Expression 3, p15

Time bar (total: 4.1s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%25%75%0%0%0%0
100%25%0%75%0%0%0%1
Compiler

Compiled 17 to 10 computations (41.2% saved)

sample910.0ms (22.1%)

Memory
-3.2MiB live, 1 098.2MiB allocated
Samples
680.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 401.0ms
ival-mult: 148.0ms (36.9% of total)
ival-<=: 146.0ms (36.4% of total)
ival-add: 85.0ms (21.2% of total)
ival-and: 10.0ms (2.5% of total)
exact: 9.0ms (2.2% of total)
ival-assert: 3.0ms (0.7% of total)
Bogosity

explain59.0ms (1.4%)

Memory
20.1MiB live, 104.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
00-0-(*.f64 x (*.f64 x x))
00-0-(*.f64 x x)
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
18.0ms512×0valid
Compiler

Compiled 49 to 16 computations (67.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 6.0ms (67.7% of total)
ival-add: 2.0ms (22.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess39.0ms (0.9%)

Memory
-19.2MiB live, 18.5MiB allocated
Algorithm
1×egg-herbie
Rules
68×associate-*r*
62×distribute-lft-neg-in
54×sub-neg
42×lower-*.f32
38×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0617
13114
211314
330914
441814
542214
049
077
1167
2247
3337
4417
5517
6547
0546
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
Outputs
(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
Compiler

Compiled 9 to 4 computations (55.6% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
Compiler

Compiled 9 to 4 computations (55.6% saved)

simplify4.0ms (0.1%)

Memory
3.7MiB live, 3.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff-5824
(*.f64 x (*.f64 x x))
cost-diff0
(*.f64 x x)
cost-diff128
(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
Rules
42×lower-*.f32
38×lower-*.f64
28×lower-fma.f64
28×lower-fma.f32
18×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0418
0714
11614
22414
33314
44114
55114
65414
05413
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
(*.f64 x (*.f64 x x))
x
(*.f64 x x)
Outputs
(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(*.f64 x (*.f64 x x))
(pow.f64 x #s(literal 3 binary64))
x
(*.f64 x x)

localize13.0ms (0.3%)

Memory
14.7MiB live, 14.7MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 x x)
accuracy0.0234375
(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
accuracy0.09765625
(*.f64 x (*.f64 x x))
Samples
9.0ms256×0valid
Compiler

Compiled 20 to 6 computations (70% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 3.0ms (69.3% of total)
ival-add: 1.0ms (23.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series12.0ms (0.3%)

Memory
-31.1MiB live, 5.4MiB allocated
Counts
3 → 36
Calls
Call 1
Inputs
#s(alt (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (patch (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) #<representation:binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())
#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation:binary64>) () ())
Outputs
#s(alt (pow x 2) (taylor 0 x) (#s(alt (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (patch (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 x)) (taylor 0 x) (#s(alt (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (patch (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 x)) (taylor 0 x) (#s(alt (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (patch (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 x)) (taylor 0 x) (#s(alt (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (patch (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (patch (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (patch (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (patch (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (patch (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (patch (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (patch (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (patch (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (patch (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation:binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
10.0ms
x
@-inf
((+ (* x (* x x)) (* x x)) (* x x) (* x (* x x)))
1.0ms
x
@inf
((+ (* x (* x x)) (* x x)) (* x x) (* x (* x x)))
1.0ms
x
@0
((+ (* x (* x x)) (* x x)) (* x x) (* x (* x x)))

simplify465.0ms (11.3%)

Memory
7.2MiB live, 118.7MiB allocated
Algorithm
1×egg-herbie
Rules
5 604×lower-*.f64
5 604×lower-*.f32
3 550×cube-prod
2 370×lower-/.f32
2 370×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011144
130144
264144
3103144
4286144
51326144
62335144
73183144
83904144
94731144
105074144
115337144
125549144
135769144
145852144
156642144
167744144
08032135
Stop Event
1×iter limit
1×node limit
Counts
36 → 36
Calls
Call 1
Inputs
(pow x 2)
(* (pow x 2) (+ 1 x))
(* (pow x 2) (+ 1 x))
(* (pow x 2) (+ 1 x))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
Outputs
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 x))
(*.f64 (fma.f64 x x x) x)
(* (pow x 2) (+ 1 x))
(*.f64 (fma.f64 x x x) x)
(* (pow x 2) (+ 1 x))
(*.f64 (fma.f64 x x x) x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 (fma.f64 x x x) x)
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 (fma.f64 x x x) x)
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 (fma.f64 x x x) x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 (fma.f64 x x x) x)
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 (fma.f64 x x x) x)
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 (fma.f64 x x x) x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))

rewrite422.0ms (10.3%)

Memory
22.3MiB live, 318.2MiB allocated
Rules
10 118×lower-fma.f64
10 118×lower-fma.f32
4 498×lower-/.f64
4 498×lower-/.f32
3 492×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0417
0713
13013
219913
3176813
0845011
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
3 → 249
Calls
Call 1
Inputs
(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
(*.f64 x x)
(*.f64 x (*.f64 x x))
Outputs
(*.f64 (pow.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) x) x) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 8 binary64)))) #s(literal -1 binary64)) (pow.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) x) x) (-.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 x #s(literal 12 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (hypot.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 12 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 x #s(literal 12 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) (hypot.f64 (pow.f64 x #s(literal 27/2 binary64)) (pow.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (hypot.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 15 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 x (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 (*.f64 x x) x) (*.f64 (-.f64 (*.f64 x x) x) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))))
(*.f64 (/.f64 (hypot.f64 (pow.f64 x #s(literal 9/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(*.f64 (/.f64 (hypot.f64 (pow.f64 x #s(literal 9/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 18 binary64)))) (fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (-.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 12 binary64))))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 (*.f64 x x) x) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64)))) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) x))
(*.f64 (-.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x x)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) x) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 x (hypot.f64 (pow.f64 x #s(literal 5/2 binary64)) x)) x) (pow.f64 (-.f64 (hypot.f64 (*.f64 x x) x) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 8 binary64))) (pow.f64 (*.f64 (-.f64 (*.f64 x x) x) x) #s(literal -1 binary64))) (pow.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 x #s(literal 12 binary64))) (pow.f64 (*.f64 (-.f64 (*.f64 x x) x) x) #s(literal -1 binary64))) (pow.f64 (+.f64 (hypot.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 12 binary64))) #s(literal -1 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 x x) x) x) (+.f64 (hypot.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 12 binary64)))) (-.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 x #s(literal 12 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 x #s(literal 12 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) (-.f64 (hypot.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 15 binary64)))) (hypot.f64 (pow.f64 x #s(literal 27/2 binary64)) (pow.f64 x #s(literal 9 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) x) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) x) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (-.f64 (*.f64 x x) x) x))
(/.f64 (hypot.f64 (pow.f64 x #s(literal 9/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))))
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 (*.f64 x x) x) x)) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) x)))
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64)))) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) x)))
(neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (neg.f64 x) (-.f64 (*.f64 x x) x))))
(neg.f64 (/.f64 (hypot.f64 (pow.f64 x #s(literal 9/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))))))
(fma.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) (*.f64 x x))
(fma.f64 (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 x x))
(fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x x) x))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64)))) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) x) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x x) x))))
(fma.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 (neg.f64 x) (-.f64 (*.f64 x x) x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x x) x))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x x))
(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 x x) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x x) x))))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x x))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x x) x))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (*.f64 x x) (*.f64 (-.f64 (*.f64 x x) x) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x x) x))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal -1 binary64)) (*.f64 x x))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 x (-.f64 (*.f64 x x) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x x) x))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 (*.f64 x x) x) x) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x x) x))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (-.f64 (*.f64 x x) x) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x x) x))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x x) x))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64) (*.f64 x x))
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x x) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x x) x))))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (*.f64 x x) x (*.f64 x x))
(fma.f64 x (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (-.f64 (*.f64 x x) x) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x x) x))))
(fma.f64 x (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x x) x))))
(fma.f64 x (*.f64 x x) (*.f64 x x))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 x x) x)) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 x x) x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x x) x)))) (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x x) x)) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 x x) x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x x) x)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 15 binary64)) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 x x) x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x x) x)) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 x x) x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x x) x)))))) (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 x x) x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x x) x)) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 x x) x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x x) x)))))))
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.f64 (*.f64 x x) x) x)) (pow.f64 (*.f64 (-.f64 (*.f64 x x) x) x) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 x x) x) x) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 (-.f64 (*.f64 x x) x) x) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 x x) x) x) (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x)))) (/.f64 (pow.f64 x #s(literal 8 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 x x) x) x) (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 18 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 x x) x) x) (+.f64 (hypot.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 12 binary64))))) (/.f64 (pow.f64 x #s(literal 12 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 x x) x) x) (+.f64 (hypot.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 12 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 18 binary64)) (*.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 6 binary64))))) (/.f64 (pow.f64 x #s(literal 12 binary64)) (*.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 6 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))))) (/.f64 (hypot.f64 (pow.f64 x #s(literal 9/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x))) (*.f64 (-.f64 (*.f64 x x) x) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x))) (*.f64 (-.f64 (*.f64 x x) x) x)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 (hypot.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 12 binary64)))) (*.f64 (-.f64 (*.f64 x x) x) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (hypot.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 12 binary64)))) (*.f64 (-.f64 (*.f64 x x) x) x)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 18 binary64)) (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (-.f64 (*.f64 x x) x))) (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (neg.f64 x) (-.f64 (*.f64 x x) x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 x x)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 x (-.f64 x (*.f64 x x)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 x x) x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x x) x)))
(hypot.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) x)
(hypot.f64 (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) x)
(hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) x)
(hypot.f64 x (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(hypot.f64 x (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(hypot.f64 x (pow.f64 x #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 x x) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x x) x))))
(+.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x))
(+.f64 (*.f64 x x) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 x (pow.f64 x #s(literal 3 binary64))))
(/.f64 (pow.f64 x #s(literal 3 binary64)) x)
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 x x) x)
(*.f64 x (*.f64 x x))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 x))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3/4 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(/.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 x (pow.f64 x #s(literal 4 binary64))))
(/.f64 (pow.f64 x #s(literal 4 binary64)) x)
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))

eval32.0ms (0.8%)

Memory
3.4MiB live, 78.7MiB allocated
Compiler

Compiled 6 501 to 704 computations (89.2% saved)

prune27.0ms (0.7%)

Memory
-21.5MiB live, 23.1MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New3046310
Fresh000
Picked101
Done000
Total3056311
Accuracy
100.0%
Counts
311 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(fma.f64 (*.f64 x x) x (*.f64 x x))
▶100.0%
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
100.0%
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)) (-.f64 x #s(literal 1 binary64)))
▶100.0%
(*.f64 (fma.f64 x x x) x)
▶100.0%
(*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))
▶97.5%
#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x))
Compiler

Compiled 86 to 52 computations (39.5% saved)

simplify5.0ms (0.1%)

Memory
7.9MiB live, 7.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff-5824
(fma.f64 (*.f64 x x) x (*.f64 x x))
cost-diff0
(*.f64 x x)
cost-diff-6016
(*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))
cost-diff0
(*.f64 x x)
cost-diff0
(+.f64 #s(literal 1 binary64) x)
cost-diff-6144
(*.f64 (fma.f64 x x x) x)
cost-diff0
(fma.f64 x x x)
cost-diff0
(*.f64 x x)
cost-diff0
#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x))
cost-diff0
(pow.f64 x #s(literal 3 binary64))
cost-diff0
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
Rules
42×lower-*.f32
36×lower-*.f64
28×lower-fma.f32
22×lower-fma.f64
14×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01566
02560
13660
24560
35360
46360
56560
06560
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
x
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x))
(*.f64 x x)
x
(*.f64 (fma.f64 x x x) x)
(fma.f64 x x x)
x
(*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 x x)
(fma.f64 (*.f64 x x) x (*.f64 x x))
(*.f64 x x)
x
Outputs
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
x
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x))
(*.f64 x x)
x
(*.f64 (fma.f64 x x x) x)
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(fma.f64 x x x)
x
(*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 x x)
(fma.f64 (*.f64 x x) x (*.f64 x x))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(*.f64 x x)
x

localize72.0ms (1.8%)

Memory
13.4MiB live, 90.2MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 x x)
accuracy0.0234375
(fma.f64 (*.f64 x x) x (*.f64 x x))
accuracy0
(+.f64 #s(literal 1 binary64) x)
accuracy0
(*.f64 x x)
accuracy0.02734375
(*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))
accuracy0
(fma.f64 x x x)
accuracy0.03125
(*.f64 (fma.f64 x x x) x)
accuracy0
(*.f64 x x)
accuracy1.6159612263426208
#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x))
accuracy0
(pow.f64 x #s(literal 3 binary64))
accuracy0.00390625
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
Samples
27.0ms256×0valid
Compiler

Compiled 68 to 16 computations (76.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 7.0ms (43.7% of total)
ival-add: 5.0ms (31.2% of total)
ival-pow: 3.0ms (18.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.2%)

Memory
-19.9MiB live, 18.0MiB allocated
Counts
9 → 108
Calls
Call 1
Inputs
#s(alt (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) (patch (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) #<representation:binary64>) () ())
#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation:binary64>) () ())
#s(alt #s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) (patch #s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) #<representation:binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())
#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation:binary64>) () ())
#s(alt (*.f64 (fma.f64 x x x) x) (patch (*.f64 (fma.f64 x x x) x) #<representation:binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation:binary64>) () ())
#s(alt (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) (patch (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) #<representation:binary64>) () ())
#s(alt (fma.f64 (*.f64 x x) x (*.f64 x x)) (patch (fma.f64 (*.f64 x x) x (*.f64 x x)) #<representation:binary64>) () ())
Outputs
#s(alt (pow x 2) (taylor 0 x) (#s(alt (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) (patch (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 x)) (taylor 0 x) (#s(alt (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) (patch (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 x)) (taylor 0 x) (#s(alt (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) (patch (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 x)) (taylor 0 x) (#s(alt (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) (patch (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) #<representation:binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation:binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation:binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation:binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt #s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) (patch #s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 x)) (taylor 0 x) (#s(alt #s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) (patch #s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 x)) (taylor 0 x) (#s(alt #s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) (patch #s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 x)) (taylor 0 x) (#s(alt #s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) (patch #s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 (fma.f64 x x x) x) (patch (*.f64 (fma.f64 x x x) x) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 x)) (taylor 0 x) (#s(alt (*.f64 (fma.f64 x x x) x) (patch (*.f64 (fma.f64 x x x) x) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 x)) (taylor 0 x) (#s(alt (*.f64 (fma.f64 x x x) x) (patch (*.f64 (fma.f64 x x x) x) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 x)) (taylor 0 x) (#s(alt (*.f64 (fma.f64 x x x) x) (patch (*.f64 (fma.f64 x x x) x) #<representation:binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) (patch (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 x)) (taylor 0 x) (#s(alt (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) (patch (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 x)) (taylor 0 x) (#s(alt (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) (patch (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 x)) (taylor 0 x) (#s(alt (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) (patch (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) x (*.f64 x x)) (patch (fma.f64 (*.f64 x x) x (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 x)) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) x (*.f64 x x)) (patch (fma.f64 (*.f64 x x) x (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 x)) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) x (*.f64 x x)) (patch (fma.f64 (*.f64 x x) x (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 x)) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) x (*.f64 x x)) (patch (fma.f64 (*.f64 x x) x (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) (patch (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) (patch (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) (patch (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) (patch (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) #<representation:binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation:binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation:binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation:binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation:binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt #s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) (patch #s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) (patch #s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) (patch #s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) (patch #s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation:binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 (fma.f64 x x x) x) (patch (*.f64 (fma.f64 x x x) x) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (*.f64 (fma.f64 x x x) x) (patch (*.f64 (fma.f64 x x x) x) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (*.f64 (fma.f64 x x x) x) (patch (*.f64 (fma.f64 x x x) x) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (*.f64 (fma.f64 x x x) x) (patch (*.f64 (fma.f64 x x x) x) #<representation:binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) (patch (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) (patch (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) (patch (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) (patch (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) x (*.f64 x x)) (patch (fma.f64 (*.f64 x x) x (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) x (*.f64 x x)) (patch (fma.f64 (*.f64 x x) x (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) x (*.f64 x x)) (patch (fma.f64 (*.f64 x x) x (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) x (*.f64 x x)) (patch (fma.f64 (*.f64 x x) x (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) (patch (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) (patch (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) (patch (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) (patch (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) #<representation:binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation:binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation:binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation:binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation:binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt #s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) (patch #s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) (patch #s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) (patch #s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) (patch #s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation:binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 (fma.f64 x x x) x) (patch (*.f64 (fma.f64 x x x) x) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 x x x) x) (patch (*.f64 (fma.f64 x x x) x) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 x x x) x) (patch (*.f64 (fma.f64 x x x) x) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 x x x) x) (patch (*.f64 (fma.f64 x x x) x) #<representation:binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation:binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) (patch (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) (patch (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) (patch (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) (patch (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) x (*.f64 x x)) (patch (fma.f64 (*.f64 x x) x (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) x (*.f64 x x)) (patch (fma.f64 (*.f64 x x) x (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) x (*.f64 x x)) (patch (fma.f64 (*.f64 x x) x (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) x (*.f64 x x)) (patch (fma.f64 (*.f64 x x) x (*.f64 x x)) #<representation:binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@0
((+ (* x x) (pow x 3)) (pow x 3) (+ (* x (* x x)) (* x x)) (* x x) (+ (* x x) x) (* (+ (* x x) x) x) (+ 1 x) (* (+ 1 x) (* x x)) (+ (* (* x x) x) (* x x)))
2.0ms
x
@-inf
((+ (* x x) (pow x 3)) (pow x 3) (+ (* x (* x x)) (* x x)) (* x x) (+ (* x x) x) (* (+ (* x x) x) x) (+ 1 x) (* (+ 1 x) (* x x)) (+ (* (* x x) x) (* x x)))
1.0ms
x
@inf
((+ (* x x) (pow x 3)) (pow x 3) (+ (* x (* x x)) (* x x)) (* x x) (+ (* x x) x) (* (+ (* x x) x) x) (+ 1 x) (* (+ 1 x) (* x x)) (+ (* (* x x) x) (* x x)))

simplify179.0ms (4.3%)

Memory
27.9MiB live, 179.4MiB allocated
Algorithm
1×egg-herbie
Rules
5 588×lower-*.f64
5 588×lower-*.f32
3 532×cube-prod
2 370×lower-/.f32
2 370×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
014514
148514
269514
3217514
41283514
52287514
63139514
73884514
84680514
95023514
105280514
115492514
125712514
135795514
146584514
157689514
167982514
08074460
Stop Event
1×iter limit
1×node limit
Counts
108 → 105
Calls
Call 1
Inputs
(pow x 2)
(* (pow x 2) (+ 1 x))
(* (pow x 2) (+ 1 x))
(* (pow x 2) (+ 1 x))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 2)
(* (pow x 2) (+ 1 x))
(* (pow x 2) (+ 1 x))
(* (pow x 2) (+ 1 x))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
x
(* x (+ 1 x))
(* x (+ 1 x))
(* x (+ 1 x))
(pow x 2)
(* (pow x 2) (+ 1 x))
(* (pow x 2) (+ 1 x))
(* (pow x 2) (+ 1 x))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
(pow x 2)
(* (pow x 2) (+ 1 x))
(* (pow x 2) (+ 1 x))
(* (pow x 2) (+ 1 x))
(pow x 2)
(* (pow x 2) (+ 1 x))
(* (pow x 2) (+ 1 x))
(* (pow x 2) (+ 1 x))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
Outputs
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 x))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(* (pow x 2) (+ 1 x))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(* (pow x 2) (+ 1 x))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 x))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(* (pow x 2) (+ 1 x))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(* (pow x 2) (+ 1 x))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
x
(* x (+ 1 x))
(fma.f64 x x x)
(* x (+ 1 x))
(fma.f64 x x x)
(* x (+ 1 x))
(fma.f64 x x x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 x))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(* (pow x 2) (+ 1 x))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(* (pow x 2) (+ 1 x))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 x))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(* (pow x 2) (+ 1 x))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(* (pow x 2) (+ 1 x))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 x))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(* (pow x 2) (+ 1 x))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(* (pow x 2) (+ 1 x))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* (pow x 3) (+ 1 (/ 1 x)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1 (/ 1 x)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1 (/ 1 x)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* (pow x 3) (+ 1 (/ 1 x)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1 (/ 1 x)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1 (/ 1 x)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* (pow x 3) (+ 1 (/ 1 x)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1 (/ 1 x)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1 (/ 1 x)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* (pow x 3) (+ 1 (/ 1 x)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1 (/ 1 x)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1 (/ 1 x)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* (pow x 3) (+ 1 (/ 1 x)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1 (/ 1 x)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1 (/ 1 x)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* (pow x 3) (+ 1 (/ 1 x)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1 (/ 1 x)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1 (/ 1 x)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* (pow x 3) (+ 1 (/ 1 x)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1 (/ 1 x)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1 (/ 1 x)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* (pow x 3) (+ 1 (/ 1 x)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1 (/ 1 x)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1 (/ 1 x)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* (pow x 3) (+ 1 (/ 1 x)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1 (/ 1 x)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1 (/ 1 x)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* (pow x 3) (+ 1 (/ 1 x)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1 (/ 1 x)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (+ 1 (/ 1 x)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))

rewrite397.0ms (9.6%)

Memory
-20.5MiB live, 299.9MiB allocated
Rules
7 796×lower-fma.f32
7 790×lower-fma.f64
3 792×lower-*.f32
3 786×lower-*.f64
2 570×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01553
02547
18147
250447
3554447
0856942
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
9 → 979
Calls
Call 1
Inputs
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x))
(*.f64 x x)
(fma.f64 x x x)
(*.f64 (fma.f64 x x x) x)
(+.f64 #s(literal 1 binary64) x)
(*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))
(fma.f64 (*.f64 x x) x (*.f64 x x))
Outputs
(*.f64 (/.f64 (hypot.f64 (pow.f64 x #s(literal 7/2 binary64)) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) x) #s(literal 2 binary64)))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (/.f64 (hypot.f64 (pow.f64 x #s(literal 7/2 binary64)) (*.f64 x x)) (+.f64 (pow.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (-.f64 (hypot.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) x)) (*.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 (*.f64 x (-.f64 x (pow.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 x (-.f64 x (pow.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (hypot.f64 (pow.f64 x #s(literal 5/2 binary64)) x) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)))
(*.f64 (/.f64 (hypot.f64 (pow.f64 x #s(literal 5/2 binary64)) x) (+.f64 (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 (*.f64 x x) x) (-.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x))) (fma.f64 x x x))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64)))) (fma.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (hypot.f64 (pow.f64 x #s(literal 9/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(*.f64 (/.f64 (hypot.f64 (pow.f64 x #s(literal 9/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 18 binary64)))) (fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (-.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 12 binary64))))
(*.f64 (/.f64 (hypot.f64 (pow.f64 x #s(literal 9/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 5 binary64)))))
(*.f64 (/.f64 (hypot.f64 (pow.f64 x #s(literal 9/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 3 binary64)))) (fma.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 5 binary64))) (-.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64)))) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) x))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64)))) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) x))
(*.f64 (/.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) x) (/.f64 x (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) x) (+.f64 (pow.f64 x #s(literal 3/2 binary64)) x)) (+.f64 (pow.f64 x #s(literal 3/2 binary64)) x))
(*.f64 (/.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) x) x) (/.f64 (*.f64 (-.f64 (*.f64 x x) x) x) (-.f64 (*.f64 x x) x)))
(*.f64 (/.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) x) x) (/.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) x) (*.f64 x (-.f64 #s(literal 1 binary64) x))))
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(*.f64 (*.f64 x (-.f64 x (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
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(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.f64 (*.f64 x x) x) x)) (*.f64 (*.f64 (-.f64 (*.f64 x x) x) x) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (*.f64 (-.f64 (*.f64 x x) x) x) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) x) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) x) #s(literal 2 binary64)))
(/.f64 (hypot.f64 (pow.f64 x #s(literal 7/2 binary64)) (*.f64 x x)) (-.f64 (hypot.f64 (*.f64 x x) x) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (*.f64 x (-.f64 x (pow.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (hypot.f64 (pow.f64 x #s(literal 5/2 binary64)) x) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (-.f64 (*.f64 x x) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) x) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 12 binary64))) (*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) x) (hypot.f64 (*.f64 x x) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 8 binary64))) (*.f64 (*.f64 (-.f64 (*.f64 x x) x) x) (hypot.f64 (*.f64 x x) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 x #s(literal 12 binary64))) (*.f64 (*.f64 (-.f64 (*.f64 x x) x) x) (+.f64 (hypot.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 12 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 x #s(literal 12 binary64))) (*.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 18 binary64))) (*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) x) (+.f64 (hypot.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 8 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 18 binary64))) (*.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64)))))
(/.f64 (hypot.f64 (pow.f64 x #s(literal 27/2 binary64)) (pow.f64 x #s(literal 9 binary64))) (*.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) (-.f64 (hypot.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 15 binary64)))))
(/.f64 (hypot.f64 (pow.f64 x #s(literal 27/2 binary64)) (pow.f64 x #s(literal 9 binary64))) (*.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) (-.f64 (hypot.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 x #s(literal 15 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (neg.f64 x) (-.f64 (*.f64 x x) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (neg.f64 x) (*.f64 x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 x #s(literal 9/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (-.f64 (*.f64 x x) x) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) x))
(/.f64 (hypot.f64 (pow.f64 x #s(literal 9/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (hypot.f64 (*.f64 x x) x) (pow.f64 x #s(literal 3 binary64))) (hypot.f64 (pow.f64 x #s(literal 7/2 binary64)) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (-.f64 x (pow.f64 x #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (hypot.f64 (pow.f64 x #s(literal 5/2 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x x) x) (+.f64 (pow.f64 x #s(literal 5 binary64)) (neg.f64 (pow.f64 x #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) x) #s(literal -1 binary64)))
(/.f64 (*.f64 x x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(/.f64 x (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (-.f64 (*.f64 x x) x) x)))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) x)))
(neg.f64 (/.f64 (neg.f64 (hypot.f64 (pow.f64 x #s(literal 9/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (neg.f64 x) (-.f64 (*.f64 x x) x))))
(neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (neg.f64 x) (*.f64 x (-.f64 #s(literal 1 binary64) x)))))
(neg.f64 (/.f64 (hypot.f64 (pow.f64 x #s(literal 9/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64)))) (fma.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64)))) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) x) (neg.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64)))) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) x) (neg.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))))))
(fma.f64 (pow.f64 x #s(literal 9/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)) (*.f64 x x))
(fma.f64 (sqrt.f64 x) (/.f64 (pow.f64 x #s(literal 9/2 binary64)) (-.f64 (*.f64 x x) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 9/2 binary64)) (+.f64 (pow.f64 x #s(literal 3/2 binary64)) x)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 (pow.f64 x #s(literal 3/2 binary64)) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (+.f64 (pow.f64 x #s(literal 3/2 binary64)) x)) (/.f64 (pow.f64 x #s(literal 9/2 binary64)) (-.f64 (pow.f64 x #s(literal 3/2 binary64)) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (pow.f64 x #s(literal 3/2 binary64)) x)) (/.f64 x (-.f64 (pow.f64 x #s(literal 3/2 binary64)) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 3/2 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 3/2 binary64)) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))))))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 (pow.f64 x #s(literal 3/2 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 x (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 (pow.f64 x #s(literal 3/2 binary64)) x)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 3/2 binary64)) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 x #s(literal 3/2 binary64)) x)) (/.f64 x (-.f64 x (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 x #s(literal 3/2 binary64)) x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 3/2 binary64)) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))))))
(fma.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 3/2 binary64)) x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 3/2 binary64)) x)) (/.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (pow.f64 x #s(literal 3/2 binary64)) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))))))
(fma.f64 (pow.f64 x #s(literal 7/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 (*.f64 x x) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))))))
(fma.f64 (pow.f64 x #s(literal 9/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (-.f64 (*.f64 x x) x) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))))))
(fma.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 9/4 binary64)) (*.f64 x x))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 9/2 binary64)) (*.f64 (-.f64 (*.f64 x x) x) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x x))
(fma.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 x (*.f64 (-.f64 (*.f64 x x) x) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 (*.f64 x x) x) x) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (*.f64 x x) (*.f64 (-.f64 (*.f64 x x) x) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 x (-.f64 (*.f64 x x) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) x) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 x (-.f64 x #s(literal 1 binary64)))) (neg.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))))))
(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x x))
(fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (*.f64 x x) (/.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (*.f64 x x) (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (neg.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))))))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (*.f64 x x) x (*.f64 x x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 x (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (-.f64 (*.f64 x x) x) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 x (-.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64) (*.f64 x x))
(fma.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 x (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (-.f64 (*.f64 x x) x) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))))))
(fma.f64 x (/.f64 (*.f64 x x) (*.f64 x (-.f64 #s(literal 1 binary64) x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))))))
(fma.f64 x (*.f64 x x) (*.f64 x x))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
(-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 x (-.f64 x #s(literal 1 binary64)))) (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) x))))
(hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) x)
(hypot.f64 x (pow.f64 x #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 x (-.f64 x #s(literal 1 binary64)))) (neg.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) x)))))
(+.f64 (*.f64 x x) (pow.f64 x #s(literal 3 binary64)))
(+.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x))

eval162.0ms (3.9%)

Memory
21.6MiB live, 251.0MiB allocated
Compiler

Compiled 20 524 to 1 145 computations (94.4% saved)

prune20.0ms (0.5%)

Memory
-4.4MiB live, 70.7MiB allocated
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1 15421 156
Fresh101
Picked235
Done000
Total1 15751 162
Accuracy
100.0%
Counts
1 162 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(fma.f64 x x (*.f64 (*.f64 x x) x))
✓100.0%
(*.f64 (fma.f64 x x x) x)
✓100.0%
(*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))
▶58.5%
(*.f64 #s(approx (+ (* x x) x) (*.f64 x x)) x)
✓97.5%
#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x))
Compiler

Compiled 31 to 19 computations (38.7% saved)

simplify5.0ms (0.1%)

Memory
9.4MiB live, 9.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
cost-diff-5824
(*.f64 (*.f64 x x) x)
cost-diff0
(*.f64 x x)
cost-diff6144
(fma.f64 x x (*.f64 (*.f64 x x) x))
cost-diff0
(*.f64 x x)
cost-diff0
#s(approx (+ (* x x) x) (*.f64 x x))
cost-diff0
(*.f64 #s(approx (+ (* x x) x) (*.f64 x x)) x)
Rules
54×lower-*.f32
48×lower-*.f64
28×lower-fma.f32
26×lower-fma.f64
14×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0841
01240
12137
23037
33737
44337
56237
66237
06235
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 #s(approx (+ (* x x) x) (*.f64 x x)) x)
#s(approx (+ (* x x) x) (*.f64 x x))
(*.f64 x x)
x
(fma.f64 x x (*.f64 (*.f64 x x) x))
x
(*.f64 (*.f64 x x) x)
(*.f64 x x)
Outputs
(*.f64 #s(approx (+ (* x x) x) (*.f64 x x)) x)
#s(approx (+ (* x x) x) (*.f64 x x))
(*.f64 x x)
x
(fma.f64 x x (*.f64 (*.f64 x x) x))
(*.f64 (fma.f64 x x x) x)
x
(*.f64 (*.f64 x x) x)
(pow.f64 x #s(literal 3 binary64))
(*.f64 x x)

localize42.0ms (1%)

Memory
-17.2MiB live, 45.9MiB allocated
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 x x)
accuracy0.00390625
(fma.f64 x x (*.f64 (*.f64 x x) x))
accuracy0.09765625
(*.f64 (*.f64 x x) x)
accuracy0
(*.f64 x x)
accuracy0.03125
(*.f64 #s(approx (+ (* x x) x) (*.f64 x x)) x)
accuracy59.450304285023655
#s(approx (+ (* x x) x) (*.f64 x x))
Samples
26.0ms256×0valid
Compiler

Compiled 36 to 8 computations (77.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 5.0ms (72.1% of total)
ival-add: 2.0ms (28.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
-28.2MiB live, 9.2MiB allocated
Counts
5 → 60
Calls
Call 1
Inputs
#s(alt (*.f64 #s(approx (+ (* x x) x) (*.f64 x x)) x) (patch (*.f64 #s(approx (+ (* x x) x) (*.f64 x x)) x) #<representation:binary64>) () ())
#s(alt #s(approx (+ (* x x) x) (*.f64 x x)) (patch #s(approx (+ (* x x) x) (*.f64 x x)) #<representation:binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())
#s(alt (fma.f64 x x (*.f64 (*.f64 x x) x)) (patch (fma.f64 x x (*.f64 (*.f64 x x) x)) #<representation:binary64>) () ())
#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation:binary64>) () ())
Outputs
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 #s(approx (+ (* x x) x) (*.f64 x x)) x) (patch (*.f64 #s(approx (+ (* x x) x) (*.f64 x x)) x) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 x)) (taylor 0 x) (#s(alt (*.f64 #s(approx (+ (* x x) x) (*.f64 x x)) x) (patch (*.f64 #s(approx (+ (* x x) x) (*.f64 x x)) x) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 x)) (taylor 0 x) (#s(alt (*.f64 #s(approx (+ (* x x) x) (*.f64 x x)) x) (patch (*.f64 #s(approx (+ (* x x) x) (*.f64 x x)) x) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 x)) (taylor 0 x) (#s(alt (*.f64 #s(approx (+ (* x x) x) (*.f64 x x)) x) (patch (*.f64 #s(approx (+ (* x x) x) (*.f64 x x)) x) #<representation:binary64>) () ())) ())
#s(alt x (taylor 0 x) (#s(alt #s(approx (+ (* x x) x) (*.f64 x x)) (patch #s(approx (+ (* x x) x) (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt #s(approx (+ (* x x) x) (*.f64 x x)) (patch #s(approx (+ (* x x) x) (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt #s(approx (+ (* x x) x) (*.f64 x x)) (patch #s(approx (+ (* x x) x) (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt #s(approx (+ (* x x) x) (*.f64 x x)) (patch #s(approx (+ (* x x) x) (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())) ())
#s(alt (pow x 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 (fma.f64 x x (*.f64 (*.f64 x x) x)) (patch (fma.f64 x x (*.f64 (*.f64 x x) x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 x)) (taylor 0 x) (#s(alt (fma.f64 x x (*.f64 (*.f64 x x) x)) (patch (fma.f64 x x (*.f64 (*.f64 x x) x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 x)) (taylor 0 x) (#s(alt (fma.f64 x x (*.f64 (*.f64 x x) x)) (patch (fma.f64 x x (*.f64 (*.f64 x x) x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 x)) (taylor 0 x) (#s(alt (fma.f64 x x (*.f64 (*.f64 x x) x)) (patch (fma.f64 x x (*.f64 (*.f64 x x) x)) #<representation:binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation:binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation:binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation:binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation:binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 #s(approx (+ (* x x) x) (*.f64 x x)) x) (patch (*.f64 #s(approx (+ (* x x) x) (*.f64 x x)) x) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (*.f64 #s(approx (+ (* x x) x) (*.f64 x x)) x) (patch (*.f64 #s(approx (+ (* x x) x) (*.f64 x x)) x) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (*.f64 #s(approx (+ (* x x) x) (*.f64 x x)) x) (patch (*.f64 #s(approx (+ (* x x) x) (*.f64 x x)) x) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (*.f64 #s(approx (+ (* x x) x) (*.f64 x x)) x) (patch (*.f64 #s(approx (+ (* x x) x) (*.f64 x x)) x) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt #s(approx (+ (* x x) x) (*.f64 x x)) (patch #s(approx (+ (* x x) x) (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (+ (* x x) x) (*.f64 x x)) (patch #s(approx (+ (* x x) x) (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (+ (* x x) x) (*.f64 x x)) (patch #s(approx (+ (* x x) x) (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (+ (* x x) x) (*.f64 x x)) (patch #s(approx (+ (* x x) x) (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (fma.f64 x x (*.f64 (*.f64 x x) x)) (patch (fma.f64 x x (*.f64 (*.f64 x x) x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 x x (*.f64 (*.f64 x x) x)) (patch (fma.f64 x x (*.f64 (*.f64 x x) x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 x x (*.f64 (*.f64 x x) x)) (patch (fma.f64 x x (*.f64 (*.f64 x x) x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 x x (*.f64 (*.f64 x x) x)) (patch (fma.f64 x x (*.f64 (*.f64 x x) x)) #<representation:binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation:binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation:binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation:binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation:binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 #s(approx (+ (* x x) x) (*.f64 x x)) x) (patch (*.f64 #s(approx (+ (* x x) x) (*.f64 x x)) x) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 #s(approx (+ (* x x) x) (*.f64 x x)) x) (patch (*.f64 #s(approx (+ (* x x) x) (*.f64 x x)) x) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 #s(approx (+ (* x x) x) (*.f64 x x)) x) (patch (*.f64 #s(approx (+ (* x x) x) (*.f64 x x)) x) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 #s(approx (+ (* x x) x) (*.f64 x x)) x) (patch (*.f64 #s(approx (+ (* x x) x) (*.f64 x x)) x) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (+ (* x x) x) (*.f64 x x)) (patch #s(approx (+ (* x x) x) (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (+ (* x x) x) (*.f64 x x)) (patch #s(approx (+ (* x x) x) (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (+ (* x x) x) (*.f64 x x)) (patch #s(approx (+ (* x x) x) (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (+ (* x x) x) (*.f64 x x)) (patch #s(approx (+ (* x x) x) (*.f64 x x)) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation:binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (fma.f64 x x (*.f64 (*.f64 x x) x)) (patch (fma.f64 x x (*.f64 (*.f64 x x) x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 x x (*.f64 (*.f64 x x) x)) (patch (fma.f64 x x (*.f64 (*.f64 x x) x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 x x (*.f64 (*.f64 x x) x)) (patch (fma.f64 x x (*.f64 (*.f64 x x) x)) #<representation:binary64>) () ())) ())
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 x x (*.f64 (*.f64 x x) x)) (patch (fma.f64 x x (*.f64 (*.f64 x x) x)) #<representation:binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation:binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation:binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation:binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation:binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
((* (+ (* x x) x) x) (+ (* x x) x) (* x x) (+ (* x x) (* (* x x) x)) (* (* x x) x))
1.0ms
x
@inf
((* (+ (* x x) x) x) (+ (* x x) x) (* x x) (+ (* x x) (* (* x x) x)) (* (* x x) x))
1.0ms
x
@0
((* (+ (* x x) x) x) (+ (* x x) x) (* x x) (+ (* x x) (* (* x x) x)) (* (* x x) x))

simplify306.0ms (7.4%)

Memory
8.7MiB live, 161.1MiB allocated
Algorithm
1×egg-herbie
Rules
5 604×lower-*.f64
5 604×lower-*.f32
3 492×cube-prod
2 370×lower-/.f32
2 370×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
013268
142268
276268
3133268
4298268
51306268
62309268
73166268
83908268
94706268
105049268
115314268
125526268
135746268
145829268
156619268
167711268
08007241
Stop Event
1×iter limit
1×node limit
Counts
60 → 59
Calls
Call 1
Inputs
(pow x 2)
(* (pow x 2) (+ 1 x))
(* (pow x 2) (+ 1 x))
(* (pow x 2) (+ 1 x))
x
(* x (+ 1 x))
(* x (+ 1 x))
(* x (+ 1 x))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* (pow x 2) (+ 1 x))
(* (pow x 2) (+ 1 x))
(* (pow x 2) (+ 1 x))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (/ 1 x)))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
Outputs
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 x))
(*.f64 (fma.f64 x x x) x)
(* (pow x 2) (+ 1 x))
(*.f64 (fma.f64 x x x) x)
(* (pow x 2) (+ 1 x))
(*.f64 (fma.f64 x x x) x)
x
(* x (+ 1 x))
(fma.f64 x x x)
(* x (+ 1 x))
(fma.f64 x x x)
(* x (+ 1 x))
(fma.f64 x x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 x))
(*.f64 (fma.f64 x x x) x)
(* (pow x 2) (+ 1 x))
(*.f64 (fma.f64 x x x) x)
(* (pow x 2) (+ 1 x))
(*.f64 (fma.f64 x x x) x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 (fma.f64 x x x) x)
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 (fma.f64 x x x) x)
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 (fma.f64 x x x) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 (fma.f64 x x x) x)
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 (fma.f64 x x x) x)
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 (fma.f64 x x x) x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 (fma.f64 x x x) x)
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 (fma.f64 x x x) x)
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 (fma.f64 x x x) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 (fma.f64 x x x) x)
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 (fma.f64 x x x) x)
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 (fma.f64 x x x) x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))

rewrite249.0ms (6%)

Memory
11.4MiB live, 201.8MiB allocated
Rules
5 570×lower-fma.f32
5 568×lower-fma.f64
4 602×lower-/.f64
4 602×lower-/.f32
3 296×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0836
01232
14332
227532
3272132
0869129
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 227
Calls
Call 1
Inputs
(*.f64 #s(approx (+ (* x x) x) (*.f64 x x)) x)
#s(approx (+ (* x x) x) (*.f64 x x))
(*.f64 x x)
(fma.f64 x x (*.f64 (*.f64 x x) x))
(*.f64 (*.f64 x x) x)
Outputs
(*.f64 #s(approx (+ (* x x) x) (*.f64 x x)) x)
(*.f64 x #s(approx (+ (* x x) x) (*.f64 x x)))
#s(approx (+ (* x x) x) (*.f64 x x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (neg.f64 x))
(/.f64 (pow.f64 x #s(literal 3 binary64)) x)
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) (log.f64 x)))
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(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x (*.f64 x x))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 x (*.f64 x x))))) (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 x (*.f64 x x))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 x (*.f64 x x))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (-.f64 x (*.f64 x x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x (*.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 x (*.f64 x x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 x (*.f64 x x))))))) (/.f64 (/.f64 (pow.f64 x #s(literal 15 binary64)) (pow.f64 (-.f64 x (*.f64 x x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x (*.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 x (*.f64 x x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 x (*.f64 x x))))))))
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 x (*.f64 x x))) (pow.f64 (*.f64 (-.f64 x (*.f64 x x)) x) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (-.f64 x (*.f64 x x)) x) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 (-.f64 x (*.f64 x x)) x) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (*.f64 (*.f64 (-.f64 x (*.f64 x x)) x) (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x)))) (/.f64 (pow.f64 x #s(literal 12 binary64)) (*.f64 (*.f64 (-.f64 x (*.f64 x x)) x) (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (*.f64 (*.f64 (-.f64 x (*.f64 x x)) x) (+.f64 (hypot.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 8 binary64))))) (/.f64 (pow.f64 x #s(literal 18 binary64)) (*.f64 (*.f64 (-.f64 x (*.f64 x x)) x) (+.f64 (hypot.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 8 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (*.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64))))) (/.f64 (pow.f64 x #s(literal 18 binary64)) (*.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (-.f64 x (*.f64 x x)))) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (neg.f64 x) (-.f64 x (*.f64 x x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (hypot.f64 (pow.f64 x #s(literal 9/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x))) (*.f64 (-.f64 x (*.f64 x x)) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x))) (*.f64 (-.f64 x (*.f64 x x)) x)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (hypot.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 8 binary64)))) (*.f64 (-.f64 x (*.f64 x x)) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 (hypot.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 8 binary64)))) (*.f64 (-.f64 x (*.f64 x x)) x)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64)))) (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (/.f64 (pow.f64 x #s(literal 18 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64)))) (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 x (-.f64 (*.f64 x x) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 (*.f64 x x) x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 x (*.f64 x x))))
(hypot.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) (neg.f64 x))
(hypot.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) x)
(hypot.f64 (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) (neg.f64 x))
(hypot.f64 (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) x)
(hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 x))
(hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) x)
(hypot.f64 (neg.f64 x) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 x) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(hypot.f64 (neg.f64 x) (pow.f64 x #s(literal 3/2 binary64)))
(hypot.f64 x (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(hypot.f64 x (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(hypot.f64 x (pow.f64 x #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 x (*.f64 x x)))))
(+.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x))
(+.f64 (*.f64 x x) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 x x) x)
(*.f64 x (*.f64 x x))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 x))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3/4 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(/.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (neg.f64 x))
(/.f64 (pow.f64 x #s(literal 4 binary64)) x)
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))

eval34.0ms (0.8%)

Memory
0.0MiB live, 79.7MiB allocated
Compiler

Compiled 5 434 to 691 computations (87.3% saved)

prune7.0ms (0.2%)

Memory
28.7MiB live, 28.7MiB allocated
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New3110311
Fresh000
Picked022
Done033
Total3115316
Accuracy
100.0%
Counts
316 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(fma.f64 x x (*.f64 (*.f64 x x) x))
✓100.0%
(*.f64 (fma.f64 x x x) x)
✓100.0%
(*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))
✓58.5%
(*.f64 #s(approx (+ (* x x) x) (*.f64 x x)) x)
✓97.5%
#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x))
Compiler

Compiled 97 to 42 computations (56.7% saved)

regimes7.0ms (0.2%)

Memory
-20.9MiB live, 17.8MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x))
(*.f64 #s(approx (+ (* x x) x) (*.f64 x x)) x)
(*.f64 (fma.f64 x x x) x)
(*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))
(fma.f64 x x (*.f64 (*.f64 x x) x))
(fma.f64 (*.f64 x x) x (*.f64 x x))
(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)) (-.f64 x #s(literal 1 binary64)))
(fma.f64 x x (pow.f64 x #s(literal 3 binary64)))
Outputs
(fma.f64 x x (*.f64 (*.f64 x x) x))
Calls

2 calls:

4.0ms
(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
3.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
Compiler

Compiled 10 to 5 computations (50% saved)

regimes4.0ms (0.1%)

Memory
12.1MiB live, 12.1MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x))
(*.f64 #s(approx (+ (* x x) x) (*.f64 x x)) x)
(*.f64 (fma.f64 x x x) x)
(*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))
Outputs
(*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))
Calls

2 calls:

2.0ms
x
2.0ms
(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
Compiler

Compiled 10 to 5 computations (50% saved)

regimes3.0ms (0.1%)

Memory
10.0MiB live, 10.0MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x))
(*.f64 #s(approx (+ (* x x) x) (*.f64 x x)) x)
(*.f64 (fma.f64 x x x) x)
Outputs
(*.f64 (fma.f64 x x x) x)
Calls

2 calls:

2.0ms
x
1.0ms
(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
Compiler

Compiled 10 to 5 computations (50% saved)

regimes4.0ms (0.1%)

Memory
-28.9MiB live, 9.9MiB allocated
Accuracy

Total -24.9b remaining (-1542.8%)

Threshold costs -24.9b (-1542.8%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x))
(*.f64 #s(approx (+ (* x x) x) (*.f64 x x)) x)
Outputs
#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x))
Calls

2 calls:

2.0ms
x
1.0ms
(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
Results
AccuracySegmentsBranch
97.5%1x
97.5%1(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
Compiler

Compiled 10 to 5 computations (50% saved)

simplify25.0ms (0.6%)

Memory
17.9MiB live, 56.6MiB allocated
Algorithm
1×egg-herbie
Rules
6×*-commutative-binary64-*.f64
2×1-exp-binary32-exp.f32
2×1-exp-binary64-exp.f64
2×+-commutative-binary64-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01334
12034
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 x x (*.f64 (*.f64 x x) x))
(*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))
(*.f64 (fma.f64 x x x) x)
#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x))
Outputs
(fma.f64 x x (*.f64 (*.f64 x x) x))
(*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x))
(*.f64 (fma.f64 x x x) x)
#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x))

soundness561.0ms (13.6%)

Memory
6.8MiB live, 395.2MiB allocated
Rules
10 118×lower-fma.f64
10 118×lower-fma.f32
7 796×lower-fma.f32
7 790×lower-fma.f64
5 604×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01553
02547
18147
250447
3554447
0856942
011144
130144
264144
3103144
4286144
51326144
62335144
73183144
83904144
94731144
105074144
115337144
125549144
135769144
145852144
156642144
167744144
08032135
0417
0713
13013
219913
3176813
0845011
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 96 to 40 computations (58.3% saved)

preprocess33.0ms (0.8%)

Memory
-3.6MiB live, 73.1MiB allocated
Compiler

Compiled 82 to 38 computations (53.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

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