Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, H

Time bar (total: 5.2s)

analyze0.0ms (0%)

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

Compiled 9 to 8 computations (11.1% saved)

sample523.0ms (10%)

Memory
27.5MiB live, 1 054.2MiB allocated
Samples
366.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 212.0ms
ival-sub: 67.0ms (31.5% of total)
ival-mult: 66.0ms (31.1% of total)
ival-div: 62.0ms (29.2% of total)
exact: 8.0ms (3.8% of total)
ival-true: 6.0ms (2.8% of total)
ival-assert: 3.0ms (1.4% of total)
Bogosity

preprocess20.0ms (0.4%)

Memory
7.2MiB live, 46.1MiB allocated
Algorithm
egg-herbie
Rules
40×associate-/l*
38×associate-*r*
36×distribute-lft-neg-in
32×sub-neg
30×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01121
13321
27121
316821
429421
537221
639821
740621
067
1137
2197
3217
0216
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(/ (- (* x x) 3) 6)
Outputs
(/ (- (* x x) 3) 6)
(fma.f64 x (/.f64 x #s(literal 6 binary64)) #s(literal -1/2 binary64))
Call 2
Inputs
(/ (- (* x x) 3) 6)
(/ (- (* (neg x) (neg x)) 3) 6)
(neg (/ (- (* (neg x) (neg x)) 3) 6))
Outputs
(/ (- (* x x) 3) 6)
(+ (* x (* x 1/6)) -1/2)
(/ (- (* (neg x) (neg x)) 3) 6)
(+ (* x (* x 1/6)) -1/2)
(neg (/ (- (* (neg x) (neg x)) 3) 6))
(+ 1/2 (* x (* x -1/6)))
Symmetry

(abs x)

explain74.0ms (1.4%)

Memory
-40.2MiB live, 190.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-#s(literal 6 binary64)
00-0-#s(literal 3 binary64)
00-0-(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
00-0-(*.f64 x x)
00-0-(-.f64 (*.f64 x x) #s(literal 3 binary64))
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
25.0ms512×0valid
Compiler

Compiled 56 to 28 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 4.0ms (37.3% of total)
ival-div: 3.0ms (27.9% of total)
ival-sub: 2.0ms (18.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
Compiler

Compiled 8 to 6 computations (25% saved)

simplify8.0ms (0.1%)

Memory
-30.1MiB live, 10.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
cost-diff128
(-.f64 (*.f64 x x) #s(literal 3 binary64))
Rules
+-lowering-+.f64
+-lowering-+.f32
/-lowering-/.f32
/-lowering-/.f64
*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0618
11318
21918
32118
02116
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ (- (* x x) 3) 6)
(- (* x x) 3)
(* x x)
x
3
6
Outputs
(/ (- (* x x) 3) 6)
(fma.f64 x (/.f64 x #s(literal 6 binary64)) #s(literal -1/2 binary64))
(- (* x x) 3)
(fma.f64 x x #s(literal -3 binary64))
(* x x)
(*.f64 x x)
x
3
#s(literal 3 binary64)
6
#s(literal 6 binary64)

localize19.0ms (0.4%)

Memory
10.6MiB live, 49.1MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 (*.f64 x x) #s(literal 3 binary64))
accuracy100.0%
(*.f64 x x)
accuracy99.9%
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
Samples
13.0ms256×0valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 3.0ms (45.4% of total)
ival-div: 2.0ms (30.2% of total)
ival-sub: 1.0ms (15.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0%)

Memory
4.5MiB live, 4.5MiB allocated
Counts
3 → 36
Calls
Call 1
Inputs
#<alt (- (* x x) 3)>
#<alt (/ (- (* x x) 3) 6)>
#<alt (* x x)>
Outputs
#<alt -3>
#<alt (- (pow x 2) 3)>
#<alt (- (pow x 2) 3)>
#<alt (- (pow x 2) 3)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))>
#<alt -1/2>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
Calls

9 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(- (* x x) 3)
0.0ms
x
@0
(/ (- (* x x) 3) 6)
0.0ms
x
@0
(- (* x x) 3)
0.0ms
x
@inf
(/ (- (* x x) 3) 6)
0.0ms
x
@inf
(* x x)

rewrite454.0ms (8.7%)

Memory
35.9MiB live, 785.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 168×/-lowering-/.f32
5 168×/-lowering-/.f64
4 318×*-lowering-*.f32
4 318×*-lowering-*.f64
4 062×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
13915
222715
3183215
0868513
Stop Event
iter limit
node limit
Counts
3 → 516
Calls
Call 1
Inputs
(- (* x x) 3)
(/ (- (* x x) 3) 6)
(* x x)
Outputs
(+.f64 (*.f64 x x) #s(literal -3 binary64))
(+.f64 #s(literal -3 binary64) (*.f64 x x))
(+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))) (neg.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))))))
(+.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64)))))
(+.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) #s(literal -3 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64)))) #s(literal -1 binary64)))
(-.f64 (*.f64 x x) #s(literal 3 binary64))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 3 binary64) (*.f64 x x)))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))) (/.f64 #s(literal 27 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))))
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 9 binary64)) (*.f64 (*.f64 x x) #s(literal -3 binary64)))) (/.f64 #s(literal 27 binary64) (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 9 binary64)) (*.f64 (*.f64 x x) #s(literal -3 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) #s(literal 729 binary64)))) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))) (/.f64 (/.f64 #s(literal 19683 binary64) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) #s(literal 729 binary64)))) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 27 binary64))) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))) (/.f64 (/.f64 #s(literal 729 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 27 binary64))) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) #s(literal 729 binary64)))) (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 9 binary64)) (*.f64 (*.f64 x x) #s(literal -3 binary64)))) (/.f64 (/.f64 #s(literal 19683 binary64) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) #s(literal 729 binary64)))) (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 9 binary64)) (*.f64 (*.f64 x x) #s(literal -3 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 27 binary64))) (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 9 binary64)) (*.f64 (*.f64 x x) #s(literal -3 binary64)))) (/.f64 (/.f64 #s(literal 729 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 27 binary64))) (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 9 binary64)) (*.f64 (*.f64 x x) #s(literal -3 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))))) (/.f64 #s(literal 27 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) #s(literal 729 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))))) (/.f64 (/.f64 #s(literal 19683 binary64) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) #s(literal 729 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 27 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))))) (/.f64 (/.f64 #s(literal 729 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 27 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))))))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 9 binary64) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -3 binary64))))) (/.f64 #s(literal 27 binary64) (+.f64 #s(literal 9 binary64) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -3 binary64))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) #s(literal 729 binary64)))) (+.f64 #s(literal 9 binary64) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -3 binary64))))) (/.f64 (/.f64 #s(literal 19683 binary64) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) #s(literal 729 binary64)))) (+.f64 #s(literal 9 binary64) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -3 binary64))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 27 binary64))) (+.f64 #s(literal 9 binary64) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -3 binary64))))) (/.f64 (/.f64 #s(literal 729 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 27 binary64))) (+.f64 #s(literal 9 binary64) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal -3 binary64))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 9 binary64)) #s(literal 81 binary64)))) (fma.f64 x x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 729 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 9 binary64)) #s(literal 81 binary64)))) (fma.f64 x x #s(literal 3 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 9 binary64))) (fma.f64 x x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 81 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 9 binary64))) (fma.f64 x x #s(literal 3 binary64))))
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 3 binary64))))) (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))))
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(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64))))) (/.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 3 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -729 binary64)) #s(literal 6 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 27 binary64))) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -729 binary64)) #s(literal 6 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 27 binary64))) (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 9 binary64)) (*.f64 (*.f64 x x) #s(literal -3 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -729 binary64)) #s(literal 6 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 9 binary64)) #s(literal 81 binary64)))) (fma.f64 x x #s(literal 3 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal -19683 binary64)) #s(literal 6 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) #s(literal 729 binary64)))) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal -19683 binary64)) #s(literal 6 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) #s(literal 729 binary64)))) (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 9 binary64)) (*.f64 (*.f64 x x) #s(literal -3 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -729 binary64)) (fma.f64 x x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 9 binary64)) #s(literal 81 binary64)))) #s(literal 6 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -81 binary64)) #s(literal 6 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 9 binary64))) (fma.f64 x x #s(literal 3 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -81 binary64)) (fma.f64 x x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 9 binary64))) #s(literal 6 binary64)))
(*.f64 (/.f64 #s(literal 1/6 binary64) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))))))))
(*.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))))))
(*.f64 (/.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64)))))
(*.f64 (/.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 27 binary64))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal 3 binary64)))))))
(*.f64 (/.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -27 binary64)))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))))
(*.f64 (/.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -27 binary64)))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 9 binary64)) (*.f64 (*.f64 x x) #s(literal -3 binary64)))))
(*.f64 (/.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)))) (fma.f64 x x #s(literal -3 binary64)))
(*.f64 (/.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64)))))
(*.f64 (/.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -27 binary64))))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))))))
(*.f64 (/.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64))))) (-.f64 #s(literal 3 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -27 binary64)))) (/.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64))) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -27 binary64)))) (/.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64))) (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 9 binary64)) (*.f64 (*.f64 x x) #s(literal -3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -27 binary64))))) (/.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64))))) (/.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 3 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -27 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1/6 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -27 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1/6 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -27 binary64)))) (/.f64 #s(literal -1/6 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -27 binary64)))) (/.f64 #s(literal -1/6 binary64) (-.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 9 binary64)) (*.f64 (*.f64 x x) #s(literal -3 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)))) (/.f64 #s(literal -1/6 binary64) (fma.f64 x x #s(literal 3 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -27 binary64))))) (/.f64 #s(literal 1/6 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64))))) (/.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 3 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(*.f64 x x)

simplify302.0ms (5.8%)

Memory
-27.8MiB live, 246.8MiB allocated
Algorithm
egg-herbie
Rules
4 388×*-lowering-*.f32
4 388×*-lowering-*.f64
2 828×accelerator-lowering-fma.f32
2 828×accelerator-lowering-fma.f64
1 846×cube-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019162
143162
298162
3235162
4748162
51583162
62320162
73495162
84221162
95328162
106382162
117111162
08024144
Stop Event
iter limit
node limit
Counts
36 → 36
Calls
Call 1
Inputs
-3
(- (pow x 2) 3)
(- (pow x 2) 3)
(- (pow x 2) 3)
(pow x 2)
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
Outputs
-3
#s(literal -3 binary64)
(- (pow x 2) 3)
(fma.f64 x x #s(literal -3 binary64))
(- (pow x 2) 3)
(fma.f64 x x #s(literal -3 binary64))
(- (pow x 2) 3)
(fma.f64 x x #s(literal -3 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -3 binary64))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -3 binary64))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -3 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -3 binary64))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -3 binary64))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -3 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/6 binary64) #s(literal 0 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/6 binary64) #s(literal 0 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))

eval160.0ms (3.1%)

Memory
17.3MiB live, 99.2MiB allocated
Compiler

Compiled 24 103 to 1 649 computations (93.2% saved)

prune106.0ms (2%)

Memory
0.6MiB live, 159.0MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New5466552
Fresh000
Picked101
Done000
Total5476553
Accuracy
100.0%
Counts
553 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
99.8%
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
65.7%
(/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal 18 binary64)))
48.3%
(/.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 6 binary64))
99.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))))
52.9%
#s(literal -1/2 binary64)
Compiler

Compiled 96 to 64 computations (33.3% saved)

simplify5.0ms (0.1%)

Memory
10.1MiB live, 10.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 x x #s(literal 0 binary64))
cost-diff64
(/.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 6 binary64))
cost-diff-64
(*.f64 x x)
cost-diff64
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
cost-diff0
(*.f64 x #s(literal 1/6 binary64))
cost-diff0
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
cost-diff0
(fma.f64 x x #s(literal -3 binary64))
cost-diff0
(/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64)))
cost-diff1088
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))))
Rules
24×+-lowering-+.f64
24×+-lowering-+.f32
24×accelerator-lowering-fma.f32
24×accelerator-lowering-fma.f64
22×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01861
13061
24461
34961
04956
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ 1 (/ 6 (+ (* x x) -3)))
1
(/ 6 (+ (* x x) -3))
6
(+ (* x x) -3)
x
-3
-1/2
(+ (* (* x 1/6) x) -1/2)
(* x 1/6)
x
1/6
-1/2
(+ (* (* x x) 1/6) -1/2)
(* x x)
x
1/6
-1/2
(/ (+ (* x x) 0) 6)
(+ (* x x) 0)
x
0
6
Outputs
(/ 1 (/ 6 (+ (* x x) -3)))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
1
#s(literal 1 binary64)
(/ 6 (+ (* x x) -3))
(/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64)))
6
#s(literal 6 binary64)
(+ (* x x) -3)
(fma.f64 x x #s(literal -3 binary64))
x
-3
#s(literal -3 binary64)
-1/2
#s(literal -1/2 binary64)
(+ (* (* x 1/6) x) -1/2)
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(* x 1/6)
(*.f64 x #s(literal 1/6 binary64))
x
1/6
#s(literal 1/6 binary64)
-1/2
#s(literal -1/2 binary64)
(+ (* (* x x) 1/6) -1/2)
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(* x x)
(fma.f64 x x #s(literal 0 binary64))
x
1/6
#s(literal 1/6 binary64)
-1/2
#s(literal -1/2 binary64)
(/ (+ (* x x) 0) 6)
(*.f64 x (/.f64 x #s(literal 6 binary64)))
(+ (* x x) 0)
(fma.f64 x x #s(literal 0 binary64))
x
0
#s(literal 0 binary64)
6
#s(literal 6 binary64)

localize59.0ms (1.1%)

Memory
-23.8MiB live, 93.0MiB allocated
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 x x #s(literal 0 binary64))
accuracy99.8%
(/.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 6 binary64))
accuracy100.0%
(*.f64 x x)
accuracy99.9%
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
accuracy99.9%
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
accuracy99.5%
(*.f64 x #s(literal 1/6 binary64))
accuracy100.0%
(fma.f64 x x #s(literal -3 binary64))
accuracy99.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))))
accuracy99.7%
(/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64)))
Samples
35.0ms256×0valid
Compiler

Compiled 62 to 20 computations (67.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 9.0ms (36.9% of total)
const: 6.0ms (24.6% of total)
ival-div: 5.0ms (20.5% of total)
ival-add: 4.0ms (16.4% of total)
exact: 1.0ms (4.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
6.2MiB live, 6.2MiB allocated
Counts
9 → 108
Calls
Call 1
Inputs
#<alt (/ 1 (/ 6 (+ (* x x) -3)))>
#<alt (/ 6 (+ (* x x) -3))>
#<alt (+ (* x x) -3)>
#<alt (+ (* (* x 1/6) x) -1/2)>
#<alt (* x 1/6)>
#<alt (+ (* (* x x) 1/6) -1/2)>
#<alt (* x x)>
#<alt (/ (+ (* x x) 0) 6)>
#<alt (+ (* x x) 0)>
Outputs
#<alt -1/2>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt -2>
#<alt (- (* -2/3 (pow x 2)) 2)>
#<alt (- (* (pow x 2) (- (* -2/9 (pow x 2)) 2/3)) 2)>
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -2/27 (pow x 2)) 2/9)) 2/3)) 2)>
#<alt (/ 6 (pow x 2))>
#<alt (/ (+ 6 (* 18 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (/ 54 (pow x 4)))) (pow x 2))>
#<alt (/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (+ (* 162 (/ 1 (pow x 6))) (/ 54 (pow x 4))))) (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ (+ 6 (* 18 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (/ 54 (pow x 4)))) (pow x 2))>
#<alt (/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (+ (* 162 (/ 1 (pow x 6))) (/ 54 (pow x 4))))) (pow x 2))>
#<alt -3>
#<alt (- (pow x 2) 3)>
#<alt (- (pow x 2) 3)>
#<alt (- (pow x 2) 3)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))>
#<alt -1/2>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt -1/2>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
Calls

27 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(/ 6 (+ (* x x) -3))
0.0ms
x
@inf
(* x 1/6)
0.0ms
x
@-inf
(* x 1/6)
0.0ms
x
@0
(* x 1/6)
0.0ms
x
@inf
(/ (+ (* x x) 0) 6)

rewrite493.0ms (9.4%)

Memory
8.3MiB live, 868.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
8 460×accelerator-lowering-fma.f32
8 460×accelerator-lowering-fma.f64
4 358×*-lowering-*.f32
4 358×*-lowering-*.f64
3 610×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01847
110747
272347
3763247
0880442
Stop Event
iter limit
node limit
Counts
9 → 1 571
Calls
Call 1
Inputs
(/ 1 (/ 6 (+ (* x x) -3)))
(/ 6 (+ (* x x) -3))
(+ (* x x) -3)
(+ (* (* x 1/6) x) -1/2)
(* x 1/6)
(+ (* (* x x) 1/6) -1/2)
(* x x)
(/ (+ (* x x) 0) 6)
(+ (* x x) 0)
Outputs
(+.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 0 binary64)) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 0 binary64)))
(+.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(+.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(+.f64 (/.f64 (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/36 binary64) #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/6 binary64) #s(literal -1/2 binary64)))))
(exp.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (log.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))))
(-.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/6 binary64) #s(literal 0 binary64)))
(-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(-.f64 (/.f64 (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/36 binary64) #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal -1/4 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/6 binary64) #s(literal -1/2 binary64))))
(-.f64 (/.f64 (/.f64 (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/36 binary64) #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/6 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x #s(literal 3 binary64))) #s(literal 6 binary64)) (/.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))) #s(literal 6 binary64)))
(-.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 18 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 18 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 0 binary64)))) (/.f64 (fma.f64 x (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/36 binary64) #s(literal 0 binary64))) #s(literal 0 binary64)) (-.f64 #s(literal -1/2 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 0 binary64)))))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 0 binary64)) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(fma.f64 x (*.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(fma.f64 x (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))
(fma.f64 x (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal -1/2 binary64))
(fma.f64 x (/.f64 (*.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/36 binary64) #s(literal 0 binary64))) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/6 binary64) #s(literal -1/2 binary64)))))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal -1/2 binary64))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal -1/2 binary64))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/36 binary64) #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/6 binary64) #s(literal -1/2 binary64)))))
(fma.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 1/6 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/6 binary64) #s(literal -1/2 binary64)))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 (fma.f64 x (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/6 binary64) #s(literal -1/2 binary64)))))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64) #s(literal -1/2 binary64))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 0 binary64)) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64))
(fma.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 0 binary64)) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal -1/2 binary64))
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(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))
(*.f64 x x)
(*.f64 x (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 x (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(*.f64 x (*.f64 x #s(literal 1 binary64)))
(*.f64 x (*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))))
(*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))))
(*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 (fma.f64 x (*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (fma.f64 x (*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 x (fma.f64 x x #s(literal 0 binary64))))
(*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))))
(*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))))
(*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))))
(*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x (*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64)))
(*.f64 (/.f64 x (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))))
(*.f64 (/.f64 x x) (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x))
(*.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 x x #s(literal 0 binary64)) x))
(*.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) x) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) x) (/.f64 (fma.f64 x x #s(literal 0 binary64)) x))
(*.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x))
(*.f64 (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x) (/.f64 x x))
(*.f64 (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x) (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) x))
(*.f64 (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 (/.f64 x (fma.f64 x (*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))))
(*.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))))
(*.f64 (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x (*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))))
(*.f64 (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 x (*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 x (*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 x (*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x (*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) x)
(*.f64 (*.f64 #s(literal 1 binary64) x) x)
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 (/.f64 (fma.f64 x (*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 x (*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64)))

simplify283.0ms (5.4%)

Memory
0.6MiB live, 439.7MiB allocated
Algorithm
egg-herbie
Rules
6 490×accelerator-lowering-fma.f32
6 490×accelerator-lowering-fma.f64
3 366×*-lowering-*.f32
3 366×*-lowering-*.f64
1 410×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059594
1115594
2245594
3508594
41273594
52295594
63186594
74689594
86025594
97923594
08056552
Stop Event
iter limit
node limit
Counts
108 → 108
Calls
Call 1
Inputs
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
-2
(- (* -2/3 (pow x 2)) 2)
(- (* (pow x 2) (- (* -2/9 (pow x 2)) 2/3)) 2)
(- (* (pow x 2) (- (* (pow x 2) (- (* -2/27 (pow x 2)) 2/9)) 2/3)) 2)
(/ 6 (pow x 2))
(/ (+ 6 (* 18 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (/ 54 (pow x 4)))) (pow x 2))
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (+ (* 162 (/ 1 (pow x 6))) (/ 54 (pow x 4))))) (pow x 2))
(/ 6 (pow x 2))
(/ (+ 6 (* 18 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (/ 54 (pow x 4)))) (pow x 2))
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (+ (* 162 (/ 1 (pow x 6))) (/ 54 (pow x 4))))) (pow x 2))
-3
(- (pow x 2) 3)
(- (pow x 2) 3)
(- (pow x 2) 3)
(pow x 2)
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
-2
#s(literal -2 binary64)
(- (* -2/3 (pow x 2)) 2)
(fma.f64 x (fma.f64 x #s(literal -2/3 binary64) #s(literal 0 binary64)) #s(literal -2 binary64))
(- (* (pow x 2) (- (* -2/9 (pow x 2)) 2/3)) 2)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -2/9 binary64) #s(literal -2/3 binary64)) #s(literal -2 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -2/27 (pow x 2)) 2/9)) 2/3)) 2)
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal -2/27 binary64) #s(literal 0 binary64)) #s(literal -2/9 binary64)) #s(literal -2/3 binary64)) #s(literal -2 binary64))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal 0 binary64)))
(/ (+ 6 (* 18 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x x #s(literal 0 binary64)))
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (/ 54 (pow x 4)))) (pow x 2))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (+.f64 #s(literal 18 binary64) (/.f64 #s(literal 54 binary64) (fma.f64 x x #s(literal 0 binary64)))) #s(literal 6 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (+ (* 162 (/ 1 (pow x 6))) (/ 54 (pow x 4))))) (pow x 2))
(/.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (+.f64 #s(literal 18 binary64) (/.f64 #s(literal 54 binary64) (fma.f64 x x #s(literal 0 binary64)))) #s(literal 6 binary64)) (/.f64 #s(literal 162 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 x x #s(literal 0 binary64)))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal 0 binary64)))
(/ (+ 6 (* 18 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x x #s(literal 0 binary64)))
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (/ 54 (pow x 4)))) (pow x 2))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (+.f64 #s(literal 18 binary64) (/.f64 #s(literal 54 binary64) (fma.f64 x x #s(literal 0 binary64)))) #s(literal 6 binary64)) (fma.f64 x x #s(literal 0 binary64)))
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (+ (* 162 (/ 1 (pow x 6))) (/ 54 (pow x 4))))) (pow x 2))
(/.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (+.f64 #s(literal 18 binary64) (/.f64 #s(literal 54 binary64) (fma.f64 x x #s(literal 0 binary64)))) #s(literal 6 binary64)) (/.f64 #s(literal 162 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 x x #s(literal 0 binary64)))
-3
#s(literal -3 binary64)
(- (pow x 2) 3)
(fma.f64 x x #s(literal -3 binary64))
(- (pow x 2) 3)
(fma.f64 x x #s(literal -3 binary64))
(- (pow x 2) 3)
(fma.f64 x x #s(literal -3 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -3 binary64))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -3 binary64))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -3 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -3 binary64))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -3 binary64))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -3 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))

eval196.0ms (3.7%)

Memory
34.1MiB live, 302.2MiB allocated
Compiler

Compiled 45 266 to 2 215 computations (95.1% saved)

prune117.0ms (2.2%)

Memory
16.3MiB live, 216.0MiB allocated
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New1 67631 679
Fresh011
Picked145
Done000
Total1 67781 685
Accuracy
100.0%
Counts
1 685 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
99.9%
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
99.8%
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
65.7%
(/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal 18 binary64)))
48.3%
(/.f64 (*.f64 x x) #s(literal 6 binary64))
99.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))))
48.2%
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
52.9%
#s(literal -1/2 binary64)
Compiler

Compiled 60 to 40 computations (33.3% saved)

simplify7.0ms (0.1%)

Memory
-32.8MiB live, 6.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 x #s(literal 6 binary64))
cost-diff0
(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
cost-diff0
(fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal 18 binary64))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64))
cost-diff0
(/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal 18 binary64)))
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 (*.f64 x x) #s(literal 6 binary64))
cost-diff0
(*.f64 x #s(literal 1/6 binary64))
cost-diff0
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
Rules
40×*-lowering-*.f32
40×*-lowering-*.f64
18×accelerator-lowering-fma.f32
18×accelerator-lowering-fma.f64
12×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01873
13269
24065
34465
44665
04662
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* (* x 1/6) x)
(* x 1/6)
x
1/6
(/ (* x x) 6)
(* x x)
x
6
(/ (+ (* (* x x) (* x x)) -9) (+ (* (* x x) 6) 18))
(+ (* (* x x) (* x x)) -9)
(* x x)
x
-9
(+ (* (* x x) 6) 18)
6
18
(+ (* (/ x 6) x) -1/2)
(/ x 6)
x
6
-1/2
Outputs
(* (* x 1/6) x)
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(* x 1/6)
(*.f64 x #s(literal 1/6 binary64))
x
1/6
#s(literal 1/6 binary64)
(/ (* x x) 6)
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(* x x)
(*.f64 x x)
x
6
#s(literal 6 binary64)
(/ (+ (* (* x x) (* x x)) -9) (+ (* (* x x) 6) 18))
(/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (fma.f64 x (*.f64 x #s(literal 6 binary64)) #s(literal 18 binary64)))
(+ (* (* x x) (* x x)) -9)
(fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64))
(* x x)
(*.f64 x x)
x
-9
#s(literal -9 binary64)
(+ (* (* x x) 6) 18)
(fma.f64 x (*.f64 x #s(literal 6 binary64)) #s(literal 18 binary64))
6
#s(literal 6 binary64)
18
#s(literal 18 binary64)
(+ (* (/ x 6) x) -1/2)
(fma.f64 x (/.f64 x #s(literal 6 binary64)) #s(literal -1/2 binary64))
(/ x 6)
(/.f64 x #s(literal 6 binary64))
x
6
#s(literal 6 binary64)
-1/2
#s(literal -1/2 binary64)

localize51.0ms (1%)

Memory
24.6MiB live, 62.5MiB allocated
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 x #s(literal 6 binary64))
accuracy99.9%
(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
accuracy100.0%
(*.f64 x x)
accuracy99.9%
(fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64))
accuracy99.9%
(fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal 18 binary64))
accuracy69.8%
(/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal 18 binary64)))
accuracy100.0%
(*.f64 x x)
accuracy99.8%
(/.f64 (*.f64 x x) #s(literal 6 binary64))
accuracy99.8%
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
accuracy99.5%
(*.f64 x #s(literal 1/6 binary64))
Samples
33.0ms256×0valid
Compiler

Compiled 70 to 20 computations (71.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 9.0ms (42.4% of total)
ival-div: 5.0ms (23.5% of total)
const: 4.0ms (18.8% of total)
ival-add: 3.0ms (14.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
4.0MiB live, 4.0MiB allocated
Counts
9 → 108
Calls
Call 1
Inputs
#<alt (* (* x 1/6) x)>
#<alt (* x 1/6)>
#<alt (/ (* x x) 6)>
#<alt (* x x)>
#<alt (/ (+ (* (* x x) (* x x)) -9) (+ (* (* x x) 6) 18))>
#<alt (+ (* (* x x) (* x x)) -9)>
#<alt (+ (* (* x x) 6) 18)>
#<alt (+ (* (/ x 6) x) -1/2)>
#<alt (/ x 6)>
Outputs
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt -1/2>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt -9>
#<alt (- (pow x 4) 9)>
#<alt (- (pow x 4) 9)>
#<alt (- (pow x 4) 9)>
#<alt (pow x 4)>
#<alt (* (pow x 4) (- 1 (* 9 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 1 (* 9 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 1 (* 9 (/ 1 (pow x 4)))))>
#<alt (pow x 4)>
#<alt (* (pow x 4) (- 1 (* 9 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 1 (* 9 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 1 (* 9 (/ 1 (pow x 4)))))>
#<alt 18>
#<alt (+ 18 (* 6 (pow x 2)))>
#<alt (+ 18 (* 6 (pow x 2)))>
#<alt (+ 18 (* 6 (pow x 2)))>
#<alt (* 6 (pow x 2))>
#<alt (* (pow x 2) (+ 6 (* 18 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 6 (* 18 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 6 (* 18 (/ 1 (pow x 2)))))>
#<alt (* 6 (pow x 2))>
#<alt (* (pow x 2) (+ 6 (* 18 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 6 (* 18 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 6 (* 18 (/ 1 (pow x 2)))))>
#<alt -1/2>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
Calls

27 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/ (+ (* (* x x) (* x x)) -9) (+ (* (* x x) 6) 18))
0.0ms
x
@inf
(/ (+ (* (* x x) (* x x)) -9) (+ (* (* x x) 6) 18))
0.0ms
x
@inf
(+ (* (* x x) (* x x)) -9)
0.0ms
x
@-inf
(/ (+ (* (* x x) (* x x)) -9) (+ (* (* x x) 6) 18))
0.0ms
x
@0
(+ (* (* x x) (* x x)) -9)

rewrite308.0ms (5.9%)

Memory
-17.2MiB live, 373.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 520×accelerator-lowering-fma.f32
5 520×accelerator-lowering-fma.f64
5 232×*-lowering-*.f32
5 232×*-lowering-*.f64
3 902×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01855
19751
269351
0861848
Stop Event
iter limit
node limit
Counts
9 → 528
Calls
Call 1
Inputs
(* (* x 1/6) x)
(* x 1/6)
(/ (* x x) 6)
(* x x)
(/ (+ (* (* x x) (* x x)) -9) (+ (* (* x x) 6) 18))
(+ (* (* x x) (* x x)) -9)
(+ (* (* x x) 6) 18)
(+ (* (/ x 6) x) -1/2)
(/ x 6)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))
(neg.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))
(neg.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) x))
(neg.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(neg.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))))
(/.f64 x (/.f64 #s(literal 6 binary64) x))
(/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(/.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -6 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -6 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -6 binary64) (*.f64 x x)))
(/.f64 (*.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -6 binary64) x))
(pow.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -1 binary64))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/6 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
(*.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x #s(literal -1/6 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 #s(literal -1/6 binary64) x))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1/6 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))
(*.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(*.f64 (*.f64 x #s(literal -1/6 binary64)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 6 binary64) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1/6 binary64)))
(neg.f64 (*.f64 x #s(literal -1/6 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/6 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 6 binary64) x)))
(/.f64 x #s(literal 6 binary64))
(/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -6 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -6 binary64) x))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -6 binary64))
(pow.f64 (/.f64 #s(literal 6 binary64) x) #s(literal -1 binary64))
(*.f64 x #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/6 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/6 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/6 binary64)))
(*.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 0 binary64) x))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1/6 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 6 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 6 binary64) x) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))
(neg.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))
(neg.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) x))
(neg.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(neg.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))))
(/.f64 x (/.f64 #s(literal 6 binary64) x))
(/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(/.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -6 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -6 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -6 binary64) (*.f64 x x)))
(/.f64 (*.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -6 binary64) x))
(pow.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -1 binary64))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/6 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
(*.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x #s(literal -1/6 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 #s(literal -1/6 binary64) x))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1/6 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))
(*.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(*.f64 (*.f64 x #s(literal -1/6 binary64)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (pow.f64 (*.f64 x x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -6 binary64) #s(literal -18 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -6 binary64) #s(literal -18 binary64))) #s(literal -9 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -6 binary64) #s(literal -18 binary64))) #s(literal -9 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -6 binary64) #s(literal -18 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
(+.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -9 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64)) #s(literal 5832 binary64))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 36 binary64))))) (*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -9 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64)) #s(literal 5832 binary64))) (-.f64 #s(literal 324 binary64) (*.f64 (*.f64 x x) #s(literal 108 binary64)))))
(+.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -9 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64)) #s(literal 5832 binary64))) (-.f64 #s(literal 324 binary64) (*.f64 (*.f64 x x) #s(literal 108 binary64)))) (*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -9 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64)) #s(literal 5832 binary64))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 36 binary64))))))
(+.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -9 binary64)) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 36 binary64))) #s(literal -324 binary64))) (*.f64 (*.f64 x x) #s(literal 6 binary64))) (*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -9 binary64)) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 36 binary64))) #s(literal -324 binary64))) #s(literal -18 binary64)))
(+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -6 binary64) #s(literal -18 binary64)))) (*.f64 #s(literal -9 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -6 binary64) #s(literal -18 binary64)))))
(+.f64 (*.f64 #s(literal -9 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -6 binary64) #s(literal -18 binary64)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -6 binary64) #s(literal -18 binary64)))))
(+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 36 binary64)))) (/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -9 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64)) #s(literal 5832 binary64)))) (*.f64 (-.f64 #s(literal 324 binary64) (*.f64 (*.f64 x x) #s(literal 108 binary64))) (/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -9 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64)) #s(literal 5832 binary64)))))
(+.f64 (*.f64 (-.f64 #s(literal 324 binary64) (*.f64 (*.f64 x x) #s(literal 108 binary64))) (/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -9 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64)) #s(literal 5832 binary64)))) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 36 binary64)))) (/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -9 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64)) #s(literal 5832 binary64)))))
(+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 6 binary64)) (/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -9 binary64)) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 36 binary64))) #s(literal -324 binary64)))) (*.f64 #s(literal -18 binary64) (/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -9 binary64)) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 36 binary64))) #s(literal -324 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 6 binary64)) #s(literal 18 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -9 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -9 binary64)) (fma.f64 (*.f64 x x) #s(literal -6 binary64) #s(literal -18 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 9 binary64))) (fma.f64 x (*.f64 x #s(literal 6 binary64)) #s(literal 18 binary64))) (/.f64 (/.f64 #s(literal 81 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 9 binary64))) (fma.f64 x (*.f64 x #s(literal 6 binary64)) #s(literal 18 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) #s(literal -6 binary64) #s(literal -18 binary64))) (/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -9 binary64)) (fma.f64 (*.f64 x x) #s(literal -6 binary64) #s(literal -18 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 x (*.f64 x #s(literal 6 binary64)) #s(literal 18 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 9 binary64)))) (/.f64 #s(literal 81 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 6 binary64)) #s(literal 18 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 9 binary64)))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -6 binary64) #s(literal -18 binary64))) (*.f64 #s(literal -9 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -6 binary64) #s(literal -18 binary64)))))
(fma.f64 #s(literal -9 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -6 binary64) #s(literal -18 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -6 binary64) #s(literal -18 binary64)))))
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(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/46656 binary64) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64))) #s(literal 1/8 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/46656 binary64) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1296 binary64) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1296 binary64) #s(literal -1/16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) #s(literal 1/4 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64))) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64))) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64))))))
(*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64))) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64))) #s(literal -1/8 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) #s(literal -1/4 binary64)))
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) #s(literal -1/4 binary64)) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) #s(literal -1/4 binary64))) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64))) #s(literal -1/8 binary64)) (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1/46656 binary64) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))) (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1296 binary64) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (-.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))))))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64))) #s(literal -1/8 binary64)) (*.f64 (+.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))) (+.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) #s(literal -1/4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))))) (+.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) #s(literal -1/4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64))) #s(literal 1/8 binary64))) (+.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 6 binary64) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1/6 binary64)))
(neg.f64 (*.f64 x #s(literal -1/6 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/6 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 6 binary64) x)))
(/.f64 x #s(literal 6 binary64))
(/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -6 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -6 binary64) x))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -6 binary64))
(pow.f64 (/.f64 #s(literal 6 binary64) x) #s(literal -1 binary64))
(*.f64 x #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/6 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/6 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/6 binary64)))
(*.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 0 binary64) x))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1/6 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 6 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 6 binary64) x) #s(literal -1/2 binary64)))

simplify200.0ms (3.8%)

Memory
33.1MiB live, 224.8MiB allocated
Algorithm
egg-herbie
Rules
3 802×*-lowering-*.f32
3 802×*-lowering-*.f64
2 892×accelerator-lowering-fma.f32
2 892×accelerator-lowering-fma.f64
1 432×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030502
167502
2143502
3319502
4625502
51000502
62100502
73373502
84091502
95024502
106904502
08027475
Stop Event
iter limit
node limit
Counts
108 → 108
Calls
Call 1
Inputs
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
-9
(- (pow x 4) 9)
(- (pow x 4) 9)
(- (pow x 4) 9)
(pow x 4)
(* (pow x 4) (- 1 (* 9 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1 (* 9 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1 (* 9 (/ 1 (pow x 4)))))
(pow x 4)
(* (pow x 4) (- 1 (* 9 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1 (* 9 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1 (* 9 (/ 1 (pow x 4)))))
18
(+ 18 (* 6 (pow x 2)))
(+ 18 (* 6 (pow x 2)))
(+ 18 (* 6 (pow x 2)))
(* 6 (pow x 2))
(* (pow x 2) (+ 6 (* 18 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 6 (* 18 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 6 (* 18 (/ 1 (pow x 2)))))
(* 6 (pow x 2))
(* (pow x 2) (+ 6 (* 18 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 6 (* 18 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 6 (* 18 (/ 1 (pow x 2)))))
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
Outputs
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
-9
#s(literal -9 binary64)
(- (pow x 4) 9)
(fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -9 binary64))
(- (pow x 4) 9)
(fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -9 binary64))
(- (pow x 4) 9)
(fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -9 binary64))
(pow x 4)
(fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 4) (- 1 (* 9 (/ 1 (pow x 4)))))
(fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -9 binary64))
(* (pow x 4) (- 1 (* 9 (/ 1 (pow x 4)))))
(fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -9 binary64))
(* (pow x 4) (- 1 (* 9 (/ 1 (pow x 4)))))
(fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -9 binary64))
(pow x 4)
(fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 4) (- 1 (* 9 (/ 1 (pow x 4)))))
(fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -9 binary64))
(* (pow x 4) (- 1 (* 9 (/ 1 (pow x 4)))))
(fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -9 binary64))
(* (pow x 4) (- 1 (* 9 (/ 1 (pow x 4)))))
(fma.f64 x (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -9 binary64))
18
#s(literal 18 binary64)
(+ 18 (* 6 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 6 binary64)) #s(literal 18 binary64))
(+ 18 (* 6 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 6 binary64)) #s(literal 18 binary64))
(+ 18 (* 6 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 6 binary64)) #s(literal 18 binary64))
(* 6 (pow x 2))
(*.f64 x (*.f64 x #s(literal 6 binary64)))
(* (pow x 2) (+ 6 (* 18 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 6 binary64)) #s(literal 18 binary64))
(* (pow x 2) (+ 6 (* 18 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 6 binary64)) #s(literal 18 binary64))
(* (pow x 2) (+ 6 (* 18 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 6 binary64)) #s(literal 18 binary64))
(* 6 (pow x 2))
(*.f64 x (*.f64 x #s(literal 6 binary64)))
(* (pow x 2) (+ 6 (* 18 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 6 binary64)) #s(literal 18 binary64))
(* (pow x 2) (+ 6 (* 18 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 6 binary64)) #s(literal 18 binary64))
(* (pow x 2) (+ 6 (* 18 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 6 binary64)) #s(literal 18 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal -1/2 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))
(* 1/6 x)
(fma.f64 #s(literal 1/6 binary64) x #s(literal 0 binary64))

eval82.0ms (1.6%)

Memory
10.6MiB live, 124.9MiB allocated
Compiler

Compiled 20 190 to 1 377 computations (93.2% saved)

prune299.0ms (5.7%)

Memory
-161.7MiB live, 113.9MiB allocated
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New7113714
Fresh000
Picked314
Done134
Total7157722
Accuracy
100.0%
Counts
722 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
99.8%
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
48.3%
(/.f64 x (/.f64 #s(literal 6 binary64) x))
48.3%
(*.f64 (/.f64 x #s(literal 6 binary64)) x)
48.2%
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
48.2%
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
52.9%
#s(literal -1/2 binary64)
Compiler

Compiled 40 to 28 computations (30% saved)

simplify4.0ms (0.1%)

Memory
4.6MiB live, 4.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 6 binary64) x)
cost-diff384
(/.f64 x (/.f64 #s(literal 6 binary64) x))
cost-diff0
(/.f64 x #s(literal 6 binary64))
cost-diff0
(*.f64 (/.f64 x #s(literal 6 binary64)) x)
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
Rules
18×*-lowering-*.f32
18×*-lowering-*.f64
*-commutative
/-lowering-/.f32
/-lowering-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0930
11430
21730
01730
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* (* x x) 1/6)
(* x x)
x
1/6
(* (/ x 6) x)
(/ x 6)
x
6
(/ x (/ 6 x))
x
(/ 6 x)
6
Outputs
(* (* x x) 1/6)
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(* x x)
(*.f64 x x)
x
1/6
#s(literal 1/6 binary64)
(* (/ x 6) x)
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(/ x 6)
(/.f64 x #s(literal 6 binary64))
x
6
#s(literal 6 binary64)
(/ x (/ 6 x))
(/.f64 (*.f64 x x) #s(literal 6 binary64))
x
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
6
#s(literal 6 binary64)

localize32.0ms (0.6%)

Memory
-0.8MiB live, 37.7MiB allocated
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 #s(literal 6 binary64) x)
accuracy99.8%
(/.f64 x (/.f64 #s(literal 6 binary64) x))
accuracy100.0%
(/.f64 x #s(literal 6 binary64))
accuracy99.8%
(*.f64 (/.f64 x #s(literal 6 binary64)) x)
accuracy100.0%
(*.f64 x x)
accuracy99.6%
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
Samples
22.0ms256×0valid
Compiler

Compiled 32 to 11 computations (65.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-div: 5.0ms (37.7% of total)
ival-mult: 5.0ms (37.7% of total)
const: 3.0ms (22.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated
Counts
6 → 72
Calls
Call 1
Inputs
#<alt (* (* x x) 1/6)>
#<alt (* x x)>
#<alt (* (/ x 6) x)>
#<alt (/ x 6)>
#<alt (/ x (/ 6 x))>
#<alt (/ 6 x)>
Outputs
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (/ 6 x)>
#<alt (/ 6 x)>
#<alt (/ 6 x)>
#<alt (/ 6 x)>
#<alt (/ 6 x)>
#<alt (/ 6 x)>
#<alt (/ 6 x)>
#<alt (/ 6 x)>
#<alt (/ 6 x)>
#<alt (/ 6 x)>
#<alt (/ 6 x)>
#<alt (/ 6 x)>
Calls

18 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/ 6 x)
0.0ms
x
@inf
(/ 6 x)
0.0ms
x
@-inf
(/ 6 x)
0.0ms
x
@0
(/ x (/ 6 x))
0.0ms
x
@inf
(/ x (/ 6 x))

rewrite127.0ms (2.4%)

Memory
-22.0MiB live, 126.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
1 344×*-lowering-*.f32
1 344×*-lowering-*.f64
1 000×/-lowering-/.f32
1 000×/-lowering-/.f64
574×frac-times
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0924
13024
212624
357024
0286624
Stop Event
iter limit
iter limit
node limit
Counts
6 → 545
Calls
Call 1
Inputs
(* (* x x) 1/6)
(* x x)
(* (/ x 6) x)
(/ x 6)
(/ x (/ 6 x))
(/ 6 x)
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/6 binary64)))
(+.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/6 binary64)))
(exp.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/6 binary64))))))
(exp.f64 (+.f64 (log.f64 x) (log.f64 (*.f64 x #s(literal 1/6 binary64)))))
(exp.f64 (+.f64 (log.f64 (*.f64 x #s(literal 1/6 binary64))) (log.f64 x)))
(exp.f64 (-.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x #s(literal 1/6 binary64))))))
(exp.f64 (-.f64 (log.f64 (*.f64 x #s(literal 1/6 binary64))) (*.f64 #s(literal -1 binary64) (log.f64 x))))
(-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x #s(literal -1/6 binary64))))
(fma.f64 (*.f64 x #s(literal -1/6 binary64)) #s(literal 0 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/6 binary64)))
(neg.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))))
(/.f64 x (/.f64 #s(literal 6 binary64) x))
(/.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 6 binary64))
(/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 6 binary64) x) x))
(/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (/.f64 #s(literal 6 binary64) x)))
(/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/6 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) x))
(/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/6 binary64)) (*.f64 x (/.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -6 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -6 binary64) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal -6 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal -6 binary64) x) x))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (/.f64 #s(literal -6 binary64) x)))
(/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) x) x))
(/.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) (*.f64 x (/.f64 #s(literal -1 binary64) x)))
(/.f64 (*.f64 x #s(literal -1/6 binary64)) (/.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (*.f64 (/.f64 #s(literal -6 binary64) x) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -6 binary64) (fma.f64 x x #s(literal 0 binary64)))) (/.f64 #s(literal -6 binary64) x)) (*.f64 (/.f64 #s(literal -6 binary64) x) (/.f64 #s(literal -6 binary64) (fma.f64 x x #s(literal 0 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) (*.f64 #s(literal 6 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -6 binary64) x) x)) (/.f64 #s(literal 36 binary64) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -6 binary64) x) (*.f64 x #s(literal 1/6 binary64)))) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -6 binary64) x) (-.f64 #s(literal 0 binary64) x))) (*.f64 (/.f64 #s(literal -6 binary64) x) (/.f64 #s(literal 6 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -6 binary64) x) (*.f64 x #s(literal -1/6 binary64)))) (/.f64 #s(literal -6 binary64) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -6 binary64) x) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))) (*.f64 (/.f64 #s(literal -6 binary64) x) #s(literal 6 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal -6 binary64) x) (fma.f64 x x #s(literal 0 binary64)))) (*.f64 (/.f64 #s(literal -6 binary64) x) #s(literal -6 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) (*.f64 #s(literal -6 binary64) x))
(/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 #s(literal -6 binary64) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 (/.f64 #s(literal -6 binary64) x) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) x) (*.f64 x #s(literal -6 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) x)) (*.f64 x #s(literal 6 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) x) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -6 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) x)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 6 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal -6 binary64) x)))
(/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) x))
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(*.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) x) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 x (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (*.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (*.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (/.f64 x (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (/.f64 (sqrt.f64 x) (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (*.f64 (sqrt.f64 x) (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 x) (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)) (*.f64 (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 x)))
(*.f64 (*.f64 x (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 216 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))) (/.f64 #s(literal 36 binary64) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 36 binary64) (fma.f64 x x #s(literal 0 binary64))))) (/.f64 #s(literal 6 binary64) x))
(+.f64 (/.f64 #s(literal 6 binary64) x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 6 binary64) x))
(exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x #s(literal 1/6 binary64)))))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x #s(literal 1/6 binary64)))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -6 binary64) x))
(fma.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 #s(literal 6 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 6 binary64) x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -6 binary64) x) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -6 binary64) (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(fma.f64 #s(literal -6 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) x) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal 0 binary64))) x #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 6 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -6 binary64) x) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -6 binary64) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/6 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 6 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 6 binary64) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) #s(literal -6 binary64) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -6 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(neg.f64 (/.f64 #s(literal -6 binary64) x))
(/.f64 #s(literal 6 binary64) x)
(/.f64 (/.f64 #s(literal 6 binary64) x) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal -6 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal -6 binary64) (-.f64 #s(literal 0 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/6 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/6 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/6 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 216 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 36 binary64) (fma.f64 x x #s(literal 0 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 216 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 36 binary64) (fma.f64 x x #s(literal 0 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 36 binary64) (fma.f64 x x #s(literal 0 binary64)))) (/.f64 #s(literal -6 binary64) x))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 216 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))) (/.f64 #s(literal 36 binary64) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 36 binary64) (fma.f64 x x #s(literal 0 binary64))))) (/.f64 #s(literal 6 binary64) x))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 216 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))) (/.f64 #s(literal 36 binary64) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 36 binary64) (fma.f64 x x #s(literal 0 binary64))))) (/.f64 #s(literal 6 binary64) x))
(/.f64 (/.f64 #s(literal 6 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 216 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (+.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 36 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -6 binary64) x) #s(literal 3 binary64))) (/.f64 #s(literal 36 binary64) (fma.f64 x x #s(literal 0 binary64))))
(pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 6 binary64) x) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x #s(literal 1/6 binary64))) #s(literal -1/2 binary64))
(*.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 6 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 6 binary64) x) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal -6 binary64) x) #s(literal -1 binary64))
(*.f64 #s(literal -6 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -6 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) x))
(*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal 0 binary64))) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 6 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -6 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -6 binary64))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 6 binary64)))
(*.f64 (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 6 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) #s(literal -6 binary64))
(*.f64 (pow.f64 (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 6 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -6 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (fma.f64 x x #s(literal 0 binary64)))

simplify11.0ms (0.2%)

Memory
28.8MiB live, 28.8MiB allocated
Algorithm
egg-herbie
Rules
14×*-lowering-*.f32
14×*-lowering-*.f64
*-commutative
pow-lowering-pow.f64
pow-lowering-pow.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08288
111288
213288
013288
Stop Event
iter limit
saturated
Counts
72 → 72
Calls
Call 1
Inputs
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(/ 6 x)
(/ 6 x)
(/ 6 x)
(/ 6 x)
(/ 6 x)
(/ 6 x)
(/ 6 x)
(/ 6 x)
(/ 6 x)
(/ 6 x)
(/ 6 x)
(/ 6 x)
Outputs
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.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)
(pow x 2)
(*.f64 x x)
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)

eval78.0ms (1.5%)

Memory
-8.0MiB live, 113.0MiB allocated
Compiler

Compiled 7 065 to 725 computations (89.7% saved)

prune42.0ms (0.8%)

Memory
1.2MiB live, 76.2MiB allocated
Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New6170617
Fresh000
Picked033
Done044
Total6177624
Accuracy
100.0%
Counts
624 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
99.8%
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
48.3%
(/.f64 x (/.f64 #s(literal 6 binary64) x))
48.3%
(*.f64 (/.f64 x #s(literal 6 binary64)) x)
48.2%
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
48.2%
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
52.9%
#s(literal -1/2 binary64)
Compiler

Compiled 121 to 60 computations (50.4% saved)

regimes20.0ms (0.4%)

Memory
-12.0MiB live, 25.7MiB allocated
Counts
13 → 1
Calls
Call 1
Inputs
#s(literal -1/2 binary64)
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(*.f64 (/.f64 x #s(literal 6 binary64)) x)
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(/.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 6 binary64))
(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
(/.f64 x (/.f64 #s(literal 6 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))))
(/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal 18 binary64)))
Outputs
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
Calls

4 calls:

5.0ms
x
4.0ms
(*.f64 x x)
4.0ms
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
4.0ms
(-.f64 (*.f64 x x) #s(literal 3 binary64))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
99.9%1(-.f64 (*.f64 x x) #s(literal 3 binary64))
99.9%1(*.f64 x x)
Compiler

Compiled 20 to 13 computations (35% saved)

regimes13.0ms (0.2%)

Memory
20.4MiB live, 20.4MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
#s(literal -1/2 binary64)
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(*.f64 (/.f64 x #s(literal 6 binary64)) x)
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(/.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 6 binary64))
(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
Outputs
(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
Calls

4 calls:

3.0ms
x
3.0ms
(*.f64 x x)
3.0ms
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
3.0ms
(-.f64 (*.f64 x x) #s(literal 3 binary64))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
99.9%1(-.f64 (*.f64 x x) #s(literal 3 binary64))
99.9%1(*.f64 x x)
Compiler

Compiled 20 to 13 computations (35% saved)

regimes12.0ms (0.2%)

Memory
18.9MiB live, 18.9MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(literal -1/2 binary64)
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(*.f64 (/.f64 x #s(literal 6 binary64)) x)
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(/.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 6 binary64))
Outputs
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
Calls

4 calls:

3.0ms
x
3.0ms
(*.f64 x x)
3.0ms
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
3.0ms
(-.f64 (*.f64 x x) #s(literal 3 binary64))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
99.9%1(-.f64 (*.f64 x x) #s(literal 3 binary64))
99.9%1(*.f64 x x)
Compiler

Compiled 20 to 13 computations (35% saved)

regimes12.0ms (0.2%)

Memory
-32.9MiB live, 13.8MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(literal -1/2 binary64)
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
Outputs
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
Calls

4 calls:

6.0ms
(*.f64 x x)
2.0ms
x
2.0ms
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
2.0ms
(-.f64 (*.f64 x x) #s(literal 3 binary64))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
99.8%1(-.f64 (*.f64 x x) #s(literal 3 binary64))
99.8%1(*.f64 x x)
Compiler

Compiled 20 to 13 computations (35% saved)

regimes7.0ms (0.1%)

Memory
12.5MiB live, 12.5MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(literal -1/2 binary64)
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
Outputs
#s(literal -1/2 binary64)
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
Calls

4 calls:

2.0ms
x
2.0ms
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
2.0ms
(*.f64 x x)
1.0ms
(-.f64 (*.f64 x x) #s(literal 3 binary64))
Results
AccuracySegmentsBranch
99.3%2x
99.3%2(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
99.3%2(-.f64 (*.f64 x x) #s(literal 3 binary64))
99.3%2(*.f64 x x)
Compiler

Compiled 20 to 13 computations (35% saved)

regimes6.0ms (0.1%)

Memory
10.8MiB live, 10.8MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(literal -1/2 binary64)
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
Outputs
#s(literal -1/2 binary64)
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
Calls

4 calls:

1.0ms
x
1.0ms
(*.f64 x x)
1.0ms
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
1.0ms
(-.f64 (*.f64 x x) #s(literal 3 binary64))
Results
AccuracySegmentsBranch
99.3%2x
99.3%2(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
99.3%2(-.f64 (*.f64 x x) #s(literal 3 binary64))
99.3%2(*.f64 x x)
Compiler

Compiled 20 to 13 computations (35% saved)

regimes8.0ms (0.2%)

Memory
-28.4MiB live, 9.7MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal -1/2 binary64)
Outputs
#s(literal -1/2 binary64)
Calls

4 calls:

5.0ms
(-.f64 (*.f64 x x) #s(literal 3 binary64))
1.0ms
x
1.0ms
(*.f64 x x)
1.0ms
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
Results
AccuracySegmentsBranch
52.9%1x
52.9%1(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
52.9%1(-.f64 (*.f64 x x) #s(literal 3 binary64))
52.9%1(*.f64 x x)
Compiler

Compiled 20 to 13 computations (35% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0005386718008097675
1255553418.327411
Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0005386718008097675
1255553418.327411
Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify8.0ms (0.1%)

Memory
11.8MiB live, 11.8MiB allocated
Algorithm
egg-herbie
Rules
*-commutative_binary64
+-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01950
12450
22950
33150
43250
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(if (<=.f64 (*.f64 x x) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(if (<=.f64 (*.f64 x x) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(literal -1/2 binary64) (*.f64 (*.f64 x #s(literal 1/6 binary64)) x))
#s(literal -1/2 binary64)
Outputs
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(if (<=.f64 (*.f64 x x) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(if (<=.f64 (*.f64 x x) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(literal -1/2 binary64) (*.f64 (*.f64 x #s(literal 1/6 binary64)) x))
(if (<=.f64 (*.f64 x x) #s(literal 1152921504606847/1152921504606846976 binary64)) #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
#s(literal -1/2 binary64)

soundness1.0s (20%)

Memory
-5.5MiB live, 494.7MiB allocated
Rules
8 460×accelerator-lowering-fma.f32
8 460×accelerator-lowering-fma.f64
5 520×accelerator-lowering-fma.f32
5 520×accelerator-lowering-fma.f64
5 232×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019162
143162
298162
3235162
4748162
51583162
62320162
73495162
84221162
95328162
106382162
117111162
08024144
01847
110747
272347
3763247
0880442
0615
13915
222715
3183215
0868513
01855
19751
269351
0861848
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 117 to 67 computations (42.7% saved)

preprocess41.0ms (0.8%)

Memory
9.3MiB live, 86.7MiB allocated
Remove

(abs x)

Compiler

Compiled 150 to 74 computations (50.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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