Asymptote A

Time bar (total: 7.5s)

analyze2.0ms (0%)

Memory
8.2MiB live, 8.2MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
50%50%50%0%0%0%0%3
75%75%25%0%0%0%0%4
87.5%87.5%12.5%0%0%0%0%5
93.8%93.7%6.2%0%0%0%0%6
96.9%96.8%3.1%0%0%0%0%7
98.4%98.4%1.6%0%0%0%0%8
99.2%99.2%0.8%0%0%0%0%9
99.6%99.6%0.4%0%0%0%0%10
99.8%99.8%0.2%0%0%0%0%11
99.9%99.9%0.1%0%0%0%0%12
Compiler

Compiled 13 to 9 computations (30.8% saved)

sample931.0ms (12.4%)

Memory
25.0MiB live, 1 245.5MiB allocated
Samples
413.0ms3 808×1valid
304.0ms4 448×0valid
Precisions
Click to see histograms. Total time spent on operations: 422.0ms
ival-div: 185.0ms (43.8% of total)
ival-sub: 107.0ms (25.4% of total)
ival-add: 66.0ms (15.6% of total)
adjust: 49.0ms (11.6% of total)
exact: 7.0ms (1.7% of total)
ival-true: 6.0ms (1.4% of total)
ival-assert: 3.0ms (0.7% of total)
Bogosity

preprocess29.0ms (0.4%)

Memory
-2.5MiB live, 35.7MiB allocated
Algorithm
egg-herbie
Rules
160×accelerator-lowering-fma.f32
160×accelerator-lowering-fma.f64
96×*-lowering-*.f32
96×*-lowering-*.f64
72×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01436
13035
26633
313333
424833
530233
630933
0711
11511
22211
33511
45611
58111
612611
717111
823911
927611
1029611
1129611
029611
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
Outputs
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
Call 2
Inputs
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
(- (/ 1 (+ (neg x) 1)) (/ 1 (- (neg x) 1)))
(neg (- (/ 1 (+ (neg x) 1)) (/ 1 (- (neg x) 1))))
Outputs
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
(+ (/ 1 (- 1 x)) (/ 1 (+ 1 x)))
(- (/ 1 (+ (neg x) 1)) (/ 1 (- (neg x) 1)))
(+ (/ 1 (- 1 x)) (/ 1 (+ 1 x)))
(neg (- (/ 1 (+ (neg x) 1)) (/ 1 (- (neg x) 1))))
(+ (/ 1 (- -1 x)) (/ 1 (+ x -1)))
Symmetry

(abs x)

explain124.0ms (1.6%)

Memory
1.4MiB live, 163.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
640-0-(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
00-0-(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
00-0-(+.f64 x #s(literal 1 binary64))
00-0-(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
00-0-(-.f64 x #s(literal 1 binary64))
00-0-#s(literal 1 binary64)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))cancellation640
Confusion
Predicted +Predicted -
+640
-0192
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+6400
-00192
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0192
164
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
52.0ms228×1valid
16.0ms284×0valid
Compiler

Compiled 86 to 32 computations (62.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-div: 11.0ms (42.5% of total)
ival-sub: 7.0ms (27% of total)
ival-add: 4.0ms (15.5% of total)
adjust: 3.0ms (11.6% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.7%
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 12 to 7 computations (41.7% saved)

simplify23.0ms (0.3%)

Memory
-27.2MiB live, 11.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
cost-diff0
(+.f64 x #s(literal 1 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
cost-diff0
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Rules
160×accelerator-lowering-fma.f32
160×accelerator-lowering-fma.f64
96×*-lowering-*.f32
96×*-lowering-*.f64
72×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0729
11529
22229
33529
45629
58129
612629
717129
823929
927629
1029629
1129629
029629
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
(/ 1 (+ x 1))
1
(+ x 1)
x
(/ 1 (- x 1))
(- x 1)
Outputs
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(/ 1 (+ x 1))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
1
#s(literal 1 binary64)
(+ x 1)
(+.f64 #s(literal 1 binary64) x)
x
(/ 1 (- x 1))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))
(- x 1)
(+.f64 x #s(literal -1 binary64))

localize33.0ms (0.4%)

Memory
3.3MiB live, 42.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 x #s(literal 1 binary64))
accuracy100.0%
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
accuracy78.7%
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Samples
12.0ms114×1valid
10.0ms142×0valid
Compiler

Compiled 31 to 9 computations (71% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-div: 5.0ms (34.4% of total)
ival-add: 4.0ms (27.5% of total)
ival-sub: 3.0ms (20.6% of total)
adjust: 1.0ms (6.9% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series2.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#<alt (- (/ 1 (+ x 1)) (/ 1 (- x 1)))>
#<alt (/ 1 (+ x 1))>
#<alt (+ x 1)>
#<alt (/ 1 (- x 1))>
Outputs
#<alt 2>
#<alt (+ 2 (* 2 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))>
#<alt (/ -2 (pow x 2))>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- x 1)))>
#<alt (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))>
#<alt (/ 1 x)>
#<alt (/ (- 1 (/ 1 x)) x)>
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)>
#<alt (/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (/ 1 x) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -1 x) 1)) 1)) 1)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (/ 1 x)) x)>
#<alt (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)>
#<alt (/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (/ 1 x)) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))>
Calls

12 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
0.0ms
x
@0
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
0.0ms
x
@-inf
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
0.0ms
x
@inf
(/ 1 (+ x 1))
0.0ms
x
@inf
(+ x 1)

rewrite455.0ms (6%)

Memory
5.6MiB live, 597.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
10 498×accelerator-lowering-fma.f32
10 498×accelerator-lowering-fma.f64
3 964×*-lowering-*.f32
3 964×*-lowering-*.f64
3 924×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0724
16124
266124
0907722
Stop Event
iter limit
node limit
Counts
4 → 702
Calls
Call 1
Inputs
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
(/ 1 (+ x 1))
(+ x 1)
(/ 1 (- x 1))
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))))) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)))))))
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))) (+.f64 x (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)))) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (+.f64 x (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)))) (fma.f64 x x #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))))))
(-.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))) (+.f64 x (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)))) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (+.f64 x (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)))) (fma.f64 x x #s(literal -1 binary64))))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))) (+.f64 x (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)))) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (+.f64 x (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)))) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 x (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x))) (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (+.f64 x (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)))) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))))) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)))) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (+.f64 x (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)))) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
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(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (+.f64 x #s(literal -1 binary64)))

simplify409.0ms (5.4%)

Memory
16.3MiB live, 443.1MiB allocated
Algorithm
egg-herbie
Rules
10 646×accelerator-lowering-fma.f32
10 646×accelerator-lowering-fma.f64
3 680×*-lowering-*.f32
3 680×*-lowering-*.f64
1 938×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
080405
1220395
2557373
31746352
45225352
08136343
Stop Event
iter limit
node limit
Counts
48 → 48
Calls
Call 1
Inputs
2
(+ 2 (* 2 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(/ 1 x)
(/ (- 1 (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(/ 1 x)
(* -1 (/ (- (/ 1 x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
-1
(- (* -1 x) 1)
(- (* x (- (* -1 x) 1)) 1)
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1)
(/ 1 x)
(/ (+ 1 (/ 1 x)) x)
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)
(/ 1 x)
(/ (+ 1 (/ 1 x)) x)
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))
Outputs
2
#s(literal 2 binary64)
(+ 2 (* 2 (pow x 2)))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(fma.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64)))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(*.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(*.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- x 1)))
(-.f64 (fma.f64 x x #s(literal 1 binary64)) x)
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (/ 1 x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (/ 1 x) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1 x) 1)) 1)
(-.f64 #s(literal -1 binary64) (fma.f64 x x x))
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1)
(*.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (/ 1 x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (/ 1 x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)) x)

eval116.0ms (1.5%)

Memory
13.5MiB live, 164.9MiB allocated
Compiler

Compiled 21 655 to 1 996 computations (90.8% saved)

prune138.0ms (1.8%)

Memory
-9.4MiB live, 191.8MiB allocated
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New7437750
Fresh000
Picked101
Done000
Total7447751
Accuracy
99.2%
Counts
751 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.4%
(fma.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal 2 binary64))
53.3%
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
79.7%
(/.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
79.7%
(/.f64 (+.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
46.6%
(/.f64 #s(literal -2 binary64) (*.f64 x x))
56.2%
(*.f64 (/.f64 (+.f64 x (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
53.7%
#s(literal 2 binary64)
Compiler

Compiled 156 to 84 computations (46.2% saved)

simplify625.0ms (8.3%)

Memory
-4.5MiB live, 370.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 x (*.f64 x x) x)
cost-diff0
(*.f64 x (fma.f64 x (*.f64 x x) x))
cost-diff128
(fma.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal 2 binary64))
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 #s(literal -2 binary64) (*.f64 x x))
cost-diff0
(*.f64 x x)
cost-diff128
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
cost-diff0
(+.f64 x #s(literal -1 binary64))
cost-diff0
(-.f64 #s(literal -1 binary64) x)
cost-diff0
(/.f64 (+.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
cost-diff576
(+.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64)))
Rules
12 718×accelerator-lowering-fma.f32
12 718×accelerator-lowering-fma.f64
3 266×*-lowering-*.f32
3 266×*-lowering-*.f64
1 912×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01890
14990
212272
328772
444572
588272
6292672
7542472
8665172
9731172
10756572
11769772
12772672
0804166
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (+ (- -1 x) (+ x -1)) (+ (* x x) -1))
(+ (- -1 x) (+ x -1))
(- -1 x)
-1
x
(+ x -1)
(+ (* x x) -1)
2
(+ (* 2 (* x x)) 2)
2
(* x x)
x
(/ -2 (* x x))
-2
(* x x)
x
(+ (* 2 (* x (+ (* x (* x x)) x))) 2)
2
(* x (+ (* x (* x x)) x))
x
(+ (* x (* x x)) x)
(* x x)
Outputs
(/ (+ (- -1 x) (+ x -1)) (+ (* x x) -1))
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64)))
(+ (- -1 x) (+ x -1))
#s(literal -2 binary64)
(- -1 x)
(-.f64 #s(literal -1 binary64) x)
-1
#s(literal -1 binary64)
x
(+ x -1)
(+.f64 #s(literal -1 binary64) x)
(+ (* x x) -1)
(fma.f64 x x #s(literal -1 binary64))
2
#s(literal 2 binary64)
(+ (* 2 (* x x)) 2)
(fma.f64 x (+.f64 x x) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* x x)
(*.f64 x x)
x
(/ -2 (* x x))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
-2
#s(literal -2 binary64)
(* x x)
(*.f64 x x)
x
(+ (* 2 (* x (+ (* x (* x x)) x))) 2)
(fma.f64 (*.f64 x x) (fma.f64 x (+.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* x (+ (* x (* x x)) x))
(*.f64 x (fma.f64 x (*.f64 x x) x))
x
(+ (* x (* x x)) x)
(fma.f64 x (*.f64 x x) x)
(* x x)
(*.f64 x x)

localize114.0ms (1.5%)

Memory
6.0MiB live, 83.3MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal 2 binary64))
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(*.f64 x (fma.f64 x (*.f64 x x) x))
accuracy100.0%
(fma.f64 x (*.f64 x x) x)
accuracy100.0%
(*.f64 x x)
accuracy99.0%
(/.f64 #s(literal -2 binary64) (*.f64 x x))
accuracy100.0%
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(-.f64 #s(literal -1 binary64) x)
accuracy100.0%
(+.f64 x #s(literal -1 binary64))
accuracy99.1%
(/.f64 (+.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
accuracy56.5%
(+.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64)))
Samples
64.0ms145×0valid
26.0ms111×1valid
Compiler

Compiled 85 to 20 computations (76.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-mult: 10.0ms (34.9% of total)
ival-add: 9.0ms (31.4% of total)
ival-div: 4.0ms (13.9% of total)
adjust: 3.0ms (10.5% of total)
ival-sub: 2.0ms (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
5.2MiB live, 5.2MiB allocated
Counts
10 → 120
Calls
Call 1
Inputs
#<alt (+ (- -1 x) (+ x -1))>
#<alt (/ (+ (- -1 x) (+ x -1)) (+ (* x x) -1))>
#<alt (- -1 x)>
#<alt (+ x -1)>
#<alt (+ (* 2 (* x x)) 2)>
#<alt (* x x)>
#<alt (/ -2 (* x x))>
#<alt (+ (* 2 (* x (+ (* x (* x x)) x))) 2)>
#<alt (* x (+ (* x (* x x)) x))>
#<alt (+ (* x (* x x)) x)>
Outputs
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt 2>
#<alt (+ 2 (* 2 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))>
#<alt (/ -2 (pow x 2))>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* -1 x) 1)>
#<alt (- (* -1 x) 1)>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (/ 1 x))))>
#<alt (* -1 (* x (+ 1 (/ 1 x))))>
#<alt (* -1 (* x (+ 1 (/ 1 x))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (/ 1 x))))>
#<alt (* -1 (* x (+ 1 (/ 1 x))))>
#<alt (* -1 (* x (+ 1 (/ 1 x))))>
#<alt -1>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt x>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt 2>
#<alt (+ 2 (* 2 (pow x 2)))>
#<alt (+ 2 (* 2 (pow x 2)))>
#<alt (+ 2 (* 2 (pow x 2)))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt 2>
#<alt (+ 2 (* 2 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))>
#<alt (* 2 (pow x 4))>
#<alt (* (pow x 4) (+ 2 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))>
#<alt (* (pow x 4) (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))>
#<alt (* 2 (pow x 4))>
#<alt (* (pow x 4) (+ 2 (* 2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))>
#<alt (* (pow x 4) (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (pow x 2)))>
#<alt (* (pow x 2) (+ 1 (pow x 2)))>
#<alt (* (pow x 2) (+ 1 (pow x 2)))>
#<alt (pow x 4)>
#<alt (* (pow x 4) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1 (/ 1 (pow x 2))))>
#<alt (pow x 4)>
#<alt (* (pow x 4) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1 (/ 1 (pow x 2))))>
#<alt x>
#<alt (* x (+ 1 (pow x 2)))>
#<alt (* x (+ 1 (pow x 2)))>
#<alt (* x (+ 1 (pow x 2)))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1 (/ 1 (pow x 2))))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ 1 (/ 1 (pow x 2))))>
Calls

30 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(+ (* 2 (* x (+ (* x (* x x)) x))) 2)
0.0ms
x
@inf
(+ (* 2 (* x x)) 2)
0.0ms
x
@0
(/ -2 (* x x))
0.0ms
x
@0
(/ (+ (- -1 x) (+ x -1)) (+ (* x x) -1))
0.0ms
x
@0
(+ (* 2 (* x (+ (* x (* x x)) x))) 2)

rewrite378.0ms (5%)

Memory
-0.8MiB live, 360.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 930×/-lowering-/.f32
4 930×/-lowering-/.f64
4 008×*-lowering-*.f32
4 008×*-lowering-*.f64
3 982×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01864
113764
2127164
0851159
Stop Event
iter limit
node limit
Counts
10 → 506
Calls
Call 1
Inputs
(+ (- -1 x) (+ x -1))
(/ (+ (- -1 x) (+ x -1)) (+ (* x x) -1))
(- -1 x)
(+ x -1)
(+ (* 2 (* x x)) 2)
(* x x)
(/ -2 (* x x))
(+ (* 2 (* x (+ (* x (* x x)) x))) 2)
(* x (+ (* x (* x x)) x))
(+ (* x (* x x)) x)
Outputs
(+.f64 #s(literal -1 binary64) (+.f64 x (-.f64 #s(literal -1 binary64) x)))
(+.f64 #s(literal -1 binary64) (neg.f64 (-.f64 x (+.f64 #s(literal -1 binary64) x))))
(+.f64 #s(literal -1 binary64) (+.f64 (neg.f64 x) (+.f64 #s(literal -1 binary64) x)))
(+.f64 x (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)))
(+.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) x))
(+.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))
(+.f64 (+.f64 x (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))
(+.f64 (+.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)
(+.f64 (+.f64 (+.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 x))
(-.f64 #s(literal -1 binary64) (-.f64 x (+.f64 #s(literal -1 binary64) x)))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (-.f64 (-.f64 (-.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64))) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) x)) (-.f64 (-.f64 (-.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64))))
(-.f64 (+.f64 (+.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)
(-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x (+.f64 #s(literal -1 binary64) x)) (-.f64 x (+.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal -1 binary64) (-.f64 x (+.f64 #s(literal -1 binary64) x)))))) (/.f64 (*.f64 (-.f64 x (+.f64 #s(literal -1 binary64) x)) (*.f64 (-.f64 x (+.f64 #s(literal -1 binary64) x)) (-.f64 x (+.f64 #s(literal -1 binary64) x)))) (+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x (+.f64 #s(literal -1 binary64) x)) (-.f64 x (+.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal -1 binary64) (-.f64 x (+.f64 #s(literal -1 binary64) x)))))))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) x)) (-.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))) (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (-.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))))
(-.f64 (/.f64 (*.f64 (+.f64 x (-.f64 #s(literal -1 binary64) x)) (+.f64 x (-.f64 #s(literal -1 binary64) x))) (-.f64 (+.f64 x (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 x (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (-.f64 x (+.f64 #s(literal -1 binary64) x)))) (/.f64 (*.f64 (-.f64 x (+.f64 #s(literal -1 binary64) x)) (-.f64 x (+.f64 #s(literal -1 binary64) x))) (+.f64 #s(literal -1 binary64) (-.f64 x (+.f64 #s(literal -1 binary64) x)))))
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x))) (-.f64 #s(literal -1 binary64) x))
(fma.f64 (-.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x))) (-.f64 #s(literal -1 binary64) x))
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) x))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x)) (+.f64 #s(literal -1 binary64) x))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 #s(literal -1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x)) (/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 #s(literal -1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x)) (/.f64 (+.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x))) (-.f64 #s(literal -1 binary64) x))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x)) (+.f64 #s(literal -1 binary64) x))
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) x))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x)))) (+.f64 #s(literal -1 binary64) x))
(fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x)))) (+.f64 #s(literal -1 binary64) x))
(fma.f64 (/.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x)))) (+.f64 #s(literal -1 binary64) x))
(fma.f64 (/.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 #s(literal -1 binary64) x))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))) (-.f64 #s(literal -1 binary64) x))
(fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x))) (-.f64 #s(literal -1 binary64) x))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) (+.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))
(fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))) (-.f64 #s(literal -1 binary64) x))
(fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x))) (-.f64 #s(literal -1 binary64) x))
(fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) x)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x))) (-.f64 #s(literal -1 binary64) x))
(fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) (/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) x)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) x))
(fma.f64 (/.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 (+.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))) (-.f64 #s(literal -1 binary64) x))
(fma.f64 (/.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (/.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x))) (-.f64 #s(literal -1 binary64) x))
(fma.f64 (/.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (+.f64 x (-.f64 #s(literal -1 binary64) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (+.f64 x (-.f64 #s(literal -1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (+.f64 x (-.f64 #s(literal -1 binary64) x)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) x) (-.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (*.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) x)))) (fma.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (*.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x))) (fma.f64 (-.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x)) (*.f64 (fma.f64 x (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (+.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 x (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x))) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x)) (*.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 x x #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x)) (fma.f64 x (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) (fma.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (fma.f64 x (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x)) (-.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x)) (+.f64 #s(literal -1 binary64) x)) (fma.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) x) (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) x) (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 x (-.f64 #s(literal -1 binary64) x)) (+.f64 x (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 x (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)))) (fma.f64 (+.f64 x (-.f64 #s(literal -1 binary64) x)) (*.f64 (+.f64 x (-.f64 #s(literal -1 binary64) x)) (+.f64 x (-.f64 #s(literal -1 binary64) x))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x (+.f64 #s(literal -1 binary64) x)) (-.f64 x (+.f64 #s(literal -1 binary64) x)) (*.f64 #s(literal -1 binary64) (-.f64 x (+.f64 #s(literal -1 binary64) x))))) (-.f64 #s(literal -1 binary64) (*.f64 (-.f64 x (+.f64 #s(literal -1 binary64) x)) (*.f64 (-.f64 x (+.f64 #s(literal -1 binary64) x)) (-.f64 x (+.f64 #s(literal -1 binary64) x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (-.f64 (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) x)) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 x (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) (-.f64 (*.f64 (+.f64 x (-.f64 #s(literal -1 binary64) x)) (+.f64 x (-.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (-.f64 x (+.f64 #s(literal -1 binary64) x))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 x (+.f64 #s(literal -1 binary64) x)) (-.f64 x (+.f64 #s(literal -1 binary64) x))))))
(/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (*.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) x)))) (fma.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))))
(/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (*.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) x)))) (fma.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) x) (-.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (*.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) x)))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (-.f64 #s(literal -1 binary64) x))) (-.f64 (-.f64 (-.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64))) (-.f64 (-.f64 (-.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64)))
(/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x)) (*.f64 (fma.f64 x (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (*.f64 (fma.f64 x (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x))))
(/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (+.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 x (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (*.f64 (fma.f64 x (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x)) (*.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal -1 binary64) x) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x))))
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal 4 binary64))) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x x) x) #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x x) x) #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal 4 binary64))) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x x) x) #s(literal 2 binary64)) #s(literal -2 binary64))) (/.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal 4 binary64))) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x x) x) #s(literal 2 binary64)) #s(literal -2 binary64))) (fma.f64 (/.f64 #s(literal 4 binary64) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x x) x) #s(literal 2 binary64)) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x x) x) #s(literal 2 binary64)) #s(literal -2 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal 4 binary64))) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x x) x) #s(literal 2 binary64)) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x x) x) #s(literal 2 binary64)) #s(literal -2 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal 2 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x (fma.f64 x (*.f64 x x) x)))) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal 4 binary64)))))
(*.f64 (fma.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal 4 binary64)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (fma.f64 x (*.f64 x x) x) #s(literal 2 binary64)) #s(literal -2 binary64))))
(*.f64 (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64)) #s(literal 2 binary64))
(+.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))
(+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x))))
(fma.f64 x x (*.f64 x (*.f64 x (*.f64 x x))))
(fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 x x))
(fma.f64 (*.f64 x x) (*.f64 x x) (*.f64 x x))
(fma.f64 (*.f64 x (*.f64 x x)) x (*.f64 x x))
(fma.f64 (neg.f64 (*.f64 x x)) (neg.f64 (*.f64 x x)) (*.f64 x x))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 x (*.f64 x (*.f64 x x))))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x x) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (*.f64 x x)) x) (*.f64 x (*.f64 (fma.f64 x (*.f64 x x) x) (-.f64 (*.f64 x (*.f64 x x)) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x (*.f64 x x)) x) (*.f64 (*.f64 (fma.f64 x (*.f64 x x) x) (-.f64 (*.f64 x (*.f64 x x)) x)) x)))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x x) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x)))
(/.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))) (fma.f64 x (-.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 x (*.f64 (fma.f64 x (*.f64 x x) x) (-.f64 (*.f64 x (*.f64 x x)) x))) (-.f64 (*.f64 x (*.f64 x x)) x))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) x) (fma.f64 x (-.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) x) (-.f64 (*.f64 x (*.f64 x x)) x)) x) (-.f64 (*.f64 x (*.f64 x x)) x))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (neg.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x x) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))) (neg.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))
(/.f64 (neg.f64 (*.f64 x (*.f64 (fma.f64 x (*.f64 x x) x) (-.f64 (*.f64 x (*.f64 x x)) x)))) (neg.f64 (-.f64 (*.f64 x (*.f64 x x)) x)))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) x)) (neg.f64 (fma.f64 x (-.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) x) (-.f64 (*.f64 x (*.f64 x x)) x)) x)) (neg.f64 (-.f64 (*.f64 x (*.f64 x x)) x)))
(/.f64 (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fma.f64 x (*.f64 x (*.f64 x x)) (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))
(*.f64 x (fma.f64 x (*.f64 x x) x))
(*.f64 (fma.f64 x (*.f64 x x) x) x)
(+.f64 x (*.f64 x (*.f64 x x)))
(+.f64 (*.f64 x (*.f64 x x)) x)
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x (*.f64 x x)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x x)) x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (-.f64 x (*.f64 x (*.f64 x x)))))
(fma.f64 x (*.f64 x x) x)
(fma.f64 (*.f64 x x) x x)
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) (fma.f64 x (-.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) (fma.f64 x x (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) x) (-.f64 (*.f64 x (*.f64 x x)) x)) (-.f64 (*.f64 x (*.f64 x x)) x))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 x x) x) (-.f64 (*.f64 x (*.f64 x x)) x))) (neg.f64 (-.f64 (*.f64 x (*.f64 x x)) x)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (-.f64 x (*.f64 x (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x (*.f64 x x)) x)) (*.f64 (-.f64 (*.f64 x (*.f64 x x)) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 x (*.f64 x x)) x) (-.f64 (*.f64 x (*.f64 x x)) x)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 x x) x) (-.f64 (*.f64 x (*.f64 x x)) x)))) (neg.f64 (neg.f64 (-.f64 (*.f64 x (*.f64 x x)) x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (neg.f64 (-.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x (*.f64 x x)) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x x)) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x (*.f64 x x)) x)) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x (*.f64 x x)) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x x)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x x)) x)) (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x (*.f64 x x)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x x)) x))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) x)) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))
(*.f64 (*.f64 (fma.f64 x (*.f64 x x) x) (-.f64 (*.f64 x (*.f64 x x)) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 x x)) x)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) x)

simplify273.0ms (3.6%)

Memory
28.1MiB live, 454.3MiB allocated
Algorithm
egg-herbie
Rules
10 196×accelerator-lowering-fma.f32
10 196×accelerator-lowering-fma.f64
3 414×*-lowering-*.f32
3 414×*-lowering-*.f64
2 158×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053689
1167653
2438614
31438606
44349606
08300568
Stop Event
iter limit
node limit
Counts
120 → 120
Calls
Call 1
Inputs
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
2
(+ 2 (* 2 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
-1
(- (* -1 x) 1)
(- (* -1 x) 1)
(- (* -1 x) 1)
(* -1 x)
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 x)
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
-1
(- x 1)
(- x 1)
(- x 1)
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
2
(+ 2 (* 2 (pow x 2)))
(+ 2 (* 2 (pow x 2)))
(+ 2 (* 2 (pow x 2)))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
2
(+ 2 (* 2 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(* 2 (pow x 4))
(* (pow x 4) (+ 2 (* 2 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* (pow x 4) (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* 2 (pow x 4))
(* (pow x 4) (+ 2 (* 2 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(* (pow x 4) (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(pow x 2)
(* (pow x 2) (+ 1 (pow x 2)))
(* (pow x 2) (+ 1 (pow x 2)))
(* (pow x 2) (+ 1 (pow x 2)))
(pow x 4)
(* (pow x 4) (+ 1 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1 (/ 1 (pow x 2))))
(pow x 4)
(* (pow x 4) (+ 1 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1 (/ 1 (pow x 2))))
x
(* x (+ 1 (pow x 2)))
(* x (+ 1 (pow x 2)))
(* x (+ 1 (pow x 2)))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1 (/ 1 (pow x 2))))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1 (/ 1 (pow x 2))))
(* (pow x 3) (+ 1 (/ 1 (pow x 2))))
Outputs
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
2
#s(literal 2 binary64)
(+ 2 (* 2 (pow x 2)))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(fma.f64 x (*.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x x) x)) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x))
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (/ 1 x))))
(-.f64 #s(literal -1 binary64) x)
(* -1 (* x (+ 1 (/ 1 x))))
(-.f64 #s(literal -1 binary64) x)
(* -1 (* x (+ 1 (/ 1 x))))
(-.f64 #s(literal -1 binary64) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (/ 1 x))))
(-.f64 #s(literal -1 binary64) x)
(* -1 (* x (+ 1 (/ 1 x))))
(-.f64 #s(literal -1 binary64) x)
(* -1 (* x (+ 1 (/ 1 x))))
(-.f64 #s(literal -1 binary64) x)
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
x
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
(* x (- 1 (/ 1 x)))
(+.f64 x #s(literal -1 binary64))
x
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
2
#s(literal 2 binary64)
(+ 2 (* 2 (pow x 2)))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* 2 (pow x 2)))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* 2 (pow x 2)))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(*.f64 #s(literal 2 binary64) (*.f64 x x))
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
2
#s(literal 2 binary64)
(+ 2 (* 2 (pow x 2)))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(fma.f64 x (*.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x x) x)) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(fma.f64 x (*.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x x) x)) #s(literal 2 binary64))
(* 2 (pow x 4))
(*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 2 (* 2 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x x) x)))
(* (pow x 4) (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(fma.f64 x (*.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x x) x)) #s(literal 2 binary64))
(* (pow x 4) (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(fma.f64 x (*.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x x) x)) #s(literal 2 binary64))
(* 2 (pow x 4))
(*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (+ 2 (* 2 (/ 1 (pow x 2)))))
(*.f64 x (*.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x x) x)))
(* (pow x 4) (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(fma.f64 x (*.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x x) x)) #s(literal 2 binary64))
(* (pow x 4) (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))))
(fma.f64 x (*.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x x) x)) #s(literal 2 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (pow x 2)))
(*.f64 x (fma.f64 x (*.f64 x x) x))
(* (pow x 2) (+ 1 (pow x 2)))
(*.f64 x (fma.f64 x (*.f64 x x) x))
(* (pow x 2) (+ 1 (pow x 2)))
(*.f64 x (fma.f64 x (*.f64 x x) x))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(* (pow x 4) (+ 1 (/ 1 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x x) x))
(* (pow x 4) (+ 1 (/ 1 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x x) x))
(* (pow x 4) (+ 1 (/ 1 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x x) x))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(* (pow x 4) (+ 1 (/ 1 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x x) x))
(* (pow x 4) (+ 1 (/ 1 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x x) x))
(* (pow x 4) (+ 1 (/ 1 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x x) x))
x
(* x (+ 1 (pow x 2)))
(fma.f64 x (*.f64 x x) x)
(* x (+ 1 (pow x 2)))
(fma.f64 x (*.f64 x x) x)
(* x (+ 1 (pow x 2)))
(fma.f64 x (*.f64 x x) x)
(pow x 3)
(*.f64 x (*.f64 x x))
(* (pow x 3) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x (*.f64 x x) x)
(* (pow x 3) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x (*.f64 x x) x)
(* (pow x 3) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x (*.f64 x x) x)
(pow x 3)
(*.f64 x (*.f64 x x))
(* (pow x 3) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x (*.f64 x x) x)
(* (pow x 3) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x (*.f64 x x) x)
(* (pow x 3) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x (*.f64 x x) x)

eval115.0ms (1.5%)

Memory
-19.3MiB live, 143.6MiB allocated
Compiler

Compiled 17 611 to 1 904 computations (89.2% saved)

prune65.0ms (0.9%)

Memory
-11.1MiB live, 148.0MiB allocated
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New6642666
Fresh202
Picked235
Done000
Total6685673
Accuracy
100.0%
Counts
673 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.3%
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
47.4%
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
99.1%
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64)))
46.6%
(/.f64 #s(literal -2 binary64) (*.f64 x x))
53.7%
#s(literal 2 binary64)
Compiler

Compiled 28 to 19 computations (32.1% saved)

simplify480.0ms (6.4%)

Memory
-1.6MiB live, 591.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal -2 binary64) x)
cost-diff384
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
cost-diff0
(fma.f64 x x #s(literal -1 binary64))
cost-diff0
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64)))
Rules
19 056×accelerator-lowering-fma.f32
19 056×accelerator-lowering-fma.f64
3 340×*-lowering-*.f32
3 340×*-lowering-*.f64
2 728×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0825
11425
22225
33925
47025
513625
629925
758325
8206425
9318025
10449725
11520525
12559625
13597425
14625625
15680725
16766525
0817323
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ -2 (+ (* x x) -1))
-2
(+ (* x x) -1)
x
-1
(/ (/ -2 x) x)
(/ -2 x)
-2
x
Outputs
(/ -2 (+ (* x x) -1))
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64)))
-2
#s(literal -2 binary64)
(+ (* x x) -1)
(fma.f64 x x #s(literal -1 binary64))
x
-1
#s(literal -1 binary64)
(/ (/ -2 x) x)
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
-2
#s(literal -2 binary64)
x

localize26.0ms (0.3%)

Memory
8.5MiB live, 46.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 #s(literal -2 binary64) x)
accuracy99.8%
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
accuracy100.0%
(fma.f64 x x #s(literal -1 binary64))
accuracy99.1%
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64)))
Samples
17.0ms256×0valid
Compiler

Compiled 25 to 10 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 5.0ms (57.6% of total)
ival-mult: 2.0ms (23.1% of total)
ival-add: 1.0ms (11.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory
2.8MiB live, 2.8MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#<alt (/ -2 (+ (* x x) -1))>
#<alt (+ (* x x) -1)>
#<alt (/ (/ -2 x) x)>
#<alt (/ -2 x)>
Outputs
#<alt 2>
#<alt (+ 2 (* 2 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))>
#<alt (/ -2 (pow x 2))>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))>
#<alt -1>
#<alt (- (pow x 2) 1)>
#<alt (- (pow x 2) 1)>
#<alt (- (pow x 2) 1)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
Calls

12 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(/ -2 x)
0.0ms
x
@-inf
(/ -2 x)
0.0ms
x
@0
(/ -2 x)
0.0ms
x
@0
(/ -2 (+ (* x x) -1))
0.0ms
x
@inf
(+ (* x x) -1)

rewrite540.0ms (7.2%)

Memory
-124.0MiB live, 561.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 758×accelerator-lowering-fma.f32
4 758×accelerator-lowering-fma.f64
4 148×/-lowering-/.f32
4 148×/-lowering-/.f64
3 176×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0820
14720
230620
3250620
0957218
Stop Event
iter limit
node limit
Counts
4 → 411
Calls
Call 1
Inputs
(/ -2 (+ (* x x) -1))
(+ (* x x) -1)
(/ (/ -2 x) x)
(/ -2 x)
Outputs
(+.f64 (*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
(+.f64 (*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (*.f64 x x)) (*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)))))
(+.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)))))
(+.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) #s(literal -1/2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) #s(literal -1/2 binary64)))
(-.f64 (/.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))) #s(literal -1/2 binary64)) (/.f64 (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 x x) (/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))))
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(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) x))
(*.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) x))
(neg.f64 (/.f64 #s(literal 2 binary64) x))
(neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))
(/.f64 #s(literal -2 binary64) x)
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(/.f64 #s(literal 2 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (*.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
(*.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))
(*.f64 (pow.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))

simplify241.0ms (3.2%)

Memory
40.3MiB live, 424.9MiB allocated
Algorithm
egg-herbie
Rules
9 048×accelerator-lowering-fma.f32
9 048×accelerator-lowering-fma.f64
3 106×*-lowering-*.f32
3 106×*-lowering-*.f64
1 532×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030306
176306
2229292
3665284
42320284
55612284
08158270
Stop Event
iter limit
node limit
Counts
48 → 48
Calls
Call 1
Inputs
2
(+ 2 (* 2 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
-1
(- (pow x 2) 1)
(- (pow x 2) 1)
(- (pow x 2) 1)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
Outputs
2
#s(literal 2 binary64)
(+ 2 (* 2 (pow x 2)))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(fma.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64))))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (*.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (*.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))) (*.f64 x x))
-1
#s(literal -1 binary64)
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)

eval71.0ms (0.9%)

Memory
13.2MiB live, 152.9MiB allocated
Compiler

Compiled 10 946 to 1 234 computations (88.7% saved)

prune61.0ms (0.8%)

Memory
-32.8MiB live, 139.5MiB allocated
Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New4572459
Fresh000
Picked022
Done033
Total4577464
Accuracy
100.0%
Counts
464 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.3%
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
47.4%
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
60.6%
(/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)))
63.7%
(/.f64 (neg.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))
99.1%
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64)))
46.6%
(/.f64 #s(literal -2 binary64) (*.f64 x x))
53.7%
#s(literal 2 binary64)
Compiler

Compiled 72 to 44 computations (38.9% saved)

simplify258.0ms (3.4%)

Memory
11.2MiB live, 466.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))
cost-diff0
(*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))
cost-diff0
(/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)))
cost-diff0
(fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))
cost-diff0
(/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))
cost-diff128
(neg.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))))
cost-diff2432
(/.f64 (neg.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))
Rules
9 596×accelerator-lowering-fma.f32
9 596×accelerator-lowering-fma.f64
2 960×*-lowering-*.f32
2 960×*-lowering-*.f64
1 384×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020151
164124
2150117
3458117
41300111
53754111
66416111
08050102
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (neg (/ -2 (+ (* x (* x (* x x))) -1))) (/ -1 (+ (* x x) 1)))
(neg (/ -2 (+ (* x (* x (* x x))) -1)))
(/ -2 (+ (* x (* x (* x x))) -1))
-2
(+ (* x (* x (* x x))) -1)
x
(* x (* x x))
(* x x)
-1
(/ -1 (+ (* x x) 1))
(+ (* x x) 1)
1
(/ (* -2 (+ (* (* x x) (+ (* x x) 1)) 1)) (+ (* x (* x (* x (* x (* x x))))) -1))
(* -2 (+ (* (* x x) (+ (* x x) 1)) 1))
-2
(+ (* (* x x) (+ (* x x) 1)) 1)
(* x x)
x
(+ (* x x) 1)
1
(+ (* x (* x (* x (* x (* x x))))) -1)
(* x (* x (* x (* x x))))
(* x (* x (* x x)))
(* x (* x x))
-1
Outputs
(/ (neg (/ -2 (+ (* x (* x (* x x))) -1))) (/ -1 (+ (* x x) 1)))
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64)))
(neg (/ -2 (+ (* x (* x (* x x))) -1)))
(/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)))
(/ -2 (+ (* x (* x (* x x))) -1))
(/.f64 #s(literal -2 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)))
-2
#s(literal -2 binary64)
(+ (* x (* x (* x x))) -1)
(fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))
x
(* x (* x x))
(*.f64 x (*.f64 x x))
(* x x)
(*.f64 x x)
-1
#s(literal -1 binary64)
(/ -1 (+ (* x x) 1))
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)))
(+ (* x x) 1)
(fma.f64 x x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(/ (* -2 (+ (* (* x x) (+ (* x x) 1)) 1)) (+ (* x (* x (* x (* x (* x x))))) -1))
(/.f64 (fma.f64 (*.f64 x x) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -2 binary64)) #s(literal -2 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))
(* -2 (+ (* (* x x) (+ (* x x) 1)) 1))
(fma.f64 (*.f64 x x) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -2 binary64)) #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(+ (* (* x x) (+ (* x x) 1)) 1)
(fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64))
(* x x)
(*.f64 x x)
x
(+ (* x x) 1)
(fma.f64 x x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ (* x (* x (* x (* x (* x x))))) -1)
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))
(* x (* x (* x (* x x))))
(*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))
(* x (* x (* x x)))
(*.f64 x (*.f64 x (*.f64 x x)))
(* x (* x x))
(*.f64 x (*.f64 x x))
-1
#s(literal -1 binary64)

localize71.0ms (0.9%)

Memory
-13.8MiB live, 144.9MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))
accuracy99.9%
(*.f64 x (*.f64 x (*.f64 x x)))
accuracy99.9%
(*.f64 x (*.f64 x x))
accuracy61.2%
(/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)))
accuracy99.9%
(/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))
accuracy99.9%
(*.f64 x (*.f64 x x))
accuracy99.2%
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)))
accuracy65.2%
(/.f64 (neg.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))
Samples
39.0ms256×0valid
Compiler

Compiled 159 to 22 computations (86.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-mult: 12.0ms (44.4% of total)
ival-add: 7.0ms (25.9% of total)
ival-div: 6.0ms (22.2% of total)
ival-neg: 1.0ms (3.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
16.9MiB live, 16.8MiB allocated
Counts
12 → 144
Calls
Call 1
Inputs
#<alt (/ (neg (/ -2 (+ (* x (* x (* x x))) -1))) (/ -1 (+ (* x x) 1)))>
#<alt (neg (/ -2 (+ (* x (* x (* x x))) -1)))>
#<alt (/ -2 (+ (* x (* x (* x x))) -1))>
#<alt (+ (* x (* x (* x x))) -1)>
#<alt (/ (* -2 (+ (* (* x x) (+ (* x x) 1)) 1)) (+ (* x (* x (* x (* x (* x x))))) -1))>
#<alt (* -2 (+ (* (* x x) (+ (* x x) 1)) 1))>
#<alt (+ (* (* x x) (+ (* x x) 1)) 1)>
#<alt (* x x)>
#<alt (/ -1 (+ (* x x) 1))>
#<alt (* x (* x x))>
#<alt (* x (* x (* x x)))>
#<alt (* x (* x (* x (* x x))))>
Outputs
#<alt 2>
#<alt (+ 2 (* 2 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))>
#<alt (/ -2 (pow x 2))>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))>
#<alt -2>
#<alt (- (* -2 (pow x 4)) 2)>
#<alt (- (* (pow x 4) (- (* -2 (pow x 4)) 2)) 2)>
#<alt (- (* (pow x 4) (- (* (pow x 4) (- (* -2 (pow x 4)) 2)) 2)) 2)>
#<alt (/ 2 (pow x 4))>
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 4))>
#<alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 4))) (/ 2 (pow x 8)))) (pow x 4))>
#<alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 12))) (/ 2 (pow x 8))))) (pow x 4))>
#<alt (/ 2 (pow x 4))>
#<alt (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 4))>
#<alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 4))) (/ 2 (pow x 8)))) (pow x 4))>
#<alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 12))) (/ 2 (pow x 8))))) (pow x 4))>
#<alt 2>
#<alt (+ 2 (* 2 (pow x 4)))>
#<alt (+ 2 (* (pow x 4) (+ 2 (* 2 (pow x 4)))))>
#<alt (+ 2 (* (pow x 4) (+ 2 (* (pow x 4) (+ 2 (* 2 (pow x 4)))))))>
#<alt (/ -2 (pow x 4))>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 4)))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 4))) 2) (pow x 4))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 8))) (+ 2 (* 2 (/ 1 (pow x 4))))) (pow x 4))>
#<alt (/ -2 (pow x 4))>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 4)))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 4))) 2) (pow x 4))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 8))) (+ 2 (* 2 (/ 1 (pow x 4))))) (pow x 4))>
#<alt -1>
#<alt (- (pow x 4) 1)>
#<alt (- (pow x 4) 1)>
#<alt (- (pow x 4) 1)>
#<alt (pow x 4)>
#<alt (* (pow x 4) (- 1 (/ 1 (pow x 4))))>
#<alt (* (pow x 4) (- 1 (/ 1 (pow x 4))))>
#<alt (* (pow x 4) (- 1 (/ 1 (pow x 4))))>
#<alt (pow x 4)>
#<alt (* (pow x 4) (- 1 (/ 1 (pow x 4))))>
#<alt (* (pow x 4) (- 1 (/ 1 (pow x 4))))>
#<alt (* (pow x 4) (- 1 (/ 1 (pow x 4))))>
#<alt 2>
#<alt (+ 2 (* 2 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))>
#<alt (/ -2 (pow x 2))>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))>
#<alt (/ -2 (pow x 2))>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))>
#<alt -2>
#<alt (- (* -2 (pow x 2)) 2)>
#<alt (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)>
#<alt (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)>
#<alt (* -2 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 2 (* 2 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2))>
#<alt (* -2 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 2 (* 2 (/ 1 (pow x 2))))))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2))>
#<alt 1>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (* (pow x 2) (+ 1 (pow x 2))))>
#<alt (+ 1 (* (pow x 2) (+ 1 (pow x 2))))>
#<alt (pow x 4)>
#<alt (* (pow x 4) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))>
#<alt (pow x 4)>
#<alt (* (pow x 4) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 4) (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt -1>
#<alt (- (pow x 2) 1)>
#<alt (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1)>
#<alt (- (* (pow x 2) (+ 1 (* (pow x 2) (- (pow x 2) 1)))) 1)>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (/ 1 (pow x 2)) 1) (pow x 2))>
#<alt (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) (pow x 2))>
#<alt (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) (pow x 2))>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (/ 1 (pow x 2)) 1) (pow x 2))>
#<alt (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) (pow x 2))>
#<alt (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) (pow x 2))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
#<alt (pow x 5)>
Calls

36 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(* x (* x x))
0.0ms
x
@inf
(neg (/ -2 (+ (* x (* x (* x x))) -1)))
0.0ms
x
@0
(* x (* x (* x (* x x))))
0.0ms
x
@0
(neg (/ -2 (+ (* x (* x (* x x))) -1)))
0.0ms
x
@inf
(/ (* -2 (+ (* (* x x) (+ (* x x) 1)) 1)) (+ (* x (* x (* x (* x (* x x))))) -1))

rewrite529.0ms (7%)

Memory
3.8MiB live, 789.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
11 566×accelerator-lowering-fma.f32
11 566×accelerator-lowering-fma.f64
5 526×*-lowering-*.f32
5 526×*-lowering-*.f64
3 554×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020108
113584
2105772
0855766
Stop Event
iter limit
node limit
Counts
12 → 1 197
Calls
Call 1
Inputs
(/ (neg (/ -2 (+ (* x (* x (* x x))) -1))) (/ -1 (+ (* x x) 1)))
(neg (/ -2 (+ (* x (* x (* x x))) -1)))
(/ -2 (+ (* x (* x (* x x))) -1))
(+ (* x (* x (* x x))) -1)
(/ (* -2 (+ (* (* x x) (+ (* x x) 1)) 1)) (+ (* x (* x (* x (* x (* x x))))) -1))
(* -2 (+ (* (* x x) (+ (* x x) 1)) 1))
(+ (* (* x x) (+ (* x x) 1)) 1)
(* x x)
(/ -1 (+ (* x x) 1))
(* x (* x x))
(* x (* x (* x x)))
(* x (* x (* x (* x x))))
Outputs
(+.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (*.f64 x x)))
(+.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (/.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1/2 binary64))))
(+.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (*.f64 x x)) (/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))))
(+.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))))
(+.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) #s(literal -2 binary64)))
(+.f64 (*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal -2 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) #s(literal -1 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal -2 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) #s(literal -1 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64))))
(+.f64 (*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal -2 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) #s(literal -1 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal -2 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) #s(literal -1 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 0 binary64)) (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64))))
(+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))) (/.f64 #s(literal -2 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))))
(+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal -2 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) #s(literal -1 binary64)))) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal -2 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) #s(literal -1 binary64)))))
(+.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal -2 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) #s(literal -1 binary64)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal -2 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) #s(literal -1 binary64)))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))))
(+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))))
(+.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (/.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1/2 binary64)))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (neg.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(-.f64 (fma.f64 (*.f64 x x) (/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))))
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))))
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (*.f64 x x)))
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (/.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1/2 binary64))))
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (*.f64 x x)) (/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))))
(fma.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (*.f64 x x)))
(fma.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1/2 binary64))))
(fma.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (*.f64 x x)))
(fma.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1/2 binary64))))
(fma.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
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(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (*.f64 x x)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)))))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)))))
(+.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)))))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (*.f64 x x) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
(neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))) (fma.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x x) x))))))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (*.f64 (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)) (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal -1 binary64)))) (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal -1 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (fma.f64 x (neg.f64 (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (*.f64 (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))
(*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)))) (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))
(*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)))) (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/2 binary64)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(*.f64 x (*.f64 x x))
(*.f64 (*.f64 x x) x)
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64))
(*.f64 (*.f64 x (*.f64 x x)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (*.f64 x (*.f64 x x)))
(*.f64 (pow.f64 (*.f64 x x) #s(literal 3/4 binary64)) (pow.f64 (*.f64 x x) #s(literal 3/4 binary64)))
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x)))))
(neg.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 x x)))))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(*.f64 x (*.f64 x (*.f64 x x)))
(*.f64 x (neg.f64 (*.f64 x (neg.f64 (*.f64 x x)))))
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 (*.f64 x x) (neg.f64 (neg.f64 (*.f64 x x))))
(*.f64 (*.f64 x (*.f64 x x)) x)
(*.f64 (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 x #s(literal -1 binary64))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(*.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) x))
(*.f64 (neg.f64 (*.f64 x x)) (neg.f64 (*.f64 x x)))
(*.f64 (*.f64 x (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (neg.f64 x) (*.f64 x (neg.f64 (*.f64 x x))))
(*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (*.f64 x #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 5 binary64)))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (*.f64 (log.f64 x) #s(literal 3 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) (log.f64 x))))
(pow.f64 x #s(literal 5 binary64))
(*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x x)))
(*.f64 (pow.f64 x #s(literal 5/2 binary64)) (pow.f64 x #s(literal 5/2 binary64)))
(*.f64 (*.f64 x (pow.f64 x #s(literal 3/2 binary64))) (*.f64 x (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) x) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) x))
(*.f64 (*.f64 (*.f64 x x) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))

simplify340.0ms (4.5%)

Memory
-18.7MiB live, 545.6MiB allocated
Algorithm
egg-herbie
Rules
13 690×accelerator-lowering-fma.f32
13 690×accelerator-lowering-fma.f64
4 056×*-lowering-*.f32
4 056×*-lowering-*.f64
2 776×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01081189
12821173
27531116
327701068
475611068
082351025
Stop Event
iter limit
node limit
Counts
144 → 144
Calls
Call 1
Inputs
2
(+ 2 (* 2 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
-2
(- (* -2 (pow x 4)) 2)
(- (* (pow x 4) (- (* -2 (pow x 4)) 2)) 2)
(- (* (pow x 4) (- (* (pow x 4) (- (* -2 (pow x 4)) 2)) 2)) 2)
(/ 2 (pow x 4))
(/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 4))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 4))) (/ 2 (pow x 8)))) (pow x 4))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 12))) (/ 2 (pow x 8))))) (pow x 4))
(/ 2 (pow x 4))
(/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 4))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 4))) (/ 2 (pow x 8)))) (pow x 4))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 12))) (/ 2 (pow x 8))))) (pow x 4))
2
(+ 2 (* 2 (pow x 4)))
(+ 2 (* (pow x 4) (+ 2 (* 2 (pow x 4)))))
(+ 2 (* (pow x 4) (+ 2 (* (pow x 4) (+ 2 (* 2 (pow x 4)))))))
(/ -2 (pow x 4))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 4)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 4))) 2) (pow x 4))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 8))) (+ 2 (* 2 (/ 1 (pow x 4))))) (pow x 4))
(/ -2 (pow x 4))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 4)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 4))) 2) (pow x 4))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 8))) (+ 2 (* 2 (/ 1 (pow x 4))))) (pow x 4))
-1
(- (pow x 4) 1)
(- (pow x 4) 1)
(- (pow x 4) 1)
(pow x 4)
(* (pow x 4) (- 1 (/ 1 (pow x 4))))
(* (pow x 4) (- 1 (/ 1 (pow x 4))))
(* (pow x 4) (- 1 (/ 1 (pow x 4))))
(pow x 4)
(* (pow x 4) (- 1 (/ 1 (pow x 4))))
(* (pow x 4) (- 1 (/ 1 (pow x 4))))
(* (pow x 4) (- 1 (/ 1 (pow x 4))))
2
(+ 2 (* 2 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
-2
(- (* -2 (pow x 2)) 2)
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)
(* -2 (pow x 4))
(* -1 (* (pow x 4) (+ 2 (* 2 (/ 1 (pow x 2))))))
(* (pow x 4) (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2))
(* (pow x 4) (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2))
(* -2 (pow x 4))
(* -1 (* (pow x 4) (+ 2 (* 2 (/ 1 (pow x 2))))))
(* (pow x 4) (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2))
(* (pow x 4) (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2))
1
(+ 1 (pow x 2))
(+ 1 (* (pow x 2) (+ 1 (pow x 2))))
(+ 1 (* (pow x 2) (+ 1 (pow x 2))))
(pow x 4)
(* (pow x 4) (+ 1 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(pow x 4)
(* (pow x 4) (+ 1 (/ 1 (pow x 2))))
(* (pow x 4) (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(* (pow x 4) (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
-1
(- (pow x 2) 1)
(- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1)
(- (* (pow x 2) (+ 1 (* (pow x 2) (- (pow x 2) 1)))) 1)
(/ -1 (pow x 2))
(/ (- (/ 1 (pow x 2)) 1) (pow x 2))
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) (pow x 2))
(/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) (pow x 2))
(/ -1 (pow x 2))
(/ (- (/ 1 (pow x 2)) 1) (pow x 2))
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) (pow x 2))
(/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) (pow x 2))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
(pow x 5)
Outputs
2
#s(literal 2 binary64)
(+ 2 (* 2 (pow x 2)))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(fma.f64 x (*.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x x) x)) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 2 binary64)))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x))
-2
#s(literal -2 binary64)
(- (* -2 (pow x 4)) 2)
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -2 binary64))) #s(literal -2 binary64))
(- (* (pow x 4) (- (* -2 (pow x 4)) 2)) 2)
(fma.f64 #s(literal -2 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))
(- (* (pow x 4) (- (* (pow x 4) (- (* -2 (pow x 4)) 2)) 2)) 2)
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal -2 binary64))) #s(literal -2 binary64)))
(/ 2 (pow x 4))
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 4))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 4))) (/ 2 (pow x 8)))) (pow x 4))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 12))) (/ 2 (pow x 8))))) (pow x 4))
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 12 binary64))) (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ 2 (pow x 4))
(/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 4))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 4))) (/ 2 (pow x 8)))) (pow x 4))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 12))) (/ 2 (pow x 8))))) (pow x 4))
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 12 binary64))) (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x (*.f64 x (*.f64 x x))))
2
#s(literal 2 binary64)
(+ 2 (* 2 (pow x 4)))
(fma.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 2 binary64))
(+ 2 (* (pow x 4) (+ 2 (* 2 (pow x 4)))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 2 binary64)) #s(literal 2 binary64))
(+ 2 (* (pow x 4) (+ 2 (* (pow x 4) (+ 2 (* 2 (pow x 4)))))))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 2 binary64)))
(/ -2 (pow x 4))
(/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 4)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 4))) 2) (pow x 4))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 8))) (+ 2 (* 2 (/ 1 (pow x 4))))) (pow x 4))
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ -2 (pow x 4))
(/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 4)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 4))) 2) (pow x 4))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 8))) (+ 2 (* 2 (/ 1 (pow x 4))))) (pow x 4))
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))) (*.f64 x (*.f64 x (*.f64 x x))))
-1
#s(literal -1 binary64)
(- (pow x 4) 1)
(fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))
(- (pow x 4) 1)
(fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))
(- (pow x 4) 1)
(fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(* (pow x 4) (- 1 (/ 1 (pow x 4))))
(fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))
(* (pow x 4) (- 1 (/ 1 (pow x 4))))
(fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))
(* (pow x 4) (- 1 (/ 1 (pow x 4))))
(fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(* (pow x 4) (- 1 (/ 1 (pow x 4))))
(fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))
(* (pow x 4) (- 1 (/ 1 (pow x 4))))
(fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))
(* (pow x 4) (- 1 (/ 1 (pow x 4))))
(fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))
2
#s(literal 2 binary64)
(+ 2 (* 2 (pow x 2)))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(fma.f64 x (*.f64 #s(literal 2 binary64) (fma.f64 x (*.f64 x x) x)) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 2 binary64)))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x))
-2
#s(literal -2 binary64)
(- (* -2 (pow x 2)) 2)
(fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))) #s(literal -2 binary64))
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))) #s(literal -2 binary64))
(* -2 (pow x 4))
(*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
(* -1 (* (pow x 4) (+ 2 (* 2 (/ 1 (pow x 2))))))
(*.f64 #s(literal -2 binary64) (*.f64 x (fma.f64 x (*.f64 x x) x)))
(* (pow x 4) (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))) #s(literal -2 binary64))
(* (pow x 4) (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))) #s(literal -2 binary64))
(* -2 (pow x 4))
(*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
(* -1 (* (pow x 4) (+ 2 (* 2 (/ 1 (pow x 2))))))
(*.f64 #s(literal -2 binary64) (*.f64 x (fma.f64 x (*.f64 x x) x)))
(* (pow x 4) (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))) #s(literal -2 binary64))
(* (pow x 4) (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2))
(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))) #s(literal -2 binary64))
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (pow x 2))))
(fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1 (pow x 2))))
(fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(* (pow x 4) (+ 1 (/ 1 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x x) x))
(* (pow x 4) (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64))
(* (pow x 4) (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(* (pow x 4) (+ 1 (/ 1 (pow x 2))))
(*.f64 x (fma.f64 x (*.f64 x x) x))
(* (pow x 4) (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64))
(* (pow x 4) (+ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow x 4)))))
(fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
-1
#s(literal -1 binary64)
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1)
(fma.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))
(- (* (pow x 2) (+ 1 (* (pow x 2) (- (pow x 2) 1)))) 1)
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (/ 1 (pow x 2)) 1) (pow x 2))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) (pow x 2))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))
(/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) (pow x 2))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (/ 1 (pow x 2)) 1) (pow x 2))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) (pow x 2))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))
(/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) (pow x 2))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))) (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 5)
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)
(pow x 5)
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)
(pow x 5)
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)
(pow x 5)
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)
(pow x 5)
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)
(pow x 5)
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)
(pow x 5)
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)
(pow x 5)
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)
(pow x 5)
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)
(pow x 5)
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)
(pow x 5)
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)
(pow x 5)
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)

eval162.0ms (2.1%)

Memory
35.5MiB live, 299.0MiB allocated
Compiler

Compiled 53 236 to 2 743 computations (94.8% saved)

prune180.0ms (2.4%)

Memory
-39.6MiB live, 229.1MiB allocated
Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New1 40431 407
Fresh000
Picked202
Done055
Total1 40681 414
Accuracy
100.0%
Counts
1 414 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.3%
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
11.2%
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))
47.4%
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
75.7%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1/2 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1/2 binary64)))))
9.5%
(/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)))
99.1%
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64)))
46.6%
(/.f64 #s(literal -2 binary64) (*.f64 x x))
53.7%
#s(literal 2 binary64)
Compiler

Compiled 305 to 118 computations (61.3% saved)

regimes9.0ms (0.1%)

Memory
11.9MiB live, 11.9MiB allocated
Counts
15 → 1
Calls
Call 1
Inputs
#s(literal 2 binary64)
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
(fma.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal 2 binary64))
(/.f64 (+.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (+.f64 x (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (neg.f64 (/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1/2 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1/2 binary64)))))
Outputs
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64)))
Calls

2 calls:

5.0ms
x
4.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
99.1%1x
99.1%1(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes4.0ms (0%)

Memory
5.5MiB live, 5.5MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(literal 2 binary64)
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
Outputs
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
Calls

2 calls:

2.0ms
x
1.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
98.8%2x
98.8%2(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes3.0ms (0%)

Memory
4.7MiB live, 4.7MiB allocated
Accuracy

Total -0.4b remaining (-1.2%)

Threshold costs -0.4b (-1.2%)

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

2 calls:

1.0ms
x
1.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
53.7%1(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
53.7%1x
Compiler

Compiled 14 to 8 computations (42.9% saved)

bsearch13.0ms (0.2%)

Memory
-22.5MiB live, 17.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
0.005993342072913746
305.9197429399394
Samples
6.0ms128×0valid
Compiler

Compiled 135 to 91 computations (32.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (55.1% of total)
ival-sub: 1.0ms (27.6% of total)
ival-add: 1.0ms (27.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify7.0ms (0.1%)

Memory
13.4MiB live, 13.4MiB allocated
Algorithm
egg-herbie
Rules
1-exp_binary64
1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01222
11522
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64)))
(if (<=.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
#s(literal 2 binary64)
Outputs
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64)))
(if (<=.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
#s(literal 2 binary64)

soundness629.0ms (8.3%)

Memory
-8.0MiB live, 381.4MiB allocated
Rules
10 646×accelerator-lowering-fma.f32
10 646×accelerator-lowering-fma.f64
10 498×accelerator-lowering-fma.f32
10 498×accelerator-lowering-fma.f64
10 196×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
080405
1220395
2557373
31746352
45225352
08136343
053689
1167653
2438614
31438606
44349606
08300568
0724
16124
266124
0907722
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 46 to 28 computations (39.1% saved)

preprocess71.0ms (0.9%)

Memory
7.6MiB live, 138.0MiB allocated
Remove

(abs x)

Compiler

Compiled 84 to 48 computations (42.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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