Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, E

Time bar (total: 6.3s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 11 to 9 computations (18.2% saved)

sample714.0ms (11.3%)

Memory
-0.2MiB live, 1 074.3MiB allocated
Samples
403.0ms7 663×0valid
46.0ms328×1valid
29.0ms265×2valid
Precisions
Click to see histograms. Total time spent on operations: 296.0ms
ival-mult: 221.0ms (74.6% of total)
ival-sub: 50.0ms (16.9% of total)
adjust: 9.0ms (3% of total)
exact: 7.0ms (2.4% of total)
ival-true: 6.0ms (2% of total)
ival-assert: 3.0ms (1% of total)
Bogosity

explain115.0ms (1.8%)

Memory
8.3MiB live, 123.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))))
00-0-(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
00-0-#s(literal 2 binary64)
00-0-#s(literal 3 binary64)
00-0-(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
00-0-(*.f64 x #s(literal 3 binary64))
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
56.0ms426×0valid
6.0ms46×1valid
5.0ms40×2valid
Compiler

Compiled 68 to 25 computations (63.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-mult: 48.0ms (89% of total)
ival-sub: 3.0ms (5.6% of total)
adjust: 1.0ms (1.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess69.0ms (1.1%)

Memory
10.8MiB live, 52.4MiB allocated
Algorithm
egg-herbie
Rules
776×lower-fma.f64
776×lower-fma.f32
480×lower-*.f32
474×lower-*.f64
238×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
13318
29714
333214
492314
5133314
6134414
7134814
8134814
079
0119
1219
2467
3997
41967
52857
63807
75817
86827
97697
109437
1110207
1210207
1310207
010206
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
Outputs
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
Compiler

Compiled 10 to 7 computations (30% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
Compiler

Compiled 10 to 7 computations (30% saved)

simplify34.0ms (0.5%)

Memory
3.3MiB live, 41.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x #s(literal 3 binary64))
cost-diff0
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
cost-diff128
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
cost-diff320
(*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))))
Rules
776×lower-fma.f64
776×lower-fma.f32
480×lower-*.f32
474×lower-*.f64
218×cancel-sign-sub-inv
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0727
01127
12127
24623
39923
419623
528523
638023
758123
868223
976923
1094323
11102023
12102023
13102023
0102020
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
(*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))))
#s(literal 3 binary64)
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
#s(literal 2 binary64)
(*.f64 x #s(literal 3 binary64))
x
Outputs
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
#s(literal 3 binary64)
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 x #s(literal 3 binary64))
x

localize23.0ms (0.4%)

Memory
12.9MiB live, 51.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 x #s(literal 3 binary64))
accuracy0.0703125
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
accuracy0.16015625
(*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))))
accuracy0.1640625
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
Samples
13.0ms213×0valid
2.0ms20×2valid
2.0ms23×1valid
Compiler

Compiled 29 to 9 computations (69% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 5.0ms (62.3% of total)
ival-sub: 2.0ms (24.9% of total)
adjust: 1.0ms (12.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
-30.2MiB live, 8.6MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#s(alt (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) (patch (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))) (patch (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) (patch (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())
Outputs
#s(alt 6 (taylor 0 x) (#s(alt (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) (patch (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 6 (* -9 x)) (taylor 0 x) (#s(alt (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) (patch (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 6 (* -9 x)) (taylor 0 x) (#s(alt (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) (patch (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 6 (* -9 x)) (taylor 0 x) (#s(alt (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) (patch (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 x) (#s(alt (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))) (patch (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* -3 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))) (patch (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* -3 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))) (patch (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* -3 x)) (taylor 0 x) (#s(alt (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))) (patch (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 6 x) (taylor 0 x) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) (patch (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) (patch (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) (patch (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) (patch (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -9 x) (taylor inf x) (#s(alt (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) (patch (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 6 (/ 1 x)) 9)) (taylor inf x) (#s(alt (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) (patch (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 6 (/ 1 x)) 9)) (taylor inf x) (#s(alt (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) (patch (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 6 (/ 1 x)) 9)) (taylor inf x) (#s(alt (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) (patch (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -3 x) (taylor inf x) (#s(alt (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))) (patch (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 2 (/ 1 x)) 3)) (taylor inf x) (#s(alt (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))) (patch (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 2 (/ 1 x)) 3)) (taylor inf x) (#s(alt (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))) (patch (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* 2 (/ 1 x)) 3)) (taylor inf x) (#s(alt (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))) (patch (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -9 (pow x 2)) (taylor inf x) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) (patch (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor inf x) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) (patch (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor inf x) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) (patch (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor inf x) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) (patch (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -9 x) (taylor -inf x) (#s(alt (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) (patch (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 9 (* 6 (/ 1 x))))) (taylor -inf x) (#s(alt (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) (patch (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 9 (* 6 (/ 1 x))))) (taylor -inf x) (#s(alt (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) (patch (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 9 (* 6 (/ 1 x))))) (taylor -inf x) (#s(alt (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) (patch (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -3 x) (taylor -inf x) (#s(alt (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))) (patch (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 3 (* 2 (/ 1 x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))) (patch (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 3 (* 2 (/ 1 x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))) (patch (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 3 (* 2 (/ 1 x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))) (patch (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -9 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) (patch (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) (patch (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) (patch (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) (patch (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 3 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 3 binary64)) (patch (*.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@inf
((* 3 (- 2 (* x 3))) (- 2 (* x 3)) (* (* 3 (- 2 (* x 3))) x) (* x 3))
1.0ms
x
@-inf
((* 3 (- 2 (* x 3))) (- 2 (* x 3)) (* (* 3 (- 2 (* x 3))) x) (* x 3))
1.0ms
x
@0
((* 3 (- 2 (* x 3))) (- 2 (* x 3)) (* (* 3 (- 2 (* x 3))) x) (* x 3))

simplify108.0ms (1.7%)

Memory
25.0MiB live, 107.3MiB allocated
Algorithm
egg-herbie
Rules
3 650×lower-*.f64
3 650×lower-*.f32
3 012×lower-fma.f64
3 012×lower-fma.f32
1 366×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032216
182216
2169216
3406216
4986216
51305216
62534216
74986216
86846216
97939216
08285189
Stop Event
iter limit
node limit
Counts
48 → 48
Calls
Call 1
Inputs
6
(+ 6 (* -9 x))
(+ 6 (* -9 x))
(+ 6 (* -9 x))
2
(+ 2 (* -3 x))
(+ 2 (* -3 x))
(+ 2 (* -3 x))
(* 6 x)
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* -9 x)
(* x (- (* 6 (/ 1 x)) 9))
(* x (- (* 6 (/ 1 x)) 9))
(* x (- (* 6 (/ 1 x)) 9))
(* -3 x)
(* x (- (* 2 (/ 1 x)) 3))
(* x (- (* 2 (/ 1 x)) 3))
(* x (- (* 2 (/ 1 x)) 3))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* -9 x)
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -3 x)
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
Outputs
6
#s(literal 6 binary64)
(+ 6 (* -9 x))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(+ 6 (* -9 x))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(+ 6 (* -9 x))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
2
#s(literal 2 binary64)
(+ 2 (* -3 x))
(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
(+ 2 (* -3 x))
(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
(+ 2 (* -3 x))
(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(* -3 x)
(*.f64 #s(literal -3 binary64) x)
(* x (- (* 2 (/ 1 x)) 3))
(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
(* x (- (* 2 (/ 1 x)) 3))
(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
(* x (- (* 2 (/ 1 x)) 3))
(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
(* -9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -9 binary64))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* -9 x)
(*.f64 x #s(literal -9 binary64))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(* -3 x)
(*.f64 #s(literal -3 binary64) x)
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
(* -9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -9 binary64))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)

rewrite304.0ms (4.8%)

Memory
8.1MiB live, 357.5MiB allocated
Rules
15 340×lower-fma.f64
15 340×lower-fma.f32
4 142×lower-*.f32
4 136×lower-*.f64
3 486×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0724
01124
13524
221020
3172820
0954617
Stop Event
iter limit
node limit
iter limit
Counts
4 → 850
Calls
Call 1
Inputs
(*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))))
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
(*.f64 x #s(literal 3 binary64))
Outputs
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -9 binary64) (*.f64 x x) #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 x x) x) #s(literal 8 binary64))) (fma.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x #s(literal 4 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -9 binary64) (*.f64 x x) #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal -9 binary64) (*.f64 x x) #s(literal 4 binary64))) (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 x x) x) #s(literal 8 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 (*.f64 #s(literal 9 binary64) x) x) (fma.f64 #s(literal -9 binary64) (*.f64 x x) #s(literal 4 binary64))))) (fma.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x #s(literal 4 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 x x) x) #s(literal 8 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 9 binary64) x) x) (fma.f64 #s(literal -9 binary64) (*.f64 x x) #s(literal 4 binary64))) (*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x) #s(literal 64 binary64))) (fma.f64 (*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x) (fma.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x #s(literal -4 binary64)) #s(literal 16 binary64)))
(*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal -9 binary64) (*.f64 x x) #s(literal 4 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))))
(*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 x x) x) #s(literal 8 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x #s(literal 4 binary64))))
(*.f64 (*.f64 #s(literal 3 binary64) (neg.f64 (fma.f64 #s(literal -9 binary64) (*.f64 x x) #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 3 binary64) (neg.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 x x) x) #s(literal 8 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x #s(literal 4 binary64))))
(*.f64 (-.f64 #s(literal 36 binary64) (*.f64 #s(literal 81 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 6 binary64) (*.f64 #s(literal -9 binary64) x))))
(*.f64 (+.f64 #s(literal 216 binary64) (*.f64 #s(literal -729 binary64) (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 36 binary64) (fma.f64 #s(literal 81 binary64) (*.f64 x x) (*.f64 #s(literal -6 binary64) (*.f64 #s(literal -9 binary64) x))))))
(*.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -9 binary64) (*.f64 x x) #s(literal 4 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))))
(*.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 x x) x) #s(literal 8 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x #s(literal 4 binary64))))
(*.f64 (*.f64 (fma.f64 #s(literal -9 binary64) (*.f64 x x) #s(literal 4 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64))))
(*.f64 (*.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 x x) x) #s(literal 8 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x #s(literal 4 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))
(*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64))
(*.f64 (fma.f64 #s(literal -9 binary64) (*.f64 x x) #s(literal 4 binary64)) (/.f64 #s(literal -3 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64))))
(*.f64 (fma.f64 #s(literal -9 binary64) (*.f64 x x) #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64))) #s(literal 3 binary64)))
(*.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 x x) x) #s(literal 8 binary64)) (/.f64 #s(literal 3 binary64) (fma.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x #s(literal 4 binary64))))
(*.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 x x) x) #s(literal 8 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x #s(literal 4 binary64))) #s(literal 3 binary64)))
(*.f64 #s(literal 3 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 81 binary64) (*.f64 x x)) #s(literal 36 binary64)) (-.f64 (*.f64 #s(literal -9 binary64) x) #s(literal 6 binary64)))
(/.f64 (fma.f64 #s(literal -729 binary64) (*.f64 (*.f64 x x) x) #s(literal 216 binary64)) (fma.f64 #s(literal 81 binary64) (*.f64 x x) (-.f64 #s(literal 36 binary64) (*.f64 (*.f64 #s(literal -9 binary64) x) #s(literal 6 binary64)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (fma.f64 #s(literal -9 binary64) (*.f64 x x) #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 (neg.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 x x) x) #s(literal 8 binary64))) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x #s(literal 4 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 3 binary64) (neg.f64 (fma.f64 #s(literal -9 binary64) (*.f64 x x) #s(literal 4 binary64))))) (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 3 binary64) (neg.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 x x) x) #s(literal 8 binary64))))) (fma.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x #s(literal 4 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 36 binary64) (*.f64 #s(literal 81 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 6 binary64) (*.f64 #s(literal -9 binary64) x))))
(/.f64 (neg.f64 (+.f64 #s(literal 216 binary64) (*.f64 #s(literal -729 binary64) (*.f64 (*.f64 x x) x)))) (neg.f64 (+.f64 #s(literal 36 binary64) (fma.f64 #s(literal 81 binary64) (*.f64 x x) (*.f64 #s(literal -6 binary64) (*.f64 #s(literal -9 binary64) x))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -9 binary64) (*.f64 x x) #s(literal 4 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 x x) x) #s(literal 8 binary64)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x #s(literal 4 binary64)))
(/.f64 (/.f64 (*.f64 (fma.f64 #s(literal -9 binary64) (*.f64 x x) #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal -9 binary64) (*.f64 x x) #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64))))
(/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal -9 binary64) (*.f64 x x) #s(literal 4 binary64))) #s(literal 3 binary64)) (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64)))
(/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 x x) x) #s(literal 8 binary64))) #s(literal 3 binary64)) (neg.f64 (fma.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x #s(literal 4 binary64))))
(/.f64 (*.f64 #s(literal 3 binary64) (neg.f64 (fma.f64 #s(literal -9 binary64) (*.f64 x x) #s(literal 4 binary64)))) (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64)))
(/.f64 (*.f64 #s(literal 3 binary64) (neg.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 x x) x) #s(literal 8 binary64)))) (neg.f64 (fma.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x #s(literal 4 binary64))))
(/.f64 (-.f64 #s(literal 36 binary64) (*.f64 #s(literal 81 binary64) (*.f64 x x))) (-.f64 #s(literal 6 binary64) (*.f64 #s(literal -9 binary64) x)))
(/.f64 (+.f64 #s(literal 216 binary64) (*.f64 #s(literal -729 binary64) (*.f64 (*.f64 x x) x))) (+.f64 #s(literal 36 binary64) (fma.f64 #s(literal 81 binary64) (*.f64 x x) (*.f64 #s(literal -6 binary64) (*.f64 #s(literal -9 binary64) x)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -9 binary64) (*.f64 x x) #s(literal 4 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64)))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 x x) x) #s(literal 8 binary64)) #s(literal 3 binary64))) (neg.f64 (fma.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x #s(literal 4 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal -9 binary64) (*.f64 x x) #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 x x) x) #s(literal 8 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x #s(literal 4 binary64)))
(/.f64 #s(literal -3 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64)) (*.f64 (neg.f64 (fma.f64 #s(literal -9 binary64) (*.f64 x x) #s(literal 4 binary64))) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x #s(literal 4 binary64))) (*.f64 (neg.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 x x) x) #s(literal 8 binary64))) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) (neg.f64 (fma.f64 #s(literal -9 binary64) (*.f64 x x) #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x #s(literal 4 binary64))) (*.f64 #s(literal 3 binary64) (neg.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 x x) x) #s(literal 8 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 6 binary64) (*.f64 #s(literal -9 binary64) x)) (-.f64 #s(literal 36 binary64) (*.f64 #s(literal 81 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 36 binary64) (fma.f64 #s(literal 81 binary64) (*.f64 x x) (*.f64 #s(literal -6 binary64) (*.f64 #s(literal -9 binary64) x)))) (+.f64 #s(literal 216 binary64) (*.f64 #s(literal -729 binary64) (*.f64 (*.f64 x x) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64))) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))))
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64))))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(fma.f64 #s(literal -3 binary64) (*.f64 x #s(literal 3 binary64)) #s(literal 6 binary64))
(fma.f64 #s(literal 9 binary64) (neg.f64 x) #s(literal 6 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 9 binary64) x) #s(literal 6 binary64))
(fma.f64 (neg.f64 x) #s(literal 9 binary64) #s(literal 6 binary64))
(fma.f64 (*.f64 #s(literal -3 binary64) x) #s(literal 3 binary64) #s(literal 6 binary64))
(fma.f64 (*.f64 x #s(literal 3 binary64)) #s(literal -3 binary64) #s(literal 6 binary64))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(fma.f64 #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) x) #s(literal 6 binary64))
(-.f64 (/.f64 #s(literal 36 binary64) (-.f64 #s(literal 6 binary64) (*.f64 #s(literal -9 binary64) x))) (/.f64 (*.f64 #s(literal 81 binary64) (*.f64 x x)) (-.f64 #s(literal 6 binary64) (*.f64 #s(literal -9 binary64) x))))
(-.f64 #s(literal 6 binary64) (*.f64 #s(literal 9 binary64) x))
(+.f64 (*.f64 #s(literal -9 binary64) x) #s(literal 6 binary64))
(+.f64 #s(literal 6 binary64) (*.f64 #s(literal -9 binary64) x))
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(-.f64 (/.f64 (*.f64 #s(literal -729 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) (fma.f64 (*.f64 #s(literal 81 binary64) (*.f64 x x)) (*.f64 x x) (fma.f64 #s(literal 36 binary64) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 9 binary64) x) x) (*.f64 #s(literal -6 binary64) x))))) (/.f64 (*.f64 #s(literal -216 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 #s(literal 81 binary64) (*.f64 x x)) (*.f64 x x) (fma.f64 #s(literal 36 binary64) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 9 binary64) x) x) (*.f64 #s(literal -6 binary64) x))))))
(-.f64 (/.f64 (*.f64 #s(literal -729 binary64) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x))) (fma.f64 (*.f64 #s(literal 81 binary64) (*.f64 x x)) (*.f64 x x) (*.f64 (*.f64 #s(literal 6 binary64) x) (*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)))) (/.f64 (*.f64 #s(literal -216 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 #s(literal 81 binary64) (*.f64 x x)) (*.f64 x x) (*.f64 (*.f64 #s(literal 6 binary64) x) (*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)))))
(-.f64 (/.f64 (*.f64 #s(literal 36 binary64) (*.f64 x x)) (*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)) (/.f64 (*.f64 (*.f64 #s(literal 81 binary64) (*.f64 x x)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)))
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 81 binary64) (*.f64 x x)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)) (/.f64 (*.f64 #s(literal 36 binary64) (*.f64 x x)) (*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)))
(-.f64 (*.f64 #s(literal 6 binary64) x) (*.f64 #s(literal -9 binary64) (*.f64 x x)))
(-.f64 (*.f64 #s(literal 6 binary64) x) (*.f64 (*.f64 #s(literal 9 binary64) x) x))
(-.f64 (*.f64 (*.f64 #s(literal 9 binary64) x) x) (*.f64 #s(literal -6 binary64) x))
(-.f64 (*.f64 (*.f64 #s(literal 9 binary64) x) x) (*.f64 #s(literal 6 binary64) x))
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 81 binary64) (*.f64 x x)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)) (neg.f64 (/.f64 (*.f64 #s(literal 36 binary64) (*.f64 x x)) (*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x))))
(+.f64 (*.f64 #s(literal -9 binary64) (*.f64 x x)) (*.f64 #s(literal 6 binary64) x))
(+.f64 (*.f64 #s(literal 6 binary64) x) (*.f64 (neg.f64 (*.f64 (*.f64 #s(literal -3 binary64) x) #s(literal -3 binary64))) x))
(+.f64 (*.f64 #s(literal 6 binary64) x) (*.f64 (neg.f64 (*.f64 (*.f64 #s(literal -3 binary64) x) #s(literal -1 binary64))) (*.f64 x #s(literal 3 binary64))))
(+.f64 (*.f64 #s(literal 6 binary64) x) (*.f64 (neg.f64 (*.f64 (*.f64 #s(literal -3 binary64) x) (neg.f64 x))) #s(literal 3 binary64)))
(+.f64 (*.f64 #s(literal 6 binary64) x) (*.f64 (neg.f64 (*.f64 (*.f64 #s(literal -3 binary64) x) x)) #s(literal -3 binary64)))
(+.f64 (*.f64 #s(literal 6 binary64) x) (*.f64 (neg.f64 (*.f64 #s(literal -9 binary64) x)) (neg.f64 x)))
(+.f64 (*.f64 #s(literal 6 binary64) x) (*.f64 #s(literal 3 binary64) (*.f64 x (*.f64 #s(literal -3 binary64) x))))
(+.f64 (*.f64 #s(literal 6 binary64) x) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) (*.f64 x x))))
(+.f64 (*.f64 #s(literal 6 binary64) x) (*.f64 (neg.f64 x) (*.f64 #s(literal -3 binary64) (*.f64 #s(literal -3 binary64) x))))
(+.f64 (*.f64 #s(literal 6 binary64) x) (*.f64 #s(literal -3 binary64) (*.f64 (neg.f64 x) (*.f64 #s(literal -3 binary64) x))))
(+.f64 (*.f64 #s(literal 6 binary64) x) (*.f64 #s(literal -9 binary64) (*.f64 x x)))
(+.f64 (*.f64 #s(literal 6 binary64) x) (*.f64 (*.f64 #s(literal 9 binary64) x) x))
(+.f64 (*.f64 (*.f64 #s(literal 9 binary64) x) x) (*.f64 (neg.f64 x) #s(literal 6 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 9 binary64) x) x) (*.f64 #s(literal -3 binary64) (*.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 (*.f64 #s(literal 9 binary64) x) x) (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x))) #s(literal 3 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 9 binary64) x) x) (*.f64 (neg.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -3 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 9 binary64) x) x) (*.f64 #s(literal -6 binary64) (neg.f64 x)))
(+.f64 (*.f64 (*.f64 #s(literal 9 binary64) x) x) (*.f64 (neg.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 9 binary64) x) x) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal -3 binary64) x)))
(+.f64 (*.f64 (*.f64 #s(literal 9 binary64) x) x) (*.f64 #s(literal -6 binary64) x))
(+.f64 (*.f64 (*.f64 #s(literal 9 binary64) x) x) (*.f64 #s(literal 6 binary64) x))
(*.f64 (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)))
(*.f64 (exp.f64 (log.f64 #s(literal 3 binary64))) (exp.f64 (log.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 3 binary64))))
(*.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) x))
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))
(*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal 3 binary64) x)
(pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal -9 binary64) (*.f64 x x)) (*.f64 #s(literal -3 binary64) x))
(/.f64 (*.f64 #s(literal -27 binary64) (*.f64 (*.f64 x x) x)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 #s(literal 9 binary64) x) x) #s(literal 0 binary64))))
(neg.f64 (*.f64 #s(literal -3 binary64) x))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -3 binary64) x))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 x #s(literal 3 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 3 binary64)))

eval129.0ms (2%)

Memory
4.8MiB live, 200.0MiB allocated
Compiler

Compiled 20 468 to 2 296 computations (88.8% saved)

prune248.0ms (3.9%)

Memory
-36.3MiB live, 289.8MiB allocated
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New88711898
Fresh000
Picked101
Done000
Total88811899
Accuracy
100.0%
Counts
899 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(fma.f64 x #s(literal 6 binary64) (*.f64 #s(literal -9 binary64) (*.f64 x x)))
99.6%
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))))
99.6%
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)))
99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)))
99.7%
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
99.7%
(*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) (*.f64 x #s(literal 3 binary64)))
99.4%
(*.f64 (*.f64 (-.f64 #s(literal 36 binary64) (*.f64 #s(literal 81 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 6 binary64) (*.f64 #s(literal -9 binary64) x)))) x)
53.0%
(*.f64 (*.f64 #s(literal 3 binary64) #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x))) x)
53.0%
(*.f64 #s(approx (* 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) x)
50.2%
(*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
53.0%
#s(approx (* (* 3 (- 2 (* x 3))) x) (*.f64 (*.f64 x x) #s(literal -9 binary64)))
Compiler

Compiled 204 to 146 computations (28.4% saved)

simplify97.0ms (1.5%)

Memory
18.3MiB live, 62.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))
cost-diff1088
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))))
cost-diff0
(*.f64 #s(literal -3 binary64) x)
cost-diff0
#s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x))
cost-diff0
(*.f64 #s(literal 3 binary64) #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)))
cost-diff0
(*.f64 (*.f64 #s(literal 3 binary64) #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x))) x)
cost-diff0
(*.f64 x #s(literal -9 binary64))
cost-diff0
#s(approx (* 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64)))
cost-diff0
(*.f64 #s(approx (* 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) x)
cost-diff0
#s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64))
cost-diff0
(*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 #s(literal -9 binary64) (*.f64 x x))
cost-diff320
(fma.f64 x #s(literal 6 binary64) (*.f64 #s(literal -9 binary64) (*.f64 x x)))
Rules
1 064×lower-fma.f32
1 060×lower-fma.f64
768×lower-*.f32
752×lower-*.f64
418×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025131
039131
163127
290115
3136115
4228115
5366115
6604115
71026115
81518115
91797115
102197115
112481115
122794115
133026115
143084115
153104115
163120115
173126115
183126115
03126112
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 x #s(literal 6 binary64) (*.f64 #s(literal -9 binary64) (*.f64 x x)))
x
#s(literal 6 binary64)
(*.f64 #s(literal -9 binary64) (*.f64 x x))
#s(literal -9 binary64)
(*.f64 x x)
(*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
#s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64))
#s(literal 6 binary64)
x
(*.f64 #s(approx (* 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) x)
#s(approx (* 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64)))
(*.f64 x #s(literal -9 binary64))
x
#s(literal -9 binary64)
(*.f64 (*.f64 #s(literal 3 binary64) #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x))) x)
(*.f64 #s(literal 3 binary64) #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)))
#s(literal 3 binary64)
#s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x))
(*.f64 #s(literal -3 binary64) x)
#s(literal -3 binary64)
x
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))))
x
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))
#s(literal 1 binary64)
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
#s(literal -9 binary64)
#s(literal 6 binary64)
Outputs
(fma.f64 x #s(literal 6 binary64) (*.f64 #s(literal -9 binary64) (*.f64 x x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
x
#s(literal 6 binary64)
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal -9 binary64))
#s(literal -9 binary64)
(*.f64 x x)
(*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
#s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64))
#s(literal 6 binary64)
x
(*.f64 #s(approx (* 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) x)
(*.f64 #s(approx (* 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x)) x)
#s(approx (* 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64)))
#s(approx (* 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x))
(*.f64 x #s(literal -9 binary64))
(*.f64 #s(literal -9 binary64) x)
x
#s(literal -9 binary64)
(*.f64 (*.f64 #s(literal 3 binary64) #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x))) x)
(*.f64 #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) (*.f64 #s(literal 3 binary64) x))
(*.f64 #s(literal 3 binary64) #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)))
(*.f64 #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x))
(*.f64 #s(literal -3 binary64) x)
#s(literal -3 binary64)
x
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
x
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))
(/.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)))
#s(literal 1 binary64)
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
#s(literal -9 binary64)
#s(literal 6 binary64)

localize130.0ms (2.1%)

Memory
12.2MiB live, 86.3MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
accuracy0.13671875
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))
accuracy0.2265625
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))))
accuracy0
(*.f64 #s(literal -3 binary64) x)
accuracy0.16015625
(*.f64 #s(literal 3 binary64) #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)))
accuracy0.1640625
(*.f64 (*.f64 #s(literal 3 binary64) #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x))) x)
accuracy30.705700826223524
#s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x))
accuracy0
(*.f64 x #s(literal -9 binary64))
accuracy0.1640625
(*.f64 #s(approx (* 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) x)
accuracy30.67080428751826
#s(approx (* 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64)))
accuracy0.1640625
(*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
accuracy32.01911827687261
#s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64))
accuracy0
(*.f64 x x)
accuracy0.046875
(fma.f64 x #s(literal 6 binary64) (*.f64 #s(literal -9 binary64) (*.f64 x x)))
accuracy0.154628759768442
(*.f64 #s(literal -9 binary64) (*.f64 x x))
Samples
25.0ms195×0valid
20.0ms28×2valid
7.0ms33×1valid
Compiler

Compiled 113 to 23 computations (79.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-mult: 14.0ms (37.5% of total)
ival-sub: 13.0ms (34.8% of total)
ival-div: 4.0ms (10.7% of total)
ival-add: 3.0ms (8% of total)
adjust: 2.0ms (5.4% of total)
exact: 1.0ms (2.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series26.0ms (0.4%)

Memory
-12.2MiB live, 23.1MiB allocated
Counts
15 → 180
Calls
Call 1
Inputs
#s(alt (fma.f64 x #s(literal 6 binary64) (*.f64 #s(literal -9 binary64) (*.f64 x x))) (patch (fma.f64 x #s(literal 6 binary64) (*.f64 #s(literal -9 binary64) (*.f64 x x))) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -9 binary64) (*.f64 x x)) (patch (*.f64 #s(literal -9 binary64) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x) (patch (*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x) #<representation binary64>) () ())
#s(alt #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (patch #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (* 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) x) (patch (*.f64 #s(approx (* 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) x) #<representation binary64>) () ())
#s(alt #s(approx (* 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) (patch #s(approx (* 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 x #s(literal -9 binary64)) (patch (*.f64 x #s(literal -9 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(literal 3 binary64) #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x))) x) (patch (*.f64 (*.f64 #s(literal 3 binary64) #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x))) x) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal 3 binary64) #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x))) (patch (*.f64 #s(literal 3 binary64) #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x))) #<representation binary64>) () ())
#s(alt #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) (patch #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -3 binary64) x) (patch (*.f64 #s(literal -3 binary64) x) #<representation binary64>) () ())
#s(alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))) (patch (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) (patch (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* 6 x) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 6 binary64) (*.f64 #s(literal -9 binary64) (*.f64 x x))) (patch (fma.f64 x #s(literal 6 binary64) (*.f64 #s(literal -9 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 6 binary64) (*.f64 #s(literal -9 binary64) (*.f64 x x))) (patch (fma.f64 x #s(literal 6 binary64) (*.f64 #s(literal -9 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 6 binary64) (*.f64 #s(literal -9 binary64) (*.f64 x x))) (patch (fma.f64 x #s(literal 6 binary64) (*.f64 #s(literal -9 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (fma.f64 x #s(literal 6 binary64) (*.f64 #s(literal -9 binary64) (*.f64 x x))) (patch (fma.f64 x #s(literal 6 binary64) (*.f64 #s(literal -9 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -9 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 #s(literal -9 binary64) (*.f64 x x)) (patch (*.f64 #s(literal -9 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (- 9 (* 6 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) (patch (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 9 (* 6 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) (patch (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
17.0ms
x
@-inf
((+ (* x 6) (* -9 (* x x))) (* -9 (* x x)) (* x x) (* (* 3 (- 2 (* x 3))) x) (* 3 (- 2 (* x 3))) (* (* 3 (- 2 (* x 3))) x) (* 3 (- 2 (* x 3))) (* x -9) (* (* 3 (- 2 (* x 3))) x) (* 3 (- 2 (* x 3))) (- 2 (* x 3)) (* -3 x) (/ x (/ 1 (+ (* -9 x) 6))) (/ 1 (+ (* -9 x) 6)) (+ (* -9 x) 6))
2.0ms
x
@0
((+ (* x 6) (* -9 (* x x))) (* -9 (* x x)) (* x x) (* (* 3 (- 2 (* x 3))) x) (* 3 (- 2 (* x 3))) (* (* 3 (- 2 (* x 3))) x) (* 3 (- 2 (* x 3))) (* x -9) (* (* 3 (- 2 (* x 3))) x) (* 3 (- 2 (* x 3))) (- 2 (* x 3)) (* -3 x) (/ x (/ 1 (+ (* -9 x) 6))) (/ 1 (+ (* -9 x) 6)) (+ (* -9 x) 6))
2.0ms
x
@inf
((+ (* x 6) (* -9 (* x x))) (* -9 (* x x)) (* x x) (* (* 3 (- 2 (* x 3))) x) (* 3 (- 2 (* x 3))) (* (* 3 (- 2 (* x 3))) x) (* 3 (- 2 (* x 3))) (* x -9) (* (* 3 (- 2 (* x 3))) x) (* 3 (- 2 (* x 3))) (- 2 (* x 3)) (* -3 x) (/ x (/ 1 (+ (* -9 x) 6))) (/ 1 (+ (* -9 x) 6)) (+ (* -9 x) 6))

simplify177.0ms (2.8%)

Memory
1.1MiB live, 190.1MiB allocated
Algorithm
egg-herbie
Rules
8 368×lower-fma.f64
8 368×lower-fma.f32
2 510×lower-*.f64
2 510×lower-*.f32
1 512×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
082918
1219914
2484908
31024908
42294908
54184908
66870908
08088812
Stop Event
iter limit
node limit
Counts
180 → 180
Calls
Call 1
Inputs
(* 6 x)
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 6 x)
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
6
(+ 6 (* -9 x))
(+ 6 (* -9 x))
(+ 6 (* -9 x))
(* 6 x)
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
6
(+ 6 (* -9 x))
(+ 6 (* -9 x))
(+ 6 (* -9 x))
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* 6 x)
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
6
(+ 6 (* -9 x))
(+ 6 (* -9 x))
(+ 6 (* -9 x))
2
(+ 2 (* -3 x))
(+ 2 (* -3 x))
(+ 2 (* -3 x))
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* 6 x)
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
1/6
(+ 1/6 (* 1/4 x))
(+ 1/6 (* x (+ 1/4 (* 3/8 x))))
(+ 1/6 (* x (+ 1/4 (* x (+ 3/8 (* 9/16 x))))))
6
(+ 6 (* -9 x))
(+ 6 (* -9 x))
(+ 6 (* -9 x))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -9 x)
(* x (- (* 6 (/ 1 x)) 9))
(* x (- (* 6 (/ 1 x)) 9))
(* x (- (* 6 (/ 1 x)) 9))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -9 x)
(* x (- (* 6 (/ 1 x)) 9))
(* x (- (* 6 (/ 1 x)) 9))
(* x (- (* 6 (/ 1 x)) 9))
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -9 x)
(* x (- (* 6 (/ 1 x)) 9))
(* x (- (* 6 (/ 1 x)) 9))
(* x (- (* 6 (/ 1 x)) 9))
(* -3 x)
(* x (- (* 2 (/ 1 x)) 3))
(* x (- (* 2 (/ 1 x)) 3))
(* x (- (* 2 (/ 1 x)) 3))
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(/ -1/9 x)
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 2/27 (* 4/81 (/ 1 x))) x)) 1/9) x)
(/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) (pow x 2))) (+ 1/9 (* 2/27 (/ 1 x)))) x)
(* -9 x)
(* x (- (* 6 (/ 1 x)) 9))
(* x (- (* 6 (/ 1 x)) 9))
(* x (- (* 6 (/ 1 x)) 9))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -9 x)
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -9 x)
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 x)
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -9 x)
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -3 x)
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(/ -1/9 x)
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x))
(* -1 (/ (+ 1/9 (+ (/ 4/81 (pow x 2)) (* 2/27 (/ 1 x)))) x))
(* -1 (/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) x)) 2/27) x))) x))
(* -9 x)
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
Outputs
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* -9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -9 binary64))
(* -9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -9 binary64))
(* -9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -9 binary64))
(* -9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -9 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)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
6
#s(literal 6 binary64)
(+ 6 (* -9 x))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(+ 6 (* -9 x))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(+ 6 (* -9 x))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
6
#s(literal 6 binary64)
(+ 6 (* -9 x))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(+ 6 (* -9 x))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(+ 6 (* -9 x))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* -9 x)
(*.f64 #s(literal -9 binary64) x)
(* -9 x)
(*.f64 #s(literal -9 binary64) x)
(* -9 x)
(*.f64 #s(literal -9 binary64) x)
(* -9 x)
(*.f64 #s(literal -9 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
6
#s(literal 6 binary64)
(+ 6 (* -9 x))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(+ 6 (* -9 x))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(+ 6 (* -9 x))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
2
#s(literal 2 binary64)
(+ 2 (* -3 x))
(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
(+ 2 (* -3 x))
(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
(+ 2 (* -3 x))
(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
(* -3 x)
(*.f64 #s(literal -3 binary64) x)
(* -3 x)
(*.f64 #s(literal -3 binary64) x)
(* -3 x)
(*.f64 #s(literal -3 binary64) x)
(* -3 x)
(*.f64 #s(literal -3 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/4 x))
(fma.f64 #s(literal 1/4 binary64) x #s(literal 1/6 binary64))
(+ 1/6 (* x (+ 1/4 (* 3/8 x))))
(fma.f64 (fma.f64 #s(literal 3/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/6 binary64))
(+ 1/6 (* x (+ 1/4 (* x (+ 3/8 (* 9/16 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 9/16 binary64) x #s(literal 3/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/6 binary64))
6
#s(literal 6 binary64)
(+ 6 (* -9 x))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(+ 6 (* -9 x))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(+ 6 (* -9 x))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* -9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -9 binary64))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* -9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -9 binary64))
(* -9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -9 binary64))
(* -9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -9 binary64))
(* -9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -9 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)
(* -9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -9 binary64))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* -9 x)
(*.f64 #s(literal -9 binary64) x)
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* -9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -9 binary64))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* -9 x)
(*.f64 #s(literal -9 binary64) x)
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* -9 x)
(*.f64 #s(literal -9 binary64) x)
(* -9 x)
(*.f64 #s(literal -9 binary64) x)
(* -9 x)
(*.f64 #s(literal -9 binary64) x)
(* -9 x)
(*.f64 #s(literal -9 binary64) x)
(* -9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -9 binary64))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* -9 x)
(*.f64 #s(literal -9 binary64) x)
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* -3 x)
(*.f64 #s(literal -3 binary64) x)
(* x (- (* 2 (/ 1 x)) 3))
(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
(* x (- (* 2 (/ 1 x)) 3))
(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
(* x (- (* 2 (/ 1 x)) 3))
(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
(* -3 x)
(*.f64 #s(literal -3 binary64) x)
(* -3 x)
(*.f64 #s(literal -3 binary64) x)
(* -3 x)
(*.f64 #s(literal -3 binary64) x)
(* -3 x)
(*.f64 #s(literal -3 binary64) x)
(* -9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -9 binary64))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x))
(/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 2/27 binary64) x)) x)
(/ (- (* -1 (/ (+ 2/27 (* 4/81 (/ 1 x))) x)) 1/9) x)
(/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) x) #s(literal -2/27 binary64)) x)) x)
(/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) (pow x 2))) (+ 1/9 (* 2/27 (/ 1 x)))) x)
(/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 (fma.f64 #s(literal 2/27 binary64) x (-.f64 (/.f64 #s(literal 8/243 binary64) x) #s(literal -4/81 binary64))) (*.f64 x x))) x)
(* -9 x)
(*.f64 #s(literal -9 binary64) x)
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* -9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -9 binary64))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* -9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -9 binary64))
(* -9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -9 binary64))
(* -9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -9 binary64))
(* -9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -9 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)
(* -9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -9 binary64))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* -9 x)
(*.f64 #s(literal -9 binary64) x)
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* -9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -9 binary64))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* -9 x)
(*.f64 #s(literal -9 binary64) x)
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* -9 x)
(*.f64 #s(literal -9 binary64) x)
(* -9 x)
(*.f64 #s(literal -9 binary64) x)
(* -9 x)
(*.f64 #s(literal -9 binary64) x)
(* -9 x)
(*.f64 #s(literal -9 binary64) x)
(* -9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -9 binary64))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* -9 x)
(*.f64 #s(literal -9 binary64) x)
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* -3 x)
(*.f64 #s(literal -3 binary64) x)
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
(* -3 x)
(*.f64 #s(literal -3 binary64) x)
(* -3 x)
(*.f64 #s(literal -3 binary64) x)
(* -3 x)
(*.f64 #s(literal -3 binary64) x)
(* -3 x)
(*.f64 #s(literal -3 binary64) x)
(* -9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -9 binary64))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x))
(/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 2/27 binary64) x)) x)
(* -1 (/ (+ 1/9 (+ (/ 4/81 (pow x 2)) (* 2/27 (/ 1 x)))) x))
(/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) x) #s(literal -2/27 binary64)) x)) x)
(* -1 (/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) x)) 2/27) x))) x))
(/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 (fma.f64 #s(literal 2/27 binary64) x (-.f64 (/.f64 #s(literal 8/243 binary64) x) #s(literal -4/81 binary64))) (*.f64 x x))) x)
(* -9 x)
(*.f64 #s(literal -9 binary64) x)
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))

rewrite232.0ms (3.7%)

Memory
28.1MiB live, 315.6MiB allocated
Rules
8 162×lower-fma.f32
8 158×lower-fma.f64
4 616×lower-*.f32
4 600×lower-*.f64
2 772×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025117
039117
1118113
2667101
36596101
0801698
Stop Event
iter limit
node limit
iter limit
Counts
15 → 813
Calls
Call 1
Inputs
(fma.f64 x #s(literal 6 binary64) (*.f64 #s(literal -9 binary64) (*.f64 x x)))
(*.f64 #s(literal -9 binary64) (*.f64 x x))
(*.f64 x x)
(*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
#s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64))
(*.f64 #s(approx (* 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) x)
#s(approx (* 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64)))
(*.f64 x #s(literal -9 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x))) x)
(*.f64 #s(literal 3 binary64) #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)))
#s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x))
(*.f64 #s(literal -3 binary64) x)
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
Outputs
(*.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 36 binary64) (*.f64 #s(literal 81 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)))) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -6 binary64)) x))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -729 binary64) #s(literal -216 binary64))) (fma.f64 #s(literal 81 binary64) (*.f64 x x) (fma.f64 #s(literal -54 binary64) x #s(literal 36 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) x) (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64))) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -729 binary64) #s(literal 216 binary64)) x) (*.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 81 binary64) x) #s(literal -54 binary64)) #s(literal 36 binary64)) (-.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) (*.f64 x #s(literal 54 binary64))))) (-.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) (*.f64 x #s(literal 54 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -729 binary64) #s(literal 216 binary64)) x) (fma.f64 #s(literal 531441 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (*.f64 (*.f64 (fma.f64 x #s(literal 54 binary64) #s(literal 36 binary64)) (fma.f64 x #s(literal 54 binary64) #s(literal 36 binary64))) (fma.f64 x #s(literal 54 binary64) #s(literal 36 binary64))))) (fma.f64 #s(literal 6561 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (fma.f64 x #s(literal 54 binary64) #s(literal 36 binary64)) (-.f64 (fma.f64 x #s(literal 54 binary64) #s(literal 36 binary64)) (*.f64 #s(literal 81 binary64) (*.f64 x x))))))
(*.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 36 binary64) (*.f64 #s(literal 81 binary64) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) x) (-.f64 #s(literal 216 binary64) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -729 binary64))))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -9 binary64)) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) (*.f64 #s(literal 36 binary64) (*.f64 x x))))
(*.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 36 binary64) (*.f64 #s(literal 81 binary64) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) x) (-.f64 #s(literal 216 binary64) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -729 binary64))))) (-.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal 36 binary64))) (*.f64 (*.f64 x #s(literal 54 binary64)) (*.f64 x x))))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -729 binary64) #s(literal 216 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1296 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (-.f64 (*.f64 #s(literal 81 binary64) x) #s(literal -54 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (-.f64 (*.f64 #s(literal 81 binary64) x) #s(literal -54 binary64))))))) (-.f64 (*.f64 #s(literal 36 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (-.f64 (*.f64 #s(literal 81 binary64) x) #s(literal -54 binary64))))))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -729 binary64) #s(literal 216 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (-.f64 (*.f64 #s(literal 81 binary64) x) #s(literal -54 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (-.f64 (*.f64 #s(literal 81 binary64) x) #s(literal -54 binary64))))) (*.f64 (*.f64 x x) (*.f64 x (-.f64 (*.f64 #s(literal 81 binary64) x) #s(literal -54 binary64)))) (*.f64 #s(literal 46656 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal 1296 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (-.f64 (*.f64 #s(literal 81 binary64) x) #s(literal -54 binary64)))) (-.f64 (*.f64 (*.f64 x x) (*.f64 x (-.f64 (*.f64 #s(literal 81 binary64) x) #s(literal -54 binary64)))) (*.f64 #s(literal 36 binary64) (*.f64 x x))))))
(*.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 36 binary64) (*.f64 #s(literal 81 binary64) (*.f64 x x)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 36 binary64) (*.f64 #s(literal 81 binary64) (*.f64 x x))))) (*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -729 binary64) #s(literal 216 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 36 binary64) x) x (*.f64 (*.f64 x x) (*.f64 x (-.f64 (*.f64 #s(literal 81 binary64) x) #s(literal -54 binary64)))))))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -6 binary64)) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -6 binary64)) x)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x) (*.f64 #s(literal 3 binary64) x)) (/.f64 (*.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x) x) (/.f64 (*.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))) (-.f64 #s(literal 6 binary64) (*.f64 #s(literal -9 binary64) x))))
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))))
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -729 binary64) #s(literal 216 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 81 binary64) x) #s(literal -54 binary64)) #s(literal 36 binary64))))
(*.f64 (/.f64 x (pow.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) #s(literal -1/2 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (fma.f64 #s(literal 9 binary64) x #s(literal -6 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)))) (*.f64 (*.f64 x x) (-.f64 #s(literal 36 binary64) (*.f64 #s(literal 81 binary64) (*.f64 x x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 36 binary64) x) x (*.f64 (*.f64 x x) (*.f64 x (-.f64 (*.f64 #s(literal 81 binary64) x) #s(literal -54 binary64)))))) (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -729 binary64) #s(literal 216 binary64))))
(*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)))))
(*.f64 (neg.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -729 binary64) #s(literal 216 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 36 binary64) x) x (*.f64 (*.f64 x x) (*.f64 x (-.f64 (*.f64 #s(literal 81 binary64) x) #s(literal -54 binary64))))))))
(*.f64 (*.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) x) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -729 binary64) #s(literal 216 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 81 binary64) x) #s(literal -54 binary64)) #s(literal 36 binary64))))
(*.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))) x))
(*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 36 binary64) (*.f64 #s(literal 81 binary64) (*.f64 x x)))) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 36 binary64) (*.f64 #s(literal 81 binary64) (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)))))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -729 binary64) #s(literal 216 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 81 binary64) x) #s(literal -54 binary64)) #s(literal 36 binary64))) x))
(*.f64 (fma.f64 (*.f64 #s(literal 36 binary64) x) x (*.f64 (*.f64 x x) (*.f64 x (-.f64 (*.f64 #s(literal 81 binary64) x) #s(literal -54 binary64))))) (/.f64 (*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x) (fma.f64 (*.f64 #s(literal 36 binary64) x) x (*.f64 (*.f64 x x) (*.f64 x (-.f64 (*.f64 #s(literal 81 binary64) x) #s(literal -54 binary64)))))))
(*.f64 (fma.f64 (*.f64 #s(literal 36 binary64) x) x (*.f64 (*.f64 x x) (*.f64 x (-.f64 (*.f64 #s(literal 81 binary64) x) #s(literal -54 binary64))))) (*.f64 (*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 36 binary64) x) x (*.f64 (*.f64 x x) (*.f64 x (-.f64 (*.f64 #s(literal 81 binary64) x) #s(literal -54 binary64))))))))
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -729 binary64) #s(literal 216 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 36 binary64) x) x (*.f64 (*.f64 x x) (*.f64 x (-.f64 (*.f64 #s(literal 81 binary64) x) #s(literal -54 binary64)))))) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -729 binary64) #s(literal 216 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 36 binary64) x) x (*.f64 (*.f64 x x) (*.f64 x (-.f64 (*.f64 #s(literal 81 binary64) x) #s(literal -54 binary64)))))))
(*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -6 binary64)) (neg.f64 x))
(*.f64 (neg.f64 x) (fma.f64 #s(literal 9 binary64) x #s(literal -6 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -6 binary64)) x))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x))
(*.f64 (*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x) (/.f64 (*.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))) (*.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)))))
(*.f64 (*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x) (*.f64 (*.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))))))
(*.f64 (*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x) #s(literal 1 binary64))
(*.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))
(pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -6 binary64)) x)) #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 36 binary64) (*.f64 #s(literal 81 binary64) (*.f64 x x)))) (*.f64 #s(literal 3 binary64) x)) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))
(/.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 36 binary64) (*.f64 #s(literal 81 binary64) (*.f64 x x)))) x) (-.f64 #s(literal 6 binary64) (*.f64 #s(literal -9 binary64) x)))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal 36 binary64))) (*.f64 (*.f64 x x) (-.f64 #s(literal 36 binary64) (*.f64 #s(literal 81 binary64) (*.f64 x x))))) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))))) (*.f64 (*.f64 x x) (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal 36 binary64))))
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(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)))) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -729 binary64) #s(literal 216 binary64)))) (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 81 binary64) x) #s(literal -54 binary64)) #s(literal 36 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -729 binary64) #s(literal 216 binary64))) (fma.f64 x (-.f64 (*.f64 #s(literal 81 binary64) x) #s(literal -54 binary64)) #s(literal 36 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64))) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 6561 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1296 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal 36 binary64)) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 531441 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) #s(literal -46656 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 6561 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 (*.f64 x x) #s(literal 2916 binary64) #s(literal 1296 binary64))) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 531441 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) #s(literal -46656 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -729 binary64) #s(literal -216 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 81 binary64) x) #s(literal -54 binary64)) #s(literal 36 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 531441 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -729 binary64)) #s(literal 10077696 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 531441 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (-.f64 #s(literal 46656 binary64) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -157464 binary64)))) (fma.f64 x (-.f64 (*.f64 #s(literal 81 binary64) x) #s(literal -54 binary64)) #s(literal 36 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 81 binary64) (*.f64 x x)) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))) (*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) #s(literal 36 binary64))) (*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 x x) x) #s(literal 8 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal -3 binary64) x) (-.f64 (*.f64 #s(literal -3 binary64) x) #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 x x) x) #s(literal 8 binary64)) #s(literal 3 binary64)) (fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) #s(literal 4 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -9 binary64) x) x #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 6561 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1296 binary64)) (*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal 36 binary64))))
(/.f64 (-.f64 #s(literal 36 binary64) (*.f64 #s(literal 81 binary64) (*.f64 x x))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 6 binary64) (*.f64 #s(literal -9 binary64) x))))
(/.f64 (-.f64 #s(literal 36 binary64) (*.f64 #s(literal 81 binary64) (*.f64 x x))) (-.f64 #s(literal 6 binary64) (*.f64 #s(literal -9 binary64) x)))
(/.f64 (fma.f64 #s(literal 531441 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) #s(literal -46656 binary64)) (*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) (fma.f64 #s(literal 6561 binary64) (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 (*.f64 x x) #s(literal 2916 binary64) #s(literal 1296 binary64)))))
(/.f64 (fma.f64 #s(literal 531441 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) #s(literal -46656 binary64)) (*.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 81 binary64) x) #s(literal -54 binary64)) #s(literal 36 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -729 binary64) #s(literal -216 binary64))))
(/.f64 (fma.f64 (*.f64 #s(literal 531441 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -729 binary64)) #s(literal 10077696 binary64)) (*.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 81 binary64) x) #s(literal -54 binary64)) #s(literal 36 binary64)) (fma.f64 #s(literal 531441 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (-.f64 #s(literal 46656 binary64) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -157464 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64))) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -729 binary64) #s(literal 216 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 81 binary64) x) #s(literal -54 binary64)) #s(literal 36 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -729 binary64) #s(literal 216 binary64))) (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 81 binary64) x) #s(literal -54 binary64)) #s(literal 36 binary64))))
(/.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) (neg.f64 (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))))
(/.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))))
(/.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -729 binary64) #s(literal 216 binary64)) (neg.f64 (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 81 binary64) x) #s(literal -54 binary64)) #s(literal 36 binary64)))))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -729 binary64) #s(literal 216 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 81 binary64) x) #s(literal -54 binary64)) #s(literal 36 binary64)))))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -729 binary64) #s(literal 216 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 81 binary64) x) #s(literal -54 binary64)) #s(literal 36 binary64)))
(/.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -6 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))))
(/.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -27 binary64) (*.f64 (*.f64 x x) x) #s(literal 8 binary64)) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -9 binary64) x) x #s(literal 4 binary64)) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 6 binary64) (*.f64 #s(literal -9 binary64) x)) (-.f64 #s(literal 36 binary64) (*.f64 #s(literal 81 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))))
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))))
(neg.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -6 binary64)))
(fma.f64 (/.f64 (*.f64 #s(literal 81 binary64) (*.f64 x x)) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal -729 binary64) #s(literal -216 binary64))) (fma.f64 #s(literal 81 binary64) (*.f64 x x) (fma.f64 #s(literal -54 binary64) x #s(literal 36 binary64))) (neg.f64 (/.f64 #s(literal -36 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)))))
(fma.f64 (/.f64 (*.f64 #s(literal 81 binary64) (*.f64 x x)) (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64))) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) (neg.f64 (/.f64 #s(literal -36 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)))))
(fma.f64 (*.f64 #s(literal 81 binary64) x) (/.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))) (neg.f64 (/.f64 #s(literal -36 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)))))
(fma.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1 binary64) #s(literal 6 binary64))
(fma.f64 #s(literal 9 binary64) (neg.f64 x) #s(literal 6 binary64))
(fma.f64 #s(literal 81 binary64) (/.f64 (*.f64 x x) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))) (neg.f64 (/.f64 #s(literal -36 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)))))
(fma.f64 (*.f64 #s(literal -3 binary64) x) #s(literal 3 binary64) #s(literal 6 binary64))
(fma.f64 (*.f64 #s(literal 81 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))) (neg.f64 (/.f64 #s(literal -36 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)))))
(fma.f64 (neg.f64 x) #s(literal 9 binary64) #s(literal 6 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 9 binary64) x) #s(literal 6 binary64))
(fma.f64 (*.f64 #s(literal -9 binary64) x) (/.f64 (*.f64 #s(literal -9 binary64) x) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))) (neg.f64 (/.f64 #s(literal -36 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)))))
(fma.f64 (*.f64 #s(literal -9 binary64) x) #s(literal 1 binary64) #s(literal 6 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) x) #s(literal 6 binary64))
(fma.f64 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) x) #s(literal 6 binary64))
(fma.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -3 binary64) #s(literal 6 binary64))
(fma.f64 #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) x) #s(literal 6 binary64))
(fma.f64 (*.f64 (*.f64 x x) #s(literal -9 binary64)) (/.f64 #s(literal -9 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))) (neg.f64 (/.f64 #s(literal -36 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 81 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))) (neg.f64 (/.f64 #s(literal -36 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)))))
(fma.f64 #s(literal -9 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal -9 binary64)) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))) (neg.f64 (/.f64 #s(literal -36 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)))))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(fma.f64 x (/.f64 (*.f64 #s(literal 81 binary64) x) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))) (neg.f64 (/.f64 #s(literal -36 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)))))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(-.f64 (/.f64 #s(literal 36 binary64) (-.f64 #s(literal 6 binary64) (*.f64 #s(literal -9 binary64) x))) (/.f64 (*.f64 #s(literal 81 binary64) (*.f64 x x)) (-.f64 #s(literal 6 binary64) (*.f64 #s(literal -9 binary64) x))))
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 81 binary64) x) (/.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -36 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))) #s(literal 1 binary64)))
(-.f64 (*.f64 (*.f64 #s(literal 81 binary64) x) (/.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)))) (/.f64 #s(literal -36 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))))
(-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal -6 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))))
(+.f64 (*.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1 binary64)) #s(literal 6 binary64))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) x)) #s(literal 6 binary64))
(+.f64 (*.f64 (*.f64 #s(literal 81 binary64) x) (/.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)))) (neg.f64 (/.f64 #s(literal -36 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)))))
(+.f64 (*.f64 #s(literal -9 binary64) x) #s(literal 6 binary64))
(+.f64 #s(literal 6 binary64) (*.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1 binary64)))
(+.f64 #s(literal 6 binary64) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) x)))
(+.f64 #s(literal 6 binary64) (*.f64 #s(literal -9 binary64) x))

eval198.0ms (3.1%)

Memory
2.0MiB live, 161.2MiB allocated
Compiler

Compiled 18 245 to 1 563 computations (91.4% saved)

prune161.0ms (2.6%)

Memory
-9.7MiB live, 190.9MiB allocated
Pruning

12 alts after pruning (8 fresh and 4 done)

PrunedKeptTotal
New9876993
Fresh426
Picked145
Done000
Total992121 004
Accuracy
100.0%
Counts
1 004 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(fma.f64 x #s(literal 6 binary64) (*.f64 #s(literal -9 binary64) (*.f64 x x)))
92.2%
(/.f64 (*.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) x) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)))
50.2%
(/.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x))
53.0%
(/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) (/.f64 #s(literal -1/9 binary64) x)))
50.1%
(/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)))
99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)))
99.7%
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
53.0%
(*.f64 (*.f64 #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) x) #s(literal 3 binary64))
53.0%
(*.f64 (*.f64 #s(literal 3 binary64) #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x))) x)
53.0%
(*.f64 #s(approx (* 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) x)
50.2%
(*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
53.0%
#s(approx (/ x (/ 1 (+ (* -9 x) 6))) (*.f64 (*.f64 x x) #s(literal -9 binary64)))
Compiler

Compiled 164 to 109 computations (33.5% saved)

simplify173.0ms (2.7%)

Memory
-18.8MiB live, 92.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64))
cost-diff0
(*.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) x)
cost-diff0
(/.f64 (*.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) x) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
#s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64))
cost-diff1088
(/.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x))
cost-diff0
(*.f64 #s(literal -3 binary64) x)
cost-diff0
#s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x))
cost-diff0
(*.f64 #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) x)
cost-diff0
(*.f64 (*.f64 #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) x) #s(literal 3 binary64))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) #s(literal -9 binary64))
cost-diff0
#s(approx (/ x (/ 1 (+ (* -9 x) 6))) (*.f64 (*.f64 x x) #s(literal -9 binary64)))
cost-diff0
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
cost-diff0
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
Rules
3 704×lower-fma.f32
3 698×lower-fma.f64
2 168×lower-*.f32
2 154×lower-*.f64
1 736×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033144
048143
181139
2131133
3205133
4327133
5532133
6815133
71330133
82310133
92838133
103434133
113876133
124163133
134472133
144730133
155229133
166429133
177326133
187965133
08093130
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
x
#s(literal -9 binary64)
#s(literal 6 binary64)
#s(approx (/ x (/ 1 (+ (* -9 x) 6))) (*.f64 (*.f64 x x) #s(literal -9 binary64)))
(*.f64 (*.f64 x x) #s(literal -9 binary64))
(*.f64 x x)
x
#s(literal -9 binary64)
(*.f64 (*.f64 #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) x) #s(literal 3 binary64))
(*.f64 #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) x)
#s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x))
(*.f64 #s(literal -3 binary64) x)
#s(literal -3 binary64)
x
#s(literal 3 binary64)
(/.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x))
#s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64))
#s(literal 6 binary64)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 (*.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) x) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)))
(*.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) x)
(fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64))
#s(literal 81 binary64)
(*.f64 x x)
x
#s(literal -36 binary64)
(fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))
#s(literal -9 binary64)
#s(literal -6 binary64)
Outputs
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
x
#s(literal -9 binary64)
#s(literal 6 binary64)
#s(approx (/ x (/ 1 (+ (* -9 x) 6))) (*.f64 (*.f64 x x) #s(literal -9 binary64)))
(*.f64 (*.f64 x x) #s(literal -9 binary64))
(*.f64 x x)
x
#s(literal -9 binary64)
(*.f64 (*.f64 #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) x) #s(literal 3 binary64))
(*.f64 #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) (*.f64 #s(literal 3 binary64) x))
(*.f64 #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) x)
#s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x))
(*.f64 #s(literal -3 binary64) x)
#s(literal -3 binary64)
x
#s(literal 3 binary64)
(/.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
#s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64))
#s(literal 6 binary64)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 (*.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) x) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)))
(*.f64 (fma.f64 #s(literal -81 binary64) (*.f64 x x) #s(literal 36 binary64)) (/.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))))
(*.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) x)
(fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64))
#s(literal 81 binary64)
(*.f64 x x)
x
#s(literal -36 binary64)
(fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))
#s(literal -9 binary64)
#s(literal -6 binary64)

localize299.0ms (4.7%)

Memory
0.7MiB live, 230.1MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 x x)
accuracy0.05859375
(fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64))
accuracy0.07421875
(*.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) x)
accuracy4.995232874916473
(/.f64 (*.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) x) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)))
accuracy0
(/.f64 #s(literal 1 binary64) x)
accuracy0.22265625
(/.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x))
accuracy32.01911827687261
#s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64))
accuracy0
(*.f64 #s(literal -3 binary64) x)
accuracy0.08203125
(*.f64 #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) x)
accuracy0.15234375
(*.f64 (*.f64 #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) x) #s(literal 3 binary64))
accuracy30.705700826223524
#s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x))
accuracy0
(*.f64 x x)
accuracy0.154628759768442
(*.f64 (*.f64 x x) #s(literal -9 binary64))
accuracy30.003600381287182
#s(approx (/ x (/ 1 (+ (* -9 x) 6))) (*.f64 (*.f64 x x) #s(literal -9 binary64)))
accuracy0
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
accuracy0.1640625
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
Samples
197.0ms178×0valid
50.0ms39×1valid
33.0ms36×2valid
1.0ms3valid
Compiler

Compiled 131 to 34 computations (74% saved)

Precisions
Click to see histograms. Total time spent on operations: 260.0ms
ival-mult: 220.0ms (84.7% of total)
ival-add: 23.0ms (8.9% of total)
ival-div: 10.0ms (3.8% of total)
adjust: 4.0ms (1.5% of total)
ival-sub: 2.0ms (0.8% of total)
exact: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series14.0ms (0.2%)

Memory
-11.6MiB live, 25.9MiB allocated
Counts
15 → 180
Calls
Call 1
Inputs
#s(alt (*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) (patch (*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) (patch (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ x (/ 1 (+ (* -9 x) 6))) (*.f64 (*.f64 x x) #s(literal -9 binary64))) (patch #s(approx (/ x (/ 1 (+ (* -9 x) 6))) (*.f64 (*.f64 x x) #s(literal -9 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x x) #s(literal -9 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -9 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) x) #s(literal 3 binary64)) (patch (*.f64 (*.f64 #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) x) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) x) (patch (*.f64 #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) x) #<representation binary64>) () ())
#s(alt #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) (patch #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) #<representation binary64>) () ())
#s(alt (*.f64 #s(literal -3 binary64) x) (patch (*.f64 #s(literal -3 binary64) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (patch #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) x) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))) (patch (/.f64 (*.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) x) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) x) (patch (*.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) x) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) (patch (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* 6 x) (taylor 0 x) (#s(alt (*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) (patch (*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) (patch (*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) (patch (*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) (patch (*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt 6 (taylor 0 x) (#s(alt (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) (patch (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 6 (* -9 x)) (taylor 0 x) (#s(alt (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) (patch (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 6 (* -9 x)) (taylor 0 x) (#s(alt (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) (patch (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 6 (* -9 x)) (taylor 0 x) (#s(alt (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) (patch (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 6 x) (taylor 0 x) (#s(alt #s(approx (/ x (/ 1 (+ (* -9 x) 6))) (*.f64 (*.f64 x x) #s(literal -9 binary64))) (patch #s(approx (/ x (/ 1 (+ (* -9 x) 6))) (*.f64 (*.f64 x x) #s(literal -9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt #s(approx (/ x (/ 1 (+ (* -9 x) 6))) (*.f64 (*.f64 x x) #s(literal -9 binary64))) (patch #s(approx (/ x (/ 1 (+ (* -9 x) 6))) (*.f64 (*.f64 x x) #s(literal -9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt #s(approx (/ x (/ 1 (+ (* -9 x) 6))) (*.f64 (*.f64 x x) #s(literal -9 binary64))) (patch #s(approx (/ x (/ 1 (+ (* -9 x) 6))) (*.f64 (*.f64 x x) #s(literal -9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt #s(approx (/ x (/ 1 (+ (* -9 x) 6))) (*.f64 (*.f64 x x) #s(literal -9 binary64))) (patch #s(approx (/ x (/ 1 (+ (* -9 x) 6))) (*.f64 (*.f64 x x) #s(literal -9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -9 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal -9 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -9 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal -9 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -9 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal -9 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -9 (pow x 2)) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) #s(literal -9 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -9 binary64)) #<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 (* 6 x) (taylor 0 x) (#s(alt (*.f64 (*.f64 #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) x) #s(literal 3 binary64)) (patch (*.f64 (*.f64 #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (*.f64 (*.f64 #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) x) #s(literal 3 binary64)) (patch (*.f64 (*.f64 #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (*.f64 (*.f64 #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) x) #s(literal 3 binary64)) (patch (*.f64 (*.f64 #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (*.f64 (*.f64 #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) x) #s(literal 3 binary64)) (patch (*.f64 (*.f64 #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) x) (patch (*.f64 #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* -3 x))) (taylor 0 x) (#s(alt (*.f64 #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) x) (patch (*.f64 #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* -3 x))) (taylor 0 x) (#s(alt (*.f64 #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) x) (patch (*.f64 #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 2 (* -3 x))) (taylor 0 x) (#s(alt (*.f64 #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) x) (patch (*.f64 #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 x) (#s(alt #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) (patch #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* -3 x)) (taylor 0 x) (#s(alt #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) (patch #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* -3 x)) (taylor 0 x) (#s(alt #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) (patch #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* -3 x)) (taylor 0 x) (#s(alt #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) (patch #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -3 x) (taylor 0 x) (#s(alt (*.f64 #s(literal -3 binary64) x) (patch (*.f64 #s(literal -3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -3 x) (taylor 0 x) (#s(alt (*.f64 #s(literal -3 binary64) x) (patch (*.f64 #s(literal -3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -3 x) (taylor 0 x) (#s(alt (*.f64 #s(literal -3 binary64) x) (patch (*.f64 #s(literal -3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -3 x) (taylor 0 x) (#s(alt (*.f64 #s(literal -3 binary64) x) (patch (*.f64 #s(literal -3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 6 x) (taylor 0 x) (#s(alt (/.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (/.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (/.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (/.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt 6 (taylor 0 x) (#s(alt #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (patch #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 6 (* -9 x)) (taylor 0 x) (#s(alt #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (patch #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 6 (* -9 x)) (taylor 0 x) (#s(alt #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (patch #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 6 (* -9 x)) (taylor 0 x) (#s(alt #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (patch #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 6 x) (taylor 0 x) (#s(alt (/.f64 (*.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) x) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))) (patch (/.f64 (*.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) x) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (/.f64 (*.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) x) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))) (patch (/.f64 (*.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) x) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (/.f64 (*.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) x) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))) (patch (/.f64 (*.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) x) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (/.f64 (*.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) x) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))) (patch (/.f64 (*.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) x) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* -9 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) #s(literal -9 binary64)) (patch (*.f64 (*.f64 x x) #s(literal -9 binary64)) #<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 (* -9 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) x) #s(literal 3 binary64)) (patch (*.f64 (*.f64 #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) x) #s(literal 3 binary64)) (patch (*.f64 (*.f64 #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) x) #s(literal 3 binary64)) (patch (*.f64 (*.f64 #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor -inf x) (#s(alt (*.f64 (*.f64 #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) x) #s(literal 3 binary64)) (patch (*.f64 (*.f64 #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -3 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) x) (patch (*.f64 #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 2 (/ 1 x)) 3)) (taylor -inf x) (#s(alt (*.f64 #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) x) (patch (*.f64 #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 2 (/ 1 x)) 3)) (taylor -inf x) (#s(alt (*.f64 #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) x) (patch (*.f64 #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 2 (/ 1 x)) 3)) (taylor -inf x) (#s(alt (*.f64 #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) x) (patch (*.f64 #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) x) #<representation binary64>) () ())) ())
#s(alt (* -3 x) (taylor -inf x) (#s(alt #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) (patch #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 3 (* 2 (/ 1 x))))) (taylor -inf x) (#s(alt #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) (patch #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 3 (* 2 (/ 1 x))))) (taylor -inf x) (#s(alt #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) (patch #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 3 (* 2 (/ 1 x))))) (taylor -inf x) (#s(alt #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) (patch #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -3 x) (taylor -inf x) (#s(alt (*.f64 #s(literal -3 binary64) x) (patch (*.f64 #s(literal -3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -3 x) (taylor -inf x) (#s(alt (*.f64 #s(literal -3 binary64) x) (patch (*.f64 #s(literal -3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -3 x) (taylor -inf x) (#s(alt (*.f64 #s(literal -3 binary64) x) (patch (*.f64 #s(literal -3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -3 x) (taylor -inf x) (#s(alt (*.f64 #s(literal -3 binary64) x) (patch (*.f64 #s(literal -3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -9 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor -inf x) (#s(alt (/.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor -inf x) (#s(alt (/.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor -inf x) (#s(alt (/.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -9 x) (taylor -inf x) (#s(alt #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (patch #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 9 (* 6 (/ 1 x))))) (taylor -inf x) (#s(alt #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (patch #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 9 (* 6 (/ 1 x))))) (taylor -inf x) (#s(alt #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (patch #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 9 (* 6 (/ 1 x))))) (taylor -inf x) (#s(alt #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (patch #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) x) (patch (/.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -9 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) x) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))) (patch (/.f64 (*.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) x) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) x) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))) (patch (/.f64 (*.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) x) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) x) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))) (patch (/.f64 (*.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) x) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) x) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))) (patch (/.f64 (*.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) x) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 81 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) x) (patch (*.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) x) (patch (*.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) x) (patch (*.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) x) (patch (*.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 81 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) (patch (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) (patch (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) (patch (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) (patch (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@inf
((* (+ (* x -9) 6) x) (+ (* x -9) 6) (/ x (/ 1 (+ (* -9 x) 6))) (* (* x x) -9) (* x x) (* (* (- 2 (* x 3)) x) 3) (* (- 2 (* x 3)) x) (- 2 (* x 3)) (* -3 x) (/ (* 3 (- 2 (* x 3))) (/ 1 x)) (* 3 (- 2 (* x 3))) (/ 1 x) (/ (* (+ (* 81 (* x x)) -36) x) (+ (* -9 x) -6)) (* (+ (* 81 (* x x)) -36) x) (+ (* 81 (* x x)) -36))
3.0ms
x
@0
((* (+ (* x -9) 6) x) (+ (* x -9) 6) (/ x (/ 1 (+ (* -9 x) 6))) (* (* x x) -9) (* x x) (* (* (- 2 (* x 3)) x) 3) (* (- 2 (* x 3)) x) (- 2 (* x 3)) (* -3 x) (/ (* 3 (- 2 (* x 3))) (/ 1 x)) (* 3 (- 2 (* x 3))) (/ 1 x) (/ (* (+ (* 81 (* x x)) -36) x) (+ (* -9 x) -6)) (* (+ (* 81 (* x x)) -36) x) (+ (* 81 (* x x)) -36))
2.0ms
x
@-inf
((* (+ (* x -9) 6) x) (+ (* x -9) 6) (/ x (/ 1 (+ (* -9 x) 6))) (* (* x x) -9) (* x x) (* (* (- 2 (* x 3)) x) 3) (* (- 2 (* x 3)) x) (- 2 (* x 3)) (* -3 x) (/ (* 3 (- 2 (* x 3))) (/ 1 x)) (* 3 (- 2 (* x 3))) (/ 1 x) (/ (* (+ (* 81 (* x x)) -36) x) (+ (* -9 x) -6)) (* (+ (* 81 (* x x)) -36) x) (+ (* 81 (* x x)) -36))

simplify197.0ms (3.1%)

Memory
-6.8MiB live, 113.0MiB allocated
Algorithm
egg-herbie
Rules
4 334×lower-fma.f64
4 334×lower-fma.f32
2 712×lower-*.f64
2 712×lower-*.f32
1 578×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052948
1135948
2315948
3831948
42180948
55090948
67126948
08172849
Stop Event
iter limit
node limit
Counts
180 → 180
Calls
Call 1
Inputs
(* 6 x)
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
6
(+ 6 (* -9 x))
(+ 6 (* -9 x))
(+ 6 (* -9 x))
(* 6 x)
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 6 x)
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* 2 x)
(* x (+ 2 (* -3 x)))
(* x (+ 2 (* -3 x)))
(* x (+ 2 (* -3 x)))
2
(+ 2 (* -3 x))
(+ 2 (* -3 x))
(+ 2 (* -3 x))
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* 6 x)
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
6
(+ 6 (* -9 x))
(+ 6 (* -9 x))
(+ 6 (* -9 x))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(* 6 x)
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* -36 x)
(* x (- (* 81 (pow x 2)) 36))
(* x (- (* 81 (pow x 2)) 36))
(* x (- (* 81 (pow x 2)) 36))
-36
(- (* 81 (pow x 2)) 36)
(- (* 81 (pow x 2)) 36)
(- (* 81 (pow x 2)) 36)
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -9 x)
(* x (- (* 6 (/ 1 x)) 9))
(* x (- (* 6 (/ 1 x)) 9))
(* x (- (* 6 (/ 1 x)) 9))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -3 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 x)) 3))
(* (pow x 2) (- (* 2 (/ 1 x)) 3))
(* (pow x 2) (- (* 2 (/ 1 x)) 3))
(* -3 x)
(* x (- (* 2 (/ 1 x)) 3))
(* x (- (* 2 (/ 1 x)) 3))
(* x (- (* 2 (/ 1 x)) 3))
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -9 x)
(* x (- (* 6 (/ 1 x)) 9))
(* x (- (* 6 (/ 1 x)) 9))
(* x (- (* 6 (/ 1 x)) 9))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* 81 (pow x 3))
(* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2)))))
(* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2)))))
(* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2)))))
(* 81 (pow x 2))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -9 x)
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(* -9 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -3 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 x)) 3))
(* (pow x 2) (- (* 2 (/ 1 x)) 3))
(* (pow x 2) (- (* 2 (/ 1 x)) 3))
(* -3 x)
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -9 x)
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* 81 (pow x 3))
(* -1 (* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81)))
(* -1 (* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81)))
(* -1 (* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81)))
(* 81 (pow x 2))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))
Outputs
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
6
#s(literal 6 binary64)
(+ 6 (* -9 x))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(+ 6 (* -9 x))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(+ 6 (* -9 x))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* -9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -9 binary64))
(* -9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -9 binary64))
(* -9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -9 binary64))
(* -9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -9 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)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* -3 x)))
(*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)
(* x (+ 2 (* -3 x)))
(*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)
(* x (+ 2 (* -3 x)))
(*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)
2
#s(literal 2 binary64)
(+ 2 (* -3 x))
(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
(+ 2 (* -3 x))
(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
(+ 2 (* -3 x))
(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
(* -3 x)
(*.f64 #s(literal -3 binary64) x)
(* -3 x)
(*.f64 #s(literal -3 binary64) x)
(* -3 x)
(*.f64 #s(literal -3 binary64) x)
(* -3 x)
(*.f64 #s(literal -3 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
6
#s(literal 6 binary64)
(+ 6 (* -9 x))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(+ 6 (* -9 x))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(+ 6 (* -9 x))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* -36 x)
(*.f64 #s(literal -36 binary64) x)
(* x (- (* 81 (pow x 2)) 36))
(*.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) x)
(* x (- (* 81 (pow x 2)) 36))
(*.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) x)
(* x (- (* 81 (pow x 2)) 36))
(*.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) x)
-36
#s(literal -36 binary64)
(- (* 81 (pow x 2)) 36)
(fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64))
(- (* 81 (pow x 2)) 36)
(fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64))
(- (* 81 (pow x 2)) 36)
(fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64))
(* -9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -9 binary64))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* -9 x)
(*.f64 #s(literal -9 binary64) x)
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* -9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -9 binary64))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* -9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -9 binary64))
(* -9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -9 binary64))
(* -9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -9 binary64))
(* -9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -9 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)
(* -9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -9 binary64))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* -3 (pow x 2))
(*.f64 (*.f64 #s(literal -3 binary64) x) x)
(* (pow x 2) (- (* 2 (/ 1 x)) 3))
(*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)
(* (pow x 2) (- (* 2 (/ 1 x)) 3))
(*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)
(* (pow x 2) (- (* 2 (/ 1 x)) 3))
(*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)
(* -3 x)
(*.f64 #s(literal -3 binary64) x)
(* x (- (* 2 (/ 1 x)) 3))
(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
(* x (- (* 2 (/ 1 x)) 3))
(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
(* x (- (* 2 (/ 1 x)) 3))
(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
(* -3 x)
(*.f64 #s(literal -3 binary64) x)
(* -3 x)
(*.f64 #s(literal -3 binary64) x)
(* -3 x)
(*.f64 #s(literal -3 binary64) x)
(* -3 x)
(*.f64 #s(literal -3 binary64) x)
(* -9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -9 binary64))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* -9 x)
(*.f64 #s(literal -9 binary64) x)
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -9 binary64))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* 81 (pow x 3))
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 81 binary64))
(* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) x)
(* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) x)
(* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) x)
(* 81 (pow x 2))
(*.f64 #s(literal 81 binary64) (*.f64 x x))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64))
(* -9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -9 binary64))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* -9 x)
(*.f64 #s(literal -9 binary64) x)
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* -9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -9 binary64))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* -9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -9 binary64))
(* -9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -9 binary64))
(* -9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -9 binary64))
(* -9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -9 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)
(* -9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -9 binary64))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* -3 (pow x 2))
(*.f64 (*.f64 #s(literal -3 binary64) x) x)
(* (pow x 2) (- (* 2 (/ 1 x)) 3))
(*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)
(* (pow x 2) (- (* 2 (/ 1 x)) 3))
(*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)
(* (pow x 2) (- (* 2 (/ 1 x)) 3))
(*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)
(* -3 x)
(*.f64 #s(literal -3 binary64) x)
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
(* -3 x)
(*.f64 #s(literal -3 binary64) x)
(* -3 x)
(*.f64 #s(literal -3 binary64) x)
(* -3 x)
(*.f64 #s(literal -3 binary64) x)
(* -3 x)
(*.f64 #s(literal -3 binary64) x)
(* -9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -9 binary64))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* -9 x)
(*.f64 #s(literal -9 binary64) x)
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -9 binary64))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* 81 (pow x 3))
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 81 binary64))
(* -1 (* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81)))
(*.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) x)
(* -1 (* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81)))
(*.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) x)
(* -1 (* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81)))
(*.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) x)
(* 81 (pow x 2))
(*.f64 #s(literal 81 binary64) (*.f64 x x))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64))

rewrite464.0ms (7.4%)

Memory
4.5MiB live, 198.2MiB allocated
Rules
7 276×lower-fma.f32
7 270×lower-fma.f64
5 114×lower-*.f32
5 100×lower-*.f64
3 668×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033121
048113
1180109
2963103
08600100
Stop Event
iter limit
node limit
iter limit
Counts
15 → 1 152
Calls
Call 1
Inputs
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
#s(approx (/ x (/ 1 (+ (* -9 x) 6))) (*.f64 (*.f64 x x) #s(literal -9 binary64)))
(*.f64 (*.f64 x x) #s(literal -9 binary64))
(*.f64 x x)
(*.f64 (*.f64 #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) x) #s(literal 3 binary64))
(*.f64 #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) x)
#s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x))
(*.f64 #s(literal -3 binary64) x)
(/.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x))
#s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (*.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) x) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)))
(*.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) x)
(fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64))
Outputs
(*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -81 binary64) (*.f64 x x) #s(literal 36 binary64)) x) (fma.f64 #s(literal -81 binary64) (*.f64 x x) #s(literal 36 binary64))) (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))))
(*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -81 binary64) (*.f64 x x) #s(literal 36 binary64)) x) (fma.f64 #s(literal -81 binary64) (*.f64 x x) #s(literal 36 binary64))) (fma.f64 #s(literal -729 binary64) (*.f64 (*.f64 x x) x) #s(literal 216 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 81 binary64) (*.f64 x x) (+.f64 #s(literal 36 binary64) (*.f64 #s(literal 54 binary64) x)))))
(*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -81 binary64) (*.f64 x x) #s(literal 36 binary64)) x) (fma.f64 #s(literal -81 binary64) (*.f64 x x) #s(literal 36 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal 9 binary64) x #s(literal -6 binary64)))
(*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -81 binary64) (*.f64 x x) #s(literal 36 binary64)) x) (fma.f64 #s(literal -81 binary64) (*.f64 x x) #s(literal 36 binary64))) #s(literal 1 binary64)) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))
(*.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))) (fma.f64 (*.f64 #s(literal 6561 binary64) (*.f64 x x)) (*.f64 x x) #s(literal -1296 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -81 binary64) (*.f64 x x) #s(literal -36 binary64))))
(*.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))) (fma.f64 (*.f64 #s(literal 531441 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x) #s(literal -46656 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 6561 binary64) (*.f64 x x)) (*.f64 x x) (-.f64 #s(literal 1296 binary64) (*.f64 #s(literal -2916 binary64) (*.f64 x x))))))
(*.f64 (*.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) (/.f64 x (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)))) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))
(*.f64 (*.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) (/.f64 x (fma.f64 #s(literal -729 binary64) (*.f64 (*.f64 x x) x) #s(literal -216 binary64)))) (fma.f64 #s(literal 81 binary64) (*.f64 x x) (-.f64 #s(literal 36 binary64) (*.f64 #s(literal 54 binary64) x))))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))) (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64))) x)
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))) x) (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -81 binary64) (*.f64 x x) #s(literal 36 binary64)) x) (fma.f64 #s(literal -81 binary64) (*.f64 x x) #s(literal 36 binary64)))) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) x) (fma.f64 #s(literal -729 binary64) (*.f64 (*.f64 x x) x) #s(literal -216 binary64)))) (fma.f64 #s(literal 81 binary64) (*.f64 x x) (-.f64 #s(literal 36 binary64) (*.f64 #s(literal 54 binary64) x))))
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eval210.0ms (3.3%)

Memory
23.6MiB live, 410.5MiB allocated
Compiler

Compiled 27 008 to 2 123 computations (92.1% saved)

prune241.0ms (3.8%)

Memory
10.0MiB live, 377.3MiB allocated
Pruning

12 alts after pruning (4 fresh and 8 done)

PrunedKeptTotal
New1 36521 367
Fresh123
Picked145
Done044
Total1 367121 379
Accuracy
100.0%
Counts
1 379 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(fma.f64 x #s(literal 6 binary64) (*.f64 #s(literal -9 binary64) (*.f64 x x)))
49.3%
(/.f64 (*.f64 #s(approx (+ (* 81 (* x x)) -36) #s(literal -36 binary64)) x) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)))
50.2%
(/.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x))
53.0%
(/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) (/.f64 #s(literal -1/9 binary64) x)))
50.1%
(/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)))
50.1%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)))
99.7%
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
53.0%
(*.f64 (*.f64 #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) x) #s(literal 3 binary64))
53.0%
(*.f64 (*.f64 #s(literal 3 binary64) #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x))) x)
53.0%
(*.f64 #s(approx (* 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) x)
50.2%
(*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
53.0%
#s(approx (/ x (/ 1 (+ (* -9 x) 6))) (*.f64 (*.f64 x x) #s(literal -9 binary64)))
Compiler

Compiled 91 to 59 computations (35.2% saved)

simplify128.0ms (2%)

Memory
8.0MiB live, 40.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))
cost-diff0
#s(approx (+ (* 81 (* x x)) -36) #s(literal -36 binary64))
cost-diff0
(*.f64 #s(approx (+ (* 81 (* x x)) -36) #s(literal -36 binary64)) x)
cost-diff0
(/.f64 (*.f64 #s(approx (+ (* 81 (* x x)) -36) #s(literal -36 binary64)) x) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)))
cost-diff0
(/.f64 #s(literal -1/9 binary64) x)
cost-diff0
#s(approx (/ 1 (+ (* -9 x) 6)) (/.f64 #s(literal -1/9 binary64) x))
cost-diff0
(/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) (/.f64 #s(literal -1/9 binary64) x)))
cost-diff0
#s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))
cost-diff0
(/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)))
cost-diff0
#s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64))
cost-diff0
(*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)))
Rules
1 232×lower-fma.f32
1 230×lower-fma.f64
1 024×lower-*.f32
1 020×lower-*.f64
708×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033146
042142
166142
2101134
3142134
4243134
5322134
6492134
7687134
81033133
91592133
101687133
111785133
121851133
132335133
143359133
153857133
163919133
173965133
184038133
194080133
204084133
04084122
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x))
(*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
#s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64))
#s(literal 6 binary64)
x
(/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)))
x
#s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) (/.f64 #s(literal -1/9 binary64) x)))
x
#s(approx (/ 1 (+ (* -9 x) 6)) (/.f64 #s(literal -1/9 binary64) x))
(/.f64 #s(literal -1/9 binary64) x)
#s(literal -1/9 binary64)
(/.f64 (*.f64 #s(approx (+ (* 81 (* x x)) -36) #s(literal -36 binary64)) x) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)))
(*.f64 #s(approx (+ (* 81 (* x x)) -36) #s(literal -36 binary64)) x)
#s(approx (+ (* 81 (* x x)) -36) #s(literal -36 binary64))
#s(literal -36 binary64)
x
(fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))
#s(literal -9 binary64)
#s(literal -6 binary64)
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)))
(*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x))
(*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
#s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64))
#s(literal 6 binary64)
x
(/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)))
x
#s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) (/.f64 #s(literal -1/9 binary64) x)))
x
#s(approx (/ 1 (+ (* -9 x) 6)) (/.f64 #s(literal -1/9 binary64) x))
(/.f64 #s(literal -1/9 binary64) x)
#s(literal -1/9 binary64)
(/.f64 (*.f64 #s(approx (+ (* 81 (* x x)) -36) #s(literal -36 binary64)) x) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)))
(*.f64 (/.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))) #s(approx (+ (* 81 (* x x)) -36) #s(literal -36 binary64)))
(*.f64 #s(approx (+ (* 81 (* x x)) -36) #s(literal -36 binary64)) x)
#s(approx (+ (* 81 (* x x)) -36) #s(literal -36 binary64))
#s(literal -36 binary64)
x
(fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))
#s(literal -9 binary64)
#s(literal -6 binary64)

localize123.0ms (1.9%)

Memory
-12.0MiB live, 113.7MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))
accuracy0.07421875
(*.f64 #s(approx (+ (* 81 (* x x)) -36) #s(literal -36 binary64)) x)
accuracy4.995232874916473
(/.f64 (*.f64 #s(approx (+ (* 81 (* x x)) -36) #s(literal -36 binary64)) x) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)))
accuracy32.33133577695701
#s(approx (+ (* 81 (* x x)) -36) #s(literal -36 binary64))
accuracy0.2265625
(/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) (/.f64 #s(literal -1/9 binary64) x)))
accuracy0.40625
(/.f64 #s(literal -1/9 binary64) x)
accuracy30.80341603448309
#s(approx (/ 1 (+ (* -9 x) 6)) (/.f64 #s(literal -1/9 binary64) x))
accuracy0.2265625
(/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)))
accuracy31.83841639576176
#s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))
accuracy0.1640625
(*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
accuracy0.25
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)))
accuracy0.4044517671309059
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x))
accuracy32.01911827687261
#s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64))
Samples
82.0ms195×0valid
13.0ms30×1valid
11.0ms28×2valid
1.0ms3valid
Compiler

Compiled 124 to 30 computations (75.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 94.0ms
ival-mult: 57.0ms (60.9% of total)
ival-div: 20.0ms (21.4% of total)
const: 6.0ms (6.4% of total)
ival-add: 5.0ms (5.3% of total)
adjust: 3.0ms (3.2% of total)
ival-sub: 2.0ms (2.1% of total)
exact: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series14.0ms (0.2%)

Memory
-20.0MiB live, 17.7MiB allocated
Counts
13 → 156
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x) (patch (*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x) #<representation binary64>) () ())
#s(alt #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (patch #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))) (patch (/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)) (patch #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) (/.f64 #s(literal -1/9 binary64) x))) (patch (/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) (/.f64 #s(literal -1/9 binary64) x))) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (+ (* -9 x) 6)) (/.f64 #s(literal -1/9 binary64) x)) (patch #s(approx (/ 1 (+ (* -9 x) 6)) (/.f64 #s(literal -1/9 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1/9 binary64) x) (patch (/.f64 #s(literal -1/9 binary64) x) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 #s(approx (+ (* 81 (* x x)) -36) #s(literal -36 binary64)) x) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))) (patch (/.f64 (*.f64 #s(approx (+ (* 81 (* x x)) -36) #s(literal -36 binary64)) x) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 #s(approx (+ (* 81 (* x x)) -36) #s(literal -36 binary64)) x) (patch (*.f64 #s(approx (+ (* 81 (* x x)) -36) #s(literal -36 binary64)) x) #<representation binary64>) () ())
#s(alt #s(approx (+ (* 81 (* x x)) -36) #s(literal -36 binary64)) (patch #s(approx (+ (* 81 (* x x)) -36) #s(literal -36 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) (patch (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (* 6 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x))) #<representation binary64>) () ())) ())
#s(alt (/ 1/6 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/6 (* 1/4 x)) x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/6 (* x (+ 1/4 (* 3/8 x)))) x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1/6 (* x (+ 1/4 (* x (+ 3/8 (* 9/16 x)))))) x) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 6 x) (taylor 0 x) (#s(alt (*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x) (patch (*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x) (patch (*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x) (patch (*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x) (patch (*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt 6 (taylor 0 x) (#s(alt #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (patch #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 6 (* -9 x)) (taylor 0 x) (#s(alt #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (patch #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 6 (* -9 x)) (taylor 0 x) (#s(alt #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (patch #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 6 (* -9 x)) (taylor 0 x) (#s(alt #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (patch #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 6 x) (taylor 0 x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))) (patch (/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))) (patch (/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))) (patch (/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))) (patch (/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt 1/6 (taylor 0 x) (#s(alt #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)) (patch #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/6 (* 1/4 x)) (taylor 0 x) (#s(alt #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)) (patch #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/6 (* x (+ 1/4 (* 3/8 x)))) (taylor 0 x) (#s(alt #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)) (patch #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/6 (* x (+ 1/4 (* x (+ 3/8 (* 9/16 x)))))) (taylor 0 x) (#s(alt #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)) (patch #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 6 x) (taylor 0 x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) (/.f64 #s(literal -1/9 binary64) x))) (patch (/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) (/.f64 #s(literal -1/9 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) (/.f64 #s(literal -1/9 binary64) x))) (patch (/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) (/.f64 #s(literal -1/9 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) (/.f64 #s(literal -1/9 binary64) x))) (patch (/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) (/.f64 #s(literal -1/9 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 6 (* -9 x))) (taylor 0 x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) (/.f64 #s(literal -1/9 binary64) x))) (patch (/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) (/.f64 #s(literal -1/9 binary64) x))) #<representation binary64>) () ())) ())
#s(alt 1/6 (taylor 0 x) (#s(alt #s(approx (/ 1 (+ (* -9 x) 6)) (/.f64 #s(literal -1/9 binary64) x)) (patch #s(approx (/ 1 (+ (* -9 x) 6)) (/.f64 #s(literal -1/9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1/6 (* 1/4 x)) (taylor 0 x) (#s(alt #s(approx (/ 1 (+ (* -9 x) 6)) (/.f64 #s(literal -1/9 binary64) x)) (patch #s(approx (/ 1 (+ (* -9 x) 6)) (/.f64 #s(literal -1/9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1/6 (* x (+ 1/4 (* 3/8 x)))) (taylor 0 x) (#s(alt #s(approx (/ 1 (+ (* -9 x) 6)) (/.f64 #s(literal -1/9 binary64) x)) (patch #s(approx (/ 1 (+ (* -9 x) 6)) (/.f64 #s(literal -1/9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1/6 (* x (+ 1/4 (* x (+ 3/8 (* 9/16 x)))))) (taylor 0 x) (#s(alt #s(approx (/ 1 (+ (* -9 x) 6)) (/.f64 #s(literal -1/9 binary64) x)) (patch #s(approx (/ 1 (+ (* -9 x) 6)) (/.f64 #s(literal -1/9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ -1/9 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1/9 binary64) x) (patch (/.f64 #s(literal -1/9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1/9 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1/9 binary64) x) (patch (/.f64 #s(literal -1/9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1/9 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1/9 binary64) x) (patch (/.f64 #s(literal -1/9 binary64) x) #<representation binary64>) () ())) ())
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#s(alt (/ (- (* -1 (/ (+ 2/27 (* 4/81 (/ 1 x))) x)) 1/9) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 2/27 (+ (/ 8/243 (pow x 2)) (* 4/81 (/ 1 x)))) x)) 1/9) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)) (patch (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -9 (pow x 2)) (taylor -inf x) (#s(alt (*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x) (patch (*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor -inf x) (#s(alt (*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x) (patch (*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor -inf x) (#s(alt (*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x) (patch (*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor -inf x) (#s(alt (*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x) (patch (*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -9 x) (taylor -inf x) (#s(alt #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (patch #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 9 (* 6 (/ 1 x))))) (taylor -inf x) (#s(alt #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (patch #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 9 (* 6 (/ 1 x))))) (taylor -inf x) (#s(alt #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (patch #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 9 (* 6 (/ 1 x))))) (taylor -inf x) (#s(alt #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (patch #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -9 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))) (patch (/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor -inf x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))) (patch (/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor -inf x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))) (patch (/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor -inf x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))) (patch (/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ -1/9 x) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)) (patch #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x)) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)) (patch #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1/9 (+ (/ 4/81 (pow x 2)) (* 2/27 (/ 1 x)))) x)) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)) (patch #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) x)) 2/27) x))) x)) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)) (patch #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -9 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) (/.f64 #s(literal -1/9 binary64) x))) (patch (/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) (/.f64 #s(literal -1/9 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor -inf x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) (/.f64 #s(literal -1/9 binary64) x))) (patch (/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) (/.f64 #s(literal -1/9 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor -inf x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) (/.f64 #s(literal -1/9 binary64) x))) (patch (/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) (/.f64 #s(literal -1/9 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor -inf x) (#s(alt (/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) (/.f64 #s(literal -1/9 binary64) x))) (patch (/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) (/.f64 #s(literal -1/9 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (/ -1/9 x) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* -9 x) 6)) (/.f64 #s(literal -1/9 binary64) x)) (patch #s(approx (/ 1 (+ (* -9 x) 6)) (/.f64 #s(literal -1/9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x)) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* -9 x) 6)) (/.f64 #s(literal -1/9 binary64) x)) (patch #s(approx (/ 1 (+ (* -9 x) 6)) (/.f64 #s(literal -1/9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1/9 (+ (/ 4/81 (pow x 2)) (* 2/27 (/ 1 x)))) x)) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* -9 x) 6)) (/.f64 #s(literal -1/9 binary64) x)) (patch #s(approx (/ 1 (+ (* -9 x) 6)) (/.f64 #s(literal -1/9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) x)) 2/27) x))) x)) (taylor -inf x) (#s(alt #s(approx (/ 1 (+ (* -9 x) 6)) (/.f64 #s(literal -1/9 binary64) x)) (patch #s(approx (/ 1 (+ (* -9 x) 6)) (/.f64 #s(literal -1/9 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (/ -1/9 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1/9 binary64) x) (patch (/.f64 #s(literal -1/9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1/9 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1/9 binary64) x) (patch (/.f64 #s(literal -1/9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1/9 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1/9 binary64) x) (patch (/.f64 #s(literal -1/9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1/9 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1/9 binary64) x) (patch (/.f64 #s(literal -1/9 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -9 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(approx (+ (* 81 (* x x)) -36) #s(literal -36 binary64)) x) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))) (patch (/.f64 (*.f64 #s(approx (+ (* 81 (* x x)) -36) #s(literal -36 binary64)) x) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(approx (+ (* 81 (* x x)) -36) #s(literal -36 binary64)) x) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))) (patch (/.f64 (*.f64 #s(approx (+ (* 81 (* x x)) -36) #s(literal -36 binary64)) x) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(approx (+ (* 81 (* x x)) -36) #s(literal -36 binary64)) x) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))) (patch (/.f64 (*.f64 #s(approx (+ (* 81 (* x x)) -36) #s(literal -36 binary64)) x) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 6 (/ 1 x)) 9)) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(approx (+ (* 81 (* x x)) -36) #s(literal -36 binary64)) x) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))) (patch (/.f64 (*.f64 #s(approx (+ (* 81 (* x x)) -36) #s(literal -36 binary64)) x) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 81 (pow x 3)) (taylor -inf x) (#s(alt (*.f64 #s(approx (+ (* 81 (* x x)) -36) #s(literal -36 binary64)) x) (patch (*.f64 #s(approx (+ (* 81 (* x x)) -36) #s(literal -36 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81))) (taylor -inf x) (#s(alt (*.f64 #s(approx (+ (* 81 (* x x)) -36) #s(literal -36 binary64)) x) (patch (*.f64 #s(approx (+ (* 81 (* x x)) -36) #s(literal -36 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81))) (taylor -inf x) (#s(alt (*.f64 #s(approx (+ (* 81 (* x x)) -36) #s(literal -36 binary64)) x) (patch (*.f64 #s(approx (+ (* 81 (* x x)) -36) #s(literal -36 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81))) (taylor -inf x) (#s(alt (*.f64 #s(approx (+ (* 81 (* x x)) -36) #s(literal -36 binary64)) x) (patch (*.f64 #s(approx (+ (* 81 (* x x)) -36) #s(literal -36 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 81 (pow x 2)) (taylor -inf x) (#s(alt #s(approx (+ (* 81 (* x x)) -36) #s(literal -36 binary64)) (patch #s(approx (+ (* 81 (* x x)) -36) #s(literal -36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* 81 (* x x)) -36) #s(literal -36 binary64)) (patch #s(approx (+ (* 81 (* x x)) -36) #s(literal -36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* 81 (* x x)) -36) #s(literal -36 binary64)) (patch #s(approx (+ (* 81 (* x x)) -36) #s(literal -36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (+ (* 81 (* x x)) -36) #s(literal -36 binary64)) (patch #s(approx (+ (* 81 (* x x)) -36) #s(literal -36 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -9 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) (patch (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 9 (* 6 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) (patch (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 9 (* 6 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) (patch (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 9 (* 6 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) (patch (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
((/ 1 (/ 1 (* (* 3 (- 2 (* x 3))) x))) (/ 1 (* (* 3 (- 2 (* x 3))) x)) (* (* 3 (- 2 (* x 3))) x) (* 3 (- 2 (* x 3))) (/ x (/ 1 (+ (* -9 x) 6))) (/ 1 (+ (* -9 x) 6)) (/ x (/ 1 (+ (* -9 x) 6))) (/ 1 (+ (* -9 x) 6)) (/ -1/9 x) (/ (* (+ (* 81 (* x x)) -36) x) (+ (* -9 x) -6)) (* (+ (* 81 (* x x)) -36) x) (+ (* 81 (* x x)) -36) (+ (* -9 x) -6))
2.0ms
x
@inf
((/ 1 (/ 1 (* (* 3 (- 2 (* x 3))) x))) (/ 1 (* (* 3 (- 2 (* x 3))) x)) (* (* 3 (- 2 (* x 3))) x) (* 3 (- 2 (* x 3))) (/ x (/ 1 (+ (* -9 x) 6))) (/ 1 (+ (* -9 x) 6)) (/ x (/ 1 (+ (* -9 x) 6))) (/ 1 (+ (* -9 x) 6)) (/ -1/9 x) (/ (* (+ (* 81 (* x x)) -36) x) (+ (* -9 x) -6)) (* (+ (* 81 (* x x)) -36) x) (+ (* 81 (* x x)) -36) (+ (* -9 x) -6))
1.0ms
x
@0
((/ 1 (/ 1 (* (* 3 (- 2 (* x 3))) x))) (/ 1 (* (* 3 (- 2 (* x 3))) x)) (* (* 3 (- 2 (* x 3))) x) (* 3 (- 2 (* x 3))) (/ x (/ 1 (+ (* -9 x) 6))) (/ 1 (+ (* -9 x) 6)) (/ x (/ 1 (+ (* -9 x) 6))) (/ 1 (+ (* -9 x) 6)) (/ -1/9 x) (/ (* (+ (* 81 (* x x)) -36) x) (+ (* -9 x) -6)) (* (+ (* 81 (* x x)) -36) x) (+ (* 81 (* x x)) -36) (+ (* -9 x) -6))

simplify198.0ms (3.1%)

Memory
12.1MiB live, 167.7MiB allocated
Algorithm
egg-herbie
Rules
7 220×lower-fma.f64
7 220×lower-fma.f32
2 582×lower-*.f64
2 582×lower-*.f32
1 682×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01111042
12851030
27061012
315751012
434501012
566711012
08071913
Stop Event
iter limit
node limit
Counts
156 → 156
Calls
Call 1
Inputs
(* 6 x)
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(/ 1/6 x)
(/ (+ 1/6 (* 1/4 x)) x)
(/ (+ 1/6 (* x (+ 1/4 (* 3/8 x)))) x)
(/ (+ 1/6 (* x (+ 1/4 (* x (+ 3/8 (* 9/16 x)))))) x)
(* 6 x)
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
6
(+ 6 (* -9 x))
(+ 6 (* -9 x))
(+ 6 (* -9 x))
(* 6 x)
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
1/6
(+ 1/6 (* 1/4 x))
(+ 1/6 (* x (+ 1/4 (* 3/8 x))))
(+ 1/6 (* x (+ 1/4 (* x (+ 3/8 (* 9/16 x))))))
(* 6 x)
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
1/6
(+ 1/6 (* 1/4 x))
(+ 1/6 (* x (+ 1/4 (* 3/8 x))))
(+ 1/6 (* x (+ 1/4 (* x (+ 3/8 (* 9/16 x))))))
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(* 6 x)
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* x (+ 6 (* -9 x)))
(* -36 x)
(* x (- (* 81 (pow x 2)) 36))
(* x (- (* 81 (pow x 2)) 36))
(* x (- (* 81 (pow x 2)) 36))
-36
(- (* 81 (pow x 2)) 36)
(- (* 81 (pow x 2)) 36)
(- (* 81 (pow x 2)) 36)
-6
(- (* -9 x) 6)
(- (* -9 x) 6)
(- (* -9 x) 6)
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(/ -1/9 (pow x 2))
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) (pow x 2)))
(/ (- (* -1 (/ (+ 2/27 (* 4/81 (/ 1 x))) x)) 1/9) (pow x 2))
(/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) (pow x 2))) (+ 1/9 (* 2/27 (/ 1 x)))) (pow x 2))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -9 x)
(* x (- (* 6 (/ 1 x)) 9))
(* x (- (* 6 (/ 1 x)) 9))
(* x (- (* 6 (/ 1 x)) 9))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(/ -1/9 x)
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 2/27 (* 4/81 (/ 1 x))) x)) 1/9) x)
(/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) (pow x 2))) (+ 1/9 (* 2/27 (/ 1 x)))) x)
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(/ -1/9 x)
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 2/27 (* 4/81 (/ 1 x))) x)) 1/9) x)
(/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) (pow x 2))) (+ 1/9 (* 2/27 (/ 1 x)))) x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* 81 (pow x 3))
(* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2)))))
(* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2)))))
(* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2)))))
(* 81 (pow x 2))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))
(* -9 x)
(* -1 (* x (+ 9 (* 6 (/ 1 x)))))
(* -1 (* x (+ 9 (* 6 (/ 1 x)))))
(* -1 (* x (+ 9 (* 6 (/ 1 x)))))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(/ -1/9 (pow x 2))
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) (pow x 2)))
(/ (- (* -1 (/ (+ 2/27 (* 4/81 (/ 1 x))) x)) 1/9) (pow x 2))
(/ (- (* -1 (/ (+ 2/27 (+ (/ 8/243 (pow x 2)) (* 4/81 (/ 1 x)))) x)) 1/9) (pow x 2))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -9 x)
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(/ -1/9 x)
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x))
(* -1 (/ (+ 1/9 (+ (/ 4/81 (pow x 2)) (* 2/27 (/ 1 x)))) x))
(* -1 (/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) x)) 2/27) x))) x))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(/ -1/9 x)
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x))
(* -1 (/ (+ 1/9 (+ (/ 4/81 (pow x 2)) (* 2/27 (/ 1 x)))) x))
(* -1 (/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) x)) 2/27) x))) x))
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* 81 (pow x 3))
(* -1 (* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81)))
(* -1 (* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81)))
(* -1 (* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81)))
(* 81 (pow x 2))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))
(* -9 x)
(* -1 (* x (+ 9 (* 6 (/ 1 x)))))
(* -1 (* x (+ 9 (* 6 (/ 1 x)))))
(* -1 (* x (+ 9 (* 6 (/ 1 x)))))
Outputs
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(/ 1/6 x)
(/.f64 #s(literal 1/6 binary64) x)
(/ (+ 1/6 (* 1/4 x)) x)
(/.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/6 binary64)) x)
(/ (+ 1/6 (* x (+ 1/4 (* 3/8 x)))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 3/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/6 binary64)) x)
(/ (+ 1/6 (* x (+ 1/4 (* x (+ 3/8 (* 9/16 x)))))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 9/16 binary64) x #s(literal 3/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/6 binary64)) x)
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
6
#s(literal 6 binary64)
(+ 6 (* -9 x))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(+ 6 (* -9 x))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(+ 6 (* -9 x))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/4 x))
(fma.f64 #s(literal 1/4 binary64) x #s(literal 1/6 binary64))
(+ 1/6 (* x (+ 1/4 (* 3/8 x))))
(fma.f64 (fma.f64 #s(literal 3/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/6 binary64))
(+ 1/6 (* x (+ 1/4 (* x (+ 3/8 (* 9/16 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 9/16 binary64) x #s(literal 3/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/6 binary64))
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/4 x))
(fma.f64 #s(literal 1/4 binary64) x #s(literal 1/6 binary64))
(+ 1/6 (* x (+ 1/4 (* 3/8 x))))
(fma.f64 (fma.f64 #s(literal 3/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/6 binary64))
(+ 1/6 (* x (+ 1/4 (* x (+ 3/8 (* 9/16 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 9/16 binary64) x #s(literal 3/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/6 binary64))
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(* 6 x)
(*.f64 x #s(literal 6 binary64))
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* -36 x)
(*.f64 #s(literal -36 binary64) x)
(* x (- (* 81 (pow x 2)) 36))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64)) x)
(* x (- (* 81 (pow x 2)) 36))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64)) x)
(* x (- (* 81 (pow x 2)) 36))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64)) x)
-36
#s(literal -36 binary64)
(- (* 81 (pow x 2)) 36)
(fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64))
(- (* 81 (pow x 2)) 36)
(fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64))
(- (* 81 (pow x 2)) 36)
(fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64))
-6
#s(literal -6 binary64)
(- (* -9 x) 6)
(fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))
(- (* -9 x) 6)
(fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))
(- (* -9 x) 6)
(fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))
(* -9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -9 binary64))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(/ -1/9 (pow x 2))
(/.f64 #s(literal -1/9 binary64) (*.f64 x x))
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) (pow x 2)))
(/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 2/27 binary64) x)) (*.f64 x x))
(/ (- (* -1 (/ (+ 2/27 (* 4/81 (/ 1 x))) x)) 1/9) (pow x 2))
(/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) x) #s(literal -2/27 binary64)) x)) (*.f64 x x))
(/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) (pow x 2))) (+ 1/9 (* 2/27 (/ 1 x)))) (pow x 2))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2/27 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8/243 binary64) x) #s(literal -4/81 binary64)) x)) x) #s(literal 1/9 binary64)) (*.f64 x x))
(* -9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -9 binary64))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* -9 x)
(*.f64 #s(literal -9 binary64) x)
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* -9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -9 binary64))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x))
(/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 2/27 binary64) x)) x)
(/ (- (* -1 (/ (+ 2/27 (* 4/81 (/ 1 x))) x)) 1/9) x)
(/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) x) #s(literal -2/27 binary64)) x)) x)
(/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) (pow x 2))) (+ 1/9 (* 2/27 (/ 1 x)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2/27 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8/243 binary64) x) #s(literal -4/81 binary64)) x)) x) #s(literal 1/9 binary64)) x)
(* -9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -9 binary64))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x))
(/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 2/27 binary64) x)) x)
(/ (- (* -1 (/ (+ 2/27 (* 4/81 (/ 1 x))) x)) 1/9) x)
(/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) x) #s(literal -2/27 binary64)) x)) x)
(/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) (pow x 2))) (+ 1/9 (* 2/27 (/ 1 x)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2/27 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8/243 binary64) x) #s(literal -4/81 binary64)) x)) x) #s(literal 1/9 binary64)) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(* -9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -9 binary64))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* 81 (pow x 3))
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 81 binary64))
(* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64)) x)
(* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64)) x)
(* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64)) x)
(* 81 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 81 binary64))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64))
(* -9 x)
(*.f64 #s(literal -9 binary64) x)
(* -1 (* x (+ 9 (* 6 (/ 1 x)))))
(fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))
(* -1 (* x (+ 9 (* 6 (/ 1 x)))))
(fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))
(* -1 (* x (+ 9 (* 6 (/ 1 x)))))
(fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))
(* -9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -9 binary64))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(/ -1/9 (pow x 2))
(/.f64 #s(literal -1/9 binary64) (*.f64 x x))
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) (pow x 2)))
(/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 2/27 binary64) x)) (*.f64 x x))
(/ (- (* -1 (/ (+ 2/27 (* 4/81 (/ 1 x))) x)) 1/9) (pow x 2))
(/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) x) #s(literal -2/27 binary64)) x)) (*.f64 x x))
(/ (- (* -1 (/ (+ 2/27 (+ (/ 8/243 (pow x 2)) (* 4/81 (/ 1 x)))) x)) 1/9) (pow x 2))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2/27 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8/243 binary64) x) #s(literal -4/81 binary64)) x)) x) #s(literal 1/9 binary64)) (*.f64 x x))
(* -9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -9 binary64))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* -9 x)
(*.f64 #s(literal -9 binary64) x)
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* -9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -9 binary64))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x))
(/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 2/27 binary64) x)) x)
(* -1 (/ (+ 1/9 (+ (/ 4/81 (pow x 2)) (* 2/27 (/ 1 x)))) x))
(/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) x) #s(literal -2/27 binary64)) x)) x)
(* -1 (/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) x)) 2/27) x))) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2/27 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8/243 binary64) x) #s(literal -4/81 binary64)) x)) x) #s(literal 1/9 binary64)) x)
(* -9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -9 binary64))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x))
(/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 2/27 binary64) x)) x)
(* -1 (/ (+ 1/9 (+ (/ 4/81 (pow x 2)) (* 2/27 (/ 1 x)))) x))
(/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) x) #s(literal -2/27 binary64)) x)) x)
(* -1 (/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) x)) 2/27) x))) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2/27 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8/243 binary64) x) #s(literal -4/81 binary64)) x)) x) #s(literal 1/9 binary64)) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(* -9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -9 binary64))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* 81 (pow x 3))
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 81 binary64))
(* -1 (* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81)))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64)) x)
(* -1 (* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81)))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64)) x)
(* -1 (* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81)))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64)) x)
(* 81 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 81 binary64))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64))
(* -9 x)
(*.f64 #s(literal -9 binary64) x)
(* -1 (* x (+ 9 (* 6 (/ 1 x)))))
(fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))
(* -1 (* x (+ 9 (* 6 (/ 1 x)))))
(fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))
(* -1 (* x (+ 9 (* 6 (/ 1 x)))))
(fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))

rewrite146.0ms (2.3%)

Memory
7.0MiB live, 240.9MiB allocated
Rules
6 854×lower-fma.f32
6 852×lower-fma.f64
4 862×lower-*.f32
4 858×lower-*.f64
3 514×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033135
042131
1165131
2952123
08113112
Stop Event
iter limit
node limit
iter limit
Counts
13 → 480
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x))
(*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
#s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64))
(/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)))
#s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))
(/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) (/.f64 #s(literal -1/9 binary64) x)))
#s(approx (/ 1 (+ (* -9 x) 6)) (/.f64 #s(literal -1/9 binary64) x))
(/.f64 #s(literal -1/9 binary64) x)
(/.f64 (*.f64 #s(approx (+ (* 81 (* x x)) -36) #s(literal -36 binary64)) x) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)))
(*.f64 #s(approx (+ (* 81 (* x x)) -36) #s(literal -36 binary64)) x)
#s(approx (+ (* 81 (* x x)) -36) #s(literal -36 binary64))
(fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)))) (neg.f64 x))
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(-.f64 (/.f64 #s(literal 36 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal -6 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) (fma.f64 #s(literal 9 binary64) x #s(literal -6 binary64))))
(-.f64 (/.f64 (*.f64 #s(literal -729 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 x (-.f64 (*.f64 #s(literal 81 binary64) x) #s(literal 54 binary64)) #s(literal 36 binary64))) (/.f64 #s(literal 216 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 81 binary64) x) #s(literal 54 binary64)) #s(literal 36 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 6561 binary64) (*.f64 x x)) x) (/.f64 x (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal 36 binary64)))) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) (/.f64 (/.f64 #s(literal -1296 binary64) (fma.f64 #s(literal -81 binary64) (*.f64 x x) #s(literal -36 binary64))) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))))
(-.f64 (*.f64 (*.f64 #s(literal 81 binary64) x) (/.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))) (/.f64 #s(literal 36 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))))
(-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)))
(-.f64 (*.f64 #s(literal -9 binary64) x) #s(literal 6 binary64))
(+.f64 (*.f64 (*.f64 #s(literal 81 binary64) x) (/.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))) (neg.f64 (/.f64 #s(literal 36 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))))
(+.f64 #s(literal -6 binary64) (*.f64 #s(literal -9 binary64) x))
(+.f64 (*.f64 #s(literal -9 binary64) x) #s(literal -6 binary64))

eval132.0ms (2.1%)

Memory
-14.2MiB live, 156.2MiB allocated
Compiler

Compiled 9 876 to 1 244 computations (87.4% saved)

prune236.0ms (3.8%)

Memory
25.0MiB live, 107.1MiB allocated
Pruning

11 alts after pruning (2 fresh and 9 done)

PrunedKeptTotal
New6342636
Fresh000
Picked224
Done178
Total63711648
Accuracy
100.0%
Counts
648 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(fma.f64 x #s(literal 6 binary64) (*.f64 #s(literal -9 binary64) (*.f64 x x)))
50.2%
(/.f64 (*.f64 #s(approx (+ (* 81 (* x x)) -36) #s(literal -36 binary64)) x) #s(approx (+ (* -9 x) -6) #s(literal -6 binary64)))
53.0%
(/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) (/.f64 #s(literal -1/9 binary64) x)))
50.1%
(/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)))
99.7%
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
49.3%
(*.f64 (/.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))) #s(approx (+ (* 81 (* x x)) -36) #s(literal -36 binary64)))
53.0%
(*.f64 (*.f64 #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) x) #s(literal 3 binary64))
53.0%
(*.f64 (*.f64 #s(literal 3 binary64) #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x))) x)
53.0%
(*.f64 #s(approx (* 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) x)
50.2%
(*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
53.0%
#s(approx (/ x (/ 1 (+ (* -9 x) 6))) (*.f64 (*.f64 x x) #s(literal -9 binary64)))
Compiler

Compiled 260 to 118 computations (54.6% saved)

regimes105.0ms (1.7%)

Memory
-17.8MiB live, 19.3MiB allocated
Counts
22 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
#s(approx (* (* 3 (- 2 (* x 3))) x) (*.f64 (*.f64 x x) #s(literal -9 binary64)))
#s(approx (/ x (/ 1 (+ (* -9 x) 6))) (*.f64 (*.f64 x x) #s(literal -9 binary64)))
(*.f64 #s(approx (* 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) x)
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
(/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)))
(*.f64 (*.f64 #s(literal 3 binary64) #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x))) x)
(*.f64 (*.f64 #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) x) #s(literal 3 binary64))
(*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) (*.f64 x #s(literal 3 binary64)))
(/.f64 (*.f64 #s(approx (+ (* 81 (* x x)) -36) #s(literal -36 binary64)) x) #s(approx (+ (* -9 x) -6) #s(literal -6 binary64)))
(fma.f64 x #s(literal 6 binary64) (*.f64 #s(literal -9 binary64) (*.f64 x x)))
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
(*.f64 (/.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))) #s(approx (+ (* 81 (* x x)) -36) #s(literal -36 binary64)))
(/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) (/.f64 #s(literal -1/9 binary64) x)))
(/.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 #s(approx (+ (* 81 (* x x)) -36) #s(literal -36 binary64)) x) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)))
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)))
(/.f64 (*.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) x) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 36 binary64) (*.f64 #s(literal 81 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 6 binary64) (*.f64 #s(literal -9 binary64) x)))) x)
Outputs
(fma.f64 x #s(literal 6 binary64) (*.f64 #s(literal -9 binary64) (*.f64 x x)))
Calls

2 calls:

98.0ms
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
6.0ms
x
Results
AccuracySegmentsBranch
99.8%1x
99.8%1(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory
9.9MiB live, 9.9MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
#s(approx (* (* 3 (- 2 (* x 3))) x) (*.f64 (*.f64 x x) #s(literal -9 binary64)))
#s(approx (/ x (/ 1 (+ (* -9 x) 6))) (*.f64 (*.f64 x x) #s(literal -9 binary64)))
(*.f64 #s(approx (* 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) x)
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
(/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)))
(*.f64 (*.f64 #s(literal 3 binary64) #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x))) x)
(*.f64 (*.f64 #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)) x) #s(literal 3 binary64))
(*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) (*.f64 x #s(literal 3 binary64)))
(/.f64 (*.f64 #s(approx (+ (* 81 (* x x)) -36) #s(literal -36 binary64)) x) #s(approx (+ (* -9 x) -6) #s(literal -6 binary64)))
Outputs
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
Calls

2 calls:

3.0ms
x
3.0ms
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
Results
AccuracySegmentsBranch
99.7%1x
99.7%1(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes4.0ms (0.1%)

Memory
7.8MiB live, 7.8MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
(*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
#s(approx (* (* 3 (- 2 (* x 3))) x) (*.f64 (*.f64 x x) #s(literal -9 binary64)))
#s(approx (/ x (/ 1 (+ (* -9 x) 6))) (*.f64 (*.f64 x x) #s(literal -9 binary64)))
(*.f64 #s(approx (* 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) x)
Outputs
(*.f64 #s(approx (* 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) x)
(*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
Calls

2 calls:

2.0ms
x
2.0ms
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
Results
AccuracySegmentsBranch
98.5%3x
98.5%2(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes2.0ms (0%)

Memory
3.6MiB live, 3.6MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
(*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
#s(approx (* (* 3 (- 2 (* x 3))) x) (*.f64 (*.f64 x x) #s(literal -9 binary64)))
#s(approx (/ x (/ 1 (+ (* -9 x) 6))) (*.f64 (*.f64 x x) #s(literal -9 binary64)))
Outputs
#s(approx (* (* 3 (- 2 (* x 3))) x) (*.f64 (*.f64 x x) #s(literal -9 binary64)))
(*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
Calls

1 calls:

2.0ms
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
Results
AccuracySegmentsBranch
98.4%2(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
Compiler

Compiled 10 to 7 computations (30% saved)

regimes92.0ms (1.5%)

Memory
-31.5MiB live, 5.5MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
Outputs
(*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
Calls

2 calls:

91.0ms
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
1.0ms
x
Results
AccuracySegmentsBranch
50.2%1x
50.2%1(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
Compiler

Compiled 12 to 8 computations (33.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-9152038753951.465
-0.0004975121521318327
Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-9152038753951.465
-0.0004975121521318327
Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify7.0ms (0.1%)

Memory
14.3MiB live, 14.3MiB allocated
Algorithm
egg-herbie
Rules
22×*-commutative_binary64
+-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02999
14299
25499
36099
46499
56599
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 x #s(literal 6 binary64) (*.f64 #s(literal -9 binary64) (*.f64 x x)))
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) #s(literal -5000000000000 binary64)) (*.f64 #s(approx (* 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) x) (*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x))
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) #s(literal -5000000000000 binary64)) #s(approx (* (* 3 (- 2 (* x 3))) x) (*.f64 (*.f64 x x) #s(literal -9 binary64))) (*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x))
(*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
Outputs
(fma.f64 x #s(literal 6 binary64) (*.f64 #s(literal -9 binary64) (*.f64 x x)))
(fma.f64 x #s(literal 6 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64)))
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) #s(literal -5000000000000 binary64)) (*.f64 #s(approx (* 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) x) (*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x))
(if (<=.f64 (*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) x) #s(literal -5000000000000 binary64)) (*.f64 #s(approx (* 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x)) x) (*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x))
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) #s(literal -5000000000000 binary64)) #s(approx (* (* 3 (- 2 (* x 3))) x) (*.f64 (*.f64 x x) #s(literal -9 binary64))) (*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x))
(if (<=.f64 (*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) x) #s(literal -5000000000000 binary64)) #s(approx (* (* 3 (- 2 (* x 3))) x) (*.f64 (*.f64 x x) #s(literal -9 binary64))) (*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x))
(*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)

soundness659.0ms (10.5%)

Memory
-1.7MiB live, 312.5MiB allocated
Rules
15 340×lower-fma.f64
15 340×lower-fma.f32
4 142×lower-*.f32
4 136×lower-*.f64
3 650×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032216
182216
2169216
3406216
4986216
51305216
62534216
74986216
86846216
97939216
08285189
0724
01124
13524
221020
3172820
0954617
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 121 to 61 computations (49.6% saved)

preprocess77.0ms (1.2%)

Memory
-1.6MiB live, 164.3MiB allocated
Compiler

Compiled 166 to 70 computations (57.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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