Data.Spline.Key:interpolateKeys from smoothie-0.4.0.2

Time bar (total: 8.3s)

analyze0.0ms (0%)

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

Compiled 11 to 9 computations (18.2% saved)

sample1.1s (13.4%)

Memory
28.6MiB live, 814.9MiB allocated
Samples
612.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 287.0ms
ival-mult: 203.0ms (70.8% of total)
ival-sub: 68.0ms (23.7% of total)
exact: 8.0ms (2.8% of total)
ival-true: 6.0ms (2.1% of total)
ival-assert: 3.0ms (1% of total)
Bogosity

preprocess73.0ms (0.9%)

Memory
-24.4MiB live, 70.5MiB allocated
Algorithm
1×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
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
Outputs
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))

explain100.0ms (1.2%)

Memory
16.9MiB live, 173.3MiB 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
28.0ms512×0valid
Compiler

Compiled 70 to 32 computations (54.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 11.0ms (66.7% of total)
ival-sub: 4.0ms (24.3% of total)
exact: 1.0ms (6.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune3.0ms (0%)

Memory
-35.5MiB live, 2.0MiB 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 (0.5%)

Memory
7.0MiB live, 84.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x #s(literal 2 binary64))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
✓cost-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
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(*.f64 x x)
x
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
#s(literal 3 binary64)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(*.f64 (*.f64 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)

localize24.0ms (0.3%)

Memory
13.1MiB live, 55.1MiB 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
14.0ms256×0valid
Compiler

Compiled 25 to 9 computations (64% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 7.0ms (82.4% of total)
ival-sub: 1.0ms (11.8% 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
7.0MiB live, 7.0MiB 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)

simplify488.0ms (5.9%)

Memory
-7.7MiB live, 656.2MiB allocated
Algorithm
1×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
1×iter limit
1×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))

rewrite490.0ms (5.9%)

Memory
5.0MiB live, 606.8MiB allocated
Algorithm
1×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
1×iter limit
1×node limit
1×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))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -9 binary64) (*.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64))))) (neg.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(-.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)))

eval69.0ms (0.8%)

Memory
24.9MiB live, 93.9MiB allocated
Compiler

Compiled 10 134 to 956 computations (90.6% saved)

prune50.0ms (0.6%)

Memory
-3.3MiB live, 115.5MiB allocated
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New32510335
Fresh000
Picked101
Done000
Total32610336
Accuracy
100.0%
Counts
336 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶85.0%
(fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
▶99.7%
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
99.8%
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))))
▶99.8%
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x))
95.7%
(*.f64 (*.f64 (*.f64 x x) (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))))
99.8%
(*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)
71.3%
(*.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)))))))
▶74.9%
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))
59.4%
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
▶59.4%
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x (*.f64 x #s(literal 3 binary64))))
Compiler

Compiled 250 to 150 computations (40% saved)

simplify70.0ms (0.9%)

Memory
-7.3MiB live, 68.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
✓cost-diff0
(*.f64 x x)
✓cost-diff1088
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #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 x x)
✓cost-diff640
(fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
✓cost-diff0
(*.f64 #s(literal -2 binary64) x)
✓cost-diff0
#s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) 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 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))
Rules
728×lower-fma.f32
724×lower-fma.f64
504×lower-*.f32
486×lower-*.f64
184×unsub-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
024133
038127
170124
2102122
3155122
4268122
5336122
6451122
7655122
8815122
9921122
101192122
111342122
121432122
131442122
141444122
151447122
161448122
01448122
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.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)
#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 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))
(*.f64 x x)
x
#s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
(fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
(*.f64 x x)
x
#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 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(*.f64 x x)
x
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
#s(literal 1 binary64)
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
#s(literal -2 binary64)
#s(literal 3 binary64)
Outputs
(*.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))))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
x
#s(literal -2 binary64)
#s(literal 3 binary64)
(*.f64 x x)
#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))
#s(literal 3 binary64)
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))))
(*.f64 x x)
x
#s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))
#s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) x)
(*.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
(fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(*.f64 x x)
x
#s(literal 3 binary64)
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 x #s(literal -2 binary64)))
(*.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (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 x)
x
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
#s(literal 1 binary64)
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
#s(literal -2 binary64)
#s(literal 3 binary64)

localize78.0ms (0.9%)

Memory
6.9MiB live, 146.1MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.8%
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(*.f64 x #s(literal -2 binary64))
✓accuracy99.9%
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
✓accuracy85.0%
(fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(*.f64 #s(literal -2 binary64) x)
✓accuracy99.8%
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))
✓accuracy54.4%
#s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))
✓accuracy100.0%
(*.f64 x #s(literal 3 binary64))
✓accuracy99.7%
(*.f64 x (*.f64 x #s(literal 3 binary64)))
✓accuracy59.5%
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x (*.f64 x #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))
Samples
38.0ms256×0valid
Compiler

Compiled 127 to 23 computations (81.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 17.0ms (69% of total)
ival-div: 3.0ms (12.2% of total)
ival-add: 2.0ms (8.1% of total)
ival-sub: 1.0ms (4.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
-24.0MiB live, 13.7MiB allocated
Counts
15 → 180
Calls
Call 1
Inputs
#<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 #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 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))>
#<alt #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))>
#<alt (*.f64 #s(literal -2 binary64) x)>
#<alt (fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))>
#<alt (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))>
#<alt (*.f64 x (*.f64 x #s(literal -2 binary64)))>
#<alt (/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))>
#<alt (*.f64 x #s(literal -2 binary64))>
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>
#<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 (* 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 (* -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 (* -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 1/3>
#<alt (+ 1/3 (* 2/9 x))>
#<alt (+ 1/3 (* x (+ 2/9 (* 4/27 x))))>
#<alt (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x))))))>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) x))>
#<alt (/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) x)>
#<alt (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) x)>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 1/2 (+ (* 3/4 (/ 1 x)) (/ 9/8 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) x)) 3/4) x))) 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)>
Calls

45 calls:

TimeVariablePointExpression
2.0ms
x
@0
(+ (* (* x x) 3) (* x (* x (* x -2))))
0.0ms
x
@inf
(* x (* x 3))
0.0ms
x
@inf
(+ (* (* x x) 3) (* x (* x (* x -2))))
0.0ms
x
@-inf
(* x 3)
0.0ms
x
@0
(* x (* x (* x -2)))

simplify479.0ms (5.8%)

Memory
40.6MiB live, 352.6MiB allocated
Algorithm
1×egg-herbie
Rules
7 794×lower-fma.f64
7 794×lower-fma.f32
2 232×lower-*.f64
2 232×lower-*.f32
1 522×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0761018
12031014
24761008
311041008
425891008
554331008
08315939
Stop Event
1×iter limit
1×node limit
Counts
180 → 180
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
(+ 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)))))
(* 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)))))
(* -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)))))
(* -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)))))
1/3
(+ 1/3 (* 2/9 x))
(+ 1/3 (* x (+ 2/9 (* 4/27 x))))
(+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x))))))
(/ -1/2 x)
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) x)
(/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) x)
(/ -1/2 x)
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) x))
(* -1 (/ (+ 1/2 (+ (* 3/4 (/ 1 x)) (/ 9/8 (pow x 2)))) x))
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) x)) 3/4) x))) 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)
Outputs
(* 3 (pow x 2))
(*.f64 x (*.f64 x #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))))
(* (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
#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))
(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 x (*.f64 x #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))))
(* (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 (pow x 2))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(* 3 (pow x 2))
(*.f64 x (*.f64 x #s(literal 3 binary64)))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 x #s(literal 3 binary64))
(* 3 x)
(*.f64 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 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
#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 x (*.f64 x #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))))
(* (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))
(* 3 (pow x 2))
(*.f64 x (*.f64 x #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))))
(* (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
#s(literal 1/3 binary64)
(+ 1/3 (* 2/9 x))
(fma.f64 x #s(literal 2/9 binary64) #s(literal 1/3 binary64))
(+ 1/3 (* x (+ 2/9 (* 4/27 x))))
(fma.f64 x (fma.f64 x #s(literal 4/27 binary64) #s(literal 2/9 binary64)) #s(literal 1/3 binary64))
(+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 8/81 binary64) #s(literal 4/27 binary64)) #s(literal 2/9 binary64)) #s(literal 1/3 binary64))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -3/4 binary64) x)) x)
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) x)
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -3/4 binary64) (/.f64 #s(literal -9/8 binary64) x)) x)) x)
(/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) x)
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal -3/4 binary64) (/.f64 (+.f64 #s(literal 9/8 binary64) (/.f64 #s(literal 27/16 binary64) x)) x)) x)) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -3/4 binary64) x)) x)
(* -1 (/ (+ 1/2 (+ (* 3/4 (/ 1 x)) (/ 9/8 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -3/4 binary64) (/.f64 #s(literal -9/8 binary64) x)) x)) x)
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) x)) 3/4) x))) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal -3/4 binary64) (/.f64 (+.f64 #s(literal 9/8 binary64) (/.f64 #s(literal 27/16 binary64) x)) x)) 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))

rewrite474.0ms (5.7%)

Memory
-10.9MiB live, 581.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
9 496×lower-fma.f32
9 492×lower-fma.f64
5 166×lower-*.f32
5 148×lower-*.f64
2 770×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
024106
038100
112297
272895
3786995
0870695
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
15 → 1 045
Calls
Call 1
Inputs
(*.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)
#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 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))
#s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
(fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(*.f64 x (*.f64 x #s(literal -2 binary64)))
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(*.f64 x #s(literal -2 binary64))
Outputs
(+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) (*.f64 x (*.f64 x #s(literal 3 binary64))))
(+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) (*.f64 (*.f64 x (neg.f64 x)) #s(literal -3 binary64)))
(+.f64 (*.f64 x (*.f64 x #s(literal 3 binary64))) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
(+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9 binary64))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))) (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 3 binary64)))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))))
(+.f64 (*.f64 (*.f64 x (neg.f64 x)) #s(literal -3 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
(+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x (neg.f64 x))) (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x (neg.f64 x))))
(+.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x (neg.f64 x))) (*.f64 #s(literal -3 binary64) (*.f64 x (neg.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (*.f64 #s(literal -1 binary64) (log.f64 (fma.f64 x #s(literal -2 binary64) #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 (*.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 #s(literal 4 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (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 (/.f64 (/.f64 (*.f64 (*.f64 x 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 (*.f64 x #s(literal 4 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.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 #s(literal 4 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9 binary64))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))))
(fma.f64 x (*.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
(fma.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 x (*.f64 x #s(literal 3 binary64))))
(fma.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 (*.f64 x (neg.f64 x)) #s(literal -3 binary64)))
(fma.f64 x (/.f64 (*.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)))) (neg.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #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 (*.f64 x (neg.f64 x)) #s(literal -3 binary64)))
(fma.f64 #s(literal 3 binary64) (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
(fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))))
(fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 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 (*.f64 x (neg.f64 x)) #s(literal -3 binary64)))
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2 binary64))) (*.f64 x (*.f64 x #s(literal 3 binary64))))
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2 binary64))) (*.f64 (*.f64 x (neg.f64 x)) #s(literal -3 binary64)))
(fma.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))))
(fma.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) (*.f64 x x)) (*.f64 (*.f64 x (neg.f64 x)) #s(literal -3 binary64)))
(fma.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x (neg.f64 x)) (*.f64 #s(literal -3 binary64) (*.f64 x (neg.f64 x))))
(fma.f64 (*.f64 x #s(literal 3 binary64)) x (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
(fma.f64 (*.f64 x #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))))
(fma.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x x) (*.f64 x (*.f64 x #s(literal 3 binary64))))
(fma.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x x) (*.f64 (*.f64 x (neg.f64 x)) #s(literal -3 binary64)))
(fma.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) x (*.f64 x (*.f64 x #s(literal 3 binary64))))
(fma.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) x (*.f64 (*.f64 x (neg.f64 x)) #s(literal -3 binary64)))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 3 binary64))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64) (*.f64 (*.f64 x (neg.f64 x)) #s(literal -3 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 3 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))))
(fma.f64 (*.f64 x (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
(fma.f64 (*.f64 x (*.f64 x #s(literal 3 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))))
(fma.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal 2 binary64)))) (*.f64 x (*.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal 2 binary64)))) (*.f64 (*.f64 x (neg.f64 x)) #s(literal -3 binary64)))
(fma.f64 (*.f64 x (neg.f64 x)) (*.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 x #s(literal 3 binary64))))
(fma.f64 (*.f64 x (neg.f64 x)) (*.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 x (neg.f64 x)) #s(literal -3 binary64)))
(fma.f64 (*.f64 x (neg.f64 x)) #s(literal -3 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))))
(fma.f64 #s(literal 9 binary64) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))))
(fma.f64 (neg.f64 x) (*.f64 x (*.f64 x #s(literal 2 binary64))) (*.f64 x (*.f64 x #s(literal 3 binary64))))
(fma.f64 (neg.f64 x) (*.f64 x (*.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 x (neg.f64 x)) #s(literal -3 binary64)))
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -2 binary64) (*.f64 x (*.f64 x #s(literal 3 binary64))))
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -2 binary64) (*.f64 (*.f64 x (neg.f64 x)) #s(literal -3 binary64)))
(fma.f64 #s(literal -3 binary64) (*.f64 x (neg.f64 x)) (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x (neg.f64 x))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (/.f64 (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))))
(fma.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (neg.f64 x) (*.f64 x (*.f64 x #s(literal 3 binary64))))
(fma.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (neg.f64 x) (*.f64 (*.f64 x (neg.f64 x)) #s(literal -3 binary64)))
(fma.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))))
(fma.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 3 binary64) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))))
(fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 9 binary64))) (/.f64 x (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))))
(fma.f64 (/.f64 x x) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 9 binary64))) (*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))))
(fma.f64 (/.f64 x (*.f64 x x)) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 9 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))))
(fma.f64 (/.f64 #s(literal 3 binary64) x) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))))
(fma.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))))
(fma.f64 (/.f64 (*.f64 x x) x) (/.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 x x)) (/.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))))
(fma.f64 (/.f64 (*.f64 x #s(literal 3 binary64)) x) (/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))))
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(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal -27 binary64)) (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (fma.f64 x #s(literal -6 binary64) #s(literal 9 binary64)))))
(/.f64 (neg.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal -27 binary64)))
(/.f64 (fma.f64 (fma.f64 x #s(literal 6 binary64) #s(literal 9 binary64)) (*.f64 (fma.f64 x #s(literal 6 binary64) #s(literal 9 binary64)) (fma.f64 x #s(literal 6 binary64) #s(literal 9 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 64 binary64))) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64)) (fma.f64 (fma.f64 x #s(literal 6 binary64) #s(literal 9 binary64)) (-.f64 (fma.f64 x #s(literal 6 binary64) #s(literal 9 binary64)) (*.f64 x (*.f64 x #s(literal 4 binary64)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 16 binary64)))))
(/.f64 (fma.f64 (*.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64))) (*.f64 (*.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64))) (*.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)))) #s(literal 729 binary64)) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64)) (fma.f64 (*.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64))) (-.f64 (*.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64))) #s(literal 9 binary64)) #s(literal 81 binary64))))
(/.f64 (*.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)) (+.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) (*.f64 x #s(literal -6 binary64)))) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64)) (+.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) (*.f64 x #s(literal -6 binary64)))))
(/.f64 (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64))) (*.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64))))) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64)) (-.f64 #s(literal 9 binary64) (*.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64))))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (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 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))) (*.f64 (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 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal -27 binary64))) (*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (fma.f64 x #s(literal -6 binary64) #s(literal 9 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 6 binary64) #s(literal 9 binary64)) (*.f64 (fma.f64 x #s(literal 6 binary64) #s(literal 9 binary64)) (fma.f64 x #s(literal 6 binary64) #s(literal 9 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 64 binary64)))) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64)) (fma.f64 (fma.f64 x #s(literal 6 binary64) #s(literal 9 binary64)) (-.f64 (fma.f64 x #s(literal 6 binary64) #s(literal 9 binary64)) (*.f64 x (*.f64 x #s(literal 4 binary64)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 16 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)) (+.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) (*.f64 x #s(literal -6 binary64))))) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64)) (+.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) (*.f64 x #s(literal -6 binary64)))))
(/.f64 (/.f64 #s(literal 1 binary64) (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 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64))) (fma.f64 (fma.f64 x #s(literal 6 binary64) #s(literal 9 binary64)) (*.f64 (fma.f64 x #s(literal 6 binary64) #s(literal 9 binary64)) (fma.f64 x #s(literal 6 binary64) #s(literal 9 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 64 binary64)))) (fma.f64 (fma.f64 x #s(literal 6 binary64) #s(literal 9 binary64)) (-.f64 (fma.f64 x #s(literal 6 binary64) #s(literal 9 binary64)) (*.f64 x (*.f64 x #s(literal 4 binary64)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 16 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64))) (*.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)) (+.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) (*.f64 x #s(literal -6 binary64))))) (+.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) (*.f64 x #s(literal -6 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 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 #s(literal 1 binary64) (fma.f64 x (*.f64 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 (*.f64 x #s(literal 4 binary64)) (fma.f64 x #s(literal -6 binary64) #s(literal 9 binary64))))
(pow.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64))))
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))))
(*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))))
(*.f64 (pow.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 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 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64))) (/.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 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 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 4 binary64)) #s(literal -9 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal -1/2 binary64))) (pow.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64))) (neg.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))))
(*.f64 (/.f64 #s(literal -1 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 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal -27 binary64))) (neg.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64))))
(*.f64 (/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 64 binary64) #s(literal -729 binary64))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 16 binary64) (fma.f64 (*.f64 x x) #s(literal 36 binary64) #s(literal 81 binary64))))
(*.f64 (/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 16 binary64) #s(literal -81 binary64))) (fma.f64 x (*.f64 x #s(literal 4 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)) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 64 binary64)) #s(literal 19683 binary64))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 64 binary64) (+.f64 #s(literal 729 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -216 binary64)))))
(*.f64 (/.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 64 binary64) #s(literal -729 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal -27 binary64)))
(*.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) (+.f64 #s(literal 729 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.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)))
(*.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 16 binary64)))) (fma.f64 x (*.f64 x #s(literal 4 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)) (-.f64 #s(literal 19683 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 64 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)))
(*.f64 (/.f64 (fma.f64 x (fma.f64 x #s(literal 4 binary64) #s(literal 6 binary64)) #s(literal 9 binary64)) (+.f64 #s(literal 729 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 64 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) #s(literal 27 binary64)))
(+.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 (*.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 x #s(literal 2 binary64)))
(*.f64 (neg.f64 x) #s(literal 2 binary64))

eval273.0ms (3.3%)

Memory
10.4MiB live, 353.9MiB allocated
Compiler

Compiled 36 189 to 1 837 computations (94.9% saved)

prune149.0ms (1.8%)

Memory
13.6MiB live, 254.7MiB allocated
Pruning

12 alts after pruning (8 fresh and 4 done)

PrunedKeptTotal
New1 47941 483
Fresh145
Picked145
Done000
Total1 481121 493
Accuracy
100.0%
Counts
1 493 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓85.0%
(fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
▶45.8%
(/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* x -2) 3)) (fma.f64 x #s(literal 2/9 binary64) #s(literal 1/3 binary64))))
74.9%
(/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* x -2) 3)) (/.f64 #s(literal -1/2 binary64) x)))
59.4%
(/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* x -2) 3)) #s(literal 1/3 binary64)))
▶74.9%
(/.f64 #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 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))
95.7%
(*.f64 (*.f64 (*.f64 x x) (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))))
▶99.8%
(*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)
▶71.3%
(*.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)))))))
✓74.9%
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))
▶59.4%
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
✓59.4%
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x (*.f64 x #s(literal 3 binary64))))
Compiler

Compiled 242 to 139 computations (42.6% saved)

simplify367.0ms (4.4%)

Memory
-49.1MiB live, 377.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff192
(-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) #s(literal 3 binary64)))
✓cost-diff704
(*.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)))
✓cost-diff2944
(/.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))))))
✓cost-diff5184
(pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) #s(literal 3 binary64))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓cost-diff0
(*.f64 x #s(literal -2 binary64))
✓cost-diff0
#s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64)))
✓cost-diff1088
(/.f64 #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
✓cost-diff0
(fma.f64 x #s(literal 2/9 binary64) #s(literal 1/3 binary64))
✓cost-diff0
#s(approx (/ 1 (+ (* x -2) 3)) (fma.f64 x #s(literal 2/9 binary64) #s(literal 1/3 binary64)))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* x -2) 3)) (fma.f64 x #s(literal 2/9 binary64) #s(literal 1/3 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
10 924×lower-fma.f32
10 916×lower-fma.f64
2 832×lower-*.f32
2 820×lower-*.f64
1 676×lower-+.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035238
055176
1122168
2290168
3861168
43644168
57590168
08127168
Stop Event
1×iter limit
1×node limit
1×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 x) #s(approx (/ 1 (+ (* x -2) 3)) (fma.f64 x #s(literal 2/9 binary64) #s(literal 1/3 binary64))))
(*.f64 x x)
x
#s(approx (/ 1 (+ (* x -2) 3)) (fma.f64 x #s(literal 2/9 binary64) #s(literal 1/3 binary64)))
(fma.f64 x #s(literal 2/9 binary64) #s(literal 1/3 binary64))
#s(literal 2/9 binary64)
#s(literal 1/3 binary64)
(/.f64 #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64)))
(*.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
(*.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)))))))
(*.f64 x 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))))))
(-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) #s(literal 3 binary64)))
#s(literal 0 binary64)
(pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) #s(literal 3 binary64))
(fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))
#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)))))
(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))))
(*.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -3 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 (*.f64 x #s(approx (- 3 (* x 2)) #s(literal 3 binary64))))
(*.f64 x x)
x
#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
#s(literal 3 binary64)
(/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* x -2) 3)) (fma.f64 x #s(literal 2/9 binary64) #s(literal 1/3 binary64))))
(*.f64 x x)
x
#s(approx (/ 1 (+ (* x -2) 3)) (fma.f64 x #s(literal 2/9 binary64) #s(literal 1/3 binary64)))
(fma.f64 x #s(literal 2/9 binary64) #s(literal 1/3 binary64))
#s(literal 2/9 binary64)
#s(literal 1/3 binary64)
(/.f64 #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))))
#s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64)))
(*.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
(*.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)))))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(*.f64 x 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))))))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) #s(literal 3 binary64)))
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (fma.f64 x (+.f64 (fma.f64 x #s(literal 4 binary64) #s(literal -6 binary64)) #s(literal -6 binary64)) #s(literal 9 binary64)))
#s(literal 0 binary64)
(pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) #s(literal 3 binary64))
(*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (fma.f64 x (+.f64 (fma.f64 x #s(literal 4 binary64) #s(literal -6 binary64)) #s(literal -6 binary64)) #s(literal 9 binary64)))
(fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))
#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)))))
(fma.f64 x (+.f64 (fma.f64 x #s(literal 4 binary64) #s(literal -6 binary64)) #s(literal -6 binary64)) #s(literal 9 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))))
(fma.f64 x (+.f64 (fma.f64 x #s(literal 4 binary64) #s(literal -6 binary64)) #s(literal -6 binary64)) #s(literal 9 binary64))
(*.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)))
#s(literal 0 binary64)

localize120.0ms (1.4%)

Memory
28.4MiB live, 262.9MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) #s(literal 3 binary64))
✓accuracy99.8%
(*.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)))))))
✓accuracy99.6%
(*.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)))
✓accuracy63.8%
(/.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))))))
✓accuracy100.0%
(*.f64 x #s(literal -2 binary64))
✓accuracy99.6%
(/.f64 #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
✓accuracy99.5%
(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓accuracy54.4%
#s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64)))
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.8%
(/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* x -2) 3)) (fma.f64 x #s(literal 2/9 binary64) #s(literal 1/3 binary64))))
✓accuracy99.7%
(fma.f64 x #s(literal 2/9 binary64) #s(literal 1/3 binary64))
✓accuracy46.6%
#s(approx (/ 1 (+ (* x -2) 3)) (fma.f64 x #s(literal 2/9 binary64) #s(literal 1/3 binary64)))
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.8%
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
✓accuracy46.5%
#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
66.0ms240×0valid
4.0ms10×1valid
3.0ms6×2valid
Compiler

Compiled 246 to 34 computations (86.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-mult: 16.0ms (29.1% of total)
const: 13.0ms (23.6% of total)
ival-div: 9.0ms (16.3% of total)
ival-add: 6.0ms (10.9% of total)
ival-pow: 5.0ms (9.1% of total)
ival-sub: 3.0ms (5.4% of total)
adjust: 1.0ms (1.8% of total)
exact: 1.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
-18.5MiB live, 18.5MiB allocated
Counts
18 → 216
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 x) #s(approx (/ 1 (+ (* x -2) 3)) (fma.f64 x #s(literal 2/9 binary64) #s(literal 1/3 binary64))))>
#<alt #s(approx (/ 1 (+ (* x -2) 3)) (fma.f64 x #s(literal 2/9 binary64) #s(literal 1/3 binary64)))>
#<alt (fma.f64 x #s(literal 2/9 binary64) #s(literal 1/3 binary64))>
#<alt (/.f64 #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))>
#<alt #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64)))>
#<alt (*.f64 x #s(literal -2 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x x))>
#<alt (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) #s(literal 3 binary64))>
#<alt (/.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))))))>
#<alt (*.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)))>
#<alt (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) #s(literal 3 binary64)))>
#<alt (*.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
#<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 1/3>
#<alt (+ 1/3 (* 2/9 x))>
#<alt (+ 1/3 (* x (+ 2/9 (* 4/27 x))))>
#<alt (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x))))))>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) x))>
#<alt (/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) x)>
#<alt (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) x)>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 1/2 (+ (* 3/4 (/ 1 x)) (/ 9/8 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) x)) 3/4) x))) x))>
#<alt 1/3>
#<alt (+ 1/3 (* 2/9 x))>
#<alt (+ 1/3 (* 2/9 x))>
#<alt (+ 1/3 (* 2/9 x))>
#<alt (* 2/9 x)>
#<alt (* x (+ 2/9 (* 1/3 (/ 1 x))))>
#<alt (* x (+ 2/9 (* 1/3 (/ 1 x))))>
#<alt (* x (+ 2/9 (* 1/3 (/ 1 x))))>
#<alt (* 2/9 x)>
#<alt (* x (+ 2/9 (* 1/3 (/ 1 x))))>
#<alt (* x (+ 2/9 (* 1/3 (/ 1 x))))>
#<alt (* x (+ 2/9 (* 1/3 (/ 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 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 (/ 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 -27>
#<alt (- (* 54 x) 27)>
#<alt (- (* x (+ 54 (* -36 x))) 27)>
#<alt (- (* x (+ 54 (* x (- (* 8 x) 36)))) 27)>
#<alt (* 8 (pow x 3))>
#<alt (* (pow x 3) (- 8 (* 36 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 8 (/ 54 (pow x 2))) (* 36 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 8 (/ 54 (pow x 2))) (+ (* 36 (/ 1 x)) (* 27 (/ 1 (pow x 3))))))>
#<alt (* 8 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 36 (/ 1 x)) 8)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* 54 (/ 1 x)) 36) x)) 8)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (* 27 (/ 1 x)) 54) x)) 36) x)) 8)))>
#<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 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 27>
#<alt (+ 27 (* -54 x))>
#<alt (+ 27 (* x (- (* 36 x) 54)))>
#<alt (+ 27 (* x (- (* x (+ 36 (* -8 x))) 54)))>
#<alt (* -8 (pow x 3))>
#<alt (* (pow x 3) (- (* 36 (/ 1 x)) 8))>
#<alt (* (pow x 3) (- (* 36 (/ 1 x)) (+ 8 (/ 54 (pow x 2)))))>
#<alt (* (pow x 3) (- (+ (* 36 (/ 1 x)) (* 27 (/ 1 (pow x 3)))) (+ 8 (/ 54 (pow x 2)))))>
#<alt (* -8 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 8 (* 36 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 8 (* -1 (/ (- 36 (* 54 (/ 1 x))) x)))))>
#<alt (* -1 (* (pow x 3) (+ 8 (* -1 (/ (+ 36 (* -1 (/ (- 54 (* 27 (/ 1 x))) x))) 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)))))>
Calls

54 calls:

TimeVariablePointExpression
3.0ms
x
@0
(* (* x x) (/ (- 0 (pow (+ (* x 2) -3) 3)) (+ 0 (+ (* (+ (* x 2) -3) (+ (* x 2) -3)) (* 0 (+ (* x 2) -3))))))
0.0ms
x
@-inf
(* x (+ (* x -2) 3))
0.0ms
x
@inf
(* (* x x) (/ (- 0 (pow (+ (* x 2) -3) 3)) (+ 0 (+ (* (+ (* x 2) -3) (+ (* x 2) -3)) (* 0 (+ (* x 2) -3))))))
0.0ms
x
@inf
(pow (+ (* x 2) -3) 3)
0.0ms
x
@inf
(- 0 (pow (+ (* x 2) -3) 3))

simplify332.0ms (4%)

Memory
30.8MiB live, 572.7MiB allocated
Algorithm
1×egg-herbie
Rules
12 324×lower-fma.f64
12 324×lower-fma.f32
3 520×lower-*.f64
3 520×lower-*.f32
2 452×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01691328
14831308
213411294
337541294
082791169
Stop Event
1×iter limit
1×node limit
Counts
216 → 216
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)))))
1/3
(+ 1/3 (* 2/9 x))
(+ 1/3 (* x (+ 2/9 (* 4/27 x))))
(+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x))))))
(/ -1/2 x)
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) x)
(/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) x)
(/ -1/2 x)
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) x))
(* -1 (/ (+ 1/2 (+ (* 3/4 (/ 1 x)) (/ 9/8 (pow x 2)))) x))
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) x)) 3/4) x))) x))
1/3
(+ 1/3 (* 2/9 x))
(+ 1/3 (* 2/9 x))
(+ 1/3 (* 2/9 x))
(* 2/9 x)
(* x (+ 2/9 (* 1/3 (/ 1 x))))
(* x (+ 2/9 (* 1/3 (/ 1 x))))
(* x (+ 2/9 (* 1/3 (/ 1 x))))
(* 2/9 x)
(* x (+ 2/9 (* 1/3 (/ 1 x))))
(* x (+ 2/9 (* 1/3 (/ 1 x))))
(* x (+ 2/9 (* 1/3 (/ 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)))))
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)
(/ 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))
-27
(- (* 54 x) 27)
(- (* x (+ 54 (* -36 x))) 27)
(- (* x (+ 54 (* x (- (* 8 x) 36)))) 27)
(* 8 (pow x 3))
(* (pow x 3) (- 8 (* 36 (/ 1 x))))
(* (pow x 3) (- (+ 8 (/ 54 (pow x 2))) (* 36 (/ 1 x))))
(* (pow x 3) (- (+ 8 (/ 54 (pow x 2))) (+ (* 36 (/ 1 x)) (* 27 (/ 1 (pow x 3))))))
(* 8 (pow x 3))
(* -1 (* (pow x 3) (- (* 36 (/ 1 x)) 8)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 54 (/ 1 x)) 36) x)) 8)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (* 27 (/ 1 x)) 54) x)) 36) x)) 8)))
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)))))
0
0
0
0
0
0
0
0
0
0
0
0
27
(+ 27 (* -54 x))
(+ 27 (* x (- (* 36 x) 54)))
(+ 27 (* x (- (* x (+ 36 (* -8 x))) 54)))
(* -8 (pow x 3))
(* (pow x 3) (- (* 36 (/ 1 x)) 8))
(* (pow x 3) (- (* 36 (/ 1 x)) (+ 8 (/ 54 (pow x 2)))))
(* (pow x 3) (- (+ (* 36 (/ 1 x)) (* 27 (/ 1 (pow x 3)))) (+ 8 (/ 54 (pow x 2)))))
(* -8 (pow x 3))
(* -1 (* (pow x 3) (- 8 (* 36 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 8 (* -1 (/ (- 36 (* 54 (/ 1 x))) x)))))
(* -1 (* (pow x 3) (+ 8 (* -1 (/ (+ 36 (* -1 (/ (- 54 (* 27 (/ 1 x))) x))) 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)))))
Outputs
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 x 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 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 x 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 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 x 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 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 x 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 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 x 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 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 x 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 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 x 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 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 x 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 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 2/9 x))
(fma.f64 x #s(literal 2/9 binary64) #s(literal 1/3 binary64))
(+ 1/3 (* x (+ 2/9 (* 4/27 x))))
(fma.f64 x (fma.f64 x #s(literal 4/27 binary64) #s(literal 2/9 binary64)) #s(literal 1/3 binary64))
(+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x))))))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 8/81 binary64) #s(literal 4/27 binary64)) #s(literal 2/9 binary64)) #s(literal 1/3 binary64))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -3/4 binary64) x)) x)
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) x)
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -3/4 binary64) (/.f64 #s(literal -9/8 binary64) x)) x)) x)
(/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) x)
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 (+.f64 #s(literal 9/8 binary64) (/.f64 #s(literal 27/16 binary64) x)) x)) x)) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -3/4 binary64) x)) x)
(* -1 (/ (+ 1/2 (+ (* 3/4 (/ 1 x)) (/ 9/8 (pow x 2)))) x))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 9/8 binary64) x)) #s(literal 1/2 binary64)) (neg.f64 x))
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) x)) 3/4) x))) x))
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 (+.f64 #s(literal 9/8 binary64) (/.f64 #s(literal 27/16 binary64) x)) x)) x)) x)
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 2/9 x))
(fma.f64 x #s(literal 2/9 binary64) #s(literal 1/3 binary64))
(+ 1/3 (* 2/9 x))
(fma.f64 x #s(literal 2/9 binary64) #s(literal 1/3 binary64))
(+ 1/3 (* 2/9 x))
(fma.f64 x #s(literal 2/9 binary64) #s(literal 1/3 binary64))
(* 2/9 x)
(*.f64 x #s(literal 2/9 binary64))
(* x (+ 2/9 (* 1/3 (/ 1 x))))
(fma.f64 x #s(literal 2/9 binary64) #s(literal 1/3 binary64))
(* x (+ 2/9 (* 1/3 (/ 1 x))))
(fma.f64 x #s(literal 2/9 binary64) #s(literal 1/3 binary64))
(* x (+ 2/9 (* 1/3 (/ 1 x))))
(fma.f64 x #s(literal 2/9 binary64) #s(literal 1/3 binary64))
(* 2/9 x)
(*.f64 x #s(literal 2/9 binary64))
(* x (+ 2/9 (* 1/3 (/ 1 x))))
(fma.f64 x #s(literal 2/9 binary64) #s(literal 1/3 binary64))
(* x (+ 2/9 (* 1/3 (/ 1 x))))
(fma.f64 x #s(literal 2/9 binary64) #s(literal 1/3 binary64))
(* x (+ 2/9 (* 1/3 (/ 1 x))))
(fma.f64 x #s(literal 2/9 binary64) #s(literal 1/3 binary64))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 x 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 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 x 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 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 x 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))
(/ 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))
-27
#s(literal -27 binary64)
(- (* 54 x) 27)
(fma.f64 x #s(literal 54 binary64) #s(literal -27 binary64))
(- (* x (+ 54 (* -36 x))) 27)
(fma.f64 x (fma.f64 x #s(literal -36 binary64) #s(literal 54 binary64)) #s(literal -27 binary64))
(- (* x (+ 54 (* x (- (* 8 x) 36)))) 27)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 8 binary64) #s(literal -36 binary64)) #s(literal 54 binary64)) #s(literal -27 binary64))
(* 8 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 8 binary64))))
(* (pow x 3) (- 8 (* 36 (/ 1 x))))
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -36 binary64) x))))
(* (pow x 3) (- (+ 8 (/ 54 (pow x 2))) (* 36 (/ 1 x))))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal 8 binary64) (+.f64 #s(literal -36 binary64) (/.f64 #s(literal 54 binary64) x))))
(* (pow x 3) (- (+ 8 (/ 54 (pow x 2))) (+ (* 36 (/ 1 x)) (* 27 (/ 1 (pow x 3))))))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal 8 binary64) (+.f64 #s(literal -36 binary64) (/.f64 (+.f64 #s(literal 54 binary64) (/.f64 #s(literal -27 binary64) x)) x))))
(* 8 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal 8 binary64))))
(* -1 (* (pow x 3) (- (* 36 (/ 1 x)) 8)))
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -36 binary64) x))))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 54 (/ 1 x)) 36) x)) 8)))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal 8 binary64) (+.f64 #s(literal -36 binary64) (/.f64 #s(literal 54 binary64) x))))
(* -1 (* (pow x 3) (- (* -1 (/ (- (* -1 (/ (- (* 27 (/ 1 x)) 54) x)) 36) x)) 8)))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal 8 binary64) (+.f64 #s(literal -36 binary64) (/.f64 (+.f64 #s(literal 54 binary64) (/.f64 #s(literal -27 binary64) 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))
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
27
#s(literal 27 binary64)
(+ 27 (* -54 x))
(fma.f64 x #s(literal -54 binary64) #s(literal 27 binary64))
(+ 27 (* x (- (* 36 x) 54)))
(fma.f64 x (fma.f64 x #s(literal 36 binary64) #s(literal -54 binary64)) #s(literal 27 binary64))
(+ 27 (* x (- (* x (+ 36 (* -8 x))) 54)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -8 binary64) #s(literal 36 binary64)) #s(literal -54 binary64)) #s(literal 27 binary64))
(* -8 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)))
(* (pow x 3) (- (* 36 (/ 1 x)) 8))
(*.f64 (*.f64 x x) (*.f64 x (+.f64 (/.f64 #s(literal 36 binary64) x) #s(literal -8 binary64))))
(* (pow x 3) (- (* 36 (/ 1 x)) (+ 8 (/ 54 (pow x 2)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -8 binary64) (+.f64 #s(literal 36 binary64) (/.f64 #s(literal -54 binary64) x)))))
(* (pow x 3) (- (+ (* 36 (/ 1 x)) (* 27 (/ 1 (pow x 3)))) (+ 8 (/ 54 (pow x 2)))))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -8 binary64) (+.f64 #s(literal 36 binary64) (/.f64 (-.f64 #s(literal -54 binary64) (/.f64 #s(literal -27 binary64) x)) x))))
(* -8 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)))
(* -1 (* (pow x 3) (- 8 (* 36 (/ 1 x)))))
(*.f64 (*.f64 x x) (*.f64 x (+.f64 (/.f64 #s(literal 36 binary64) x) #s(literal -8 binary64))))
(* -1 (* (pow x 3) (+ 8 (* -1 (/ (- 36 (* 54 (/ 1 x))) x)))))
(*.f64 x (*.f64 x (fma.f64 x #s(literal -8 binary64) (+.f64 #s(literal 36 binary64) (/.f64 #s(literal -54 binary64) x)))))
(* -1 (* (pow x 3) (+ 8 (* -1 (/ (+ 36 (* -1 (/ (- 54 (* 27 (/ 1 x))) x))) x)))))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -8 binary64) (+.f64 #s(literal 36 binary64) (/.f64 (-.f64 #s(literal -54 binary64) (/.f64 #s(literal -27 binary64) x)) x))))
(* 3 (pow x 2))
(*.f64 #s(literal 3 binary64) (*.f64 x x))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 2) (+ 3 (* -2 x)))
(*.f64 (*.f64 x 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 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (*.f64 x 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 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))

rewrite95.0ms (1.2%)

Memory
23.5MiB live, 176.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
762×lower-*.f32
750×lower-*.f64
698×lower-/.f32
690×lower-/.f64
518×lower-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035177
055151
1255121
01989121
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
18 → 272
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 x) #s(approx (/ 1 (+ (* x -2) 3)) (fma.f64 x #s(literal 2/9 binary64) #s(literal 1/3 binary64))))
#s(approx (/ 1 (+ (* x -2) 3)) (fma.f64 x #s(literal 2/9 binary64) #s(literal 1/3 binary64)))
(fma.f64 x #s(literal 2/9 binary64) #s(literal 1/3 binary64))
(/.f64 #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64)))
(*.f64 x #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) #s(literal 3 binary64))
(/.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))))))
(*.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)))
(-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) #s(literal 3 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
(+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) (*.f64 x (*.f64 x #s(literal 3 binary64))))
(+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) x) (*.f64 (*.f64 x #s(literal 3 binary64)) x))
(fma.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 x (*.f64 x #s(literal 3 binary64))))
(fma.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) x (*.f64 (*.f64 x #s(literal 3 binary64)) 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))
(*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(+.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal -2 binary64))))
(+.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 x #s(literal 3 binary64)))
(fma.f64 x #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64))))
(fma.f64 x (*.f64 x #s(literal -2 binary64)) (*.f64 x #s(literal 3 binary64)))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) (*.f64 x #s(literal 3 binary64)))
(fma.f64 #s(literal 3 binary64) x (*.f64 x (*.f64 x #s(literal -2 binary64))))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 x #s(literal 3 binary64)))
(fma.f64 (*.f64 x #s(literal -2 binary64)) x (*.f64 x #s(literal 3 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 x (*.f64 x #s(literal -2 binary64))) (-.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 x #s(literal 3 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 x (*.f64 x #s(literal -2 binary64)))) (*.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 3 binary64)))) (-.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 x #s(literal 3 binary64))))
(/.f64 (*.f64 x (fma.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 27 binary64))) (-.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) (*.f64 x #s(literal -6 binary64))))
(/.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64))) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 27 binary64)) x) (-.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) (*.f64 x #s(literal -6 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal -9 binary64)) 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 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x)
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))
(+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64))
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))
(-.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 (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 x x) #s(literal 4 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 (/.f64 (*.f64 (*.f64 x 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))))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(fma.f64 #s(literal 2 binary64) (neg.f64 x) #s(literal 3 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))
(fma.f64 (neg.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (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 27 binary64) (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (*.f64 x x) #s(literal 4 binary64))))))
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(*.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 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 (fma.f64 x #s(literal 2 binary64) #s(literal -3 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 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 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 (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) #s(literal 3/2 binary64)) (neg.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) #s(literal 3/2 binary64))))
(*.f64 (neg.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) #s(literal 3/2 binary64))) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) #s(literal 3/2 binary64)))
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.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 x x) (neg.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 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 x x) (neg.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 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 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (neg.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 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 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (neg.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)))))
(/.f64 (*.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 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 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (neg.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)))))
(/.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 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 x x)) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (neg.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)))))
(/.f64 (/.f64 (*.f64 (*.f64 x x) (neg.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)))))) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)))
(*.f64 x (*.f64 x (neg.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)))))
(*.f64 (*.f64 x x) (neg.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))))
(*.f64 (neg.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 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 #s(literal 1 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 x x)))
(*.f64 (neg.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))) (*.f64 x x))
(*.f64 (*.f64 x (neg.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)))) x)
(*.f64 (*.f64 (*.f64 x x) (neg.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 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 #s(literal 1 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 x x) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))) (/.f64 (neg.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (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) (neg.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 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 (fma.f64 x #s(literal 2 binary64) #s(literal -3 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 (fma.f64 x #s(literal 2 binary64) #s(literal -3 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 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -3 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) (neg.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)))))) (neg.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -3 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 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (neg.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)))))
(*.f64 (/.f64 (*.f64 (*.f64 x x) (neg.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 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 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -3 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 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))))

eval96.0ms (1.2%)

Memory
-20.7MiB live, 230.4MiB allocated
Compiler

Compiled 11 782 to 1 047 computations (91.1% saved)

prune285.0ms (3.4%)

Memory
-4.6MiB live, 154.8MiB allocated
Pruning

12 alts after pruning (5 fresh and 7 done)

PrunedKeptTotal
New5693572
Fresh123
Picked235
Done044
Total57212584
Accuracy
100.0%
Counts
584 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓85.0%
(fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
▶74.9%
(/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* x -2) 3)) (/.f64 #s(literal -1/2 binary64) x)))
▶59.4%
(/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* x -2) 3)) #s(approx (+ (* x 2/9) 1/3) #s(literal 1/3 binary64))))
▶74.9%
(/.f64 #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
✓74.9%
(/.f64 #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
▶99.4%
(*.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 -2 binary64) #s(literal 3 binary64)) (*.f64 x x))
▶95.7%
(*.f64 (*.f64 (*.f64 x x) (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))))
✓99.8%
(*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)
✓74.9%
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))
✓59.4%
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
✓59.4%
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x (*.f64 x #s(literal 3 binary64))))
Compiler

Compiled 179 to 110 computations (38.5% saved)

simplify272.0ms (3.3%)

Memory
-14.5MiB live, 265.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))
✓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-diff320
(*.f64 (*.f64 (*.f64 x x) (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))))
✓cost-diff0
(*.f64 x #s(literal -2 binary64))
✓cost-diff0
#s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64)))
✓cost-diff384
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
✓cost-diff1088
(/.f64 #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
✓cost-diff0
(/.f64 #s(literal -1/2 binary64) x)
✓cost-diff0
#s(approx (/ 1 (+ (* x -2) 3)) (/.f64 #s(literal -1/2 binary64) x))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* x -2) 3)) (/.f64 #s(literal -1/2 binary64) x)))
✓cost-diff0
#s(approx (+ (* x 2/9) 1/3) #s(literal 1/3 binary64))
✓cost-diff0
#s(approx (/ 1 (+ (* x -2) 3)) #s(approx (+ (* x 2/9) 1/3) #s(literal 1/3 binary64)))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* x -2) 3)) #s(approx (+ (* x 2/9) 1/3) #s(literal 1/3 binary64))))
✓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
3 306×lower-fma.f32
3 300×lower-fma.f64
2 586×lower-*.f32
2 574×lower-*.f64
1 640×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037197
055197
198193
2190191
3390191
4721191
5971191
61181191
71805191
82362191
92781190
103641190
116085190
08224179
Stop Event
1×iter limit
1×node limit
1×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 x) #s(approx (/ 1 (+ (* x -2) 3)) #s(approx (+ (* x 2/9) 1/3) #s(literal 1/3 binary64))))
(*.f64 x x)
x
#s(approx (/ 1 (+ (* x -2) 3)) #s(approx (+ (* x 2/9) 1/3) #s(literal 1/3 binary64)))
#s(approx (+ (* x 2/9) 1/3) #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* x -2) 3)) (/.f64 #s(literal -1/2 binary64) x)))
(*.f64 x x)
x
#s(approx (/ 1 (+ (* x -2) 3)) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
(/.f64 #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
#s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64)))
(*.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 x x) (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 (*.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)
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))
#s(literal 1 binary64)
(fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))
#s(literal 2 binary64)
#s(literal 3 binary64)
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 x) #s(approx (/ 1 (+ (* x -2) 3)) #s(approx (+ (* x 2/9) 1/3) #s(literal 1/3 binary64))))
(*.f64 x x)
x
#s(approx (/ 1 (+ (* x -2) 3)) #s(approx (+ (* x 2/9) 1/3) #s(literal 1/3 binary64)))
#s(approx (+ (* x 2/9) 1/3) #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
(/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* x -2) 3)) (/.f64 #s(literal -1/2 binary64) x)))
(*.f64 x x)
x
#s(approx (/ 1 (+ (* x -2) 3)) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
(/.f64 #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))))
#s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64)))
(*.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 x x) (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 (*.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 x x) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)))
(*.f64 x (*.f64 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)
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))
#s(literal 1 binary64)
(fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))
#s(literal 2 binary64)
#s(literal 3 binary64)

localize110.0ms (1.3%)

Memory
20.5MiB live, 231.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))
✓accuracy99.8%
(*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)))
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))
✓accuracy96.2%
(*.f64 (*.f64 (*.f64 x x) (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))))
✓accuracy100.0%
(*.f64 x #s(literal -2 binary64))
✓accuracy99.8%
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
✓accuracy99.6%
(/.f64 #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
✓accuracy54.4%
#s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64)))
✓accuracy100.0%
(/.f64 #s(literal -1/2 binary64) x)
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.8%
(/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* x -2) 3)) (/.f64 #s(literal -1/2 binary64) x)))
✓accuracy54.2%
#s(approx (/ 1 (+ (* x -2) 3)) (/.f64 #s(literal -1/2 binary64) x))
✓accuracy100.0%
(*.f64 x x)
✓accuracy99.8%
(/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* x -2) 3)) #s(approx (+ (* x 2/9) 1/3) #s(literal 1/3 binary64))))
✓accuracy46.6%
#s(approx (/ 1 (+ (* x -2) 3)) #s(approx (+ (* x 2/9) 1/3) #s(literal 1/3 binary64)))
✓accuracy46.5%
#s(approx (+ (* x 2/9) 1/3) #s(literal 1/3 binary64))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(*.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)
✓accuracy99.5%
(fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 x #s(literal 3 binary64)))
Samples
61.0ms240×0valid
4.0ms10×1valid
3.0ms6×2valid
Compiler

Compiled 173 to 35 computations (79.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-mult: 15.0ms (35% of total)
ival-div: 12.0ms (28% of total)
ival-add: 6.0ms (14% of total)
const: 6.0ms (14% of total)
adjust: 1.0ms (2.3% of total)
ival-sub: 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)

series136.0ms (1.6%)

Memory
-29.0MiB live, 9.4MiB allocated
Counts
18 → 216
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 x) #s(approx (/ 1 (+ (* x -2) 3)) #s(approx (+ (* x 2/9) 1/3) #s(literal 1/3 binary64))))>
#<alt #s(approx (/ 1 (+ (* x -2) 3)) #s(approx (+ (* x 2/9) 1/3) #s(literal 1/3 binary64)))>
#<alt #s(approx (+ (* x 2/9) 1/3) #s(literal 1/3 binary64))>
#<alt (/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* x -2) 3)) (/.f64 #s(literal -1/2 binary64) x)))>
#<alt #s(approx (/ 1 (+ (* x -2) 3)) (/.f64 #s(literal -1/2 binary64) x))>
#<alt (/.f64 #s(literal -1/2 binary64) x)>
#<alt (/.f64 #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) x) x)>
#<alt #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64)))>
#<alt (*.f64 x #s(literal -2 binary64))>
#<alt (*.f64 (*.f64 (*.f64 x x) (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))))>
#<alt (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)))>
#<alt (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))>
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 1/3>
#<alt (+ 1/3 (* 2/9 x))>
#<alt (+ 1/3 (* x (+ 2/9 (* 4/27 x))))>
#<alt (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x))))))>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) x))>
#<alt (/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) x)>
#<alt (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) x)>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 1/2 (+ (* 3/4 (/ 1 x)) (/ 9/8 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) x)) 3/4) x))) x))>
#<alt 1/3>
#<alt (+ 1/3 (* 2/9 x))>
#<alt (+ 1/3 (* 2/9 x))>
#<alt (+ 1/3 (* 2/9 x))>
#<alt (* 2/9 x)>
#<alt (* x (+ 2/9 (* 1/3 (/ 1 x))))>
#<alt (* x (+ 2/9 (* 1/3 (/ 1 x))))>
#<alt (* x (+ 2/9 (* 1/3 (/ 1 x))))>
#<alt (* 2/9 x)>
#<alt (* x (+ 2/9 (* 1/3 (/ 1 x))))>
#<alt (* x (+ 2/9 (* 1/3 (/ 1 x))))>
#<alt (* x (+ 2/9 (* 1/3 (/ 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 1/3>
#<alt (+ 1/3 (* 2/9 x))>
#<alt (+ 1/3 (* x (+ 2/9 (* 4/27 x))))>
#<alt (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x))))))>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) x))>
#<alt (/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) x)>
#<alt (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) x)>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 1/2 (+ (* 3/4 (/ 1 x)) (/ 9/8 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) x)) 3/4) x))) x))>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 x)>
#<alt (/ -1/2 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 (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>
#<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 (* 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 9>
#<alt (+ 9 (* -4 (pow x 2)))>
#<alt (+ 9 (* -4 (pow x 2)))>
#<alt (+ 9 (* -4 (pow x 2)))>
#<alt (* -4 (pow x 2))>
#<alt (* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))>
#<alt (* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))>
#<alt (* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))>
#<alt (* -4 (pow x 2))>
#<alt (* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))>
#<alt (* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))>
#<alt (* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))>
#<alt 1/3>
#<alt (+ 1/3 (* -2/9 x))>
#<alt (+ 1/3 (* x (- (* 4/27 x) 2/9)))>
#<alt (+ 1/3 (* x (- (* x (+ 4/27 (* -8/81 x))) 2/9)))>
#<alt (/ 1/2 x)>
#<alt (/ (- 1/2 (* 3/4 (/ 1 x))) x)>
#<alt (/ (- (+ 1/2 (/ 9/8 (pow x 2))) (* 3/4 (/ 1 x))) x)>
#<alt (/ (- (+ 1/2 (/ 9/8 (pow x 2))) (+ (* 3/4 (/ 1 x)) (* 27/16 (/ 1 (pow x 3))))) x)>
#<alt (/ 1/2 x)>
#<alt (* -1 (/ (- (* 3/4 (/ 1 x)) 1/2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 9/8 (/ 1 x)) 3/4) x)) 1/2) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 27/16 (/ 1 x)) 9/8) x)) 3/4) x)) 1/2) x))>
Calls

54 calls:

TimeVariablePointExpression
129.0ms
x
@0
(- 3 (* x 2))
1.0ms
x
@0
(* (* (* x x) (+ (* (* x x) -4) 9)) (/ 1 (+ (* x 2) 3)))
0.0ms
x
@inf
(* (* (* x x) (+ (* (* x x) -4) 9)) (/ 1 (+ (* x 2) 3)))
0.0ms
x
@-inf
(* (* (* x x) (+ (* (* x x) -4) 9)) (/ 1 (+ (* x 2) 3)))
0.0ms
x
@0
(/ -1/2 x)

simplify368.0ms (4.4%)

Memory
11.6MiB live, 478.3MiB allocated
Algorithm
1×egg-herbie
Rules
9 338×lower-fma.f64
9 338×lower-fma.f32
3 142×lower-*.f64
3 142×lower-*.f32
2 414×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01371384
13831364
28721356
319961352
445801352
082081244
Stop Event
1×iter limit
1×node limit
Counts
216 → 216
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)))))
1/3
(+ 1/3 (* 2/9 x))
(+ 1/3 (* x (+ 2/9 (* 4/27 x))))
(+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x))))))
(/ -1/2 x)
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) x)
(/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) x)
(/ -1/2 x)
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) x))
(* -1 (/ (+ 1/2 (+ (* 3/4 (/ 1 x)) (/ 9/8 (pow x 2)))) x))
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) x)) 3/4) x))) x))
1/3
(+ 1/3 (* 2/9 x))
(+ 1/3 (* 2/9 x))
(+ 1/3 (* 2/9 x))
(* 2/9 x)
(* x (+ 2/9 (* 1/3 (/ 1 x))))
(* x (+ 2/9 (* 1/3 (/ 1 x))))
(* x (+ 2/9 (* 1/3 (/ 1 x))))
(* 2/9 x)
(* x (+ 2/9 (* 1/3 (/ 1 x))))
(* x (+ 2/9 (* 1/3 (/ 1 x))))
(* x (+ 2/9 (* 1/3 (/ 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)))))
1/3
(+ 1/3 (* 2/9 x))
(+ 1/3 (* x (+ 2/9 (* 4/27 x))))
(+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x))))))
(/ -1/2 x)
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) x)
(/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) x)
(/ -1/2 x)
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) x))
(* -1 (/ (+ 1/2 (+ (* 3/4 (/ 1 x)) (/ 9/8 (pow x 2)))) x))
(* -1 (/ (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) x)) 3/4) x))) x))
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 x)
(/ -1/2 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 (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
(+ 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)))))
(* 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))
9
(+ 9 (* -4 (pow x 2)))
(+ 9 (* -4 (pow x 2)))
(+ 9 (* -4 (pow x 2)))
(* -4 (pow x 2))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(* -4 (pow x 2))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
1/3
(+ 1/3 (* -2/9 x))
(+ 1/3 (* x (- (* 4/27 x) 2/9)))
(+ 1/3 (* x (- (* x (+ 4/27 (* -8/81 x))) 2/9)))
(/ 1/2 x)
(/ (- 1/2 (* 3/4 (/ 1 x))) x)
(/ (- (+ 1/2 (/ 9/8 (pow x 2))) (* 3/4 (/ 1 x))) x)
(/ (- (+ 1/2 (/ 9/8 (pow x 2))) (+ (* 3/4 (/ 1 x)) (* 27/16 (/ 1 (pow x 3))))) x)
(/ 1/2 x)
(* -1 (/ (- (* 3/4 (/ 1 x)) 1/2) x))
(* -1 (/ (- (* -1 (/ (- (* 9/8 (/ 1 x)) 3/4) x)) 1/2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 27/16 (/ 1 x)) 9/8) x)) 3/4) x)) 1/2) 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 x (*.f64 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 x (*.f64 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))
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(+ 1/3 (* -2/9 x))
(fma.f64 x #s(literal -2/9 binary64) #s(literal 1/3 binary64))
(+ 1/3 (* x (- (* 4/27 x) 2/9)))
(fma.f64 x (fma.f64 x #s(literal 4/27 binary64) #s(literal -2/9 binary64)) #s(literal 1/3 binary64))
(+ 1/3 (* x (- (* x (+ 4/27 (* -8/81 x))) 2/9)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -8/81 binary64) #s(literal 4/27 binary64)) #s(literal -2/9 binary64)) #s(literal 1/3 binary64))
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (- 1/2 (* 3/4 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -3/4 binary64) x)) x)
(/ (- (+ 1/2 (/ 9/8 (pow x 2))) (* 3/4 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 9/8 binary64) x) #s(literal -3/4 binary64)) x)) x)
(/ (- (+ 1/2 (/ 9/8 (pow x 2))) (+ (* 3/4 (/ 1 x)) (* 27/16 (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 9/8 binary64) (/.f64 #s(literal -27/16 binary64) x)) x) #s(literal -3/4 binary64)) x)) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(* -1 (/ (- (* 3/4 (/ 1 x)) 1/2) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -3/4 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 9/8 (/ 1 x)) 3/4) x)) 1/2) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 9/8 binary64) x) #s(literal -3/4 binary64)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 27/16 (/ 1 x)) 9/8) x)) 3/4) x)) 1/2) x))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 9/8 binary64) (/.f64 #s(literal -27/16 binary64) x)) x) #s(literal -3/4 binary64)) x)) x)

rewrite501.0ms (6%)

Memory
9.5MiB live, 704.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
10 224×lower-fma.f32
10 218×lower-fma.f64
5 128×lower-*.f32
5 116×lower-*.f64
3 312×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037165
055158
1221151
21454151
09336139
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
18 → 916
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 x) #s(approx (/ 1 (+ (* x -2) 3)) #s(approx (+ (* x 2/9) 1/3) #s(literal 1/3 binary64))))
#s(approx (/ 1 (+ (* x -2) 3)) #s(approx (+ (* x 2/9) 1/3) #s(literal 1/3 binary64)))
#s(approx (+ (* x 2/9) 1/3) #s(literal 1/3 binary64))
(/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* x -2) 3)) (/.f64 #s(literal -1/2 binary64) x)))
#s(approx (/ 1 (+ (* x -2) 3)) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
(/.f64 #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
#s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64)))
(*.f64 x #s(literal -2 binary64))
(*.f64 (*.f64 (*.f64 x x) (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 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64)))
(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)))
Outputs
(+.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(+.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) (*.f64 x #s(literal 3 binary64)))
(+.f64 (/.f64 (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) x)) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))))
(-.f64 (/.f64 (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) x)) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) (/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))))
(-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))) (/.f64 (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) x)) (*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))))
(fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(fma.f64 x (*.f64 x #s(literal -2 binary64)) (*.f64 x #s(literal 3 binary64)))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 x #s(literal 3 binary64)))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) (*.f64 x #s(literal 3 binary64)))
(fma.f64 #s(literal 3 binary64) x (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(fma.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(fma.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 x) (*.f64 x #s(literal 3 binary64)))
(fma.f64 (*.f64 x #s(literal -2 binary64)) x (*.f64 x #s(literal 3 binary64)))
(fma.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))
(fma.f64 (*.f64 x (neg.f64 x)) #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
(fma.f64 (neg.f64 x) (*.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 3 binary64)))
(fma.f64 (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) x)) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))))
(fma.f64 (/.f64 x x) (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) x) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (neg.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))))
(fma.f64 (/.f64 (*.f64 x x) x) (/.f64 (*.f64 x (*.f64 x #s(literal -4 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) (neg.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))))
(fma.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -2 binary64))) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (neg.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))))
(fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) x) (/.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (neg.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))))
(fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) x) (/.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (neg.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))))
(fma.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) x) (/.f64 #s(literal 4 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (neg.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))))
(fma.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (neg.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))))
(fma.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64))) x) (/.f64 (*.f64 x #s(literal -2 binary64)) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (neg.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))))
(fma.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -2 binary64))) x) (/.f64 #s(literal -2 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) (neg.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))))
(neg.f64 (*.f64 (*.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)))))
(neg.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64))) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 #s(literal 4 binary64) x) #s(literal 9 binary64)) (*.f64 (*.f64 x x) (*.f64 x #s(literal 6 binary64)))))))
(neg.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 #s(literal 4 binary64) x) #s(literal -9 binary64))) (*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))))
(neg.f64 (/.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 #s(literal 4 binary64) x) #s(literal 9 binary64)) (*.f64 (*.f64 x x) (*.f64 x #s(literal 6 binary64))))))
(neg.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -4 binary64)) #s(literal 9 binary64))) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.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 (fma.f64 x (*.f64 x #s(literal -4 binary64)) #s(literal 9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal 9 binary64)) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) (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))) (*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))))
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64))) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 #s(literal 4 binary64) x) #s(literal 9 binary64)) (*.f64 (*.f64 x x) (*.f64 x #s(literal 6 binary64)))))
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64))) (fma.f64 x (*.f64 x #s(literal 9 binary64)) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))))))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 #s(literal 4 binary64) x) #s(literal -9 binary64))) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))
(/.f64 (*.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 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 #s(literal 4 binary64) x) #s(literal 9 binary64)) (*.f64 (*.f64 x x) (*.f64 x #s(literal 6 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)))) (neg.f64 (fma.f64 x (*.f64 x #s(literal 9 binary64)) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)))))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -9 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64)))) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) x)) (*.f64 x (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 x (*.f64 x #s(literal 9 binary64))))) (*.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)))))
(/.f64 (neg.f64 (*.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 (neg.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 #s(literal 4 binary64) x) #s(literal 9 binary64)) (*.f64 (*.f64 x x) (*.f64 x #s(literal 6 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) x)) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) x)) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) (/.f64 (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) x)) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) (fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) (/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) (*.f64 (/.f64 (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) x)) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) (/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) x)) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) (/.f64 (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) x)) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))) (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) (/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))))) (+.f64 (/.f64 (*.f64 x (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) x)) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)))) (/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal -1 binary64))
(*.f64 x (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))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.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)) x)
(*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -4 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 #s(literal 4 binary64) x) #s(literal 9 binary64)) (*.f64 (*.f64 x x) (*.f64 x #s(literal 6 binary64))))))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 9 binary64)) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)))))))
(*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 #s(literal 4 binary64) x) #s(literal -9 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))))
(*.f64 (*.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 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 #s(literal 4 binary64) x) #s(literal 9 binary64)) (*.f64 (*.f64 x x) (*.f64 x #s(literal 6 binary64)))))))
(*.f64 (/.f64 (fma.f64 x (*.f64 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 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (fma.f64 x #s(literal -6 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64)))))))
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(/.f64 (-.f64 (*.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))) (/.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)))) (*.f64 (/.f64 #s(literal 81 binary64) (fma.f64 x (*.f64 x #s(literal -4 binary64)) #s(literal -9 binary64))) (/.f64 #s(literal 81 binary64) (fma.f64 x (*.f64 x #s(literal -4 binary64)) #s(literal -9 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))) (/.f64 #s(literal 81 binary64) (fma.f64 x (*.f64 x #s(literal -4 binary64)) #s(literal -9 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -4 binary64)) #s(literal 9 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -4 binary64)) #s(literal 9 binary64)))
(*.f64 (fma.f64 x (*.f64 x #s(literal -4 binary64)) #s(literal 9 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 #s(literal 4 binary64) x) #s(literal -9 binary64)))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -64 binary64)) #s(literal 729 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)) #s(literal 81 binary64)) (*.f64 (*.f64 x x) #s(literal 36 binary64)))))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -64 binary64)) #s(literal 729 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) #s(literal -36 binary64))))))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)) #s(literal -81 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal -4 binary64)) #s(literal -9 binary64))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -64 binary64)) #s(literal 729 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)) #s(literal 81 binary64)) (*.f64 (*.f64 x x) #s(literal 36 binary64))))))
(*.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64)) #s(literal -81 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 #s(literal 4 binary64) x) #s(literal 9 binary64))))
(*.f64 (+.f64 #s(literal 729 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 64 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) #s(literal -36 binary64))))))
(*.f64 (+.f64 #s(literal 81 binary64) (*.f64 #s(literal -16 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64)))))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal -27 binary64))) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal -27 binary64))) (+.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64)))))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal -27 binary64))) (+.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64)))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal -27 binary64))) (*.f64 (*.f64 x x) #s(literal 4 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 #s(literal 4 binary64) x) #s(literal -9 binary64))) (*.f64 x #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 #s(literal 4 binary64) x) #s(literal -9 binary64))) #s(literal -3 binary64)))
(+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal -27 binary64)))) (*.f64 (+.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal -27 binary64)))))
(+.f64 (*.f64 (+.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal -27 binary64)))) (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal -27 binary64)))))
(+.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 #s(literal 4 binary64) x) #s(literal -9 binary64)))) (*.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 #s(literal 4 binary64) x) #s(literal -9 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))
(-.f64 (/.f64 (fma.f64 x (*.f64 #s(literal 4 binary64) x) #s(literal 9 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64))) (/.f64 (*.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64))))
(-.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 x (*.f64 #s(literal 4 binary64) x) #s(literal -9 binary64))) (/.f64 #s(literal 3 binary64) (fma.f64 x (*.f64 #s(literal 4 binary64) x) #s(literal -9 binary64))))
(fma.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 #s(literal 4 binary64) x) #s(literal -9 binary64))) (*.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 #s(literal 4 binary64) x) #s(literal -9 binary64)))))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal -27 binary64))) (*.f64 (+.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal -27 binary64)))))
(fma.f64 (+.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal -27 binary64))) (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal -27 binary64)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal -27 binary64))) (*.f64 (*.f64 x x) #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal -27 binary64))) (+.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal -27 binary64))) (+.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal -27 binary64))) (*.f64 (*.f64 x x) #s(literal 4 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 #s(literal 4 binary64) x) #s(literal -9 binary64))) (*.f64 x #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 #s(literal 4 binary64) x) #s(literal -9 binary64))) #s(literal -3 binary64)))
(neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) #s(literal 1 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)) (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 (+.f64 #s(literal 9 binary64) (fma.f64 x #s(literal -6 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal 27 binary64)))
(/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (fma.f64 x (*.f64 #s(literal 4 binary64) x) #s(literal -9 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 9 binary64) (fma.f64 x #s(literal -6 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64))))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal -27 binary64)))
(pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))))
(*.f64 (+.f64 #s(literal 9 binary64) (fma.f64 x #s(literal -6 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal -27 binary64))))
(*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 #s(literal 4 binary64) x) #s(literal -9 binary64))))
(*.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal -27 binary64))) (+.f64 #s(literal 9 binary64) (fma.f64 x #s(literal -6 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64) #s(literal -27 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (fma.f64 x #s(literal -6 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 #s(literal 4 binary64) x) #s(literal -9 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 #s(literal 4 binary64) x) #s(literal -9 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal -3 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal -1/2 binary64))) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal -1/2 binary64)))

eval150.0ms (1.8%)

Memory
48.6MiB live, 412.4MiB allocated
Compiler

Compiled 26 189 to 2 155 computations (91.8% saved)

prune137.0ms (1.6%)

Memory
-39.9MiB live, 367.9MiB allocated
Pruning

12 alts after pruning (3 fresh and 9 done)

PrunedKeptTotal
New1 27731 280
Fresh000
Picked235
Done167
Total1 280121 292
Accuracy
100.0%
Counts
1 292 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓74.9%
(/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* x -2) 3)) (/.f64 #s(literal -1/2 binary64) x)))
✓59.4%
(/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* x -2) 3)) #s(approx (+ (* x 2/9) 1/3) #s(literal 1/3 binary64))))
✓74.9%
(/.f64 #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
74.9%
(/.f64 x (/.f64 #s(approx (/ 1 (+ (* x -2) 3)) (/.f64 #s(literal -1/2 binary64) x)) x))
✓99.4%
(*.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 -2 binary64) #s(literal 3 binary64)) (*.f64 x x))
70.5%
(*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))) #s(approx (/ 1 (+ (* x 2) 3)) (/.f64 #s(literal 1/2 binary64) x)))
64.9%
(*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))) #s(approx (/ 1 (+ (* x 2) 3)) #s(literal 1/3 binary64)))
✓99.8%
(*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)
✓74.9%
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))
✓59.4%
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
✓59.4%
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x (*.f64 x #s(literal 3 binary64))))
Compiler

Compiled 340 to 134 computations (60.6% saved)

regimes18.0ms (0.2%)

Memory
15.6MiB live, 49.2MiB allocated
Counts
21 → 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 (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) #s(approx (/ 1 (+ (* x -2) 3)) #s(literal 1/3 binary64)))
(/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* x -2) 3)) #s(approx (+ (* x 2/9) 1/3) #s(literal 1/3 binary64))))
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 x #s(literal 3 binary64))) x)
(/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* x -2) 3)) (fma.f64 x #s(literal 2/9 binary64) #s(literal 1/3 binary64))))
(*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))) #s(approx (/ 1 (+ (* x 2) 3)) #s(literal 1/3 binary64)))
(fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))
(/.f64 (*.f64 x x) #s(approx (/ 1 (+ (* x -2) 3)) (/.f64 #s(literal -1/2 binary64) x)))
(/.f64 #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))))
(/.f64 x (/.f64 #s(approx (/ 1 (+ (* x -2) 3)) (/.f64 #s(literal -1/2 binary64) x)) x))
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))
(*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))) #s(approx (/ 1 (+ (* x 2) 3)) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(*.f64 (*.f64 (*.f64 x x) (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 (*.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
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x))
Calls

2 calls:

11.0ms
x
5.0ms
(*.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)

regimes4.0ms (0.1%)

Memory
14.1MiB live, 14.1MiB allocated
Counts
4 → 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 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)
Outputs
(*.f64 (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 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
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)

regimes5.0ms (0.1%)

Memory
-26.3MiB live, 12.2MiB allocated
Counts
3 → 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)))
Outputs
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))
Calls

2 calls:

3.0ms
x
2.0ms
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
Results
AccuracySegmentsBranch
97.2%3x
97.2%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
10.8MiB live, 10.8MiB allocated
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
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
Calls

2 calls:

1.0ms
x
1.0ms
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
Results
AccuracySegmentsBranch
59.4%1x
59.4%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)

regimes3.0ms (0%)

Memory
9.2MiB live, 9.2MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x (*.f64 x #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
59.4%1(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
59.4%1x
Compiler

Compiled 12 to 8 computations (33.3% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
7.978179649884543e-6
89.77901517907576
0.0ms
-18440933900765560.0
0.0
Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify9.0ms (0.1%)

Memory
-15.8MiB live, 23.7MiB allocated
Algorithm
1×egg-herbie
Rules
26×*-commutative_binary64
8×+-commutative_binary64
8×sub-neg_binary64
6×neg-sub0_binary64
6×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030103
145103
257103
363103
467103
568103
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 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 5902958103587057/590295810358705651712 binary64)) (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))))
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x (*.f64 x #s(literal 3 binary64))))
Outputs
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 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 5902958103587057/590295810358705651712 binary64)) (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))))
(if (<=.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 5902958103587057/590295810358705651712 binary64)) (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 x #s(literal -2 binary64))))))
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 x (*.f64 x #s(literal 3 binary64))))

soundness1.1s (13%)

Memory
-10.1MiB live, 370.6MiB allocated
Rules
20 650×lower-fma.f64
20 650×lower-fma.f32
9 334×lower-fma.f64
9 334×lower-fma.f32
4 144×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0720
01120
13520
221920
3175920
0851618
024220
163220
2165220
3494220
41369220
52276220
63140220
73877220
85631220
96275220
106644220
08428202
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 150 to 61 computations (59.3% saved)

preprocess211.0ms (2.5%)

Memory
-3.6MiB live, 110.8MiB allocated
Compiler

Compiled 190 to 74 computations (61.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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