3frac (problem 3.3.3)

Time bar (total: 9.4s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze4.0ms (0%)

Memory
3.2MiB live, 3.2MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50%50%0%0%0%0
0%0%50%50%0%0%0%1
50%25%25%50%0%0%0%2
75%37.5%12.5%50%0%0%0%3
87.5%43.8%6.3%50%0%0%0%4
93.8%46.9%3.1%50%0%0%0%5
96.9%48.4%1.6%50%0%0%0%6
98.4%49.2%0.8%50%0%0%0%7
99.2%49.6%0.4%50%0%0%0%8
99.6%49.8%0.2%50%0%0%0%9
99.8%49.9%0.1%50%0%0%0%10
99.9%50%0%50%0%0%0%11
100%50%0%50%0%0%0%12
Compiler

Compiled 20 to 13 computations (35% saved)

sample2.1s (22.6%)

Memory
76.6MiB live, 2 050.6MiB allocated
Samples
1.4s7 333×1valid
119.0ms509×2valid
27.0ms414×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-div: 433.0ms (35.1% of total)
adjust: 350.0ms (28.4% of total)
ival-sub: 180.0ms (14.6% of total)
ival-add: 167.0ms (13.5% of total)
ival-fabs: 52.0ms (4.2% of total)
ival->: 40.0ms (3.2% of total)
exact: 9.0ms (0.7% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

explain373.0ms (4%)

Memory
-37.1MiB live, 313.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
93163(-6.65285991154009e+223)0-(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
00-0-(+.f64 x #s(literal 1 binary64))
00-0-(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
00-0-#s(literal 1 binary64)
00-0-(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
00-0-(/.f64 #s(literal 2 binary64) x)
00-0-(-.f64 x #s(literal 1 binary64))
00-0-#s(literal 2 binary64)
00-0-(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
+.f64(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))cancellation2560
Confusion
Predicted +Predicted -
+930
-1630
Precision
0.36328125
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+9300
-16300
Precision?
0.36328125
Recall?
1.0
Freqs
test
numberfreq
1256
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
206.0ms444×1valid
18.0ms42×2valid
3.0ms26×0valid
Compiler

Compiled 203 to 80 computations (60.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 186.0ms
ival-div: 77.0ms (41.5% of total)
adjust: 46.0ms (24.8% of total)
ival-sub: 42.0ms (22.6% of total)
ival-add: 19.0ms (10.2% of total)
ival-true: 1.0ms (0.5% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)

preprocess36.0ms (0.4%)

Memory
8.6MiB live, 44.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01237
13232
28730
322330
443730
554430
657730
758230
01015
01715
12815
24615
37415
413415
524815
638915
749915
854615
054615
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Outputs
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(-.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
Symmetry

(negabs x)

Compiler

Compiled 15 to 10 computations (33.3% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.9%
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify20.0ms (0.2%)

Memory
-29.9MiB live, 17.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
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 2 binary64) x))
cost-diff0
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01046
01746
12846
24646
37446
413446
524846
638946
749946
854646
054646
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 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 2 binary64) x)
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
Outputs
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(-.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x))
(-.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))
#s(literal 1 binary64)
(+.f64 x #s(literal 1 binary64))
(-.f64 x #s(literal -1 binary64))
x
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))

localize54.0ms (0.6%)

Memory
19.8MiB live, 94.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
accuracy0.00390625
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
accuracy0.00390625
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x))
accuracy20.550869059918437
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Samples
36.0ms221×1valid
5.0ms22×2valid
1.0ms13×0valid
Compiler

Compiled 94 to 22 computations (76.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-div: 10.0ms (35.5% of total)
adjust: 7.0ms (24.9% of total)
ival-add: 6.0ms (21.3% of total)
ival-sub: 4.0ms (14.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series4.0ms (0%)

Memory
6.7MiB live, 6.7MiB allocated
Counts
5 → 60
Calls
Call 1
Inputs
#s(alt (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 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) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())
Outputs
#s(alt (/ -2 x) (taylor 0 x) (#s(alt (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -2 (pow x 2)) 2) x) (taylor 0 x) (#s(alt (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) (taylor 0 x) (#s(alt (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) (taylor 0 x) (#s(alt (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ -2 x) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- x 2) x) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x (+ 1 (* -1 x))) 2) x) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x (+ 1 (* x (- x 1)))) 2) x) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 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 (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 -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) 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 (- (* x (- (* -1 x) 1)) 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 (- (* x (- (* x (- (* -1 x) 1)) 1)) 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 (/ 2 (pow x 3)) (taylor inf x) (#s(alt (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) (taylor inf x) (#s(alt (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) (taylor inf x) (#s(alt (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) (taylor inf x) (#s(alt (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (/ 1 x)) x)) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) x) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3))))) x) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) #<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 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 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 x) (/ 1 (pow x 2)))) 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 (pow x 2)) (/ 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 (/ 2 (pow x 3)) (taylor -inf x) (#s(alt (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) (taylor -inf x) (#s(alt (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) (taylor -inf x) (#s(alt (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3))) (taylor -inf x) (#s(alt (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (/ 1 x)) x)) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x)) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))) x)) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) #<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 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 -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 (/ (+ 1 (/ 1 x)) 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 (pow x 2)))) 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>) () ())) ())
Calls

3 calls:

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

simplify152.0ms (1.6%)

Memory
-8.2MiB live, 171.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0118528
1310507
2799482
32550458
47341458
08299450
Stop Event
iter limit
node limit
Counts
60 → 58
Calls
Call 1
Inputs
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/ -2 x)
(/ (- x 2) x)
(/ (- (* x (+ 1 (* -1 x))) 2) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 2) x)
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
-1
(- (* -1 x) 1)
(- (* x (- (* -1 x) 1)) 1)
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1)
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) x)
(/ (- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3))))) x)
(/ 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)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(/ 1 x)
(/ (+ 1 (/ 1 x)) x)
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))) 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))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(/ 1 x)
(/ (+ 1 (/ 1 x)) x)
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))
Outputs
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* -2 (pow x 2)) 2) x)
(fma.f64 x #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -2 binary64))) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- x 2) x)
(/.f64 (-.f64 x #s(literal 2 binary64)) x)
(/ (- (* x (+ 1 (* -1 x))) 2) x)
(-.f64 (/.f64 (-.f64 x #s(literal 2 binary64)) x) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 2) x)
(fma.f64 (-.f64 x #s(literal 1 binary64)) x (/.f64 (-.f64 x #s(literal 2 binary64)) x))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- x 1)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) 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))
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1 x) 1)) 1)
(fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64))
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1)
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 3 binary64)))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) x)
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) #s(literal 1 binary64)) x)
(/ (- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3))))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (/ 1 x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) #s(literal -1 binary64)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x)
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 (/ 1 x)) x)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) #s(literal -1 binary64)) x)
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x))) x)
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64)))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x))
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) #s(literal 1 binary64)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (/ 1 x) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) #s(literal -1 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x)
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 (/ 1 x)) x)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) #s(literal -1 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) #s(literal -1 binary64)) x) #s(literal -1 binary64)) x)

rewrite331.0ms (3.5%)

Memory
9.2MiB live, 263.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01037
01737
19437
2109537
0850834
Stop Event
iter limit
node limit
iter limit
Counts
5 → 412
Calls
Call 1
Inputs
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
Outputs
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eval62.0ms (0.7%)

Memory
0.1MiB live, 123.2MiB allocated
Compiler

Compiled 13 851 to 1 578 computations (88.6% saved)

prune18.0ms (0.2%)

Memory
11.8MiB live, 48.7MiB allocated
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New45713470
Fresh000
Picked011
Done000
Total45714471
Accuracy
98.8%
Counts
471 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
68.0%
(/.f64 (fma.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x) (*.f64 x (-.f64 x #s(literal 1 binary64))))
19.1%
(/.f64 (fma.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))))
19.9%
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))))) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)))
67.9%
(/.f64 (+.f64 x (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))))) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
19.1%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) (fma.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)))))
17.6%
(+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
17.7%
(+.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
22.1%
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
67.9%
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
3.7%
(+.f64 (-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
67.5%
(+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
67.5%
(+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
98.4%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))
5.1%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
Compiler

Compiled 481 to 270 computations (43.9% saved)

simplify188.0ms (2%)

Memory
-11.8MiB live, 222.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff128
(*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))
cost-diff320
(*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))
cost-diff384
(-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))
cost-diff1152
(fma.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)))
cost-diff0
(fma.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x)
cost-diff0
(/.f64 (fma.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x) (*.f64 x (-.f64 x #s(literal 1 binary64))))
cost-diff128
(*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))
cost-diff384
(-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))
cost-diff0
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
cost-diff0
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
cost-diff0
#s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
cost-diff0
(+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
cost-diff0
(/.f64 #s(literal -2 binary64) x)
cost-diff0
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
cost-diff0
(pow.f64 x #s(literal 3 binary64))
cost-diff0
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
cost-diff0
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037285
060264
1112264
2234243
3606243
41662239
55205221
08478217
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
#s(literal 2 binary64)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
x
(+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
#s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
(/.f64 (fma.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x)
(/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64)))
(-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))
x
(*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))
#s(literal 2 binary64)
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 x #s(literal 1 binary64))
(*.f64 x (-.f64 x #s(literal 1 binary64)))
(/.f64 (fma.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)))
(-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))
x
(*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))
#s(literal 2 binary64)
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 x #s(literal 1 binary64))
(*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
(*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))
Outputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
#s(literal 2 binary64)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
x
(+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(-.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
#s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
(/.f64 (fma.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 2 binary64) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(fma.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x)
(fma.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 2 binary64) x))
(/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 x #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) x))
(-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))
(-.f64 #s(literal -2 binary64) x)
x
(*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 x #s(literal 1 binary64))
(-.f64 x #s(literal -1 binary64))
#s(literal 1 binary64)
(-.f64 x #s(literal 1 binary64))
(*.f64 x (-.f64 x #s(literal 1 binary64)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(/.f64 (fma.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)))
#s(literal 2 binary64)
(-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))
(-.f64 #s(literal -2 binary64) x)
x
(*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 x #s(literal 1 binary64))
(-.f64 x #s(literal -1 binary64))
#s(literal 1 binary64)
(-.f64 x #s(literal 1 binary64))
(*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))
(fma.f64 x x x)
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 x x x)
(*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))
(-.f64 (pow.f64 x #s(literal 3 binary64)) x)

localize523.0ms (5.5%)

Memory
-23.6MiB live, 179.3MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))
accuracy0.0859375
(*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))
accuracy0.7694433501780784
(/.f64 (fma.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))))
accuracy61.48622636381565
(fma.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)))
accuracy0
(*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))
accuracy0.00390625
(-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))
accuracy0.109375
(/.f64 (fma.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x) (*.f64 x (-.f64 x #s(literal 1 binary64))))
accuracy60.03334835957763
(fma.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x)
accuracy0.00390625
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
accuracy0.01953125
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
accuracy0.2646380098097046
#s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
accuracy20.550869059918437
(+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
accuracy0
(/.f64 #s(literal -2 binary64) x)
accuracy60.732900550659764
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
accuracy0
(pow.f64 x #s(literal 3 binary64))
accuracy0.2663935082813771
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))
accuracy0.7772558501780784
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
Samples
261.0ms134×2valid
221.0ms120×1valid
0.0ms0valid
Compiler

Compiled 502 to 64 computations (87.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 119.0ms
ival-div: 52.0ms (43.8% of total)
adjust: 22.0ms (18.6% of total)
ival-mult: 20.0ms (16.9% of total)
ival-add: 11.0ms (9.3% of total)
ival-sub: 8.0ms (6.7% of total)
ival-pow: 3.0ms (2.5% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series39.0ms (0.4%)

Memory
27.7MiB live, 27.7MiB allocated
Counts
18 → 216
Calls
Call 1
Inputs
#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (patch (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -2 binary64) x) (patch (/.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())
#s(alt (+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (patch (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (patch (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (patch (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))) (patch (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x) (*.f64 x (-.f64 x #s(literal 1 binary64)))) (patch (/.f64 (fma.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x) (*.f64 x (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x) (patch (fma.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))) (patch (fma.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (patch (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) #<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 (fma.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))) (patch (/.f64 (fma.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())
Outputs
#s(alt (/ -2 x) (taylor 0 x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -2 (pow x 2)) 2) x) (taylor 0 x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) (taylor 0 x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) (taylor 0 x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 3)) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (patch (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 3)) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (patch (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 3)) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (patch (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 3)) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (patch (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ -2 x) (taylor 0 x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -2 (pow x 2)) 2) x) (taylor 0 x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) (taylor 0 x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) (taylor 0 x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ -2 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -2 binary64) x) (patch (/.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -2 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -2 binary64) x) (patch (/.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -2 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -2 binary64) x) (patch (/.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -2 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -2 binary64) x) (patch (/.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -2 x) (taylor 0 x) (#s(alt (+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -2 (pow x 2)) 2) x) (taylor 0 x) (#s(alt (+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) (taylor 0 x) (#s(alt (+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) (taylor 0 x) (#s(alt (+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ -2 x) (taylor 0 x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- x 2) x) (taylor 0 x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x (+ 1 (* -1 x))) 2) x) (taylor 0 x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* x (+ 1 (* x (- x 1)))) 2) x) (taylor 0 x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.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) (/.f64 #s(literal 1 binary64) x)) x) (patch (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 x) 1) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (patch (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 x) 1) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (patch (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 x) 1) (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (patch (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor 0 x) (#s(alt (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (patch (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 x) 1) x) (taylor 0 x) (#s(alt (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (patch (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 x) 1) x) (taylor 0 x) (#s(alt (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (patch (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 x) 1) x) (taylor 0 x) (#s(alt (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (patch (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt -2 (taylor 0 x) (#s(alt (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (patch (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 x) 2) (taylor 0 x) (#s(alt (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (patch (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 x) 2) (taylor 0 x) (#s(alt (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (patch (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 x) 2) (taylor 0 x) (#s(alt (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (patch (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))) (patch (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 2 x)) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))) (patch (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 2 x)) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))) (patch (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 2 x)) (taylor 0 x) (#s(alt (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))) (patch (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
5.0ms
x
@inf
((+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ 2 (pow x 3)) (pow x 3) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ -2 x) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (- (/ 1 (+ x 1)) (/ 2 x)) (/ (- -1 (/ 1 x)) x) (- -1 (/ 1 x)) (- x (* 2 (+ x 1))) (* 2 (+ x 1)) (/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1))) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) (* (* (+ x 1) x) 1) (/ 1 (- x 1)) (/ (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) (* (* (+ x 1) x) (- x 1))) (* (* (+ x 1) x) (- x 1)))
4.0ms
x
@-inf
((+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ 2 (pow x 3)) (pow x 3) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ -2 x) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (- (/ 1 (+ x 1)) (/ 2 x)) (/ (- -1 (/ 1 x)) x) (- -1 (/ 1 x)) (- x (* 2 (+ x 1))) (* 2 (+ x 1)) (/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1))) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) (* (* (+ x 1) x) 1) (/ 1 (- x 1)) (/ (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) (* (* (+ x 1) x) (- x 1))) (* (* (+ x 1) x) (- x 1)))
4.0ms
x
@0
((+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ 2 (pow x 3)) (pow x 3) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ -2 x) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (- (/ 1 (+ x 1)) (/ 2 x)) (/ (- -1 (/ 1 x)) x) (- -1 (/ 1 x)) (- x (* 2 (+ x 1))) (* 2 (+ x 1)) (/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1))) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) (* (* (+ x 1) x) 1) (/ 1 (- x 1)) (/ (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) (* (* (+ x 1) x) (- x 1))) (* (* (+ x 1) x) (- x 1)))

simplify218.0ms (2.3%)

Memory
-3.0MiB live, 152.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01551660
14371613
211401537
336971467
084901426
Stop Event
iter limit
node limit
Counts
216 → 215
Calls
Call 1
Inputs
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/ -2 x)
(/ (- x 2) x)
(/ (- (* x (+ 1 (* -1 x))) 2) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 2) x)
(/ -1 (pow x 2))
(/ (- (* -1 x) 1) (pow x 2))
(/ (- (* -1 x) 1) (pow x 2))
(/ (- (* -1 x) 1) (pow x 2))
(/ -1 x)
(/ (- (* -1 x) 1) x)
(/ (- (* -1 x) 1) x)
(/ (- (* -1 x) 1) x)
-2
(- (* -1 x) 2)
(- (* -1 x) 2)
(- (* -1 x) 2)
2
(+ 2 (* 2 x))
(+ 2 (* 2 x))
(+ 2 (* 2 x))
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -2 x))) 2)))
2
2
2
2
x
(* x (+ 1 x))
(* x (+ 1 x))
(* x (+ 1 x))
-1
(- (* -1 x) 1)
(- (* x (- (* -1 x) 1)) 1)
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1)
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(* -1 x)
(* x (- (pow x 2) 1))
(* x (- (pow x 2) 1))
(* x (- (pow x 2) 1))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) x)
(/ (- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3))))) x)
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(* -1 (/ (+ 1 (/ 1 x)) x))
(* -1 (/ (+ 1 (/ 1 x)) x))
-1
(* -1 (+ 1 (/ 1 x)))
(* -1 (+ 1 (/ 1 x)))
(* -1 (+ 1 (/ 1 x)))
(* -1 x)
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(* 2 x)
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/ 2 x)
(/ (- 2 (* 2 (/ 1 x))) x)
(/ (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))) x)
(/ (- (+ 2 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) x)
2
2
2
2
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(/ 1 x)
(/ (+ 1 (/ 1 x)) x)
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(pow x 3)
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))) x))
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(* -1 (/ (+ 1 (/ 1 x)) x))
(* -1 (/ (+ 1 (/ 1 x)) x))
-1
(* -1 (+ 1 (/ 1 x)))
(* -1 (+ 1 (/ 1 x)))
(* -1 (+ 1 (/ 1 x)))
(* -1 x)
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(* 2 x)
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/ 2 x)
(* -1 (/ (- (* 2 (/ 1 x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 2) x))
2
2
2
2
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(/ 1 x)
(/ (+ 1 (/ 1 x)) x)
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(pow x 3)
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
Outputs
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* -2 (pow x 2)) 2) x)
(fma.f64 x #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -2 binary64))) x)
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* -2 (pow x 2)) 2) x)
(fma.f64 x #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -2 binary64))) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* -2 (pow x 2)) 2) x)
(fma.f64 x #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -2 binary64))) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- x 2) x)
(/.f64 (-.f64 x #s(literal 2 binary64)) x)
(/ (- (* x (+ 1 (* -1 x))) 2) x)
(-.f64 (/.f64 (-.f64 x #s(literal 2 binary64)) x) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 2) x)
(fma.f64 (-.f64 x #s(literal 1 binary64)) x (/.f64 (-.f64 x #s(literal 2 binary64)) x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (* -1 x) 1) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) x)
(/ (- (* -1 x) 1) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) x)
(/ (- (* -1 x) 1) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (* -1 x) 1) x)
(/.f64 (-.f64 #s(literal -1 binary64) x) x)
(/ (- (* -1 x) 1) x)
(/.f64 (-.f64 #s(literal -1 binary64) x) x)
(/ (- (* -1 x) 1) x)
(/.f64 (-.f64 #s(literal -1 binary64) x) x)
-2
#s(literal -2 binary64)
(- (* -1 x) 2)
(-.f64 #s(literal -2 binary64) x)
(- (* -1 x) 2)
(-.f64 #s(literal -2 binary64) x)
(- (* -1 x) 2)
(-.f64 #s(literal -2 binary64) x)
2
#s(literal 2 binary64)
(+ 2 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(+ 2 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(+ 2 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* -2 (pow x 2)) 2) x)
(fma.f64 x #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -2 binary64))) x)
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(+ 2 (* x (- (* 2 x) 2)))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(+ 2 (* x (- (* x (+ 2 (* -2 x))) 2)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
x
(* x (+ 1 x))
(fma.f64 x x x)
(* x (+ 1 x))
(fma.f64 x x x)
(* x (+ 1 x))
(fma.f64 x x x)
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1 x) 1)) 1)
(fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64))
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1)
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* -2 (pow x 2)) 2) x)
(fma.f64 x #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -2 binary64))) x)
(* -1 x)
(neg.f64 x)
(* x (- (pow x 2) 1))
(-.f64 (pow.f64 x #s(literal 3 binary64)) x)
(* x (- (pow x 2) 1))
(-.f64 (pow.f64 x #s(literal 3 binary64)) x)
(* x (- (pow x 2) 1))
(-.f64 (pow.f64 x #s(literal 3 binary64)) x)
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 3 binary64)))
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 3 binary64)))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) x)
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) x)
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) #s(literal 1 binary64)) x)
(/ (- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3))))) x)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)) x) #s(literal 1 binary64)) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) x)
-1
#s(literal -1 binary64)
(* -1 (+ 1 (/ 1 x)))
(/.f64 (-.f64 #s(literal -1 binary64) x) x)
(* -1 (+ 1 (/ 1 x)))
(/.f64 (-.f64 #s(literal -1 binary64) x) x)
(* -1 (+ 1 (/ 1 x)))
(/.f64 (-.f64 #s(literal -1 binary64) x) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(-.f64 #s(literal -2 binary64) x)
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(-.f64 #s(literal -2 binary64) x)
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(-.f64 #s(literal -2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 2 (/ 1 x))))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(* x (+ 2 (* 2 (/ 1 x))))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(* x (+ 2 (* 2 (/ 1 x))))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 3 binary64)))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (- 2 (* 2 (/ 1 x))) x)
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(/ (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)
(/ (- (+ 2 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (/ 1 x)) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x)
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) x)
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 3 binary64)))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(-.f64 (pow.f64 x #s(literal 3 binary64)) x)
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(-.f64 (pow.f64 x #s(literal 3 binary64)) x)
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(-.f64 (pow.f64 x #s(literal 3 binary64)) x)
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) x) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) x) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64)))
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) x) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64)))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) x)
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x))
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) #s(literal 1 binary64)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)) x) #s(literal 1 binary64)) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) x)
-1
#s(literal -1 binary64)
(* -1 (+ 1 (/ 1 x)))
(/.f64 (-.f64 #s(literal -1 binary64) x) x)
(* -1 (+ 1 (/ 1 x)))
(/.f64 (-.f64 #s(literal -1 binary64) x) x)
(* -1 (+ 1 (/ 1 x)))
(/.f64 (-.f64 #s(literal -1 binary64) x) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(-.f64 #s(literal -2 binary64) x)
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(-.f64 #s(literal -2 binary64) x)
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(-.f64 #s(literal -2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 2 (/ 1 x))))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(* x (+ 2 (* 2 (/ 1 x))))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(* x (+ 2 (* 2 (/ 1 x))))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) x) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64)))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(* -1 (/ (- (* 2 (/ 1 x)) 2) x))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 2) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (/ 1 x)) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x) #s(literal -1 binary64)) x)
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) x) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64)))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(-.f64 (pow.f64 x #s(literal 3 binary64)) x)
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(-.f64 (pow.f64 x #s(literal 3 binary64)) x)
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(-.f64 (pow.f64 x #s(literal 3 binary64)) x)

rewrite227.0ms (2.4%)

Memory
14.6MiB live, 198.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037220
060214
1275201
22557201
08406188
Stop Event
iter limit
node limit
iter limit
Counts
18 → 563
Calls
Call 1
Inputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(literal -2 binary64) x)
(+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
#s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))
(/.f64 (fma.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x)
(fma.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)))
(*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(/.f64 (fma.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))))
(*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))
Outputs
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eval397.0ms (4.2%)

Memory
16.0MiB live, 239.4MiB allocated
Compiler

Compiled 22 111 to 2 214 computations (90% saved)

prune181.0ms (1.9%)

Memory
-20.2MiB live, 82.5MiB allocated
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New8496855
Fresh808
Picked415
Done101
Total8627869
Accuracy
100.0%
Counts
869 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.3%
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
98.7%
(/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))))
99.4%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x))
99.4%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)))
98.3%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)))
5.1%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
99.6%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64)))
Compiler

Compiled 104 to 84 computations (19.2% saved)

simplify229.0ms (2.4%)

Memory
14.6MiB live, 163.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff-5056
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)
cost-diff-384
(/.f64 #s(literal 2 binary64) (*.f64 x x))
cost-diff0
(*.f64 x x)
cost-diff0
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x))
cost-diff-5440
(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 #s(literal 2 binary64) x)
cost-diff0
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)))
cost-diff-5824
(*.f64 (*.f64 x x) x)
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))
cost-diff0
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)))
cost-diff-384
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
cost-diff0
(-.f64 x #s(literal 1 binary64))
cost-diff0
(*.f64 x (-.f64 x #s(literal 1 binary64)))
cost-diff0
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64))
cost-diff0
(pow.f64 x #s(literal -3 binary64))
cost-diff0
(*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64))
cost-diff0
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033205
045205
182191
2154183
3300183
4803183
52514183
66305183
08143181
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64))
(pow.f64 x #s(literal -3 binary64))
x
#s(literal -3 binary64)
#s(literal 2 binary64)
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 x (-.f64 x #s(literal 1 binary64)))
x
(-.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))
#s(literal 2 binary64)
(*.f64 (*.f64 x x) x)
(*.f64 x x)
x
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)))
(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(*.f64 x x)
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x))
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)
(/.f64 #s(literal 2 binary64) (*.f64 x x))
#s(literal 2 binary64)
(*.f64 x x)
x
Outputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64)))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -3 binary64))))
(*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -3 binary64)))
(pow.f64 x #s(literal -3 binary64))
x
#s(literal -3 binary64)
#s(literal 2 binary64)
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(/.f64 (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) x) (-.f64 x #s(literal 1 binary64)))
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 x (-.f64 x #s(literal 1 binary64)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
x
(-.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
#s(literal 2 binary64)
(*.f64 (*.f64 x x) x)
(pow.f64 x #s(literal 3 binary64))
(*.f64 x x)
x
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(*.f64 x x)
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
#s(literal 2 binary64)
(*.f64 x x)
x

localize763.0ms (8.1%)

Memory
-26.4MiB live, 375.3MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 x x)
accuracy0.08203125
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)
accuracy0.2663935082813771
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x))
accuracy0.6215262703233827
(/.f64 #s(literal 2 binary64) (*.f64 x x))
accuracy0
(/.f64 #s(literal 2 binary64) x)
accuracy0
(*.f64 x x)
accuracy0.11328125
(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))
accuracy0.2663935082813771
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)))
accuracy0
(*.f64 x x)
accuracy0.09765625
(*.f64 (*.f64 x x) x)
accuracy0.2663935082813771
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)))
accuracy0.7772558501780784
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))
accuracy0
(-.f64 x #s(literal 1 binary64))
accuracy0
(*.f64 x (-.f64 x #s(literal 1 binary64)))
accuracy0.109375
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
accuracy60.648121734532516
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64))
accuracy0
(pow.f64 x #s(literal -3 binary64))
accuracy0.00390625
(*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64))
accuracy0.2663935082813771
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64)))
Samples
657.0ms134×2valid
77.0ms120×1valid
0.0ms0valid
Compiler

Compiled 284 to 49 computations (82.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 664.0ms
ival-add: 496.0ms (74.7% of total)
ival-div: 120.0ms (18.1% of total)
adjust: 23.0ms (3.5% of total)
ival-mult: 14.0ms (2.1% of total)
ival-sub: 7.0ms (1.1% of total)
ival-pow: 3.0ms (0.5% 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
29.0MiB live, 29.0MiB allocated
Counts
17 → 204
Calls
Call 1
Inputs
#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64)) (patch (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal -3 binary64)) (patch (pow.f64 x #s(literal -3 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (patch #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x (-.f64 x #s(literal 1 binary64))) (patch (*.f64 x (-.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(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) (patch (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)) (patch (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())
#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) x) (patch (/.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)) (patch (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)) #<representation binary64>) () ())
#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 2 binary64) (*.f64 x x)) #<representation binary64>) () ())
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Outputs
#s(alt (/ -2 x) (taylor 0 x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) (taylor 0 x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (/ 1 (pow x 3)) (taylor 0 x) (#s(alt (pow.f64 x #s(literal -3 binary64)) (patch (pow.f64 x #s(literal -3 binary64)) #<representation binary64>) () ())) ())
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#s(alt 2 (taylor 0 x) (#s(alt #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (patch #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* x (- x 1)) (taylor 0 x) (#s(alt (*.f64 x (-.f64 x #s(literal 1 binary64))) (patch (*.f64 x (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- x 1)) (taylor 0 x) (#s(alt (*.f64 x (-.f64 x #s(literal 1 binary64))) (patch (*.f64 x (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- x 1)) (taylor 0 x) (#s(alt (*.f64 x (-.f64 x #s(literal 1 binary64))) (patch (*.f64 x (-.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 (- x 1) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ -2 x) (taylor 0 x) (#s(alt (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) (patch (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -2 (pow x 2)) 2) x) (taylor 0 x) (#s(alt (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) (patch (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) (taylor 0 x) (#s(alt (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) (patch (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) (taylor 0 x) (#s(alt (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) (patch (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ -2 x) (taylor 0 x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -2 (pow x 2)) 2) x) (taylor 0 x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) (taylor 0 x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) (taylor 0 x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 3)) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)) (patch (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 3)) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)) (patch (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 3)) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)) (patch (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 3)) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)) (patch (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (/ -2 x) (taylor 0 x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -2 (pow x 2)) 2) x) (taylor 0 x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) (taylor 0 x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) (taylor 0 x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))) #<representation binary64>) () ())) ())
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#s(alt (/ 2 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) x) (patch (/.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 2 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) x) (patch (/.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
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#s(alt (/ 2 (pow x 3)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)) (patch (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 3)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)) (patch (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ -2 x) (taylor 0 x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -2 (pow x 2)) 2) x) (taylor 0 x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) (taylor 0 x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) (taylor 0 x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)) #<representation binary64>) () ())) ())
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#s(alt (/ 2 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
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#s(alt (/ 2 (pow x 3)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x) (patch (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 3)) (taylor inf x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 3)) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) (patch (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) (patch (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) (patch (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3))) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) (patch (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 3)) (taylor -inf x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) (taylor -inf x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) (taylor -inf x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3))) (taylor -inf x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 3)) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)) (patch (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 3)) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)) (patch (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 3)) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)) (patch (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 3)) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)) (patch (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 3)) (taylor -inf x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) (taylor -inf x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) (taylor -inf x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3))) (taylor -inf x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ 2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) x) (patch (/.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) x) (patch (/.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) x) (patch (/.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) x) (patch (/.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 3)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)) (patch (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 3)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)) (patch (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 3)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)) (patch (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 3)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)) (patch (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 3)) (taylor -inf x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3)) (taylor -inf x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3))) (taylor -inf x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3))) (taylor -inf x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 x x)) (patch (/.f64 #s(literal 2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 3)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x) (patch (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 3)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x) (patch (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 3)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x) (patch (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 3)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x) (patch (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
((+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (* (pow x -3) 2) (pow x -3) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1)) (- x 1) (/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1))) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ 2 (* (* x x) x)) (* x x) (* (* x x) x) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ 2 x) (/ (/ 2 x) (* x x)) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ 2 (* x x)) (/ (/ 2 (* x x)) x))
2.0ms
x
@inf
((+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (* (pow x -3) 2) (pow x -3) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1)) (- x 1) (/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1))) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ 2 (* (* x x) x)) (* x x) (* (* x x) x) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ 2 x) (/ (/ 2 x) (* x x)) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ 2 (* x x)) (/ (/ 2 (* x x)) x))
2.0ms
x
@0
((+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (* (pow x -3) 2) (pow x -3) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1)) (- x 1) (/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1))) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ 2 (* (* x x) x)) (* x x) (* (* x x) x) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ 2 x) (/ (/ 2 x) (* x x)) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ 2 (* x x)) (/ (/ 2 (* x x)) x))

simplify194.0ms (2.1%)

Memory
-5.0MiB live, 241.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0891473
12341465
26301421
316991369
468651369
083891349
Stop Event
iter limit
node limit
Counts
204 → 202
Calls
Call 1
Inputs
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -2 x))) 2)))
(* -1 x)
(* x (- x 1))
(* x (- x 1))
(* x (- x 1))
-1
(- x 1)
(- x 1)
(- x 1)
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 2 x)
(/ (- 2 (* 2 (/ 1 x))) x)
(/ (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))) x)
(/ (- (+ 2 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) x)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 1 (pow x 3))
(/ 2 x)
(* -1 (/ (- (* 2 (/ 1 x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 2) x))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
Outputs
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* -2 (pow x 2)) 2) x)
(fma.f64 x #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(fma.f64 (fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64) #s(literal -2 binary64)) x (/.f64 #s(literal -2 binary64) x))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(+ 2 (* x (- (* 2 x) 2)))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(+ 2 (* x (- (* x (+ 2 (* -2 x))) 2)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))
(* -1 x)
(neg.f64 x)
(* x (- x 1))
(fma.f64 x x (neg.f64 x))
(* x (- x 1))
(fma.f64 x x (neg.f64 x))
(* x (- x 1))
(fma.f64 x x (neg.f64 x))
-1
#s(literal -1 binary64)
(- x 1)
(-.f64 x #s(literal 1 binary64))
(- x 1)
(-.f64 x #s(literal 1 binary64))
(- x 1)
(-.f64 x #s(literal 1 binary64))
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* -2 (pow x 2)) 2) x)
(fma.f64 x #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(fma.f64 (fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64) #s(literal -2 binary64)) x (/.f64 #s(literal -2 binary64) x))
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* -2 (pow x 2)) 2) x)
(fma.f64 x #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(fma.f64 (fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64) #s(literal -2 binary64)) x (/.f64 #s(literal -2 binary64) x))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* -2 (pow x 2)) 2) x)
(fma.f64 x #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(fma.f64 (fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64) #s(literal -2 binary64)) x (/.f64 #s(literal -2 binary64) x))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* -2 (pow x 2)) 2) x)
(fma.f64 x #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(fma.f64 (fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64) #s(literal -2 binary64)) x (/.f64 #s(literal -2 binary64) x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (- 2 (* 2 (/ 1 x))) x)
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(/ (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)
(/ (- (+ 2 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 2 binary64)) x) #s(literal -2 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 x)))
(fma.f64 x x (neg.f64 x))
(* (pow x 2) (- 1 (/ 1 x)))
(fma.f64 x x (neg.f64 x))
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))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 3 binary64)))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(* -1 (/ (- (* 2 (/ 1 x)) 2) x))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 2) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 2 binary64)) x) #s(literal -2 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 x)))
(fma.f64 x x (neg.f64 x))
(* (pow x 2) (- 1 (/ 1 x)))
(fma.f64 x x (neg.f64 x))
x
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64)))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))

rewrite157.0ms (1.7%)

Memory
17.5MiB live, 277.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033187
045173
1206173
21936173
08468165
Stop Event
iter limit
node limit
iter limit
Counts
17 → 397
Calls
Call 1
Inputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64))
(pow.f64 x #s(literal -3 binary64))
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64))
(*.f64 x (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))
(*.f64 x x)
(*.f64 (*.f64 x x) x)
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)))
(/.f64 #s(literal 2 binary64) x)
(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)
Outputs
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eval100.0ms (1.1%)

Memory
-32.7MiB live, 255.3MiB allocated
Compiler

Compiled 6 589 to 947 computations (85.6% saved)

prune15.0ms (0.2%)

Memory
14.3MiB live, 53.0MiB allocated
Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New6372639
Fresh011
Picked145
Done011
Total6388646
Accuracy
100.0%
Counts
646 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.3%
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #s(approx (* x (- x 1)) (*.f64 x x)))
98.7%
(/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))))
99.4%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x))
99.4%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x))
99.4%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)))
98.3%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)))
5.1%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
99.6%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64)))
Compiler

Compiled 61 to 49 computations (19.7% saved)

simplify192.0ms (2%)

Memory
17.2MiB live, 217.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
#s(approx (* x (- x 1)) (*.f64 x x))
cost-diff0
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64))
cost-diff0
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #s(approx (* x (- x 1)) (*.f64 x x)))
cost-diff0
(+.f64 x #s(literal 1 binary64))
cost-diff0
#s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64))
cost-diff0
(/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))))
cost-diff128
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
cost-diff-5056
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)
cost-diff0
(/.f64 #s(literal 2 binary64) x)
cost-diff0
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
cost-diff0
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034177
044173
188173
2201155
3533155
41595149
54968121
08508118
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x))
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))))
#s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(-.f64 x #s(literal 1 binary64))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #s(approx (* x (- x 1)) (*.f64 x x)))
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (* x (- x 1)) (*.f64 x x))
(*.f64 x x)
x
Outputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) x))
#s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))
(-.f64 (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 x x x)
(+.f64 x #s(literal 1 binary64))
(-.f64 x #s(literal -1 binary64))
x
#s(literal 1 binary64)
(-.f64 x #s(literal 1 binary64))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #s(approx (* x (- x 1)) (*.f64 x x)))
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (* x (- x 1)) (*.f64 x x))
(*.f64 x x)
x

localize741.0ms (7.8%)

Memory
-26.7MiB live, 208.3MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 x x)
accuracy0.109375
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #s(approx (* x (- x 1)) (*.f64 x x)))
accuracy0.6157600367836378
#s(approx (* x (- x 1)) (*.f64 x x))
accuracy60.648121734532516
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64))
accuracy0
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
accuracy0
#s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64))
accuracy0.0859375
(*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))
accuracy0.7694433501780784
(/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))))
accuracy0
(/.f64 #s(literal 2 binary64) x)
accuracy0.08203125
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)
accuracy0.1171875
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
accuracy0.2663935082813771
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x))
Samples
251.0ms134×2valid
150.0ms120×1valid
0.0ms0valid
Compiler

Compiled 235 to 45 computations (80.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 272.0ms
ival-div: 183.0ms (67.3% of total)
ival-add: 42.0ms (15.5% of total)
ival-mult: 22.0ms (8.1% of total)
adjust: 18.0ms (6.6% of total)
ival-sub: 7.0ms (2.6% 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
16.5MiB live, 16.5MiB allocated
Counts
13 → 156
Calls
Call 1
Inputs
#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal 2 binary64) x) x) (patch (/.f64 (/.f64 #s(literal 2 binary64) x) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 2 binary64) x) (patch (/.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x) (patch (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x) #<representation binary64>) () ())
#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) x) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))) (patch (/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (patch #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #s(approx (* x (- x 1)) (*.f64 x x))) (patch (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #s(approx (* x (- x 1)) (*.f64 x x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (patch #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* x (- x 1)) (*.f64 x x)) (patch #s(approx (* x (- x 1)) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())
Outputs
#s(alt (/ -2 x) (taylor 0 x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)) #<representation binary64>) () ())) ())
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#s(alt (/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) (taylor 0 x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) (taylor 0 x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 2 binary64) x) x) (patch (/.f64 (/.f64 #s(literal 2 binary64) x) x) #<representation binary64>) () ())) ())
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#s(alt (/ 2 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal 2 binary64) x) x) (patch (/.f64 (/.f64 #s(literal 2 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (/ 2 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) x) (patch (/.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 2 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) x) (patch (/.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 2 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 2 binary64) x) (patch (/.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
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#s(alt (/ 2 (pow x 3)) (taylor 0 x) (#s(alt (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x) (patch (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x) #<representation binary64>) () ())) ())
#s(alt (/ 2 (pow x 3)) (taylor 0 x) (#s(alt (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x) (patch (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x) #<representation binary64>) () ())) ())
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#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt (*.f64 (+.f64 x #s(literal 1 binary64)) x) (patch (*.f64 (+.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ -2 x) (taylor 0 x) (#s(alt (/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))) (patch (/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -2 (pow x 2)) 2) x) (taylor 0 x) (#s(alt (/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))) (patch (/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) (taylor 0 x) (#s(alt (/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))) (patch (/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) (taylor 0 x) (#s(alt (/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))) (patch (/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 x) (#s(alt #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (patch #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
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#s(alt 2 (taylor 0 x) (#s(alt #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (patch #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 x) (#s(alt #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (patch #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 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 (/ -2 x) (taylor 0 x) (#s(alt (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #s(approx (* x (- x 1)) (*.f64 x x))) (patch (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #s(approx (* x (- x 1)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -2 (pow x 2)) 2) x) (taylor 0 x) (#s(alt (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #s(approx (* x (- x 1)) (*.f64 x x))) (patch (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #s(approx (* x (- x 1)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x) (taylor 0 x) (#s(alt (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #s(approx (* x (- x 1)) (*.f64 x x))) (patch (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #s(approx (* x (- x 1)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x) (taylor 0 x) (#s(alt (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #s(approx (* x (- x 1)) (*.f64 x x))) (patch (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #s(approx (* x (- x 1)) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 x) (#s(alt #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (patch #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (+ 2 (* x (- (* 2 x) 2))) (taylor 0 x) (#s(alt #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (patch #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* x (- (* x (+ 2 (* -2 x))) 2))) (taylor 0 x) (#s(alt #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (patch #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt #s(approx (* x (- x 1)) (*.f64 x x)) (patch #s(approx (* x (- x 1)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* x (- x 1)) (taylor 0 x) (#s(alt #s(approx (* x (- x 1)) (*.f64 x x)) (patch #s(approx (* x (- x 1)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* x (- x 1)) (taylor 0 x) (#s(alt #s(approx (* x (- x 1)) (*.f64 x x)) (patch #s(approx (* x (- x 1)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* x (- x 1)) (taylor 0 x) (#s(alt #s(approx (* x (- x 1)) (*.f64 x x)) (patch #s(approx (* x (- x 1)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
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#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
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#s(alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3)) (taylor inf x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3)) (taylor inf x) (#s(alt #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)) (patch #s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (* x (- x 1)) (*.f64 x x)) (patch #s(approx (* x (- x 1)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (* x (- x 1)) (*.f64 x x)) (patch #s(approx (* x (- x 1)) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) (patch (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
((+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ (/ 2 x) x) (/ 2 x) (/ (/ (/ 2 x) x) x) (* (+ x 1) x) (/ (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) (* (* (+ x 1) x) (- x 1))) (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) (+ x 1) (/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1))) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1)) (* x x) (* (* (+ x 1) x) (- x 1)))
2.0ms
x
@inf
((+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ (/ 2 x) x) (/ 2 x) (/ (/ (/ 2 x) x) x) (* (+ x 1) x) (/ (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) (* (* (+ x 1) x) (- x 1))) (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) (+ x 1) (/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1))) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1)) (* x x) (* (* (+ x 1) x) (- x 1)))
2.0ms
x
@0
((+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ (/ 2 x) x) (/ 2 x) (/ (/ (/ 2 x) x) x) (* (+ x 1) x) (/ (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) (* (* (+ x 1) x) (- x 1))) (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) (+ x 1) (/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1))) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1)) (* x x) (* (* (+ x 1) x) (- x 1)))

simplify262.0ms (2.8%)

Memory
3.2MiB live, 164.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0971014
1266979
2699957
32855922
47740922
08235899
Stop Event
iter limit
node limit
Counts
156 → 153
Calls
Call 1
Inputs
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
x
(* x (+ 1 x))
(* x (+ 1 x))
(* x (+ 1 x))
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
2
2
2
2
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -2 x))) 2)))
(* -1 x)
(* x (- x 1))
(* x (- x 1))
(* x (- x 1))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1 x)
(* x (- (pow x 2) 1))
(* x (- (pow x 2) 1))
(* x (- (pow x 2) 1))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
2
2
2
2
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/ 2 x)
(/ (- 2 (* 2 (/ 1 x))) x)
(/ (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))) x)
(/ (- (+ 2 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) x)
(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 3)
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 (pow x 2))
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(/ 2 (pow x 3))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
2
2
2
2
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/ 2 x)
(* -1 (/ (- (* 2 (/ 1 x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 2) x))
(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 3)
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
Outputs
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* -2 (pow x 2)) 2) x)
(fma.f64 x #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -2 binary64))) x)
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
x
(* x (+ 1 x))
(fma.f64 x x x)
(* x (+ 1 x))
(fma.f64 x x x)
(* x (+ 1 x))
(fma.f64 x x x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* -2 (pow x 2)) 2) x)
(fma.f64 x #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -2 binary64))) x)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
1
#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)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* -2 (pow x 2)) 2) x)
(fma.f64 x #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -2 binary64))) x)
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64))
(+ 2 (* x (- (* 2 x) 2)))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(+ 2 (* x (- (* x (+ 2 (* -2 x))) 2)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal -2 binary64) #s(literal 2 binary64)))
(* -1 x)
(neg.f64 x)
(* x (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* x (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* x (- x 1))
(*.f64 (-.f64 x #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)
(* -1 x)
(neg.f64 x)
(* x (- (pow x 2) 1))
(-.f64 (pow.f64 x #s(literal 3 binary64)) x)
(* x (- (pow x 2) 1))
(-.f64 (pow.f64 x #s(literal 3 binary64)) x)
(* x (- (pow x 2) 1))
(-.f64 (pow.f64 x #s(literal 3 binary64)) x)
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/.f64 (+.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/.f64 (+.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 3 binary64)))
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
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)
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/.f64 (+.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 3 binary64)))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (- 2 (* 2 (/ 1 x))) x)
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(/ (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)
(/ (- (+ 2 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #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 3)
(pow.f64 x #s(literal 3 binary64))
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(-.f64 (pow.f64 x #s(literal 3 binary64)) x)
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(-.f64 (pow.f64 x #s(literal 3 binary64)) x)
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(-.f64 (pow.f64 x #s(literal 3 binary64)) x)
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64)))
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
2
#s(literal 2 binary64)
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)
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64)))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(* -1 (/ (- (* 2 (/ 1 x)) 2) x))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 2) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #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 3)
(pow.f64 x #s(literal 3 binary64))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(-.f64 (pow.f64 x #s(literal 3 binary64)) x)
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(-.f64 (pow.f64 x #s(literal 3 binary64)) x)
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(-.f64 (pow.f64 x #s(literal 3 binary64)) x)

rewrite273.0ms (2.9%)

Memory
-9.1MiB live, 185.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034167
044163
1214155
22122155
08461141
Stop Event
iter limit
node limit
iter limit
Counts
13 → 378
Calls
Call 1
Inputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(/.f64 #s(literal 2 binary64) x)
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
(/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))))
#s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64))
(+.f64 x #s(literal 1 binary64))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #s(approx (* x (- x 1)) (*.f64 x x)))
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64))
#s(approx (* x (- x 1)) (*.f64 x x))
(*.f64 x x)
(*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))
Outputs
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eval149.0ms (1.6%)

Memory
10.5MiB live, 96.6MiB allocated
Compiler

Compiled 7 622 to 1 384 computations (81.8% saved)

prune38.0ms (0.4%)

Memory
-21.3MiB live, 54.8MiB allocated
Pruning

11 alts after pruning (4 fresh and 7 done)

PrunedKeptTotal
New5274531
Fresh000
Picked123
Done055
Total52811539
Accuracy
100.0%
Counts
539 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(/.f64 (/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
52.3%
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #s(approx (* x (- x 1)) (*.f64 x x)))
89.0%
(/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (/.f64 (*.f64 (fma.f64 x x x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)))
98.7%
(/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64))))
98.7%
(/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
99.4%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x))
99.4%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x))
99.4%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)))
98.3%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)))
5.1%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
99.6%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64)))
Compiler

Compiled 458 to 169 computations (63.1% saved)

regimes15.0ms (0.2%)

Memory
33.8MiB live, 33.8MiB allocated
Counts
26 → 1
Calls
Call 1
Inputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #s(approx (* x (- x 1)) (*.f64 x x)))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)))
(/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64))))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x))
(/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))))
(+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(+.f64 (-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x))
(/.f64 (/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (/.f64 (*.f64 (fma.f64 x x x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(+.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(/.f64 (+.f64 x (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))))) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))))) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)))
(/.f64 (fma.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) (fma.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)))))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64)))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))
Outputs
(/.f64 (/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
Calls

2 calls:

8.0ms
x
6.0ms
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes12.0ms (0.1%)

Memory
-27.9MiB live, 18.2MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #s(approx (* x (- x 1)) (*.f64 x x)))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)))
(/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64))))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x))
(/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))))
(+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(+.f64 (-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x))
Outputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x))
Calls

2 calls:

7.0ms
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
4.0ms
x
Results
AccuracySegmentsBranch
99.4%1x
99.4%1(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes8.0ms (0.1%)

Memory
19.3MiB live, 19.3MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #s(approx (* x (- x 1)) (*.f64 x x)))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)))
(/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64))))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x))
(/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))))
(+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(+.f64 (-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Outputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)))
Calls

2 calls:

4.0ms
x
3.0ms
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
99.4%1x
99.4%1(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes8.0ms (0.1%)

Memory
-25.3MiB live, 12.2MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #s(approx (* x (- x 1)) (*.f64 x x)))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)))
(/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64))))
Outputs
(/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64))))
Calls

2 calls:

6.0ms
x
2.0ms
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
98.7%1x
98.7%1(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes5.0ms (0.1%)

Memory
11.5MiB live, 11.5MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #s(approx (* x (- x 1)) (*.f64 x x)))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)))
(/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
Outputs
(/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
Calls

2 calls:

2.0ms
x
2.0ms
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
98.7%1x
98.7%1(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes4.0ms (0%)

Memory
9.7MiB live, 9.7MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #s(approx (* x (- x 1)) (*.f64 x x)))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)))
Outputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)))
Calls

2 calls:

2.0ms
x
2.0ms
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
98.3%1x
98.3%1(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes4.0ms (0%)

Memory
8.8MiB live, 8.8MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #s(approx (* x (- x 1)) (*.f64 x x)))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
Outputs
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #s(approx (* x (- x 1)) (*.f64 x x)))
Calls

2 calls:

2.0ms
x
2.0ms
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
52.3%1x
52.3%1(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes6.0ms (0.1%)

Memory
-31.9MiB live, 6.6MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
Outputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
Calls

2 calls:

4.0ms
x
1.0ms
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
5.1%1x
5.1%1(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 16 to 11 computations (31.3% saved)

simplify25.0ms (0.3%)

Memory
12.5MiB live, 51.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049206
159206
262206
366206
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)))
(/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #s(approx (* x (- x 1)) (*.f64 x x)))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
Outputs
(/.f64 (/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)))
(/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) #s(literal 2 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #s(approx (* x (- x 1)) (*.f64 x x)))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))

soundness1.2s (12.5%)

Memory
-0.3MiB live, 965.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037220
060214
1275201
22557201
08406188
0118528
1310507
2799482
32550458
47341458
08299450
01037
01737
19437
2109537
0850834
0891473
12341465
26301421
316991369
468651369
083891349
033187
045173
1206173
21936173
08468165
034167
044163
1214155
22122155
08461141
01551660
14371613
211401537
336971467
084901426
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 355 to 204 computations (42.5% saved)

preprocess78.0ms (0.8%)

Memory
17.8MiB live, 137.6MiB allocated
Remove

(negabs x)

Compiler

Compiled 206 to 116 computations (43.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...