2frac (problem 3.3.1)

Time bar (total: 7.9s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze2.0ms (0%)

Memory
9.8MiB live, 9.8MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
50%50%50%0%0%0%0%2
75%75%25%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 11 to 8 computations (27.3% saved)

sample1.3s (16.3%)

Memory
-16.8MiB live, 1 698.0MiB allocated
Samples
674.0ms3 877×1valid
256.0ms4 379×0valid
Precisions
Click to see histograms. Total time spent on operations: 759.0ms
ival-div: 271.0ms (35.7% of total)
ival-sub: 217.0ms (28.6% of total)
adjust: 151.0ms (19.9% of total)
ival-add: 106.0ms (14% of total)
ival-true: 6.0ms (0.8% of total)
exact: 5.0ms (0.7% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain146.0ms (1.8%)

Memory
4.9MiB live, 142.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
660-0-(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
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) x)
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) x))cancellation660
Confusion
Predicted +Predicted -
+660
-0190
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+6600
-00190
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0190
166
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
30.0ms250×1valid
12.0ms262×0valid
Compiler

Compiled 58 to 22 computations (62.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-div: 10.0ms (44.5% of total)
adjust: 4.0ms (17.8% of total)
ival-add: 4.0ms (17.8% of total)
ival-sub: 3.0ms (13.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess51.0ms (0.6%)

Memory
-22.3MiB live, 26.9MiB allocated
Algorithm
egg-herbie
Rules
128×lower-fma.f64
128×lower-fma.f32
80×lower-*.f64
80×lower-*.f32
56×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0823
12019
25318
310818
416918
521218
622618
069
0109
1159
2239
3329
4449
5649
61059
71479
82139
92479
102569
02569
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
Outputs
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #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) x))
Compiler

Compiled 10 to 6 computations (40% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.8%
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
Compiler

Compiled 10 to 6 computations (40% saved)

simplify11.0ms (0.1%)

Memory
5.0MiB live, 5.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) x)
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) x))
Rules
128×lower-fma.f64
128×lower-fma.f32
80×lower-*.f64
80×lower-*.f32
56×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0622
01022
11522
22322
33222
44422
56422
610522
714722
821322
924722
1025622
025622
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
(/.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) x)
Outputs
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #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) 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) x)

localize26.0ms (0.3%)

Memory
31.0MiB live, 31.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 #s(literal 1 binary64) x)
accuracy0
(+.f64 x #s(literal 1 binary64))
accuracy0.01171875
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
accuracy14.143164754886657
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
Samples
12.0ms125×1valid
6.0ms131×0valid
Compiler

Compiled 24 to 8 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-div: 5.0ms (45.4% of total)
adjust: 2.0ms (18.2% of total)
ival-add: 2.0ms (18.2% of total)
ival-sub: 2.0ms (18.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series3.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
Outputs
#s(alt (/ -1 x) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- x 1) x) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x (+ 1 (* -1 x))) 1) x) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x (+ 1 (* x (- x 1)))) 1) x) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (pow x 2)) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (/ 1 x) 1) (pow x 2)) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (pow x 2)) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (/ 1 x) 1) (pow x 2)) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2)) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (- x 1))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (/ 1 x)) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (/ 1 x) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
Calls

12 calls:

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

simplify254.0ms (3.2%)

Memory
8.9MiB live, 427.3MiB allocated
Algorithm
egg-herbie
Rules
11 170×lower-fma.f64
11 170×lower-fma.f32
2 500×lower-*.f64
2 500×lower-*.f32
1 944×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053305
1150286
2351274
31017268
43170263
55268262
66646262
77448262
87950262
08009260
Stop Event
iter limit
node limit
Counts
48 → 46
Calls
Call 1
Inputs
(/ -1 x)
(/ (- x 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (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 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
Outputs
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- x 1) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x)))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x)))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) (*.f64 x x))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x)))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) 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) x) (*.f64 x x))
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (/ 1 x) 1) x))
(/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 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 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)

rewrite261.0ms (3.3%)

Memory
-40.2MiB live, 351.8MiB allocated
Rules
2 900×lower-fma.f64
2 900×lower-fma.f32
1 990×lower-*.f64
1 990×lower-*.f32
1 480×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0620
01020
15920
255120
3602220
0942818
Stop Event
iter limit
node limit
iter limit
Counts
4 → 325
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x x x) (+.f64 x (+.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.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 (/.f64 x (fma.f64 x x x)) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x x)) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))))) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x x)) x)) (*.f64 x (*.f64 x x))))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (fma.f64 x x x) (+.f64 x (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (fma.f64 x x x) (+.f64 x (+.f64 #s(literal 1 binary64) x))))))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.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 0 binary64) (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x x)))
(-.f64 (/.f64 x (fma.f64 x x x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x x)) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x x)) x)) (*.f64 x (*.f64 x x)))))
(-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (fma.f64 x x x) (+.f64 x (+.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (fma.f64 x x x) (+.f64 x (+.f64 #s(literal 1 binary64) x)))))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 0 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) x))
(fma.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 x (fma.f64 x x x)) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x x)) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))))) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x x)) x)) (*.f64 x (*.f64 x x))))))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (fma.f64 x x x) (+.f64 x (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (fma.f64 x x x) (+.f64 x (+.f64 #s(literal 1 binary64) x))))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x x)) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #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) 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) x)) (fma.f64 x x x))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (fma.f64 x x x) (+.f64 x (+.f64 #s(literal 1 binary64) x))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 x x) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x x)) x))) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x x)) x)) (*.f64 x (*.f64 x x))))))
(fma.f64 (/.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) x) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (+.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x x)) x))) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x x)) x)) (*.f64 x (*.f64 x x))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (fma.f64 x x x) (+.f64 x (+.f64 #s(literal 1 binary64) x))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (fma.f64 x x x) (+.f64 x (+.f64 #s(literal 1 binary64) x))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x x)) x))) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x x)) x)) (*.f64 x (*.f64 x x))))))
(fma.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64)) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -3/2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x x)) x))) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x x)) x)) (*.f64 x (*.f64 x x))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x 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 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x x))))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 (+.f64 x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x x)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (fma.f64 x x x) (+.f64 x (+.f64 #s(literal 1 binary64) x))))))
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(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(pow.f64 x #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))

eval45.0ms (0.6%)

Memory
-0.4MiB live, 139.7MiB allocated
Compiler

Compiled 8 663 to 912 computations (89.5% saved)

prune75.0ms (0.9%)

Memory
17.0MiB live, 193.4MiB allocated
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New3629371
Fresh000
Picked011
Done000
Total36210372
Accuracy
99.0%
Counts
372 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.6%
(-.f64 (/.f64 (fma.f64 x 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) x))
77.8%
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
47.4%
(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
47.7%
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
44.4%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))))
54.0%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) (*.f64 x x)))
53.5%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
49.3%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
44.5%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x)))))
47.1%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x))))
Compiler

Compiled 214 to 112 computations (47.7% saved)

simplify306.0ms (3.9%)

Memory
18.9MiB live, 395.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))
cost-diff0
(fma.f64 x x #s(literal 1 binary64))
cost-diff0
(-.f64 (/.f64 (fma.f64 x 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) x))
cost-diff1088
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))))
cost-diff0
(+.f64 x (/.f64 #s(literal 1 binary64) x))
cost-diff0
(+.f64 #s(literal -1 binary64) x)
cost-diff0
(*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x)))
cost-diff0
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x))))
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 #s(literal -1 binary64) (*.f64 x x))
cost-diff0
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
cost-diff0
(/.f64 #s(literal -1 binary64) x)
cost-diff0
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
cost-diff0
(/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))
cost-diff0
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x)))
cost-diff0
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) (*.f64 x x))
cost-diff0
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) (*.f64 x x)))
Rules
15 480×lower-fma.f32
15 478×lower-fma.f64
2 920×lower-*.f32
2 914×lower-*.f64
2 394×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
026195
041187
172187
2143179
3264179
4587179
51756179
65115179
08362179
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) (*.f64 x x)))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) (*.f64 x x))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x)))
#s(literal -1 binary64)
(/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))
(+.f64 #s(literal -1 binary64) x)
x
(*.f64 x x)
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
#s(literal -1 binary64)
(*.f64 x x)
x
#s(approx (- (/ 1 (+ x 1)) (/ 1 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 (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(+.f64 x (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(-.f64 (/.f64 (fma.f64 x 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) x))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 x x #s(literal 1 binary64))
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) x)
(/.f64 #s(literal 1 binary64) x)
Outputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) (*.f64 x x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))) (*.f64 x x)))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) (*.f64 x x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))) (*.f64 x x))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x)))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x)))
#s(literal -1 binary64)
(/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))
(/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))
(+.f64 #s(literal -1 binary64) x)
(+.f64 x #s(literal -1 binary64))
x
(*.f64 x x)
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
#s(literal -1 binary64)
(*.f64 x x)
x
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) x))))
(*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x)))
(*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal -1 binary64) x)
(+.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
x
(+.f64 x (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(-.f64 (/.f64 (fma.f64 x 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) x))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (fma.f64 x 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 #s(literal 1 binary64) x))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)

localize111.0ms (1.4%)

Memory
9.7MiB live, 274.6MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 #s(literal 1 binary64) x)
accuracy0.04296875
(*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))
accuracy14.143164754886657
(-.f64 (/.f64 (fma.f64 x 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) x))
accuracy24.245807540356747
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))))
accuracy0
(+.f64 x (/.f64 #s(literal 1 binary64) x))
accuracy0
(+.f64 #s(literal -1 binary64) x)
accuracy0.00390625
(*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x)))
accuracy33.88768024942072
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x))))
accuracy0
(*.f64 x x)
accuracy0.6989562128071984
(/.f64 #s(literal -1 binary64) (*.f64 x x))
accuracy29.126561980066658
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
accuracy0
(/.f64 #s(literal -1 binary64) x)
accuracy32.454935091346215
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
accuracy0
(*.f64 x x)
accuracy0.6677062128071984
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) (*.f64 x x))
accuracy17.77271959002191
(/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))
accuracy28.827723242266767
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) (*.f64 x x)))
Samples
44.0ms125×1valid
27.0ms131×0valid
Compiler

Compiled 169 to 23 computations (86.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-add: 21.0ms (39.3% of total)
ival-div: 16.0ms (30% of total)
adjust: 6.0ms (11.2% of total)
ival-mult: 6.0ms (11.2% of total)
ival-sub: 3.0ms (5.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
37.0MiB live, 37.0MiB allocated
Counts
18 → 216
Calls
Call 1
Inputs
#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) (*.f64 x x))) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) (*.f64 x x))) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) (*.f64 x x)) (patch (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) (patch (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x)) (patch (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x)) #<representation binary64>) () ())
#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())
#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (*.f64 x x)) (patch (/.f64 #s(literal -1 binary64) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x)))) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x)))) #<representation binary64>) () ())
#s(alt (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x))) (patch (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal -1 binary64) x) (patch (+.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())
#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) x)) (patch (+.f64 x (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))) (patch (/.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 (fma.f64 x 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) x)) (patch (-.f64 (/.f64 (fma.f64 x 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) x)) #<representation binary64>) () ())
#s(alt (fma.f64 x x #s(literal 1 binary64)) (patch (fma.f64 x x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) (patch (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
Outputs
#s(alt (/ -1 x) (taylor 0 x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) (*.f64 x x))) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (- x 1) x) (taylor 0 x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) (*.f64 x x))) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x (+ 1 (* -1 x))) 1) x) (taylor 0 x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) (*.f64 x x))) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x (+ 1 (* x (- x 1)))) 1) x) (taylor 0 x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) (*.f64 x x))) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (pow x 2)) (taylor inf x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) (*.f64 x x))) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) (*.f64 x x))) #<representation binary64>) () ())) ())
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#s(alt (/ (- 1 (/ 1 x)) x) (taylor inf x) (#s(alt (/.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))) (patch (/.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x) (taylor inf x) (#s(alt (/.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))) (patch (/.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x) (taylor inf x) (#s(alt (/.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))) (patch (/.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))) (patch (/.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (/ 1 x) 1) x)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))) (patch (/.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))) (patch (/.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))) (patch (/.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor 0 x) (#s(alt (-.f64 (/.f64 (fma.f64 x 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) x)) (patch (-.f64 (/.f64 (fma.f64 x 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) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- x 1) x) (taylor 0 x) (#s(alt (-.f64 (/.f64 (fma.f64 x 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) x)) (patch (-.f64 (/.f64 (fma.f64 x 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) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x (+ 1 (* -1 x))) 1) x) (taylor 0 x) (#s(alt (-.f64 (/.f64 (fma.f64 x 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) x)) (patch (-.f64 (/.f64 (fma.f64 x 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) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x (+ 1 (* x (- x 1)))) 1) x) (taylor 0 x) (#s(alt (-.f64 (/.f64 (fma.f64 x 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) x)) (patch (-.f64 (/.f64 (fma.f64 x 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) x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (pow x 2)) (taylor inf x) (#s(alt (-.f64 (/.f64 (fma.f64 x 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) x)) (patch (-.f64 (/.f64 (fma.f64 x 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) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (/ 1 x) 1) (pow x 2)) (taylor inf x) (#s(alt (-.f64 (/.f64 (fma.f64 x 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) x)) (patch (-.f64 (/.f64 (fma.f64 x 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) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) (taylor inf x) (#s(alt (-.f64 (/.f64 (fma.f64 x 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) x)) (patch (-.f64 (/.f64 (fma.f64 x 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) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) (taylor inf x) (#s(alt (-.f64 (/.f64 (fma.f64 x 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) x)) (patch (-.f64 (/.f64 (fma.f64 x 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) x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (pow x 2)) (taylor -inf x) (#s(alt (-.f64 (/.f64 (fma.f64 x 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) x)) (patch (-.f64 (/.f64 (fma.f64 x 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) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (/ 1 x) 1) (pow x 2)) (taylor -inf x) (#s(alt (-.f64 (/.f64 (fma.f64 x 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) x)) (patch (-.f64 (/.f64 (fma.f64 x 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) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) (taylor -inf x) (#s(alt (-.f64 (/.f64 (fma.f64 x 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) x)) (patch (-.f64 (/.f64 (fma.f64 x 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) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2)) (taylor -inf x) (#s(alt (-.f64 (/.f64 (fma.f64 x 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) x)) (patch (-.f64 (/.f64 (fma.f64 x 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) x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (fma.f64 x x #s(literal 1 binary64)) (patch (fma.f64 x x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow x 2)) (taylor 0 x) (#s(alt (fma.f64 x x #s(literal 1 binary64)) (patch (fma.f64 x x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow x 2)) (taylor 0 x) (#s(alt (fma.f64 x x #s(literal 1 binary64)) (patch (fma.f64 x x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (pow x 2)) (taylor 0 x) (#s(alt (fma.f64 x x #s(literal 1 binary64)) (patch (fma.f64 x x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (fma.f64 x x #s(literal 1 binary64)) (patch (fma.f64 x x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (fma.f64 x x #s(literal 1 binary64)) (patch (fma.f64 x x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (fma.f64 x x #s(literal 1 binary64)) (patch (fma.f64 x x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (fma.f64 x x #s(literal 1 binary64)) (patch (fma.f64 x x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal 1 binary64)) (patch (fma.f64 x x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal 1 binary64)) (patch (fma.f64 x x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal 1 binary64)) (patch (fma.f64 x x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal 1 binary64)) (patch (fma.f64 x x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) (patch (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) (patch (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1 x))) (taylor 0 x) (#s(alt (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) (patch (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (+ 1 (* x (+ 1 x))))) (taylor 0 x) (#s(alt (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) (patch (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) (patch (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) (patch (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) (patch (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3)))))) (taylor inf x) (#s(alt (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) (patch (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) (patch (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) (patch (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1))) (taylor -inf x) (#s(alt (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) (patch (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1))) (taylor -inf x) (#s(alt (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) (patch (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
Calls

54 calls:

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

simplify304.0ms (3.8%)

Memory
-45.2MiB live, 456.5MiB allocated
Algorithm
egg-herbie
Rules
18 178×lower-fma.f64
18 178×lower-fma.f32
3 426×lower-*.f64
3 426×lower-*.f32
2 288×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0991592
13001502
28881382
335951304
082591255
Stop Event
iter limit
node limit
Counts
216 → 210
Calls
Call 1
Inputs
(/ -1 x)
(/ (- x 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(/ -1 (pow x 4))
(/ (- x 1) (pow x 4))
(/ (- (* x (+ 1 (* -1 x))) 1) (pow x 4))
(/ (- (* x (+ 1 (* -1 x))) 1) (pow x 4))
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/ -1 (pow x 2))
(/ (- x 1) (pow x 2))
(/ (- (* x (+ 1 (* -1 x))) 1) (pow x 2))
(/ (- (* x (+ 1 (* -1 x))) 1) (pow x 2))
-1
(- (/ 1 x) 1)
(- (/ 1 x) (+ 1 (/ 1 (pow x 2))))
(- (/ 1 x) (+ 1 (/ 1 (pow x 2))))
-1
(- (/ 1 x) 1)
(- (* -1 (/ (- (/ 1 x) 1) x)) 1)
(- (* -1 (/ (- (/ 1 x) 1) x)) 1)
(/ -1 (pow x 2))
(/ (- x 1) (pow x 2))
(/ (- x 1) (pow x 2))
(/ (- x 1) (pow x 2))
(/ 1 x)
(/ (- 1 (/ 1 x)) x)
(/ (- 1 (/ 1 x)) x)
(/ (- 1 (/ 1 x)) x)
(/ 1 x)
(* -1 (/ (- (/ 1 x) 1) x))
(* -1 (/ (- (/ 1 x) 1) x))
(* -1 (/ (- (/ 1 x) 1) x))
(/ -1 x)
(/ (- x 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ (- x 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 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)
(/ -1 x)
(/ (- x 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(/ -1 x)
(/ (- x 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) 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)))
(/ 1 x)
(/ (+ 1 (pow x 2)) x)
(/ (+ 1 (pow x 2)) x)
(/ (+ 1 (pow x 2)) x)
x
(* x (+ 1 (/ 1 (pow x 2))))
(* x (+ 1 (/ 1 (pow x 2))))
(* x (+ 1 (/ 1 (pow x 2))))
x
(* x (+ 1 (/ 1 (pow x 2))))
(* x (+ 1 (/ 1 (pow x 2))))
(* x (+ 1 (/ 1 (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 x)
(/ (- x 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
1
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(+ 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))))
(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))))
1
(+ 1 x)
(+ 1 (* x (+ 1 x)))
(+ 1 (* x (+ 1 (* x (+ 1 x)))))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 x)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)))
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
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- x 1) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(-.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal -1 binary64) x)))
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(fma.f64 x x (-.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal -1 binary64) x))))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x)))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x)) (*.f64 x (*.f64 x x)))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x)))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x)) (*.f64 x (*.f64 x x)))
(/ -1 (pow x 4))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))
(/ (- x 1) (pow x 4))
(/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 x x) (*.f64 x x)))
(/ (- (* x (+ 1 (* -1 x))) 1) (pow x 4))
(/.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))
(/ (- (* x (+ 1 (* -1 x))) 1) (pow x 4))
(/.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x)))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x)))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- x 1) (pow x 2))
(/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))
(/ (- (* x (+ 1 (* -1 x))) 1) (pow x 2))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x)))
(/ (- (* x (+ 1 (* -1 x))) 1) (pow x 2))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x)))
-1
#s(literal -1 binary64)
(- (/ 1 x) 1)
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(- (/ 1 x) (+ 1 (/ 1 (pow x 2))))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x)))
(- (/ 1 x) (+ 1 (/ 1 (pow x 2))))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x)))
-1
#s(literal -1 binary64)
(- (/ 1 x) 1)
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(- (* -1 (/ (- (/ 1 x) 1) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x)))
(- (* -1 (/ (- (/ 1 x) 1) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x)))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- x 1) (pow x 2))
(/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))
(/ (- x 1) (pow x 2))
(/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))
(/ (- x 1) (pow x 2))
(/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (/ 1 x)) x)
(/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))
(/ (- 1 (/ 1 x)) x)
(/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))
(/ (- 1 (/ 1 x)) x)
(/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (/ 1 x) 1) x))
(/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))
(* -1 (/ (- (/ 1 x) 1) x))
(/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))
(* -1 (/ (- (/ 1 x) 1) x))
(/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- x 1) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(-.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal -1 binary64) x)))
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(fma.f64 x x (-.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal -1 binary64) x))))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x)))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x)) (*.f64 x (*.f64 x x)))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x)))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x)) (*.f64 x (*.f64 x x)))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- x 1) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(-.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal -1 binary64) x)))
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(fma.f64 x x (-.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal -1 binary64) x))))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x)))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x)) (*.f64 x (*.f64 x x)))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x)))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x)) (*.f64 x (*.f64 x x)))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.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)
(pow x 2)
(*.f64 x x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- x 1) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(-.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal -1 binary64) x)))
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(fma.f64 x x (-.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal -1 binary64) x))))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x)))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x)) (*.f64 x (*.f64 x x)))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x)))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x)) (*.f64 x (*.f64 x x)))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- x 1) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(-.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal -1 binary64) x)))
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(fma.f64 x x (-.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal -1 binary64) x))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 x)))
(fma.f64 x x (neg.f64 x))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))
(-.f64 (fma.f64 x x #s(literal 1 binary64)) x)
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))))
(fma.f64 x x (-.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal -1 binary64) x))))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 x)))
(fma.f64 x x (neg.f64 x))
(* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))
(-.f64 (fma.f64 x x #s(literal 1 binary64)) x)
(* (pow x 2) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))))
(fma.f64 x x (-.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal -1 binary64) x))))
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 #s(literal -1 binary64) x)
(- x 1)
(+.f64 #s(literal -1 binary64) x)
(- x 1)
(+.f64 #s(literal -1 binary64) x)
x
(* x (- 1 (/ 1 x)))
(+.f64 #s(literal -1 binary64) x)
(* x (- 1 (/ 1 x)))
(+.f64 #s(literal -1 binary64) x)
(* x (- 1 (/ 1 x)))
(+.f64 #s(literal -1 binary64) x)
x
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 #s(literal -1 binary64) x)
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 #s(literal -1 binary64) x)
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 #s(literal -1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (pow x 2)) x)
(-.f64 x (/.f64 #s(literal -1 binary64) x))
(/ (+ 1 (pow x 2)) x)
(-.f64 x (/.f64 #s(literal -1 binary64) x))
(/ (+ 1 (pow x 2)) x)
(-.f64 x (/.f64 #s(literal -1 binary64) x))
x
(* x (+ 1 (/ 1 (pow x 2))))
(-.f64 x (/.f64 #s(literal -1 binary64) x))
(* x (+ 1 (/ 1 (pow x 2))))
(-.f64 x (/.f64 #s(literal -1 binary64) x))
(* x (+ 1 (/ 1 (pow x 2))))
(-.f64 x (/.f64 #s(literal -1 binary64) x))
x
(* x (+ 1 (/ 1 (pow x 2))))
(-.f64 x (/.f64 #s(literal -1 binary64) x))
(* x (+ 1 (/ 1 (pow x 2))))
(-.f64 x (/.f64 #s(literal -1 binary64) x))
(* x (+ 1 (/ 1 (pow x 2))))
(-.f64 x (/.f64 #s(literal -1 binary64) 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) x) (*.f64 x x))
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) x)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (/ 1 x) 1) x))
(/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) x)) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- x 1) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(-.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal -1 binary64) x)))
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(fma.f64 x x (-.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal -1 binary64) x))))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x)))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x)) (*.f64 x (*.f64 x x)))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x)))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x)) (*.f64 x (*.f64 x x)))
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 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))
(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))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 x)))
(+.f64 x (fma.f64 x x #s(literal 1 binary64)))
(+ 1 (* x (+ 1 (* x (+ 1 x)))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
(pow x 3)
(*.f64 x (*.f64 x x))
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 x (fma.f64 x x x))
(* (pow x 3) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x x x) x)
(* (pow x 3) (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
(pow x 3)
(*.f64 x (*.f64 x x))
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 x (fma.f64 x x x))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)))
(fma.f64 x (fma.f64 x x x) x)
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 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))

rewrite290.0ms (3.7%)

Memory
15.6MiB live, 442.7MiB allocated
Rules
6 238×lower-/.f32
6 226×lower-/.f64
6 126×lower-fma.f32
6 124×lower-fma.f64
3 528×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026172
041172
1207170
22122170
08879163
Stop Event
iter limit
node limit
iter limit
Counts
18 → 808
Calls
Call 1
Inputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) (*.f64 x x)))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) (*.f64 x x))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x)))
(/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) x)
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(*.f64 x x)
#s(approx (- (/ 1 (+ x 1)) (/ 1 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 (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal -1 binary64) x)
(+.f64 x (/.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))))
(-.f64 (/.f64 (fma.f64 x 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) x))
(fma.f64 x 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) x)
Outputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))) (*.f64 x x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x x))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))) (neg.f64 (*.f64 x x))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))) (*.f64 x x)) (/.f64 (/.f64 (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))))) (/.f64 (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))))))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))) (neg.f64 (*.f64 x x))))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x)) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x)) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 x x)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x)) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))))))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))) (*.f64 x x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (neg.f64 (*.f64 x x)))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (*.f64 (*.f64 x x) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x)) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))) x) x)
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x)) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 x x)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))) (neg.f64 (neg.f64 (*.f64 x x))))
(/.f64 (neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))) x)) (neg.f64 x))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)))))) (neg.f64 (*.f64 (*.f64 x x) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x)) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))))) (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x)) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x)) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 x x))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))))) (neg.f64 (neg.f64 (neg.f64 (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))) x))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))) #s(literal 1 binary64))) (neg.f64 (*.f64 x x)))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x)) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))))
(pow.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))) (*.f64 x x)))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))) (*.f64 x x)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))) x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
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(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))
(exp.f64 (log1p.f64 x))
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(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
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(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
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(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
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(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 x (/.f64 x (+.f64 x #s(literal -1 binary64)))) (*.f64 x (/.f64 x (+.f64 x #s(literal -1 binary64)))) (fma.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 x (/.f64 x (+.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))))
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(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))))

eval153.0ms (1.9%)

Memory
-9.1MiB live, 224.8MiB allocated
Compiler

Compiled 28 852 to 2 856 computations (90.1% saved)

prune147.0ms (1.9%)

Memory
29.4MiB live, 274.2MiB allocated
Pruning

16 alts after pruning (11 fresh and 5 done)

PrunedKeptTotal
New1 138111 149
Fresh404
Picked145
Done011
Total1 143161 159
Accuracy
100.0%
Counts
1 159 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.6%
(-.f64 (/.f64 (fma.f64 x 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) x))
77.8%
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
47.4%
(-.f64 #s(approx (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
47.7%
(-.f64 #s(approx (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
14.0%
#s(approx (- (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (/ 1 x)) (/.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))
44.5%
#s(approx (- (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (/ 1 x)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x)) (*.f64 x (*.f64 x x))))
44.4%
#s(approx (- (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))))
54.4%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
24.3%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))))
53.5%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
49.3%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
54.8%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))) x) (/.f64 #s(literal 1 binary64) x)))
47.1%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x))))
2.6%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (fma.f64 x x (neg.f64 x))))
2.2%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
1.9%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (*.f64 x x)))
Compiler

Compiled 339 to 170 computations (49.9% saved)

simplify218.0ms (2.7%)

Memory
13.6MiB live, 190.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x (*.f64 x x))
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x)))
cost-diff0
#s(approx (- (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
#s(approx (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (-.f64 #s(literal 1 binary64) x))
cost-diff0
(-.f64 #s(approx (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
cost-diff0
(fma.f64 x x #s(literal 1 binary64))
cost-diff0
(-.f64 (fma.f64 x x #s(literal 1 binary64)) x)
cost-diff0
#s(approx (* (+ -1 x) (+ x (/ 1 x))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
cost-diff0
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
cost-diff0
(*.f64 x x)
cost-diff0
#s(approx (* (+ -1 x) (+ x (/ 1 x))) (*.f64 x x))
cost-diff0
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (*.f64 x x)))
cost-diff0
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x)))
cost-diff0
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))) x) (/.f64 #s(literal 1 binary64) x)))
cost-diff192
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))) x)
cost-diff704
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))) x) (/.f64 #s(literal 1 binary64) x))
Rules
12 062×lower-fma.f32
12 060×lower-fma.f64
3 606×lower-*.f32
3 600×lower-*.f64
1 720×lower-/.f32
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
036268
052262
1100258
2198234
3368234
4879230
52775227
65437227
08150227
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))) x) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))) x)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x)))
#s(literal -1 binary64)
(/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))
(+.f64 x #s(literal -1 binary64))
x
(*.f64 x x)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (*.f64 x x)))
#s(approx (* (+ -1 x) (+ x (/ 1 x))) (*.f64 x x))
(*.f64 x x)
x
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
#s(approx (* (+ -1 x) (+ x (/ 1 x))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(-.f64 (fma.f64 x x #s(literal 1 binary64)) x)
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(-.f64 #s(approx (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 #s(literal 1 binary64) x)
#s(approx (- (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x)))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 x (*.f64 x x))
(*.f64 x x)
Outputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))) x) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))) x)
(/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x x)))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x)))
#s(literal -1 binary64)
(/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))
(+.f64 x #s(literal -1 binary64))
x
(*.f64 x x)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (*.f64 x x)))
#s(approx (* (+ -1 x) (+ x (/ 1 x))) (*.f64 x x))
(*.f64 x x)
x
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
#s(approx (* (+ -1 x) (+ x (/ 1 x))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(-.f64 (fma.f64 x x #s(literal 1 binary64)) x)
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(-.f64 #s(approx (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(+.f64 #s(approx (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x))
#s(approx (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 #s(literal 1 binary64) x)
#s(approx (- (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x)))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 x (*.f64 x x))
(*.f64 x x)

localize197.0ms (2.5%)

Memory
-13.7MiB live, 171.8MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 x x)
accuracy0.07421875
(*.f64 x (*.f64 x x))
accuracy5.900576929351347
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x)))
accuracy29.70134340398493
#s(approx (- (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))))
accuracy0
(/.f64 #s(literal 1 binary64) x)
accuracy0
(-.f64 #s(literal 1 binary64) x)
accuracy14.143164754886657
(-.f64 #s(approx (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
accuracy33.90347315456698
#s(approx (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (-.f64 #s(literal 1 binary64) x))
accuracy0
(fma.f64 x x #s(literal 1 binary64))
accuracy0.0078125
(-.f64 (fma.f64 x x #s(literal 1 binary64)) x)
accuracy28.871870806932858
#s(approx (* (+ -1 x) (+ x (/ 1 x))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
accuracy33.88768024942072
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
accuracy0
(*.f64 x x)
accuracy29.543777879669317
#s(approx (* (+ -1 x) (+ x (/ 1 x))) (*.f64 x x))
accuracy33.88768024942072
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (*.f64 x x)))
accuracy0.046875
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))) x)
accuracy0.14453125
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))) x) (/.f64 #s(literal 1 binary64) x))
accuracy17.77271959002191
(/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))
accuracy28.827723242266767
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))) x) (/.f64 #s(literal 1 binary64) x)))
Samples
125.0ms125×1valid
40.0ms131×0valid
Compiler

Compiled 202 to 27 computations (86.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 144.0ms
ival-div: 67.0ms (46.6% of total)
ival-mult: 45.0ms (31.3% of total)
adjust: 15.0ms (10.4% of total)
ival-add: 11.0ms (7.7% of total)
ival-sub: 6.0ms (4.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
13.1MiB live, 13.1MiB allocated
Counts
19 → 228
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))) x) (/.f64 #s(literal 1 binary64) x)) (patch (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))) x) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))) x) (patch (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))) x) #<representation binary64>) () ())
#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))) x) (/.f64 #s(literal 1 binary64) x))) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))) x) (/.f64 #s(literal 1 binary64) x))) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))) (patch (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))) #<representation binary64>) () ())
#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (*.f64 x x))) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (*.f64 x x))) #<representation binary64>) () ())
#s(alt #s(approx (* (+ -1 x) (+ x (/ 1 x))) (*.f64 x x)) (patch #s(approx (* (+ -1 x) (+ x (/ 1 x))) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) #<representation binary64>) () ())
#s(alt #s(approx (* (+ -1 x) (+ x (/ 1 x))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (patch #s(approx (* (+ -1 x) (+ x (/ 1 x))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) #<representation binary64>) () ())
#s(alt (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (patch (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 x x #s(literal 1 binary64)) (patch (fma.f64 x x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) (patch (-.f64 #s(approx (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (-.f64 #s(literal 1 binary64) x)) (patch #s(approx (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (-.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt #s(approx (- (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x)))) (patch #s(approx (- (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())
#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x)) (patch (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x)) #<representation binary64>) () ())
Outputs
#s(alt (/ -1 (pow x 4)) (taylor 0 x) (#s(alt (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))) x) (/.f64 #s(literal 1 binary64) x)) (patch (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))) x) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- x 1) (pow x 4)) (taylor 0 x) (#s(alt (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))) x) (/.f64 #s(literal 1 binary64) x)) (patch (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))) x) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x (+ 1 (* -1 x))) 1) (pow x 4)) (taylor 0 x) (#s(alt (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))) x) (/.f64 #s(literal 1 binary64) x)) (patch (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))) x) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x (+ 1 (* -1 x))) 1) (pow x 4)) (taylor 0 x) (#s(alt (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))) x) (/.f64 #s(literal 1 binary64) x)) (patch (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))) x) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))) x) (/.f64 #s(literal 1 binary64) x)) (patch (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))) x) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (/ 1 x) 1) (pow x 2)) (taylor inf x) (#s(alt (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))) x) (/.f64 #s(literal 1 binary64) x)) (patch (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))) x) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) (taylor inf x) (#s(alt (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))) x) (/.f64 #s(literal 1 binary64) x)) (patch (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))) x) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) (taylor inf x) (#s(alt (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))) x) (/.f64 #s(literal 1 binary64) x)) (patch (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))) x) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))) x) (/.f64 #s(literal 1 binary64) x)) (patch (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))) x) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (/ 1 x) 1) (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))) x) (/.f64 #s(literal 1 binary64) x)) (patch (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))) x) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))) x) (/.f64 #s(literal 1 binary64) x)) (patch (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))) x) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
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#s(alt (/ (- (/ 1 x) 1) (pow x 2)) (taylor inf x) (#s(alt #s(approx (- (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x)))) (patch #s(approx (- (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())) ())
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#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ())
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#s(alt (/ (- 1 (/ 1 x)) x) (taylor inf x) (#s(alt (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x)) (patch (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (/ 1 x)) x) (taylor inf x) (#s(alt (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x)) (patch (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x)) (patch (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (/ 1 x) 1) x)) (taylor -inf x) (#s(alt (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x)) (patch (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (/ 1 x) 1) x)) (taylor -inf x) (#s(alt (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x)) (patch (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (/ 1 x) 1) x)) (taylor -inf x) (#s(alt (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x)) (patch (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x)) #<representation binary64>) () ())) ())
Calls

57 calls:

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

simplify208.0ms (2.6%)

Memory
-20.0MiB live, 234.3MiB allocated
Algorithm
egg-herbie
Rules
11 046×lower-fma.f64
11 046×lower-fma.f32
2 476×lower-*.f64
2 476×lower-*.f32
1 496×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0771765
12171664
26161464
319581462
456651396
081581351
Stop Event
iter limit
node limit
Counts
228 → 228
Calls
Call 1
Inputs
(/ -1 (pow x 4))
(/ (- x 1) (pow x 4))
(/ (- (* x (+ 1 (* -1 x))) 1) (pow x 4))
(/ (- (* x (+ 1 (* -1 x))) 1) (pow x 4))
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/ -1 (pow x 3))
(/ (- x 1) (pow x 3))
(/ (- (* x (+ 1 (* -1 x))) 1) (pow x 3))
(/ (- (* x (+ 1 (* -1 x))) 1) (pow x 3))
(/ -1 x)
(/ (- (/ 1 x) 1) x)
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) x)
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) x)
(/ -1 x)
(* -1 (/ (- 1 (/ 1 x)) x))
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))
(/ -1 x)
(/ (- x 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(/ -1 (pow x 2))
(/ (- x 1) (pow x 2))
(/ (- (* x (+ 1 (* -1 x))) 1) (pow x 2))
(/ (- (* x (+ 1 (* -1 x))) 1) (pow x 2))
-1
(- (/ 1 x) 1)
(- (/ 1 x) (+ 1 (/ 1 (pow x 2))))
(- (/ 1 x) (+ 1 (/ 1 (pow x 2))))
-1
(- (/ 1 x) 1)
(- (* -1 (/ (- (/ 1 x) 1) x)) 1)
(- (* -1 (/ (- (/ 1 x) 1) x)) 1)
(/ -1 x)
(/ (- x 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(/ -1 x)
(/ (- x 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ -1 x)
(/ (- x 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(/ -1 x)
(/ (- x 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))))
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- x 1)))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))
(* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))
1
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(+ 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))))
(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))))
(/ -1 x)
(/ (- x 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (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 (* -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 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ -1 x)
(/ (- x 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(/ 1 (pow x 3))
(/ (+ 1 (* -1 x)) (pow x 3))
(/ (+ 1 (* -1 x)) (pow x 3))
(/ (+ 1 (* -1 x)) (pow x 3))
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(/ -1 (pow x 2))
(/ (- x 1) (pow x 2))
(/ (- x 1) (pow x 2))
(/ (- x 1) (pow x 2))
(/ 1 x)
(/ (- 1 (/ 1 x)) x)
(/ (- 1 (/ 1 x)) x)
(/ (- 1 (/ 1 x)) x)
(/ 1 x)
(* -1 (/ (- (/ 1 x) 1) x))
(* -1 (/ (- (/ 1 x) 1) x))
(* -1 (/ (- (/ 1 x) 1) x))
Outputs
(/ -1 (pow x 4))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- x 1) (pow x 4))
(/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (* x (+ 1 (* -1 x))) 1) (pow x 4))
(/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (* x (+ 1 (* -1 x))) 1) (pow x 4))
(/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x)))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x)))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ -1 (pow x 3))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))
(/ (- x 1) (pow x 3))
(/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x (*.f64 x x)))
(/ (- (* x (+ 1 (* -1 x))) 1) (pow x 3))
(/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x x)))
(/ (- (* x (+ 1 (* -1 x))) 1) (pow x 3))
(/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x x)))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (/ 1 x) 1) x)
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x x)))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x x)))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (- 1 (/ 1 x)) x))
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))
(/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x x)))
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))
(/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x x)))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- x 1) x)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) x))
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x)))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x)))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (/.f64 #s(literal -1 binary64) x) x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x)))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (/.f64 #s(literal -1 binary64) x) x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- x 1) (pow x 2))
(/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))
(/ (- (* x (+ 1 (* -1 x))) 1) (pow x 2))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x)))
(/ (- (* x (+ 1 (* -1 x))) 1) (pow x 2))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x)))
-1
#s(literal -1 binary64)
(- (/ 1 x) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(- (/ 1 x) (+ 1 (/ 1 (pow x 2))))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x)))
(- (/ 1 x) (+ 1 (/ 1 (pow x 2))))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x)))
-1
#s(literal -1 binary64)
(- (/ 1 x) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(- (* -1 (/ (- (/ 1 x) 1) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x)))
(- (* -1 (/ (- (/ 1 x) 1) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x)))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- x 1) x)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) x))
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x)))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x)))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (/.f64 #s(literal -1 binary64) x) x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x)))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (/.f64 #s(literal -1 binary64) x) x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- x 1) x)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) x))
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 x)))
(-.f64 (*.f64 x x) x)
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))
(-.f64 (fma.f64 x x #s(literal 1 binary64)) x)
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))))
(*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 x)))
(-.f64 (*.f64 x x) x)
(* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))
(-.f64 (fma.f64 x x #s(literal 1 binary64)) x)
(* (pow x 2) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))))
(*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) 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)
(pow x 2)
(*.f64 x x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- x 1) x)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) x))
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x)))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x)))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (/.f64 #s(literal -1 binary64) x) x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x)))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (/.f64 #s(literal -1 binary64) x) x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- x 1) x)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) x))
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 x)))
(-.f64 (*.f64 x x) x)
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))
(-.f64 (fma.f64 x x #s(literal 1 binary64)) x)
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))))
(*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 x)))
(-.f64 (*.f64 x x) x)
(* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))
(-.f64 (fma.f64 x x #s(literal 1 binary64)) x)
(* (pow x 2) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))))
(*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) 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)))
(-.f64 (fma.f64 x x #s(literal 1 binary64)) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 x)))
(-.f64 (*.f64 x x) x)
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))
(-.f64 (fma.f64 x x #s(literal 1 binary64)) x)
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))
(-.f64 (fma.f64 x x #s(literal 1 binary64)) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 x)))
(-.f64 (*.f64 x x) x)
(* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))
(-.f64 (fma.f64 x x #s(literal 1 binary64)) x)
(* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))
(-.f64 (fma.f64 x x #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 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))
(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))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- x 1) x)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) x))
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x)))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x)))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (/.f64 #s(literal -1 binary64) x) x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x)))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (/.f64 #s(literal -1 binary64) 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) x) (*.f64 x x))
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (*.f64 x (*.f64 x x)))
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(/.f64 (+.f64 (+.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) (*.f64 x x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (/ 1 x) 1) x))
(/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (*.f64 x (*.f64 x x)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
(/.f64 (+.f64 (+.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) (*.f64 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 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- x 1) x)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) x))
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x)))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x)))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (/.f64 #s(literal -1 binary64) x) x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x)))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (/.f64 #s(literal -1 binary64) x) x))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
(/ (+ 1 (* -1 x)) (pow x 3))
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x)))
(/ (+ 1 (* -1 x)) (pow x 3))
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x)))
(/ (+ 1 (* -1 x)) (pow x 3))
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x)))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x)))
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x)))
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x)))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x)))
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x)))
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) 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))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- x 1) (pow x 2))
(/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))
(/ (- x 1) (pow x 2))
(/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))
(/ (- x 1) (pow x 2))
(/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (/ 1 x)) x)
(/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))
(/ (- 1 (/ 1 x)) x)
(/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))
(/ (- 1 (/ 1 x)) x)
(/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (/ 1 x) 1) x))
(/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))
(* -1 (/ (- (/ 1 x) 1) x))
(/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))
(* -1 (/ (- (/ 1 x) 1) x))
(/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))

rewrite260.0ms (3.3%)

Memory
27.2MiB live, 395.1MiB allocated
Rules
4 688×lower-/.f32
4 680×lower-/.f64
3 736×lower-fma.f32
3 734×lower-fma.f64
2 764×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036243
052233
1262233
22828233
08385226
Stop Event
iter limit
node limit
iter limit
Counts
19 → 470
Calls
Call 1
Inputs
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))) x)
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))) x) (/.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (*.f64 x x)))
#s(approx (* (+ -1 x) (+ x (/ 1 x))) (*.f64 x x))
(*.f64 x x)
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
#s(approx (* (+ -1 x) (+ x (/ 1 x))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(-.f64 (fma.f64 x x #s(literal 1 binary64)) x)
(fma.f64 x x #s(literal 1 binary64))
(-.f64 #s(approx (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
#s(approx (- (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 x x))
(/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))
Outputs
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))) (*.f64 x x)) (/.f64 (/.f64 (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) x)) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x x))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) (neg.f64 (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x)))) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (/.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x)))) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (/.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))))))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) (*.f64 x x))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) x) x)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x)))) x))
(/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x)))) (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 x) (/.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x)))))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (neg.f64 (*.f64 x x)))
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) #s(literal -1 binary64)) (neg.f64 (*.f64 x x)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) #s(literal -1 binary64)) (*.f64 x x))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) #s(literal 1 binary64)) (neg.f64 (*.f64 x x)))
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))) (*.f64 x x))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))) (neg.f64 (*.f64 x x)))
(/.f64 (neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) x)) (neg.f64 x))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))) (neg.f64 (neg.f64 (*.f64 x x))))
(/.f64 (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) x) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))) (neg.f64 x))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) x)) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) #s(literal -1 binary64))) (neg.f64 (neg.f64 (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) #s(literal -1 binary64))) (neg.f64 (*.f64 x x)))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) #s(literal 1 binary64))) (neg.f64 (neg.f64 (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))))) (neg.f64 (*.f64 x x)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))))) (neg.f64 (neg.f64 (*.f64 x x))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) x))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) x) #s(literal -1 binary64))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) x))) (neg.f64 (neg.f64 x)))
(pow.f64 (*.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x)))) x) #s(literal -1 binary64))
(pow.f64 (*.f64 x (/.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))))) #s(literal -1 binary64))
(pow.f64 (/.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x)))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
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(pow.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(*.f64 x (*.f64 x x))
(*.f64 (*.f64 x x) x)
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64))
(*.f64 (*.f64 x (*.f64 x x)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (*.f64 x (*.f64 x x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) x))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x x))) (/.f64 x (neg.f64 (*.f64 x x))))
(-.f64 (/.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) (*.f64 x x)))
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 x x)) (/.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x)) (*.f64 x x)))
(-.f64 (/.f64 x (neg.f64 (neg.f64 (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (*.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (neg.f64 (neg.f64 (*.f64 x x)))) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) (neg.f64 (neg.f64 (*.f64 x x)))))
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) (neg.f64 (neg.f64 (*.f64 x x)))) (/.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x)) (neg.f64 (neg.f64 (*.f64 x x)))))
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) (neg.f64 (*.f64 x x))) (/.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 x x))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (*.f64 x x))) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 x (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (*.f64 x x))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 x (fma.f64 x x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x x x))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x))) (/.f64 (*.f64 x x) (*.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x))))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (+.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) (neg.f64 (neg.f64 (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (neg.f64 (neg.f64 (*.f64 x x)))))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (*.f64 (*.f64 x x) (+.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x (fma.f64 x x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 x x)))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x x)))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 x (fma.f64 x x x)))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))) (neg.f64 x))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (*.f64 x (fma.f64 x x x))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (*.f64 (*.f64 x x) (+.f64 x (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal 1 binary64)))
(/.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 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 x (fma.f64 x x x))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) (neg.f64 (*.f64 x x)))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (-.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal -1 binary64) x)))
(pow.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (pow.f64 (/.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)))
(*.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))))

eval107.0ms (1.3%)

Memory
7.5MiB live, 245.2MiB allocated
Compiler

Compiled 15 207 to 1 486 computations (90.2% saved)

prune141.0ms (1.8%)

Memory
-15.6MiB live, 266.2MiB allocated
Pruning

17 alts after pruning (9 fresh and 8 done)

PrunedKeptTotal
New8137820
Fresh426
Picked235
Done055
Total81917836
Accuracy
100.0%
Counts
836 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.6%
(-.f64 (/.f64 (fma.f64 x 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) x))
77.8%
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
47.4%
(-.f64 #s(approx (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
47.7%
(-.f64 #s(approx (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) #s(approx (- 1 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
44.5%
#s(approx (- (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (/ 1 x)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x)) (*.f64 x (*.f64 x x))))
14.0%
#s(approx (- (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (/ 1 x)) (/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
44.4%
#s(approx (- (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))))
44.4%
#s(approx (- (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))))
45.3%
#s(approx (- (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (/ 1 x)) (/.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 x (*.f64 x x))))
54.4%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
53.5%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
49.3%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
47.1%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x))))
2.6%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (-.f64 (*.f64 x x) x)))
2.6%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (-.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) x)))
1.9%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (*.f64 x x)))
2.9%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) #s(approx (- (+ (* x x) 1) x) #s(literal 1 binary64))))
Compiler

Compiled 257 to 131 computations (49% saved)

simplify238.0ms (3%)

Memory
4.3MiB live, 285.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))
cost-diff0
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x))
cost-diff0
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x)) (*.f64 x (*.f64 x x)))
cost-diff0
#s(approx (- (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (/ 1 x)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x)) (*.f64 x (*.f64 x x))))
cost-diff0
(neg.f64 x)
cost-diff0
#s(approx (- 1 x) (neg.f64 x))
cost-diff0
(/.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 x (*.f64 x x)))
cost-diff0
#s(approx (- (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (/ 1 x)) (/.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 x (*.f64 x x))))
cost-diff0
(*.f64 x x)
cost-diff0
(-.f64 (*.f64 x x) x)
cost-diff0
#s(approx (* (+ -1 x) (+ x (/ 1 x))) (-.f64 (*.f64 x x) x))
cost-diff0
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (-.f64 (*.f64 x x) x)))
cost-diff0
#s(approx (- (+ (* x x) 1) x) #s(literal 1 binary64))
cost-diff0
#s(approx (* (+ -1 x) (+ x (/ 1 x))) #s(approx (- (+ (* x x) 1) x) #s(literal 1 binary64)))
cost-diff0
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) #s(approx (- (+ (* x x) 1) x) #s(literal 1 binary64))))
cost-diff0
(/.f64 #s(literal -1 binary64) x)
cost-diff0
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
cost-diff384
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
Rules
12 420×lower-fma.f64
12 420×lower-fma.f32
3 410×lower-*.f32
3 406×lower-*.f64
1 780×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039282
051270
1102270
2229250
3569250
41714250
55131246
67443246
08051243
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) #s(approx (- (+ (* x x) 1) x) #s(literal 1 binary64))))
#s(approx (* (+ -1 x) (+ x (/ 1 x))) #s(approx (- (+ (* x x) 1) x) #s(literal 1 binary64)))
#s(approx (- (+ (* x x) 1) x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (-.f64 (*.f64 x x) x)))
#s(approx (* (+ -1 x) (+ x (/ 1 x))) (-.f64 (*.f64 x x) x))
(-.f64 (*.f64 x x) x)
(*.f64 x x)
x
#s(approx (- (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (/ 1 x)) (/.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 x (*.f64 x x))))
(/.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 x (*.f64 x x)))
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
x
(*.f64 x (*.f64 x x))
(*.f64 x x)
#s(approx (- (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (/ 1 x)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x)) (*.f64 x (*.f64 x x))))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x)) (*.f64 x (*.f64 x x)))
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 x x)
(+.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(*.f64 x (*.f64 x x))
Outputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) #s(approx (- (+ (* x x) 1) x) #s(literal 1 binary64))))
#s(approx (* (+ -1 x) (+ x (/ 1 x))) #s(approx (- (+ (* x x) 1) x) #s(literal 1 binary64)))
#s(approx (- (+ (* x x) 1) x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (-.f64 (*.f64 x x) x)))
#s(approx (* (+ -1 x) (+ x (/ 1 x))) (-.f64 (*.f64 x x) x))
(-.f64 (*.f64 x x) x)
(*.f64 x x)
x
#s(approx (- (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (/ 1 x)) (/.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 x (*.f64 x x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 x (*.f64 x x))))
(/.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 x (*.f64 x x)))
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
x
(*.f64 x (*.f64 x x))
(*.f64 x x)
#s(approx (- (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (/ 1 x)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x)) (*.f64 x (*.f64 x x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 x (*.f64 x x))))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x)) (*.f64 x (*.f64 x x)))
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 x (*.f64 x x)))
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 x x)
(+.f64 #s(literal -1 binary64) x)
(+.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(*.f64 x (*.f64 x x))

localize130.0ms (1.6%)

Memory
-4.8MiB live, 162.0MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.07421875
(*.f64 x (*.f64 x x))
accuracy5.892764429351347
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x)) (*.f64 x (*.f64 x x)))
accuracy17.77271959002191
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))
accuracy29.63903761385266
#s(approx (- (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (/ 1 x)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x)) (*.f64 x (*.f64 x x))))
accuracy0.07421875
(*.f64 x (*.f64 x x))
accuracy5.900576929351347
(/.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 x (*.f64 x x)))
accuracy29.159332572765347
#s(approx (- 1 x) (neg.f64 x))
accuracy29.70134340398493
#s(approx (- (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (/ 1 x)) (/.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 x (*.f64 x x))))
accuracy0
(*.f64 x x)
accuracy0.0078125
(-.f64 (*.f64 x x) x)
accuracy28.730381520633248
#s(approx (* (+ -1 x) (+ x (/ 1 x))) (-.f64 (*.f64 x x) x))
accuracy33.88768024942072
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (-.f64 (*.f64 x x) x)))
accuracy28.871870806932858
#s(approx (* (+ -1 x) (+ x (/ 1 x))) #s(approx (- (+ (* x x) 1) x) #s(literal 1 binary64)))
accuracy33.10146660951295
#s(approx (- (+ (* x x) 1) x) #s(literal 1 binary64))
accuracy33.88768024942072
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) #s(approx (- (+ (* x x) 1) x) #s(literal 1 binary64))))
accuracy0
(/.f64 #s(literal -1 binary64) x)
accuracy0.13671875
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
accuracy29.126561980066658
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
Samples
76.0ms125×1valid
23.0ms131×0valid
Compiler

Compiled 187 to 29 computations (84.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 79.0ms
ival-add: 35.0ms (44.5% of total)
ival-div: 16.0ms (20.3% of total)
ival-sub: 10.0ms (12.7% of total)
adjust: 8.0ms (10.2% of total)
ival-mult: 8.0ms (10.2% of total)
ival-neg: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
10.8MiB live, 10.8MiB allocated
Counts
19 → 228
Calls
Call 1
Inputs
#s(alt (/.f64 (/.f64 #s(literal -1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal -1 binary64) x) x) #<representation binary64>) () ())
#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())
#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) #s(approx (- (+ (* x x) 1) x) #s(literal 1 binary64)))) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) #s(approx (- (+ (* x x) 1) x) #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (* (+ -1 x) (+ x (/ 1 x))) #s(approx (- (+ (* x x) 1) x) #s(literal 1 binary64))) (patch #s(approx (* (+ -1 x) (+ x (/ 1 x))) #s(approx (- (+ (* x x) 1) x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- (+ (* x x) 1) x) #s(literal 1 binary64)) (patch #s(approx (- (+ (* x x) 1) x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (-.f64 (*.f64 x x) x))) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (-.f64 (*.f64 x x) x))) #<representation binary64>) () ())
#s(alt #s(approx (* (+ -1 x) (+ x (/ 1 x))) (-.f64 (*.f64 x x) x)) (patch #s(approx (* (+ -1 x) (+ x (/ 1 x))) (-.f64 (*.f64 x x) x)) #<representation binary64>) () ())
#s(alt (-.f64 (*.f64 x x) x) (patch (-.f64 (*.f64 x x) x) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt #s(approx (- (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (/ 1 x)) (/.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 x (*.f64 x x)))) (patch #s(approx (- (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (/ 1 x)) (/.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 x (*.f64 x x))) (patch (/.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())
#s(alt #s(approx (- 1 x) (neg.f64 x)) (patch #s(approx (- 1 x) (neg.f64 x)) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt #s(approx (- (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (/ 1 x)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x)) (*.f64 x (*.f64 x x)))) (patch #s(approx (- (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (/ 1 x)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x)) (*.f64 x (*.f64 x x)))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x)) (*.f64 x (*.f64 x x))) (patch (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x)) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x)) (patch (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())
Outputs
#s(alt (/ -1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal -1 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal -1 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal -1 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal -1 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal -1 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal -1 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal -1 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal -1 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal -1 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal -1 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal -1 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) x) x) (patch (/.f64 (/.f64 #s(literal -1 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor 0 x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- x 1) x) (taylor 0 x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x (+ 1 (* -1 x))) 1) x) (taylor 0 x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x (+ 1 (* x (- x 1)))) 1) x) (taylor 0 x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (pow x 2)) (taylor inf x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (/ 1 x) 1) (pow x 2)) (taylor inf x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) (taylor inf x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) (taylor inf x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (pow x 2)) (taylor -inf x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (/ 1 x) 1) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor 0 x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) #s(approx (- (+ (* x x) 1) x) #s(literal 1 binary64)))) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) #s(approx (- (+ (* x x) 1) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- x 1) x) (taylor 0 x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) #s(approx (- (+ (* x x) 1) x) #s(literal 1 binary64)))) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) #s(approx (- (+ (* x x) 1) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x (+ 1 (* -1 x))) 1) x) (taylor 0 x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) #s(approx (- (+ (* x x) 1) x) #s(literal 1 binary64)))) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) #s(approx (- (+ (* x x) 1) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x (+ 1 (* x (- x 1)))) 1) x) (taylor 0 x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) #s(approx (- (+ (* x x) 1) x) #s(literal 1 binary64)))) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) #s(approx (- (+ (* x x) 1) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (pow x 2)) (taylor inf x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) #s(approx (- (+ (* x x) 1) x) #s(literal 1 binary64)))) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) #s(approx (- (+ (* x x) 1) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (/ 1 x) 1) (pow x 2)) (taylor inf x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) #s(approx (- (+ (* x x) 1) x) #s(literal 1 binary64)))) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) #s(approx (- (+ (* x x) 1) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) (taylor inf x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) #s(approx (- (+ (* x x) 1) x) #s(literal 1 binary64)))) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) #s(approx (- (+ (* x x) 1) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2)) (taylor inf x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) #s(approx (- (+ (* x x) 1) x) #s(literal 1 binary64)))) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) #s(approx (- (+ (* x x) 1) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ -1 (pow x 2)) (taylor -inf x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) #s(approx (- (+ (* x x) 1) x) #s(literal 1 binary64)))) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) #s(approx (- (+ (* x x) 1) x) #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (/ (- (/ 1 x) 1) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x)) (*.f64 x (*.f64 x x))) (patch (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x)) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x)) (*.f64 x (*.f64 x x))) (patch (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x)) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x)) (*.f64 x (*.f64 x x))) (patch (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x)) (*.f64 x (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x)) (patch (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 x)) (pow x 2)) (taylor 0 x) (#s(alt (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x)) (patch (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* x (- x 1))) (pow x 2)) (taylor 0 x) (#s(alt (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x)) (patch (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) (pow x 2)) (taylor 0 x) (#s(alt (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x)) (patch (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x)) (patch (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) 1)) (taylor inf x) (#s(alt (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x)) (patch (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ 1 x) (+ 1 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x)) (patch (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x)) (patch (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x)) (patch (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 1 (/ 1 x)))) (taylor -inf x) (#s(alt (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x)) (patch (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))) (taylor -inf x) (#s(alt (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x)) (patch (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))))) (taylor -inf x) (#s(alt (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x)) (patch (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 x)) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 x)) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* -1 x)) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (/ 1 x) 1) x) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (/ 1 x) 1) x) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (/ 1 x) 1) x) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- 1 (/ 1 x)) x)) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- 1 (/ 1 x)) x)) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- 1 (/ 1 x)) x)) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ())
Calls

57 calls:

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

simplify181.0ms (2.3%)

Memory
-12.5MiB live, 176.5MiB allocated
Algorithm
egg-herbie
Rules
8 808×lower-fma.f64
8 808×lower-fma.f32
1 884×lower-*.f64
1 884×lower-*.f32
1 610×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0751747
12031641
26241401
320281373
460901373
080881325
Stop Event
iter limit
node limit
Counts
228 → 228
Calls
Call 1
Inputs
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 (pow x 2))
(/ -1 x)
(/ (- x 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ (- x 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(/ -1 x)
(/ (- x 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))))
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- x 1)))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))
(* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))
(/ -1 x)
(/ (- x 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(/ -1 x)
(/ (- x 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))))
(* -1 x)
(* x (- x 1))
(* x (- x 1))
(* x (- x 1))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ -1 x)
(/ (- x 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(/ 1 (pow x 3))
(/ (+ 1 (* -1 x)) (pow x 3))
(/ (+ 1 (* -1 x)) (pow x 3))
(/ (+ 1 (* -1 x)) (pow x 3))
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
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 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ -1 x)
(/ (- x 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(/ 1 (pow x 5))
(/ (+ 1 (* -1 x)) (pow x 5))
(/ (+ 1 (* x (- x 1))) (pow x 5))
(/ (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) (pow x 5))
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(/ 1 (pow x 2))
(/ (+ 1 (* -1 x)) (pow x 2))
(/ (+ 1 (* x (- x 1))) (pow x 2))
(/ (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) (pow x 2))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))))
(* x (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))
(/ 1 (pow x 2))
(/ (+ 1 (* -1 x)) (pow x 2))
(/ (+ 1 (* -1 x)) (pow x 2))
(/ (+ 1 (* -1 x)) (pow x 2))
(/ -1 x)
(/ (- (/ 1 x) 1) x)
(/ (- (/ 1 x) 1) x)
(/ (- (/ 1 x) 1) x)
(/ -1 x)
(* -1 (/ (- 1 (/ 1 x)) x))
(* -1 (/ (- 1 (/ 1 x)) x))
(* -1 (/ (- 1 (/ 1 x)) x))
(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)
Outputs
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- x 1) x)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(+.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (/.f64 #s(literal -1 binary64) x) x)))
(/ -1 (pow x 2))
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(*.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))

rewrite245.0ms (3.1%)

Memory
32.1MiB live, 301.2MiB allocated
Rules
5 026×lower-/.f32
5 016×lower-/.f64
4 244×lower-fma.f64
4 244×lower-fma.f32
2 914×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039257
051247
1264245
22821245
08787231
Stop Event
iter limit
node limit
iter limit
Counts
19 → 392
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
(/.f64 #s(literal -1 binary64) x)
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) #s(approx (- (+ (* x x) 1) x) #s(literal 1 binary64))))
#s(approx (* (+ -1 x) (+ x (/ 1 x))) #s(approx (- (+ (* x x) 1) x) #s(literal 1 binary64)))
#s(approx (- (+ (* x x) 1) x) #s(literal 1 binary64))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (-.f64 (*.f64 x x) x)))
#s(approx (* (+ -1 x) (+ x (/ 1 x))) (-.f64 (*.f64 x x) x))
(-.f64 (*.f64 x x) x)
(*.f64 x x)
#s(approx (- (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (/ 1 x)) (/.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 x (*.f64 x x))))
(/.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 x (*.f64 x x)))
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
#s(approx (- (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (/ 1 x)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x)) (*.f64 x (*.f64 x x))))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x)) (*.f64 x (*.f64 x x)))
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))
(*.f64 x (*.f64 x x))
Outputs
(exp.f64 (*.f64 (log.f64 (*.f64 x (neg.f64 x))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (neg.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x (neg.f64 x)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 (neg.f64 (neg.f64 x))))
(/.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 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) (neg.f64 x))
(pow.f64 (*.f64 x (neg.f64 x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 #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) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x))
(neg.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (neg.f64 x))))
(pow.f64 (neg.f64 x) #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))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) #s(approx (- (+ (* x x) 1) x) #s(literal 1 binary64))))
#s(approx (* (+ -1 x) (+ x (/ 1 x))) #s(approx (- (+ (* x x) 1) x) #s(literal 1 binary64)))
#s(approx (- (+ (* x x) 1) x) #s(literal 1 binary64))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (-.f64 (*.f64 x x) x)))
#s(approx (* (+ -1 x) (+ x (/ 1 x))) (-.f64 (*.f64 x x) x))
(+.f64 (*.f64 x x) (neg.f64 x))
(+.f64 (neg.f64 x) (*.f64 x x))
(-.f64 (*.f64 x x) x)
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 x x x)))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 x x x)))))
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x x)) (/.f64 (*.f64 x x) (fma.f64 x x x)))
(-.f64 (fma.f64 x x #s(literal 0 binary64)) x)
(fma.f64 #s(literal -1 binary64) x (*.f64 x x))
(fma.f64 x #s(literal -1 binary64) (*.f64 x x))
(fma.f64 x x (neg.f64 x))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (neg.f64 x))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (neg.f64 x))
(fma.f64 (neg.f64 x) (neg.f64 x) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 x x x))) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (neg.f64 x)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x x) (*.f64 (fma.f64 x x x) (-.f64 (*.f64 x x) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 x x x))) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (neg.f64 x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x x) (*.f64 (fma.f64 x x x) (-.f64 (*.f64 x x) x))))
(/.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (neg.f64 x)))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 x x x))))
(/.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (neg.f64 x)))) (fma.f64 x (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (neg.f64 x))))))
(/.f64 (*.f64 (fma.f64 x x x) (-.f64 (*.f64 x x) x)) (fma.f64 x x x))
(/.f64 (*.f64 x (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (+.f64 x (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (neg.f64 x))))) (neg.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 x x x)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (neg.f64 x))))) (neg.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 x (*.f64 x (neg.f64 x)))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x x) (-.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 x x x)))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) x) (+.f64 x (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (-.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x)) (neg.f64 (-.f64 #s(literal -1 binary64) x)))
(/.f64 (neg.f64 (*.f64 x (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (neg.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal -1 binary64) x)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (neg.f64 x)))))) (neg.f64 (neg.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 x x x))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 x x x) (-.f64 (*.f64 x x) x)))) (neg.f64 (neg.f64 (fma.f64 x x x))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) x)) (neg.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (fma.f64 x (*.f64 x (neg.f64 x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 x x (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (neg.f64 x))))))
(pow.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 x x x))) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (neg.f64 x))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x x x) (*.f64 (fma.f64 x x x) (-.f64 (*.f64 x x) x))) #s(literal -1 binary64))
(*.f64 x (+.f64 #s(literal -1 binary64) x))
(*.f64 (+.f64 #s(literal -1 binary64) x) x)
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 x x x)))))
(*.f64 (*.f64 (fma.f64 x x x) (-.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 (neg.f64 x) (neg.f64 x))
#s(approx (- (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (/ 1 x)) (/.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 x (*.f64 x x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(approx (- 1 x) (neg.f64 x)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (neg.f64 x)))) (/.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 x (*.f64 x (neg.f64 x)))))
(neg.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 x (*.f64 x (neg.f64 x)))))
(neg.f64 (/.f64 (neg.f64 #s(approx (- 1 x) (neg.f64 x))) (*.f64 x (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(approx (- 1 x) (neg.f64 x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(approx (- 1 x) (neg.f64 x))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) (/.f64 #s(approx (- 1 x) (neg.f64 x)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) #s(approx (- 1 x) (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(approx (- 1 x) (neg.f64 x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (/.f64 #s(approx (- 1 x) (neg.f64 x)) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(approx (- 1 x) (neg.f64 x))))))
(/.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 x (*.f64 x x)))
(/.f64 (neg.f64 #s(approx (- 1 x) (neg.f64 x))) (*.f64 x (*.f64 x (neg.f64 x))))
(/.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) x) (*.f64 x x))
(/.f64 (neg.f64 (neg.f64 #s(approx (- 1 x) (neg.f64 x)))) (neg.f64 (*.f64 x (*.f64 x (neg.f64 x)))))
(/.f64 (neg.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) x)) (*.f64 x (neg.f64 x)))
(/.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x)))
(/.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 x x)) x)
(/.f64 (/.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) x) x) x)
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (- 1 x) (neg.f64 x))))) (neg.f64 (neg.f64 (*.f64 x (*.f64 x (neg.f64 x))))))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) x))) (neg.f64 (*.f64 x (neg.f64 x))))
(/.f64 (neg.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) #s(literal 1 binary64))) (*.f64 x (*.f64 x (neg.f64 x))))
(/.f64 (neg.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 x x))) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) x) x)) (neg.f64 x))
(pow.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(approx (- 1 x) (neg.f64 x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(approx (- 1 x) (neg.f64 x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 x x) (/.f64 #s(approx (- 1 x) (neg.f64 x)) x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (*.f64 x x) #s(approx (- 1 x) (neg.f64 x))) #s(literal -1 binary64)))
(*.f64 #s(approx (- 1 x) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(*.f64 (neg.f64 #s(approx (- 1 x) (neg.f64 x))) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(approx (- 1 x) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 1 x) (neg.f64 x))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(approx (- 1 x) (neg.f64 x)) x))
(*.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(approx (- 1 x) (neg.f64 x))
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(-.f64 #s(literal 0 binary64) x)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 0 binary64) x)))
(neg.f64 x)
(/.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))
(/.f64 (neg.f64 x) #s(literal 1 binary64))
(/.f64 (*.f64 x (*.f64 x (neg.f64 x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))
(/.f64 (*.f64 x (neg.f64 x)) (+.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (*.f64 x (*.f64 x (neg.f64 x)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))))
(/.f64 (neg.f64 (*.f64 x (neg.f64 x))) (neg.f64 (+.f64 #s(literal 0 binary64) x)))
(/.f64 (neg.f64 (neg.f64 x)) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (neg.f64 x)))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x)))))
(pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(pow.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
#s(approx (- (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (/ 1 x)) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (*.f64 x (*.f64 x x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))))) #s(literal -1 binary64)))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x (*.f64 x x)))))
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x (*.f64 x x))))
(-.f64 (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) (/.f64 x (*.f64 x (*.f64 x x))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (*.f64 x x))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 x x))))
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(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 x (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)))
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) (neg.f64 (*.f64 x (neg.f64 x)))) (/.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 x (neg.f64 x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x (neg.f64 x)))) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (*.f64 x (neg.f64 x)))) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 x (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (*.f64 x (neg.f64 x)))))
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 x (neg.f64 x))) (/.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x)) (*.f64 x (neg.f64 x))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 x (fma.f64 x x #s(literal 1 binary64))))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (+.f64 x (fma.f64 x x #s(literal 1 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x x x))) (/.f64 (*.f64 x x) (*.f64 x (fma.f64 x x x))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))))
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x))
(fma.f64 (*.f64 x x) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))
(/.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (*.f64 x (neg.f64 x))))
(/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x (neg.f64 x)))
(/.f64 (+.f64 #s(literal -1 binary64) x) (neg.f64 (neg.f64 (*.f64 x (neg.f64 x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (+.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (fma.f64 x x x)))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (fma.f64 x x x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (*.f64 x (fma.f64 x x x))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (*.f64 (*.f64 x x) (+.f64 x (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x (fma.f64 x x #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)))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (-.f64 #s(literal -1 binary64) (neg.f64 x)) (*.f64 x (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 x (neg.f64 x)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (neg.f64 (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))) (neg.f64 (*.f64 x (fma.f64 x x x))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (neg.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 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))))))
(pow.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (+.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(/.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64))
(/.f64 (*.f64 x (*.f64 x (neg.f64 x))) #s(literal -1 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(*.f64 x (*.f64 x x))
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 x x) x)
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64))
(*.f64 (*.f64 x (*.f64 x x)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (*.f64 x (*.f64 x x)))

eval84.0ms (1.1%)

Memory
-2.4MiB live, 141.4MiB allocated
Compiler

Compiled 14 737 to 1 192 computations (91.9% saved)

prune91.0ms (1.1%)

Memory
-20.8MiB live, 137.9MiB allocated
Pruning

15 alts after pruning (5 fresh and 10 done)

PrunedKeptTotal
New7052707
Fresh134
Picked235
Done178
Total70915724
Accuracy
100.0%
Counts
724 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.6%
(-.f64 (/.f64 (fma.f64 x 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) x))
77.8%
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
47.4%
(-.f64 #s(approx (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
47.7%
(-.f64 #s(approx (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) #s(approx (- 1 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
14.0%
#s(approx (- (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (/ 1 x)) (/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
44.4%
#s(approx (- (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))))
45.3%
#s(approx (- (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (/ 1 x)) (/.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 x (*.f64 x x))))
11.6%
#s(approx (- (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (/ 1 x)) #s(approx (/ (- (/ (- 1 x) (* x x)) (+ -1 x)) (* x (* x x))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))))
54.4%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
53.5%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
49.3%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
47.1%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x))))
2.6%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (-.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) x)))
2.9%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) #s(approx (- (+ (* x x) 1) x) #s(literal 1 binary64))))
3.0%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) #s(approx (- (* x x) x) (neg.f64 x))))
Compiler

Compiled 470 to 138 computations (70.6% saved)

regimes37.0ms (0.5%)

Memory
-17.0MiB live, 28.3MiB allocated
Counts
30 → 3
Calls
Call 1
Inputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) #s(approx (- (+ (* x x) 1) x) #s(literal 1 binary64))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) #s(approx (- (* x x) x) (neg.f64 x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (-.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (*.f64 x x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (-.f64 (*.f64 x x) x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (fma.f64 x x (neg.f64 x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(-.f64 #s(approx (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(-.f64 #s(approx (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) #s(approx (- 1 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(-.f64 #s(approx (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
#s(approx (- (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (/ 1 x)) (/.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 x (*.f64 x x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))))
#s(approx (- (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
#s(approx (- (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (/ 1 x)) (/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
#s(approx (- (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (/ 1 x)) (/.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) (*.f64 x x)))
#s(approx (- (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (/ 1 x)) #s(approx (/ (- (/ (- 1 x) (* x x)) (+ -1 x)) (* x (* x x))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))))
(-.f64 (/.f64 (fma.f64 x 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) x))
#s(approx (- (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (/ 1 x)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x)) (*.f64 x (*.f64 x x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x)))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))) x) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)))))
#s(approx (- (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))))
Outputs
(-.f64 (/.f64 (fma.f64 x 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) x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))) x) (/.f64 #s(literal 1 binary64) x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
Calls

2 calls:

27.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
8.0ms
x
Results
AccuracySegmentsBranch
99.8%3x
99.8%3(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes19.0ms (0.2%)

Memory
-8.1MiB live, 36.1MiB allocated
Counts
27 → 3
Calls
Call 1
Inputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) #s(approx (- (+ (* x x) 1) x) #s(literal 1 binary64))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) #s(approx (- (* x x) x) (neg.f64 x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (-.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (*.f64 x x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (-.f64 (*.f64 x x) x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (fma.f64 x x (neg.f64 x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(-.f64 #s(approx (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(-.f64 #s(approx (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) #s(approx (- 1 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(-.f64 #s(approx (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
#s(approx (- (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (/ 1 x)) (/.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 x (*.f64 x x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))))
#s(approx (- (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
#s(approx (- (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (/ 1 x)) (/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
#s(approx (- (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (/ 1 x)) (/.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) (*.f64 x x)))
#s(approx (- (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (/ 1 x)) #s(approx (/ (- (/ (- 1 x) (* x x)) (+ -1 x)) (* x (* x x))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))))
(-.f64 (/.f64 (fma.f64 x 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) x))
#s(approx (- (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (/ 1 x)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (+.f64 #s(literal -1 binary64) x)) (*.f64 x (*.f64 x x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x)))))
Outputs
(-.f64 (/.f64 (fma.f64 x 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) x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
Calls

2 calls:

11.0ms
x
7.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
99.3%3x
99.3%3(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes14.0ms (0.2%)

Memory
32.3MiB live, 32.3MiB allocated
Counts
24 → 3
Calls
Call 1
Inputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) #s(approx (- (+ (* x x) 1) x) #s(literal 1 binary64))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) #s(approx (- (* x x) x) (neg.f64 x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (-.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (*.f64 x x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (-.f64 (*.f64 x x) x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (fma.f64 x x (neg.f64 x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(-.f64 #s(approx (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(-.f64 #s(approx (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) #s(approx (- 1 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(-.f64 #s(approx (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
#s(approx (- (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (/ 1 x)) (/.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 x (*.f64 x x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))))
#s(approx (- (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
#s(approx (- (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (/ 1 x)) (/.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
#s(approx (- (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (/ 1 x)) (/.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x x))) (*.f64 x x)))
#s(approx (- (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (/ 1 x)) #s(approx (/ (- (/ (- 1 x) (* x x)) (+ -1 x)) (* x (* x x))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))))
Outputs
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
Calls

2 calls:

7.0ms
x
6.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
99.3%3x
99.3%3(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes14.0ms (0.2%)

Memory
-18.4MiB live, 26.4MiB allocated
Counts
19 → 3
Calls
Call 1
Inputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) #s(approx (- (+ (* x x) 1) x) #s(literal 1 binary64))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) #s(approx (- (* x x) x) (neg.f64 x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (-.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (*.f64 x x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (-.f64 (*.f64 x x) x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (fma.f64 x x (neg.f64 x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(-.f64 #s(approx (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(-.f64 #s(approx (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) #s(approx (- 1 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(-.f64 #s(approx (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
#s(approx (- (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (/ 1 x)) (/.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 x (*.f64 x x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))))
#s(approx (- (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 x x))))
Outputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
Calls

2 calls:

7.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
6.0ms
x
Results
AccuracySegmentsBranch
98.9%3x
98.9%3(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes10.0ms (0.1%)

Memory
30.5MiB live, 30.5MiB allocated
Counts
15 → 3
Calls
Call 1
Inputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) #s(approx (- (+ (* x x) 1) x) #s(literal 1 binary64))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) #s(approx (- (* x x) x) (neg.f64 x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (-.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (*.f64 x x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (-.f64 (*.f64 x x) x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (fma.f64 x x (neg.f64 x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(-.f64 #s(approx (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(-.f64 #s(approx (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) #s(approx (- 1 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(-.f64 #s(approx (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x))))
Outputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
Calls

2 calls:

5.0ms
x
4.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
98.0%3x
98.0%3(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes15.0ms (0.2%)

Memory
-26.7MiB live, 21.4MiB allocated
Counts
14 → 3
Calls
Call 1
Inputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) #s(approx (- (+ (* x x) 1) x) #s(literal 1 binary64))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) #s(approx (- (* x x) x) (neg.f64 x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (-.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (*.f64 x x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (-.f64 (*.f64 x x) x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (fma.f64 x x (neg.f64 x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(-.f64 #s(approx (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(-.f64 #s(approx (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) #s(approx (- 1 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(-.f64 #s(approx (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
Outputs
(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
Calls

2 calls:

10.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
4.0ms
x
Results
AccuracySegmentsBranch
98.0%3x
98.0%3(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes9.0ms (0.1%)

Memory
21.7MiB live, 21.7MiB allocated
Counts
12 → 3
Calls
Call 1
Inputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) #s(approx (- (+ (* x x) 1) x) #s(literal 1 binary64))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) #s(approx (- (* x x) x) (neg.f64 x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (-.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (*.f64 x x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (-.f64 (*.f64 x x) x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (fma.f64 x x (neg.f64 x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(-.f64 #s(approx (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(-.f64 #s(approx (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) #s(approx (- 1 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
Outputs
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
Calls

2 calls:

4.0ms
x
4.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
98.0%3x
98.0%3(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes11.0ms (0.1%)

Memory
-24.9MiB live, 20.2MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) #s(approx (- (+ (* x x) 1) x) #s(literal 1 binary64))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) #s(approx (- (* x x) x) (neg.f64 x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (-.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (*.f64 x x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (-.f64 (*.f64 x x) x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (fma.f64 x x (neg.f64 x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(-.f64 #s(approx (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(-.f64 #s(approx (/ (+ (* x x) 1) (* (+ 1 x) (+ (* x x) 1))) #s(approx (- 1 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
Outputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
Calls

2 calls:

6.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
4.0ms
x
Results
AccuracySegmentsBranch
49.3%1x
49.3%1(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes6.0ms (0.1%)

Memory
16.5MiB live, 16.5MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) #s(approx (- (+ (* x x) 1) x) #s(literal 1 binary64))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) #s(approx (- (* x x) x) (neg.f64 x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (-.f64 #s(approx (+ (* x x) 1) #s(literal 1 binary64)) x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (*.f64 x x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (-.f64 (*.f64 x x) x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (fma.f64 x x (neg.f64 x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
Outputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) #s(approx (- (* x x) x) (neg.f64 x))))
Calls

2 calls:

3.0ms
x
3.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
3.0%1(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
3.0%1x
Compiler

Compiled 12 to 7 computations (41.7% saved)

regimes3.0ms (0%)

Memory
8.6MiB live, 8.6MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) #s(approx (- (+ (* x x) 1) x) #s(literal 1 binary64))))
Outputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) #s(approx (- (+ (* x x) 1) x) #s(literal 1 binary64))))
Calls

2 calls:

1.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
1.0ms
x
Results
AccuracySegmentsBranch
2.9%1x
2.9%1(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
Compiler

Compiled 12 to 7 computations (41.7% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
24651251894891310.0
0.0ms
-3.4837970470208144
-2.601795145804476e-10
Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
24651251894891310.0
0.0ms
-2.601795145804476e-10
-1.194264632763187e-17
Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
24651251894891310.0
0.0ms
-1.194264632763187e-17
-8.791449258142214e-19
Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
24651251894891310.0
0.0ms
-3.4837970470208144
-2.601795145804476e-10
Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
24651251894891310.0
0.0ms
-3.4837970470208144
-2.601795145804476e-10
Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
24651251894891310.0
0.0ms
-3.4837970470208144
-2.601795145804476e-10
Compiler

Compiled 13 to 10 computations (23.1% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
24651251894891310.0
0.0ms
-3.4837970470208144
-2.601795145804476e-10
Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify16.0ms (0.2%)

Memory
-14.9MiB live, 30.0MiB allocated
Algorithm
egg-herbie
Rules
24×+-commutative_binary64
18×sub-neg_binary64
14×*-commutative_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070549
187549
299549
3104549
4110549
5112549
6115549
7117549
8118549
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) (-.f64 (/.f64 (fma.f64 x 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) x)) (if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))) x) (/.f64 #s(literal 1 binary64) x))) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.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) x)) #s(literal -7737125245533627/38685626227668133590597632 binary64)) (-.f64 (/.f64 (fma.f64 x 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) x)) (if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.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) x)) #s(literal -6490371073168535/649037107316853453566312041152512 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 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) x)) #s(literal 0 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.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) x)) #s(literal -2 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.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) x)) #s(literal 0 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.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) x)) #s(literal -2 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.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) x)) #s(literal 0 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.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) x)) #s(literal -2 binary64)) (-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.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) x)) #s(literal 0 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.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) x)) #s(literal -2 binary64)) (-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 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) x)) #s(literal 0 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) #s(approx (- (* x x) x) (neg.f64 x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) #s(approx (- (+ (* x x) 1) x) #s(literal 1 binary64))))
Outputs
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) (-.f64 (/.f64 (fma.f64 x 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) x)) (if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))) x) (/.f64 #s(literal 1 binary64) x))) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))))
(if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64)) (+.f64 (/.f64 (fma.f64 x 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) x)) (if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) #s(literal 0 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))) x))) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.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) x)) #s(literal -7737125245533627/38685626227668133590597632 binary64)) (-.f64 (/.f64 (fma.f64 x 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) x)) (if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))))
(if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) #s(literal -7737125245533627/38685626227668133590597632 binary64)) (+.f64 (/.f64 (fma.f64 x 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) x)) (if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) #s(literal 0 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.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) x)) #s(literal -6490371073168535/649037107316853453566312041152512 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 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) x)) #s(literal 0 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))))
(if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) #s(literal -6490371073168535/649037107316853453566312041152512 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) #s(literal 0 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.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) x)) #s(literal -2 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.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) x)) #s(literal 0 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))))
(if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) x)))) (if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) #s(literal 0 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.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) x)) #s(literal -2 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 x (/.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) x)) #s(literal 0 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))))
(if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) x)))) (if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) #s(literal 0 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.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) x)) #s(literal -2 binary64)) (-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.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) x)) #s(literal 0 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))))
(if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64)) (+.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) #s(literal 0 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.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) x)) #s(literal -2 binary64)) (-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 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) x)) #s(literal 0 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))))
(if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) #s(literal -2 binary64)) (+.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) #s(literal 0 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) #s(approx (- (* x x) x) (neg.f64 x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (+ -1 x) (+ x (/ 1 x))) #s(approx (- (+ (* x x) 1) x) #s(literal 1 binary64))))

soundness2.1s (25.8%)

Memory
5.6MiB live, 1 004.0MiB allocated
Rules
18 178×lower-fma.f64
18 178×lower-fma.f32
11 170×lower-fma.f64
11 170×lower-fma.f32
11 046×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026172
041172
1207170
22122170
08879163
053305
1150286
2351274
31017268
43170263
55268262
66646262
77448262
87950262
08009260
0620
01020
15920
255120
3602220
0942818
0991592
13001502
28881382
335951304
082591255
0751747
12031641
26241401
320281373
460901373
080881325
0771765
12171664
26161464
319581462
456651396
081581351
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 470 to 131 computations (72.1% saved)

preprocess129.0ms (1.6%)

Memory
-6.4MiB live, 88.5MiB allocated
Compiler

Compiled 730 to 124 computations (83% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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