Data.Spline.Key:interpolateKeys from smoothie-0.4.0.2

Time bar (total: 5.7s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB 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)

sample889.0ms (15.7%)

Memory
44.8MiB live, 1 071.6MiB allocated; 271ms collecting garbage
Samples
597.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 265.0ms
ival-mult: 202.0ms (76.3% of total)
ival-sub: 45.0ms (17% of total)
exact: 8.0ms (3% of total)
ival-true: 5.0ms (1.9% of total)
ival-assert: 3.0ms (1.1% of total)
adjust: 2.0ms (0.8% of total)
Bogosity

explain115.0ms (2%)

Memory
-14.5MiB live, 128.8MiB allocated; 31ms 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)
01(-1.0447393973526582e-162)0-(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
00-0-(*.f64 x x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
*.f64(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))n*u10
Confusion
Predicted +Predicted -
+00
-1255
Precision
0.0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-10255
Precision?
0.0
Recall?
0/0
Freqs
test
numberfreq
0255
11
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-100
Precision?
0.0
Recall?
0/0
Samples
47.0ms512×0valid
Compiler

Compiled 59 to 25 computations (57.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-mult: 30.0ms (87.7% of total)
ival-sub: 3.0ms (8.8% 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)

preprocess137.0ms (2.4%)

Memory
30.0MiB live, 113.7MiB allocated; 27ms 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
0.1MiB live, 0.1MiB 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
99.7%
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify122.0ms (2.2%)

Memory
-37.2MiB live, 78.8MiB allocated; 41ms 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)

localize30.0ms (0.5%)

Memory
7.9MiB live, 52.3MiB allocated; 11ms 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))
accuracy0.16796875
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
Samples
22.0ms256×0valid
Compiler

Compiled 25 to 9 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 5.0ms (72.9% of total)
ival-sub: 1.0ms (14.6% 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
10.7MiB live, 10.7MiB 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))

simplify199.0ms (3.5%)

Memory
-8.5MiB live, 369.9MiB allocated; 44ms 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)

rewrite255.0ms (4.5%)

Memory
14.0MiB live, 251.6MiB allocated; 24ms 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)

eval145.0ms (2.6%)

Memory
-22.3MiB live, 86.1MiB allocated; 25ms collecting garbage
Compiler

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

prune36.0ms (0.6%)

Memory
-14.9MiB live, 31.5MiB allocated; 3ms collecting garbage
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New29812310
Fresh000
Picked101
Done000
Total29912311
Accuracy
100.0%
Counts
311 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.1%
(fma.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) x) (*.f64 (*.f64 x x) #s(literal 3 binary64)))
93.1%
(/.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)))
75.1%
(*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (/.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))))) (/.f64 (*.f64 x x) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))))
99.8%
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
75.1%
(*.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)))))
50.2%
(*.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)))
99.7%
(*.f64 (*.f64 x x) (-.f64 (-.f64 #s(literal 3 binary64) x) x))
75.3%
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 (hypot.f64 x x) (sqrt.f64 #s(literal 2 binary64)))))
49.5%
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) x)) (sqrt.f64 x))))
72.0%
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))
64.6%
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
72.0%
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))
Compiler

Compiled 364 to 236 computations (35.2% saved)

simplify257.0ms (4.5%)

Memory
14.4MiB live, 160.3MiB allocated; 14ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
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
(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
(-.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)
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
(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)
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025154
043140
189138
2280138
3975138
41966138
53511138
65393138
76254138
87186138
08096138
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.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 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 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 (*.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 (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)
Outputs
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(*.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x) x)
(*.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 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 x x) (-.f64 (-.f64 #s(literal 3 binary64) x) x))
(*.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x) x)
(*.f64 x x)
x
(-.f64 (-.f64 #s(literal 3 binary64) x) x)
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(-.f64 #s(literal 3 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 (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 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))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
#s(literal -2 binary64)
#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)))
(*.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)

localize114.0ms (2%)

Memory
-8.7MiB live, 80.2MiB allocated; 12ms collecting garbage
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 #s(literal -2 binary64) x)
accuracy0.0
(sqrt.f64 (*.f64 #s(literal -2 binary64) x))
accuracy0.0859375
(*.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)))
accuracy0.1328125
(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64))
accuracy0.0
(*.f64 x x)
accuracy0.04296875
(*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x)
accuracy0.05859375
(*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x)
accuracy1.9004362009781608
(/.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
(-.f64 #s(literal 3 binary64) x)
accuracy0.0
(*.f64 x x)
accuracy0.00390625
(-.f64 (-.f64 #s(literal 3 binary64) x) x)
accuracy0.0859375
(*.f64 (*.f64 x x) (-.f64 (-.f64 #s(literal 3 binary64) x) x))
accuracy0.0
(*.f64 x x)
accuracy0.0859375
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
accuracy14.806969507774463
#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
accuracy0.0
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
accuracy0.03125
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
accuracy0.06640625
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
Samples
62.0ms127×0invalid
20.0ms118×0valid
3.0ms2valid
2.0ms1valid
Compiler

Compiled 163 to 28 computations (82.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 71.0ms
ival-mult: 58.0ms (82% of total)
ival-add: 4.0ms (5.7% of total)
ival-sub: 4.0ms (5.7% of total)
ival-div: 2.0ms (2.8% of total)
ival-sqrt: 2.0ms (2.8% of total)
adjust: 1.0ms (1.4% of total)
exact: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series11.0ms (0.2%)

Memory
14.0MiB live, 14.0MiB allocated; 0ms collecting garbage
Counts
17 → 51
Calls
Call 1
Inputs
(*.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 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
(*.f64 x x)
#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
(-.f64 (-.f64 #s(literal 3 binary64) x) x)
(*.f64 (*.f64 x x) (-.f64 (-.f64 #s(literal 3 binary64) x) x))
(-.f64 #s(literal 3 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 (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 (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 #s(literal -2 binary64) x)
Outputs
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* 3 x)
(* x (+ 3 (* -2 x)))
3
(+ 3 (* -2 x))
(pow x 2)
(+ 3 (* -1 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)))
(+ 3 (* x (pow (sqrt -2) 2)))
(* (pow x 2) (+ 3 (* x (pow (sqrt -2) 2))))
(* (sqrt x) (sqrt -2))
(* -2 x)
(* -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)) 2))
(* -1 x)
(* x (- (* 3 (/ 1 x)) 1))
(* -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)))))
(* 4 (pow x 2))
(* (pow x 2) (+ 4 (* 9 (/ 1 (pow x 2)))))
(* 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)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 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 (* 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))))
Calls

3 calls:

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

simplify312.0ms (5.5%)

Memory
-10.2MiB live, 173.8MiB allocated; 39ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0123367
1420360
21410353
35509352
08059324
Stop Event
iter limit
node limit
Counts
51 → 51
Calls
Call 1
Inputs
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* 3 x)
(* x (+ 3 (* -2 x)))
3
(+ 3 (* -2 x))
(pow x 2)
(+ 3 (* -1 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)))
(+ 3 (* x (pow (sqrt -2) 2)))
(* (pow x 2) (+ 3 (* x (pow (sqrt -2) 2))))
(* (sqrt x) (sqrt -2))
(* -2 x)
(* -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)) 2))
(* -1 x)
(* x (- (* 3 (/ 1 x)) 1))
(* -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)))))
(* 4 (pow x 2))
(* (pow x 2) (+ 4 (* 9 (/ 1 (pow x 2)))))
(* 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)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 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 (* 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))))
Outputs
(* 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)
3
#s(literal 3 binary64)
(+ 3 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(pow x 2)
(*.f64 x x)
(+ 3 (* -1 x))
(-.f64 #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))
(+ 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)))
(* -2 x)
(*.f64 #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)
(* -2 (pow x 2))
(*.f64 (*.f64 #s(literal -2 binary64) x) x)
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(* x (- (* 3 (/ 1 x)) 2))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* -1 x)
(neg.f64 x)
(* x (- (* 3 (/ 1 x)) 1))
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) x)
(* -1 (* (pow x 3) (+ 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)) x) x)
(* (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)
(* 4 (pow x 2))
(*.f64 #s(literal 4 binary64) (*.f64 x x))
(* (pow x 2) (+ 4 (* 9 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64))
(* 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)
(* -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 (- 2 (* 3 (/ 1 x)))))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* -1 (* x (- 1 (* 3 (/ 1 x)))))
(-.f64 #s(literal 3 binary64) x)
(* -1 (* (pow x 3) (+ 2 (+ (* 3 (/ 1 x)) (/ 9 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)) x #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)))
(* -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)))

rewrite101.0ms (1.8%)

Memory
-7.2MiB live, 148.9MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025126
043112
1156110
01136110
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
17 → 456
Calls
Call 1
Inputs
(*.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 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
(*.f64 x x)
#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
(-.f64 (-.f64 #s(literal 3 binary64) x) x)
(*.f64 (*.f64 x x) (-.f64 (-.f64 #s(literal 3 binary64) x) x))
(-.f64 #s(literal 3 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 (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 (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 #s(literal -2 binary64) x)
Outputs
(*.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(*.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x) x)
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x))
(*.f64 x (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (*.f64 x x)) (*.f64 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)) (pow.f64 x #s(literal 3 binary64))) (*.f64 x x)) (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)) #s(literal 9 binary64)) (*.f64 x x)) (-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) (*.f64 x x)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64)))))
(/.f64 (*.f64 (*.f64 x 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 (*.f64 x 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 x x) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 9 binary64))) (-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) x) (*.f64 (*.f64 #s(literal 3 binary64) x) x))) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) x) x)))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) x) (*.f64 (*.f64 #s(literal 3 binary64) x) x)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) x) x)))))
(fma.f64 (*.f64 (*.f64 x x) (neg.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64))))) (neg.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64)))) (*.f64 (*.f64 #s(literal 3 binary64) x) x))
(fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 (*.f64 x #s(literal -2 binary64)))) (sqrt.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) x) x))
(fma.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) x (*.f64 (*.f64 #s(literal 3 binary64) x) x))
(fma.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) (neg.f64 x)) (neg.f64 x) (*.f64 (*.f64 #s(literal 3 binary64) x) x))
(fma.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) (fabs.f64 x)) (fabs.f64 x) (*.f64 (*.f64 #s(literal 3 binary64) x) x))
(fma.f64 (*.f64 #s(literal 3 binary64) (neg.f64 x)) (neg.f64 x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))
(fma.f64 (*.f64 #s(literal 3 binary64) (fabs.f64 x)) (fabs.f64 x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))
(fma.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) x) x (*.f64 (*.f64 #s(literal 3 binary64) x) x))
(fma.f64 (*.f64 (neg.f64 x) (neg.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64))))) (*.f64 (neg.f64 x) (neg.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64))))) (*.f64 (*.f64 #s(literal 3 binary64) x) x))
(fma.f64 (*.f64 (neg.f64 x) (sqrt.f64 (*.f64 x #s(literal -2 binary64)))) (*.f64 (neg.f64 x) (sqrt.f64 (*.f64 x #s(literal -2 binary64)))) (*.f64 (*.f64 #s(literal 3 binary64) x) x))
(fma.f64 (*.f64 (fabs.f64 x) (neg.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64))))) (*.f64 (fabs.f64 x) (neg.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64))))) (*.f64 (*.f64 #s(literal 3 binary64) x) x))
(fma.f64 (*.f64 (fabs.f64 x) (sqrt.f64 (*.f64 x #s(literal -2 binary64)))) (*.f64 (fabs.f64 x) (sqrt.f64 (*.f64 x #s(literal -2 binary64)))) (*.f64 (*.f64 #s(literal 3 binary64) x) x))
(fma.f64 (*.f64 x (neg.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64))))) (*.f64 x (neg.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64))))) (*.f64 (*.f64 #s(literal 3 binary64) x) x))
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(fma.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64)))) (fabs.f64 x)) (*.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64)))) (fabs.f64 x)) (*.f64 (*.f64 #s(literal 3 binary64) x) x))
(fma.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64)))) x) (*.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64)))) x) (*.f64 (*.f64 #s(literal 3 binary64) x) x))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64))) (neg.f64 x)) (*.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64))) (neg.f64 x)) (*.f64 (*.f64 #s(literal 3 binary64) x) x))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64))) (fabs.f64 x)) (*.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64))) (fabs.f64 x)) (*.f64 (*.f64 #s(literal 3 binary64) x) x))
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 x #s(literal -2 binary64)))) (*.f64 x (sqrt.f64 (*.f64 x #s(literal -2 binary64)))) (*.f64 (*.f64 #s(literal 3 binary64) x) x))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64))) x) (*.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64))) x) (*.f64 (*.f64 #s(literal 3 binary64) x) x))
(fma.f64 (*.f64 #s(literal 3 binary64) 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))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64)))) (*.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64)))) (*.f64 x x)) (*.f64 (*.f64 #s(literal 3 binary64) x) x))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) (*.f64 x #s(literal -2 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) x) x))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (*.f64 x #s(literal -2 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) x) x))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 x x)) (*.f64 (*.f64 #s(literal 3 binary64) x) x))
(fma.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x x) (*.f64 (*.f64 #s(literal 3 binary64) x) x))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) x) x))
(fma.f64 (*.f64 x 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)))
(fma.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal 3 binary64) x) x))
(fma.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) x) x))
(fma.f64 x (*.f64 #s(literal 3 binary64) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) x) x))
(-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) (*.f64 #s(literal -3 binary64) (*.f64 x x)))
(-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) (*.f64 (neg.f64 (*.f64 x x)) #s(literal 3 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))
(+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) x) x))
(*.f64 (pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (fabs.f64 (sqrt.f64 #s(literal -2 binary64))) (fabs.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64))))) (sqrt.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64))))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64)))) (sqrt.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64)))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -2 binary64)))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 x))
(pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 x #s(literal -2 binary64)))
(fabs.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64)))))
(fabs.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64))) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 x))
(*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -2 binary64))) (*.f64 (sqrt.f64 x) (sqrt.f64 x)))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64))))) (neg.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64))))))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64)))) (neg.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64)))))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 x #s(literal -2 binary64)))))
(*.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64))) (sqrt.f64 (*.f64 x #s(literal -2 binary64))))
(*.f64 x #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) x)
(pow.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(neg.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64)))) (sqrt.f64 (*.f64 x #s(literal -2 binary64)))))
(neg.f64 (*.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64))) (neg.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64))))))
(sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)))
(fabs.f64 (*.f64 x #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal 2 binary64)))

eval106.0ms (1.9%)

Memory
18.5MiB live, 117.6MiB allocated; 13ms collecting garbage
Compiler

Compiled 7 668 to 1 211 computations (84.2% saved)

prune33.0ms (0.6%)

Memory
-6.9MiB live, 38.8MiB allocated; 5ms collecting garbage
Pruning

15 alts after pruning (11 fresh and 4 done)

PrunedKeptTotal
New4108418
Fresh437
Picked145
Done000
Total41515430
Accuracy
100.0%
Counts
430 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.3%
(fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 (*.f64 x #s(literal -2 binary64)))) (sqrt.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) x) x))
78.4%
(/.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 x #s(literal -2 binary64)) x)) x)
98.1%
(*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (/.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
99.8%
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
64.7%
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
50.2%
(*.f64 (*.f64 x x) (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64)))) (sqrt.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64))))) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)))
75.1%
(*.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)))))
50.2%
(*.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)))
99.7%
(*.f64 (*.f64 x x) (-.f64 (-.f64 #s(literal 3 binary64) x) x))
72.0%
(*.f64 (*.f64 x x) (-.f64 #s(approx (- 3 x) (neg.f64 x)) x))
75.3%
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 (hypot.f64 x x) (sqrt.f64 #s(literal 2 binary64)))))
49.5%
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) x)) (sqrt.f64 x))))
64.6%
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
72.0%
#s(approx (* (* (+ (* -2 x) 3) x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))
Compiler

Compiled 392 to 261 computations (33.4% saved)

simplify185.0ms (3.3%)

Memory
1.2MiB live, 186.0MiB allocated; 22ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 19 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
(*.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) x)) (sqrt.f64 x))
cost-diff0
(-.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) x)) (sqrt.f64 x)))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) x)) (sqrt.f64 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 x #s(literal -2 binary64))
cost-diff0
(*.f64 (*.f64 x #s(literal -2 binary64)) x)
cost-diff0
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) x)) x)
cost-diff2
(fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040265
068265
1133244
2395240
31571240
44265240
08109234
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) x)) x)
(fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) x))
x
#s(literal 3 binary64)
(*.f64 (*.f64 x #s(literal -2 binary64)) x)
(*.f64 x #s(literal -2 binary64))
#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) (-.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) x)) (sqrt.f64 x))))
(*.f64 x x)
x
(-.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) x)) (sqrt.f64 x)))
#s(literal 3 binary64)
(*.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) x)) (sqrt.f64 x))
(sqrt.f64 (*.f64 #s(literal 4 binary64) x))
(*.f64 #s(literal 4 binary64) x)
#s(literal 4 binary64)
(sqrt.f64 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 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 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) x)) x)
(*.f64 (*.f64 x x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))
(fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) x))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
x
#s(literal 3 binary64)
(*.f64 (*.f64 x #s(literal -2 binary64)) x)
(*.f64 (*.f64 #s(literal -2 binary64) x) x)
(*.f64 x #s(literal -2 binary64))
(*.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) (-.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) x)) (sqrt.f64 x))))
(*.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 4 binary64) x)) #s(literal -3 binary64)) (*.f64 (neg.f64 x) x))
(*.f64 x x)
x
(-.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) x)) (sqrt.f64 x)))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 #s(literal 4 binary64) x)) #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 4 binary64) x)))
(sqrt.f64 (*.f64 #s(literal 4 binary64) x))
(*.f64 #s(literal 4 binary64) x)
#s(literal 4 binary64)
(sqrt.f64 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 (/.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))
(*.f64 (*.f64 #s(literal 4 binary64) 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)

localize135.0ms (2.4%)

Memory
34.2MiB live, 257.1MiB allocated; 65ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.08203125
(*.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)))))
accuracy0.12999004329671593
(/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))
accuracy8.14426435818093
(/.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)))
accuracy8.147373640899383
(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
(sqrt.f64 (*.f64 #s(literal 4 binary64) x))
accuracy0.0
(sqrt.f64 x)
accuracy0.08203125
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) x)) (sqrt.f64 x))))
accuracy0.2421875
(*.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) x)) (sqrt.f64 x))
accuracy0.03515625
(*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x)
accuracy0.05859375
(*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) x)
accuracy1.4304154211825595
(/.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)))
accuracy13.860186818694695
#s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64))
accuracy0.046875
(*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x)
accuracy0.05859375
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
accuracy14.442168375455335
#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
accuracy0.0
(*.f64 (*.f64 x #s(literal -2 binary64)) x)
accuracy0.0
(*.f64 x #s(literal -2 binary64))
accuracy0.01953125
(fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) x))
accuracy0.05859375
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) x)) x)
Samples
55.0ms129×0invalid
48.0ms113×0valid
4.0ms1valid
3.0ms2valid
Compiler

Compiled 274 to 41 computations (85% saved)

Precisions
Click to see histograms. Total time spent on operations: 77.0ms
ival-mult: 50.0ms (64.8% of total)
ival-sqrt: 10.0ms (13% of total)
ival-add: 7.0ms (9.1% of total)
ival-div: 5.0ms (6.5% of total)
adjust: 2.0ms (2.6% of total)
ival-sub: 2.0ms (2.6% of total)
exact: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series66.0ms (1.2%)

Memory
-10.9MiB live, 35.3MiB allocated; 9ms collecting garbage
Counts
22 → 64
Calls
Call 1
Inputs
(fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) x))
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) x)) x)
(*.f64 (*.f64 x #s(literal -2 binary64)) x)
(*.f64 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))
(/.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))
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) x)) (sqrt.f64 x))))
(*.f64 x x)
(-.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) x)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) x)) (sqrt.f64 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 #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))
(sqrt.f64 x)
(sqrt.f64 (*.f64 #s(literal 4 binary64) 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 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)
(* 2 x)
(* 4 (pow x 2))
(sqrt x)
(* 2 (sqrt x))
(* -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)))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 3))
(* (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)))))
(/ -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 (* (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)))))
(* (pow x 3) (* (sqrt -4) (sqrt -1)))
(* -1 (* (pow x 3) (- (* -1 (* (sqrt -4) (sqrt -1))) (* 3 (/ 1 x)))))
(* x (* (sqrt -4) (sqrt -1)))
(* x (+ (* (sqrt -4) (sqrt -1)) (* 3 (/ 1 x))))
(* -1 (* x (* (sqrt -4) (sqrt -1))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (* (sqrt -4) (sqrt -1))))
(* -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
54.0ms
x
@inf
((+ (* x 3) (* (* x -2) x)) (* (+ (* x 3) (* (* x -2) x)) x) (* (* x -2) x) (* x -2) (* (* (- 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) (* (* x x) (- 3 (* (sqrt (* 4 x)) (sqrt x)))) (* x x) (- 3 (* (sqrt (* 4 x)) (sqrt x))) (* (sqrt (* 4 x)) (sqrt x)) (+ (* (* 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)) (sqrt x) (sqrt (* 4 x)) (/ (* -2 x) (+ (* x (+ (* 4 x) 6)) 9)) (/ 27 (+ (* x (+ (* 4 x) 6)) 9)))
7.0ms
x
@-inf
((+ (* x 3) (* (* x -2) x)) (* (+ (* x 3) (* (* x -2) x)) x) (* (* x -2) x) (* x -2) (* (* (- 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) (* (* x x) (- 3 (* (sqrt (* 4 x)) (sqrt x)))) (* x x) (- 3 (* (sqrt (* 4 x)) (sqrt x))) (* (sqrt (* 4 x)) (sqrt x)) (+ (* (* 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)) (sqrt x) (sqrt (* 4 x)) (/ (* -2 x) (+ (* x (+ (* 4 x) 6)) 9)) (/ 27 (+ (* x (+ (* 4 x) 6)) 9)))
3.0ms
x
@0
((+ (* x 3) (* (* x -2) x)) (* (+ (* x 3) (* (* x -2) x)) x) (* (* x -2) x) (* x -2) (* (* (- 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) (* (* x x) (- 3 (* (sqrt (* 4 x)) (sqrt x)))) (* x x) (- 3 (* (sqrt (* 4 x)) (sqrt x))) (* (sqrt (* 4 x)) (sqrt x)) (+ (* (* 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)) (sqrt x) (sqrt (* 4 x)) (/ (* -2 x) (+ (* x (+ (* 4 x) 6)) 9)) (/ 27 (+ (* x (+ (* 4 x) 6)) 9)))

simplify213.0ms (3.8%)

Memory
-13.1MiB live, 306.2MiB allocated; 108ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0209590
1672583
22048562
37504562
08026538
Stop Event
iter limit
node limit
Counts
64 → 64
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)
(* 2 x)
(* 4 (pow x 2))
(sqrt x)
(* 2 (sqrt x))
(* -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)))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 3))
(* (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)))))
(/ -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 (* (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)))))
(* (pow x 3) (* (sqrt -4) (sqrt -1)))
(* -1 (* (pow x 3) (- (* -1 (* (sqrt -4) (sqrt -1))) (* 3 (/ 1 x)))))
(* x (* (sqrt -4) (sqrt -1)))
(* x (+ (* (sqrt -4) (sqrt -1)) (* 3 (/ 1 x))))
(* -1 (* x (* (sqrt -4) (sqrt -1))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (* (sqrt -4) (sqrt -1))))
(* -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 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)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 4 binary64))
(sqrt x)
(sqrt.f64 x)
(* 2 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 2 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 (-.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))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) x) 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)))
(* 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 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) x) (neg.f64 x))
(* (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 (*.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))
(/ -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 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.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)) (/ 9 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) 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)))
(* (pow x 3) (* (sqrt -4) (sqrt -1)))
(*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* (pow x 3) (- (* -1 (* (sqrt -4) (sqrt -1))) (* 3 (/ 1 x)))))
(*.f64 (neg.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (neg.f64 (sqrt.f64 #s(literal -4 binary64))) #s(literal -3 binary64))) (*.f64 x x))
(* x (* (sqrt -4) (sqrt -1)))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 #s(literal -4 binary64)))
(* x (+ (* (sqrt -4) (sqrt -1)) (* 3 (/ 1 x))))
(fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 #s(literal -4 binary64)) #s(literal 3 binary64))
(* -1 (* x (* (sqrt -4) (sqrt -1))))
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -4 binary64))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (* (sqrt -4) (sqrt -1))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)) (neg.f64 (sqrt.f64 #s(literal -4 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 #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)
(/ (+ 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))

rewrite236.0ms (4.2%)

Memory
19.4MiB live, 382.9MiB allocated; 96ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040223
068218
1244183
21758180
08946174
Stop Event
iter limit
node limit
iter limit
Counts
22 → 556
Calls
Call 1
Inputs
(fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) x))
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) x)) x)
(*.f64 (*.f64 x #s(literal -2 binary64)) x)
(*.f64 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))
(/.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))
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) x)) (sqrt.f64 x))))
(*.f64 x x)
(-.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) x)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) x)) (sqrt.f64 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 #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))
(sqrt.f64 x)
(sqrt.f64 (*.f64 #s(literal 4 binary64) 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 (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 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 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 (pow.f64 x #s(literal 6 binary64)) #s(literal -8 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 (pow.f64 x #s(literal 6 binary64)) #s(literal -8 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 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) (*.f64 #s(literal 3 binary64) x)) (*.f64 (*.f64 x x) #s(literal 9 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -8 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) (*.f64 #s(literal 3 binary64) x)) (*.f64 (*.f64 x x) #s(literal 9 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) (*.f64 #s(literal 3 binary64) x)) (*.f64 (*.f64 x x) #s(literal 9 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) (*.f64 #s(literal 3 binary64) x)) (*.f64 (*.f64 x x) #s(literal 9 binary64)))) (-.f64 (*.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -8 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) (*.f64 #s(literal 3 binary64) x)) (*.f64 (*.f64 x x) #s(literal 9 binary64)))) (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -8 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) (*.f64 #s(literal 3 binary64) x)) (*.f64 (*.f64 x x) #s(literal 9 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) (*.f64 #s(literal 3 binary64) x)) (*.f64 (*.f64 x x) #s(literal 9 binary64)))) (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -8 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) (*.f64 #s(literal 3 binary64) x)) (*.f64 (*.f64 x x) #s(literal 9 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 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 (*.f64 x (*.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) #s(literal 9 binary64) (-.f64 (*.f64 (*.f64 x (*.f64 (neg.f64 x) #s(literal 2 binary64))) (*.f64 x (*.f64 (neg.f64 x) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 x (*.f64 (neg.f64 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 (pow.f64 x #s(literal 6 binary64)) #s(literal -8 binary64) (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) (*.f64 #s(literal 3 binary64) x)) (*.f64 (*.f64 x x) #s(literal 9 binary64))))))
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 #s(literal 4 binary64) x) x)))) (neg.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 27 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -8 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 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) (*.f64 #s(literal 3 binary64) x)) (*.f64 (*.f64 x x) #s(literal 9 binary64))) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) (*.f64 #s(literal 3 binary64) x)) (*.f64 (*.f64 x x) #s(literal 9 binary64))) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -8 binary64)))) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) (*.f64 #s(literal 3 binary64) x)) (*.f64 (*.f64 x x) #s(literal 9 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) (*.f64 #s(literal 3 binary64) x)) (*.f64 (*.f64 x x) #s(literal 9 binary64)))))
(/.f64 (*.f64 x (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 #s(literal 4 binary64) x) x))) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 27 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)))) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 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 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -8 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 (pow.f64 x #s(literal 6 binary64)) #s(literal -8 binary64) (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 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 (*.f64 (*.f64 #s(literal 3 binary64) x) x) (*.f64 #s(literal -2 binary64) x))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -8 binary64) (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) (*.f64 #s(literal 3 binary64) x)) (*.f64 (*.f64 x x) #s(literal 9 binary64)))))
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(/.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))))
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(/.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 #s(literal 729 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 3 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) (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 (*.f64 #s(literal 27 binary64) (-.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 #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 (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 #s(literal 27 binary64) (-.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 #s(literal 729 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 3 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 #s(literal 27 binary64) (+.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 #s(literal 729 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) #s(literal 3 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 #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))))

eval221.0ms (3.9%)

Memory
-33.3MiB live, 199.8MiB allocated; 35ms collecting garbage
Compiler

Compiled 19 399 to 2 209 computations (88.6% saved)

prune17.0ms (0.3%)

Memory
42.2MiB live, 42.2MiB allocated; 0ms collecting garbage
Pruning

15 alts after pruning (9 fresh and 6 done)

PrunedKeptTotal
New6056611
Fresh336
Picked325
Done044
Total61115626
Accuracy
100.0%
Counts
626 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.3%
(fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 (*.f64 x #s(literal -2 binary64)))) (sqrt.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) x) x))
99.8%
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) x)) x)
99.8%
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
64.7%
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
75.1%
(*.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)))))
50.2%
(*.f64 (*.f64 x x) (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64)))) (sqrt.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64))))) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)))
49.5%
(*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 x)) (sqrt.f64 x) #s(literal 3 binary64)))
50.2%
(*.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)))
99.7%
(*.f64 (*.f64 x x) (-.f64 (-.f64 #s(literal 3 binary64) x) x))
72.0%
(*.f64 (*.f64 x x) (-.f64 #s(approx (- 3 x) (neg.f64 x)) x))
75.3%
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
64.6%
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
78.3%
(*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) (/.f64 (*.f64 x x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))))
90.5%
#s(approx (* (+ (* x 3) (* (* x -2) x)) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))))
72.0%
#s(approx (* (+ (* x 3) (* (* x -2) x)) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))
Compiler

Compiled 391 to 257 computations (34.3% saved)

simplify220.0ms (3.9%)

Memory
-3.7MiB live, 190.5MiB allocated; 57ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64)))) (sqrt.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64))))) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)))
cost-diff6
(fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64)))) (sqrt.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64))))) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64))
cost-diff7
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64)))) (sqrt.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64)))))
cost-diff0
(sqrt.f64 (*.f64 x #s(literal -2 binary64)))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) (sqrt.f64 (*.f64 x #s(literal -2 binary64))))
cost-diff10
(fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 (*.f64 x #s(literal -2 binary64)))) (sqrt.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) x) x))
cost-diff0
(*.f64 #s(literal -2 binary64) (sqrt.f64 x))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 x)) (sqrt.f64 x) #s(literal 3 binary64)))
cost-diff4
(fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 x)) (sqrt.f64 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 #s(literal 3 binary64) x) #s(literal 2 binary64))
cost-diff0
(pow.f64 x #s(literal 3 binary64))
cost-diff0
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)))
cost-diff0
#s(approx (* (+ (* x 3) (* (* x -2) x)) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036229
063198
1130181
2401181
32044181
43680181
54269181
65005181
75657181
85909181
96637181
08109175
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (* (+ (* x 3) (* (* x -2) x)) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))
(/.f64 #s(literal 3 binary64) x)
#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 (*.f64 #s(literal -2 binary64) (sqrt.f64 x)) (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 x x)
x
(fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 x)) (sqrt.f64 x) #s(literal 3 binary64))
(*.f64 #s(literal -2 binary64) (sqrt.f64 x))
#s(literal -2 binary64)
(sqrt.f64 x)
#s(literal 3 binary64)
(fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 (*.f64 x #s(literal -2 binary64)))) (sqrt.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) x) x))
(*.f64 (*.f64 x x) (sqrt.f64 (*.f64 x #s(literal -2 binary64))))
(*.f64 x x)
x
(sqrt.f64 (*.f64 x #s(literal -2 binary64)))
(*.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
(*.f64 (*.f64 #s(literal 3 binary64) x) x)
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
(*.f64 (*.f64 x x) (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64)))) (sqrt.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64))))) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)))
(*.f64 x x)
x
(fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64)))) (sqrt.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64))))) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64)))) (sqrt.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64)))))
(sqrt.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64))))
(sqrt.f64 (*.f64 x #s(literal -2 binary64)))
(*.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
(sqrt.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
#s(literal 3 binary64)
Outputs
#s(approx (* (+ (* x 3) (* (* x -2) x)) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))))
#s(approx (* (+ (* x 3) (* (* x -2) x)) x) (*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))
(/.f64 #s(literal 3 binary64) x)
#s(literal 2 binary64)
(*.f64 (*.f64 x x) (-.f64 #s(approx (- 3 x) (neg.f64 x)) x))
(*.f64 (*.f64 (-.f64 #s(approx (- 3 x) (neg.f64 x)) x) 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 (*.f64 #s(literal -2 binary64) (sqrt.f64 x)) (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(*.f64 x x)
x
(fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 x)) (sqrt.f64 x) #s(literal 3 binary64))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(*.f64 #s(literal -2 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal -2 binary64))
#s(literal -2 binary64)
(sqrt.f64 x)
#s(literal 3 binary64)
(fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 (*.f64 x #s(literal -2 binary64)))) (sqrt.f64 (*.f64 x #s(literal -2 binary64))) (*.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) (sqrt.f64 (*.f64 x #s(literal -2 binary64))))
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 x x))
(*.f64 x x)
x
(sqrt.f64 (*.f64 x #s(literal -2 binary64)))
(sqrt.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 x #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
(*.f64 (*.f64 #s(literal 3 binary64) x) x)
(*.f64 (*.f64 x x) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
(*.f64 (*.f64 x x) (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64)))) (sqrt.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64))))) (sqrt.f64 (*.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 x x)
x
(fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64)))) (sqrt.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64))))) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64)))) (sqrt.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64)))))
(sqrt.f64 (*.f64 #s(literal -2 binary64) x))
(sqrt.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64))))
(sqrt.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)))
(sqrt.f64 (*.f64 x #s(literal -2 binary64)))
(sqrt.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 x #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
(sqrt.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
#s(literal 3 binary64)

localize178.0ms (3.1%)

Memory
-13.0MiB live, 320.4MiB allocated; 28ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 #s(literal -2 binary64) x)
accuracy0.0
(sqrt.f64 (*.f64 x #s(literal -2 binary64)))
accuracy0.0
(sqrt.f64 (*.f64 #s(literal -2 binary64) x))
accuracy0.0
(sqrt.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64))))
accuracy0.0
(*.f64 x x)
accuracy0.0
(*.f64 x #s(literal -2 binary64))
accuracy0.0
(*.f64 #s(literal 3 binary64) x)
accuracy0.0
(sqrt.f64 (*.f64 x #s(literal -2 binary64)))
accuracy0.0
(*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 x)) (sqrt.f64 x) #s(literal 3 binary64)))
accuracy0.0
(*.f64 x x)
accuracy0.0
(*.f64 #s(literal -2 binary64) (sqrt.f64 x))
accuracy0.0
(sqrt.f64 x)
accuracy0.0
(*.f64 (*.f64 x x) (-.f64 #s(approx (- 3 x) (neg.f64 x)) x))
accuracy0.0
(*.f64 x x)
accuracy0.0
(neg.f64 x)
accuracy0.0
#s(approx (- 3 x) (neg.f64 x))
accuracy0.0
(/.f64 #s(literal 3 binary64) x)
accuracy0.0
(-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))
accuracy0.0
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)))
accuracy0.0
#s(approx (* (+ (* x 3) (* (* x -2) x)) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))))
Samples
123.0ms256×0invalid
Compiler

Compiled 217 to 38 computations (82.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-mult: 26.0ms (48.7% of total)
ival-add: 6.0ms (11.2% of total)
ival-sqrt: 6.0ms (11.2% of total)
ival-div: 5.0ms (9.4% of total)
ival-pow: 5.0ms (9.4% of total)
ival-sub: 3.0ms (5.6% of total)
ival-neg: 1.0ms (1.9% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series67.0ms (1.2%)

Memory
1.7MiB live, 143.9MiB allocated; 20ms collecting garbage
Counts
25 → 45
Calls
Call 1
Inputs
#s(approx (* (+ (* x 3) (* (* x -2) x)) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)))
(pow.f64 x #s(literal 3 binary64))
(-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 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 (*.f64 #s(literal -2 binary64) (sqrt.f64 x)) (sqrt.f64 x) #s(literal 3 binary64))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 x)) (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 #s(literal -2 binary64) (sqrt.f64 x))
(fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 (*.f64 x #s(literal -2 binary64)))) (sqrt.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) x) x))
(*.f64 (*.f64 x x) (sqrt.f64 (*.f64 x #s(literal -2 binary64))))
(sqrt.f64 (*.f64 x #s(literal -2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64)))) (sqrt.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64)))))
(fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64)))) (sqrt.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64))))) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64)))) (sqrt.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64))))) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)))
(/.f64 #s(literal 3 binary64) x)
(neg.f64 x)
(sqrt.f64 x)
(*.f64 #s(literal 3 binary64) x)
(*.f64 x #s(literal -2 binary64))
(sqrt.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64))))
(sqrt.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
Outputs
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(pow x 3)
(/ 3 x)
(/ (+ 3 (* -2 x)) x)
(pow x 2)
3
(+ 3 (* -2 x))
(+ 3 (* -1 x))
(* -2 (sqrt x))
(* (pow x 2) (+ 3 (* x (pow (sqrt -2) 2))))
(* (sqrt (pow x 5)) (sqrt -2))
(* (sqrt x) (sqrt -2))
(+ 3 (* x (pow (sqrt -2) 2)))
(* -1 x)
(sqrt x)
(* 3 x)
(* -2 x)
(* (pow (* 1 x) 1/4) (sqrt (sqrt -2)))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
-2
(- (* 3 (/ 1 x)) 2)
(* x (- (* 3 (/ 1 x)) 2))
(* x (- (* 3 (/ 1 x)) 1))
(* (pow x 3) (pow (sqrt -2) 2))
(* (pow x 3) (+ (* 3 (/ 1 x)) (pow (sqrt -2) 2)))
(* x (pow (sqrt -2) 2))
(* x (+ (* 3 (/ 1 x)) (pow (sqrt -2) 2)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 1 (* 3 (/ 1 x)))))
(* 2 (* x (pow (sqrt -1) 2)))
(* -1 (* x (- (* -2 (pow (sqrt -1) 2)) (* 3 (/ 1 x)))))
(* 2 (* (pow x 3) (pow (sqrt -1) 2)))
(* -1 (* (pow x 3) (- (* -2 (pow (sqrt -1) 2)) (* 3 (/ 1 x)))))
(* 2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (pow x 3) (pow (sqrt 2) 2)))
(* -1 (* (pow x 3) (- (pow (sqrt 2) 2) (* 3 (/ 1 x)))))
(* -1 (* (sqrt (pow x 5)) (* (sqrt -1) (sqrt 2))))
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 2))))
(* -1 (* x (pow (sqrt 2) 2)))
(* -1 (* x (- (pow (sqrt 2) 2) (* 3 (/ 1 x)))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* (pow (* -1 x) 1/4) (sqrt (sqrt 2)))
Calls

3 calls:

TimeVariablePointExpression
38.0ms
x
@0
((* (+ (* x 3) (* (* x -2) x)) x) (* (pow x 3) (- (/ 3 x) 2)) (pow x 3) (- (/ 3 x) 2) (* (* x x) (- (- 3 x) x)) (* x x) (- (- 3 x) x) (- 3 x) (+ (* (* -2 (sqrt x)) (sqrt x)) 3) (* (* x x) (+ (* (* -2 (sqrt x)) (sqrt x)) 3)) (* -2 (sqrt x)) (+ (* (* (* x x) (sqrt (* x -2))) (sqrt (* x -2))) (* (* 3 x) x)) (* (* x x) (sqrt (* x -2))) (sqrt (* x -2)) (* (sqrt (sqrt (* x -2))) (sqrt (sqrt (* x -2)))) (+ (* (* (sqrt (sqrt (* x -2))) (sqrt (sqrt (* x -2)))) (sqrt (* -2 x))) 3) (* (* x x) (+ (* (* (sqrt (sqrt (* x -2))) (sqrt (sqrt (* x -2)))) (sqrt (* -2 x))) 3)) (/ 3 x) (neg x) (sqrt x) (* 3 x) (* x -2) (sqrt (sqrt (* x -2))) (sqrt (* -2 x)) (* -2 x))
16.0ms
x
@inf
((* (+ (* x 3) (* (* x -2) x)) x) (* (pow x 3) (- (/ 3 x) 2)) (pow x 3) (- (/ 3 x) 2) (* (* x x) (- (- 3 x) x)) (* x x) (- (- 3 x) x) (- 3 x) (+ (* (* -2 (sqrt x)) (sqrt x)) 3) (* (* x x) (+ (* (* -2 (sqrt x)) (sqrt x)) 3)) (* -2 (sqrt x)) (+ (* (* (* x x) (sqrt (* x -2))) (sqrt (* x -2))) (* (* 3 x) x)) (* (* x x) (sqrt (* x -2))) (sqrt (* x -2)) (* (sqrt (sqrt (* x -2))) (sqrt (sqrt (* x -2)))) (+ (* (* (sqrt (sqrt (* x -2))) (sqrt (sqrt (* x -2)))) (sqrt (* -2 x))) 3) (* (* x x) (+ (* (* (sqrt (sqrt (* x -2))) (sqrt (sqrt (* x -2)))) (sqrt (* -2 x))) 3)) (/ 3 x) (neg x) (sqrt x) (* 3 x) (* x -2) (sqrt (sqrt (* x -2))) (sqrt (* -2 x)) (* -2 x))
12.0ms
x
@-inf
((* (+ (* x 3) (* (* x -2) x)) x) (* (pow x 3) (- (/ 3 x) 2)) (pow x 3) (- (/ 3 x) 2) (* (* x x) (- (- 3 x) x)) (* x x) (- (- 3 x) x) (- 3 x) (+ (* (* -2 (sqrt x)) (sqrt x)) 3) (* (* x x) (+ (* (* -2 (sqrt x)) (sqrt x)) 3)) (* -2 (sqrt x)) (+ (* (* (* x x) (sqrt (* x -2))) (sqrt (* x -2))) (* (* 3 x) x)) (* (* x x) (sqrt (* x -2))) (sqrt (* x -2)) (* (sqrt (sqrt (* x -2))) (sqrt (sqrt (* x -2)))) (+ (* (* (sqrt (sqrt (* x -2))) (sqrt (sqrt (* x -2)))) (sqrt (* -2 x))) 3) (* (* x x) (+ (* (* (sqrt (sqrt (* x -2))) (sqrt (sqrt (* x -2)))) (sqrt (* -2 x))) 3)) (/ 3 x) (neg x) (sqrt x) (* 3 x) (* x -2) (sqrt (sqrt (* x -2))) (sqrt (* -2 x)) (* -2 x))

simplify212.0ms (3.7%)

Memory
8.8MiB live, 198.3MiB allocated; 40ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088233
1234233
2785229
32335229
45520229
08170215
Stop Event
iter limit
node limit
Counts
45 → 45
Calls
Call 1
Inputs
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(pow x 3)
(/ 3 x)
(/ (+ 3 (* -2 x)) x)
(pow x 2)
3
(+ 3 (* -2 x))
(+ 3 (* -1 x))
(* -2 (sqrt x))
(* (pow x 2) (+ 3 (* x (pow (sqrt -2) 2))))
(* (sqrt (pow x 5)) (sqrt -2))
(* (sqrt x) (sqrt -2))
(+ 3 (* x (pow (sqrt -2) 2)))
(* -1 x)
(sqrt x)
(* 3 x)
(* -2 x)
(* (pow (* 1 x) 1/4) (sqrt (sqrt -2)))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
-2
(- (* 3 (/ 1 x)) 2)
(* x (- (* 3 (/ 1 x)) 2))
(* x (- (* 3 (/ 1 x)) 1))
(* (pow x 3) (pow (sqrt -2) 2))
(* (pow x 3) (+ (* 3 (/ 1 x)) (pow (sqrt -2) 2)))
(* x (pow (sqrt -2) 2))
(* x (+ (* 3 (/ 1 x)) (pow (sqrt -2) 2)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 1 (* 3 (/ 1 x)))))
(* 2 (* x (pow (sqrt -1) 2)))
(* -1 (* x (- (* -2 (pow (sqrt -1) 2)) (* 3 (/ 1 x)))))
(* 2 (* (pow x 3) (pow (sqrt -1) 2)))
(* -1 (* (pow x 3) (- (* -2 (pow (sqrt -1) 2)) (* 3 (/ 1 x)))))
(* 2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (pow x 3) (pow (sqrt 2) 2)))
(* -1 (* (pow x 3) (- (pow (sqrt 2) 2) (* 3 (/ 1 x)))))
(* -1 (* (sqrt (pow x 5)) (* (sqrt -1) (sqrt 2))))
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 2))))
(* -1 (* x (pow (sqrt 2) 2)))
(* -1 (* x (- (pow (sqrt 2) 2) (* 3 (/ 1 x)))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* (pow (* -1 x) 1/4) (sqrt (sqrt 2)))
Outputs
(* 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 3)
(pow.f64 x #s(literal 3 binary64))
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
(/ (+ 3 (* -2 x)) x)
(-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))
(pow x 2)
(*.f64 x x)
3
#s(literal 3 binary64)
(+ 3 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(+ 3 (* -1 x))
(-.f64 #s(literal 3 binary64) x)
(* -2 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal -2 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 (pow x 5)) (sqrt -2))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 5 binary64))) (sqrt.f64 #s(literal -2 binary64)))
(* (sqrt x) (sqrt -2))
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 x))
(+ 3 (* x (pow (sqrt -2) 2)))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* -1 x)
(neg.f64 x)
(sqrt x)
(sqrt.f64 x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* (pow (* 1 x) 1/4) (sqrt (sqrt -2)))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal -2 binary64))) (pow.f64 x #s(literal 1/4 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
#s(literal -2 binary64)
(- (* 3 (/ 1 x)) 2)
(-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))
(* x (- (* 3 (/ 1 x)) 2))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 1))
(-.f64 #s(literal 3 binary64) x)
(* (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)
(* 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))
(* -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 (- 2 (* 3 (/ 1 x)))))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* -1 (* x (- 1 (* 3 (/ 1 x)))))
(-.f64 #s(literal 3 binary64) x)
(* 2 (* x (pow (sqrt -1) 2)))
(*.f64 #s(literal -2 binary64) x)
(* -1 (* x (- (* -2 (pow (sqrt -1) 2)) (* 3 (/ 1 x)))))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* 2 (* (pow x 3) (pow (sqrt -1) 2)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(* -1 (* (pow x 3) (- (* -2 (pow (sqrt -1) 2)) (* 3 (/ 1 x)))))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* 2 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal -2 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 (pow x 5)) (* (sqrt -1) (sqrt 2))))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 2))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))
(* -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 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* (pow (* -1 x) 1/4) (sqrt (sqrt 2)))
(*.f64 (sqrt.f64 (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)))

rewrite78.0ms (1.4%)

Memory
19.8MiB live, 105.9MiB allocated; 23ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036195
063164
1232147
01574141
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
25 → 552
Calls
Call 1
Inputs
#s(approx (* (+ (* x 3) (* (* x -2) x)) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)))
(pow.f64 x #s(literal 3 binary64))
(-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 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 (*.f64 #s(literal -2 binary64) (sqrt.f64 x)) (sqrt.f64 x) #s(literal 3 binary64))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 x)) (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 #s(literal -2 binary64) (sqrt.f64 x))
(fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 (*.f64 x #s(literal -2 binary64)))) (sqrt.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) x) x))
(*.f64 (*.f64 x x) (sqrt.f64 (*.f64 x #s(literal -2 binary64))))
(sqrt.f64 (*.f64 x #s(literal -2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64)))) (sqrt.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64)))))
(fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64)))) (sqrt.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64))))) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64)))) (sqrt.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64))))) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)))
(/.f64 #s(literal 3 binary64) x)
(neg.f64 x)
(sqrt.f64 x)
(*.f64 #s(literal 3 binary64) x)
(*.f64 x #s(literal -2 binary64))
(sqrt.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64))))
(sqrt.f64 (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
Outputs
#s(approx (* (+ (* x 3) (* (* x -2) x)) x) (*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (*.f64 x x)) x)
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) x) (*.f64 x x))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))))
(*.f64 (*.f64 x x) (*.f64 x (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))))
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)))
(*.f64 x (*.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 3 binary64) x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) #s(literal 8 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (+.f64 (pow.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 #s(literal 6 binary64) x)))
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) #s(literal 4 binary64))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 3 binary64) x)))
(/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 (+.f64 (pow.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 #s(literal 6 binary64) x)))
(*.f64 (*.f64 x (neg.f64 x)) (neg.f64 x))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))) (fabs.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 (neg.f64 x) (*.f64 (neg.f64 x) x))
(*.f64 (*.f64 x x) x)
(*.f64 x (*.f64 x x))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
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eval62.0ms (1.1%)

Memory
-26.9MiB live, 120.0MiB allocated; 25ms collecting garbage
Compiler

Compiled 10 961 to 1 330 computations (87.9% saved)

prune21.0ms (0.4%)

Memory
8.3MiB live, 54.1MiB allocated; 5ms collecting garbage
Pruning

15 alts after pruning (6 fresh and 9 done)

PrunedKeptTotal
New4843487
Fresh134
Picked235
Done066
Total48715502
Accuracy
100.0%
Counts
502 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.3%
(fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) x) x) (sqrt.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) x) x))
50.3%
(fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 (*.f64 x #s(literal -2 binary64)))) (sqrt.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) x) x))
99.8%
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) x)) x)
99.8%
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
64.7%
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
75.1%
(*.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)))))
49.5%
(*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 x)) (sqrt.f64 x) #s(literal 3 binary64)))
50.2%
(*.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)))
99.7%
(*.f64 (*.f64 x x) (-.f64 (-.f64 #s(literal 3 binary64) x) x))
72.0%
(*.f64 (*.f64 x x) (-.f64 #s(approx (- 3 x) (neg.f64 x)) x))
75.3%
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
64.6%
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
78.3%
(*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) (/.f64 (*.f64 x x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))))
72.0%
#s(approx (+ (* (* (* x x) (sqrt (* x -2))) (sqrt (* x -2))) (* (* 3 x) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))
90.4%
#s(approx (* (+ (* x 3) (* (* x -2) x)) x) (*.f64 (*.f64 (*.f64 x x) x) (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))))
Compiler

Compiled 724 to 299 computations (58.7% saved)

regimes18.0ms (0.3%)

Memory
-9.8MiB live, 34.6MiB allocated; 7ms collecting garbage
Counts
30 → 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 x #s(literal -2 binary64)) x)) x)
(fma.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) x) (*.f64 (*.f64 x x) #s(literal 3 binary64)))
(*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) (/.f64 (*.f64 x x) (fma.f64 #s(literal -2 binary64) x #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)))
#s(approx (* (+ (* x 3) (* (* x -2) x)) x) (*.f64 (*.f64 (*.f64 x x) x) (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))))
(*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (/.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #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 x x) (fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 x)) (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) x)) (sqrt.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 x x) (-.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 (*.f64 x #s(literal -2 binary64)))) (sqrt.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) x) x))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) x) x) (sqrt.f64 (*.f64 x #s(literal -2 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) 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)))))
(*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (/.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))))) (/.f64 (*.f64 x x) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64)))) (sqrt.f64 (sqrt.f64 (*.f64 x #s(literal -2 binary64))))) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)))
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))
#s(approx (* (* (+ (* -2 x) 3) x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))
#s(approx (* (+ (* x 3) (* (* x -2) x)) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))
#s(approx (+ (* (* (* x x) (sqrt (* x -2))) (sqrt (* x -2))) (* (* 3 x) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))
#s(approx (* (+ (* x 3) (* (* x -2) x)) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))))
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 (hypot.f64 x x) (sqrt.f64 #s(literal 2 binary64)))))
Outputs
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) x)) x)
Calls

2 calls:

10.0ms
(*.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
12.0MiB live, 12.0MiB 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 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
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)

regimes4.0ms (0.1%)

Memory
10.2MiB live, 10.2MiB allocated; 0ms collecting garbage
Counts
5 → 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))
Outputs
(*.f64 (*.f64 x x) (-.f64 (-.f64 #s(literal 3 binary64) x) x))
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
99.7%1(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
99.7%1x
Compiler

Compiled 10 to 8 computations (20% saved)

regimes4.0ms (0.1%)

Memory
9.5MiB live, 9.5MiB 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 #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)))
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
98.2%3(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
98.2%3x
Compiler

Compiled 10 to 8 computations (20% saved)

regimes38.0ms (0.7%)

Memory
-45.1MiB live, 6.9MiB allocated; 14ms collecting garbage
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 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
Calls

2 calls:

36.0ms
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
1.0ms
x
Results
AccuracySegmentsBranch
64.7%1(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
64.7%1x
Compiler

Compiled 10 to 8 computations (20% saved)

regimes2.0ms (0%)

Memory
5.7MiB live, 5.7MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
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
64.6%1(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
64.6%1x
Compiler

Compiled 10 to 8 computations (20% saved)

bsearch44.0ms (0.8%)

Memory
11.9MiB live, 55.0MiB allocated; 7ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
29.0ms
0.0011941623377177601
374538.72953674983
12.0ms
-1125.7824294275438
-5.627203128924076e-7
Samples
13.0ms288×0valid
Compiler

Compiled 444 to 389 computations (12.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 5.0ms (69.3% of total)
ival-sub: 1.0ms (13.9% 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)

simplify166.0ms (2.9%)

Memory
9.8MiB live, 99.4MiB allocated; 14ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03082
14282
25982
37682
49682
511982
627582
7206582
8371182
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) x)) x)
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(*.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 #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 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) 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 x #s(literal -2 binary64)) x)) x)
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(*.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 #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)))))
(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 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x))
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))

derivations455.0ms (8%)

Memory
6.5MiB live, 506.4MiB allocated; 66ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02464
16364
217264
360564
4228264
5529864
0841459
025126
043112
1156110
01136110
0720
01120
13820
223020
3178320
0927818
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 82 to 32 computations (61% saved)

preprocess152.0ms (2.7%)

Memory
-7.9MiB live, 76.9MiB allocated; 20ms collecting garbage
Compiler

Compiled 200 to 92 computations (54% saved)

end0.0ms (0%)

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

Profiling

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