Data.Spline.Key:interpolateKeys from smoothie-0.4.0.2

Time bar (total: 8.1s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×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)

sample997.0ms (12.4%)

Memory
38.3MiB live, 1 226.0MiB allocated
Samples
702.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 444.0ms
ival-mult: 250.0ms (56.3% of total)
ival-sub: 178.0ms (40.1% of total)
exact: 8.0ms (1.8% of total)
ival-true: 6.0ms (1.4% of total)
ival-assert: 3.0ms (0.7% of total)
Bogosity

explain381.0ms (4.7%)

Memory
-1.4MiB live, 90.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
00-0-(*.f64 x #s(literal 2 binary64))
00-0-#s(literal 2 binary64)
00-0-#s(literal 3 binary64)
00-0-(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
00-0-(*.f64 x x)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
25.0ms512×0valid
Compiler

Compiled 59 to 25 computations (57.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 9.0ms (69.2% of total)
ival-sub: 3.0ms (23.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess290.0ms (3.6%)

Memory
-11.4MiB live, 83.2MiB allocated
Algorithm
1×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
1×iter limit
1×saturated
1×iter limit
1×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
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify88.0ms (1.1%)

Memory
12.6MiB live, 57.5MiB allocated
Algorithm
1×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
1×iter limit
1×saturated
1×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)

localize68.0ms (0.8%)

Memory
4.4MiB live, 49.2MiB allocated
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))
accuracy0.12109375
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
Samples
63.0ms256×0valid
Compiler

Compiled 25 to 9 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 8.0ms (85% of total)
ival-sub: 1.0ms (10.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0%)

Memory
10.8MiB live, 10.8MiB allocated
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))

simplify355.0ms (4.4%)

Memory
-74.5MiB live, 301.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02464
16364
217264
360564
4228264
5529864
0841459
Stop Event
1×iter limit
1×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)

rewrite160.0ms (2%)

Memory
32.8MiB live, 312.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0720
01120
13820
223020
3178320
0927818
Stop Event
1×iter limit
1×node limit
1×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)))
(/.f64 (-.f64 (*.f64 #s(literal -9 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 x x)))) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))))
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(+.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)

eval63.0ms (0.8%)

Memory
0.8MiB live, 58.6MiB allocated
Compiler

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

prune24.0ms (0.3%)

Memory
-15.2MiB live, 30.7MiB allocated
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New29911310
Fresh000
Picked101
Done000
Total30011311
Accuracy
100.0%
Counts
311 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.7%
(fma.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) x) (*.f64 (*.f64 x x) #s(literal 3 binary64)))
96.1%
(/.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)))
70.1%
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) x) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))
74.8%
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64))) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))
▶99.9%
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
▶99.8%
(*.f64 (*.f64 x x) (-.f64 (-.f64 #s(literal 3 binary64) x) x))
▶50.3%
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) x)) (sqrt.f64 x))))
▶99.8%
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) x)))
72.7%
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))
▶66.4%
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
72.7%
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))
Compiler

Compiled 306 to 220 computations (28.1% saved)

simplify107.0ms (1.3%)

Memory
19.5MiB live, 63.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
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
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) x)
cost-diff0
#s(approx (- 3 (* x 2)) (*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) x))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) x)))
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
027161
046159
180155
2185155
3451155
41074155
51912155
62479155
72864155
83364155
93828155
103828155
113828155
123985155
134141155
144141155
04141155
Stop Event
1×iter limit
1×saturated
1×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 x x) #s(approx (- 3 (* x 2)) (*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) x)))
(*.f64 x x)
x
#s(approx (- 3 (* x 2)) (*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) x))
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) x)
(-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))
(/.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
#s(literal 2 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)
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 x x) #s(approx (- 3 (* x 2)) (*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) x)))
(*.f64 #s(approx (- 3 (* x 2)) (*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) x)) (*.f64 x x))
(*.f64 x x)
x
#s(approx (- 3 (* x 2)) (*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) x))
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) x)
(-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))
(/.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
#s(literal 2 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)))
(neg.f64 (fma.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)

localize177.0ms (2.2%)

Memory
4.2MiB live, 192.6MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(sqrt.f64 x)
accuracy0.0546875
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) x)) (sqrt.f64 x))))
accuracy0.25390625
(*.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) x)) (sqrt.f64 x))
accuracy0.47654455855291633
(sqrt.f64 (*.f64 #s(literal 4 binary64) x))
accuracy0.0
(*.f64 x x)
accuracy0.0
#s(approx (- 3 (* x 2)) (*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) x))
accuracy0.01953125
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) x)
accuracy0.0546875
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) x)))
accuracy0.0
(-.f64 #s(literal 3 binary64) x)
accuracy0.0
(*.f64 x x)
accuracy0.0078125
(-.f64 (-.f64 #s(literal 3 binary64) x) x)
accuracy0.0546875
(*.f64 (*.f64 x x) (-.f64 (-.f64 #s(literal 3 binary64) x) x))
accuracy0.0
(*.f64 x x)
accuracy0.0546875
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
accuracy14.435364382924796
#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)
accuracy0.03125
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
Samples
93.0ms127×0invalid
20.0ms121×0valid
2.0ms5×2valid
1.0ms3×1valid
Compiler

Compiled 146 to 27 computations (81.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 71.0ms
ival-mult: 55.0ms (77% of total)
ival-sub: 9.0ms (12.6% of total)
ival-sqrt: 3.0ms (4.2% of total)
ival-div: 2.0ms (2.8% of total)
adjust: 1.0ms (1.4% of total)
ival-add: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series18.0ms (0.2%)

Memory
-28.3MiB live, 19.3MiB allocated
Counts
17 → 29
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 x x) #s(approx (- 3 (* x 2)) (*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) x)))
#s(approx (- 3 (* x 2)) (*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) x))
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) x)
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) x)) (sqrt.f64 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))
(sqrt.f64 (*.f64 #s(literal 4 binary64) x))
(sqrt.f64 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))
(* 2 x)
(* 2 (sqrt x))
(sqrt x)
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* -2 x)
(* x (- (* 3 (/ 1 x)) 2))
(* -1 x)
(* x (- (* 3 (/ 1 x)) 1))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 1 (* 3 (/ 1 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) (* (sqrt -4) (sqrt -1))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
Calls

3 calls:

TimeVariablePointExpression
13.0ms
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) (* (* x x) (- 3 (* x 2))) (- 3 (* x 2)) (* (- (/ 3 x) 2) x) (* (* x x) (- 3 (* (sqrt (* 4 x)) (sqrt x)))) (- 3 (* (sqrt (* 4 x)) (sqrt x))) (* (sqrt (* 4 x)) (sqrt x)) (sqrt (* 4 x)) (sqrt 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) (* (* x x) (- 3 (* x 2))) (- 3 (* x 2)) (* (- (/ 3 x) 2) x) (* (* x x) (- 3 (* (sqrt (* 4 x)) (sqrt x)))) (- 3 (* (sqrt (* 4 x)) (sqrt x))) (* (sqrt (* 4 x)) (sqrt x)) (sqrt (* 4 x)) (sqrt x))
2.0ms
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) (* (* x x) (- 3 (* x 2))) (- 3 (* x 2)) (* (- (/ 3 x) 2) x) (* (* x x) (- 3 (* (sqrt (* 4 x)) (sqrt x)))) (- 3 (* (sqrt (* 4 x)) (sqrt x))) (* (sqrt (* 4 x)) (sqrt x)) (sqrt (* 4 x)) (sqrt x))

simplify333.0ms (4.1%)

Memory
28.8MiB live, 269.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055170
1155168
2408165
31393164
43028164
55556164
67404164
08337155
Stop Event
1×iter limit
1×node limit
Counts
29 → 29
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))
(* 2 x)
(* 2 (sqrt x))
(sqrt x)
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* -2 x)
(* x (- (* 3 (/ 1 x)) 2))
(* -1 x)
(* x (- (* 3 (/ 1 x)) 1))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 1 (* 3 (/ 1 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) (* (sqrt -4) (sqrt -1))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
Outputs
(* 3 (pow x 2))
(*.f64 (*.f64 #s(literal 3 binary64) x) x)
(* (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)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(sqrt x)
(sqrt.f64 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 #s(literal -2 binary64) (*.f64 x x))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 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)
(* -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)
(* -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)
(* (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 (*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) x) (sqrt.f64 #s(literal -4 binary64)) #s(literal 3 binary64)) 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 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -4 binary64))) (neg.f64 x))
(* -1 (* (sqrt x) (* (sqrt -4) (sqrt -1))))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -4 binary64))) (neg.f64 (sqrt.f64 x)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)

rewrite367.0ms (4.6%)

Memory
0.1MiB live, 268.5MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
027128
046115
1157111
21027108
09754108
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
17 → 1 286
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 x x) #s(approx (- 3 (* x 2)) (*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) x)))
#s(approx (- 3 (* x 2)) (*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) x))
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) x)
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) x)) (sqrt.f64 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))
(sqrt.f64 (*.f64 #s(literal 4 binary64) x))
(sqrt.f64 x)
Outputs
(*.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (neg.f64 x))
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) x) x)
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
(*.f64 x (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) x))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) x) (*.f64 (*.f64 #s(literal 3 binary64) x) x)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) x) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) x))) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) x) x))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (*.f64 (*.f64 x x) #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))) (-.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) x) (*.f64 (*.f64 #s(literal 3 binary64) x) x) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) x) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) x)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) x) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (*.f64 (*.f64 x x) #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 9 binary64)) x) x)) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64)) x) x)) #s(literal -3 binary64))
(/.f64 (neg.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))) (neg.f64 (fma.f64 #s(literal 3 binary64) x (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 x (*.f64 x (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64))))) #s(literal -3 binary64))
(/.f64 (neg.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))))) (neg.f64 (fma.f64 #s(literal 3 binary64) x (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 2 binary64) x)) x) x)) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 27 binary64)) x) x)) (neg.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64)))))
(/.f64 (neg.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 2 binary64) x))))) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)))
(/.f64 (neg.f64 (*.f64 x (*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 27 binary64))))) (neg.f64 (fma.f64 #s(literal 2 binary64) x (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64)))))
(/.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 9 binary64)) x) x) (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64)) x) x) #s(literal 3 binary64))
(/.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 #s(literal 3 binary64) x (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 2 binary64) x)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 27 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64))))
(/.f64 (*.f64 x (*.f64 x (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64)))) #s(literal 3 binary64))
(/.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 #s(literal 3 binary64) x (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))))
(/.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 2 binary64) x)))) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
(/.f64 (*.f64 x (*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 27 binary64)))) (fma.f64 #s(literal 2 binary64) x (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64))))
(neg.f64 (*.f64 (*.f64 (neg.f64 x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x))
(neg.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) (*.f64 (neg.f64 x) x)))
(neg.f64 (*.f64 x (*.f64 (neg.f64 x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))))
(neg.f64 (*.f64 (*.f64 (neg.f64 x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 (sqrt.f64 x) #s(literal -2 binary64))) (sqrt.f64 x) (*.f64 (*.f64 x x) #s(literal 3 binary64)))
(fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal -2 binary64)) (*.f64 (*.f64 x x) #s(literal 3 binary64)))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (neg.f64 x)) (neg.f64 x) (*.f64 (*.f64 #s(literal 3 binary64) x) x))
(fma.f64 (*.f64 #s(literal 3 binary64) (neg.f64 x)) (neg.f64 x) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) x))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) x (*.f64 (*.f64 #s(literal 3 binary64) x) x))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) x) (*.f64 (*.f64 x x) #s(literal 3 binary64)))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) x (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64)))) (*.f64 x x) (*.f64 (/.f64 #s(literal 27 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64)))) (*.f64 x x)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 x) x (pow.f64 x #s(literal 3/2 binary64))) (*.f64 (*.f64 x x) #s(literal 3 binary64)))
(fma.f64 (*.f64 (sqrt.f64 x) #s(literal -2 binary64)) (*.f64 (sqrt.f64 x) (*.f64 x x)) (*.f64 (*.f64 #s(literal 3 binary64) x) x))
(fma.f64 (*.f64 #s(literal 3 binary64) x) x (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) x))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) (*.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x x) #s(literal 3 binary64)))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -2 binary64)) (*.f64 x x)) (*.f64 (*.f64 #s(literal 3 binary64) x) x))
(fma.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 x x) (*.f64 (*.f64 #s(literal 3 binary64) x) x))
(fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 x x) #s(literal 3 binary64)))
(fma.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) x (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64)))) (*.f64 (*.f64 x x) (/.f64 #s(literal 27 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64))))))
(fma.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) x) (*.f64 (*.f64 x x) #s(literal 3 binary64)))
(fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 3 binary64) (*.f64 x x) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) x))
(fma.f64 x (*.f64 (*.f64 #s(literal 2 binary64) x) x) (*.f64 (*.f64 x x) #s(literal 3 binary64)))
(fma.f64 x (*.f64 #s(literal 3 binary64) x) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))
(-.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) x) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) x))
(-.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal 2 binary64) x)))
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) x (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64)))) (*.f64 x x)) (*.f64 (/.f64 #s(literal 27 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64)))) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) x (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64))))) (*.f64 (*.f64 x x) (/.f64 #s(literal 27 binary64) (fma.f64 #s(literal 2 binary64) x (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64))))))
(+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 x x) #s(literal 3 binary64)))
(+.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) x) (*.f64 (*.f64 #s(literal 3 binary64) x) x))
(+.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) x) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) x))
(+.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 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 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) (*.f64 #s(literal 9 binary64) (*.f64 x x))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) (*.f64 #s(literal 3 binary64) x)))
(/.f64 (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) (*.f64 (*.f64 #s(literal 2 binary64) x) x))) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) x))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) (*.f64 (*.f64 #s(literal 2 binary64) x) x) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) (*.f64 #s(literal 3 binary64) x)))))
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(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
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(fabs.f64 (*.f64 #s(literal 2 binary64) x))
(hypot.f64 (fabs.f64 (sqrt.f64 x)) (fabs.f64 (sqrt.f64 x)))
(hypot.f64 (fabs.f64 (sqrt.f64 x)) (sqrt.f64 (neg.f64 x)))
(hypot.f64 (fabs.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(hypot.f64 (fabs.f64 (sqrt.f64 x)) (sqrt.f64 x))
(hypot.f64 (sqrt.f64 (neg.f64 x)) (fabs.f64 (sqrt.f64 x)))
(hypot.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)))
(hypot.f64 (sqrt.f64 (neg.f64 x)) (neg.f64 (sqrt.f64 x)))
(hypot.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 x))
(hypot.f64 (neg.f64 (sqrt.f64 x)) (fabs.f64 (sqrt.f64 x)))
(hypot.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (neg.f64 x)))
(hypot.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))
(hypot.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))
(hypot.f64 (sqrt.f64 x) (fabs.f64 (sqrt.f64 x)))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 (neg.f64 x)))
(hypot.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 x))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 #s(literal 4 binary64) x)) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 (*.f64 #s(literal 4 binary64) x)) #s(literal 1/2 binary64) (*.f64 (log.f64 x) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))
(+.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))))
(+.f64 (*.f64 (sqrt.f64 x) (hypot.f64 x x)) (*.f64 (sqrt.f64 x) (hypot.f64 x x)))
(+.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(+.f64 (*.f64 (hypot.f64 x x) (sqrt.f64 x)) (*.f64 (hypot.f64 x x) (sqrt.f64 x)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(+.f64 (cosh.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) (*.f64 (*.f64 #s(literal 2 binary64) x) x))
(+.f64 (neg.f64 x) (neg.f64 x))
(+.f64 x x)
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (+.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 (sqrt.f64 x))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 x))
(*.f64 #s(literal -2 binary64) (neg.f64 (sqrt.f64 x)))
(pow.f64 (exp.f64 (log.f64 (*.f64 #s(literal 4 binary64) x))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (*.f64 #s(literal 4 binary64) x)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/2 binary64))
(/.f64 (fma.f64 (sqrt.f64 x) x (pow.f64 x #s(literal 3/2 binary64))) (+.f64 x #s(literal 0 binary64)))
(/.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 x) (sqrt.f64 x)))
(neg.f64 (*.f64 (sqrt.f64 x) #s(literal -2 binary64)))
(fma.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (sqrt.f64 x))
(fma.f64 (fabs.f64 (pow.f64 x #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 x #s(literal 1/4 binary64))) (sqrt.f64 x))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 x))
(sqrt.f64 (*.f64 #s(literal 4 binary64) x))
(-.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(hypot.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64))) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64))))
(hypot.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))))
(hypot.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64))) (*.f64 #s(literal 2 binary64) x))
(hypot.f64 (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64))))
(hypot.f64 (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))))
(hypot.f64 (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (*.f64 #s(literal 2 binary64) x))
(hypot.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64))))
(hypot.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))))
(hypot.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) x))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 4 binary64) x)) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (*.f64 #s(literal 4 binary64) x)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 (*.f64 #s(literal 4 binary64) x)) #s(literal 1/2 binary64))))
(+.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (neg.f64 (pow.f64 x #s(literal 1/4 binary64))) (neg.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64))))

eval201.0ms (2.5%)

Memory
0.4MiB live, 235.0MiB allocated
Compiler

Compiled 12 801 to 2 505 computations (80.4% saved)

prune31.0ms (0.4%)

Memory
-14.2MiB live, 92.6MiB allocated
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New7548762
Fresh606
Picked235
Done000
Total76211773
Accuracy
100.0%
Counts
773 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶68.8%
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 27 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64))))
▶99.7%
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64)) x) x) #s(literal 3 binary64))
87.7%
(-.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) x) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) x))
▶53.9%
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) x)
50.3%
(*.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -2 binary64)) (sqrt.f64 x) #s(literal 3 binary64)) x) x)
✓99.9%
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
▶66.4%
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
72.7%
(*.f64 (*.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) x)
✓99.8%
(*.f64 (*.f64 x x) (-.f64 (-.f64 #s(literal 3 binary64) x) x))
✓66.4%
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
▶72.7%
#s(approx (* (* (+ (* -2 x) 3) x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))
Compiler

Compiled 228 to 169 computations (25.9% saved)

simplify202.0ms (2.5%)

Memory
29.5MiB live, 351.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 x #s(literal 3 binary64))
cost-diff0
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
cost-diff0
#s(approx (* (* (+ (* -2 x) 3) x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))
cost-diff0
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 27 binary64)) x)
cost-diff0
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 27 binary64)) x) x)
cost-diff0
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 27 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64))))
cost-diff3
(fma.f64 #s(literal 2 binary64) x (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64)))
cost-diff0
(*.f64 #s(literal 2 binary64) x)
cost-diff0
(*.f64 (*.f64 #s(literal 2 binary64) x) x)
cost-diff0
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) x)
cost-diff2
(fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 2 binary64) x) x))
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
(fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64))
cost-diff0
(*.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64)) x)
cost-diff0
(*.f64 (*.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64)) x) x)
cost-diff2
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64)) x) x) #s(literal 3 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032166
051166
194160
2226160
3667159
41935159
55045159
08042150
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64)) x) x) #s(literal 3 binary64))
(*.f64 (*.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64)) x) x)
(*.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64)) x)
(fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64))
#s(literal -6 binary64)
x
#s(literal 9 binary64)
#s(literal 3 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 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) x)
(fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 2 binary64) x) x))
x
#s(literal 3 binary64)
(*.f64 (*.f64 #s(literal 2 binary64) x) x)
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 27 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64))))
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 27 binary64)) x) x)
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 27 binary64)) x)
(fma.f64 #s(literal 2 binary64) x #s(literal 27 binary64))
#s(literal 2 binary64)
x
#s(literal 27 binary64)
(fma.f64 #s(literal 2 binary64) x (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64)))
(fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64))
#s(literal -6 binary64)
#s(literal 9 binary64)
#s(approx (* (* (+ (* -2 x) 3) x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal -2 binary64)
Outputs
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64)) x) x) #s(literal 3 binary64))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(*.f64 (*.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64)) x) x)
(*.f64 (*.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 9 binary64)) x) x)
(*.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64)) x)
(*.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 9 binary64)) x)
(fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64))
(fma.f64 x #s(literal -6 binary64) #s(literal 9 binary64))
#s(literal -6 binary64)
x
#s(literal 9 binary64)
#s(literal 3 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 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) x)
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) (*.f64 x x))
(fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 2 binary64) x) x))
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) x)
x
#s(literal 3 binary64)
(*.f64 (*.f64 #s(literal 2 binary64) x) x)
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 27 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64))))
(*.f64 (/.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal -9 binary64))) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -27 binary64)) x))
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 27 binary64)) x) x)
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 27 binary64)) x)
(fma.f64 #s(literal 2 binary64) x #s(literal 27 binary64))
#s(literal 2 binary64)
x
#s(literal 27 binary64)
(fma.f64 #s(literal 2 binary64) x (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64)))
(fma.f64 #s(literal -4 binary64) x #s(literal 9 binary64))
(fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64))
(fma.f64 x #s(literal -6 binary64) #s(literal 9 binary64))
#s(literal -6 binary64)
#s(literal 9 binary64)
#s(approx (* (* (+ (* -2 x) 3) x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal -2 binary64)

localize144.0ms (1.8%)

Memory
4.5MiB live, 239.2MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(pow.f64 x #s(literal 3 binary64))
accuracy0.0
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
accuracy17.472982970244654
#s(approx (* (* (+ (* -2 x) 3) x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))
accuracy0.01953125
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 27 binary64)) x)
accuracy0.08984375
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 27 binary64)) x) x)
accuracy0.30859375
(fma.f64 #s(literal 2 binary64) x (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64)))
accuracy5.2585565251950985
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 27 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64))))
accuracy0.0
(*.f64 (*.f64 #s(literal 2 binary64) x) x)
accuracy0.0
(*.f64 #s(literal 2 binary64) x)
accuracy0.0390625
(fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 2 binary64) x) x))
accuracy0.078125
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) x)
accuracy0.078125
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
accuracy0.09375
(*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x)
accuracy28.57598122975758
#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
accuracy0.0
(fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64))
accuracy0.09765625
(*.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64)) x)
accuracy0.10546875
(*.f64 (*.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64)) x) x)
accuracy0.1328125
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64)) x) x) #s(literal 3 binary64))
Samples
69.0ms193×0valid
24.0ms38×1valid
15.0ms25×2valid
Compiler

Compiled 171 to 34 computations (80.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 64.0ms
ival-mult: 32.0ms (49.7% of total)
ival-add: 14.0ms (21.8% of total)
adjust: 7.0ms (10.9% of total)
ival-div: 5.0ms (7.8% of total)
ival-pow: 5.0ms (7.8% of total)
ival-sub: 2.0ms (3.1% of total)
exact: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series16.0ms (0.2%)

Memory
1.0MiB live, 46.6MiB allocated
Counts
18 → 54
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64)) x) x) #s(literal 3 binary64))
(*.f64 (*.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64)) x) x)
(*.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64)) x)
(fma.f64 #s(literal -6 binary64) x #s(literal 9 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))
(fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 2 binary64) x) x))
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) x)
(*.f64 (*.f64 #s(literal 2 binary64) x) x)
(*.f64 #s(literal 2 binary64) x)
(fma.f64 #s(literal 2 binary64) x (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64)))
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 27 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64))))
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 27 binary64)) x) x)
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 27 binary64)) x)
#s(approx (* (* (+ (* -2 x) 3) x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(pow.f64 x #s(literal 3 binary64))
Outputs
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* 9 (pow x 2))
(* (pow x 2) (+ 9 (* -6 x)))
(* 9 x)
(* x (+ 9 (* -6 x)))
9
(+ 9 (* -6 x))
(* 3 x)
(* x (+ 3 (* -2 x)))
3
(+ 3 (* -2 x))
(* x (+ 3 (* 2 x)))
(* (pow x 2) (+ 3 (* 2 x)))
(* 2 (pow x 2))
(* 2 x)
(+ 9 (* -4 x))
(* (pow x 2) (+ 3 (* 14/9 x)))
(* (pow x 2) (+ 3 (* x (+ 14/9 (* 56/81 x)))))
(* (pow x 2) (+ 3 (* x (+ 14/9 (* x (+ 56/81 (* 224/729 x)))))))
(* 27 (pow x 2))
(* (pow x 2) (+ 27 (* 2 x)))
(* 27 x)
(* x (+ 27 (* 2 x)))
(* -2 (pow x 3))
(pow x 3)
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -6 (pow x 3))
(* (pow x 3) (- (* 9 (/ 1 x)) 6))
(* -6 (pow x 2))
(* (pow x 2) (- (* 9 (/ 1 x)) 6))
(* -6 x)
(* x (- (* 9 (/ 1 x)) 6))
(* -2 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* -2 x)
(* x (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (+ 2 (* 3 (/ 1 x))))
(* 2 (pow x 3))
(* (pow x 3) (+ 2 (* 3 (/ 1 x))))
(* -4 x)
(* x (- (* 9 (/ 1 x)) 4))
(* -1/2 (pow x 2))
(* -1 (* (pow x 2) (+ 1/2 (* 63/8 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 63/8 (* 567/32 (/ 1 x))) x)) 1/2))
(* (pow x 2) (- (* -1 (/ (+ 567/32 (* 5103/128 (/ 1 x))) (pow x 2))) (+ 1/2 (* 63/8 (/ 1 x)))))
(* (pow x 3) (+ 2 (* 27 (/ 1 x))))
(* (pow x 2) (+ 2 (* 27 (/ 1 x))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 6 (* 9 (/ 1 x)))))
(* -1 (* x (- 6 (* 9 (/ 1 x)))))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 4 (* 9 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 63/8 (+ (* 567/32 (/ 1 x)) (/ 5103/128 (pow x 2)))) x)) 1/2))
Calls

3 calls:

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

simplify197.0ms (2.4%)

Memory
9.0MiB live, 195.6MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0123395
1415395
21211387
34028382
08427365
Stop Event
1×iter limit
1×node limit
Counts
54 → 54
Calls
Call 1
Inputs
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* 9 (pow x 2))
(* (pow x 2) (+ 9 (* -6 x)))
(* 9 x)
(* x (+ 9 (* -6 x)))
9
(+ 9 (* -6 x))
(* 3 x)
(* x (+ 3 (* -2 x)))
3
(+ 3 (* -2 x))
(* x (+ 3 (* 2 x)))
(* (pow x 2) (+ 3 (* 2 x)))
(* 2 (pow x 2))
(* 2 x)
(+ 9 (* -4 x))
(* (pow x 2) (+ 3 (* 14/9 x)))
(* (pow x 2) (+ 3 (* x (+ 14/9 (* 56/81 x)))))
(* (pow x 2) (+ 3 (* x (+ 14/9 (* x (+ 56/81 (* 224/729 x)))))))
(* 27 (pow x 2))
(* (pow x 2) (+ 27 (* 2 x)))
(* 27 x)
(* x (+ 27 (* 2 x)))
(* -2 (pow x 3))
(pow x 3)
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -6 (pow x 3))
(* (pow x 3) (- (* 9 (/ 1 x)) 6))
(* -6 (pow x 2))
(* (pow x 2) (- (* 9 (/ 1 x)) 6))
(* -6 x)
(* x (- (* 9 (/ 1 x)) 6))
(* -2 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* -2 x)
(* x (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (+ 2 (* 3 (/ 1 x))))
(* 2 (pow x 3))
(* (pow x 3) (+ 2 (* 3 (/ 1 x))))
(* -4 x)
(* x (- (* 9 (/ 1 x)) 4))
(* -1/2 (pow x 2))
(* -1 (* (pow x 2) (+ 1/2 (* 63/8 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 63/8 (* 567/32 (/ 1 x))) x)) 1/2))
(* (pow x 2) (- (* -1 (/ (+ 567/32 (* 5103/128 (/ 1 x))) (pow x 2))) (+ 1/2 (* 63/8 (/ 1 x)))))
(* (pow x 3) (+ 2 (* 27 (/ 1 x))))
(* (pow x 2) (+ 2 (* 27 (/ 1 x))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 6 (* 9 (/ 1 x)))))
(* -1 (* x (- 6 (* 9 (/ 1 x)))))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 4 (* 9 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 63/8 (+ (* 567/32 (/ 1 x)) (/ 5103/128 (pow x 2)))) x)) 1/2))
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)
(* 9 (pow x 2))
(*.f64 #s(literal 9 binary64) (*.f64 x x))
(* (pow x 2) (+ 9 (* -6 x)))
(*.f64 (*.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64)) x) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* x (+ 9 (* -6 x)))
(*.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64)) x)
9
#s(literal 9 binary64)
(+ 9 (* -6 x))
(fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64))
(* 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))
(* x (+ 3 (* 2 x)))
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) x)
(* (pow x 2) (+ 3 (* 2 x)))
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) x) x)
(* 2 (pow x 2))
(*.f64 (*.f64 #s(literal 2 binary64) x) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(+ 9 (* -4 x))
(fma.f64 #s(literal -4 binary64) x #s(literal 9 binary64))
(* (pow x 2) (+ 3 (* 14/9 x)))
(*.f64 (*.f64 (fma.f64 #s(literal 14/9 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* x (+ 14/9 (* 56/81 x)))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 56/81 binary64) x #s(literal 14/9 binary64)) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* x (+ 14/9 (* x (+ 56/81 (* 224/729 x)))))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 224/729 binary64) x #s(literal 56/81 binary64)) x #s(literal 14/9 binary64)) x #s(literal 3 binary64)) x) x)
(* 27 (pow x 2))
(*.f64 #s(literal 27 binary64) (*.f64 x x))
(* (pow x 2) (+ 27 (* 2 x)))
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 27 binary64)) x) x)
(* 27 x)
(*.f64 #s(literal 27 binary64) x)
(* x (+ 27 (* 2 x)))
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 27 binary64)) x)
(* -2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6 binary64))
(* (pow x 3) (- (* 9 (/ 1 x)) 6))
(*.f64 (-.f64 (/.f64 #s(literal 9 binary64) x) #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -6 (pow x 2))
(*.f64 #s(literal -6 binary64) (*.f64 x x))
(* (pow x 2) (- (* 9 (/ 1 x)) 6))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 9 binary64) x) #s(literal 6 binary64)) x) x)
(* -6 x)
(*.f64 #s(literal -6 binary64) x)
(* x (- (* 9 (/ 1 x)) 6))
(*.f64 (-.f64 (/.f64 #s(literal 9 binary64) x) #s(literal 6 binary64)) x)
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) x) 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)
(* (pow x 2) (+ 2 (* 3 (/ 1 x))))
(*.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) (+ 2 (* 3 (/ 1 x))))
(*.f64 (+.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -4 x)
(*.f64 #s(literal -4 binary64) x)
(* x (- (* 9 (/ 1 x)) 4))
(*.f64 (-.f64 (/.f64 #s(literal 9 binary64) x) #s(literal 4 binary64)) x)
(* -1/2 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(* -1 (* (pow x 2) (+ 1/2 (* 63/8 (/ 1 x)))))
(*.f64 (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 63/8 binary64) x)) x) x)
(* (pow x 2) (- (* -1 (/ (+ 63/8 (* 567/32 (/ 1 x))) x)) 1/2))
(*.f64 (*.f64 (-.f64 (/.f64 (-.f64 #s(literal -63/8 binary64) (/.f64 #s(literal 567/32 binary64) x)) x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (- (* -1 (/ (+ 567/32 (* 5103/128 (/ 1 x))) (pow x 2))) (+ 1/2 (* 63/8 (/ 1 x)))))
(*.f64 (*.f64 (-.f64 (/.f64 (-.f64 #s(literal -63/8 binary64) (/.f64 (+.f64 (/.f64 #s(literal 5103/128 binary64) x) #s(literal 567/32 binary64)) x)) x) #s(literal 1/2 binary64)) x) x)
(* (pow x 3) (+ 2 (* 27 (/ 1 x))))
(*.f64 (+.f64 (/.f64 #s(literal 27 binary64) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 2) (+ 2 (* 27 (/ 1 x))))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 27 binary64) x) #s(literal 2 binary64)) x) x)
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (+.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- 6 (* 9 (/ 1 x)))))
(*.f64 (+.f64 (/.f64 #s(literal 9 binary64) x) #s(literal -6 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* x (- 6 (* 9 (/ 1 x)))))
(*.f64 (+.f64 (/.f64 #s(literal 9 binary64) x) #s(literal -6 binary64)) x)
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(*.f64 (+.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -2 binary64)) x)
(* -1 (* x (- 4 (* 9 (/ 1 x)))))
(*.f64 (+.f64 (/.f64 #s(literal 9 binary64) x) #s(literal -4 binary64)) x)
(* (pow x 2) (- (* -1 (/ (+ 63/8 (+ (* 567/32 (/ 1 x)) (/ 5103/128 (pow x 2)))) x)) 1/2))
(*.f64 (*.f64 (-.f64 (/.f64 (-.f64 #s(literal -63/8 binary64) (/.f64 (+.f64 (/.f64 #s(literal 5103/128 binary64) x) #s(literal 567/32 binary64)) x)) x) #s(literal 1/2 binary64)) x) x)

rewrite238.0ms (3%)

Memory
-5.0MiB live, 376.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032141
051141
1184135
21158135
08384127
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
18 → 492
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64)) x) x) #s(literal 3 binary64))
(*.f64 (*.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64)) x) x)
(*.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64)) x)
(fma.f64 #s(literal -6 binary64) x #s(literal 9 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))
(fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 2 binary64) x) x))
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) x)
(*.f64 (*.f64 #s(literal 2 binary64) x) x)
(*.f64 #s(literal 2 binary64) x)
(fma.f64 #s(literal 2 binary64) x (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64)))
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 27 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64))))
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 27 binary64)) x) x)
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 27 binary64)) x)
#s(approx (* (* (+ (* -2 x) 3) x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(pow.f64 x #s(literal 3 binary64))
Outputs
(*.f64 (/.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 9 binary64)) x))
(*.f64 (*.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 9 binary64)) x) (/.f64 x #s(literal 3 binary64)))
(*.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 9 binary64)) (/.f64 (*.f64 x x) #s(literal 3 binary64)))
(*.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 9 binary64)) (*.f64 x (/.f64 x #s(literal 3 binary64))))
(*.f64 x (/.f64 (*.f64 (fma.f64 #s(literal 6 binary64) x #s(literal -9 binary64)) x) #s(literal -3 binary64)))
(*.f64 x (*.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 9 binary64)) (/.f64 x #s(literal 3 binary64))))
(/.f64 (*.f64 (neg.f64 x) (*.f64 (-.f64 (*.f64 #s(literal 36 binary64) (*.f64 x x)) #s(literal 81 binary64)) x)) (*.f64 #s(literal -3 binary64) (-.f64 (*.f64 x #s(literal -6 binary64)) #s(literal 9 binary64))))
(/.f64 (*.f64 (neg.f64 x) (*.f64 (fma.f64 #s(literal 216 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 729 binary64)) x)) (*.f64 #s(literal -3 binary64) (fma.f64 #s(literal 36 binary64) (*.f64 x x) (-.f64 #s(literal 81 binary64) (*.f64 x #s(literal -54 binary64))))))
(/.f64 (*.f64 (neg.f64 x) (*.f64 x (-.f64 (*.f64 #s(literal 36 binary64) (*.f64 x x)) #s(literal 81 binary64)))) (*.f64 #s(literal -3 binary64) (-.f64 (*.f64 x #s(literal -6 binary64)) #s(literal 9 binary64))))
(/.f64 (*.f64 (neg.f64 x) (*.f64 x (fma.f64 #s(literal 216 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 729 binary64)))) (*.f64 #s(literal -3 binary64) (fma.f64 #s(literal 36 binary64) (*.f64 x x) (-.f64 #s(literal 81 binary64) (*.f64 x #s(literal -54 binary64))))))
(/.f64 (*.f64 x (*.f64 (-.f64 (*.f64 #s(literal 36 binary64) (*.f64 x x)) #s(literal 81 binary64)) x)) (*.f64 #s(literal 3 binary64) (-.f64 (*.f64 x #s(literal -6 binary64)) #s(literal 9 binary64))))
(/.f64 (*.f64 x (*.f64 (fma.f64 #s(literal 216 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 729 binary64)) x)) (*.f64 #s(literal 3 binary64) (fma.f64 #s(literal 36 binary64) (*.f64 x x) (-.f64 #s(literal 81 binary64) (*.f64 x #s(literal -54 binary64))))))
(/.f64 (*.f64 x (*.f64 x (-.f64 (*.f64 #s(literal 36 binary64) (*.f64 x x)) #s(literal 81 binary64)))) (*.f64 #s(literal 3 binary64) (-.f64 (*.f64 x #s(literal -6 binary64)) #s(literal 9 binary64))))
(/.f64 (*.f64 x (*.f64 x (fma.f64 #s(literal 216 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 729 binary64)))) (*.f64 #s(literal 3 binary64) (fma.f64 #s(literal 36 binary64) (*.f64 x x) (-.f64 #s(literal 81 binary64) (*.f64 x #s(literal -54 binary64))))))
(/.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 36 binary64) (*.f64 x x)) #s(literal 81 binary64)) x) (neg.f64 x)) (*.f64 (-.f64 (*.f64 x #s(literal -6 binary64)) #s(literal 9 binary64)) #s(literal -3 binary64)))
(/.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 36 binary64) (*.f64 x x)) #s(literal 81 binary64)) x) x) (*.f64 (-.f64 (*.f64 x #s(literal -6 binary64)) #s(literal 9 binary64)) #s(literal 3 binary64)))
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 216 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 729 binary64)) x) (neg.f64 x)) (*.f64 (fma.f64 #s(literal 36 binary64) (*.f64 x x) (-.f64 #s(literal 81 binary64) (*.f64 x #s(literal -54 binary64)))) #s(literal -3 binary64)))
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 216 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 729 binary64)) x) x) (*.f64 (fma.f64 #s(literal 36 binary64) (*.f64 x x) (-.f64 #s(literal 81 binary64) (*.f64 x #s(literal -54 binary64)))) #s(literal 3 binary64)))
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(*.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) x)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -2 binary64)))
(*.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) x))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(*.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 x x))
(*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(neg.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) x)))
(neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 x x)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 3/2 binary64)) (pow.f64 (fabs.f64 x) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (*.f64 x x) x)
(*.f64 x (*.f64 x x))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 x))
(pow.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))))) (-.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (-.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))) (*.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))))))
(neg.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))))
(neg.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))))
(fabs.f64 (pow.f64 x #s(literal 3 binary64)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 3/2 binary64) (*.f64 (log.f64 x) #s(literal 3/2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))))

eval201.0ms (2.5%)

Memory
-32.5MiB live, 220.6MiB allocated
Compiler

Compiled 15 694 to 2 116 computations (86.5% saved)

prune33.0ms (0.4%)

Memory
-11.4MiB live, 47.9MiB allocated
Pruning

14 alts after pruning (9 fresh and 5 done)

PrunedKeptTotal
New5807587
Fresh123
Picked325
Done033
Total58414598
Accuracy
100.0%
Counts
598 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶68.8%
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 27 binary64)) x) x) (fma.f64 x #s(literal -4 binary64) #s(literal 9 binary64)))
✓99.7%
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64)) x) x) #s(literal 3 binary64))
▶72.6%
(/.f64 (*.f64 (*.f64 #s(approx (+ (* -6 x) 9) (*.f64 #s(literal -6 binary64) x)) x) x) #s(literal 3 binary64))
66.4%
(/.f64 (*.f64 (*.f64 #s(approx (+ (* -6 x) 9) #s(literal 9 binary64)) x) x) #s(literal 3 binary64))
87.7%
(-.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) x) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) x))
▶53.9%
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (+.f64 x x) x)) x)
▶99.7%
(*.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 9 binary64)) (*.f64 x (/.f64 x #s(literal 3 binary64))))
50.3%
(*.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -2 binary64)) (sqrt.f64 x) #s(literal 3 binary64)) x) x)
✓99.9%
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
72.7%
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x) x)
✓66.4%
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
✓99.8%
(*.f64 (*.f64 x x) (-.f64 (-.f64 #s(literal 3 binary64) x) x))
✓66.4%
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
▶40.4%
#s(approx (/ (* (* (+ (* 2 x) 27) x) x) (+ (* 2 x) (+ (* -6 x) 9))) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
Compiler

Compiled 297 to 220 computations (25.9% saved)

simplify140.0ms (1.7%)

Memory
21.2MiB live, 146.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 #s(literal 2 binary64) x #s(literal 27 binary64))
cost-diff0
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 27 binary64)) x)
cost-diff0
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 27 binary64)) x) x)
cost-diff0
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 27 binary64)) x) x) (fma.f64 x #s(literal -4 binary64) #s(literal 9 binary64)))
cost-diff0
#s(approx (+ (* -6 x) 9) (*.f64 #s(literal -6 binary64) x))
cost-diff0
(*.f64 #s(approx (+ (* -6 x) 9) (*.f64 #s(literal -6 binary64) x)) x)
cost-diff0
(*.f64 (*.f64 #s(approx (+ (* -6 x) 9) (*.f64 #s(literal -6 binary64) x)) x) x)
cost-diff0
(/.f64 (*.f64 (*.f64 #s(approx (+ (* -6 x) 9) (*.f64 #s(literal -6 binary64) x)) x) x) #s(literal 3 binary64))
cost-diff0
(+.f64 x x)
cost-diff0
(*.f64 (+.f64 x x) x)
cost-diff0
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (+.f64 x x) x)) x)
cost-diff2
(fma.f64 x #s(literal 3 binary64) (*.f64 (+.f64 x x) x))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
cost-diff0
#s(approx (/ (* (* (+ (* 2 x) 27) x) x) (+ (* 2 x) (+ (* -6 x) 9))) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
cost-diff0
(/.f64 x #s(literal 3 binary64))
cost-diff0
(*.f64 x (/.f64 x #s(literal 3 binary64)))
cost-diff0
(fma.f64 x #s(literal -6 binary64) #s(literal 9 binary64))
cost-diff2
(*.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 9 binary64)) (*.f64 x (/.f64 x #s(literal 3 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037182
059177
1106171
2271171
3766171
42328170
55143170
08170167
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 9 binary64)) (*.f64 x (/.f64 x #s(literal 3 binary64))))
(fma.f64 x #s(literal -6 binary64) #s(literal 9 binary64))
x
#s(literal -6 binary64)
#s(literal 9 binary64)
(*.f64 x (/.f64 x #s(literal 3 binary64)))
(/.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (/ (* (* (+ (* 2 x) 27) x) x) (+ (* 2 x) (+ (* -6 x) 9))) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
#s(literal -1/2 binary64)
(*.f64 x x)
x
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (+.f64 x x) x)) x)
(fma.f64 x #s(literal 3 binary64) (*.f64 (+.f64 x x) x))
x
#s(literal 3 binary64)
(*.f64 (+.f64 x x) x)
(+.f64 x x)
(/.f64 (*.f64 (*.f64 #s(approx (+ (* -6 x) 9) (*.f64 #s(literal -6 binary64) x)) x) x) #s(literal 3 binary64))
(*.f64 (*.f64 #s(approx (+ (* -6 x) 9) (*.f64 #s(literal -6 binary64) x)) x) x)
(*.f64 #s(approx (+ (* -6 x) 9) (*.f64 #s(literal -6 binary64) x)) x)
#s(approx (+ (* -6 x) 9) (*.f64 #s(literal -6 binary64) x))
(*.f64 #s(literal -6 binary64) x)
#s(literal -6 binary64)
x
#s(literal 3 binary64)
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 27 binary64)) x) x) (fma.f64 x #s(literal -4 binary64) #s(literal 9 binary64)))
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 27 binary64)) x) x)
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 27 binary64)) x)
(fma.f64 #s(literal 2 binary64) x #s(literal 27 binary64))
#s(literal 2 binary64)
x
#s(literal 27 binary64)
(fma.f64 x #s(literal -4 binary64) #s(literal 9 binary64))
#s(literal -4 binary64)
#s(literal 9 binary64)
Outputs
(*.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 9 binary64)) (*.f64 x (/.f64 x #s(literal 3 binary64))))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x))
(fma.f64 x #s(literal -6 binary64) #s(literal 9 binary64))
(fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64))
x
#s(literal -6 binary64)
#s(literal 9 binary64)
(*.f64 x (/.f64 x #s(literal 3 binary64)))
(*.f64 (/.f64 x #s(literal 3 binary64)) x)
(/.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (/ (* (* (+ (* 2 x) 27) x) x) (+ (* 2 x) (+ (* -6 x) 9))) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
#s(approx (/ (* (* (+ (* 2 x) 27) x) x) (+ (* 2 x) (+ (* -6 x) 9))) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 x x)
x
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (+.f64 x x) x)) x)
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) (*.f64 x x))
(fma.f64 x #s(literal 3 binary64) (*.f64 (+.f64 x x) x))
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) x)
x
#s(literal 3 binary64)
(*.f64 (+.f64 x x) x)
(*.f64 (*.f64 #s(literal 2 binary64) x) x)
(+.f64 x x)
(*.f64 #s(literal 2 binary64) x)
(/.f64 (*.f64 (*.f64 #s(approx (+ (* -6 x) 9) (*.f64 #s(literal -6 binary64) x)) x) x) #s(literal 3 binary64))
(*.f64 #s(approx (+ (* -6 x) 9) (*.f64 #s(literal -6 binary64) x)) (*.f64 (/.f64 x #s(literal 3 binary64)) x))
(*.f64 (*.f64 #s(approx (+ (* -6 x) 9) (*.f64 #s(literal -6 binary64) x)) x) x)
(*.f64 #s(approx (+ (* -6 x) 9) (*.f64 #s(literal -6 binary64) x)) (*.f64 x x))
(*.f64 #s(approx (+ (* -6 x) 9) (*.f64 #s(literal -6 binary64) x)) x)
#s(approx (+ (* -6 x) 9) (*.f64 #s(literal -6 binary64) x))
(*.f64 #s(literal -6 binary64) x)
#s(literal -6 binary64)
x
#s(literal 3 binary64)
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 27 binary64)) x) x) (fma.f64 x #s(literal -4 binary64) #s(literal 9 binary64)))
(*.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -4 binary64) x #s(literal 9 binary64))) x) (fma.f64 #s(literal 2 binary64) x #s(literal 27 binary64)))
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 27 binary64)) x) x)
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 27 binary64)) x)
(fma.f64 #s(literal 2 binary64) x #s(literal 27 binary64))
#s(literal 2 binary64)
x
#s(literal 27 binary64)
(fma.f64 x #s(literal -4 binary64) #s(literal 9 binary64))
(fma.f64 #s(literal -4 binary64) x #s(literal 9 binary64))
#s(literal -4 binary64)
#s(literal 9 binary64)

localize109.0ms (1.4%)

Memory
27.1MiB live, 220.2MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fma.f64 #s(literal 2 binary64) x #s(literal 27 binary64))
accuracy0.01953125
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 27 binary64)) x)
accuracy0.08984375
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 27 binary64)) x) x)
accuracy5.2585565251950985
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 27 binary64)) x) x) (fma.f64 x #s(literal -4 binary64) #s(literal 9 binary64)))
accuracy0.09765625
(*.f64 #s(approx (+ (* -6 x) 9) (*.f64 #s(literal -6 binary64) x)) x)
accuracy0.10546875
(*.f64 (*.f64 #s(approx (+ (* -6 x) 9) (*.f64 #s(literal -6 binary64) x)) x) x)
accuracy0.1328125
(/.f64 (*.f64 (*.f64 #s(approx (+ (* -6 x) 9) (*.f64 #s(literal -6 binary64) x)) x) x) #s(literal 3 binary64))
accuracy34.22490614860333
#s(approx (+ (* -6 x) 9) (*.f64 #s(literal -6 binary64) x))
accuracy0.0
(+.f64 x x)
accuracy0.0
(*.f64 (+.f64 x x) x)
accuracy0.0390625
(fma.f64 x #s(literal 3 binary64) (*.f64 (+.f64 x x) x))
accuracy0.078125
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (+.f64 x x) x)) x)
accuracy0.0
(*.f64 x x)
accuracy0.0078125
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
accuracy18.08655549815072
#s(approx (/ (* (* (+ (* 2 x) 27) x) x) (+ (* 2 x) (+ (* -6 x) 9))) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
accuracy0.0
(fma.f64 x #s(literal -6 binary64) #s(literal 9 binary64))
accuracy0.0
(/.f64 x #s(literal 3 binary64))
accuracy0.1171875
(*.f64 x (/.f64 x #s(literal 3 binary64)))
accuracy0.18035126953688402
(*.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 9 binary64)) (*.f64 x (/.f64 x #s(literal 3 binary64))))
Samples
68.0ms213×0valid
15.0ms28×1valid
7.0ms15×2valid
Compiler

Compiled 173 to 36 computations (79.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-mult: 25.0ms (47.5% of total)
ival-add: 17.0ms (32.3% of total)
ival-div: 7.0ms (13.3% of total)
adjust: 3.0ms (5.7% of total)
exact: 1.0ms (1.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series17.0ms (0.2%)

Memory
-36.7MiB live, 18.3MiB allocated
Counts
19 → 47
Calls
Call 1
Inputs
(*.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 9 binary64)) (*.f64 x (/.f64 x #s(literal 3 binary64))))
(fma.f64 x #s(literal -6 binary64) #s(literal 9 binary64))
(*.f64 x (/.f64 x #s(literal 3 binary64)))
(/.f64 x #s(literal 3 binary64))
#s(approx (/ (* (* (+ (* 2 x) 27) x) x) (+ (* 2 x) (+ (* -6 x) 9))) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(*.f64 x x)
(fma.f64 x #s(literal 3 binary64) (*.f64 (+.f64 x x) x))
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (+.f64 x x) x)) x)
(*.f64 (+.f64 x x) x)
(+.f64 x x)
(/.f64 (*.f64 (*.f64 #s(approx (+ (* -6 x) 9) (*.f64 #s(literal -6 binary64) x)) x) x) #s(literal 3 binary64))
(*.f64 (*.f64 #s(approx (+ (* -6 x) 9) (*.f64 #s(literal -6 binary64) x)) x) x)
(*.f64 #s(approx (+ (* -6 x) 9) (*.f64 #s(literal -6 binary64) x)) x)
#s(approx (+ (* -6 x) 9) (*.f64 #s(literal -6 binary64) x))
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 27 binary64)) x) x) (fma.f64 x #s(literal -4 binary64) #s(literal 9 binary64)))
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 27 binary64)) x) x)
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 27 binary64)) x)
(fma.f64 #s(literal 2 binary64) x #s(literal 27 binary64))
Outputs
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
9
(+ 9 (* -6 x))
(* 1/3 (pow x 2))
(* 1/3 x)
(* (pow x 2) (+ 3 (* 14/9 x)))
(* (pow x 2) (+ 3 (* x (+ 14/9 (* 56/81 x)))))
(* (pow x 2) (+ 3 (* x (+ 14/9 (* x (+ 56/81 (* 224/729 x)))))))
(* -1/2 (pow x 2))
(pow x 2)
(* 3 x)
(* x (+ 3 (* 2 x)))
(* (pow x 2) (+ 3 (* 2 x)))
(* 2 (pow x 2))
(* 2 x)
(* 9 (pow x 2))
(* (pow x 2) (+ 9 (* -6 x)))
(* 9 x)
(* x (+ 9 (* -6 x)))
(* 27 (pow x 2))
(* (pow x 2) (+ 27 (* 2 x)))
(* 27 x)
(* x (+ 27 (* 2 x)))
27
(+ 27 (* 2 x))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -6 x)
(* x (- (* 9 (/ 1 x)) 6))
(* -1 (* (pow x 2) (+ 1/2 (* 63/8 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 63/8 (* 567/32 (/ 1 x))) x)) 1/2))
(* (pow x 2) (- (* -1 (/ (+ 567/32 (* 5103/128 (/ 1 x))) (pow x 2))) (+ 1/2 (* 63/8 (/ 1 x)))))
(* (pow x 2) (+ 2 (* 3 (/ 1 x))))
(* 2 (pow x 3))
(* (pow x 3) (+ 2 (* 3 (/ 1 x))))
(* -6 (pow x 3))
(* (pow x 3) (- (* 9 (/ 1 x)) 6))
(* -6 (pow x 2))
(* (pow x 2) (- (* 9 (/ 1 x)) 6))
(* (pow x 3) (+ 2 (* 27 (/ 1 x))))
(* (pow x 2) (+ 2 (* 27 (/ 1 x))))
(* x (+ 2 (* 27 (/ 1 x))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 6 (* 9 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 63/8 (+ (* 567/32 (/ 1 x)) (/ 5103/128 (pow x 2)))) x)) 1/2))
(* -1 (* (pow x 3) (- 6 (* 9 (/ 1 x)))))
Calls

3 calls:

TimeVariablePointExpression
11.0ms
x
@-inf
((* (+ (* x -6) 9) (* x (/ x 3))) (+ (* x -6) 9) (* x (/ x 3)) (/ x 3) (/ (* (* (+ (* 2 x) 27) x) x) (+ (* 2 x) (+ (* -6 x) 9))) (* -1/2 (* x x)) (* x x) (+ (* x 3) (* (+ x x) x)) (* (+ (* x 3) (* (+ x x) x)) x) (* (+ x x) x) (+ x x) (/ (* (* (+ (* -6 x) 9) x) x) 3) (* (* (+ (* -6 x) 9) x) x) (* (+ (* -6 x) 9) x) (+ (* -6 x) 9) (/ (* (* (+ (* 2 x) 27) x) x) (+ (* x -4) 9)) (* (* (+ (* 2 x) 27) x) x) (* (+ (* 2 x) 27) x) (+ (* 2 x) 27))
3.0ms
x
@inf
((* (+ (* x -6) 9) (* x (/ x 3))) (+ (* x -6) 9) (* x (/ x 3)) (/ x 3) (/ (* (* (+ (* 2 x) 27) x) x) (+ (* 2 x) (+ (* -6 x) 9))) (* -1/2 (* x x)) (* x x) (+ (* x 3) (* (+ x x) x)) (* (+ (* x 3) (* (+ x x) x)) x) (* (+ x x) x) (+ x x) (/ (* (* (+ (* -6 x) 9) x) x) 3) (* (* (+ (* -6 x) 9) x) x) (* (+ (* -6 x) 9) x) (+ (* -6 x) 9) (/ (* (* (+ (* 2 x) 27) x) x) (+ (* x -4) 9)) (* (* (+ (* 2 x) 27) x) x) (* (+ (* 2 x) 27) x) (+ (* 2 x) 27))
2.0ms
x
@0
((* (+ (* x -6) 9) (* x (/ x 3))) (+ (* x -6) 9) (* x (/ x 3)) (/ x 3) (/ (* (* (+ (* 2 x) 27) x) x) (+ (* 2 x) (+ (* -6 x) 9))) (* -1/2 (* x x)) (* x x) (+ (* x 3) (* (+ x x) x)) (* (+ (* x 3) (* (+ x x) x)) x) (* (+ x x) x) (+ x x) (/ (* (* (+ (* -6 x) 9) x) x) 3) (* (* (+ (* -6 x) 9) x) x) (* (+ (* -6 x) 9) x) (+ (* -6 x) 9) (/ (* (* (+ (* 2 x) 27) x) x) (+ (* x -4) 9)) (* (* (+ (* 2 x) 27) x) x) (* (+ (* 2 x) 27) x) (+ (* 2 x) 27))

simplify200.0ms (2.5%)

Memory
18.2MiB live, 252.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0112337
1388337
21166328
33928327
08072299
Stop Event
1×iter limit
1×node limit
Counts
47 → 47
Calls
Call 1
Inputs
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
9
(+ 9 (* -6 x))
(* 1/3 (pow x 2))
(* 1/3 x)
(* (pow x 2) (+ 3 (* 14/9 x)))
(* (pow x 2) (+ 3 (* x (+ 14/9 (* 56/81 x)))))
(* (pow x 2) (+ 3 (* x (+ 14/9 (* x (+ 56/81 (* 224/729 x)))))))
(* -1/2 (pow x 2))
(pow x 2)
(* 3 x)
(* x (+ 3 (* 2 x)))
(* (pow x 2) (+ 3 (* 2 x)))
(* 2 (pow x 2))
(* 2 x)
(* 9 (pow x 2))
(* (pow x 2) (+ 9 (* -6 x)))
(* 9 x)
(* x (+ 9 (* -6 x)))
(* 27 (pow x 2))
(* (pow x 2) (+ 27 (* 2 x)))
(* 27 x)
(* x (+ 27 (* 2 x)))
27
(+ 27 (* 2 x))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -6 x)
(* x (- (* 9 (/ 1 x)) 6))
(* -1 (* (pow x 2) (+ 1/2 (* 63/8 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 63/8 (* 567/32 (/ 1 x))) x)) 1/2))
(* (pow x 2) (- (* -1 (/ (+ 567/32 (* 5103/128 (/ 1 x))) (pow x 2))) (+ 1/2 (* 63/8 (/ 1 x)))))
(* (pow x 2) (+ 2 (* 3 (/ 1 x))))
(* 2 (pow x 3))
(* (pow x 3) (+ 2 (* 3 (/ 1 x))))
(* -6 (pow x 3))
(* (pow x 3) (- (* 9 (/ 1 x)) 6))
(* -6 (pow x 2))
(* (pow x 2) (- (* 9 (/ 1 x)) 6))
(* (pow x 3) (+ 2 (* 27 (/ 1 x))))
(* (pow x 2) (+ 2 (* 27 (/ 1 x))))
(* x (+ 2 (* 27 (/ 1 x))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 6 (* 9 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 63/8 (+ (* 567/32 (/ 1 x)) (/ 5103/128 (pow x 2)))) x)) 1/2))
(* -1 (* (pow x 3) (- 6 (* 9 (/ 1 x)))))
Outputs
(* 3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 3 binary64))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x))
9
#s(literal 9 binary64)
(+ 9 (* -6 x))
(fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64))
(* 1/3 (pow x 2))
(*.f64 #s(literal 1/3 binary64) (*.f64 x x))
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* (pow x 2) (+ 3 (* 14/9 x)))
(*.f64 (*.f64 (fma.f64 #s(literal 14/9 binary64) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* x (+ 14/9 (* 56/81 x)))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 56/81 binary64) x #s(literal 14/9 binary64)) x #s(literal 3 binary64)) x) x)
(* (pow x 2) (+ 3 (* x (+ 14/9 (* x (+ 56/81 (* 224/729 x)))))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 224/729 binary64) x #s(literal 56/81 binary64)) x #s(literal 14/9 binary64)) x #s(literal 3 binary64)) x) x)
(* -1/2 (pow x 2))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (* 2 x)))
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) x)
(* (pow x 2) (+ 3 (* 2 x)))
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) (*.f64 x x))
(* 2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 9 binary64))
(* (pow x 2) (+ 9 (* -6 x)))
(*.f64 (*.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64)) x) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* x (+ 9 (* -6 x)))
(*.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64)) x)
(* 27 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 27 binary64))
(* (pow x 2) (+ 27 (* 2 x)))
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 27 binary64)) x) x)
(* 27 x)
(*.f64 #s(literal 27 binary64) x)
(* x (+ 27 (* 2 x)))
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 27 binary64)) x)
27
#s(literal 27 binary64)
(+ 27 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 27 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 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x))
(* -6 x)
(*.f64 #s(literal -6 binary64) x)
(* x (- (* 9 (/ 1 x)) 6))
(*.f64 (-.f64 (/.f64 #s(literal 9 binary64) x) #s(literal 6 binary64)) x)
(* -1 (* (pow x 2) (+ 1/2 (* 63/8 (/ 1 x)))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -63/8 binary64)) x)
(* (pow x 2) (- (* -1 (/ (+ 63/8 (* 567/32 (/ 1 x))) x)) 1/2))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -63/8 binary64) (/.f64 #s(literal 567/32 binary64) x)) x) #s(literal 1/2 binary64)) (*.f64 x x))
(* (pow x 2) (- (* -1 (/ (+ 567/32 (* 5103/128 (/ 1 x))) (pow x 2))) (+ 1/2 (* 63/8 (/ 1 x)))))
(*.f64 (fma.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -567/32 binary64) (/.f64 #s(literal 5103/128 binary64) x)) x) x) #s(literal 1/2 binary64)) x #s(literal -63/8 binary64)) x)
(* (pow x 2) (+ 2 (* 3 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) x)
(* 2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))
(* (pow x 3) (+ 2 (* 3 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) (*.f64 x x))
(* -6 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6 binary64))
(* (pow x 3) (- (* 9 (/ 1 x)) 6))
(*.f64 (*.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64)) x) x)
(* -6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -6 binary64))
(* (pow x 2) (- (* 9 (/ 1 x)) 6))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 9 binary64) x) #s(literal 6 binary64)) x) x)
(* (pow x 3) (+ 2 (* 27 (/ 1 x))))
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 27 binary64)) x) x)
(* (pow x 2) (+ 2 (* 27 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 27 binary64)) x)
(* x (+ 2 (* 27 (/ 1 x))))
(fma.f64 #s(literal 2 binary64) x #s(literal 27 binary64))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x))
(* -1 (* x (- 6 (* 9 (/ 1 x)))))
(fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64))
(* (pow x 2) (- (* -1 (/ (+ 63/8 (+ (* 567/32 (/ 1 x)) (/ 5103/128 (pow x 2)))) x)) 1/2))
(*.f64 (fma.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -567/32 binary64) (/.f64 #s(literal 5103/128 binary64) x)) x) x) #s(literal 1/2 binary64)) x #s(literal -63/8 binary64)) x)
(* -1 (* (pow x 3) (- 6 (* 9 (/ 1 x)))))
(*.f64 (*.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64)) x) x)

rewrite350.0ms (4.3%)

Memory
1.3MiB live, 520.4MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037159
059152
1197144
21468144
08209144
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
19 → 2 535
Calls
Call 1
Inputs
(*.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 9 binary64)) (*.f64 x (/.f64 x #s(literal 3 binary64))))
(fma.f64 x #s(literal -6 binary64) #s(literal 9 binary64))
(*.f64 x (/.f64 x #s(literal 3 binary64)))
(/.f64 x #s(literal 3 binary64))
#s(approx (/ (* (* (+ (* 2 x) 27) x) x) (+ (* 2 x) (+ (* -6 x) 9))) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(*.f64 x x)
(fma.f64 x #s(literal 3 binary64) (*.f64 (+.f64 x x) x))
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (+.f64 x x) x)) x)
(*.f64 (+.f64 x x) x)
(+.f64 x x)
(/.f64 (*.f64 (*.f64 #s(approx (+ (* -6 x) 9) (*.f64 #s(literal -6 binary64) x)) x) x) #s(literal 3 binary64))
(*.f64 (*.f64 #s(approx (+ (* -6 x) 9) (*.f64 #s(literal -6 binary64) x)) x) x)
(*.f64 #s(approx (+ (* -6 x) 9) (*.f64 #s(literal -6 binary64) x)) x)
#s(approx (+ (* -6 x) 9) (*.f64 #s(literal -6 binary64) x))
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 27 binary64)) x) x) (fma.f64 x #s(literal -4 binary64) #s(literal 9 binary64)))
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 27 binary64)) x) x)
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 27 binary64)) x)
(fma.f64 #s(literal 2 binary64) x #s(literal 27 binary64))
Outputs
(*.f64 (*.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64)) (/.f64 x #s(literal 3 binary64))) x)
(*.f64 (*.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64)) x) (/.f64 x #s(literal 3 binary64)))
(*.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64)) (*.f64 (/.f64 x #s(literal 3 binary64)) x))
(*.f64 (*.f64 (/.f64 x #s(literal 3 binary64)) x) (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64)))
(*.f64 (/.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64)) x))
(*.f64 x (*.f64 (/.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 36 binary64) (*.f64 x x)) #s(literal 81 binary64)) (*.f64 (/.f64 x #s(literal 3 binary64)) x))) (neg.f64 (-.f64 (*.f64 #s(literal -6 binary64) x) #s(literal 9 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -216 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 729 binary64)) (*.f64 (/.f64 x #s(literal 3 binary64)) x))) (neg.f64 (fma.f64 #s(literal 36 binary64) (*.f64 x x) (-.f64 #s(literal 81 binary64) (*.f64 x #s(literal -54 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64)))) #s(literal -3 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64)) x) (neg.f64 x))) #s(literal 3 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64)) x) x)) #s(literal -3 binary64))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64)) (*.f64 x x))) #s(literal -3 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 x #s(literal 3 binary64)) x) (-.f64 (*.f64 #s(literal 36 binary64) (*.f64 x x)) #s(literal 81 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal -6 binary64) x) #s(literal 9 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 x #s(literal 3 binary64)) x) (fma.f64 #s(literal -216 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 729 binary64)))) (neg.f64 (fma.f64 #s(literal 36 binary64) (*.f64 x x) (-.f64 #s(literal 81 binary64) (*.f64 x #s(literal -54 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 36 binary64) (*.f64 x x)) #s(literal 81 binary64)) (*.f64 x x))) (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -6 binary64) x) #s(literal 9 binary64)) #s(literal 3 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -216 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 729 binary64)) (*.f64 x x))) (neg.f64 (*.f64 (fma.f64 #s(literal 36 binary64) (*.f64 x x) (-.f64 #s(literal 81 binary64) (*.f64 x #s(literal -54 binary64)))) #s(literal 3 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 36 binary64) (*.f64 x x)) #s(literal 81 binary64)))) (neg.f64 (*.f64 #s(literal 3 binary64) (-.f64 (*.f64 #s(literal -6 binary64) x) #s(literal 9 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -216 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 729 binary64)))) (neg.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(literal 36 binary64) (*.f64 x x) (-.f64 #s(literal 81 binary64) (*.f64 x #s(literal -54 binary64)))))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 36 binary64) (*.f64 x x)) #s(literal 81 binary64)) (*.f64 (/.f64 x #s(literal 3 binary64)) x)) (-.f64 (*.f64 #s(literal -6 binary64) x) #s(literal 9 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal -216 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 729 binary64)) (*.f64 (/.f64 x #s(literal 3 binary64)) x)) (fma.f64 #s(literal 36 binary64) (*.f64 x x) (-.f64 #s(literal 81 binary64) (*.f64 x #s(literal -54 binary64)))))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64))) #s(literal 3 binary64))
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64)) x) (neg.f64 x)) #s(literal -3 binary64))
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64)) x) x) #s(literal 3 binary64))
(/.f64 (*.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64)) (*.f64 x x)) #s(literal 3 binary64))
(/.f64 (*.f64 (*.f64 (/.f64 x #s(literal 3 binary64)) x) (-.f64 (*.f64 #s(literal 36 binary64) (*.f64 x x)) #s(literal 81 binary64))) (-.f64 (*.f64 #s(literal -6 binary64) x) #s(literal 9 binary64)))
(/.f64 (*.f64 (*.f64 (/.f64 x #s(literal 3 binary64)) x) (fma.f64 #s(literal -216 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 729 binary64))) (fma.f64 #s(literal 36 binary64) (*.f64 x x) (-.f64 #s(literal 81 binary64) (*.f64 x #s(literal -54 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 36 binary64) (*.f64 x x)) #s(literal 81 binary64)) (*.f64 x x)) (*.f64 (-.f64 (*.f64 #s(literal -6 binary64) x) #s(literal 9 binary64)) #s(literal 3 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal -216 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 729 binary64)) (*.f64 x x)) (*.f64 (fma.f64 #s(literal 36 binary64) (*.f64 x x) (-.f64 #s(literal 81 binary64) (*.f64 x #s(literal -54 binary64)))) #s(literal 3 binary64)))
(/.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 36 binary64) (*.f64 x x)) #s(literal 81 binary64))) (*.f64 #s(literal 3 binary64) (-.f64 (*.f64 #s(literal -6 binary64) x) #s(literal 9 binary64))))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -216 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 729 binary64))) (*.f64 #s(literal 3 binary64) (fma.f64 #s(literal 36 binary64) (*.f64 x x) (-.f64 #s(literal 81 binary64) (*.f64 x #s(literal -54 binary64))))))
(fma.f64 (*.f64 #s(literal -6 binary64) x) (*.f64 (/.f64 x #s(literal 3 binary64)) x) (*.f64 #s(literal 9 binary64) (*.f64 (/.f64 x #s(literal 3 binary64)) x)))
(fma.f64 (*.f64 (/.f64 x #s(literal 3 binary64)) x) (*.f64 #s(literal -6 binary64) x) (*.f64 (*.f64 (/.f64 x #s(literal 3 binary64)) x) #s(literal 9 binary64)))
(fma.f64 (*.f64 (/.f64 x #s(literal 3 binary64)) x) #s(literal 9 binary64) (*.f64 (*.f64 (/.f64 x #s(literal 3 binary64)) x) (*.f64 #s(literal -6 binary64) x)))
(fma.f64 #s(literal 9 binary64) (*.f64 (/.f64 x #s(literal 3 binary64)) x) (*.f64 (*.f64 #s(literal -6 binary64) x) (*.f64 (/.f64 x #s(literal 3 binary64)) x)))
(+.f64 (*.f64 (*.f64 #s(literal -6 binary64) x) (*.f64 (/.f64 x #s(literal 3 binary64)) x)) (*.f64 #s(literal 9 binary64) (*.f64 (/.f64 x #s(literal 3 binary64)) x)))
(+.f64 (*.f64 #s(literal 9 binary64) (*.f64 (/.f64 x #s(literal 3 binary64)) x)) (*.f64 (*.f64 #s(literal -6 binary64) x) (*.f64 (/.f64 x #s(literal 3 binary64)) x)))
(+.f64 (*.f64 (*.f64 (/.f64 x #s(literal 3 binary64)) x) (*.f64 #s(literal -6 binary64) x)) (*.f64 (*.f64 (/.f64 x #s(literal 3 binary64)) x) #s(literal 9 binary64)))
(+.f64 (*.f64 (*.f64 (/.f64 x #s(literal 3 binary64)) x) #s(literal 9 binary64)) (*.f64 (*.f64 (/.f64 x #s(literal 3 binary64)) x) (*.f64 #s(literal -6 binary64) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 81 binary64) (*.f64 #s(literal 36 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 9 binary64) (*.f64 #s(literal -6 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 36 binary64) (*.f64 x x)) #s(literal 81 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal -6 binary64) x) #s(literal 9 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -216 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 729 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 36 binary64) (*.f64 x x) (-.f64 #s(literal 81 binary64) (*.f64 x #s(literal -54 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 36 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -6 binary64) x) #s(literal 9 binary64))) (*.f64 (-.f64 (*.f64 #s(literal -6 binary64) x) #s(literal 9 binary64)) #s(literal 81 binary64))) (pow.f64 (-.f64 (*.f64 #s(literal -6 binary64) x) #s(literal 9 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal -6 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 36 binary64) (*.f64 x x) (-.f64 #s(literal 81 binary64) (*.f64 x #s(literal -54 binary64)))) (*.f64 (fma.f64 #s(literal 36 binary64) (*.f64 x x) (-.f64 #s(literal 81 binary64) (*.f64 x #s(literal -54 binary64)))) #s(literal 729 binary64))) (pow.f64 (fma.f64 #s(literal 36 binary64) (*.f64 x x) (-.f64 #s(literal 81 binary64) (*.f64 x #s(literal -54 binary64)))) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 81 binary64) (*.f64 #s(literal 36 binary64) (*.f64 x x))) (-.f64 #s(literal 9 binary64) (*.f64 #s(literal -6 binary64) x)))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 36 binary64) (*.f64 x x)) #s(literal 81 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal -6 binary64) x) #s(literal 9 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -216 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 729 binary64))) (neg.f64 (+.f64 #s(literal 81 binary64) (-.f64 (*.f64 #s(literal 36 binary64) (*.f64 x x)) (*.f64 x #s(literal -54 binary64))))))
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eval411.0ms (5.1%)

Memory
35.9MiB live, 499.0MiB allocated
Compiler

Compiled 36 934 to 5 679 computations (84.6% saved)

prune91.0ms (1.1%)

Memory
-35.1MiB live, 118.7MiB allocated
Pruning

15 alts after pruning (8 fresh and 7 done)

PrunedKeptTotal
New1 67851 683
Fresh134
Picked235
Done145
Total1 682151 697
Accuracy
100.0%
Counts
1 697 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.7%
(fma.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) x) (*.f64 (*.f64 #s(literal 3 binary64) x) x))
78.0%
(/.f64 (*.f64 (*.f64 #s(approx (+ (* 2 x) 27) #s(literal 27 binary64)) x) x) (fma.f64 x #s(literal -4 binary64) #s(literal 9 binary64)))
✓72.6%
(/.f64 (*.f64 (*.f64 #s(approx (+ (* -6 x) 9) (*.f64 #s(literal -6 binary64) x)) x) x) #s(literal 3 binary64))
66.4%
(/.f64 (*.f64 (*.f64 #s(approx (+ (* -6 x) 9) #s(literal 9 binary64)) x) x) #s(literal 3 binary64))
44.5%
(*.f64 (fma.f64 x #s(literal 3 binary64) (+.f64 x x)) x)
✓53.9%
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (+.f64 x x) x)) x)
99.6%
(*.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 9 binary64)) (*.f64 x #s(approx (/ x 3) (*.f64 #s(literal 1/3 binary64) x))))
50.3%
(*.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -2 binary64)) (sqrt.f64 x) #s(literal 3 binary64)) x) x)
✓99.9%
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
72.7%
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x) x)
✓66.4%
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
✓99.8%
(*.f64 (*.f64 x x) (-.f64 (-.f64 #s(literal 3 binary64) x) x))
✓66.4%
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
16.4%
#s(approx (/ (* (* (+ (* 2 x) 27) x) x) (+ (* 2 x) (+ (* -6 x) 9))) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -63/8 binary64)) x))
✓40.4%
#s(approx (/ (* (* (+ (* 2 x) 27) x) x) (+ (* 2 x) (+ (* -6 x) 9))) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
Compiler

Compiled 640 to 293 computations (54.2% saved)

regimes21.0ms (0.3%)

Memory
4.9MiB live, 50.5MiB allocated
Counts
32 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (* (+ (* 2 x) 27) x) x) (+ (* 2 x) (+ (* -6 x) 9))) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(*.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)
#s(approx (/ (* (* (+ (* 2 x) 27) x) x) (+ (* 2 x) (+ (* -6 x) 9))) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -63/8 binary64)) x))
(*.f64 (fma.f64 x #s(literal 3 binary64) (+.f64 x x)) x)
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))
(*.f64 (*.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) x)
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) 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 x) x)) x)
(*.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 9 binary64)) (*.f64 x #s(approx (/ x 3) (*.f64 #s(literal 1/3 binary64) x))))
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 2 binary64) x) x)) x)
(/.f64 (*.f64 (*.f64 #s(approx (+ (* -6 x) 9) #s(literal 9 binary64)) x) x) #s(literal 3 binary64))
(/.f64 (*.f64 (*.f64 #s(approx (+ (* -6 x) 9) (*.f64 #s(literal -6 binary64) x)) x) x) #s(literal 3 binary64))
(fma.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) x) (*.f64 (*.f64 #s(literal 3 binary64) x) x))
(fma.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) x) (*.f64 (*.f64 x x) #s(literal 3 binary64)))
(*.f64 (fma.f64 x #s(literal -6 binary64) #s(literal 9 binary64)) (*.f64 x (/.f64 x #s(literal 3 binary64))))
(/.f64 (*.f64 (*.f64 #s(approx (+ (* 2 x) 27) #s(literal 27 binary64)) x) x) (fma.f64 x #s(literal -4 binary64) #s(literal 9 binary64)))
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64)) x) x) #s(literal 3 binary64))
(-.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) x) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) x))
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) x)))
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 27 binary64)) x) x) (fma.f64 x #s(literal -4 binary64) #s(literal 9 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 (fma.f64 #s(literal 2 binary64) x #s(literal 27 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64))))
(*.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 x) #s(literal -2 binary64)) (sqrt.f64 x) #s(literal 3 binary64)) x) x)
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) x)) (sqrt.f64 x))))
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64))) (fma.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)))
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) x) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))
Outputs
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
Calls

2 calls:

11.0ms
x
8.0ms
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
Compiler

Compiled 10 to 8 computations (20% saved)

regimes7.0ms (0.1%)

Memory
8.2MiB live, 8.2MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (* (+ (* 2 x) 27) x) x) (+ (* 2 x) (+ (* -6 x) 9))) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(*.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)
#s(approx (/ (* (* (+ (* 2 x) 27) x) x) (+ (* 2 x) (+ (* -6 x) 9))) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -63/8 binary64)) x))
(*.f64 (fma.f64 x #s(literal 3 binary64) (+.f64 x x)) x)
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))
(*.f64 (*.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) x)
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) 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:

3.0ms
x
3.0ms
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
Compiler

Compiled 10 to 8 computations (20% saved)

regimes6.0ms (0.1%)

Memory
12.3MiB live, 12.3MiB allocated
Counts
8 → 3
Calls
Call 1
Inputs
#s(approx (/ (* (* (+ (* 2 x) 27) x) x) (+ (* 2 x) (+ (* -6 x) 9))) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(*.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)
#s(approx (/ (* (* (+ (* 2 x) 27) x) x) (+ (* 2 x) (+ (* -6 x) 9))) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -63/8 binary64)) x))
(*.f64 (fma.f64 x #s(literal 3 binary64) (+.f64 x x)) x)
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))
(*.f64 (*.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) x)
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) 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:

3.0ms
x
3.0ms
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
Results
AccuracySegmentsBranch
98.1%3x
98.1%3(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
Compiler

Compiled 10 to 8 computations (20% saved)

regimes5.0ms (0.1%)

Memory
10.4MiB live, 10.4MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (* (+ (* 2 x) 27) x) x) (+ (* 2 x) (+ (* -6 x) 9))) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(*.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)
#s(approx (/ (* (* (+ (* 2 x) 27) x) x) (+ (* 2 x) (+ (* -6 x) 9))) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -63/8 binary64)) x))
(*.f64 (fma.f64 x #s(literal 3 binary64) (+.f64 x x)) x)
Outputs
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
#s(approx (/ (* (* (+ (* 2 x) 27) x) x) (+ (* 2 x) (+ (* -6 x) 9))) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -63/8 binary64)) 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
79.3%2x
79.3%2(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
Compiler

Compiled 10 to 8 computations (20% saved)

regimes2.0ms (0%)

Memory
4.2MiB live, 4.2MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (* (+ (* 2 x) 27) x) x) (+ (* 2 x) (+ (* -6 x) 9))) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(*.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)
#s(approx (/ (* (* (+ (* 2 x) 27) x) x) (+ (* 2 x) (+ (* -6 x) 9))) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
79.3%2x
Compiler

Compiled 1 to 1 computations (0% saved)

regimes3.0ms (0%)

Memory
7.5MiB live, 7.5MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (/ (* (* (+ (* 2 x) 27) x) x) (+ (* 2 x) (+ (* -6 x) 9))) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(*.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)))
#s(approx (/ (* (* (+ (* 2 x) 27) x) x) (+ (* 2 x) (+ (* -6 x) 9))) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
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
79.2%2(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
79.2%2x
Compiler

Compiled 10 to 8 computations (20% saved)

regimes6.0ms (0.1%)

Memory
-37.4MiB live, 5.8MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (* (+ (* 2 x) 27) x) x) (+ (* 2 x) (+ (* -6 x) 9))) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
Outputs
#s(approx (/ (* (* (+ (* 2 x) 27) x) x) (+ (* 2 x) (+ (* -6 x) 9))) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
Calls

2 calls:

4.0ms
x
1.0ms
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
Results
AccuracySegmentsBranch
40.4%1(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
40.4%1x
Compiler

Compiled 10 to 8 computations (20% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.00163302697857849
1107950500.398587
0.0ms
-5.0159604330648265e+50
0.0
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch16.0ms (0.2%)

Memory
33.0MiB live, 33.0MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
14.0ms
1.375674502378867e-12
63063010918118560.0
Samples
7.0ms176×0valid
Compiler

Compiled 419 to 330 computations (21.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 3.0ms (73.8% of total)
ival-sub: 1.0ms (24.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
3.0MiB live, 3.0MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
1.375674502378867e-12
63063010918118560.0
Compiler

Compiled 408 to 319 computations (21.8% saved)

bsearch1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
1.375674502378867e-12
63063010918118560.0
Compiler

Compiled 408 to 319 computations (21.8% saved)

simplify77.0ms (1%)

Memory
-38.5MiB live, 62.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
052212
181204
2156204
3375204
4960204
52527204
64997204
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.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 (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) #s(literal -499999999999999996610474337180813988230854220972032 binary64)) (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))) (if (<=.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) #s(literal 1152921504606847/576460752303423488 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 (<=.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) #s(approx (/ (* (* (+ (* 2 x) 27) x) x) (+ (* 2 x) (+ (* -6 x) 9))) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -63/8 binary64)) x)))
(if (<=.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) #s(approx (/ (* (* (+ (* 2 x) 27) x) x) (+ (* 2 x) (+ (* -6 x) 9))) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(if (<=.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) #s(approx (/ (* (* (+ (* 2 x) 27) x) x) (+ (* 2 x) (+ (* -6 x) 9))) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))
#s(approx (/ (* (* (+ (* 2 x) 27) x) x) (+ (* 2 x) (+ (* -6 x) 9))) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
Outputs
(*.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 (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) #s(literal -499999999999999996610474337180813988230854220972032 binary64)) (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))) (if (<=.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) #s(literal 1152921504606847/576460752303423488 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 (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) #s(literal -499999999999999996610474337180813988230854220972032 binary64)) (not (<=.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) #s(literal 1152921504606847/576460752303423488 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))
(if (<=.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) #s(approx (/ (* (* (+ (* 2 x) 27) x) x) (+ (* 2 x) (+ (* -6 x) 9))) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal -63/8 binary64)) x)))
(if (<=.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) #s(approx (/ (* (* (+ (* 2 x) 27) x) x) (+ (* 2 x) (+ (* -6 x) 9))) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(if (<=.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) #s(approx (/ (* (* (+ (* 2 x) 27) x) x) (+ (* 2 x) (+ (* -6 x) 9))) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))
#s(approx (/ (* (* (+ (* 2 x) 27) x) x) (+ (* 2 x) (+ (* -6 x) 9))) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))

soundness1.8s (22.7%)

Memory
-6.4MiB live, 723.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0112337
1388337
21166328
33928327
08072299
0123395
1415395
21211387
34028382
08427365
02464
16364
217264
360564
4228264
5529864
0841459
027128
046115
1157111
21027108
09754108
0720
01120
13820
223020
3178320
0927818
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 394 to 175 computations (55.6% saved)

preprocess78.0ms (1%)

Memory
24.0MiB live, 70.3MiB allocated
Compiler

Compiled 460 to 138 computations (70% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...