Data.Spline.Key:interpolateKeys from smoothie-0.4.0.2

Time bar (total: 9.4s)

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 11 to 9 computations (18.2% saved)

sample1.0s (10.8%)

Memory
18.6MiB live, 1 118.1MiB allocated
Samples
437.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 266.0ms
ival-mult: 177.0ms (66.5% of total)
ival-sub: 74.0ms (27.8% of total)
exact: 7.0ms (2.6% of total)
ival-true: 5.0ms (1.9% of total)
ival-assert: 3.0ms (1.1% of total)
Bogosity

preprocess278.0ms (3%)

Memory
16.3MiB live, 55.8MiB allocated
Algorithm
egg-herbie
Rules
616×lower-fma.f64
616×lower-fma.f32
392×lower-*.f32
386×lower-*.f64
204×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0919
13618
212018
345118
484518
594018
694418
079
0119
1209
2489
31129
42089
52669
63469
75009
86239
97049
108729
118749
08748
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
Outputs
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))

explain161.0ms (1.7%)

Memory
-30.6MiB live, 83.9MiB 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
80.0ms512×0valid
Compiler

Compiled 70 to 32 computations (54.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 9.0ms (74.5% of total)
ival-sub: 2.0ms (16.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (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 10 to 7 computations (30% saved)

simplify37.0ms (0.4%)

Memory
8.4MiB live, 8.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x #s(literal 2 binary64))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
cost-diff128
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
Rules
616×lower-fma.f64
616×lower-fma.f32
392×lower-*.f32
386×lower-*.f64
166×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0723
01123
12023
24823
311223
420823
526623
634623
750023
862323
970423
1087223
1187423
087421
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(*.f64 x x)
x
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
#s(literal 3 binary64)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(*.f64 x x)
x
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)

localize45.0ms (0.5%)

Memory
-26.4MiB live, 13.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(*.f64 x #s(literal 2 binary64))
accuracy99.8%
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
Samples
15.0ms256×0valid
Compiler

Compiled 25 to 9 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 5.0ms (55.6% of total)
ival-sub: 4.0ms (44.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0%)

Memory
3.6MiB live, 3.6MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#<alt (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 x x)>
#<alt (*.f64 x #s(literal 2 binary64))>
Outputs
#<alt 3>
#<alt (+ 3 (* -2 x))>
#<alt (+ 3 (* -2 x))>
#<alt (+ 3 (* -2 x))>
#<alt (* -2 x)>
#<alt (* x (- (* 3 (/ 1 x)) 2))>
#<alt (* x (- (* 3 (/ 1 x)) 2))>
#<alt (* x (- (* 3 (/ 1 x)) 2))>
#<alt (* -2 x)>
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* -2 (pow x 3))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* -2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
Calls

12 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(* x x)
0.0ms
x
@inf
(- 3 (* x 2))
0.0ms
x
@0
(* (* x x) (- 3 (* x 2)))
0.0ms
x
@-inf
(* x 2)
0.0ms
x
@inf
(* x 2)

simplify489.0ms (5.2%)

Memory
8.4MiB live, 438.2MiB allocated
Algorithm
egg-herbie
Rules
20 650×lower-fma.f64
20 650×lower-fma.f32
3 112×lower-*.f64
3 112×lower-*.f32
2 720×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024220
163220
2165220
3494220
41369220
52276220
63140220
73877220
85631220
96275220
106644220
08428202
Stop Event
iter limit
node limit
Counts
48 → 48
Calls
Call 1
Inputs
3
(+ 3 (* -2 x))
(+ 3 (* -2 x))
(+ 3 (* -2 x))
(* -2 x)
(* x (- (* 3 (/ 1 x)) 2))
(* x (- (* 3 (/ 1 x)) 2))
(* x (- (* 3 (/ 1 x)) 2))
(* -2 x)
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
Outputs
3
#s(literal 3 binary64)
(+ 3 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(+ 3 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(+ 3 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* x (- (* 3 (/ 1 x)) 2))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 2))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 2))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* 3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))))
(* -2 (pow x 3))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))))
(* -2 (pow x 3))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))

rewrite382.0ms (4.1%)

Memory
21.4MiB live, 773.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
9 334×lower-fma.f64
9 334×lower-fma.f32
4 144×lower-*.f32
4 138×lower-*.f64
3 844×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0720
01120
13520
221920
3175920
0851618
Stop Event
iter limit
node limit
iter limit
Counts
4 → 287
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 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))
(+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))
(+.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)))))
(+.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (neg.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))))
(+.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))))
(-.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)))
(-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 19683 binary64) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64)) #s(literal 729 binary64))) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 512 binary64)) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64)) #s(literal 729 binary64))) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 729 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64))) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64))) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))))
(-.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 9 binary64) (*.f64 x #s(literal 6 binary64))))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 9 binary64) (*.f64 x #s(literal 6 binary64))))))
(-.f64 (/.f64 (/.f64 #s(literal 19683 binary64) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64)) #s(literal 729 binary64))) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 9 binary64) (*.f64 x #s(literal 6 binary64))))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 512 binary64)) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64)) #s(literal 729 binary64))) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 9 binary64) (*.f64 x #s(literal 6 binary64))))))
(-.f64 (/.f64 (/.f64 #s(literal 729 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64))) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 9 binary64) (*.f64 x #s(literal 6 binary64))))) (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64))) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 9 binary64) (*.f64 x #s(literal 6 binary64))))))
(-.f64 (/.f64 (/.f64 #s(literal 729 binary64) (fma.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 81 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64))) (fma.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 81 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 81 binary64) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64))) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))
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(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (neg.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
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(*.f64 #s(literal 1 binary64) (*.f64 x x))
(+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 2 binary64)))
(exp.f64 (log.f64 (*.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -2 binary64)))
(neg.f64 (*.f64 x #s(literal -2 binary64)))
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) #s(literal 0 binary64))))
(/.f64 (*.f64 (*.f64 x x) #s(literal -4 binary64)) (*.f64 x #s(literal -2 binary64)))
(pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 2 binary64))
(*.f64 x (exp.f64 (log.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x #s(literal -2 binary64)))
(*.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) x)
(*.f64 (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))

eval65.0ms (0.7%)

Memory
-20.2MiB live, 141.2MiB allocated
Compiler

Compiled 10 134 to 956 computations (90.6% saved)

prune49.0ms (0.5%)

Memory
15.2MiB live, 134.8MiB allocated
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New31817335
Fresh000
Picked101
Done000
Total31917336
Accuracy
100.0%
Counts
336 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
89.3%
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -2 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x)))
99.9%
(fma.f64 (*.f64 #s(literal 3 binary64) x) x (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
21.3%
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9 binary64)))) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) (*.f64 #s(literal 3 binary64) (*.f64 x x))))
99.7%
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
99.7%
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))))
99.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))))
21.3%
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9 binary64))) (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))))
99.7%
(*.f64 (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (*.f64 x x)))
99.8%
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x))
61.2%
(*.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64))) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal -6 binary64)) #s(literal 9 binary64)))
99.8%
(*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)
58.2%
(*.f64 (*.f64 x x) (/.f64 (-.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)) (*.f64 (*.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)) #s(literal 1/27 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)))) (*.f64 (*.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)) #s(literal 1/27 binary64)) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)))))
76.0%
(*.f64 (*.f64 x x) (/.f64 (-.f64 (*.f64 #s(literal 9 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))))
76.0%
(*.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)))))))
74.2%
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))
62.7%
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
62.7%
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x (*.f64 x #s(literal 3 binary64))))
Compiler

Compiled 698 to 356 computations (49% saved)

simplify260.0ms (2.8%)

Memory
-10.9MiB live, 506.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64)))))
cost-diff768
(-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) (*.f64 #s(literal 3 binary64) (*.f64 x x)))
cost-diff1280
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9 binary64)))) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) (*.f64 #s(literal 3 binary64) (*.f64 x x))))
cost-diff1408
(-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9 binary64))))
cost-diff0
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
cost-diff0
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
cost-diff0
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x))
cost-diff0
(*.f64 x #s(literal 3 binary64))
cost-diff0
(*.f64 x (*.f64 x #s(literal 3 binary64)))
cost-diff0
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x (*.f64 x #s(literal 3 binary64))))
cost-diff0
(*.f64 x (*.f64 x #s(literal -2 binary64)))
cost-diff0
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
cost-diff0
(*.f64 #s(literal 3 binary64) x)
cost-diff640
(fma.f64 (*.f64 #s(literal 3 binary64) x) x (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
Rules
7 916×lower-fma.f32
7 912×lower-fma.f64
3 934×lower-*.f32
3 900×lower-*.f64
2 214×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036265
061265
1132232
2301216
3867200
43699200
56520200
08240196
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 #s(literal 3 binary64) x) x (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
x
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(*.f64 x (*.f64 x #s(literal -2 binary64)))
(*.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x (*.f64 x #s(literal 3 binary64))))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
x
(*.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
x
#s(literal -2 binary64)
#s(literal 3 binary64)
(*.f64 x x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
x
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
#s(literal -2 binary64)
#s(literal 3 binary64)
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9 binary64)))) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) (*.f64 #s(literal 3 binary64) (*.f64 x x))))
(-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9 binary64))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64)))))
(*.f64 x x)
x
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))
(*.f64 x (*.f64 x #s(literal 4 binary64)))
(*.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9 binary64)))
(*.f64 (*.f64 x x) #s(literal 9 binary64))
#s(literal 9 binary64)
(-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) (*.f64 #s(literal 3 binary64) (*.f64 x x)))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(*.f64 x (*.f64 x #s(literal -2 binary64)))
(*.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
(*.f64 #s(literal 3 binary64) (*.f64 x x))
#s(literal 3 binary64)
Outputs
(fma.f64 (*.f64 #s(literal 3 binary64) x) x (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x))
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
x
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(*.f64 x (*.f64 x #s(literal -2 binary64)))
(*.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x (*.f64 x #s(literal 3 binary64))))
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 #s(literal 3 binary64) (*.f64 x x)))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
x
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
x
#s(literal -2 binary64)
#s(literal 3 binary64)
(*.f64 x x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))))
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x))
x
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
#s(literal -2 binary64)
#s(literal 3 binary64)
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9 binary64)))) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) (*.f64 #s(literal 3 binary64) (*.f64 x x))))
(/.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)))) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))
(-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9 binary64))))
(*.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64)))))
(*.f64 #s(literal 4 binary64) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))))
(*.f64 x x)
x
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))
(*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 4 binary64)))))
(*.f64 x (*.f64 x #s(literal 4 binary64)))
(*.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9 binary64)))
(*.f64 (*.f64 x x) #s(literal 9 binary64))
#s(literal 9 binary64)
(-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) (*.f64 #s(literal 3 binary64) (*.f64 x x)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(*.f64 x (*.f64 x #s(literal -2 binary64)))
(*.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
(*.f64 #s(literal 3 binary64) (*.f64 x x))
#s(literal 3 binary64)

localize114.0ms (1.2%)

Memory
19.9MiB live, 215.5MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(*.f64 #s(literal 3 binary64) (*.f64 x x))
accuracy89.4%
(-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) (*.f64 #s(literal 3 binary64) (*.f64 x x)))
accuracy68.9%
(-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9 binary64))))
accuracy25.8%
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9 binary64)))) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) (*.f64 #s(literal 3 binary64) (*.f64 x x))))
accuracy99.9%
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))))
accuracy99.8%
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
accuracy99.1%
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))))
accuracy100.0%
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
accuracy100.0%
(*.f64 x x)
accuracy99.8%
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x))
accuracy100.0%
(*.f64 x #s(literal 3 binary64))
accuracy99.8%
(*.f64 x (*.f64 x #s(literal 3 binary64)))
accuracy62.8%
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x (*.f64 x #s(literal 3 binary64))))
accuracy100.0%
(*.f64 x #s(literal -2 binary64))
accuracy100.0%
(*.f64 #s(literal 3 binary64) x)
accuracy99.9%
(fma.f64 (*.f64 #s(literal 3 binary64) x) x (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
accuracy99.9%
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
Samples
53.0ms236×0valid
5.0ms12×1valid
4.0ms2valid
Compiler

Compiled 269 to 37 computations (86.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-mult: 28.0ms (65% of total)
ival-div: 7.0ms (16.3% of total)
ival-sub: 3.0ms (7% of total)
ival-add: 2.0ms (4.6% of total)
adjust: 1.0ms (2.3% of total)
exact: 1.0ms (2.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory
20.4MiB live, 20.4MiB allocated
Counts
20 → 240
Calls
Call 1
Inputs
#<alt (fma.f64 (*.f64 #s(literal 3 binary64) x) x (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))>
#<alt (*.f64 #s(literal 3 binary64) x)>
#<alt (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))>
#<alt (*.f64 x (*.f64 x #s(literal -2 binary64)))>
#<alt #s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x (*.f64 x #s(literal 3 binary64))))>
#<alt (*.f64 x (*.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 x #s(literal 3 binary64))>
#<alt (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x))>
#<alt (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))>
#<alt (*.f64 x x)>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))))>
#<alt (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))>
#<alt (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))>
#<alt (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9 binary64))))>
#<alt (/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9 binary64)))) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) (*.f64 #s(literal 3 binary64) (*.f64 x x))))>
#<alt (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) (*.f64 #s(literal 3 binary64) (*.f64 x x)))>
#<alt (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64)))))>
#<alt (*.f64 x #s(literal -2 binary64))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 x x))>
Outputs
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* -2 (pow x 3))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* -2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* -2 (pow x 3))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* -2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* -2 (pow x 3))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* -2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt 3>
#<alt (+ 3 (* -2 x))>
#<alt (+ 3 (* -2 x))>
#<alt (+ 3 (* -2 x))>
#<alt (* -2 x)>
#<alt (* x (- (* 3 (/ 1 x)) 2))>
#<alt (* x (- (* 3 (/ 1 x)) 2))>
#<alt (* x (- (* 3 (/ 1 x)) 2))>
#<alt (* -2 x)>
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* -2 (pow x 3))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* -2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (/ 1/3 (pow x 2))>
#<alt (/ (+ 1/3 (* 2/9 x)) (pow x 2))>
#<alt (/ (+ 1/3 (* x (+ 2/9 (* 4/27 x)))) (pow x 2))>
#<alt (/ (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) (pow x 2))>
#<alt (/ -1/2 (pow x 3))>
#<alt (* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 3)))>
#<alt (/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 3))>
#<alt (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) (pow x 3))>
#<alt (/ -1/2 (pow x 3))>
#<alt (* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 3)))>
#<alt (* -1 (/ (+ 1/2 (+ (* 3/4 (/ 1 x)) (/ 9/8 (pow x 2)))) (pow x 3)))>
#<alt (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) x)) 3/4) x))) (pow x 3)))>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* -2 (pow x 3))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* -2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* 3 x)>
#<alt (* x (+ 3 (* -2 x)))>
#<alt (* x (+ 3 (* -2 x)))>
#<alt (* x (+ 3 (* -2 x)))>
#<alt (* -2 (pow x 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))>
#<alt (* -2 (pow x 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))>
#<alt (* -9 (pow x 4))>
#<alt (* (pow x 4) (- (* 4 (pow x 2)) 9))>
#<alt (* (pow x 4) (- (* 4 (pow x 2)) 9))>
#<alt (* (pow x 4) (- (* 4 (pow x 2)) 9))>
#<alt (* 4 (pow x 6))>
#<alt (* (pow x 6) (- 4 (* 9 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- 4 (* 9 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- 4 (* 9 (/ 1 (pow x 2)))))>
#<alt (* 4 (pow x 6))>
#<alt (* (pow x 6) (- 4 (* 9 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- 4 (* 9 (/ 1 (pow x 2)))))>
#<alt (* (pow x 6) (- 4 (* 9 (/ 1 (pow x 2)))))>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* -2 (pow x 3))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* -2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -3 (pow x 2))>
#<alt (* (pow x 2) (- (* -2 x) 3))>
#<alt (* (pow x 2) (- (* -2 x) 3))>
#<alt (* (pow x 2) (- (* -2 x) 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 2 (* 3 (/ 1 x)))))>
#<alt (* -2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 2 (* 3 (/ 1 x)))))>
#<alt (* 4 (pow x 6))>
#<alt (* 4 (pow x 6))>
#<alt (* 4 (pow x 6))>
#<alt (* 4 (pow x 6))>
#<alt (* 4 (pow x 6))>
#<alt (* 4 (pow x 6))>
#<alt (* 4 (pow x 6))>
#<alt (* 4 (pow x 6))>
#<alt (* 4 (pow x 6))>
#<alt (* 4 (pow x 6))>
#<alt (* 4 (pow x 6))>
#<alt (* 4 (pow x 6))>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* 3 (pow x 2))>
Calls

60 calls:

TimeVariablePointExpression
1.0ms
x
@0
(* (+ (* x -2) 3) (* x x))
1.0ms
x
@0
(- (* (* x x) (* (* x x) (* x (* x 4)))) (* (* x x) (* (* x x) 9)))
0.0ms
x
@inf
(- (* (* x x) (* (* x x) (* x (* x 4)))) (* (* x x) (* (* x x) 9)))
0.0ms
x
@0
(+ (* (* 3 x) x) (* x (* x (* x -2))))
0.0ms
x
@inf
(/ (- (* (* x x) (* (* x x) (* x (* x 4)))) (* (* x x) (* (* x x) 9))) (- (* x (* x (* x -2))) (* 3 (* x x))))

simplify335.0ms (3.6%)

Memory
4.3MiB live, 504.5MiB allocated
Algorithm
egg-herbie
Rules
8 188×lower-fma.f64
8 188×lower-fma.f32
3 180×lower-*.f64
3 180×lower-*.f32
2 836×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01041500
12651496
27231490
318281490
442521490
578911490
083441400
Stop Event
iter limit
node limit
Counts
240 → 240
Calls
Call 1
Inputs
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
3
(+ 3 (* -2 x))
(+ 3 (* -2 x))
(+ 3 (* -2 x))
(* -2 x)
(* x (- (* 3 (/ 1 x)) 2))
(* x (- (* 3 (/ 1 x)) 2))
(* x (- (* 3 (/ 1 x)) 2))
(* -2 x)
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(/ 1/3 (pow x 2))
(/ (+ 1/3 (* 2/9 x)) (pow x 2))
(/ (+ 1/3 (* x (+ 2/9 (* 4/27 x)))) (pow x 2))
(/ (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) (pow x 2))
(/ -1/2 (pow x 3))
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 3)))
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 3))
(/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) (pow x 3))
(/ -1/2 (pow x 3))
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 3)))
(* -1 (/ (+ 1/2 (+ (* 3/4 (/ 1 x)) (/ 9/8 (pow x 2)))) (pow x 3)))
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) x)) 3/4) x))) (pow x 3)))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* 3 x)
(* x (+ 3 (* -2 x)))
(* x (+ 3 (* -2 x)))
(* x (+ 3 (* -2 x)))
(* -2 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* -9 (pow x 4))
(* (pow x 4) (- (* 4 (pow x 2)) 9))
(* (pow x 4) (- (* 4 (pow x 2)) 9))
(* (pow x 4) (- (* 4 (pow x 2)) 9))
(* 4 (pow x 6))
(* (pow x 6) (- 4 (* 9 (/ 1 (pow x 2)))))
(* (pow x 6) (- 4 (* 9 (/ 1 (pow x 2)))))
(* (pow x 6) (- 4 (* 9 (/ 1 (pow x 2)))))
(* 4 (pow x 6))
(* (pow x 6) (- 4 (* 9 (/ 1 (pow x 2)))))
(* (pow x 6) (- 4 (* 9 (/ 1 (pow x 2)))))
(* (pow x 6) (- 4 (* 9 (/ 1 (pow x 2)))))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -3 (pow x 2))
(* (pow x 2) (- (* -2 x) 3))
(* (pow x 2) (- (* -2 x) 3))
(* (pow x 2) (- (* -2 x) 3))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (+ 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 2 (* 3 (/ 1 x)))))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (+ 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 2 (* 3 (/ 1 x)))))
(* 4 (pow x 6))
(* 4 (pow x 6))
(* 4 (pow x 6))
(* 4 (pow x 6))
(* 4 (pow x 6))
(* 4 (pow x 6))
(* 4 (pow x 6))
(* 4 (pow x 6))
(* 4 (pow x 6))
(* 4 (pow x 6))
(* 4 (pow x 6))
(* 4 (pow x 6))
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
(* 3 (pow x 2))
Outputs
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
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(*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 4 binary64)))))
(* 4 (pow x 6))
(*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 4 binary64)))))
(* 4 (pow x 6))
(*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 4 binary64)))))
(* 4 (pow x 6))
(*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 4 binary64)))))
(* 4 (pow x 6))
(*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 4 binary64)))))
(* 4 (pow x 6))
(*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 4 binary64)))))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))

rewrite635.0ms (6.7%)

Memory
5.5MiB live, 924.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
14 096×lower-fma.f32
14 092×lower-fma.f64
4 698×lower-*.f32
4 664×lower-*.f64
3 008×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036195
061174
1215133
21502129
08668127
Stop Event
iter limit
node limit
iter limit
Counts
20 → 1 852
Calls
Call 1
Inputs
(fma.f64 (*.f64 #s(literal 3 binary64) x) x (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
(*.f64 #s(literal 3 binary64) x)
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(*.f64 x (*.f64 x #s(literal -2 binary64)))
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x (*.f64 x #s(literal 3 binary64))))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(*.f64 x #s(literal 3 binary64))
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(*.f64 x x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9 binary64)))) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) (*.f64 #s(literal 3 binary64) (*.f64 x x))))
(-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) (*.f64 #s(literal 3 binary64) (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64)))))
(*.f64 x #s(literal -2 binary64))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
Outputs
(+.f64 (*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 #s(literal 3 binary64) (*.f64 x x)))
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x))))
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x)))))
(+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 4 binary64))))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 9 binary64)))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))))
(+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 4 binary64))))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 9 binary64)))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))))
(+.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 9 binary64)))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 4 binary64))))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x)))) (*.f64 #s(literal 3 binary64) (*.f64 x x)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 4 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -9 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -9 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 4 binary64)))))))
(+.f64 (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -27 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 4 binary64)))))) (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -27 binary64)))) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))))))
(+.f64 (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -27 binary64)))) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))))) (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -27 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 4 binary64)))))))
(+.f64 (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -27 binary64)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -27 binary64)))) (*.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 x (*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x)))))))
(+.f64 (*.f64 (*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 4 binary64))))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 9 binary64)))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 4 binary64))))) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -27 binary64))))) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -27 binary64))))))
(+.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -27 binary64))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 4 binary64))))) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -27 binary64))))))
(+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -27 binary64))))) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 x (*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x))))) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -27 binary64))))))
(exp.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))) #s(literal 1 binary64)))
(-.f64 (*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x #s(literal -3 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 4 binary64))))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -9 binary64)) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))))
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 9 binary64)))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 4 binary64))))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 4 binary64))))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -9 binary64)) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 9 binary64)))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 4 binary64))))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 64 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 16 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 9 binary64)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 729 binary64)))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 16 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 9 binary64)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))))
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(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 4 binary64))))) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 4 binary64))))) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))))) (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -9 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))))) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -9 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))))))) (+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 4 binary64))))) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -9 binary64)) (*.f64 x (*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) #s(literal -1 binary64))
(*.f64 x (fma.f64 x (*.f64 x #s(literal -2 binary64)) (*.f64 x #s(literal -3 binary64))))
(*.f64 x (neg.f64 (fma.f64 #s(literal 3 binary64) x (*.f64 x (*.f64 x #s(literal 2 binary64))))))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))))
(*.f64 (*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))))))
(*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 x (*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x))))))))
(*.f64 (*.f64 x (neg.f64 x)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))
(*.f64 (neg.f64 x) (fma.f64 #s(literal 3 binary64) x (*.f64 x (*.f64 x #s(literal 2 binary64)))))
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -27 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (neg.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (*.f64 (*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x #s(literal -3 binary64)))))))
(*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 27 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 9 binary64))) (*.f64 (*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))))
(*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x)))) #s(literal 2 binary64)))
(neg.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -4 binary64))))
(pow.f64 (*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x))) #s(literal 2 binary64))
(pow.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 4 binary64)))))
(*.f64 x (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) (*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x)))))
(*.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x)))))
(*.f64 (*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x))))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 4 binary64)))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 4 binary64)))) (*.f64 x x))
(*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 4 binary64)))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 4 binary64)))) x)
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 4 binary64))))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 x x)))
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 4 binary64))
(*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 2 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x))) x) (*.f64 #s(literal -2 binary64) (*.f64 x x)))
(*.f64 (*.f64 (*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x x)) (*.f64 x #s(literal -2 binary64)))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) x) (*.f64 x #s(literal 4 binary64)))
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(+.f64 #s(literal 0 binary64) (*.f64 x #s(literal -2 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal 2 binary64)))
(neg.f64 (*.f64 x #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 x #s(literal 2 binary64))))))
(/.f64 (*.f64 (*.f64 x x) #s(literal -4 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 2 binary64))))
(*.f64 x #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) x)
(*.f64 #s(literal 2 binary64) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x #s(literal 2 binary64)))
(*.f64 (neg.f64 x) #s(literal 2 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x #s(literal -3 binary64))))
(neg.f64 (*.f64 x (*.f64 x #s(literal -3 binary64))))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(*.f64 #s(literal 3 binary64) (neg.f64 (*.f64 x (neg.f64 x))))
(*.f64 x (*.f64 #s(literal 3 binary64) x))
(*.f64 x (neg.f64 (*.f64 x #s(literal -3 binary64))))
(*.f64 (*.f64 #s(literal 3 binary64) x) x)
(*.f64 (*.f64 #s(literal 3 binary64) x) (neg.f64 (neg.f64 x)))
(*.f64 (*.f64 x x) #s(literal 3 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x)))
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal -3 binary64))))
(*.f64 (*.f64 x (neg.f64 x)) #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) (*.f64 x (neg.f64 x)))
(*.f64 (neg.f64 x) (*.f64 x #s(literal -3 binary64)))
(*.f64 (*.f64 x #s(literal -3 binary64)) (neg.f64 x))
(*.f64 (neg.f64 (neg.f64 x)) (*.f64 #s(literal 3 binary64) x))
(*.f64 (neg.f64 (*.f64 x (neg.f64 x))) #s(literal 3 binary64))
(*.f64 (neg.f64 (*.f64 x #s(literal -3 binary64))) x)

eval428.0ms (4.6%)

Memory
30.4MiB live, 484.1MiB allocated
Compiler

Compiled 103 422 to 3 217 computations (96.9% saved)

prune258.0ms (2.7%)

Memory
-26.4MiB live, 423.8MiB allocated
Pruning

19 alts after pruning (16 fresh and 3 done)

PrunedKeptTotal
New2 33292 341
Fresh5712
Picked235
Done000
Total2 339192 358
Accuracy
100.0%
Counts
2 358 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
89.3%
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -2 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x)))
99.9%
(fma.f64 (*.f64 #s(literal 3 binary64) x) x (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
99.7%
(/.f64 (*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))) (/.f64 #s(literal -1 binary64) x))
93.7%
(/.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)))) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))
9.4%
(/.f64 #s(approx (- (* (* x x) (* (* x x) (* x (* x 4)))) (* (* x x) (* (* x x) 9))) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 4 binary64)))))) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) (*.f64 #s(literal 3 binary64) (*.f64 x x))))
99.7%
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))))
99.7%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) x))
62.6%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (* x (+ (* x -2) 3)))) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))
74.2%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (* x (+ (* x -2) 3)))) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))))
89.3%
(-.f64 (*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x #s(literal -3 binary64))))
99.8%
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
99.8%
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x))
61.2%
(*.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64))) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal -6 binary64)) #s(literal 9 binary64)))
99.8%
(*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)
93.6%
(*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))
76.0%
(*.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)))))))
74.2%
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))
62.7%
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
62.7%
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x (*.f64 x #s(literal 3 binary64))))
Compiler

Compiled 513 to 314 computations (38.8% saved)

simplify435.0ms (4.6%)

Memory
-21.0MiB live, 530.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)))
cost-diff0
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64)))
cost-diff0
(*.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64))) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal -6 binary64)) #s(literal 9 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 x x))
cost-diff0
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
cost-diff0
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 #s(literal -2 binary64) (*.f64 x x))
cost-diff0
(*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x)))
cost-diff768
(-.f64 (*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x #s(literal -3 binary64))))
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 x #s(literal -2 binary64) #s(literal 3 binary64))
cost-diff0
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
cost-diff0
(*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)
Rules
11 568×lower-fma.f32
11 558×lower-fma.f64
3 820×lower-*.f32
3 796×lower-*.f64
3 628×lower-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036214
062193
1147189
2380189
31115189
43425189
55956189
67464189
08166189
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
x
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
#s(literal -2 binary64)
#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 (*.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x #s(literal -3 binary64))))
(*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x)))
x
(*.f64 #s(literal -2 binary64) (*.f64 x x))
#s(literal -2 binary64)
(*.f64 x x)
(*.f64 x (*.f64 x #s(literal -3 binary64)))
(*.f64 x #s(literal -3 binary64))
#s(literal -3 binary64)
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
x
#s(literal -2 binary64)
#s(literal 3 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
(*.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64))) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal -6 binary64)) #s(literal 9 binary64)))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64)))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)))
(*.f64 x x)
x
(fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))
#s(literal -4 binary64)
#s(literal 9 binary64)
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64))
(*.f64 x (*.f64 x x))
#s(literal 8 binary64)
#s(literal 27 binary64)
(fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal -6 binary64)) #s(literal 9 binary64))
(fma.f64 x #s(literal 4 binary64) #s(literal -6 binary64))
#s(literal 4 binary64)
#s(literal -6 binary64)
Outputs
(*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
x
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
#s(literal -2 binary64)
#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 (*.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x #s(literal -3 binary64))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x)))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
x
(*.f64 #s(literal -2 binary64) (*.f64 x x))
(*.f64 x (*.f64 x #s(literal -2 binary64)))
#s(literal -2 binary64)
(*.f64 x x)
(*.f64 x (*.f64 x #s(literal -3 binary64)))
(*.f64 (*.f64 x x) #s(literal -3 binary64))
(*.f64 x #s(literal -3 binary64))
#s(literal -3 binary64)
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
x
#s(literal -2 binary64)
#s(literal 3 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 x x)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
(*.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64))) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal -6 binary64)) #s(literal 9 binary64)))
(/.f64 (*.f64 (*.f64 x x) (*.f64 (fma.f64 x (*.f64 x #s(literal -4 binary64)) #s(literal 9 binary64)) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal -6 binary64)) #s(literal 9 binary64)))) (fma.f64 x (*.f64 x (*.f64 x #s(literal 8 binary64))) #s(literal 27 binary64)))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64)))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -4 binary64)) #s(literal 9 binary64))) (fma.f64 x (*.f64 x (*.f64 x #s(literal 8 binary64))) #s(literal 27 binary64)))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -4 binary64)) #s(literal 9 binary64)))
(*.f64 x x)
x
(fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))
(fma.f64 x (*.f64 x #s(literal -4 binary64)) #s(literal 9 binary64))
#s(literal -4 binary64)
#s(literal 9 binary64)
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64))
(fma.f64 x (*.f64 x (*.f64 x #s(literal 8 binary64))) #s(literal 27 binary64))
(*.f64 x (*.f64 x x))
#s(literal 8 binary64)
#s(literal 27 binary64)
(fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal -6 binary64)) #s(literal 9 binary64))
(fma.f64 x #s(literal 4 binary64) #s(literal -6 binary64))
#s(literal 4 binary64)
#s(literal -6 binary64)

localize162.0ms (1.7%)

Memory
15.4MiB live, 245.1MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(*.f64 x (*.f64 x x))
accuracy99.8%
(*.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64))) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal -6 binary64)) #s(literal 9 binary64)))
accuracy99.8%
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)))
accuracy62.2%
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64)))
accuracy100.0%
(*.f64 x x)
accuracy99.8%
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
accuracy99.1%
(/.f64 #s(literal 1 binary64) (*.f64 x x))
accuracy100.0%
(*.f64 #s(literal -2 binary64) (*.f64 x x))
accuracy99.9%
(*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x)))
accuracy99.8%
(*.f64 x (*.f64 x #s(literal -3 binary64)))
accuracy89.4%
(-.f64 (*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x #s(literal -3 binary64))))
accuracy100.0%
(*.f64 x x)
accuracy99.8%
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
accuracy50.2%
#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
accuracy100.0%
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
accuracy99.9%
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
accuracy99.8%
(*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)
Samples
52.0ms236×0valid
33.0ms2valid
4.0ms12×1valid
Compiler

Compiled 229 to 42 computations (81.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 70.0ms
ival-mult: 55.0ms (78.5% of total)
ival-add: 5.0ms (7.1% of total)
ival-div: 4.0ms (5.7% of total)
ival-sub: 2.0ms (2.9% of total)
adjust: 1.0ms (1.4% of total)
exact: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
-10.7MiB live, 25.2MiB allocated
Counts
17 → 204
Calls
Call 1
Inputs
#<alt (*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)>
#<alt (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))>
#<alt (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))>
#<alt (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))>
#<alt (*.f64 x x)>
#<alt #s(approx (- 3 (* x 2)) #s(literal 3 binary64))>
#<alt (-.f64 (*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x #s(literal -3 binary64))))>
#<alt (*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x)))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 x x))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))>
#<alt (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x x))>
#<alt (*.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64))) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal -6 binary64)) #s(literal 9 binary64)))>
#<alt (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64)))>
#<alt (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)))>
#<alt (*.f64 x (*.f64 x #s(literal -3 binary64)))>
#<alt (*.f64 x (*.f64 x x))>
Outputs
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* -2 (pow x 3))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* -2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* 3 x)>
#<alt (* x (+ 3 (* -2 x)))>
#<alt (* x (+ 3 (* -2 x)))>
#<alt (* x (+ 3 (* -2 x)))>
#<alt (* -2 (pow x 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))>
#<alt (* -2 (pow x 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))>
#<alt 3>
#<alt (+ 3 (* -2 x))>
#<alt (+ 3 (* -2 x))>
#<alt (+ 3 (* -2 x))>
#<alt (* -2 x)>
#<alt (* x (- (* 3 (/ 1 x)) 2))>
#<alt (* x (- (* 3 (/ 1 x)) 2))>
#<alt (* x (- (* 3 (/ 1 x)) 2))>
#<alt (* -2 x)>
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* -2 (pow x 3))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* -2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 3>
#<alt (+ 3 (* -2 x))>
#<alt (+ 3 (* -2 x))>
#<alt (+ 3 (* -2 x))>
#<alt (* -2 x)>
#<alt (* x (- (* 3 (/ 1 x)) 2))>
#<alt (* x (- (* 3 (/ 1 x)) 2))>
#<alt (* x (- (* 3 (/ 1 x)) 2))>
#<alt (* -2 x)>
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* -2 (pow x 3))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* -2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 3))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (* -2 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* -2 (pow x 3))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* -2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* -2 (pow x 3))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* -2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (* -4/27 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* -8/81 x) 4/27))))>
#<alt (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* x (- (* 32/729 (pow x 2)) 8/81)) 4/27))))>
#<alt (* -1/2 x)>
#<alt (* x (- (* 9/8 (/ 1 (pow x 2))) 1/2))>
#<alt (* x (- (+ (* 9/8 (/ 1 (pow x 2))) (/ 27/16 (pow x 3))) 1/2))>
#<alt (* x (- (+ (* 9/8 (/ 1 (pow x 2))) (/ 27/16 (pow x 3))) (+ 1/2 (* 243/64 (/ 1 (pow x 5))))))>
#<alt (* -1/2 x)>
#<alt (* -1 (* x (- 1/2 (* 9/8 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (+ 1/2 (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1/2 (* -1 (/ (- 27/16 (* 243/64 (/ 1 (pow x 2)))) (pow x 3)))) (* 9/8 (/ 1 (pow x 2))))))>
#<alt (* 9 (pow x 2))>
#<alt (* (pow x 2) (+ 9 (* -4 (pow x 2))))>
#<alt (* (pow x 2) (+ 9 (* -4 (pow x 2))))>
#<alt (* (pow x 2) (+ 9 (* -4 (pow x 2))))>
#<alt (* -4 (pow x 4))>
#<alt (* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))>
#<alt (* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))>
#<alt (* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))>
#<alt (* -4 (pow x 4))>
#<alt (* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))>
#<alt (* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))>
#<alt (* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))>
#<alt (* -3 (pow x 2))>
#<alt (* -3 (pow x 2))>
#<alt (* -3 (pow x 2))>
#<alt (* -3 (pow x 2))>
#<alt (* -3 (pow x 2))>
#<alt (* -3 (pow x 2))>
#<alt (* -3 (pow x 2))>
#<alt (* -3 (pow x 2))>
#<alt (* -3 (pow x 2))>
#<alt (* -3 (pow x 2))>
#<alt (* -3 (pow x 2))>
#<alt (* -3 (pow x 2))>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
Calls

51 calls:

TimeVariablePointExpression
4.0ms
x
@inf
(* (/ (* (* x x) (+ (* (* x x) -4) 9)) (+ (* (* x (* x x)) 8) 27)) (+ (* x (+ (* x 4) -6)) 9))
2.0ms
x
@0
(* (/ (* (* x x) (+ (* (* x x) -4) 9)) (+ (* (* x (* x x)) 8) 27)) (+ (* x (+ (* x 4) -6)) 9))
1.0ms
x
@-inf
(* (/ (* (* x x) (+ (* (* x x) -4) 9)) (+ (* (* x (* x x)) 8) 27)) (+ (* x (+ (* x 4) -6)) 9))
0.0ms
x
@inf
(/ (* (* x x) (+ (* (* x x) -4) 9)) (+ (* (* x (* x x)) 8) 27))
0.0ms
x
@inf
(* (* x x) (+ (* (* x x) -4) 9))

simplify361.0ms (3.8%)

Memory
20.5MiB live, 458.9MiB allocated
Algorithm
egg-herbie
Rules
9 692×lower-fma.f64
9 692×lower-fma.f32
3 588×lower-*.f64
3 588×lower-*.f32
1 670×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01021270
12721270
27301270
319971258
454971250
081581157
Stop Event
iter limit
node limit
Counts
204 → 204
Calls
Call 1
Inputs
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* 3 x)
(* x (+ 3 (* -2 x)))
(* x (+ 3 (* -2 x)))
(* x (+ 3 (* -2 x)))
(* -2 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
3
(+ 3 (* -2 x))
(+ 3 (* -2 x))
(+ 3 (* -2 x))
(* -2 x)
(* x (- (* 3 (/ 1 x)) 2))
(* x (- (* 3 (/ 1 x)) 2))
(* x (- (* 3 (/ 1 x)) 2))
(* -2 x)
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
3
(+ 3 (* -2 x))
(+ 3 (* -2 x))
(+ 3 (* -2 x))
(* -2 x)
(* x (- (* 3 (/ 1 x)) 2))
(* x (- (* 3 (/ 1 x)) 2))
(* x (- (* 3 (/ 1 x)) 2))
(* -2 x)
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 3))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(* -2 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* -4/27 (pow x 2))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (- (* -8/81 x) 4/27))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (- (* x (- (* 32/729 (pow x 2)) 8/81)) 4/27))))
(* -1/2 x)
(* x (- (* 9/8 (/ 1 (pow x 2))) 1/2))
(* x (- (+ (* 9/8 (/ 1 (pow x 2))) (/ 27/16 (pow x 3))) 1/2))
(* x (- (+ (* 9/8 (/ 1 (pow x 2))) (/ 27/16 (pow x 3))) (+ 1/2 (* 243/64 (/ 1 (pow x 5))))))
(* -1/2 x)
(* -1 (* x (- 1/2 (* 9/8 (/ 1 (pow x 2))))))
(* -1 (* x (+ 1/2 (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))))))
(* -1 (* x (- (+ 1/2 (* -1 (/ (- 27/16 (* 243/64 (/ 1 (pow x 2)))) (pow x 3)))) (* 9/8 (/ 1 (pow x 2))))))
(* 9 (pow x 2))
(* (pow x 2) (+ 9 (* -4 (pow x 2))))
(* (pow x 2) (+ 9 (* -4 (pow x 2))))
(* (pow x 2) (+ 9 (* -4 (pow x 2))))
(* -4 (pow x 4))
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))
(* -4 (pow x 4))
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))
(* -3 (pow x 2))
(* -3 (pow x 2))
(* -3 (pow x 2))
(* -3 (pow x 2))
(* -3 (pow x 2))
(* -3 (pow x 2))
(* -3 (pow x 2))
(* -3 (pow x 2))
(* -3 (pow x 2))
(* -3 (pow x 2))
(* -3 (pow x 2))
(* -3 (pow x 2))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
Outputs
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (* -2 x)))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* x (+ 3 (* -2 x)))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* x (+ 3 (* -2 x)))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
3
#s(literal 3 binary64)
(+ 3 (* -2 x))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(+ 3 (* -2 x))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(+ 3 (* -2 x))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* x (- (* 3 (/ 1 x)) 2))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 2))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 2))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
3
#s(literal 3 binary64)
(+ 3 (* -2 x))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(+ 3 (* -2 x))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(+ 3 (* -2 x))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* x (- (* 3 (/ 1 x)) 2))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 2))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 2))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* 1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/3 binary64)))
(* (pow x 2) (+ 1/3 (* -4/27 (pow x 2))))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -4/27 binary64)) #s(literal 1/3 binary64)))
(* (pow x 2) (+ 1/3 (* (pow x 2) (- (* -8/81 x) 4/27))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x #s(literal -8/81 binary64) #s(literal -4/27 binary64)) #s(literal 1/3 binary64))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (- (* x (- (* 32/729 (pow x 2)) 8/81)) 4/27))))
(*.f64 x (*.f64 x (fma.f64 x (*.f64 x (fma.f64 x (fma.f64 (*.f64 x x) #s(literal 32/729 binary64) #s(literal -8/81 binary64)) #s(literal -4/27 binary64))) #s(literal 1/3 binary64))))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* x (- (* 9/8 (/ 1 (pow x 2))) 1/2))
(fma.f64 x #s(literal -1/2 binary64) (/.f64 #s(literal 9/8 binary64) x))
(* x (- (+ (* 9/8 (/ 1 (pow x 2))) (/ 27/16 (pow x 3))) 1/2))
(fma.f64 x #s(literal -1/2 binary64) (/.f64 (fma.f64 x #s(literal 9/8 binary64) #s(literal 27/16 binary64)) (*.f64 x x)))
(* x (- (+ (* 9/8 (/ 1 (pow x 2))) (/ 27/16 (pow x 3))) (+ 1/2 (* 243/64 (/ 1 (pow x 5))))))
(-.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (fma.f64 x #s(literal 9/8 binary64) (-.f64 #s(literal 27/16 binary64) (/.f64 #s(literal 243/64 binary64) (*.f64 x x))))))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1 (* x (- 1/2 (* 9/8 (/ 1 (pow x 2))))))
(fma.f64 x #s(literal -1/2 binary64) (/.f64 #s(literal 9/8 binary64) x))
(* -1 (* x (+ 1/2 (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))))))
(fma.f64 x #s(literal -1/2 binary64) (/.f64 (fma.f64 x #s(literal 9/8 binary64) #s(literal 27/16 binary64)) (*.f64 x x)))
(* -1 (* x (- (+ 1/2 (* -1 (/ (- 27/16 (* 243/64 (/ 1 (pow x 2)))) (pow x 3)))) (* 9/8 (/ 1 (pow x 2))))))
(-.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (fma.f64 x #s(literal 9/8 binary64) (-.f64 #s(literal 27/16 binary64) (/.f64 #s(literal 243/64 binary64) (*.f64 x x))))))
(* 9 (pow x 2))
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(* (pow x 2) (+ 9 (* -4 (pow x 2))))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -4 binary64)) #s(literal 9 binary64)))
(* (pow x 2) (+ 9 (* -4 (pow x 2))))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -4 binary64)) #s(literal 9 binary64)))
(* (pow x 2) (+ 9 (* -4 (pow x 2))))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -4 binary64)) #s(literal 9 binary64)))
(* -4 (pow x 4))
(*.f64 #s(literal -4 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -4 binary64)) #s(literal 9 binary64)))
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -4 binary64)) #s(literal 9 binary64)))
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -4 binary64)) #s(literal 9 binary64)))
(* -4 (pow x 4))
(*.f64 #s(literal -4 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -4 binary64)) #s(literal 9 binary64)))
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -4 binary64)) #s(literal 9 binary64)))
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))
(*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -4 binary64)) #s(literal 9 binary64)))
(* -3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -3 binary64))
(* -3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -3 binary64))
(* -3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -3 binary64))
(* -3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -3 binary64))
(* -3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -3 binary64))
(* -3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -3 binary64))
(* -3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -3 binary64))
(* -3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -3 binary64))
(* -3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -3 binary64))
(* -3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -3 binary64))
(* -3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -3 binary64))
(* -3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -3 binary64))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))

rewrite525.0ms (5.6%)

Memory
-18.3MiB live, 776.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 682×lower-/.f32
4 676×lower-/.f64
4 520×lower-fma.f32
4 510×lower-fma.f64
4 332×lower-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
036154
062135
1255129
21961122
08373122
Stop Event
iter limit
node limit
iter limit
Counts
17 → 1 537
Calls
Call 1
Inputs
(*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(fma.f64 x #s(literal -2 binary64) #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 x (*.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x #s(literal -3 binary64))))
(*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x)))
(*.f64 #s(literal -2 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64))) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal -6 binary64)) #s(literal 9 binary64)))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64)))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)))
(*.f64 x (*.f64 x #s(literal -3 binary64)))
(*.f64 x (*.f64 x x))
Outputs
(+.f64 (*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 3 binary64)))
(+.f64 (*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x #s(literal 3 binary64))))
(+.f64 (*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 #s(literal 3 binary64) (*.f64 x x)))
(+.f64 (*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 (*.f64 x #s(literal 3 binary64)) x))
(+.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x))))
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x))))
(-.f64 (*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -3 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)))) (fma.f64 (*.f64 (*.f64 x x) #s(literal -3 binary64)) (*.f64 x (fma.f64 x (*.f64 x #s(literal -2 binary64)) (*.f64 x #s(literal -3 binary64)))) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -27 binary64))) (fma.f64 (*.f64 (*.f64 x x) #s(literal -3 binary64)) (*.f64 x (fma.f64 x (*.f64 x #s(literal -2 binary64)) (*.f64 x #s(literal -3 binary64)))) (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))))
(-.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 x (fma.f64 x (*.f64 x #s(literal -2 binary64)) (*.f64 x #s(literal -3 binary64))))) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (*.f64 x (fma.f64 x (*.f64 x #s(literal -2 binary64)) (*.f64 x #s(literal -3 binary64))))))
(-.f64 (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 (/.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (fma.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 (/.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) (/.f64 #s(literal 9 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))))
(-.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 3 binary64)))))
(fma.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 3 binary64)))
(fma.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 3 binary64))))
(fma.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x)) (*.f64 #s(literal 3 binary64) (*.f64 x x)))
(fma.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x)) (*.f64 (*.f64 x #s(literal 3 binary64)) x))
(fma.f64 x (neg.f64 (*.f64 x #s(literal -3 binary64))) (*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x))))
(fma.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal 3 binary64)))
(fma.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)) (*.f64 #s(literal 3 binary64) (*.f64 x x)))
(fma.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x #s(literal 3 binary64)) x))
(fma.f64 #s(literal 3 binary64) (*.f64 x x) (*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x))))
(fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x))))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64)) (*.f64 (*.f64 x x) #s(literal 3 binary64)))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64)) (*.f64 x (*.f64 x #s(literal 3 binary64))))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 x x)))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64)) (*.f64 (*.f64 x #s(literal 3 binary64)) x))
(fma.f64 (*.f64 x x) (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x x) #s(literal 3 binary64)))
(fma.f64 (*.f64 x x) (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x (*.f64 x #s(literal 3 binary64))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 3 binary64) (*.f64 x x)))
(fma.f64 (*.f64 x x) (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x #s(literal 3 binary64)) x))
(fma.f64 #s(literal 2 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 3 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 x (*.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 2 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 #s(literal 3 binary64) (*.f64 x x)))
(fma.f64 #s(literal 2 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x x))) (*.f64 (*.f64 x #s(literal 3 binary64)) x))
(fma.f64 #s(literal 2 binary64) (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 3 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x (*.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 2 binary64) (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 #s(literal 3 binary64) (*.f64 x x)))
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(*.f64 #s(literal -3 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal -3 binary64)) x)
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -3 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (/.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 (*.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (neg.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (*.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(*.f64 x (*.f64 x x))
(*.f64 (*.f64 x x) x)
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(*.f64 (neg.f64 x) (*.f64 x (neg.f64 x)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 x (neg.f64 x)))
(*.f64 (/.f64 x #s(literal -1 binary64)) (*.f64 x (neg.f64 x)))

eval432.0ms (4.6%)

Memory
29.0MiB live, 454.7MiB allocated
Compiler

Compiled 55 977 to 3 338 computations (94% saved)

prune216.0ms (2.3%)

Memory
-5.1MiB live, 425.2MiB allocated
Pruning

18 alts after pruning (14 fresh and 4 done)

PrunedKeptTotal
New1 97781 985
Fresh5611
Picked325
Done123
Total1 986182 004
Accuracy
100.0%
Counts
2 004 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
89.3%
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -2 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) x))
99.7%
(/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
99.7%
(/.f64 (*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))) (/.f64 #s(literal -1 binary64) x))
9.4%
(/.f64 #s(approx (- (* (* x x) (* (* x x) (* x (* x 4)))) (* (* x x) (* (* x x) 9))) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 4 binary64)))))) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) (*.f64 #s(literal 3 binary64) (*.f64 x x))))
99.7%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) x))
62.6%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (* x (+ (* x -2) 3)))) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))
74.2%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (* x (+ (* x -2) 3)))) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))))
99.8%
(*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 x #s(literal 3 binary64))) x)
99.8%
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x))) x)
99.7%
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
99.8%
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x))
99.8%
(*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)
93.6%
(*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))
67.4%
(*.f64 (*.f64 x (*.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 8 binary64)) #s(literal 27 binary64))))) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal -6 binary64)) #s(literal 9 binary64)))
74.2%
(*.f64 (*.f64 x #s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64)))) x)
62.7%
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
66.9%
(*.f64 #s(approx (/ (* (* x x) (+ (* (* x x) -4) 9)) (+ (* (* x (* x x)) 8) 27)) (*.f64 x (*.f64 x #s(literal 1/3 binary64)))) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal -6 binary64)) #s(literal 9 binary64)))
62.7%
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x (*.f64 x #s(literal 3 binary64))))
Compiler

Compiled 436 to 280 computations (35.8% saved)

simplify328.0ms (3.5%)

Memory
22.0MiB live, 469.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
cost-diff0
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
cost-diff384
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
cost-diff0
(/.f64 #s(literal -1 binary64) x)
cost-diff0
(fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))
cost-diff0
(*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)))
cost-diff1088
(/.f64 (*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))) (/.f64 #s(literal -1 binary64) x))
cost-diff0
(*.f64 x #s(literal 1/3 binary64))
cost-diff0
(*.f64 x (*.f64 x #s(literal 1/3 binary64)))
cost-diff0
#s(approx (/ (* (* x x) (+ (* (* x x) -4) 9)) (+ (* (* x (* x x)) 8) 27)) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))
cost-diff0
(*.f64 #s(approx (/ (* (* x x) (+ (* (* x x) -4) 9)) (+ (* (* x (* x x)) 8) 27)) (*.f64 x (*.f64 x #s(literal 1/3 binary64)))) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal -6 binary64)) #s(literal 9 binary64)))
cost-diff0
(*.f64 x #s(literal -2 binary64))
cost-diff0
#s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64)))
cost-diff0
(*.f64 x #s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64))))
cost-diff0
(*.f64 (*.f64 x #s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64)))) x)
cost-diff0
(*.f64 x #s(literal 3 binary64))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 x #s(literal 3 binary64))) x)
cost-diff320
(fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 x #s(literal 3 binary64)))
Rules
5 368×lower-fma.f32
5 358×lower-fma.f64
3 064×lower-*.f32
3 042×lower-*.f64
3 034×lower-neg.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047210
072200
1144192
2282192
3662192
41162192
51680192
62192192
72564188
82980188
93445188
103868188
115254188
08924184
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 x #s(literal 3 binary64))) x)
(fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 x #s(literal 3 binary64)))
(*.f64 x x)
x
#s(literal -2 binary64)
(*.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 (*.f64 x #s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64)))) x)
(*.f64 x #s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64))))
x
#s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64)))
(*.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
(*.f64 #s(approx (/ (* (* x x) (+ (* (* x x) -4) 9)) (+ (* (* x (* x x)) 8) 27)) (*.f64 x (*.f64 x #s(literal 1/3 binary64)))) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal -6 binary64)) #s(literal 9 binary64)))
#s(approx (/ (* (* x x) (+ (* (* x x) -4) 9)) (+ (* (* x (* x x)) 8) 27)) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))
(*.f64 x (*.f64 x #s(literal 1/3 binary64)))
x
(*.f64 x #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal -6 binary64)) #s(literal 9 binary64))
(fma.f64 x #s(literal 4 binary64) #s(literal -6 binary64))
#s(literal 4 binary64)
#s(literal -6 binary64)
#s(literal 9 binary64)
(/.f64 (*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))) (/.f64 #s(literal -1 binary64) x))
(*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)))
x
(fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))
#s(literal 2 binary64)
#s(literal -3 binary64)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
x
#s(literal -2 binary64)
#s(literal 3 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
#s(literal 1 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 1 binary64) x)
Outputs
(*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 x #s(literal 3 binary64))) x)
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 x #s(literal 3 binary64)))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(*.f64 x x)
x
#s(literal -2 binary64)
(*.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 (*.f64 x #s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64)))) x)
(*.f64 #s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64))) (*.f64 x x))
(*.f64 x #s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64))))
x
#s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64)))
(*.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
(*.f64 #s(approx (/ (* (* x x) (+ (* (* x x) -4) 9)) (+ (* (* x (* x x)) 8) 27)) (*.f64 x (*.f64 x #s(literal 1/3 binary64)))) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal -6 binary64)) #s(literal 9 binary64)))
#s(approx (/ (* (* x x) (+ (* (* x x) -4) 9)) (+ (* (* x (* x x)) 8) 27)) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))
(*.f64 x (*.f64 x #s(literal 1/3 binary64)))
x
(*.f64 x #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal -6 binary64)) #s(literal 9 binary64))
(fma.f64 x #s(literal 4 binary64) #s(literal -6 binary64))
#s(literal 4 binary64)
#s(literal -6 binary64)
#s(literal 9 binary64)
(/.f64 (*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))) (/.f64 #s(literal -1 binary64) x))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)))
x
(fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))
#s(literal 2 binary64)
#s(literal -3 binary64)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
x
#s(literal -2 binary64)
#s(literal 3 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(*.f64 x x)
#s(literal 1 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) x)

localize127.0ms (1.3%)

Memory
1.3MiB live, 276.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
accuracy99.9%
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
accuracy99.8%
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
accuracy99.8%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
accuracy100.0%
(fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))
accuracy100.0%
(/.f64 #s(literal -1 binary64) x)
accuracy99.9%
(*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)))
accuracy99.8%
(/.f64 (*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))) (/.f64 #s(literal -1 binary64) x))
accuracy99.8%
(*.f64 #s(approx (/ (* (* x x) (+ (* (* x x) -4) 9)) (+ (* (* x (* x x)) 8) 27)) (*.f64 x (*.f64 x #s(literal 1/3 binary64)))) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal -6 binary64)) #s(literal 9 binary64)))
accuracy99.8%
(*.f64 x (*.f64 x #s(literal 1/3 binary64)))
accuracy99.4%
(*.f64 x #s(literal 1/3 binary64))
accuracy51.1%
#s(approx (/ (* (* x x) (+ (* (* x x) -4) 9)) (+ (* (* x (* x x)) 8) 27)) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))
accuracy100.0%
(*.f64 x #s(literal -2 binary64))
accuracy99.9%
(*.f64 x #s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64))))
accuracy99.8%
(*.f64 (*.f64 x #s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64)))) x)
accuracy51.8%
#s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64)))
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(*.f64 x #s(literal 3 binary64))
accuracy99.8%
(fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 x #s(literal 3 binary64)))
accuracy99.8%
(*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 x #s(literal 3 binary64))) x)
Samples
62.0ms236×0valid
5.0ms12×1valid
4.0ms2valid
Compiler

Compiled 203 to 48 computations (76.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-mult: 28.0ms (54% of total)
ival-div: 9.0ms (17.4% of total)
ival-add: 8.0ms (15.4% of total)
const: 4.0ms (7.7% of total)
adjust: 1.0ms (1.9% of total)
exact: 1.0ms (1.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series28.0ms (0.3%)

Memory
-19.7MiB live, 18.7MiB allocated
Counts
21 → 252
Calls
Call 1
Inputs
#<alt (fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 x #s(literal 3 binary64))) x)>
#<alt (*.f64 x x)>
#<alt (*.f64 x #s(literal 3 binary64))>
#<alt (*.f64 (*.f64 x #s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64)))) x)>
#<alt (*.f64 x #s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64))))>
#<alt #s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64)))>
#<alt (*.f64 x #s(literal -2 binary64))>
#<alt (*.f64 #s(approx (/ (* (* x x) (+ (* (* x x) -4) 9)) (+ (* (* x (* x x)) 8) 27)) (*.f64 x (*.f64 x #s(literal 1/3 binary64)))) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal -6 binary64)) #s(literal 9 binary64)))>
#<alt #s(approx (/ (* (* x x) (+ (* (* x x) -4) 9)) (+ (* (* x (* x x)) 8) 27)) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))>
#<alt (*.f64 x (*.f64 x #s(literal 1/3 binary64)))>
#<alt (*.f64 x #s(literal 1/3 binary64))>
#<alt (/.f64 (*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))) (/.f64 #s(literal -1 binary64) x))>
#<alt (*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)))>
#<alt (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))>
#<alt (/.f64 #s(literal -1 binary64) x)>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) x) x)>
#<alt (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))>
#<alt (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))>
#<alt (/.f64 #s(literal 1 binary64) x)>
Outputs
#<alt (* 3 x)>
#<alt (* x (+ 3 (* -2 x)))>
#<alt (* x (+ 3 (* -2 x)))>
#<alt (* x (+ 3 (* -2 x)))>
#<alt (* -2 (pow x 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))>
#<alt (* -2 (pow x 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* -2 (pow x 3))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* -2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 x)>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* -2 (pow x 3))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* -2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* 3 x)>
#<alt (* x (+ 3 (* -2 x)))>
#<alt (* x (+ 3 (* -2 x)))>
#<alt (* x (+ 3 (* -2 x)))>
#<alt (* -2 (pow x 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))>
#<alt (* -2 (pow x 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))>
#<alt 3>
#<alt (+ 3 (* -2 x))>
#<alt (+ 3 (* -2 x))>
#<alt (+ 3 (* -2 x))>
#<alt (* -2 x)>
#<alt (* x (- (* 3 (/ 1 x)) 2))>
#<alt (* x (- (* 3 (/ 1 x)) 2))>
#<alt (* x (- (* 3 (/ 1 x)) 2))>
#<alt (* -2 x)>
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* -2 x)>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* -2 (pow x 3))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* -2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* (pow x 2) (+ 1/3 (* -4/27 (pow x 2))))>
#<alt (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* -8/81 x) 4/27))))>
#<alt (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* x (- (* 32/729 (pow x 2)) 8/81)) 4/27))))>
#<alt (* -1/2 x)>
#<alt (* x (- (* 9/8 (/ 1 (pow x 2))) 1/2))>
#<alt (* x (- (+ (* 9/8 (/ 1 (pow x 2))) (/ 27/16 (pow x 3))) 1/2))>
#<alt (* x (- (+ (* 9/8 (/ 1 (pow x 2))) (/ 27/16 (pow x 3))) (+ 1/2 (* 243/64 (/ 1 (pow x 5))))))>
#<alt (* -1/2 x)>
#<alt (* -1 (* x (- 1/2 (* 9/8 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (+ 1/2 (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))))))>
#<alt (* -1 (* x (- (+ 1/2 (* -1 (/ (- 27/16 (* 243/64 (/ 1 (pow x 2)))) (pow x 3)))) (* 9/8 (/ 1 (pow x 2))))))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 (pow x 2))>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* -2 (pow x 3))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* -2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -3 x)>
#<alt (* x (- (* 2 x) 3))>
#<alt (* x (- (* 2 x) 3))>
#<alt (* x (- (* 2 x) 3))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (- 2 (* 3 (/ 1 x))))>
#<alt (* (pow x 2) (- 2 (* 3 (/ 1 x))))>
#<alt (* (pow x 2) (- 2 (* 3 (/ 1 x))))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (- 2 (* 3 (/ 1 x))))>
#<alt (* (pow x 2) (- 2 (* 3 (/ 1 x))))>
#<alt (* (pow x 2) (- 2 (* 3 (/ 1 x))))>
#<alt -3>
#<alt (- (* 2 x) 3)>
#<alt (- (* 2 x) 3)>
#<alt (- (* 2 x) 3)>
#<alt (* 2 x)>
#<alt (* x (- 2 (* 3 (/ 1 x))))>
#<alt (* x (- 2 (* 3 (/ 1 x))))>
#<alt (* x (- 2 (* 3 (/ 1 x))))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* 3 (/ 1 x)) 2)))>
#<alt (* -1 (* x (- (* 3 (/ 1 x)) 2)))>
#<alt (* -1 (* x (- (* 3 (/ 1 x)) 2)))>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (* 3 (pow x 2))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* (pow x 2) (+ 3 (* -2 x)))>
#<alt (* -2 (pow x 3))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))>
#<alt (* -2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))>
#<alt 3>
#<alt (+ 3 (* -2 x))>
#<alt (+ 3 (* -2 x))>
#<alt (+ 3 (* -2 x))>
#<alt (* -2 x)>
#<alt (* x (- (* 3 (/ 1 x)) 2))>
#<alt (* x (- (* 3 (/ 1 x)) 2))>
#<alt (* x (- (* 3 (/ 1 x)) 2))>
#<alt (* -2 x)>
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))>
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
Calls

63 calls:

TimeVariablePointExpression
20.0ms
x
@-inf
(/ (* x (+ (* x 2) -3)) (/ -1 x))
2.0ms
x
@inf
(/ -1 x)
0.0ms
x
@inf
(* x (* x 1/3))
0.0ms
x
@-inf
(* x 1/3)
0.0ms
x
@inf
(/ (* x (+ (* x 2) -3)) (/ -1 x))

simplify407.0ms (4.3%)

Memory
-14.5MiB live, 512.9MiB allocated
Algorithm
egg-herbie
Rules
8 722×lower-fma.f64
8 722×lower-fma.f32
2 938×lower-*.f64
2 938×lower-*.f32
1 666×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0981384
12611384
27061384
319631372
452981364
577951364
081851253
Stop Event
iter limit
node limit
Counts
252 → 252
Calls
Call 1
Inputs
(* 3 x)
(* x (+ 3 (* -2 x)))
(* x (+ 3 (* -2 x)))
(* x (+ 3 (* -2 x)))
(* -2 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 x)
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* 3 x)
(* x (+ 3 (* -2 x)))
(* x (+ 3 (* -2 x)))
(* x (+ 3 (* -2 x)))
(* -2 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
3
(+ 3 (* -2 x))
(+ 3 (* -2 x))
(+ 3 (* -2 x))
(* -2 x)
(* x (- (* 3 (/ 1 x)) 2))
(* x (- (* 3 (/ 1 x)) 2))
(* x (- (* 3 (/ 1 x)) 2))
(* -2 x)
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* -2 x)
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* -4/27 (pow x 2))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (- (* -8/81 x) 4/27))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (- (* x (- (* 32/729 (pow x 2)) 8/81)) 4/27))))
(* -1/2 x)
(* x (- (* 9/8 (/ 1 (pow x 2))) 1/2))
(* x (- (+ (* 9/8 (/ 1 (pow x 2))) (/ 27/16 (pow x 3))) 1/2))
(* x (- (+ (* 9/8 (/ 1 (pow x 2))) (/ 27/16 (pow x 3))) (+ 1/2 (* 243/64 (/ 1 (pow x 5))))))
(* -1/2 x)
(* -1 (* x (- 1/2 (* 9/8 (/ 1 (pow x 2))))))
(* -1 (* x (+ 1/2 (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))))))
(* -1 (* x (- (+ 1/2 (* -1 (/ (- 27/16 (* 243/64 (/ 1 (pow x 2)))) (pow x 3)))) (* 9/8 (/ 1 (pow x 2))))))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 (pow x 2))
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -3 x)
(* x (- (* 2 x) 3))
(* x (- (* 2 x) 3))
(* x (- (* 2 x) 3))
(* 2 (pow x 2))
(* (pow x 2) (- 2 (* 3 (/ 1 x))))
(* (pow x 2) (- 2 (* 3 (/ 1 x))))
(* (pow x 2) (- 2 (* 3 (/ 1 x))))
(* 2 (pow x 2))
(* (pow x 2) (- 2 (* 3 (/ 1 x))))
(* (pow x 2) (- 2 (* 3 (/ 1 x))))
(* (pow x 2) (- 2 (* 3 (/ 1 x))))
-3
(- (* 2 x) 3)
(- (* 2 x) 3)
(- (* 2 x) 3)
(* 2 x)
(* x (- 2 (* 3 (/ 1 x))))
(* x (- 2 (* 3 (/ 1 x))))
(* x (- 2 (* 3 (/ 1 x))))
(* 2 x)
(* -1 (* x (- (* 3 (/ 1 x)) 2)))
(* -1 (* x (- (* 3 (/ 1 x)) 2)))
(* -1 (* x (- (* 3 (/ 1 x)) 2)))
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* (pow x 2) (+ 3 (* -2 x)))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
3
(+ 3 (* -2 x))
(+ 3 (* -2 x))
(+ 3 (* -2 x))
(* -2 x)
(* x (- (* 3 (/ 1 x)) 2))
(* x (- (* 3 (/ 1 x)) 2))
(* x (- (* 3 (/ 1 x)) 2))
(* -2 x)
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
Outputs
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (* -2 x)))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* x (+ 3 (* -2 x)))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* x (+ 3 (* -2 x)))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -2 (pow x 2))
(*.f64 #s(literal -2 binary64) (*.f64 x x))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -2 (pow x 2))
(*.f64 #s(literal -2 binary64) (*.f64 x x))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (* -2 x)))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* x (+ 3 (* -2 x)))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* x (+ 3 (* -2 x)))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -2 (pow x 2))
(*.f64 #s(literal -2 binary64) (*.f64 x x))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -2 (pow x 2))
(*.f64 #s(literal -2 binary64) (*.f64 x x))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
3
#s(literal 3 binary64)
(+ 3 (* -2 x))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(+ 3 (* -2 x))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(+ 3 (* -2 x))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* x (- (* 3 (/ 1 x)) 2))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 2))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 2))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* 1/3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/3 binary64))
(* (pow x 2) (+ 1/3 (* -4/27 (pow x 2))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -4/27 binary64) #s(literal 1/3 binary64))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (- (* -8/81 x) 4/27))))
(*.f64 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x #s(literal -8/81 binary64) #s(literal -4/27 binary64)) #s(literal 1/3 binary64))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (- (* x (- (* 32/729 (pow x 2)) 8/81)) 4/27))))
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 (*.f64 x x) #s(literal 32/729 binary64) #s(literal -8/81 binary64)) #s(literal -4/27 binary64)) #s(literal 1/3 binary64)))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* x (- (* 9/8 (/ 1 (pow x 2))) 1/2))
(fma.f64 x #s(literal -1/2 binary64) (/.f64 #s(literal 9/8 binary64) x))
(* x (- (+ (* 9/8 (/ 1 (pow x 2))) (/ 27/16 (pow x 3))) 1/2))
(fma.f64 x #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 9/8 binary64) (/.f64 #s(literal 27/16 binary64) x)) x))
(* x (- (+ (* 9/8 (/ 1 (pow x 2))) (/ 27/16 (pow x 3))) (+ 1/2 (* 243/64 (/ 1 (pow x 5))))))
(fma.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 27/16 binary64) (/.f64 #s(literal -243/64 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 9/8 binary64) x))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1 (* x (- 1/2 (* 9/8 (/ 1 (pow x 2))))))
(fma.f64 x #s(literal -1/2 binary64) (/.f64 #s(literal 9/8 binary64) x))
(* -1 (* x (+ 1/2 (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))))))
(fma.f64 x #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 9/8 binary64) (/.f64 #s(literal 27/16 binary64) x)) x))
(* -1 (* x (- (+ 1/2 (* -1 (/ (- 27/16 (* 243/64 (/ 1 (pow x 2)))) (pow x 3)))) (* 9/8 (/ 1 (pow x 2))))))
(fma.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 27/16 binary64) (/.f64 #s(literal -243/64 binary64) (*.f64 x x))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 9/8 binary64) x))
(* 1/3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/3 binary64))
(* 1/3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/3 binary64))
(* 1/3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/3 binary64))
(* 1/3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/3 binary64))
(* 1/3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/3 binary64))
(* 1/3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/3 binary64))
(* 1/3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/3 binary64))
(* 1/3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/3 binary64))
(* 1/3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/3 binary64))
(* 1/3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/3 binary64))
(* 1/3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/3 binary64))
(* 1/3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* x (- (* 2 x) 3))
(*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)))
(* x (- (* 2 x) 3))
(*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)))
(* x (- (* 2 x) 3))
(*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)))
(* 2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* (pow x 2) (- 2 (* 3 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)))
(* (pow x 2) (- 2 (* 3 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)))
(* (pow x 2) (- 2 (* 3 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)))
(* 2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* (pow x 2) (- 2 (* 3 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)))
(* (pow x 2) (- 2 (* 3 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)))
(* (pow x 2) (- 2 (* 3 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)))
-3
#s(literal -3 binary64)
(- (* 2 x) 3)
(fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))
(- (* 2 x) 3)
(fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))
(- (* 2 x) 3)
(fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (- 2 (* 3 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))
(* x (- 2 (* 3 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))
(* x (- 2 (* 3 (/ 1 x))))
(fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* -1 (* x (- (* 3 (/ 1 x)) 2)))
(fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))
(* -1 (* x (- (* 3 (/ 1 x)) 2)))
(fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))
(* -1 (* x (- (* 3 (/ 1 x)) 2)))
(fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -2 (pow x 3))
(*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
3
#s(literal 3 binary64)
(+ 3 (* -2 x))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(+ 3 (* -2 x))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(+ 3 (* -2 x))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* x (- (* 3 (/ 1 x)) 2))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 2))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(* x (- (* 3 (/ 1 x)) 2))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)

rewrite509.0ms (5.4%)

Memory
17.8MiB live, 641.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
7 444×lower-fma.f32
7 434×lower-fma.f64
3 924×lower-/.f32
3 914×lower-/.f64
3 774×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047181
072171
1271162
21840161
08567157
Stop Event
iter limit
node limit
iter limit
Counts
21 → 750
Calls
Call 1
Inputs
(fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 x #s(literal 3 binary64)))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 x #s(literal 3 binary64))) x)
(*.f64 x x)
(*.f64 x #s(literal 3 binary64))
(*.f64 (*.f64 x #s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64)))) x)
(*.f64 x #s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64))))
#s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64)))
(*.f64 x #s(literal -2 binary64))
(*.f64 #s(approx (/ (* (* x x) (+ (* (* x x) -4) 9)) (+ (* (* x (* x x)) 8) 27)) (*.f64 x (*.f64 x #s(literal 1/3 binary64)))) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal -6 binary64)) #s(literal 9 binary64)))
#s(approx (/ (* (* x x) (+ (* (* x x) -4) 9)) (+ (* (* x (* x x)) 8) 27)) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))
(*.f64 x (*.f64 x #s(literal 1/3 binary64)))
(*.f64 x #s(literal 1/3 binary64))
(/.f64 (*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))) (/.f64 #s(literal -1 binary64) x))
(*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)))
(fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))
(/.f64 #s(literal -1 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) x)
Outputs
(+.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 x x)))
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(*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 8 binary64)) #s(literal 27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 x #s(literal -6 binary64))))))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal -27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64)))))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))))
(*.f64 (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x))
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) x)
(/.f64 #s(literal 1 binary64) x)
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)))))
(pow.f64 x #s(literal -1 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))

eval130.0ms (1.4%)

Memory
21.4MiB live, 272.6MiB allocated
Compiler

Compiled 19 675 to 1 719 computations (91.3% saved)

prune172.0ms (1.8%)

Memory
-11.1MiB live, 224.7MiB allocated
Pruning

16 alts after pruning (9 fresh and 7 done)

PrunedKeptTotal
New99931 002
Fresh369
Picked235
Done044
Total1 004161 020
Accuracy
100.0%
Counts
1 020 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
89.3%
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -2 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) x))
99.7%
(/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
41.2%
(/.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) x) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))
74.2%
(/.f64 (*.f64 x #s(approx (+ (* x 2) -3) (*.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) x))
99.7%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) x))
62.6%
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (* x (+ (* x -2) 3)))) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))
99.8%
(*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 x #s(literal 3 binary64))) x)
99.8%
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x))) x)
99.8%
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x))
99.8%
(*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)
67.4%
(*.f64 (*.f64 x (*.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 8 binary64)) #s(literal 27 binary64))))) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal -6 binary64)) #s(literal 9 binary64)))
74.2%
(*.f64 (*.f64 x #s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64)))) x)
62.7%
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
66.9%
(*.f64 #s(approx (/ (* (* x x) (+ (* (* x x) -4) 9)) (+ (* (* x (* x x)) 8) 27)) (*.f64 x (*.f64 x #s(literal 1/3 binary64)))) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal -6 binary64)) #s(literal 9 binary64)))
74.2%
(*.f64 #s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
62.7%
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x (*.f64 x #s(literal 3 binary64))))
Compiler

Compiled 813 to 271 computations (66.7% saved)

regimes23.0ms (0.2%)

Memory
20.2MiB live, 57.3MiB allocated
Counts
38 → 1
Calls
Call 1
Inputs
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x (*.f64 x #s(literal 3 binary64))))
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))
(*.f64 (*.f64 x #s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64)))) x)
(*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 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 #s(literal -2 binary64) (*.f64 x x))) x)
(*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 x #s(literal 3 binary64))) x)
(fma.f64 (*.f64 #s(literal 3 binary64) x) x (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -2 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x x)))
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -2 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) x))
(*.f64 #s(approx (/ (* (* x x) (+ (* (* x x) -4) 9)) (+ (* (* x (* x x)) 8) 27)) (*.f64 x (*.f64 x #s(literal 1/3 binary64)))) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal -6 binary64)) #s(literal 9 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (* x (+ (* x -2) 3)))) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(-.f64 (*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 x (*.f64 x #s(literal -3 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (* x (+ (* x -2) 3)))) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 x #s(approx (+ (* x 2) -3) (*.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) x))
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))))
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(/.f64 (*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))))
(/.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)))) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))
(*.f64 #s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(*.f64 (*.f64 x (*.f64 x (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (*.f64 x x)))
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) x))
(/.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) x) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))
(*.f64 (*.f64 x (*.f64 x (/.f64 (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 8 binary64)) #s(literal 27 binary64))))) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal -6 binary64)) #s(literal 9 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64))) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal -6 binary64)) #s(literal 9 binary64)))
(/.f64 #s(approx (- (* (* x x) (* (* x x) (* x (* x 4)))) (* (* x x) (* (* x x) 9))) (*.f64 x (*.f64 x (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 4 binary64)))))) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) (*.f64 #s(literal 3 binary64) (*.f64 x x))))
(*.f64 (*.f64 x x) (/.f64 (-.f64 (*.f64 #s(literal 9 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9 binary64)))) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) (*.f64 #s(literal 3 binary64) (*.f64 x x))))
(*.f64 (*.f64 x x) (/.f64 (-.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)) (*.f64 (*.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)) #s(literal 1/27 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)))) (*.f64 (*.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)) #s(literal 1/27 binary64)) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9 binary64))) (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))))
(*.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)))))))
Outputs
(fma.f64 (*.f64 #s(literal 3 binary64) x) x (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
Calls

2 calls:

11.0ms
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
10.0ms
x
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 12 to 8 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory
-18.7MiB live, 18.8MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x (*.f64 x #s(literal 3 binary64))))
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))
(*.f64 (*.f64 x #s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64)))) x)
(*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 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 #s(literal -2 binary64) (*.f64 x x))) x)
(*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 x #s(literal 3 binary64))) x)
Outputs
(*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 x #s(literal 3 binary64))) x)
Calls

2 calls:

4.0ms
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
3.0ms
x
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 12 to 8 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory
20.9MiB live, 20.9MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x (*.f64 x #s(literal 3 binary64))))
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))
(*.f64 (*.f64 x #s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64)))) x)
(*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 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 #s(literal -2 binary64) (*.f64 x x))) x)
Outputs
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x 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 12 to 8 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory
-23.7MiB live, 12.3MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x (*.f64 x #s(literal 3 binary64))))
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))
(*.f64 (*.f64 x #s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64)))) x)
(*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x))
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
Outputs
(*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)
Calls

2 calls:

5.0ms
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
3.0ms
x
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 12 to 8 computations (33.3% saved)

regimes4.0ms (0%)

Memory
10.7MiB live, 10.7MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x (*.f64 x #s(literal 3 binary64))))
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))
(*.f64 (*.f64 x #s(approx (+ (* x -2) 3) (*.f64 x #s(literal -2 binary64)))) x)
Outputs
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x (*.f64 x #s(literal 3 binary64))))
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))
Calls

2 calls:

2.0ms
x
2.0ms
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
Results
AccuracySegmentsBranch
98.3%3x
98.3%3(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes3.0ms (0%)

Memory
8.3MiB live, 8.3MiB allocated
Accuracy

Total -0.1b remaining (-0.2%)

Threshold costs -0.1b (-0.2%)

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

2 calls:

1.0ms
x
1.0ms
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
Results
AccuracySegmentsBranch
62.7%1x
62.7%1(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
Compiler

Compiled 12 to 8 computations (33.3% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.984887575456965
1.2179451753452672e+33
0.0ms
-11025736845078720.0
0.0
Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify12.0ms (0.1%)

Memory
-20.7MiB live, 24.4MiB allocated
Algorithm
egg-herbie
Rules
32×*-commutative_binary64
+-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037120
158120
269120
375120
479120
580120
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (*.f64 #s(literal 3 binary64) x) x (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 x #s(literal 3 binary64))) x)
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x))) x)
(*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)
(if (<=.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) #s(literal -10000000000000000 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 1 binary64)) #s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x (*.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))))
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x (*.f64 x #s(literal 3 binary64))))
Outputs
(fma.f64 (*.f64 #s(literal 3 binary64) x) x (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 x #s(literal 3 binary64))) x)
(*.f64 x (fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 #s(literal 3 binary64) x)))
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x))) x)
(*.f64 x (fma.f64 x #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x))))
(*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(if (<=.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) #s(literal -10000000000000000 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 1 binary64)) #s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x (*.f64 x #s(literal 3 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 -10000000000000000 binary64)) (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64)))) (if (<=.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x (*.f64 #s(literal 3 binary64) x))) (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))))))
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x (*.f64 x #s(literal 3 binary64))))
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x (*.f64 #s(literal 3 binary64) x)))

soundness896.0ms (9.5%)

Memory
-8.3MiB live, 482.0MiB allocated
Rules
20 650×lower-fma.f64
20 650×lower-fma.f32
9 334×lower-fma.f64
9 334×lower-fma.f32
4 682×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036154
062135
1255129
21961122
08373122
024220
163220
2165220
3494220
41369220
52276220
63140220
73877220
85631220
96275220
106644220
08428202
0720
01120
13520
221920
3175920
0851618
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 244 to 108 computations (55.7% saved)

preprocess44.0ms (0.5%)

Memory
9.8MiB live, 124.9MiB allocated
Compiler

Compiled 226 to 86 computations (61.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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