Data.Spline.Key:interpolateKeys from smoothie-0.4.0.2

Time bar (total: 5.6s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 11 to 9 computations (18.2% saved)

sample1.1s (19.9%)

Memory
70.6MiB live, 1 243.0MiB allocated; 244ms collecting garbage
Samples
808.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 423.0ms
ival-mult: 338.0ms (79.8% of total)
ival-sub: 66.0ms (15.6% of total)
exact: 8.0ms (1.9% of total)
ival-true: 6.0ms (1.4% of total)
ival-assert: 3.0ms (0.7% of total)
adjust: 2.0ms (0.5% of total)
Bogosity

explain175.0ms (3.2%)

Memory
10.3MiB live, 234.1MiB allocated; 48ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
00-0-(*.f64 x #s(literal 2 binary64))
00-0-#s(literal 2 binary64)
00-0-#s(literal 3 binary64)
00-0-(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
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
110.0ms512×0valid
Compiler

Compiled 59 to 25 computations (57.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-mult: 38.0ms (89.3% of total)
ival-sub: 3.0ms (7.1% of total)
exact: 1.0ms (2.4% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess158.0ms (2.8%)

Memory
-4.9MiB live, 139.5MiB allocated; 52ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0919
13318
213218
336118
480618
5134118
6147918
7187518
8240518
9298318
10317818
11333418
12333418
079
0119
1239
2719
32239
45179
59589
612779
716789
822289
928129
1030209
1131769
1231769
031768
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
Outputs
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify67.0ms (1.2%)

Memory
3.6MiB live, 48.5MiB allocated; 6ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x #s(literal 2 binary64))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
cost-diff1
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0723
01123
12323
27123
322323
451723
595823
6127723
7167823
8222823
9281223
10302023
11317623
12317623
0317621
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(*.f64 x x)
x
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
#s(literal 3 binary64)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(*.f64 x x)
x
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)

localize23.0ms (0.4%)

Memory
-2.9MiB live, 41.5MiB allocated; 7ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
accuracy0.0
(*.f64 x x)
accuracy0.0
(*.f64 x #s(literal 2 binary64))
accuracy0.10546875
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
Samples
18.0ms256×0valid
Compiler

Compiled 25 to 9 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 5.0ms (76.7% of total)
ival-sub: 1.0ms (15.3% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
7.3MiB live, 7.3MiB allocated; 0ms collecting garbage
Counts
4 → 12
Calls
Call 1
Inputs
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(*.f64 x x)
(*.f64 x #s(literal 2 binary64))
Outputs
3
(+ 3 (* -2 x))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(pow x 2)
(* 2 x)
(* -2 x)
(* x (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
Calls

3 calls:

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

simplify258.0ms (4.6%)

Memory
-9.1MiB live, 327.7MiB allocated; 96ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02464
16364
217264
360564
4228264
5529864
0841459
Stop Event
iter limit
node limit
Counts
12 → 12
Calls
Call 1
Inputs
3
(+ 3 (* -2 x))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(pow x 2)
(* 2 x)
(* -2 x)
(* x (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
Outputs
3
#s(literal 3 binary64)
(+ 3 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* 3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3 binary64))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(pow x 2)
(*.f64 x x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* x (- (* 3 (/ 1 x)) 2))
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) x)
(* -2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)

rewrite240.0ms (4.3%)

Memory
-12.5MiB live, 325.2MiB allocated; 31ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0720
01120
13820
223020
3178320
0927818
Stop Event
iter limit
node limit
iter limit
Counts
4 → 301
Calls
Call 1
Inputs
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(*.f64 x x)
(*.f64 x #s(literal 2 binary64))
Outputs
(*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x)))) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)))) (neg.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64))) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) (-.f64 #s(literal 81 binary64) (pow.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))) #s(literal 2 binary64)))) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) (+.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))) #s(literal 3 binary64)) #s(literal 729 binary64))) (fma.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))) (-.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))) #s(literal 9 binary64)) #s(literal 81 binary64)))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 x x)) (+.f64 (-.f64 #s(literal 3 binary64) x) x))
(/.f64 (-.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 3 binary64) x) (+.f64 #s(literal 3 binary64) x)) (*.f64 x x)) (-.f64 (+.f64 #s(literal 3 binary64) x) x))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal 3 binary64)) (+.f64 x #s(literal 3 binary64)))) (-.f64 x (+.f64 x #s(literal 3 binary64))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 3 binary64) x) (fma.f64 x x (*.f64 (-.f64 #s(literal 3 binary64) x) x))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (/.f64 #s(literal 8 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal -9 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 #s(literal -9 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -9 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) (*.f64 (*.f64 #s(literal 4 binary64) x) (/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))))))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 3 binary64) x) (+.f64 #s(literal 3 binary64) x) (-.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 3 binary64) x) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (+.f64 x #s(literal 3 binary64)) (+.f64 x #s(literal 3 binary64))) (*.f64 x (+.f64 x #s(literal 3 binary64))))))
(/.f64 (+.f64 #s(literal -27 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (neg.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal -9 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))) #s(literal 2 binary64)))) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) #s(literal 2 binary64)))) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal -9 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (/.f64 #s(literal -9 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -9 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) (*.f64 (*.f64 #s(literal 4 binary64) x) (/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (/.f64 #s(literal 8 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))))) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 9 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))) (neg.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (*.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))))) (neg.f64 (pow.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 9 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal -9 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 x x)))) (pow.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #s(literal 2 binary64)))
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(fma.f64 x (*.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)))
(fma.f64 #s(literal 3 binary64) (*.f64 x x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)))
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)) (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)))
(-.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)))
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)))))) (/.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 8 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)))))))
(+.f64 (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))))
(+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x x) #s(literal 3 binary64)))
(+.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)))
(*.f64 x x)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))) (-.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))))))
(neg.f64 (*.f64 x x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 x x))
(exp.f64 (+.f64 (log.f64 x) (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 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)))
(*.f64 (hypot.f64 x x) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (hypot.f64 x x))
(*.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) x)) (sqrt.f64 x))
(*.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) x)
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 4 binary64) x)))
(*.f64 #s(literal -2 binary64) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 x (exp.f64 (log.f64 #s(literal 2 binary64))))
(*.f64 x #s(literal -2 binary64))
(*.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 x x))) (neg.f64 (-.f64 x x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))))
(/.f64 (fabs.f64 (-.f64 (*.f64 x x) (*.f64 x x))) (fabs.f64 (-.f64 x x)))
(/.f64 (fabs.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fabs.f64 (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))
(neg.f64 (*.f64 #s(literal -2 binary64) x))
(fma.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) x)
(fma.f64 (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x)
(sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x x)) (/.f64 (*.f64 x x) (-.f64 x x)))
(fabs.f64 (*.f64 #s(literal -2 binary64) x))
(exp.f64 (/.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal -2 binary64) x)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))))
(+.f64 (cosh.f64 (log.f64 (*.f64 #s(literal -2 binary64) x))) (sinh.f64 (log.f64 (*.f64 #s(literal -2 binary64) x))))
(+.f64 x x)

eval54.0ms (1%)

Memory
-1.4MiB live, 88.1MiB allocated; 8ms collecting garbage
Compiler

Compiled 8 446 to 1 031 computations (87.8% saved)

prune11.0ms (0.2%)

Memory
34.7MiB live, 34.7MiB allocated; 0ms collecting garbage
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New29911310
Fresh000
Picked101
Done000
Total30011311
Accuracy
100.0%
Counts
311 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.0%
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))
72.0%
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) x) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))
90.9%
(-.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)))
99.8%
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
76.0%
(*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))))
53.8%
(*.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)))
99.8%
(*.f64 (*.f64 x x) (-.f64 (-.f64 #s(literal 3 binary64) x) x))
99.4%
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) x)))
74.7%
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))
69.5%
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
74.7%
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))
Compiler

Compiled 322 to 224 computations (30.4% saved)

simplify174.0ms (3.1%)

Memory
14.9MiB live, 193.1MiB allocated; 36ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 4 binary64) (*.f64 x x))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))))
cost-diff10
(fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))))
cost-diff0
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64))
cost-diff0
(*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x)
cost-diff0
(*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x)
cost-diff0
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))
cost-diff0
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
cost-diff0
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
cost-diff0
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
cost-diff0
#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
cost-diff0
(-.f64 #s(literal 3 binary64) x)
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) (-.f64 (-.f64 #s(literal 3 binary64) x) x))
cost-diff1
(-.f64 (-.f64 #s(literal 3 binary64) x) x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031221
054224
1111203
2353199
31495199
44321199
08123197
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) (-.f64 (-.f64 #s(literal 3 binary64) x) x))
(*.f64 x x)
x
(-.f64 (-.f64 #s(literal 3 binary64) x) x)
(-.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
(*.f64 x x)
x
#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
#s(literal -2 binary64)
x
#s(literal 3 binary64)
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))
(*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x)
(*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x)
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64))
#s(literal 4 binary64)
(*.f64 x x)
x
#s(literal 9 binary64)
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
#s(literal -2 binary64)
#s(literal 3 binary64)
(*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))))
(*.f64 x x)
x
(fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))))
(*.f64 #s(literal 4 binary64) (*.f64 x x))
#s(literal 4 binary64)
(/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
(fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))
(fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))
#s(literal 6 binary64)
#s(literal 9 binary64)
(/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))
#s(literal 27 binary64)
Outputs
(*.f64 (*.f64 x x) (-.f64 (-.f64 #s(literal 3 binary64) x) x))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(*.f64 x x)
x
(-.f64 (-.f64 #s(literal 3 binary64) x) x)
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(-.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
(*.f64 x x)
x
#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
#s(literal -2 binary64)
x
#s(literal 3 binary64)
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) (*.f64 x x))
(*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x)
(*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x)
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64))
#s(literal 4 binary64)
(*.f64 x x)
x
#s(literal 9 binary64)
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
#s(literal -2 binary64)
#s(literal 3 binary64)
(*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))))
(*.f64 (*.f64 (/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) x) (fma.f64 (*.f64 #s(literal -8 binary64) x) (*.f64 x x) #s(literal 27 binary64)))
(*.f64 x x)
x
(fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))))
(/.f64 (fma.f64 (*.f64 #s(literal -8 binary64) x) (*.f64 x x) #s(literal 27 binary64)) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 x x))
#s(literal 4 binary64)
(/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))
(*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) x)
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
(fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))
(fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))
(fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))
#s(literal 6 binary64)
#s(literal 9 binary64)
(/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))
(/.f64 #s(literal 27 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))
#s(literal 27 binary64)

localize258.0ms (4.6%)

Memory
-35.4MiB live, 235.0MiB allocated; 149ms collecting garbage
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.10546875
(*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))))
accuracy0.15597131068016815
(/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))
accuracy14.264237610270143
(/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))
accuracy14.274932179801327
(fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))))
accuracy0.0
(*.f64 x x)
accuracy0.07421875
(*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x)
accuracy0.09765625
(*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x)
accuracy1.6845911750440339
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))
accuracy0.0
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
accuracy0.08984375
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
accuracy0.1015625
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
accuracy0.0
(*.f64 x x)
accuracy0.10546875
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
accuracy28.59866568767271
#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
accuracy0.0
(-.f64 #s(literal 3 binary64) x)
accuracy0.0
(*.f64 x x)
accuracy0.0078125
(-.f64 (-.f64 #s(literal 3 binary64) x) x)
accuracy0.10546875
(*.f64 (*.f64 x x) (-.f64 (-.f64 #s(literal 3 binary64) x) x))
Samples
150.0ms226×0valid
8.0ms15×2valid
4.0ms10×1valid
4.0ms3valid
Compiler

Compiled 245 to 35 computations (85.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 81.0ms
ival-mult: 46.0ms (57% of total)
ival-div: 19.0ms (23.6% of total)
ival-add: 6.0ms (7.4% of total)
adjust: 5.0ms (6.2% of total)
ival-sub: 4.0ms (5% of total)
exact: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series18.0ms (0.3%)

Memory
-13.1MiB live, 29.2MiB allocated; 12ms collecting garbage
Counts
18 → 58
Calls
Call 1
Inputs
(-.f64 (-.f64 #s(literal 3 binary64) x) x)
(*.f64 (*.f64 x x) (-.f64 (-.f64 #s(literal 3 binary64) x) x))
(*.f64 x x)
(-.f64 #s(literal 3 binary64) x)
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))
(*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x)
(*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x)
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64))
(fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))))
(*.f64 #s(literal 4 binary64) (*.f64 x x))
(/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))
(/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))
Outputs
3
(+ 3 (* -2 x))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(pow x 2)
(+ 3 (* -1 x))
(* 3 x)
(* x (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* 2 x)))
(* (pow x 2) (+ 3 (* x (+ 2 (* 8/3 x)))))
(* (pow x 2) (+ 3 (* x (+ 2 (* x (+ 8/3 (* 16/9 x)))))))
(* 9 (pow x 2))
(* (pow x 2) (+ 9 (* 4 (pow x 2))))
(* 9 x)
(* x (+ 9 (* 4 (pow x 2))))
9
(+ 9 (* 4 (pow x 2)))
(* 4 (pow x 2))
(* -2/9 x)
(* x (- (* 4/27 x) 2/9))
(* x (- (* x (+ 4/27 (* -16/243 (pow x 2)))) 2/9))
(* x (- (* x (+ 4/27 (* (pow x 2) (- (* 32/729 x) 16/243)))) 2/9))
(+ 3 (* x (- (* 8/9 (pow x 2)) 2)))
(+ 3 (* x (- (* (pow x 2) (+ 8/9 (* -16/27 x))) 2)))
(* -2 x)
(* x (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -1 x)
(* x (- (* 3 (/ 1 x)) 1))
(* -2 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* -1 (* (pow x 3) (+ 2 (* 3 (/ 1 x)))))
(* (pow x 3) (- (* -1 (/ (+ 3 (* 9 (/ 1 x))) x)) 2))
(* (pow x 3) (- (* -1 (/ (+ 9 (* 27/2 (/ 1 x))) (pow x 2))) (+ 2 (* 3 (/ 1 x)))))
(* 4 (pow x 4))
(* (pow x 4) (+ 4 (* 9 (/ 1 (pow x 2)))))
(* 4 (pow x 3))
(* (pow x 3) (+ 4 (* 9 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 4 (* 9 (/ 1 (pow x 2)))))
(/ -1/2 x)
(/ (- (* 3/4 (/ 1 x)) 1/2) x)
(/ (- (* 3/4 (/ 1 x)) (+ 1/2 (/ 27/16 (pow x 3)))) x)
(/ (- (+ (* 3/4 (/ 1 x)) (* 81/32 (/ 1 (pow x 4)))) (+ 1/2 (/ 27/16 (pow x 3)))) x)
(/ 27/4 (pow x 2))
(/ (- 27/4 (* 81/8 (/ 1 x))) (pow x 2))
(/ (- (+ 27/4 (/ 729/32 (pow x 3))) (* 81/8 (/ 1 x))) (pow x 2))
(/ (- (+ 27/4 (/ 729/32 (pow x 3))) (+ (* 81/8 (/ 1 x)) (* 2187/64 (/ 1 (pow x 4))))) (pow x 2))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 1 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 2 (+ (* 3 (/ 1 x)) (/ 9 (pow x 2))))))
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (- (* -1 (/ (+ 9 (* 27/2 (/ 1 x))) x)) 3) x)))))
(* -1 (/ (- 1/2 (* 3/4 (/ 1 x))) x))
(* -1 (/ (+ 1/2 (* -1 (/ (- 3/4 (* 27/16 (/ 1 (pow x 2)))) x))) x))
(* -1 (/ (+ 1/2 (* -1 (/ (- (+ 3/4 (/ 81/32 (pow x 3))) (* 27/16 (/ 1 (pow x 2)))) x))) x))
(/ (+ 27/4 (* -1 (/ (- 81/8 (* 729/32 (/ 1 (pow x 2)))) x))) (pow x 2))
(/ (+ 27/4 (* -1 (/ (- (+ 81/8 (/ 2187/64 (pow x 3))) (* 729/32 (/ 1 (pow x 2)))) x))) (pow x 2))
Calls

3 calls:

TimeVariablePointExpression
10.0ms
x
@inf
((- (- 3 x) x) (* (* x x) (- (- 3 x) x)) (* x x) (- 3 x) (* (* x x) (- 3 (* x 2))) (- 3 (* x 2)) (* (* (+ (* -2 x) 3) x) x) (* (+ (* -2 x) 3) x) (+ (* -2 x) 3) (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) 3)) (* (* (+ (* 4 (* x x)) 9) x) x) (* (+ (* 4 (* x x)) 9) x) (+ (* 4 (* x x)) 9) (+ (* (* 4 (* x x)) (/ (* -2 x) (+ (* x (+ (* 4 x) 6)) 9))) (/ 27 (+ (* x (+ (* 4 x) 6)) 9))) (* (* x x) (+ (* (* 4 (* x x)) (/ (* -2 x) (+ (* x (+ (* 4 x) 6)) 9))) (/ 27 (+ (* x (+ (* 4 x) 6)) 9)))) (* 4 (* x x)) (/ (* -2 x) (+ (* x (+ (* 4 x) 6)) 9)) (/ 27 (+ (* x (+ (* 4 x) 6)) 9)))
4.0ms
x
@-inf
((- (- 3 x) x) (* (* x x) (- (- 3 x) x)) (* x x) (- 3 x) (* (* x x) (- 3 (* x 2))) (- 3 (* x 2)) (* (* (+ (* -2 x) 3) x) x) (* (+ (* -2 x) 3) x) (+ (* -2 x) 3) (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) 3)) (* (* (+ (* 4 (* x x)) 9) x) x) (* (+ (* 4 (* x x)) 9) x) (+ (* 4 (* x x)) 9) (+ (* (* 4 (* x x)) (/ (* -2 x) (+ (* x (+ (* 4 x) 6)) 9))) (/ 27 (+ (* x (+ (* 4 x) 6)) 9))) (* (* x x) (+ (* (* 4 (* x x)) (/ (* -2 x) (+ (* x (+ (* 4 x) 6)) 9))) (/ 27 (+ (* x (+ (* 4 x) 6)) 9)))) (* 4 (* x x)) (/ (* -2 x) (+ (* x (+ (* 4 x) 6)) 9)) (/ 27 (+ (* x (+ (* 4 x) 6)) 9)))
3.0ms
x
@0
((- (- 3 x) x) (* (* x x) (- (- 3 x) x)) (* x x) (- 3 x) (* (* x x) (- 3 (* x 2))) (- 3 (* x 2)) (* (* (+ (* -2 x) 3) x) x) (* (+ (* -2 x) 3) x) (+ (* -2 x) 3) (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) 3)) (* (* (+ (* 4 (* x x)) 9) x) x) (* (+ (* 4 (* x x)) 9) x) (+ (* 4 (* x x)) 9) (+ (* (* 4 (* x x)) (/ (* -2 x) (+ (* x (+ (* 4 x) 6)) 9))) (/ 27 (+ (* x (+ (* 4 x) 6)) 9))) (* (* x x) (+ (* (* 4 (* x x)) (/ (* -2 x) (+ (* x (+ (* 4 x) 6)) 9))) (/ 27 (+ (* x (+ (* 4 x) 6)) 9)))) (* 4 (* x x)) (/ (* -2 x) (+ (* x (+ (* 4 x) 6)) 9)) (/ 27 (+ (* x (+ (* 4 x) 6)) 9)))

simplify146.0ms (2.6%)

Memory
-8.1MiB live, 272.6MiB allocated; 38ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0196545
1629537
21904526
37007520
08514500
Stop Event
iter limit
node limit
Counts
58 → 58
Calls
Call 1
Inputs
3
(+ 3 (* -2 x))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(pow x 2)
(+ 3 (* -1 x))
(* 3 x)
(* x (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* 2 x)))
(* (pow x 2) (+ 3 (* x (+ 2 (* 8/3 x)))))
(* (pow x 2) (+ 3 (* x (+ 2 (* x (+ 8/3 (* 16/9 x)))))))
(* 9 (pow x 2))
(* (pow x 2) (+ 9 (* 4 (pow x 2))))
(* 9 x)
(* x (+ 9 (* 4 (pow x 2))))
9
(+ 9 (* 4 (pow x 2)))
(* 4 (pow x 2))
(* -2/9 x)
(* x (- (* 4/27 x) 2/9))
(* x (- (* x (+ 4/27 (* -16/243 (pow x 2)))) 2/9))
(* x (- (* x (+ 4/27 (* (pow x 2) (- (* 32/729 x) 16/243)))) 2/9))
(+ 3 (* x (- (* 8/9 (pow x 2)) 2)))
(+ 3 (* x (- (* (pow x 2) (+ 8/9 (* -16/27 x))) 2)))
(* -2 x)
(* x (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -1 x)
(* x (- (* 3 (/ 1 x)) 1))
(* -2 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* -1 (* (pow x 3) (+ 2 (* 3 (/ 1 x)))))
(* (pow x 3) (- (* -1 (/ (+ 3 (* 9 (/ 1 x))) x)) 2))
(* (pow x 3) (- (* -1 (/ (+ 9 (* 27/2 (/ 1 x))) (pow x 2))) (+ 2 (* 3 (/ 1 x)))))
(* 4 (pow x 4))
(* (pow x 4) (+ 4 (* 9 (/ 1 (pow x 2)))))
(* 4 (pow x 3))
(* (pow x 3) (+ 4 (* 9 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 4 (* 9 (/ 1 (pow x 2)))))
(/ -1/2 x)
(/ (- (* 3/4 (/ 1 x)) 1/2) x)
(/ (- (* 3/4 (/ 1 x)) (+ 1/2 (/ 27/16 (pow x 3)))) x)
(/ (- (+ (* 3/4 (/ 1 x)) (* 81/32 (/ 1 (pow x 4)))) (+ 1/2 (/ 27/16 (pow x 3)))) x)
(/ 27/4 (pow x 2))
(/ (- 27/4 (* 81/8 (/ 1 x))) (pow x 2))
(/ (- (+ 27/4 (/ 729/32 (pow x 3))) (* 81/8 (/ 1 x))) (pow x 2))
(/ (- (+ 27/4 (/ 729/32 (pow x 3))) (+ (* 81/8 (/ 1 x)) (* 2187/64 (/ 1 (pow x 4))))) (pow x 2))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 1 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 2 (+ (* 3 (/ 1 x)) (/ 9 (pow x 2))))))
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (- (* -1 (/ (+ 9 (* 27/2 (/ 1 x))) x)) 3) x)))))
(* -1 (/ (- 1/2 (* 3/4 (/ 1 x))) x))
(* -1 (/ (+ 1/2 (* -1 (/ (- 3/4 (* 27/16 (/ 1 (pow x 2)))) x))) x))
(* -1 (/ (+ 1/2 (* -1 (/ (- (+ 3/4 (/ 81/32 (pow x 3))) (* 27/16 (/ 1 (pow x 2)))) x))) x))
(/ (+ 27/4 (* -1 (/ (- 81/8 (* 729/32 (/ 1 (pow x 2)))) x))) (pow x 2))
(/ (+ 27/4 (* -1 (/ (- (+ 81/8 (/ 2187/64 (pow x 3))) (* 729/32 (/ 1 (pow x 2)))) x))) (pow x 2))
Outputs
3
#s(literal 3 binary64)
(+ 3 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* 3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3 binary64))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(pow x 2)
(*.f64 x x)
(+ 3 (* -1 x))
(-.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (* -2 x)))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(* (pow x 2) (+ 3 (* 2 x)))
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* x (+ 2 (* 8/3 x)))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 2 binary64)) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* x (+ 2 (* x (+ 8/3 (* 16/9 x)))))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 16/9 binary64) x #s(literal 8/3 binary64)) x #s(literal 2 binary64)) x #s(literal 3 binary64)) x) x)
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* (pow x 2) (+ 9 (* 4 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* x (+ 9 (* 4 (pow x 2))))
(*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x)
9
#s(literal 9 binary64)
(+ 9 (* 4 (pow x 2)))
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64))
(* 4 (pow x 2))
(*.f64 #s(literal 4 binary64) (*.f64 x x))
(* -2/9 x)
(*.f64 #s(literal -2/9 binary64) x)
(* x (- (* 4/27 x) 2/9))
(*.f64 (-.f64 (*.f64 #s(literal 4/27 binary64) x) #s(literal 2/9 binary64)) x)
(* x (- (* x (+ 4/27 (* -16/243 (pow x 2)))) 2/9))
(*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -16/243 binary64) (*.f64 x x) #s(literal 4/27 binary64)) x) #s(literal 2/9 binary64)) x)
(* x (- (* x (+ 4/27 (* (pow x 2) (- (* 32/729 x) 16/243)))) 2/9))
(*.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 32/729 binary64) x) #s(literal 16/243 binary64)) (*.f64 x x) #s(literal 4/27 binary64)) x) #s(literal 2/9 binary64)) x)
(+ 3 (* x (- (* 8/9 (pow x 2)) 2)))
(fma.f64 (-.f64 (*.f64 #s(literal 8/9 binary64) (*.f64 x x)) #s(literal 2 binary64)) x #s(literal 3 binary64))
(+ 3 (* x (- (* (pow x 2) (+ 8/9 (* -16/27 x))) 2)))
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -16/27 binary64) x #s(literal 8/9 binary64)) x) x) #s(literal 2 binary64)) x #s(literal 3 binary64))
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* x (- (* 3 (/ 1 x)) 2))
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) x)
(* -2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)))
(* -1 x)
(neg.f64 x)
(* x (- (* 3 (/ 1 x)) 1))
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) x)
(* -2 (pow x 2))
(*.f64 (*.f64 #s(literal -2 binary64) x) x)
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) x) x)
(* -1 (* (pow x 3) (+ 2 (* 3 (/ 1 x)))))
(*.f64 (+.f64 (/.f64 #s(literal -3 binary64) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* -1 (/ (+ 3 (* 9 (/ 1 x))) x)) 2))
(*.f64 (-.f64 (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -9 binary64) x)) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* -1 (/ (+ 9 (* 27/2 (/ 1 x))) (pow x 2))) (+ 2 (* 3 (/ 1 x)))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -27/2 binary64) x) #s(literal -9 binary64)) x) #s(literal 3 binary64)) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* 4 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))
(* (pow x 4) (+ 4 (* 9 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal 9 binary64) x) x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* 4 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))
(* (pow x 3) (+ 4 (* 9 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x)
(* (pow x 2) (+ 4 (* 9 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ (- (* 3/4 (/ 1 x)) 1/2) x)
(/.f64 (-.f64 (/.f64 #s(literal 3/4 binary64) x) #s(literal 1/2 binary64)) x)
(/ (- (* 3/4 (/ 1 x)) (+ 1/2 (/ 27/16 (pow x 3)))) x)
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/4 binary64) x) #s(literal 1/2 binary64)) x) (/.f64 #s(literal 27/16 binary64) (pow.f64 x #s(literal 4 binary64))))
(/ (- (+ (* 3/4 (/ 1 x)) (* 81/32 (/ 1 (pow x 4)))) (+ 1/2 (/ 27/16 (pow x 3)))) x)
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 81/32 binary64) x) #s(literal -27/16 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) x))) x)
(/ 27/4 (pow x 2))
(/.f64 #s(literal 27/4 binary64) (*.f64 x x))
(/ (- 27/4 (* 81/8 (/ 1 x))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 27/4 binary64) (/.f64 #s(literal 81/8 binary64) x)) x) x)
(/ (- (+ 27/4 (/ 729/32 (pow x 3))) (* 81/8 (/ 1 x))) (pow x 2))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 729/32 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 27/4 binary64)) (/.f64 #s(literal 81/8 binary64) x)) (*.f64 x x))
(/ (- (+ 27/4 (/ 729/32 (pow x 3))) (+ (* 81/8 (/ 1 x)) (* 2187/64 (/ 1 (pow x 4))))) (pow x 2))
(/.f64 (-.f64 (-.f64 #s(literal 27/4 binary64) (/.f64 #s(literal 81/8 binary64) x)) (/.f64 (+.f64 (/.f64 #s(literal 2187/64 binary64) x) #s(literal -729/32 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(*.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x) #s(literal -1 binary64) #s(literal -2 binary64)) x)
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x) #s(literal -1 binary64) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* x (- 1 (* 3 (/ 1 x)))))
(neg.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x) x x))
(* -1 (* (pow x 3) (+ 2 (+ (* 3 (/ 1 x)) (/ 9 (pow x 2))))))
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (*.f64 x x) #s(literal 9 binary64)) (neg.f64 x))
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (- (* -1 (/ (+ 9 (* 27/2 (/ 1 x))) x)) 3) x)))))
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -27/2 binary64) x) #s(literal -9 binary64)) x) #s(literal 3 binary64)) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (/ (- 1/2 (* 3/4 (/ 1 x))) x))
(/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) x) #s(literal -1/2 binary64)) x)
(* -1 (/ (+ 1/2 (* -1 (/ (- 3/4 (* 27/16 (/ 1 (pow x 2)))) x))) x))
(/.f64 (+.f64 (/.f64 (-.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 27/16 binary64) (*.f64 x x))) x) #s(literal -1/2 binary64)) x)
(* -1 (/ (+ 1/2 (* -1 (/ (- (+ 3/4 (/ 81/32 (pow x 3))) (* 27/16 (/ 1 (pow x 2)))) x))) x))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -27/16 binary64) (/.f64 #s(literal 81/32 binary64) x)) (*.f64 x x)) #s(literal 3/4 binary64)) x) #s(literal -1/2 binary64)) x)
(/ (+ 27/4 (* -1 (/ (- 81/8 (* 729/32 (/ 1 (pow x 2)))) x))) (pow x 2))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 729/32 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 27/4 binary64)) (/.f64 #s(literal 81/8 binary64) x)) (*.f64 x x))
(/ (+ 27/4 (* -1 (/ (- (+ 81/8 (/ 2187/64 (pow x 3))) (* 729/32 (/ 1 (pow x 2)))) x))) (pow x 2))
(/.f64 (-.f64 (-.f64 #s(literal 27/4 binary64) (/.f64 #s(literal 81/8 binary64) x)) (/.f64 (+.f64 (/.f64 #s(literal 2187/64 binary64) x) #s(literal -729/32 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))

rewrite254.0ms (4.6%)

Memory
22.9MiB live, 376.1MiB allocated; 50ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031176
054178
1212150
21658150
08372148
Stop Event
iter limit
node limit
iter limit
Counts
18 → 575
Calls
Call 1
Inputs
(-.f64 (-.f64 #s(literal 3 binary64) x) x)
(*.f64 (*.f64 x x) (-.f64 (-.f64 #s(literal 3 binary64) x) x))
(*.f64 x x)
(-.f64 #s(literal 3 binary64) x)
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))
(*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x)
(*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x)
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64))
(fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))))
(*.f64 #s(literal 4 binary64) (*.f64 x x))
(/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))
(/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))
Outputs
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 3 binary64) x) x)) (/.f64 (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 3 binary64) x) x))) (*.f64 (/.f64 (*.f64 x x) (+.f64 (-.f64 #s(literal 3 binary64) x) x)) (/.f64 (*.f64 x x) (+.f64 (-.f64 #s(literal 3 binary64) x) x)))) (+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 3 binary64) x) x)) (/.f64 (*.f64 x x) (+.f64 (-.f64 #s(literal 3 binary64) x) x))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 x (+.f64 (-.f64 #s(literal 3 binary64) x) x) (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 x (+.f64 (-.f64 #s(literal 3 binary64) x) x) (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 (-.f64 #s(literal 3 binary64) x) x) (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 (-.f64 #s(literal 3 binary64) x) x) (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 x (+.f64 (-.f64 #s(literal 3 binary64) x) x) (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 (-.f64 #s(literal 3 binary64) x) x) (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal 9 binary64) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))))
(/.f64 (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64)) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64)))) (+.f64 #s(literal 3 binary64) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64))))) (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64)))))) (*.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64))))) (/.f64 #s(literal 27 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64))))))) (-.f64 (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64))))) (/.f64 #s(literal 27 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 3 binary64) x) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (+.f64 (-.f64 #s(literal 3 binary64) x) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 3 binary64) x) x)) (/.f64 (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 3 binary64) x) x)) (fma.f64 (/.f64 (*.f64 x x) (+.f64 (-.f64 #s(literal 3 binary64) x) x)) (/.f64 (*.f64 x x) (+.f64 (-.f64 #s(literal 3 binary64) x) x)) (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 3 binary64) x) x)) (/.f64 (*.f64 x x) (+.f64 (-.f64 #s(literal 3 binary64) x) x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 x (+.f64 (-.f64 #s(literal 3 binary64) x) x) (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 (-.f64 #s(literal 3 binary64) x) x) (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 x (+.f64 (-.f64 #s(literal 3 binary64) x) x) (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 x (+.f64 (-.f64 #s(literal 3 binary64) x) x) (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 (-.f64 #s(literal 3 binary64) x) x) (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 (-.f64 #s(literal 3 binary64) x) x) (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 x (+.f64 (-.f64 #s(literal 3 binary64) x) x) (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 (-.f64 #s(literal 3 binary64) x) x) (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 9 binary64) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 9 binary64) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))))))
(/.f64 (-.f64 #s(literal 27 binary64) (pow.f64 (*.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 9 binary64) (fma.f64 (*.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64)) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) #s(literal 3 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 9 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 6 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -216 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64))))) (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64))))) (-.f64 (*.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64))))) (/.f64 #s(literal 27 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64)))))) (*.f64 (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64))))) (/.f64 #s(literal 27 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64)))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (+.f64 (-.f64 #s(literal 3 binary64) x) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (+.f64 (-.f64 #s(literal 3 binary64) x) x) (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 27 binary64) (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 9 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (+.f64 (-.f64 #s(literal 3 binary64) x) x)) (*.f64 (+.f64 (-.f64 #s(literal 3 binary64) x) x) (*.f64 x x))) (*.f64 (+.f64 (-.f64 #s(literal 3 binary64) x) x) (+.f64 (-.f64 #s(literal 3 binary64) x) x)))
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 x (+.f64 (-.f64 #s(literal 3 binary64) x) x) (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)))) (*.f64 (fma.f64 x (+.f64 (-.f64 #s(literal 3 binary64) x) x) (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 x (+.f64 (-.f64 #s(literal 3 binary64) x) x) (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))) (fma.f64 x (+.f64 (-.f64 #s(literal 3 binary64) x) x) (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) #s(literal 9 binary64))) (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 9 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 x x)))) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal -27 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal -27 binary64) (neg.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))) (*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 27 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) (*.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))) (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))))
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(*.f64 x (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)))
(*.f64 x (*.f64 #s(literal 4 binary64) x))
(pow.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 4 binary64)))
(fabs.f64 (neg.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x))))
(fabs.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 2 binary64)) #s(literal 81 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 9 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (+.f64 #s(literal 729 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 3 binary64)))) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 2 binary64)) #s(literal 81 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 9 binary64))))
(*.f64 (/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))))
(*.f64 x (/.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))))))
(/.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) (neg.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))))
(/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) x) (neg.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))))
(neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))))
(neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (neg.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))))
(+.f64 (/.f64 x (neg.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))) (/.f64 x (neg.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))))
(*.f64 (/.f64 #s(literal 27 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 2 binary64)) #s(literal 81 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 9 binary64)))
(*.f64 (/.f64 #s(literal 27 binary64) (+.f64 #s(literal 729 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 3 binary64)))) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 2 binary64)) #s(literal 81 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 9 binary64))))
(/.f64 #s(literal -27 binary64) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))))))
(/.f64 #s(literal -27 binary64) (neg.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))))
(/.f64 #s(literal 27 binary64) (neg.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))))
(/.f64 #s(literal 27 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))
(neg.f64 (/.f64 #s(literal -27 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))))

eval105.0ms (1.9%)

Memory
-22.0MiB live, 155.7MiB allocated; 45ms collecting garbage
Compiler

Compiled 20 541 to 2 299 computations (88.8% saved)

prune17.0ms (0.3%)

Memory
37.3MiB live, 37.3MiB allocated; 0ms collecting garbage
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New6137620
Fresh426
Picked235
Done000
Total61912631
Accuracy
100.0%
Counts
631 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.8%
(/.f64 (*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))
90.9%
(-.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)))
99.8%
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x)) x)
99.8%
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
69.5%
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
76.0%
(*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 4 binary64) x)) x (/.f64 #s(literal 27 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))))
22.9%
(*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) #s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x)))))
53.8%
(*.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)))
99.8%
(*.f64 (*.f64 x x) (-.f64 (-.f64 #s(literal 3 binary64) x) x))
74.7%
(*.f64 (*.f64 x x) (-.f64 #s(approx (- 3 x) (neg.f64 x)) x))
69.5%
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
74.7%
#s(approx (* (* x x) (- (- 3 x) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))
Compiler

Compiled 346 to 233 computations (32.7% saved)

simplify186.0ms (3.3%)

Memory
-29.5MiB live, 200.3MiB allocated; 53ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 x #s(literal 3 binary64))
cost-diff0
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
cost-diff0
#s(approx (* (* x x) (- (- 3 x) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))
cost-diff0
(*.f64 #s(literal 4 binary64) (*.f64 x x))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) #s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x)))))
cost-diff4
(fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) #s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x))))
cost-diff0
#s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64))
cost-diff0
(*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x)
cost-diff0
(*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) x)
cost-diff0
(/.f64 (*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))
cost-diff0
#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
cost-diff0
(*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x)
cost-diff0
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
cost-diff0
(*.f64 #s(literal -2 binary64) x)
cost-diff0
(*.f64 (*.f64 #s(literal -2 binary64) x) x)
cost-diff0
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x)) x)
cost-diff2
(fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046270
070270
1137260
2393256
31434256
43722256
57521256
08053250
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x)) x)
(fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x))
x
#s(literal 3 binary64)
(*.f64 (*.f64 #s(literal -2 binary64) x) x)
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
(*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x)
#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
#s(literal 3 binary64)
x
(/.f64 (*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))
(*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) x)
(*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x)
#s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64))
#s(literal 9 binary64)
x
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
#s(literal -2 binary64)
#s(literal 3 binary64)
(*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) #s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x)))))
(*.f64 x x)
x
(fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) #s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x))))
(*.f64 #s(literal 4 binary64) (*.f64 x x))
#s(literal 4 binary64)
(/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
(fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))
(fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))
#s(literal 6 binary64)
#s(literal 9 binary64)
#s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x)))
(/.f64 #s(literal 27/4 binary64) (*.f64 x x))
#s(literal 27/4 binary64)
#s(approx (* (* x x) (- (- 3 x) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal -2 binary64)
Outputs
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x)) x)
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
x
#s(literal 3 binary64)
(*.f64 (*.f64 #s(literal -2 binary64) x) x)
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
(*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x)
#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
#s(literal 3 binary64)
x
(/.f64 (*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))
(*.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) x) #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)))
(*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) x)
(*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x)
#s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64))
#s(literal 9 binary64)
x
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
#s(literal -2 binary64)
#s(literal 3 binary64)
(*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) #s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x)))))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal -8 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) #s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x)))) (*.f64 x x))
(*.f64 x x)
x
(fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) #s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal -8 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) #s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x))))
(*.f64 #s(literal 4 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 4 binary64))
#s(literal 4 binary64)
(/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))
(*.f64 (/.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) x)
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
(fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))
(fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))
(fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))
#s(literal 6 binary64)
#s(literal 9 binary64)
#s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x)))
(/.f64 #s(literal 27/4 binary64) (*.f64 x x))
#s(literal 27/4 binary64)
#s(approx (* (* x x) (- (- 3 x) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal -2 binary64)

localize310.0ms (5.6%)

Memory
9.2MiB live, 273.5MiB allocated; 43ms collecting garbage
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(pow.f64 x #s(literal 3 binary64))
accuracy0.01171875
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
accuracy16.18131996631622
#s(approx (* (* x x) (- (- 3 x) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))
accuracy0.21847131068016815
(/.f64 #s(literal 27/4 binary64) (*.f64 x x))
accuracy14.264237610270143
(/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))
accuracy14.274932179801327
(fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) #s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x))))
accuracy33.85160660865549
#s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x)))
accuracy0.07421875
(*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x)
accuracy0.09765625
(*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) x)
accuracy1.6845911750440339
(/.f64 (*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))
accuracy28.225019710578078
#s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64))
accuracy0.08984375
(*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x)
accuracy0.1015625
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
accuracy28.59866568767271
#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
accuracy0.0
(*.f64 (*.f64 #s(literal -2 binary64) x) x)
accuracy0.0
(*.f64 #s(literal -2 binary64) x)
accuracy0.05078125
(fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x))
accuracy0.1015625
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x)) x)
Samples
243.0ms226×0valid
10.0ms15×2valid
5.0ms10×1valid
4.0ms3valid
Compiler

Compiled 255 to 42 computations (83.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 241.0ms
ival-add: 143.0ms (59.4% of total)
ival-mult: 72.0ms (29.9% of total)
ival-pow: 9.0ms (3.7% of total)
ival-div: 6.0ms (2.5% of total)
adjust: 6.0ms (2.5% of total)
ival-sub: 4.0ms (1.7% of total)
exact: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series14.0ms (0.2%)

Memory
-7.5MiB live, 37.3MiB allocated; 5ms collecting garbage
Counts
21 → 55
Calls
Call 1
Inputs
(fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x))
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x)) x)
(*.f64 (*.f64 #s(literal -2 binary64) x) x)
(*.f64 #s(literal -2 binary64) x)
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
(*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x)
#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
(/.f64 (*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))
(*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) x)
(*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x)
#s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64))
(fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) #s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) #s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x)))))
(*.f64 x x)
(*.f64 #s(literal 4 binary64) (*.f64 x x))
#s(approx (* (* x x) (- (- 3 x) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(pow.f64 x #s(literal 3 binary64))
#s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x)))
(/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))
(/.f64 #s(literal 27/4 binary64) (*.f64 x x))
Outputs
(* 3 x)
(* x (+ 3 (* -2 x)))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* -2 (pow x 2))
(* -2 x)
3
(+ 3 (* -2 x))
(* (pow x 2) (+ 3 (* 2 x)))
(* (pow x 2) (+ 3 (* x (+ 2 (* 8/3 x)))))
(* (pow x 2) (+ 3 (* x (+ 2 (* x (+ 8/3 (* 16/9 x)))))))
(* 9 (pow x 2))
(* (pow x 2) (+ 9 (* 4 (pow x 2))))
(* 9 x)
(* x (+ 9 (* 4 (pow x 2))))
9
(+ 9 (* 4 (pow x 2)))
(pow x 2)
(* 4 (pow x 2))
(* -2 (pow x 3))
(pow x 3)
(+ 3 (* x (- (* 8/9 (pow x 2)) 2)))
(+ 3 (* x (- (* (pow x 2) (+ 8/9 (* -16/27 x))) 2)))
(* -2/9 x)
(* x (- (* 4/27 x) 2/9))
(* x (- (* x (+ 4/27 (* -16/243 (pow x 2)))) 2/9))
(* x (- (* x (+ 4/27 (* (pow x 2) (- (* 32/729 x) 16/243)))) 2/9))
(/ 27/4 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* x (- (* 3 (/ 1 x)) 2))
(* -1 (* (pow x 3) (+ 2 (* 3 (/ 1 x)))))
(* (pow x 3) (- (* -1 (/ (+ 3 (* 9 (/ 1 x))) x)) 2))
(* (pow x 3) (- (* -1 (/ (+ 9 (* 27/2 (/ 1 x))) (pow x 2))) (+ 2 (* 3 (/ 1 x)))))
(* 4 (pow x 4))
(* (pow x 4) (+ 4 (* 9 (/ 1 (pow x 2)))))
(* 4 (pow x 3))
(* (pow x 3) (+ 4 (* 9 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 4 (* 9 (/ 1 (pow x 2)))))
(/ (- 27/4 (* 81/8 (/ 1 x))) (pow x 2))
(/ (- (+ 27/4 (/ 729/32 (pow x 3))) (* 81/8 (/ 1 x))) (pow x 2))
(/ (- (+ 27/4 (/ 729/32 (pow x 3))) (+ (* 81/8 (/ 1 x)) (* 2187/64 (/ 1 (pow x 4))))) (pow x 2))
(/ -1/2 x)
(/ (- (* 3/4 (/ 1 x)) 1/2) x)
(/ (- (* 3/4 (/ 1 x)) (+ 1/2 (/ 27/16 (pow x 3)))) x)
(/ (- (+ (* 3/4 (/ 1 x)) (* 81/32 (/ 1 (pow x 4)))) (+ 1/2 (/ 27/16 (pow x 3)))) x)
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 2 (+ (* 3 (/ 1 x)) (/ 9 (pow x 2))))))
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (- (* -1 (/ (+ 9 (* 27/2 (/ 1 x))) x)) 3) x)))))
(/ (+ 27/4 (* -1 (/ (- 81/8 (* 729/32 (/ 1 (pow x 2)))) x))) (pow x 2))
(/ (+ 27/4 (* -1 (/ (- (+ 81/8 (/ 2187/64 (pow x 3))) (* 729/32 (/ 1 (pow x 2)))) x))) (pow x 2))
(* -1 (/ (- 1/2 (* 3/4 (/ 1 x))) x))
(* -1 (/ (+ 1/2 (* -1 (/ (- 3/4 (* 27/16 (/ 1 (pow x 2)))) x))) x))
(* -1 (/ (+ 1/2 (* -1 (/ (- (+ 3/4 (/ 81/32 (pow x 3))) (* 27/16 (/ 1 (pow x 2)))) x))) x))
Calls

3 calls:

TimeVariablePointExpression
6.0ms
x
@0
((+ (* x 3) (* (* -2 x) x)) (* (+ (* x 3) (* (* -2 x) x)) x) (* (* -2 x) x) (* -2 x) (* (* (- 3 (* x 2)) x) x) (* (- 3 (* x 2)) x) (- 3 (* x 2)) (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) 3)) (* (* (+ (* 4 (* x x)) 9) x) x) (* (+ (* 4 (* x x)) 9) x) (+ (* 4 (* x x)) 9) (+ (* (* 4 (* x x)) (/ (* -2 x) (+ (* x (+ (* 4 x) 6)) 9))) (/ 27 (+ (* x (+ (* 4 x) 6)) 9))) (* (* x x) (+ (* (* 4 (* x x)) (/ (* -2 x) (+ (* x (+ (* 4 x) 6)) 9))) (/ 27 (+ (* x (+ (* 4 x) 6)) 9)))) (* x x) (* 4 (* x x)) (* (* x x) (- (- 3 x) x)) (* (pow x 3) -2) (pow x 3) (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/ (* -2 x) (+ (* x (+ (* 4 x) 6)) 9)) (/ 27/4 (* x x)))
3.0ms
x
@-inf
((+ (* x 3) (* (* -2 x) x)) (* (+ (* x 3) (* (* -2 x) x)) x) (* (* -2 x) x) (* -2 x) (* (* (- 3 (* x 2)) x) x) (* (- 3 (* x 2)) x) (- 3 (* x 2)) (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) 3)) (* (* (+ (* 4 (* x x)) 9) x) x) (* (+ (* 4 (* x x)) 9) x) (+ (* 4 (* x x)) 9) (+ (* (* 4 (* x x)) (/ (* -2 x) (+ (* x (+ (* 4 x) 6)) 9))) (/ 27 (+ (* x (+ (* 4 x) 6)) 9))) (* (* x x) (+ (* (* 4 (* x x)) (/ (* -2 x) (+ (* x (+ (* 4 x) 6)) 9))) (/ 27 (+ (* x (+ (* 4 x) 6)) 9)))) (* x x) (* 4 (* x x)) (* (* x x) (- (- 3 x) x)) (* (pow x 3) -2) (pow x 3) (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/ (* -2 x) (+ (* x (+ (* 4 x) 6)) 9)) (/ 27/4 (* x x)))
3.0ms
x
@inf
((+ (* x 3) (* (* -2 x) x)) (* (+ (* x 3) (* (* -2 x) x)) x) (* (* -2 x) x) (* -2 x) (* (* (- 3 (* x 2)) x) x) (* (- 3 (* x 2)) x) (- 3 (* x 2)) (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) 3)) (* (* (+ (* 4 (* x x)) 9) x) x) (* (+ (* 4 (* x x)) 9) x) (+ (* 4 (* x x)) 9) (+ (* (* 4 (* x x)) (/ (* -2 x) (+ (* x (+ (* 4 x) 6)) 9))) (/ 27 (+ (* x (+ (* 4 x) 6)) 9))) (* (* x x) (+ (* (* 4 (* x x)) (/ (* -2 x) (+ (* x (+ (* 4 x) 6)) 9))) (/ 27 (+ (* x (+ (* 4 x) 6)) 9)))) (* x x) (* 4 (* x x)) (* (* x x) (- (- 3 x) x)) (* (pow x 3) -2) (pow x 3) (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/ (* -2 x) (+ (* x (+ (* 4 x) 6)) 9)) (/ 27/4 (* x x)))

simplify149.0ms (2.7%)

Memory
20.1MiB live, 237.5MiB allocated; 43ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0189527
1612520
21856503
36893503
08006483
Stop Event
iter limit
node limit
Counts
55 → 55
Calls
Call 1
Inputs
(* 3 x)
(* x (+ 3 (* -2 x)))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* -2 (pow x 2))
(* -2 x)
3
(+ 3 (* -2 x))
(* (pow x 2) (+ 3 (* 2 x)))
(* (pow x 2) (+ 3 (* x (+ 2 (* 8/3 x)))))
(* (pow x 2) (+ 3 (* x (+ 2 (* x (+ 8/3 (* 16/9 x)))))))
(* 9 (pow x 2))
(* (pow x 2) (+ 9 (* 4 (pow x 2))))
(* 9 x)
(* x (+ 9 (* 4 (pow x 2))))
9
(+ 9 (* 4 (pow x 2)))
(pow x 2)
(* 4 (pow x 2))
(* -2 (pow x 3))
(pow x 3)
(+ 3 (* x (- (* 8/9 (pow x 2)) 2)))
(+ 3 (* x (- (* (pow x 2) (+ 8/9 (* -16/27 x))) 2)))
(* -2/9 x)
(* x (- (* 4/27 x) 2/9))
(* x (- (* x (+ 4/27 (* -16/243 (pow x 2)))) 2/9))
(* x (- (* x (+ 4/27 (* (pow x 2) (- (* 32/729 x) 16/243)))) 2/9))
(/ 27/4 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* x (- (* 3 (/ 1 x)) 2))
(* -1 (* (pow x 3) (+ 2 (* 3 (/ 1 x)))))
(* (pow x 3) (- (* -1 (/ (+ 3 (* 9 (/ 1 x))) x)) 2))
(* (pow x 3) (- (* -1 (/ (+ 9 (* 27/2 (/ 1 x))) (pow x 2))) (+ 2 (* 3 (/ 1 x)))))
(* 4 (pow x 4))
(* (pow x 4) (+ 4 (* 9 (/ 1 (pow x 2)))))
(* 4 (pow x 3))
(* (pow x 3) (+ 4 (* 9 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 4 (* 9 (/ 1 (pow x 2)))))
(/ (- 27/4 (* 81/8 (/ 1 x))) (pow x 2))
(/ (- (+ 27/4 (/ 729/32 (pow x 3))) (* 81/8 (/ 1 x))) (pow x 2))
(/ (- (+ 27/4 (/ 729/32 (pow x 3))) (+ (* 81/8 (/ 1 x)) (* 2187/64 (/ 1 (pow x 4))))) (pow x 2))
(/ -1/2 x)
(/ (- (* 3/4 (/ 1 x)) 1/2) x)
(/ (- (* 3/4 (/ 1 x)) (+ 1/2 (/ 27/16 (pow x 3)))) x)
(/ (- (+ (* 3/4 (/ 1 x)) (* 81/32 (/ 1 (pow x 4)))) (+ 1/2 (/ 27/16 (pow x 3)))) x)
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 2 (+ (* 3 (/ 1 x)) (/ 9 (pow x 2))))))
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (- (* -1 (/ (+ 9 (* 27/2 (/ 1 x))) x)) 3) x)))))
(/ (+ 27/4 (* -1 (/ (- 81/8 (* 729/32 (/ 1 (pow x 2)))) x))) (pow x 2))
(/ (+ 27/4 (* -1 (/ (- (+ 81/8 (/ 2187/64 (pow x 3))) (* 729/32 (/ 1 (pow x 2)))) x))) (pow x 2))
(* -1 (/ (- 1/2 (* 3/4 (/ 1 x))) x))
(* -1 (/ (+ 1/2 (* -1 (/ (- 3/4 (* 27/16 (/ 1 (pow x 2)))) x))) x))
(* -1 (/ (+ 1/2 (* -1 (/ (- (+ 3/4 (/ 81/32 (pow x 3))) (* 27/16 (/ 1 (pow x 2)))) x))) x))
Outputs
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (* -2 x)))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(* 3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3 binary64))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -2 (pow x 2))
(*.f64 (*.f64 #s(literal -2 binary64) x) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
3
#s(literal 3 binary64)
(+ 3 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* (pow x 2) (+ 3 (* 2 x)))
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* x (+ 2 (* 8/3 x)))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 2 binary64)) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* x (+ 2 (* x (+ 8/3 (* 16/9 x)))))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 16/9 binary64) x #s(literal 8/3 binary64)) x #s(literal 2 binary64)) x #s(literal 3 binary64)) x) x)
(* 9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 9 binary64))
(* (pow x 2) (+ 9 (* 4 (pow x 2))))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) x) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* x (+ 9 (* 4 (pow x 2))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) x)
9
#s(literal 9 binary64)
(+ 9 (* 4 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64))
(pow x 2)
(*.f64 x x)
(* 4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 4 binary64))
(* -2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(+ 3 (* x (- (* 8/9 (pow x 2)) 2)))
(fma.f64 (-.f64 (*.f64 #s(literal 8/9 binary64) (*.f64 x x)) #s(literal 2 binary64)) x #s(literal 3 binary64))
(+ 3 (* x (- (* (pow x 2) (+ 8/9 (* -16/27 x))) 2)))
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -16/27 binary64) x #s(literal 8/9 binary64)) x) x) #s(literal 2 binary64)) x #s(literal 3 binary64))
(* -2/9 x)
(*.f64 #s(literal -2/9 binary64) x)
(* x (- (* 4/27 x) 2/9))
(*.f64 (-.f64 (*.f64 #s(literal 4/27 binary64) x) #s(literal 2/9 binary64)) x)
(* x (- (* x (+ 4/27 (* -16/243 (pow x 2)))) 2/9))
(*.f64 (fma.f64 #s(literal -16/243 binary64) (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 4/27 binary64) x) #s(literal 2/9 binary64))) x)
(* x (- (* x (+ 4/27 (* (pow x 2) (- (* 32/729 x) 16/243)))) 2/9))
(*.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 32/729 binary64) x) #s(literal 16/243 binary64)) (*.f64 x x) #s(literal 4/27 binary64)) x) #s(literal 2/9 binary64)) x)
(/ 27/4 (pow x 2))
(/.f64 #s(literal 27/4 binary64) (*.f64 x x))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) x) x)
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* x (- (* 3 (/ 1 x)) 2))
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) x)
(* -1 (* (pow x 3) (+ 2 (* 3 (/ 1 x)))))
(*.f64 (+.f64 (/.f64 #s(literal -3 binary64) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* -1 (/ (+ 3 (* 9 (/ 1 x))) x)) 2))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -9 binary64) x) #s(literal -3 binary64)) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* -1 (/ (+ 9 (* 27/2 (/ 1 x))) (pow x 2))) (+ 2 (* 3 (/ 1 x)))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -27/2 binary64) x) #s(literal -9 binary64)) x) #s(literal 3 binary64)) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* 4 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))
(* (pow x 4) (+ 4 (* 9 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal 9 binary64) x) x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* 4 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64))
(* (pow x 3) (+ 4 (* 9 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) x)
(* (pow x 2) (+ 4 (* 9 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64))
(/ (- 27/4 (* 81/8 (/ 1 x))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 27/4 binary64) (/.f64 #s(literal 81/8 binary64) x)) x) x)
(/ (- (+ 27/4 (/ 729/32 (pow x 3))) (* 81/8 (/ 1 x))) (pow x 2))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 729/32 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 27/4 binary64)) (/.f64 #s(literal 81/8 binary64) x)) (*.f64 x x))
(/ (- (+ 27/4 (/ 729/32 (pow x 3))) (+ (* 81/8 (/ 1 x)) (* 2187/64 (/ 1 (pow x 4))))) (pow x 2))
(/.f64 (-.f64 (-.f64 #s(literal 27/4 binary64) (/.f64 #s(literal 81/8 binary64) x)) (/.f64 (+.f64 (/.f64 #s(literal 2187/64 binary64) x) #s(literal -729/32 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ (- (* 3/4 (/ 1 x)) 1/2) x)
(/.f64 (-.f64 (/.f64 #s(literal 3/4 binary64) x) #s(literal 1/2 binary64)) x)
(/ (- (* 3/4 (/ 1 x)) (+ 1/2 (/ 27/16 (pow x 3)))) x)
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/4 binary64) x) #s(literal 1/2 binary64)) x) (/.f64 #s(literal 27/16 binary64) (pow.f64 x #s(literal 4 binary64))))
(/ (- (+ (* 3/4 (/ 1 x)) (* 81/32 (/ 1 (pow x 4)))) (+ 1/2 (/ 27/16 (pow x 3)))) x)
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 81/32 binary64) x) #s(literal -27/16 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) x))) x)
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x) #s(literal -1 binary64) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(*.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x) #s(literal -1 binary64) #s(literal -2 binary64)) x)
(* -1 (* (pow x 3) (+ 2 (+ (* 3 (/ 1 x)) (/ 9 (pow x 2))))))
(fma.f64 (+.f64 (/.f64 #s(literal -3 binary64) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -9 binary64) x))
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (- (* -1 (/ (+ 9 (* 27/2 (/ 1 x))) x)) 3) x)))))
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -27/2 binary64) x) #s(literal -9 binary64)) x) #s(literal 3 binary64)) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 27/4 (* -1 (/ (- 81/8 (* 729/32 (/ 1 (pow x 2)))) x))) (pow x 2))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 729/32 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 27/4 binary64)) (/.f64 #s(literal 81/8 binary64) x)) (*.f64 x x))
(/ (+ 27/4 (* -1 (/ (- (+ 81/8 (/ 2187/64 (pow x 3))) (* 729/32 (/ 1 (pow x 2)))) x))) (pow x 2))
(/.f64 (-.f64 (-.f64 #s(literal 27/4 binary64) (/.f64 #s(literal 81/8 binary64) x)) (/.f64 (+.f64 (/.f64 #s(literal 2187/64 binary64) x) #s(literal -729/32 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))
(* -1 (/ (- 1/2 (* 3/4 (/ 1 x))) x))
(/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) x) #s(literal -1/2 binary64)) x)
(* -1 (/ (+ 1/2 (* -1 (/ (- 3/4 (* 27/16 (/ 1 (pow x 2)))) x))) x))
(/.f64 (-.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal -3/4 binary64) x) (/.f64 #s(literal 27/16 binary64) (pow.f64 x #s(literal 3 binary64))))) x)
(* -1 (/ (+ 1/2 (* -1 (/ (- (+ 3/4 (/ 81/32 (pow x 3))) (* 27/16 (/ 1 (pow x 2)))) x))) x))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -27/16 binary64) (/.f64 #s(literal 81/32 binary64) x)) (*.f64 x x)) #s(literal 3/4 binary64)) x) #s(literal -1/2 binary64)) x)

rewrite248.0ms (4.5%)

Memory
-14.1MiB live, 322.7MiB allocated; 55ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046234
070234
1259220
21836220
08701216
Stop Event
iter limit
node limit
iter limit
Counts
21 → 345
Calls
Call 1
Inputs
(fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x))
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x)) x)
(*.f64 (*.f64 #s(literal -2 binary64) x) x)
(*.f64 #s(literal -2 binary64) x)
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
(*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x)
#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
(/.f64 (*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))
(*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) x)
(*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x)
#s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64))
(fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) #s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) #s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x)))))
(*.f64 x x)
(*.f64 #s(literal 4 binary64) (*.f64 x x))
#s(approx (* (* x x) (- (- 3 x) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(pow.f64 x #s(literal 3 binary64))
#s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x)))
(/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))
(/.f64 #s(literal 27/4 binary64) (*.f64 x x))
Outputs
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) (/.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(*.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) (*.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) (*.f64 (*.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) (pow.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) #s(literal 9 binary64) (fma.f64 (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) x)) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) x))))))
(/.f64 (-.f64 (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 #s(literal -3 binary64) x) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) x) (*.f64 #s(literal -3 binary64) x) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) (*.f64 #s(literal -3 binary64) x)))))
(/.f64 (-.f64 (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 (*.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) (*.f64 (neg.f64 x) #s(literal 3 binary64))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) (fma.f64 (*.f64 x x) #s(literal 9 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (*.f64 x x) #s(literal 9 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) (fma.f64 (*.f64 x x) #s(literal 9 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) (fma.f64 (*.f64 x x) #s(literal 9 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))))) (-.f64 (*.f64 (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (*.f64 x x) #s(literal 9 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))))) (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (*.f64 x x) #s(literal 9 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))))))) (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) (fma.f64 (*.f64 x x) #s(literal 9 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))))) (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (*.f64 x x) #s(literal 9 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))))))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 (*.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) x) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) #s(literal 9 binary64) (-.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) x) (*.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) x)) (*.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) x)))))
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (+.f64 (-.f64 #s(literal 3 binary64) x) x)))
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 x (+.f64 (-.f64 #s(literal 3 binary64) x) x) (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal 9 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) (*.f64 #s(literal 3 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))))) (neg.f64 (neg.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 (*.f64 x x) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) (*.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)))) (*.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))))
(/.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) (fma.f64 (*.f64 x x) #s(literal 9 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))))) (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))))) (fma.f64 (*.f64 x x) #s(literal 9 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))))))
(/.f64 (*.f64 x (-.f64 (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (*.f64 x x))) (+.f64 (-.f64 #s(literal 3 binary64) x) x))
(/.f64 (*.f64 x (-.f64 (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 (-.f64 #s(literal 3 binary64) x) x) (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal 9 binary64))) (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) (*.f64 #s(literal 3 binary64) x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 x x) #s(literal 9 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 (*.f64 x x) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)))) (neg.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))) (*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))
(/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))))))
(/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) (fma.f64 (*.f64 x x) #s(literal 9 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))))))
(fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) x) (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) x) x)) (*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))))
(fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) x) x) (/.f64 #s(literal 3 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) x) x)) (*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))))
(fma.f64 (/.f64 (neg.f64 (*.f64 #s(literal 3 binary64) x)) x) (/.f64 (neg.f64 (*.f64 #s(literal 3 binary64) x)) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) x) x)) (*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))))
(fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) x) x) (/.f64 (*.f64 #s(literal 3 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) x) x)) (*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))))
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(fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) x))
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(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (-.f64 x x) (-.f64 x x)))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 x x) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 x x) (*.f64 x x))) (*.f64 (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))) (-.f64 x x)))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)))
(fabs.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64))))
(fabs.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64)))
#s(approx (* (* x x) (- (- 3 x) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -2 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(*.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) x))
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) x)
(*.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 x x))
(*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 x (*.f64 (*.f64 #s(literal -2 binary64) x) x))
(*.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))))
(*.f64 (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) x))
(*.f64 (neg.f64 x) (*.f64 x x))
(*.f64 (*.f64 x x) x)
(*.f64 x (*.f64 x x))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 x))
(pow.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (-.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))) (*.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))))))
(fabs.f64 (pow.f64 x #s(literal 3 binary64)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 3/2 binary64) (*.f64 (log.f64 x) #s(literal 3/2 binary64))))
(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 2 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))))
#s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x)))
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 2 binary64)) #s(literal 81 binary64))) (-.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 9 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 3 binary64)) #s(literal 729 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 2 binary64)) #s(literal 81 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 9 binary64))))
(*.f64 (/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))))
(*.f64 x (/.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 3 binary64)) #s(literal 729 binary64))) (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 2 binary64)) #s(literal 81 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 2 binary64)) (+.f64 #s(literal 81 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 9 binary64))))))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 2 binary64)) #s(literal 81 binary64))) (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 2 binary64)) #s(literal 81 binary64)) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 9 binary64))) #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 3 binary64)) #s(literal 729 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 2 binary64)) (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 9 binary64))))))
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 9 binary64))) #s(literal 3 binary64)))) (*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 3 binary64)) #s(literal 729 binary64)) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 4 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 9 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 2 binary64)) (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 9 binary64))))))))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))))))
(/.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) (neg.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))))
(/.f64 (*.f64 #s(literal 2 binary64) x) (neg.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))))
(/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))
(neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))))
(neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) x) (neg.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))))
(+.f64 (/.f64 x (neg.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))) (/.f64 x (neg.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))))
(/.f64 (neg.f64 (/.f64 #s(literal 27/4 binary64) (neg.f64 x))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 27/4 binary64) x))) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 #s(literal 27/4 binary64) (neg.f64 x)) (neg.f64 x))
(/.f64 (/.f64 #s(literal 27/4 binary64) x) x)
(/.f64 (neg.f64 (/.f64 #s(literal 27/4 binary64) x)) (neg.f64 x))
(/.f64 #s(literal -27/4 binary64) (*.f64 (neg.f64 x) x))
(/.f64 #s(literal 27/4 binary64) (*.f64 x x))
(neg.f64 (/.f64 #s(literal -27/4 binary64) (*.f64 x x)))

eval61.0ms (1.1%)

Memory
31.2MiB live, 118.7MiB allocated; 16ms collecting garbage
Compiler

Compiled 18 047 to 1 545 computations (91.4% saved)

prune63.0ms (1.1%)

Memory
-36.4MiB live, 38.9MiB allocated; 19ms collecting garbage
Pruning

13 alts after pruning (5 fresh and 8 done)

PrunedKeptTotal
New4263429
Fresh224
Picked055
Done033
Total42813441
Accuracy
100.0%
Counts
441 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.9%
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) x))
78.8%
(/.f64 (*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))
99.8%
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x)) x)
99.8%
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
99.7%
(*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) (/.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) x)
69.5%
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
22.9%
(*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 4 binary64) x)) x #s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x)))))
22.9%
(*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) #s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x)))))
53.8%
(*.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)))
99.8%
(*.f64 (*.f64 x x) (-.f64 (-.f64 #s(literal 3 binary64) x) x))
74.7%
(*.f64 (*.f64 x x) (-.f64 #s(approx (- 3 x) (neg.f64 x)) x))
69.5%
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
74.7%
#s(approx (* (* x x) (- (- 3 x) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))
Compiler

Compiled 312 to 209 computations (33% saved)

simplify231.0ms (4.1%)

Memory
38.3MiB live, 307.4MiB allocated; 58ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 3 binary64) x)
cost-diff0
(*.f64 (*.f64 #s(literal 3 binary64) x) x)
cost-diff0
(pow.f64 x #s(literal 3 binary64))
cost-diff2
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) x))
cost-diff0
(fma.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 4 binary64) x)) x #s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x))))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 4 binary64) x)) x #s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x)))))
cost-diff2
(*.f64 (*.f64 (/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 4 binary64) x))
cost-diff0
(sqrt.f64 (*.f64 #s(literal -2 binary64) x))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)))
cost-diff6
(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64))
cost-diff0
#s(approx (- 3 x) (neg.f64 x))
cost-diff0
(-.f64 #s(approx (- 3 x) (neg.f64 x)) x)
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) (-.f64 #s(approx (- 3 x) (neg.f64 x)) x))
cost-diff0
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) (/.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))
cost-diff0
(*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) (/.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) x)
cost-diff4
(/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
cost-diff10
(/.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
046327
080310
1172274
2577262
32439262
09821262
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) (/.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) x)
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) (/.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
#s(literal -2 binary64)
x
#s(literal 3 binary64)
(/.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
(*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
(fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))
#s(literal 2 binary64)
(*.f64 (*.f64 x x) (-.f64 #s(approx (- 3 x) (neg.f64 x)) x))
(*.f64 x x)
x
(-.f64 #s(approx (- 3 x) (neg.f64 x)) x)
#s(approx (- 3 x) (neg.f64 x))
(neg.f64 x)
(*.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)))
(*.f64 x x)
x
(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64))
(sqrt.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
#s(literal 3 binary64)
(*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 4 binary64) x)) x #s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x)))))
(*.f64 x x)
x
(fma.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 4 binary64) x)) x #s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x))))
(*.f64 (*.f64 (/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 4 binary64) x))
(*.f64 (/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) #s(literal -2 binary64))
(/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))
(fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))
(fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 9 binary64)
#s(literal -2 binary64)
(*.f64 #s(literal 4 binary64) x)
#s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x)))
(/.f64 #s(literal 27/4 binary64) (*.f64 x x))
#s(literal 27/4 binary64)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) x))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal -2 binary64)
(*.f64 (*.f64 #s(literal 3 binary64) x) x)
(*.f64 #s(literal 3 binary64) x)
Outputs
(*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) (/.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) x)
(*.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x) x)
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) (/.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x)
(/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x)
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
#s(literal -2 binary64)
x
#s(literal 3 binary64)
(/.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
x
(*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) x)
(fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))
#s(literal 2 binary64)
(*.f64 (*.f64 x x) (-.f64 #s(approx (- 3 x) (neg.f64 x)) x))
(*.f64 (-.f64 #s(approx (- 3 x) (neg.f64 x)) x) (*.f64 x x))
(*.f64 x x)
x
(-.f64 #s(approx (- 3 x) (neg.f64 x)) x)
#s(approx (- 3 x) (neg.f64 x))
(neg.f64 x)
(*.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)))
(*.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x) x)
(*.f64 x x)
x
(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(sqrt.f64 (*.f64 #s(literal -2 binary64) x))
(sqrt.f64 (*.f64 x #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) x)
(*.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
#s(literal 3 binary64)
(*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 4 binary64) x)) x #s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x)))))
(*.f64 (fma.f64 (*.f64 #s(literal -8 binary64) (*.f64 x x)) (/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) #s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x)))) (*.f64 x x))
(*.f64 x x)
x
(fma.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 4 binary64) x)) x #s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x))))
(fma.f64 (*.f64 #s(literal -8 binary64) (*.f64 x x)) (/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) #s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x))))
(*.f64 (*.f64 (/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 4 binary64) x))
(*.f64 #s(literal -8 binary64) (*.f64 (/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) x))
(*.f64 (/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) #s(literal -2 binary64))
(/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))
(fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))
(fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 9 binary64)
#s(literal -2 binary64)
(*.f64 #s(literal 4 binary64) x)
#s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x)))
(/.f64 #s(literal 27/4 binary64) (*.f64 x x))
#s(literal 27/4 binary64)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) x))
(*.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal -2 binary64)
(*.f64 (*.f64 #s(literal 3 binary64) x) x)
(*.f64 #s(literal 3 binary64) x)

localize159.0ms (2.9%)

Memory
-10.9MiB live, 284.2MiB allocated; 34ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(pow.f64 x #s(literal 3 binary64))
accuracy0.0
(*.f64 #s(literal 3 binary64) x)
accuracy0.0078125
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) x))
accuracy0.07421875
(*.f64 (*.f64 #s(literal 3 binary64) x) x)
accuracy0.08203125
(*.f64 (*.f64 (/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 4 binary64) x))
accuracy0.15987756068016815
(/.f64 #s(literal 27/4 binary64) (*.f64 x x))
accuracy8.869314810546534
(/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))
accuracy17.63081728686381
#s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x)))
accuracy0.0
(*.f64 #s(literal -2 binary64) x)
accuracy0.0
(sqrt.f64 (*.f64 #s(literal -2 binary64) x))
accuracy0.06640625
(*.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)))
accuracy0.11328125
(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64))
accuracy0.0
(neg.f64 x)
accuracy0.0078125
(-.f64 #s(approx (- 3 x) (neg.f64 x)) x)
accuracy0.06640625
(*.f64 (*.f64 x x) (-.f64 #s(approx (- 3 x) (neg.f64 x)) x))
accuracy17.452971903211953
#s(approx (- 3 x) (neg.f64 x))
accuracy0.0390625
(*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) (/.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) x)
accuracy0.07421875
(*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
accuracy8.904090657646249
(/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
accuracy8.905718817334499
(/.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
Samples
72.0ms118×0invalid
34.0ms111×0valid
10.0ms13×2valid
8.0ms14×1valid
Compiler

Compiled 336 to 49 computations (85.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 72.0ms
ival-mult: 30.0ms (41.5% of total)
ival-add: 10.0ms (13.8% of total)
ival-div: 8.0ms (11.1% of total)
ival-pow: 8.0ms (11.1% of total)
ival-sub: 6.0ms (8.3% of total)
adjust: 5.0ms (6.9% of total)
ival-sqrt: 2.0ms (2.8% of total)
exact: 1.0ms (1.4% of total)
ival-neg: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series21.0ms (0.4%)

Memory
-10.5MiB live, 80.9MiB allocated; 8ms collecting garbage
Counts
24 → 65
Calls
Call 1
Inputs
(/.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) (/.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) x)
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) (/.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))
(*.f64 (*.f64 x x) (-.f64 #s(approx (- 3 x) (neg.f64 x)) x))
(*.f64 x x)
(-.f64 #s(approx (- 3 x) (neg.f64 x)) x)
#s(approx (- 3 x) (neg.f64 x))
(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64))
(*.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)))
(sqrt.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 (*.f64 (/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 4 binary64) x))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 4 binary64) x)) x #s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x)))))
(fma.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 4 binary64) x)) x #s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) x))
(pow.f64 x #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) x) x)
(*.f64 #s(literal 3 binary64) x)
(*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
(neg.f64 x)
(*.f64 #s(literal -2 binary64) x)
#s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x)))
(/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))
(/.f64 #s(literal 27/4 binary64) (*.f64 x x))
Outputs
x
3
(+ 3 (* -2 x))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* 3 x)
(* x (+ 3 (* -2 x)))
(pow x 2)
(+ 3 (* -1 x))
(+ 3 (* x (pow (sqrt -2) 2)))
(* (pow x 2) (+ 3 (* x (pow (sqrt -2) 2))))
(* (sqrt x) (sqrt -2))
(* -8/9 (pow x 2))
(* (pow x 2) (- (* 16/27 x) 8/9))
(* (pow x 2) (- (* x (+ 16/27 (* -64/243 (pow x 2)))) 8/9))
(* (pow x 2) (- (* x (+ 16/27 (* (pow x 2) (- (* 128/729 x) 64/243)))) 8/9))
(pow x 3)
(* x (+ 3 (* 2 x)))
(* -1 x)
(* -2 x)
(+ 3 (* x (- (* 8/9 (pow x 2)) 2)))
(+ 3 (* x (- (* (pow x 2) (+ 8/9 (* -16/27 x))) 2)))
(* 1/9 x)
(* x (+ 1/9 (* -2/27 x)))
(* x (+ 1/9 (* x (- (* 8/243 (pow x 2)) 2/27))))
(* x (+ 1/9 (* x (- (* (pow x 2) (+ 8/243 (* -16/729 x))) 2/27))))
(/ 27/4 (pow x 2))
(* x (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* x (- (* 3 (/ 1 x)) 1))
(* x (pow (sqrt -2) 2))
(* x (+ (* 3 (/ 1 x)) (pow (sqrt -2) 2)))
(* (pow x 3) (pow (sqrt -2) 2))
(* (pow x 3) (+ (* 3 (/ 1 x)) (pow (sqrt -2) 2)))
-2
(- (* 3 (/ 1 x)) 2)
(- (* 3 (/ 1 x)) (+ 2 (/ 27/4 (pow x 3))))
(- (+ (* 3 (/ 1 x)) (* 81/8 (/ 1 (pow x 4)))) (+ 2 (/ 27/4 (pow x 3))))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 3 (/ 1 x))))
(/ (- 27/4 (* 81/8 (/ 1 x))) (pow x 2))
(/ (- (+ 27/4 (/ 729/32 (pow x 3))) (* 81/8 (/ 1 x))) (pow x 2))
(/ (- (+ 27/4 (/ 729/32 (pow x 3))) (+ (* 81/8 (/ 1 x)) (* 2187/64 (/ 1 (pow x 4))))) (pow x 2))
(/ 1/4 x)
(/ (- 1/4 (* 3/8 (/ 1 x))) x)
(/ (- (+ 1/4 (/ 27/32 (pow x 3))) (* 3/8 (/ 1 x))) x)
(/ (- (+ 1/4 (/ 27/32 (pow x 3))) (+ (* 3/8 (/ 1 x)) (* 81/64 (/ 1 (pow x 4))))) x)
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 1 (* 3 (/ 1 x)))))
(* -1 (* x (pow (sqrt 2) 2)))
(* -1 (* x (- (pow (sqrt 2) 2) (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (pow (sqrt 2) 2)))
(* -1 (* (pow x 3) (- (pow (sqrt 2) 2) (* 3 (/ 1 x)))))
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 2))))
(- (* -1 (/ (- (* 27/4 (/ 1 (pow x 2))) 3) x)) 2)
(- (* -1 (/ (- (* 27/4 (/ 1 (pow x 2))) (+ 3 (/ 81/8 (pow x 3)))) x)) 2)
(/ (+ 27/4 (* -1 (/ (- 81/8 (* 729/32 (/ 1 (pow x 2)))) x))) (pow x 2))
(/ (+ 27/4 (* -1 (/ (- (+ 81/8 (/ 2187/64 (pow x 3))) (* 729/32 (/ 1 (pow x 2)))) x))) (pow x 2))
(* -1 (/ (- (* 3/8 (/ 1 x)) 1/4) x))
(* -1 (/ (- (* -1 (/ (- (* 27/32 (/ 1 (pow x 2))) 3/8) x)) 1/4) x))
(* -1 (/ (- (* -1 (/ (- (* 27/32 (/ 1 (pow x 2))) (+ 3/8 (/ 81/64 (pow x 3)))) x)) 1/4) x))
Calls

3 calls:

TimeVariablePointExpression
8.0ms
x
@0
((/ (* x (+ (* 2 x) 3)) (+ (* 2 x) 3)) (/ (* (+ (* -2 x) 3) x) x) (* (* (/ (* (+ (* -2 x) 3) x) x) (/ (* x (+ (* 2 x) 3)) (+ (* 2 x) 3))) x) (* (/ (* (+ (* -2 x) 3) x) x) (/ (* x (+ (* 2 x) 3)) (+ (* 2 x) 3))) (* (* x x) (- (- 3 x) x)) (* x x) (- (- 3 x) x) (- 3 x) (+ (* (sqrt (* -2 x)) (sqrt (* -2 x))) 3) (* (* x x) (+ (* (sqrt (* -2 x)) (sqrt (* -2 x))) 3)) (sqrt (* -2 x)) (* (* (/ x (+ (* (+ (* 4 x) 6) x) 9)) -2) (* 4 x)) (* (* x x) (+ (* (* (* (/ x (+ (* (+ (* 4 x) 6) x) 9)) -2) (* 4 x)) x) (/ 27 (+ (* x (+ (* 4 x) 6)) 9)))) (+ (* (* (* (/ x (+ (* (+ (* 4 x) 6) x) 9)) -2) (* 4 x)) x) (/ 27 (+ (* x (+ (* 4 x) 6)) 9))) (+ (* (pow x 3) -2) (* (* 3 x) x)) (pow x 3) (* (* 3 x) x) (* 3 x) (* x (+ (* 2 x) 3)) (neg x) (* -2 x) (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/ x (+ (* (+ (* 4 x) 6) x) 9)) (/ 27/4 (* x x)))
7.0ms
x
@-inf
((/ (* x (+ (* 2 x) 3)) (+ (* 2 x) 3)) (/ (* (+ (* -2 x) 3) x) x) (* (* (/ (* (+ (* -2 x) 3) x) x) (/ (* x (+ (* 2 x) 3)) (+ (* 2 x) 3))) x) (* (/ (* (+ (* -2 x) 3) x) x) (/ (* x (+ (* 2 x) 3)) (+ (* 2 x) 3))) (* (* x x) (- (- 3 x) x)) (* x x) (- (- 3 x) x) (- 3 x) (+ (* (sqrt (* -2 x)) (sqrt (* -2 x))) 3) (* (* x x) (+ (* (sqrt (* -2 x)) (sqrt (* -2 x))) 3)) (sqrt (* -2 x)) (* (* (/ x (+ (* (+ (* 4 x) 6) x) 9)) -2) (* 4 x)) (* (* x x) (+ (* (* (* (/ x (+ (* (+ (* 4 x) 6) x) 9)) -2) (* 4 x)) x) (/ 27 (+ (* x (+ (* 4 x) 6)) 9)))) (+ (* (* (* (/ x (+ (* (+ (* 4 x) 6) x) 9)) -2) (* 4 x)) x) (/ 27 (+ (* x (+ (* 4 x) 6)) 9))) (+ (* (pow x 3) -2) (* (* 3 x) x)) (pow x 3) (* (* 3 x) x) (* 3 x) (* x (+ (* 2 x) 3)) (neg x) (* -2 x) (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/ x (+ (* (+ (* 4 x) 6) x) 9)) (/ 27/4 (* x x)))
4.0ms
x
@inf
((/ (* x (+ (* 2 x) 3)) (+ (* 2 x) 3)) (/ (* (+ (* -2 x) 3) x) x) (* (* (/ (* (+ (* -2 x) 3) x) x) (/ (* x (+ (* 2 x) 3)) (+ (* 2 x) 3))) x) (* (/ (* (+ (* -2 x) 3) x) x) (/ (* x (+ (* 2 x) 3)) (+ (* 2 x) 3))) (* (* x x) (- (- 3 x) x)) (* x x) (- (- 3 x) x) (- 3 x) (+ (* (sqrt (* -2 x)) (sqrt (* -2 x))) 3) (* (* x x) (+ (* (sqrt (* -2 x)) (sqrt (* -2 x))) 3)) (sqrt (* -2 x)) (* (* (/ x (+ (* (+ (* 4 x) 6) x) 9)) -2) (* 4 x)) (* (* x x) (+ (* (* (* (/ x (+ (* (+ (* 4 x) 6) x) 9)) -2) (* 4 x)) x) (/ 27 (+ (* x (+ (* 4 x) 6)) 9)))) (+ (* (* (* (/ x (+ (* (+ (* 4 x) 6) x) 9)) -2) (* 4 x)) x) (/ 27 (+ (* x (+ (* 4 x) 6)) 9))) (+ (* (pow x 3) -2) (* (* 3 x) x)) (pow x 3) (* (* 3 x) x) (* 3 x) (* x (+ (* 2 x) 3)) (neg x) (* -2 x) (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/ x (+ (* (+ (* 4 x) 6) x) 9)) (/ 27/4 (* x x)))

simplify196.0ms (3.5%)

Memory
-5.3MiB live, 246.8MiB allocated; 50ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0204542
1583538
21490538
34947534
08412509
Stop Event
iter limit
node limit
Counts
65 → 64
Calls
Call 1
Inputs
x
3
(+ 3 (* -2 x))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* 3 x)
(* x (+ 3 (* -2 x)))
(pow x 2)
(+ 3 (* -1 x))
(+ 3 (* x (pow (sqrt -2) 2)))
(* (pow x 2) (+ 3 (* x (pow (sqrt -2) 2))))
(* (sqrt x) (sqrt -2))
(* -8/9 (pow x 2))
(* (pow x 2) (- (* 16/27 x) 8/9))
(* (pow x 2) (- (* x (+ 16/27 (* -64/243 (pow x 2)))) 8/9))
(* (pow x 2) (- (* x (+ 16/27 (* (pow x 2) (- (* 128/729 x) 64/243)))) 8/9))
(pow x 3)
(* x (+ 3 (* 2 x)))
(* -1 x)
(* -2 x)
(+ 3 (* x (- (* 8/9 (pow x 2)) 2)))
(+ 3 (* x (- (* (pow x 2) (+ 8/9 (* -16/27 x))) 2)))
(* 1/9 x)
(* x (+ 1/9 (* -2/27 x)))
(* x (+ 1/9 (* x (- (* 8/243 (pow x 2)) 2/27))))
(* x (+ 1/9 (* x (- (* (pow x 2) (+ 8/243 (* -16/729 x))) 2/27))))
(/ 27/4 (pow x 2))
(* x (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* x (- (* 3 (/ 1 x)) 1))
(* x (pow (sqrt -2) 2))
(* x (+ (* 3 (/ 1 x)) (pow (sqrt -2) 2)))
(* (pow x 3) (pow (sqrt -2) 2))
(* (pow x 3) (+ (* 3 (/ 1 x)) (pow (sqrt -2) 2)))
-2
(- (* 3 (/ 1 x)) 2)
(- (* 3 (/ 1 x)) (+ 2 (/ 27/4 (pow x 3))))
(- (+ (* 3 (/ 1 x)) (* 81/8 (/ 1 (pow x 4)))) (+ 2 (/ 27/4 (pow x 3))))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 3 (/ 1 x))))
(/ (- 27/4 (* 81/8 (/ 1 x))) (pow x 2))
(/ (- (+ 27/4 (/ 729/32 (pow x 3))) (* 81/8 (/ 1 x))) (pow x 2))
(/ (- (+ 27/4 (/ 729/32 (pow x 3))) (+ (* 81/8 (/ 1 x)) (* 2187/64 (/ 1 (pow x 4))))) (pow x 2))
(/ 1/4 x)
(/ (- 1/4 (* 3/8 (/ 1 x))) x)
(/ (- (+ 1/4 (/ 27/32 (pow x 3))) (* 3/8 (/ 1 x))) x)
(/ (- (+ 1/4 (/ 27/32 (pow x 3))) (+ (* 3/8 (/ 1 x)) (* 81/64 (/ 1 (pow x 4))))) x)
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 1 (* 3 (/ 1 x)))))
(* -1 (* x (pow (sqrt 2) 2)))
(* -1 (* x (- (pow (sqrt 2) 2) (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (pow (sqrt 2) 2)))
(* -1 (* (pow x 3) (- (pow (sqrt 2) 2) (* 3 (/ 1 x)))))
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 2))))
(- (* -1 (/ (- (* 27/4 (/ 1 (pow x 2))) 3) x)) 2)
(- (* -1 (/ (- (* 27/4 (/ 1 (pow x 2))) (+ 3 (/ 81/8 (pow x 3)))) x)) 2)
(/ (+ 27/4 (* -1 (/ (- 81/8 (* 729/32 (/ 1 (pow x 2)))) x))) (pow x 2))
(/ (+ 27/4 (* -1 (/ (- (+ 81/8 (/ 2187/64 (pow x 3))) (* 729/32 (/ 1 (pow x 2)))) x))) (pow x 2))
(* -1 (/ (- (* 3/8 (/ 1 x)) 1/4) x))
(* -1 (/ (- (* -1 (/ (- (* 27/32 (/ 1 (pow x 2))) 3/8) x)) 1/4) x))
(* -1 (/ (- (* -1 (/ (- (* 27/32 (/ 1 (pow x 2))) (+ 3/8 (/ 81/64 (pow x 3)))) x)) 1/4) x))
Outputs
x
3
#s(literal 3 binary64)
(+ 3 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* 3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3 binary64))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (* -2 x)))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(pow x 2)
(*.f64 x x)
(+ 3 (* -1 x))
(-.f64 #s(literal 3 binary64) x)
(+ 3 (* x (pow (sqrt -2) 2)))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* (pow x 2) (+ 3 (* x (pow (sqrt -2) 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* (sqrt x) (sqrt -2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -2 binary64)))
(* -8/9 (pow x 2))
(*.f64 (*.f64 #s(literal -8/9 binary64) x) x)
(* (pow x 2) (- (* 16/27 x) 8/9))
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 16/27 binary64) x) #s(literal 8/9 binary64)) x) x)
(* (pow x 2) (- (* x (+ 16/27 (* -64/243 (pow x 2)))) 8/9))
(*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -64/243 binary64) (*.f64 x x) #s(literal 16/27 binary64)) x) #s(literal 8/9 binary64)) x) x)
(* (pow x 2) (- (* x (+ 16/27 (* (pow x 2) (- (* 128/729 x) 64/243)))) 8/9))
(*.f64 (*.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 128/729 binary64) x) #s(literal 64/243 binary64)) (*.f64 x x) #s(literal 16/27 binary64)) x) #s(literal 8/9 binary64)) x) x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* x (+ 3 (* 2 x)))
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) x)
(* -1 x)
(neg.f64 x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(+ 3 (* x (- (* 8/9 (pow x 2)) 2)))
(fma.f64 (-.f64 (*.f64 #s(literal 8/9 binary64) (*.f64 x x)) #s(literal 2 binary64)) x #s(literal 3 binary64))
(+ 3 (* x (- (* (pow x 2) (+ 8/9 (* -16/27 x))) 2)))
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -16/27 binary64) x #s(literal 8/9 binary64)) x) x) #s(literal 2 binary64)) x #s(literal 3 binary64))
(* 1/9 x)
(*.f64 #s(literal 1/9 binary64) x)
(* x (+ 1/9 (* -2/27 x)))
(*.f64 (fma.f64 #s(literal -2/27 binary64) x #s(literal 1/9 binary64)) x)
(* x (+ 1/9 (* x (- (* 8/243 (pow x 2)) 2/27))))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 8/243 binary64) (*.f64 x x)) #s(literal 2/27 binary64)) x #s(literal 1/9 binary64)) x)
(* x (+ 1/9 (* x (- (* (pow x 2) (+ 8/243 (* -16/729 x))) 2/27))))
(*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -16/729 binary64) x #s(literal 8/243 binary64)) x) x) #s(literal 2/27 binary64)) x #s(literal 1/9 binary64)) x)
(/ 27/4 (pow x 2))
(/.f64 #s(literal 27/4 binary64) (*.f64 x x))
(* x (- (* 3 (/ 1 x)) 2))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* -2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(* x (- (* 3 (/ 1 x)) 1))
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) x)
(* x (pow (sqrt -2) 2))
(*.f64 #s(literal -2 binary64) x)
(* x (+ (* 3 (/ 1 x)) (pow (sqrt -2) 2)))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* (pow x 3) (pow (sqrt -2) 2))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(* (pow x 3) (+ (* 3 (/ 1 x)) (pow (sqrt -2) 2)))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
-2
#s(literal -2 binary64)
(- (* 3 (/ 1 x)) 2)
(-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))
(- (* 3 (/ 1 x)) (+ 2 (/ 27/4 (pow x 3))))
(-.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (/.f64 #s(literal 27/4 binary64) (pow.f64 x #s(literal 3 binary64))))
(- (+ (* 3 (/ 1 x)) (* 81/8 (/ 1 (pow x 4)))) (+ 2 (/ 27/4 (pow x 3))))
(-.f64 (-.f64 (/.f64 #s(literal 81/8 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 27/4 binary64) (*.f64 x x)) #s(literal 3 binary64)) x))
(* 2 (pow x 2))
(*.f64 (*.f64 #s(literal 2 binary64) x) x)
(* (pow x 2) (+ 2 (* 3 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) x)
(/ (- 27/4 (* 81/8 (/ 1 x))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 27/4 binary64) (/.f64 #s(literal 81/8 binary64) x)) x) x)
(/ (- (+ 27/4 (/ 729/32 (pow x 3))) (* 81/8 (/ 1 x))) (pow x 2))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 729/32 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 27/4 binary64)) (/.f64 #s(literal 81/8 binary64) x)) (*.f64 x x))
(/ (- (+ 27/4 (/ 729/32 (pow x 3))) (+ (* 81/8 (/ 1 x)) (* 2187/64 (/ 1 (pow x 4))))) (pow x 2))
(/.f64 (-.f64 (-.f64 #s(literal 27/4 binary64) (/.f64 #s(literal 81/8 binary64) x)) (/.f64 (+.f64 (/.f64 #s(literal 2187/64 binary64) x) #s(literal -729/32 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))
(/ 1/4 x)
(/.f64 #s(literal 1/4 binary64) x)
(/ (- 1/4 (* 3/8 (/ 1 x))) x)
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 3/8 binary64) x)) x)
(/ (- (+ 1/4 (/ 27/32 (pow x 3))) (* 3/8 (/ 1 x))) x)
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 27/32 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) (/.f64 #s(literal 3/8 binary64) x)) x)
(/ (- (+ 1/4 (/ 27/32 (pow x 3))) (+ (* 3/8 (/ 1 x)) (* 81/64 (/ 1 (pow x 4))))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 27/32 binary64) (*.f64 x x)) #s(literal 3/8 binary64)) x) (-.f64 (/.f64 #s(literal 81/64 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64))) x)
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -1 (* x (- 1 (* 3 (/ 1 x)))))
(-.f64 #s(literal 3 binary64) x)
(* -1 (* x (pow (sqrt 2) 2)))
(*.f64 #s(literal -2 binary64) x)
(* -1 (* x (- (pow (sqrt 2) 2) (* 3 (/ 1 x)))))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* -1 (* (pow x 3) (pow (sqrt 2) 2)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(* -1 (* (pow x 3) (- (pow (sqrt 2) 2) (* 3 (/ 1 x)))))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 2))))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal -1 binary64)))
(- (* -1 (/ (- (* 27/4 (/ 1 (pow x 2))) 3) x)) 2)
(-.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (/.f64 #s(literal 27/4 binary64) (pow.f64 x #s(literal 3 binary64))))
(- (* -1 (/ (- (* 27/4 (/ 1 (pow x 2))) (+ 3 (/ 81/8 (pow x 3)))) x)) 2)
(-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 27/4 binary64) (/.f64 #s(literal 81/8 binary64) x)) x) x) #s(literal 3 binary64)) (neg.f64 x)) #s(literal 2 binary64))
(/ (+ 27/4 (* -1 (/ (- 81/8 (* 729/32 (/ 1 (pow x 2)))) x))) (pow x 2))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 729/32 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 27/4 binary64)) (/.f64 #s(literal 81/8 binary64) x)) (*.f64 x x))
(/ (+ 27/4 (* -1 (/ (- (+ 81/8 (/ 2187/64 (pow x 3))) (* 729/32 (/ 1 (pow x 2)))) x))) (pow x 2))
(/.f64 (-.f64 (-.f64 #s(literal 27/4 binary64) (/.f64 #s(literal 81/8 binary64) x)) (/.f64 (+.f64 (/.f64 #s(literal 2187/64 binary64) x) #s(literal -729/32 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))
(* -1 (/ (- (* 3/8 (/ 1 x)) 1/4) x))
(/.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) x) #s(literal 1/4 binary64)) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (* 27/32 (/ 1 (pow x 2))) 3/8) x)) 1/4) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 27/32 binary64) (*.f64 x x)) #s(literal 3/8 binary64)) (neg.f64 x)) #s(literal 1/4 binary64)) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (* 27/32 (/ 1 (pow x 2))) (+ 3/8 (/ 81/64 (pow x 3)))) x)) 1/4) x))
(/.f64 (-.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 27/32 binary64) (*.f64 x x)) #s(literal 3/8 binary64)) (/.f64 #s(literal 81/64 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 x)) #s(literal 1/4 binary64)) (neg.f64 x))

rewrite96.0ms (1.7%)

Memory
7.1MiB live, 146.2MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
046265
080248
1309210
02093210
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
24 → 495
Calls
Call 1
Inputs
(/.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) (/.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) x)
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) (/.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))
(*.f64 (*.f64 x x) (-.f64 #s(approx (- 3 x) (neg.f64 x)) x))
(*.f64 x x)
(-.f64 #s(approx (- 3 x) (neg.f64 x)) x)
#s(approx (- 3 x) (neg.f64 x))
(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64))
(*.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)))
(sqrt.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 (*.f64 (/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 4 binary64) x))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 4 binary64) x)) x #s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x)))))
(fma.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 4 binary64) x)) x #s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) x))
(pow.f64 x #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) x) x)
(*.f64 #s(literal 3 binary64) x)
(*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
(neg.f64 x)
(*.f64 #s(literal -2 binary64) x)
#s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x)))
(/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))
(/.f64 #s(literal 27/4 binary64) (*.f64 x x))
Outputs
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) x) (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) x) #s(literal 9 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) x) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 6 binary64) x))))
(*.f64 #s(literal 1 binary64) x)
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))
(*.f64 x #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))))
(/.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (neg.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
(neg.f64 (/.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))
(neg.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) x) (neg.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))))
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 3 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 x (/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) x) #s(literal 9 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64)))))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) (neg.f64 (neg.f64 x)))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) x) #s(literal 9 binary64)) x) (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) x))
(/.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) x) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64)))) x))
(/.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) (neg.f64 x))
(/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(neg.f64 (/.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) x))
(neg.f64 (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) (neg.f64 x)))
(*.f64 (*.f64 x (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) (*.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 (*.f64 #s(literal 1 binary64) x) x) (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))))
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) x) #s(literal 1 binary64)) x)
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 1 binary64) x) x))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1 binary64) x) x)))
(*.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) x))
(*.f64 x (*.f64 (*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) x) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) #s(literal 1 binary64)) x) x)
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) x))
(/.f64 (*.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 1 binary64) x) x)) (neg.f64 x))
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) (*.f64 (*.f64 #s(literal 1 binary64) x) x)) x)
(/.f64 (*.f64 x (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) #s(literal 1 binary64))) x)
(/.f64 (*.f64 x (*.f64 (*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
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eval94.0ms (1.7%)

Memory
12.6MiB live, 149.6MiB allocated; 31ms collecting garbage
Compiler

Compiled 13 896 to 1 565 computations (88.7% saved)

prune24.0ms (0.4%)

Memory
-24.2MiB live, 60.8MiB allocated; 13ms collecting garbage
Pruning

13 alts after pruning (4 fresh and 9 done)

PrunedKeptTotal
New5154519
Fresh000
Picked325
Done178
Total51913532
Accuracy
100.0%
Counts
532 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.3%
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
78.8%
(/.f64 (*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))
99.8%
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x)) x)
99.8%
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
99.8%
(*.f64 (*.f64 #s(approx (/ (* (+ (* -2 x) 3) x) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) (/.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) x)
69.5%
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
22.9%
(*.f64 (*.f64 x x) (fma.f64 (/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) (*.f64 (*.f64 #s(literal -8 binary64) x) x) #s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x)))))
22.9%
(*.f64 (*.f64 x x) (fma.f64 (*.f64 (/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) (*.f64 #s(literal -8 binary64) x)) x #s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x)))))
53.8%
(*.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)))
99.8%
(*.f64 (*.f64 x x) (-.f64 (-.f64 #s(literal 3 binary64) x) x))
74.7%
(*.f64 (*.f64 x x) (-.f64 #s(approx (- 3 x) (neg.f64 x)) x))
69.5%
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
74.7%
#s(approx (* (* x x) (- (- 3 x) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))
Compiler

Compiled 722 to 289 computations (60% saved)

regimes19.0ms (0.3%)

Memory
-0.1MiB live, 61.7MiB allocated; 10ms collecting garbage
Counts
26 → 1
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))
(*.f64 (*.f64 x x) (-.f64 #s(approx (- 3 x) (neg.f64 x)) x))
(*.f64 (*.f64 x x) (-.f64 (-.f64 #s(literal 3 binary64) x) x))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x)) x)
(/.f64 (*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) x)))
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))
(*.f64 (*.f64 #s(approx (/ (* (+ (* -2 x) 3) x) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) (/.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) x)
(*.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
(*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) (/.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) x)
(*.f64 (*.f64 x x) (fma.f64 (*.f64 (/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) (*.f64 #s(literal -8 binary64) x)) x #s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x)))))
(*.f64 (*.f64 x x) (fma.f64 (/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) (*.f64 (*.f64 #s(literal -8 binary64) x) x) #s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x)))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) #s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x)))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 4 binary64) x)) x #s(approx (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) (/.f64 #s(literal 27/4 binary64) (*.f64 x x)))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 4 binary64) x)) x (/.f64 #s(literal 27 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))))
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))
#s(approx (* (* x x) (- (- 3 x) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) x))
(-.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) x) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))
Outputs
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x)) x)
Calls

2 calls:

11.0ms
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
7.0ms
x
Results
AccuracySegmentsBranch
99.8%1(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
99.8%1x
Compiler

Compiled 10 to 8 computations (20% saved)

regimes5.0ms (0.1%)

Memory
21.4MiB live, 21.4MiB allocated; 0ms collecting garbage
Counts
7 → 1
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))
(*.f64 (*.f64 x x) (-.f64 #s(approx (- 3 x) (neg.f64 x)) x))
(*.f64 (*.f64 x x) (-.f64 (-.f64 #s(literal 3 binary64) x) x))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
Outputs
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
Calls

2 calls:

2.0ms
x
2.0ms
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
Results
AccuracySegmentsBranch
99.8%1(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
99.8%1x
Compiler

Compiled 10 to 8 computations (20% saved)

regimes7.0ms (0.1%)

Memory
-31.7MiB live, 15.1MiB allocated; 3ms collecting garbage
Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))
(*.f64 (*.f64 x x) (-.f64 #s(approx (- 3 x) (neg.f64 x)) x))
(*.f64 (*.f64 x x) (-.f64 (-.f64 #s(literal 3 binary64) x) x))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
Outputs
(*.f64 (*.f64 x x) (-.f64 (-.f64 #s(literal 3 binary64) x) x))
Calls

2 calls:

4.0ms
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
2.0ms
x
Results
AccuracySegmentsBranch
99.8%1(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
99.8%1x
Compiler

Compiled 10 to 8 computations (20% saved)

regimes4.0ms (0.1%)

Memory
12.3MiB live, 12.3MiB allocated; 0ms collecting garbage
Counts
4 → 3
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))
(*.f64 (*.f64 x x) (-.f64 #s(approx (- 3 x) (neg.f64 x)) x))
Outputs
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))
Calls

2 calls:

2.0ms
x
1.0ms
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
Results
AccuracySegmentsBranch
98.6%3(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
98.6%3x
Compiler

Compiled 10 to 8 computations (20% saved)

regimes3.0ms (0%)

Memory
11.3MiB live, 11.3MiB allocated; 0ms collecting garbage
Accuracy

Total -0.1b remaining (-0.3%)

Threshold costs -0.1b (-0.3%)

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

2 calls:

1.0ms
x
1.0ms
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
Results
AccuracySegmentsBranch
69.5%1(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
69.5%1x
Compiler

Compiled 10 to 8 computations (20% saved)

bsearch33.0ms (0.6%)

Memory
19.2MiB live, 65.5MiB allocated; 3ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
6.892902141111966e-24
162.24835259462802
15.0ms
-16.08042219332681
-2.993839301979434e-11
Samples
15.0ms336×0valid
Compiler

Compiled 516 to 452 computations (12.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 6.0ms (73.3% of total)
ival-sub: 1.0ms (12.2% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify74.0ms (1.3%)

Memory
-33.0MiB live, 77.5MiB allocated; 21ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02772
14372
26572
38772
410872
513272
628872
7191572
8358772
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x)) x)
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 x x) (-.f64 (-.f64 #s(literal 3 binary64) x) x))
(if (<=.f64 x #s(literal -3/2 binary64)) (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))) (if (<=.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))))
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
Outputs
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x)) x)
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 x x) (-.f64 (-.f64 #s(literal 3 binary64) x) x))
(if (<=.f64 x #s(literal -3/2 binary64)) (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))) (if (<=.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))))
(if (or (<=.f64 x #s(literal -3/2 binary64)) (not (<=.f64 x #s(literal 3/2 binary64)))) (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))) (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))))
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))

derivations420.0ms (7.5%)

Memory
3.5MiB live, 335.9MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02464
16364
217264
360564
4228264
5529864
0841459
0720
01120
13820
223020
3178320
0927818
031176
054178
1212150
21658150
08372148
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 72 to 30 computations (58.3% saved)

preprocess76.0ms (1.4%)

Memory
-22.1MiB live, 70.8MiB allocated; 12ms collecting garbage
Compiler

Compiled 180 to 88 computations (51.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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