Asymptote A

Time bar (total: 8.9s)

analyze100.0ms (1.1%)

Memory
-61.0MiB live, 3.8MiB allocated
Algorithm
1×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)

sample1.5s (16.5%)

Memory
-126.4MiB live, 1 826.7MiB allocated
Samples
755.0ms3 909×1valid
306.0ms4 347×0valid
Precisions
Click to see histograms. Total time spent on operations: 798.0ms
ival-div: 296.0ms (37.1% of total)
ival-sub: 204.0ms (25.6% of total)
adjust: 168.0ms (21.1% of total)
ival-add: 115.0ms (14.4% of total)
ival-true: 6.0ms (0.8% of total)
exact: 5.0ms (0.6% of total)
ival-assert: 4.0ms (0.5% of total)
Bogosity

preprocess32.0ms (0.4%)

Memory
-3.3MiB live, 72.6MiB allocated
Algorithm
1×egg-herbie
Rules
160×lower-fma.f64
160×lower-fma.f32
96×lower-*.f64
96×lower-*.f32
72×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0927
12125
25222
310622
419022
525822
627322
727522
0711
01211
12011
22711
34011
46111
58611
613111
717411
824311
928011
1030011
1130011
030011
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Outputs
(-.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 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
Symmetry

(abs x)

explain116.0ms (1.3%)

Memory
15.2MiB live, 254.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
720-1(145.51773678953143)(-.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))))cancellation711
Confusion
Predicted +Predicted -
+711
-0184
Precision
1.0
Recall
0.9861111111111112
Confusion?
Predicted +Predicted MaybePredicted -
+7110
-00184
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0185
171
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
45.0ms260×1valid
15.0ms252×0valid
Compiler

Compiled 86 to 32 computations (62.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-sub: 15.0ms (41.1% of total)
ival-div: 12.0ms (32.8% of total)
adjust: 5.0ms (13.7% of total)
ival-add: 4.0ms (10.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶75.7%
(-.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)

simplify16.0ms (0.2%)

Memory
-18.2MiB live, 19.6MiB allocated
Algorithm
1×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×lower-fma.f64
160×lower-fma.f32
96×lower-*.f64
96×lower-*.f32
72×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0729
01229
12029
22729
34029
46129
58629
613129
717429
824329
928029
1030029
1130029
030029
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 x #s(literal 1 binary64))
x
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
Outputs
(-.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 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.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 1 binary64) (+.f64 #s(literal 1 binary64) x))
#s(literal 1 binary64)
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
x
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal 1 binary64))
(+.f64 x #s(literal -1 binary64))

localize38.0ms (0.4%)

Memory
-2.8MiB live, 75.9MiB 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)))
✓accuracy75.8%
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Samples
15.0ms130×1valid
8.0ms126×0valid
Compiler

Compiled 31 to 9 computations (71% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-div: 6.0ms (42.2% of total)
adjust: 3.0ms (21.1% of total)
ival-sub: 3.0ms (21.1% of total)
ival-add: 2.0ms (14.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series2.0ms (0%)

Memory
5.1MiB live, 5.2MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#<alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))>
#<alt (+.f64 x #s(literal 1 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))>
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)

rewrite356.0ms (4%)

Memory
17.5MiB live, 726.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
10 498×lower-fma.f64
10 498×lower-fma.f32
3 964×lower-*.f64
3 964×lower-*.f32
3 924×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0724
01224
16624
264424
0903922
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 702
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
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 x (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))) (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 x (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))))))
(+.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 x (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))) (/.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 x (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))))
(-.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) 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)))
(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 (fma.f64 x x (-.f64 #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 x (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))) (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 x (+.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x))) (*.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))))))
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(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 x 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)))) (+.f64 #s(literal 1 binary64) (fma.f64 x x 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)))) (fma.f64 x x (-.f64 #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)))

simplify275.0ms (3.1%)

Memory
-12.3MiB live, 511.2MiB allocated
Algorithm
1×egg-herbie
Rules
10 646×lower-fma.f64
10 646×lower-fma.f32
3 680×lower-*.f64
3 680×lower-*.f32
1 938×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
080405
1220395
2557373
31746352
45225352
08136343
Stop Event
1×iter limit
1×node limit
Counts
48 → 46
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)

eval92.0ms (1%)

Memory
23.8MiB live, 218.8MiB allocated
Compiler

Compiled 21 637 to 1 996 computations (90.8% saved)

prune155.0ms (1.7%)

Memory
-11.1MiB live, 188.7MiB allocated
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New7417748
Fresh000
Picked101
Done000
Total7427749
Accuracy
99.4%
Counts
749 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶47.5%
(fma.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal 2 binary64))
▶47.4%
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
77.0%
(/.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))
▶77.0%
(/.f64 (+.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
▶52.3%
(/.f64 #s(literal -2 binary64) (*.f64 x x))
51.7%
(*.f64 (/.f64 (+.f64 x (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
▶47.9%
#s(literal 2 binary64)
Compiler

Compiled 156 to 82 computations (47.4% saved)

simplify358.0ms (4%)

Memory
32.7MiB live, 418.4MiB allocated
Algorithm
1×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×lower-fma.f32
12 710×lower-fma.f64
3 266×lower-*.f32
3 262×lower-*.f64
1 912×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01583
02986
16086
213368
329968
445568
589268
6294868
7541968
8664568
9730468
10755868
11769068
12771968
0803266
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.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) x) (+.f64 x #s(literal -1 binary64)))
(-.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(+.f64 x #s(literal -1 binary64))
(fma.f64 x x #s(literal -1 binary64))
#s(literal 2 binary64)
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 x x)
x
(/.f64 #s(literal -2 binary64) (*.f64 x x))
#s(literal -2 binary64)
(*.f64 x x)
x
(fma.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 x (fma.f64 x (*.f64 x x) x))
x
(fma.f64 x (*.f64 x x) x)
(*.f64 x x)
Outputs
(/.f64 (+.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64)))
(+.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64)))
#s(literal -2 binary64)
(-.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(+.f64 x #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) x)
(fma.f64 x x #s(literal -1 binary64))
#s(literal 2 binary64)
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 x (+.f64 x x) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 x x)
x
(/.f64 #s(literal -2 binary64) (*.f64 x x))
#s(literal -2 binary64)
(*.f64 x x)
x
(fma.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal 2 binary64))
(fma.f64 (fma.f64 x (*.f64 x x) x) (+.f64 x x) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 x (fma.f64 x (*.f64 x x) x))
x
(fma.f64 x (*.f64 x x) x)
(*.f64 x x)

localize76.0ms (0.8%)

Memory
-24.6MiB live, 92.3MiB 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))
✓accuracy99.9%
(fma.f64 x (*.f64 x x) x)
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.2%
(/.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))
✓accuracy99.4%
(/.f64 (+.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
✓accuracy51.6%
(+.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64)))
Samples
29.0ms126×1valid
15.0ms130×0valid
Compiler

Compiled 92 to 20 computations (78.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-mult: 10.0ms (32.3% of total)
ival-add: 9.0ms (29% of total)
adjust: 5.0ms (16.1% of total)
ival-div: 4.0ms (12.9% of total)
ival-sub: 2.0ms (6.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
8.3MiB live, 8.3MiB allocated
Counts
10 → 120
Calls
Call 1
Inputs
#<alt (+.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64)))>
#<alt (/.f64 (+.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))>
#<alt (-.f64 #s(literal -1 binary64) x)>
#<alt (+.f64 x #s(literal -1 binary64))>
#<alt (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))>
#<alt (*.f64 x x)>
#<alt (/.f64 #s(literal -2 binary64) (*.f64 x x))>
#<alt (fma.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal 2 binary64))>
#<alt (*.f64 x (fma.f64 x (*.f64 x x) x))>
#<alt (fma.f64 x (*.f64 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)

rewrite290.0ms (3.2%)

Memory
10.4MiB live, 447.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 930×lower-/.f32
4 926×lower-/.f64
4 008×lower-*.f32
4 004×lower-*.f64
3 982×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01564
02961
114861
2128361
0853559
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
10 → 506
Calls
Call 1
Inputs
(+.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64)))
(/.f64 (+.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(-.f64 #s(literal -1 binary64) x)
(+.f64 x #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
(*.f64 x x)
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(fma.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal 2 binary64))
(*.f64 x (fma.f64 x (*.f64 x x) x))
(fma.f64 x (*.f64 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 #s(literal -1 binary64) (+.f64 x (+.f64 #s(literal -1 binary64) x)))) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal -1 binary64) (+.f64 x (+.f64 #s(literal -1 binary64) x)))))
(-.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 (+.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 #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 (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)))))
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(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (fma.f64 x (*.f64 x x) x) (fma.f64 x (*.f64 x x) x))) (fma.f64 (fma.f64 x (*.f64 x x) x) (*.f64 x #s(literal 2 binary64)) #s(literal -2 binary64))) (*.f64 (fma.f64 (fma.f64 x (*.f64 x x) x) (*.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 4 binary64))) (*.f64 (fma.f64 (fma.f64 x (*.f64 x x) x) (*.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)) (fma.f64 (fma.f64 x (*.f64 x x) x) (*.f64 x #s(literal 2 binary64)) #s(literal -2 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 (fma.f64 x (*.f64 x x) x) (*.f64 (fma.f64 x (*.f64 x x) x) (fma.f64 x (*.f64 x x) x))) #s(literal 8 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (fma.f64 x (*.f64 x x) x) (fma.f64 x (*.f64 x x) x)) #s(literal 4 binary64)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (fma.f64 x (*.f64 x x) x) (fma.f64 x (*.f64 x x) x)) #s(literal -4 binary64)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 x (*.f64 x x) x) (*.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (fma.f64 x (*.f64 x x) x) (fma.f64 x (*.f64 x x) x))))) (neg.f64 (-.f64 #s(literal 2 binary64) (*.f64 (fma.f64 x (*.f64 x x) x) (*.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (fma.f64 x (*.f64 x x) x) (fma.f64 x (*.f64 x x) x))) (fma.f64 (fma.f64 x (*.f64 x x) x) (*.f64 x #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 x (*.f64 x x) x) (*.f64 x #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (fma.f64 x (*.f64 x x) x) (fma.f64 x (*.f64 x x) x))) (fma.f64 (fma.f64 x (*.f64 x x) x) (*.f64 x #s(literal 2 binary64)) #s(literal -2 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (fma.f64 x (*.f64 x x) x) (fma.f64 x (*.f64 x x) x))) (fma.f64 (fma.f64 x (*.f64 x x) x) (*.f64 x #s(literal 2 binary64)) #s(literal -2 binary64))) (fma.f64 (/.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 x (*.f64 x x) x) (*.f64 x #s(literal 2 binary64)) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 x (*.f64 x x) x) (*.f64 x #s(literal 2 binary64)) #s(literal -2 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (fma.f64 x (*.f64 x x) x) (fma.f64 x (*.f64 x x) x))) (fma.f64 (fma.f64 x (*.f64 x x) x) (*.f64 x #s(literal 2 binary64)) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 x (*.f64 x x) x) (*.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (*.f64 x x) x) (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64))
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(*.f64 (fma.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (fma.f64 x (*.f64 x x) x) (fma.f64 x (*.f64 x x) x)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (*.f64 x x) x) (*.f64 x #s(literal 2 binary64)) #s(literal -2 binary64))))
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(+.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 x (*.f64 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 (*.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 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 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 x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x x) (*.f64 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 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 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 x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 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 x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 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 x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 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 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (fma.f64 x (-.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 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 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) x) (fma.f64 x (-.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 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 x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x x) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 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 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 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 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) x)) (neg.f64 (fma.f64 x (-.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 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 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (fma.f64 x (*.f64 x (*.f64 x x)) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 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 x) (*.f64 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 x) (*.f64 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 x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 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 x) (*.f64 x (*.f64 x (*.f64 x x)))))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (fma.f64 x (-.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (fma.f64 x x (-.f64 (*.f64 (*.f64 x x) (*.f64 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 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 (*.f64 x x) (*.f64 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 x) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 x (*.f64 x (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 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 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 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 x) (*.f64 x (*.f64 x (*.f64 x x)))))) (neg.f64 (-.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 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 x) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 x (*.f64 x x)) x)) (/.f64 (*.f64 (*.f64 x x) (*.f64 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 x) (*.f64 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 x (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) 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)))

simplify307.0ms (3.4%)

Memory
-36.2MiB live, 379.1MiB allocated
Algorithm
1×egg-herbie
Rules
10 196×lower-fma.f64
10 196×lower-fma.f32
3 414×lower-*.f64
3 414×lower-*.f32
2 158×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053689
1167653
2438614
31438606
44349606
08300568
Stop Event
1×iter limit
1×node limit
Counts
120 → 117
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)

eval80.0ms (0.9%)

Memory
11.8MiB live, 162.8MiB allocated
Compiler

Compiled 17 585 to 1 902 computations (89.2% saved)

prune63.0ms (0.7%)

Memory
20.3MiB live, 142.4MiB allocated
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New6612663
Fresh022
Picked235
Done000
Total6637670
Accuracy
100.0%
Counts
670 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓47.4%
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
▶77.0%
(/.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))
▶52.8%
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
▶99.4%
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64)))
✓52.3%
(/.f64 #s(literal -2 binary64) (*.f64 x x))
▶51.7%
(*.f64 (/.f64 (+.f64 x (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
✓47.9%
#s(literal 2 binary64)
Compiler

Compiled 66 to 37 computations (43.9% saved)

simplify379.0ms (4.2%)

Memory
-6.0MiB live, 465.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 #s(literal 1 binary64) x)
✓cost-diff0
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))
✓cost-diff576
(+.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
✓cost-diff704
(/.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))
✓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)))
✓cost-diff0
(/.f64 (+.f64 x (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)))
✓cost-diff192
(+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))
✓cost-diff384
(+.f64 x (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)))
✓cost-diff1344
(*.f64 (/.f64 (+.f64 x (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
Rules
13 864×lower-fma.f32
13 858×lower-fma.f64
2 990×lower-+.f32
2 986×lower-+.f64
2 778×lower-*.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
021134
039151
180146
218096
359378
4175078
5640378
0824778
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (+.f64 x (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (+.f64 x (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)))
(+.f64 x (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)))
x
(+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))
#s(literal -1 binary64)
(-.f64 #s(literal -1 binary64) x)
(fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))
(*.f64 x x)
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64)))
#s(literal -2 binary64)
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
(/.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
x
(/.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 #s(literal 1 binary64) x) (+.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) x)
#s(literal 1 binary64)
x
(+.f64 #s(literal 1 binary64) x)
Outputs
(*.f64 (/.f64 (+.f64 x (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (+.f64 x (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)))
(/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))
(+.f64 x (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)))
#s(literal -2 binary64)
x
(+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal -2 binary64) x)
#s(literal -1 binary64)
(-.f64 #s(literal -1 binary64) x)
(fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))
(fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))
(*.f64 x x)
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64)))
#s(literal -2 binary64)
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
x
(/.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 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))

localize90.0ms (1%)

Memory
-3.3MiB live, 150.1MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) x)
✓accuracy100.0%
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))
✓accuracy99.9%
(/.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))
✓accuracy51.6%
(+.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))
✓accuracy100.0%
(/.f64 #s(literal -2 binary64) x)
✓accuracy99.7%
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
✓accuracy100.0%
(fma.f64 x x #s(literal -1 binary64))
✓accuracy99.4%
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64)))
✓accuracy99.9%
(/.f64 (+.f64 x (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)))
✓accuracy99.9%
(fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))
✓accuracy62.2%
(*.f64 (/.f64 (+.f64 x (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
✓accuracy51.9%
(+.f64 x (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)))
Samples
38.0ms125×1valid
19.0ms131×0valid
Compiler

Compiled 143 to 24 computations (83.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-add: 12.0ms (29.5% of total)
ival-div: 12.0ms (29.5% of total)
adjust: 6.0ms (14.7% of total)
ival-mult: 6.0ms (14.7% of total)
ival-sub: 4.0ms (9.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
9.6MiB live, 9.6MiB allocated
Counts
14 → 168
Calls
Call 1
Inputs
#<alt (*.f64 (/.f64 (+.f64 x (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))>
#<alt (+.f64 x (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)))>
#<alt (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))>
#<alt (/.f64 (+.f64 x (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)))>
#<alt (/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64)))>
#<alt (fma.f64 x x #s(literal -1 binary64))>
#<alt (/.f64 (/.f64 #s(literal -2 binary64) x) x)>
#<alt (/.f64 #s(literal -2 binary64) x)>
#<alt (/.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))>
#<alt (+.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))>
#<alt (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))>
#<alt (-.f64 #s(literal 1 binary64) x)>
#<alt (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))>
#<alt (+.f64 #s(literal 1 binary64) 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>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt (- (* -1 x) 2)>
#<alt (- (* -1 x) 2)>
#<alt (- (* -1 x) 2)>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1 (* 2 (/ 1 x)))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1 (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1 (* 2 (/ 1 x)))))>
#<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 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)>
#<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>
#<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 x))>
#<alt (+ 2 (* x (- (* 2 x) 2)))>
#<alt (+ 2 (* x (- (* x (+ 2 (* -2 x))) 2)))>
#<alt (/ 2 x)>
#<alt (/ (- 2 (* 2 (/ 1 x))) x)>
#<alt (/ (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))) x)>
#<alt (/ (- (+ 2 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) x)>
#<alt (/ 2 x)>
#<alt (* -1 (/ (- (* 2 (/ 1 x)) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 2) x))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 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>
#<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 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)))>
Calls

42 calls:

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

rewrite331.0ms (3.7%)

Memory
22.5MiB live, 560.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 946×lower-*.f32
4 942×lower-*.f64
4 472×lower-/.f32
4 460×lower-/.f64
3 246×lower-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
021114
039103
120289
2194089
0840789
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
14 → 925
Calls
Call 1
Inputs
(*.f64 (/.f64 (+.f64 x (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(+.f64 x (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)))
(+.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 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)))
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 x x #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
(/.f64 #s(literal -2 binary64) x)
(/.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 #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 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) x)
Outputs
(+.f64 (/.f64 (+.f64 x (-.f64 #s(literal -2 binary64) x)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (/.f64 (*.f64 (+.f64 x (-.f64 #s(literal -2 binary64) x)) (*.f64 x x)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))))
(+.f64 (/.f64 (*.f64 (+.f64 x (-.f64 #s(literal -2 binary64) x)) (*.f64 x x)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (/.f64 (+.f64 x (-.f64 #s(literal -2 binary64) x)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))))
(fma.f64 x (*.f64 x (/.f64 (+.f64 x (-.f64 #s(literal -2 binary64) x)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))) (/.f64 (+.f64 x (-.f64 #s(literal -2 binary64) x)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))))
(fma.f64 (+.f64 x (-.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (/.f64 (*.f64 (+.f64 x (-.f64 #s(literal -2 binary64) x)) (*.f64 x x)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))))
(fma.f64 (+.f64 x (-.f64 #s(literal -2 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (*.f64 x x)) (/.f64 (+.f64 x (-.f64 #s(literal -2 binary64) x)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))))
(fma.f64 (+.f64 x (-.f64 #s(literal -2 binary64) 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 #s(literal -2 binary64) x)) (*.f64 x x)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))))
(fma.f64 (*.f64 x x) (/.f64 (+.f64 x (-.f64 #s(literal -2 binary64) x)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (/.f64 (+.f64 x (-.f64 #s(literal -2 binary64) x)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (+.f64 x (-.f64 #s(literal -2 binary64) x)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (*.f64 x x) (/.f64 (+.f64 x (-.f64 #s(literal -2 binary64) x)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (+.f64 x (-.f64 #s(literal -2 binary64) x)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x (-.f64 #s(literal -2 binary64) x)) (*.f64 x x)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (-.f64 #s(literal -2 binary64) x)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (/.f64 (*.f64 (+.f64 x (-.f64 #s(literal -2 binary64) x)) (*.f64 x x)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))))
(fma.f64 (neg.f64 (+.f64 x (-.f64 #s(literal -2 binary64) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))) (/.f64 (*.f64 (+.f64 x (-.f64 #s(literal -2 binary64) x)) (*.f64 x x)) (fma.f64 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 (-.f64 #s(literal -2 binary64) x)) (/.f64 (*.f64 (+.f64 x (-.f64 #s(literal -2 binary64) x)) (*.f64 x x)) (fma.f64 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))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal -2 binary64) x))) #s(literal -1 binary64)) (/.f64 (*.f64 (+.f64 x (-.f64 #s(literal -2 binary64) x)) (*.f64 x x)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x (-.f64 #s(literal -2 binary64) x))) #s(literal -1 binary64)) (/.f64 (*.f64 (+.f64 x (-.f64 #s(literal -2 binary64) x)) (*.f64 x x)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))))
(fma.f64 (*.f64 (*.f64 x x) (+.f64 x (-.f64 #s(literal -2 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (/.f64 (+.f64 x (-.f64 #s(literal -2 binary64) x)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))))
(fma.f64 (*.f64 #s(literal 1 binary64) (+.f64 x (-.f64 #s(literal -2 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (/.f64 (*.f64 (+.f64 x (-.f64 #s(literal -2 binary64) x)) (*.f64 x x)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))))
(fma.f64 (*.f64 (/.f64 (+.f64 x (-.f64 #s(literal -2 binary64) x)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) x) x (/.f64 (+.f64 x (-.f64 #s(literal -2 binary64) x)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (+.f64 x (-.f64 #s(literal -2 binary64) x)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1 binary64))) (-.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (neg.f64 x))) (/.f64 (*.f64 (+.f64 x (-.f64 #s(literal -2 binary64) x)) (*.f64 x x)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (+.f64 x (-.f64 #s(literal -2 binary64) x)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (/.f64 (*.f64 (+.f64 x (-.f64 #s(literal -2 binary64) x)) (*.f64 x x)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal -2 binary64) x) (*.f64 (-.f64 #s(literal -2 binary64) x) (-.f64 #s(literal -2 binary64) x)) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -2 binary64) x) (-.f64 (-.f64 #s(literal -2 binary64) x) x) (*.f64 x x))) (/.f64 (*.f64 (+.f64 x (-.f64 #s(literal -2 binary64) x)) (*.f64 x x)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (*.f64 (+.f64 x (-.f64 #s(literal -2 binary64) x)) (-.f64 x (-.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x (-.f64 #s(literal -2 binary64) x))) (/.f64 (*.f64 (+.f64 x (-.f64 #s(literal -2 binary64) x)) (*.f64 x x)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (*.f64 (+.f64 x (-.f64 #s(literal -2 binary64) x)) (fma.f64 x x #s(literal 1 binary64)))))
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(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x (-.f64 #s(literal -1 binary64) x)))) (*.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 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 #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 x (-.f64 #s(literal -1 binary64) x)))) (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x (-.f64 #s(literal -2 binary64) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x (-.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (+.f64 x (-.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (-.f64 #s(literal -2 binary64) x)) (-.f64 #s(literal -1 binary64) x)))
(*.f64 (+.f64 x (+.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 x (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
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(*.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (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))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))))
(*.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal 1 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x))))
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(-.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
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(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
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(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x))) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x x))) (*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(pow.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64))
(-.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (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))))
(expm1.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)))
(expm1.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))
(fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 x (*.f64 x x)) x #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (neg.f64 x))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (-.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (neg.f64 x))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x x)) (neg.f64 x)))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (neg.f64 x)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (neg.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 1 binary64)) (fma.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (-.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64))) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (neg.f64 x))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (neg.f64 x)))))
(*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.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))))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(-.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))) (*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (*.f64 x x))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(pow.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal 1 binary64)))

simplify329.0ms (3.7%)

Memory
-6.8MiB live, 553.4MiB allocated
Algorithm
1×egg-herbie
Rules
13 432×lower-fma.f64
13 432×lower-fma.f32
4 068×lower-*.f64
4 068×lower-*.f32
1 938×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01021080
12881063
2752994
32087960
45457960
08096928
Stop Event
1×iter limit
1×node limit
Counts
168 → 166
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
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
(- (* -1 x) 2)
(- (* -1 x) 2)
(- (* -1 x) 2)
(* -1 x)
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(* -1 x)
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
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))
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)
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
2
2
2
2
2
2
2
2
2
2
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -2 x))) 2)))
(/ 2 x)
(/ (- 2 (* 2 (/ 1 x))) x)
(/ (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))) x)
(/ (- (+ 2 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) x)
(/ 2 x)
(* -1 (/ (- (* 2 (/ 1 x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 2) x))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
-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))))
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)))
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 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 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 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x))
-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)
(- (* -1 x) 2)
(-.f64 #s(literal -2 binary64) x)
(- (* -1 x) 2)
(-.f64 #s(literal -2 binary64) x)
(- (* -1 x) 2)
(-.f64 #s(literal -2 binary64) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(-.f64 #s(literal -2 binary64) x)
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(-.f64 #s(literal -2 binary64) x)
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(-.f64 #s(literal -2 binary64) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(-.f64 #s(literal -2 binary64) x)
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(-.f64 #s(literal -2 binary64) x)
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(-.f64 #s(literal -2 binary64) 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 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 2 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 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 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.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 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.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 #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 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 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 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.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)
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 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 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 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x))
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 x))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(+ 2 (* x (- (* 2 x) 2)))
(fma.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #s(literal 2 binary64))
(+ 2 (* x (- (* x (+ 2 (* -2 x))) 2)))
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (- 2 (* 2 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) x)
(/ (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x)
(/ (- (+ 2 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) x))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(* -1 (/ (- (* 2 (/ 1 x)) 2) x))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 2) x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) x))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* 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
#s(literal -1 binary64)
(- (pow x 4) 1)
(fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))
(- (pow x 4) 1)
(fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))
(- (pow x 4) 1)
(fma.f64 x (*.f64 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 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))
(* (pow x 4) (- 1 (/ 1 (pow x 4))))
(fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))
(* (pow x 4) (- 1 (/ 1 (pow x 4))))
(fma.f64 x (*.f64 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 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))
(* (pow x 4) (- 1 (/ 1 (pow x 4))))
(fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))
(* (pow x 4) (- 1 (/ 1 (pow x 4))))
(fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))
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))

eval148.0ms (1.7%)

Memory
48.4MiB live, 311.9MiB allocated
Compiler

Compiled 42 159 to 3 755 computations (91.1% saved)

prune294.0ms (3.3%)

Memory
-16.2MiB live, 275.1MiB allocated
Pruning

9 alts after pruning (4 fresh and 5 done)

PrunedKeptTotal
New1 15641 160
Fresh000
Picked224
Done033
Total1 15891 167
Accuracy
100.0%
Counts
1 167 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓47.4%
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
▶99.9%
(/.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
✓52.8%
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
▶49.7%
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))
✓99.4%
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64)))
✓52.3%
(/.f64 #s(literal -2 binary64) (*.f64 x x))
▶61.7%
(*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
▶14.7%
(*.f64 (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x x #s(literal 1 binary64)))
✓47.9%
#s(literal 2 binary64)
Compiler

Compiled 75 to 49 computations (34.7% saved)

simplify509.0ms (5.7%)

Memory
-13.2MiB live, 500.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 #s(literal 1 binary64) x)
✓cost-diff0
(+.f64 #s(literal 1 binary64) x)
✓cost-diff0
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) x))
✓cost-diff704
(/.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
✓cost-diff0
(-.f64 #s(literal 1 binary64) x)
✓cost-diff0
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))
✓cost-diff0
(/.f64 #s(literal -2 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)))
✓cost-diff1344
(*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
✓cost-diff0
(*.f64 x (*.f64 x x))
✓cost-diff0
(*.f64 x (*.f64 x (*.f64 x x)))
✓cost-diff0
(/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
✓cost-diff128
(*.f64 (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x x #s(literal 1 binary64)))
Rules
17 906×lower-fma.f32
17 902×lower-fma.f64
3 564×lower-*.f32
3 554×lower-*.f64
2 560×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019123
034117
170103
2164103
346193
4124293
5300493
6568793
0826791
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
#s(literal -2 binary64)
(*.f64 x (*.f64 x (*.f64 x x)))
x
(*.f64 x (*.f64 x x))
(*.f64 x x)
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 #s(literal -2 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)))
#s(literal -2 binary64)
(fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))
(*.f64 x x)
x
#s(literal -1 binary64)
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) x))
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(-.f64 #s(literal 1 binary64) x)
Outputs
(*.f64 (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))
(/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
#s(literal -2 binary64)
(*.f64 x (*.f64 x (*.f64 x x)))
x
(*.f64 x (*.f64 x x))
(*.f64 x x)
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 #s(literal -2 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)))
(/.f64 #s(literal -2 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))
#s(literal -2 binary64)
(fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))
(fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))
(*.f64 x x)
x
#s(literal -1 binary64)
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -2 binary64) (+.f64 x #s(literal -1 binary64)))
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))
#s(literal 2 binary64)
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
x
(-.f64 #s(literal 1 binary64) x)

localize69.0ms (0.8%)

Memory
-2.4MiB live, 117.1MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) x)
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) x)
✓accuracy100.0%
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) x))
✓accuracy99.9%
(/.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) x)
✓accuracy100.0%
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.9%
(/.f64 #s(literal -2 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)))
✓accuracy99.9%
(fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))
✓accuracy62.2%
(*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
✓accuracy99.9%
(*.f64 x (*.f64 x (*.f64 x x)))
✓accuracy99.9%
(/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
✓accuracy99.9%
(*.f64 x (*.f64 x x))
✓accuracy62.2%
(*.f64 (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x x #s(literal 1 binary64)))
Samples
40.0ms256×0valid
Compiler

Compiled 132 to 22 computations (83.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 11.0ms (44.8% of total)
ival-div: 8.0ms (32.6% of total)
ival-add: 3.0ms (12.2% of total)
ival-sub: 1.0ms (4.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
9.4MiB live, 9.4MiB allocated
Counts
13 → 156
Calls
Call 1
Inputs
#<alt (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x x #s(literal 1 binary64)))>
#<alt (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))>
#<alt (*.f64 x (*.f64 x (*.f64 x x)))>
#<alt (*.f64 x (*.f64 x x))>
#<alt (*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))>
#<alt (/.f64 #s(literal -2 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)))>
#<alt (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))>
#<alt (*.f64 x x)>
#<alt (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))>
#<alt (-.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))>
#<alt (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 #s(literal 1 binary64) x)>
Outputs
#<alt (/ -2 (pow x 4))>
#<alt (/ (- (* -2 (pow x 2)) 2) (pow x 4))>
#<alt (/ (- (* -2 (pow x 2)) 2) (pow x 4))>
#<alt (/ (- (* -2 (pow x 2)) 2) (pow x 4))>
#<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)))>
#<alt (* -1 (/ (+ 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)))>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))>
#<alt (/ -2 (pow x 4))>
#<alt (/ -2 (pow x 4))>
#<alt (/ -2 (pow x 4))>
#<alt (/ -2 (pow x 4))>
#<alt (/ -2 (pow x 4))>
#<alt (/ -2 (pow x 4))>
#<alt (/ -2 (pow x 4))>
#<alt (/ -2 (pow x 4))>
#<alt (/ -2 (pow x 4))>
#<alt (/ -2 (pow x 4))>
#<alt (/ -2 (pow x 4))>
#<alt (/ -2 (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 4)>
#<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 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 (* 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 (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>
#<alt (+ 2 (* 2 x))>
#<alt (+ 2 (* x (+ 2 (* 2 x))))>
#<alt (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))>
#<alt (/ -2 x)>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)>
#<alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) x)>
#<alt (/ -2 x)>
#<alt (* -1 (/ (+ 2 (* 2 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) x))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 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 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 (* -2 x))>
#<alt (+ 2 (* x (- (* 2 x) 2)))>
#<alt (+ 2 (* x (- (* x (+ 2 (* -2 x))) 2)))>
#<alt (/ 2 x)>
#<alt (/ (- 2 (* 2 (/ 1 x))) x)>
#<alt (/ (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))) x)>
#<alt (/ (- (+ 2 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) x)>
#<alt (/ 2 x)>
#<alt (* -1 (/ (- (* 2 (/ 1 x)) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 2) 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)))>
Calls

39 calls:

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

rewrite665.0ms (7.5%)

Memory
19.6MiB live, 726.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
10 456×lower-fma.f32
10 452×lower-fma.f64
4 978×lower-*.f32
4 968×lower-*.f64
4 378×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01996
03490
114276
2108865
0912463
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
13 → 2 041
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(*.f64 x (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 x x))
(*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 #s(literal -2 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)))
(fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))
(*.f64 x x)
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(/.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
Outputs
(+.f64 (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(+.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(-.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal -1 binary64))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/2 binary64)))))
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(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.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)) x)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 x (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (+.f64 x (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))

simplify410.0ms (4.6%)

Memory
3.2MiB live, 637.1MiB allocated
Algorithm
1×egg-herbie
Rules
14 642×lower-fma.f64
14 642×lower-fma.f32
3 766×lower-*.f64
3 766×lower-*.f32
1 824×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01201097
13461070
28791026
324671000
466511000
08097956
Stop Event
1×iter limit
1×node limit
Counts
156 → 154
Calls
Call 1
Inputs
(/ -2 (pow x 4))
(/ (- (* -2 (pow x 2)) 2) (pow x 4))
(/ (- (* -2 (pow x 2)) 2) (pow x 4))
(/ (- (* -2 (pow x 2)) 2) (pow x 4))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 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 2)))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ -2 (pow x 4))
(/ -2 (pow x 4))
(/ -2 (pow x 4))
(/ -2 (pow x 4))
(/ -2 (pow x 4))
(/ -2 (pow x 4))
(/ -2 (pow x 4))
(/ -2 (pow x 4))
(/ -2 (pow x 4))
(/ -2 (pow x 4))
(/ -2 (pow x 4))
(/ -2 (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 4)
(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)
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 (* 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))))
(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
(+ 2 (* 2 x))
(+ 2 (* x (+ 2 (* 2 x))))
(+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(/ -2 x)
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) x)
(/ -2 x)
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x))
(* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x))
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) x))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
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 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -2 x))) 2)))
(/ 2 x)
(/ (- 2 (* 2 (/ 1 x))) x)
(/ (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))) x)
(/ (- (+ 2 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) x)
(/ 2 x)
(* -1 (/ (- (* 2 (/ 1 x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 2) 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)))
Outputs
(/ -2 (pow x 4))
(/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (* -2 (pow x 2)) 2) (pow x 4))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (* -2 (pow x 2)) 2) (pow x 4))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (* -2 (pow x 2)) 2) (pow x 4))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.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)))
(/.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)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.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)))
(/.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)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x))
(/ -2 (pow x 4))
(/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/ -2 (pow x 4))
(/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/ -2 (pow x 4))
(/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/ -2 (pow x 4))
(/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/ -2 (pow x 4))
(/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/ -2 (pow x 4))
(/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/ -2 (pow x 4))
(/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/ -2 (pow x 4))
(/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/ -2 (pow x 4))
(/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/ -2 (pow x 4))
(/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/ -2 (pow x 4))
(/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/ -2 (pow x 4))
(/.f64 #s(literal -2 binary64) (*.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 4)
(*.f64 x (*.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 3)
(*.f64 x (*.f64 x x))
2
#s(literal 2 binary64)
(+ 2 (* 2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(fma.f64 (*.f64 x #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 (*.f64 x #s(literal 2 binary64)) #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 (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (*.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 (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (*.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 (* 2 (pow x 4)))
(fma.f64 x (*.f64 #s(literal 2 binary64) (*.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 x (*.f64 #s(literal 2 binary64) (*.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 x (*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x x))) #s(literal 2 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 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 (*.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))))
(* -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 (*.f64 x (*.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 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))
(- (pow x 4) 1)
(fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))
(- (pow x 4) 1)
(fma.f64 x (*.f64 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 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))
(* (pow x 4) (- 1 (/ 1 (pow x 4))))
(fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))
(* (pow x 4) (- 1 (/ 1 (pow x 4))))
(fma.f64 x (*.f64 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 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))
(* (pow x 4) (- 1 (/ 1 (pow x 4))))
(fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))
(* (pow x 4) (- 1 (/ 1 (pow x 4))))
(fma.f64 x (*.f64 x (*.f64 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)
2
#s(literal 2 binary64)
(+ 2 (* 2 x))
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
(+ 2 (* x (+ 2 (* 2 x))))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x)) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) x)
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x)) x)
(* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x)
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) x))
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* 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)
2
#s(literal 2 binary64)
(+ 2 (* 2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(fma.f64 (*.f64 x #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 (*.f64 x #s(literal 2 binary64)) #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 (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (*.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 (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (*.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 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
(+ 2 (* x (- (* 2 x) 2)))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64))
(+ 2 (* x (- (* x (+ 2 (* -2 x))) 2)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (- 2 (* 2 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) x)
(/ (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x)
(/ (- (+ 2 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) x)) x)) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(* -1 (/ (- (* 2 (/ 1 x)) 2) x))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 2) x))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) x)) 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))

eval331.0ms (3.7%)

Memory
7.7MiB live, 651.4MiB allocated
Compiler

Compiled 65 935 to 3 992 computations (93.9% saved)

prune315.0ms (3.5%)

Memory
2.7MiB live, 643.0MiB allocated
Pruning

11 alts after pruning (5 fresh and 6 done)

PrunedKeptTotal
New2 32352 328
Fresh000
Picked314
Done055
Total2 326112 337
Accuracy
100.0%
Counts
2 337 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.2%
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
✓47.4%
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
✓99.9%
(/.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
✓52.8%
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
✓99.4%
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64)))
✓52.3%
(/.f64 #s(literal -2 binary64) (*.f64 x x))
4.1%
(/.f64 #s(literal -2 binary64) x)
21.9%
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 (/.f64 #s(literal -2 binary64) x) (pow.f64 x #s(literal 3/2 binary64))))
64.3%
(*.f64 (/.f64 #s(literal 2 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) (+.f64 x #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
14.7%
(*.f64 (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))
✓47.9%
#s(literal 2 binary64)
Compiler

Compiled 308 to 124 computations (59.7% saved)

regimes30.0ms (0.3%)

Memory
-15.6MiB live, 23.2MiB allocated
Counts
19 → 1
Calls
Call 1
Inputs
#s(literal 2 binary64)
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
(/.f64 #s(literal -2 binary64) x)
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))
(/.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 2 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
(-.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 #s(literal -2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 x 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 #s(literal -2 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 x (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 2 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) (+.f64 x #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 (/.f64 #s(literal -2 binary64) x) (pow.f64 x #s(literal 3/2 binary64))))
Outputs
(/.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
Calls

2 calls:

23.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
6.0ms
x
Results
AccuracySegmentsBranch
99.9%1x
99.9%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)

regimes7.0ms (0.1%)

Memory
15.0MiB live, 15.0MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
#s(literal 2 binary64)
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
(/.f64 #s(literal -2 binary64) x)
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))
(/.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)))
Outputs
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64)))
Calls

2 calls:

4.0ms
x
3.0ms
(-.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
99.4%1x
99.4%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)

regimes12.0ms (0.1%)

Memory
-27.4MiB live, 11.3MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(literal 2 binary64)
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
(/.f64 #s(literal -2 binary64) x)
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
Outputs
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
Calls

2 calls:

10.0ms
x
2.0ms
(-.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
98.5%2x
98.5%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)

regimes5.0ms (0.1%)

Memory
10.1MiB live, 10.1MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(literal 2 binary64)
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
(/.f64 #s(literal -2 binary64) x)
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))
Outputs
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))
Calls

2 calls:

2.0ms
x
2.0ms
(-.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
49.7%1x
49.7%1(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes4.0ms (0%)

Memory
10.7MiB live, 10.7MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(literal 2 binary64)
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
(/.f64 #s(literal -2 binary64) x)
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
Outputs
(/.f64 #s(literal -2 binary64) x)
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
Calls

2 calls:

2.0ms
x
2.0ms
(-.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
50.2%2x
50.2%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)

regimes4.0ms (0%)

Memory
9.2MiB live, 9.2MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(literal 2 binary64)
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
(/.f64 #s(literal -2 binary64) x)
Outputs
(/.f64 #s(literal -2 binary64) x)
#s(literal 2 binary64)
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
50.1%2x
50.1%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)

regimes4.0ms (0%)

Memory
-28.1MiB live, 9.5MiB allocated
Accuracy

Total -0.5b remaining (-1.4%)

Threshold costs -0.5b (-1.4%)

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

2 calls:

3.0ms
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
47.9%1x
47.9%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)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
2.0
Compiler

Compiled 15 to 11 computations (26.7% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
2.0
Compiler

Compiled 15 to 11 computations (26.7% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
2.0
Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify8.0ms (0.1%)

Memory
22.5MiB live, 22.5MiB allocated
Algorithm
1×egg-herbie
Rules
18×+-commutative_binary64
16×sub-neg_binary64
10×neg-sub0_binary64
10×neg-mul-1_binary64
8×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02687
13587
24787
36487
47287
57487
67587
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64)))
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 x x)) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) (/.f64 #s(literal -2 binary64) x) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)))
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(/.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64)))
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 x x)) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)))
(if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64)))) #s(literal 0 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 x x)) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) (/.f64 #s(literal -2 binary64) x) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)))
(if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64)))) #s(literal 0 binary64)) (/.f64 #s(literal -2 binary64) x) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64)))
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))
(if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64)))) #s(literal 0 binary64)) (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))
#s(literal 2 binary64)

soundness1.1s (11.9%)

Memory
-15.5MiB live, 746.4MiB allocated
Rules
14 642×lower-fma.f64
14 642×lower-fma.f32
13 432×lower-fma.f64
13 432×lower-fma.f32
10 646×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01201097
13461070
28791026
324671000
466511000
08097956
01021080
12881063
2752994
32087960
45457960
08096928
080405
1220395
2557373
31746352
45225352
08136343
053689
1167653
2438614
31438606
44349606
08300568
0724
01224
16624
264424
0903922
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 160 to 79 computations (50.6% saved)

preprocess70.0ms (0.8%)

Memory
14.3MiB live, 87.6MiB allocated
Remove

(abs x)

Compiler

Compiled 220 to 78 computations (64.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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