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

Time bar (total: 5.7s)

analyze0.0ms (0%)

Memory
0.8MiB live, 0.8MiB 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)

sample533.0ms (9.4%)

Memory
12.6MiB live, 847.1MiB allocated
Samples
353.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 196.0ms
ival-mult: 77.0ms (39.4% of total)
ival-div: 64.0ms (32.7% of total)
ival-sub: 37.0ms (18.9% of total)
exact: 8.0ms (4.1% of total)
ival-true: 6.0ms (3.1% of total)
ival-assert: 3.0ms (1.5% of total)
Bogosity

preprocess20.0ms (0.3%)

Memory
-7.8MiB live, 30.4MiB 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)

explain67.0ms (1.2%)

Memory
-12.5MiB live, 118.8MiB 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: 14.0ms
ival-mult: 7.0ms (49.4% of total)
ival-div: 4.0ms (28.2% of total)
ival-sub: 2.0ms (14.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.3MiB live, 1.3MiB 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)

simplify4.0ms (0.1%)

Memory
5.2MiB live, 5.2MiB 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 (0.3%)

Memory
-6.6MiB live, 32.3MiB 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
11.0ms256×0valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 2.0ms (37.9% of total)
ival-mult: 2.0ms (37.9% of total)
ival-sub: 1.0ms (19% 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
3.5MiB live, 3.5MiB 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)

rewrite341.0ms (6%)

Memory
20.5MiB live, 488.7MiB 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 x (neg.f64 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 (neg.f64 (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 (neg.f64 (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 (neg.f64 (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 (neg.f64 (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 (neg.f64 (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 (fma.f64 x (neg.f64 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 (*.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)))))
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(*.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)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (neg.f64 x)) #s(literal 27 binary64)))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) (neg.f64 (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)) (neg.f64 (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)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (neg.f64 x)) #s(literal 27 binary64)))) (/.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64))) (neg.f64 (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)) (neg.f64 (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))) (fma.f64 x (neg.f64 x) #s(literal -3 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (neg.f64 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 (neg.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)) (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 (neg.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)) (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 (neg.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)) (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 (neg.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)) #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 (neg.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)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (neg.f64 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 (neg.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)) (neg.f64 (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)

simplify235.0ms (4.1%)

Memory
-30.2MiB live, 155.0MiB 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)
(*.f64 x x)
(* (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)
(*.f64 x x)
(* (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 (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)

eval103.0ms (1.8%)

Memory
0.4MiB live, 114.5MiB allocated
Compiler

Compiled 23 870 to 1 644 computations (93.1% saved)

prune104.0ms (1.8%)

Memory
-5.7MiB live, 119.0MiB allocated
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New5439552
Fresh000
Picked101
Done000
Total5449553
Accuracy
100.0%
Counts
553 → 9
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))
58.3%
(/.f64 (fma.f64 (*.f64 x (*.f64 x (*.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)))
55.5%
(/.f64 (*.f64 x x) #s(literal 6 binary64))
58.3%
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64))) (*.f64 #s(literal -6 binary64) (fma.f64 x x #s(literal 3 binary64))))
99.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))))
55.6%
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
58.3%
(*.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))))
45.5%
#s(literal -1/2 binary64)
Compiler

Compiled 180 to 120 computations (33.3% saved)

simplify14.0ms (0.3%)

Memory
15.8MiB live, 15.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64))
cost-diff0
(*.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)))
cost-diff320
(*.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))))
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))))
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
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
Rules
328×*-lowering-*.f32
328×*-lowering-*.f64
164×associate-*r*
138×accelerator-lowering-fma.f32
138×accelerator-lowering-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023109
153101
29295
318795
435395
542695
642795
042785
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ (* (* x x) 1/6) -1/2)
(* x x)
x
1/6
-1/2
-1/2
(+ (* (* x 1/6) x) -1/2)
(* x 1/6)
x
1/6
-1/2
(/ 1 (/ 6 (+ (* x x) -3)))
1
(/ 6 (+ (* x x) -3))
6
(+ (* x x) -3)
x
-3
(* (* 1/6 (+ (* (* x x) (* x x)) -9)) (/ 1 (+ (* x x) 3)))
(* 1/6 (+ (* (* x x) (* x x)) -9))
1/6
(+ (* (* x x) (* x x)) -9)
(* x x)
x
-9
(/ 1 (+ (* x x) 3))
1
(+ (* x x) 3)
3
Outputs
(+ (* (* x x) 1/6) -1/2)
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(* x x)
(*.f64 x x)
x
1/6
#s(literal 1/6 binary64)
-1/2
#s(literal -1/2 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)
(/ 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)
(* (* 1/6 (+ (* (* x x) (* x x)) -9)) (/ 1 (+ (* x x) 3)))
(/.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) #s(literal -3/2 binary64)) (fma.f64 x x #s(literal 3 binary64)))
(* 1/6 (+ (* (* x x) (* x x)) -9))
(fma.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) #s(literal -3/2 binary64))
1/6
#s(literal 1/6 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)
(/ 1 (+ (* x x) 3))
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 3 binary64)))
1
#s(literal 1 binary64)
(+ (* x x) 3)
(fma.f64 x x #s(literal 3 binary64))
3
#s(literal 3 binary64)

localize91.0ms (1.6%)

Memory
-2.1MiB live, 74.8MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(*.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)))
accuracy99.9%
(fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64))
accuracy99.1%
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 3 binary64)))
accuracy65.4%
(*.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))))
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))))
accuracy99.1%
(/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64)))
accuracy99.9%
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
accuracy99.4%
(*.f64 x #s(literal 1/6 binary64))
accuracy100.0%
(*.f64 x x)
accuracy99.9%
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
Samples
39.0ms256×0valid
Compiler

Compiled 102 to 25 computations (75.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 10.0ms (37.8% of total)
ival-add: 7.0ms (26.5% of total)
ival-div: 5.0ms (18.9% of total)
const: 4.0ms (15.1% of total)
exact: 1.0ms (3.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
6.1MiB live, 6.1MiB allocated
Counts
11 → 132
Calls
Call 1
Inputs
#<alt (+ (* (* x x) 1/6) -1/2)>
#<alt (* x x)>
#<alt (+ (* (* x 1/6) x) -1/2)>
#<alt (* x 1/6)>
#<alt (/ 1 (/ 6 (+ (* x x) -3)))>
#<alt (/ 6 (+ (* x x) -3))>
#<alt (+ (* x x) -3)>
#<alt (* (* 1/6 (+ (* (* x x) (* x x)) -9)) (/ 1 (+ (* x x) 3)))>
#<alt (* 1/6 (+ (* (* x x) (* x x)) -9))>
#<alt (+ (* (* x x) (* x x)) -9)>
#<alt (/ 1 (+ (* x x) 3))>
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 (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 (* 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 -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 -3/2>
#<alt (- (* 1/6 (pow x 4)) 3/2)>
#<alt (- (* 1/6 (pow x 4)) 3/2)>
#<alt (- (* 1/6 (pow x 4)) 3/2)>
#<alt (* 1/6 (pow x 4))>
#<alt (* (pow x 4) (- 1/6 (* 3/2 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 1/6 (* 3/2 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 1/6 (* 3/2 (/ 1 (pow x 4)))))>
#<alt (* 1/6 (pow x 4))>
#<alt (* (pow x 4) (- 1/6 (* 3/2 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 1/6 (* 3/2 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 1/6 (* 3/2 (/ 1 (pow x 4)))))>
#<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 1/3>
#<alt (+ 1/3 (* -1/9 (pow x 2)))>
#<alt (+ 1/3 (* (pow x 2) (- (* 1/27 (pow x 2)) 1/9)))>
#<alt (+ 1/3 (* (pow x 2) (- (* (pow x 2) (+ 1/27 (* -1/81 (pow x 2)))) 1/9)))>
#<alt (/ 1 (pow x 2))>
#<alt (/ (- 1 (* 3 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 1 (/ 9 (pow x 4))) (* 3 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 1 (/ 9 (pow x 4))) (+ (* 3 (/ 1 (pow x 2))) (* 27 (/ 1 (pow x 6))))) (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ (- 1 (* 3 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 1 (/ 9 (pow x 4))) (* 3 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ 1 (/ 9 (pow x 4))) (+ (* 3 (/ 1 (pow x 2))) (* 27 (/ 1 (pow x 6))))) (pow x 2))>
Calls

33 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(* (* 1/6 (+ (* (* x x) (* x x)) -9)) (/ 1 (+ (* x x) 3)))
0.0ms
x
@0
(* x 1/6)
0.0ms
x
@0
(* (* 1/6 (+ (* (* x x) (* x x)) -9)) (/ 1 (+ (* x x) 3)))
0.0ms
x
@inf
(* 1/6 (+ (* (* x x) (* x x)) -9))
0.0ms
x
@inf
(* x 1/6)

rewrite600.0ms (10.5%)

Memory
6.5MiB live, 665.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 358×accelerator-lowering-fma.f32
6 358×accelerator-lowering-fma.f64
5 180×*-lowering-*.f32
5 180×*-lowering-*.f64
3 780×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02369
114365
285465
0828657
Stop Event
iter limit
node limit
Counts
11 → 2 330
Calls
Call 1
Inputs
(+ (* (* x x) 1/6) -1/2)
(* x x)
(+ (* (* x 1/6) x) -1/2)
(* x 1/6)
(/ 1 (/ 6 (+ (* x x) -3)))
(/ 6 (+ (* x x) -3))
(+ (* x x) -3)
(* (* 1/6 (+ (* (* x x) (* x x)) -9)) (/ 1 (+ (* x x) 3)))
(* 1/6 (+ (* (* x x) (* x x)) -9))
(+ (* (* x x) (* x x)) -9)
(/ 1 (+ (* x x) 3))
Outputs
(+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) (neg.f64 (*.f64 x x))))
(+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/6 binary64)))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(+.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/36 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
(+.f64 (/.f64 #s(literal -3/2 binary64) (fma.f64 x x #s(literal 3 binary64))) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (fma.f64 x x #s(literal 3 binary64))))
(+.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (fma.f64 x x #s(literal 3 binary64))) (/.f64 #s(literal -3/2 binary64) (fma.f64 x x #s(literal 3 binary64))))
(+.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (fma.f64 x x #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 3 binary64))) #s(literal -9 binary64)))
(+.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (fma.f64 x x #s(literal 3 binary64))) (*.f64 #s(literal -9 binary64) (/.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 3 binary64)))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) #s(literal -1/2 binary64))
(+.f64 (*.f64 (/.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 3 binary64))) #s(literal -9 binary64)) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (fma.f64 x x #s(literal 3 binary64))))
(+.f64 (*.f64 #s(literal -1/6 binary64) (neg.f64 (*.f64 x x))) #s(literal -1/2 binary64))
(+.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) #s(literal -3/2 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 27 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) #s(literal -3/2 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 27 binary64))) (fma.f64 (*.f64 x x) #s(literal -3 binary64) #s(literal 9 binary64))))
(+.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) #s(literal -3/2 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 27 binary64))) (fma.f64 (*.f64 x x) #s(literal -3 binary64) #s(literal 9 binary64))) (*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) #s(literal -3/2 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 27 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
(+.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) #s(literal -3/2 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -9 binary64))) (*.f64 x x)) (*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) #s(literal -3/2 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -9 binary64))) #s(literal -3 binary64)))
(+.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) #s(literal -3/2 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -9 binary64))) #s(literal -3 binary64)) (*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) #s(literal -3/2 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -9 binary64))) (*.f64 x x)))
(+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(+.f64 (*.f64 #s(literal -9 binary64) (/.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 3 binary64)))) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) (fma.f64 x x #s(literal 3 binary64))))
(+.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))
(+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) #s(literal -3/2 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 27 binary64)))) (*.f64 (fma.f64 (*.f64 x x) #s(literal -3 binary64) #s(literal 9 binary64)) (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) #s(literal -3/2 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 27 binary64)))))
(+.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -3 binary64) #s(literal 9 binary64)) (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) #s(literal -3/2 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 27 binary64)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) #s(literal -3/2 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 27 binary64)))))
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(*.f64 (fma.f64 x x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -9 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 3 binary64))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 3 binary64))) (/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -9 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -9 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 3 binary64))))
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -3 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 27 binary64))))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -27 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64))) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -9 binary64))))
(*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -9 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 3 binary64))) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -9 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 (pow.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 3 binary64))) #s(literal -1 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 (*.f64 x x) (fma.f64 x x #s(literal -3 binary64)) #s(literal 9 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 27 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -3 binary64)) #s(literal 9 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -9 binary64)) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal -729 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 9 binary64)) #s(literal 81 binary64)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -9 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -81 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 9 binary64)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 3 binary64))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal -729 binary64))) (/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 9 binary64)) #s(literal 81 binary64)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -81 binary64))) (/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 9 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -27 binary64)) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal -729 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 9 binary64)) #s(literal 81 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -27 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -81 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 9 binary64)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -9 binary64))) (fma.f64 x (*.f64 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) (pow.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal -1/2 binary64))) (pow.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 3 binary64)))) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -9 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -9 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 27 binary64))) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -3 binary64)) #s(literal 9 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -9 binary64))) (-.f64 #s(literal 3 binary64) (*.f64 x x)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -3 binary64)) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal -729 binary64))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 9 binary64)) #s(literal 81 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -3 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -81 binary64))) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 9 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 27 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -3 binary64)) #s(literal 9 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (neg.f64 x) #s(literal 9 binary64))) (-.f64 #s(literal 3 binary64) (*.f64 x x)))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -3 binary64)) #s(literal 9 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 19683 binary64))) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 729 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) #s(literal 27 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -3 binary64)) #s(literal 9 binary64)) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal -729 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -27 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -3 binary64)) (neg.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal -729 binary64)))) (neg.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 9 binary64)) #s(literal 81 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -3 binary64)) (neg.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -81 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (neg.f64 x) #s(literal -9 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -3 binary64)) (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (-.f64 #s(literal -9 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))

simplify379.0ms (6.7%)

Memory
-216.4MiB live, 480.2MiB allocated
Algorithm
egg-herbie
Rules
6 592×accelerator-lowering-fma.f32
6 592×accelerator-lowering-fma.f64
3 140×*-lowering-*.f32
3 140×*-lowering-*.f64
1 400×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0100850
1216850
2494850
31114850
43277850
56646850
08173784
Stop Event
iter limit
node limit
Counts
132 → 132
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)))))
(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)))))
(* 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)))))
-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)))))
-3/2
(- (* 1/6 (pow x 4)) 3/2)
(- (* 1/6 (pow x 4)) 3/2)
(- (* 1/6 (pow x 4)) 3/2)
(* 1/6 (pow x 4))
(* (pow x 4) (- 1/6 (* 3/2 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/6 (* 3/2 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/6 (* 3/2 (/ 1 (pow x 4)))))
(* 1/6 (pow x 4))
(* (pow x 4) (- 1/6 (* 3/2 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/6 (* 3/2 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/6 (* 3/2 (/ 1 (pow x 4)))))
-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)))))
1/3
(+ 1/3 (* -1/9 (pow x 2)))
(+ 1/3 (* (pow x 2) (- (* 1/27 (pow x 2)) 1/9)))
(+ 1/3 (* (pow x 2) (- (* (pow x 2) (+ 1/27 (* -1/81 (pow x 2)))) 1/9)))
(/ 1 (pow x 2))
(/ (- 1 (* 3 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 1 (/ 9 (pow x 4))) (* 3 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 1 (/ 9 (pow x 4))) (+ (* 3 (/ 1 (pow x 2))) (* 27 (/ 1 (pow x 6))))) (pow x 2))
(/ 1 (pow x 2))
(/ (- 1 (* 3 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 1 (/ 9 (pow x 4))) (* 3 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 1 (/ 9 (pow x 4))) (+ (* 3 (/ 1 (pow x 2))) (* 27 (/ 1 (pow x 6))))) (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) (*.f64 x x) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* 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)
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
-2
#s(literal -2 binary64)
(- (* -2/3 (pow x 2)) 2)
(fma.f64 x (*.f64 x #s(literal -2/3 binary64)) #s(literal -2 binary64))
(- (* (pow x 2) (- (* -2/9 (pow x 2)) 2/3)) 2)
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #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 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -2/27 binary64) #s(literal -2/9 binary64))) #s(literal -2/3 binary64)) #s(literal -2 binary64))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ (+ 6 (* 18 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) (*.f64 x x))) (*.f64 x x))
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (/ 54 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) (/.f64 #s(literal 54 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x))
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (+ (* 162 (/ 1 (pow x 6))) (/ 54 (pow x 4))))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 54 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 162 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ (+ 6 (* 18 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) (*.f64 x x))) (*.f64 x x))
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (/ 54 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) (/.f64 #s(literal 54 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x))
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (+ (* 162 (/ 1 (pow x 6))) (/ 54 (pow x 4))))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 54 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 162 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 x x))
-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)
(*.f64 x x)
(* (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)
(*.f64 x x)
(* (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) (*.f64 x x) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
-3/2
#s(literal -3/2 binary64)
(- (* 1/6 (pow x 4)) 3/2)
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -3/2 binary64))
(- (* 1/6 (pow x 4)) 3/2)
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -3/2 binary64))
(- (* 1/6 (pow x 4)) 3/2)
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -3/2 binary64))
(* 1/6 (pow x 4))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- 1/6 (* 3/2 (/ 1 (pow x 4)))))
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -3/2 binary64))
(* (pow x 4) (- 1/6 (* 3/2 (/ 1 (pow x 4)))))
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -3/2 binary64))
(* (pow x 4) (- 1/6 (* 3/2 (/ 1 (pow x 4)))))
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -3/2 binary64))
(* 1/6 (pow x 4))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- 1/6 (* 3/2 (/ 1 (pow x 4)))))
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -3/2 binary64))
(* (pow x 4) (- 1/6 (* 3/2 (/ 1 (pow x 4)))))
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -3/2 binary64))
(* (pow x 4) (- 1/6 (* 3/2 (/ 1 (pow x 4)))))
(fma.f64 (*.f64 x x) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -3/2 binary64))
-9
#s(literal -9 binary64)
(- (pow x 4) 9)
(fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -9 binary64))
(- (pow x 4) 9)
(fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -9 binary64))
(- (pow x 4) 9)
(fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -9 binary64))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(* (pow x 4) (- 1 (* 9 (/ 1 (pow x 4)))))
(fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -9 binary64))
(* (pow x 4) (- 1 (* 9 (/ 1 (pow x 4)))))
(fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -9 binary64))
(* (pow x 4) (- 1 (* 9 (/ 1 (pow x 4)))))
(fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -9 binary64))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(* (pow x 4) (- 1 (* 9 (/ 1 (pow x 4)))))
(fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -9 binary64))
(* (pow x 4) (- 1 (* 9 (/ 1 (pow x 4)))))
(fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -9 binary64))
(* (pow x 4) (- 1 (* 9 (/ 1 (pow x 4)))))
(fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -9 binary64))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* -1/9 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/9 binary64)) #s(literal 1/3 binary64))
(+ 1/3 (* (pow x 2) (- (* 1/27 (pow x 2)) 1/9)))
(fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal 1/27 binary64) #s(literal -1/9 binary64))) #s(literal 1/3 binary64))
(+ 1/3 (* (pow x 2) (- (* (pow x 2) (+ 1/27 (* -1/81 (pow x 2)))) 1/9)))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/81 binary64)) #s(literal 1/27 binary64)) #s(literal -1/9 binary64)) #s(literal 1/3 binary64))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (- 1 (* 3 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (+ 1 (/ 9 (pow x 4))) (* 3 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -3 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (+ 1 (/ 9 (pow x 4))) (+ (* 3 (/ 1 (pow x 2))) (* 27 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 (/.f64 #s(literal -3 binary64) (*.f64 x x)) (/.f64 #s(literal -27 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (- 1 (* 3 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (+ 1 (/ 9 (pow x 4))) (* 3 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -3 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (+ 1 (/ 9 (pow x 4))) (+ (* 3 (/ 1 (pow x 2))) (* 27 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 (/.f64 #s(literal -3 binary64) (*.f64 x x)) (/.f64 #s(literal -27 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 x x))

eval546.0ms (9.6%)

Memory
44.4MiB live, 749.1MiB allocated
Compiler

Compiled 78 041 to 2 994 computations (96.2% saved)

prune145.0ms (2.5%)

Memory
-23.6MiB live, 398.7MiB allocated
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New2 49752 502
Fresh224
Picked235
Done000
Total2 501102 511
Accuracy
100.0%
Counts
2 511 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.3%
(fma.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #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))
58.3%
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (neg.f64 x) #s(literal 9 binary64)) (*.f64 #s(literal -6 binary64) (fma.f64 x x #s(literal 3 binary64))))
58.4%
(/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) #s(literal -3/2 binary64)) (fma.f64 x x #s(literal 3 binary64)))
55.5%
(/.f64 (*.f64 x x) #s(literal 6 binary64))
55.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
99.8%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64)))
55.6%
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
45.5%
#s(literal -1/2 binary64)
Compiler

Compiled 196 to 122 computations (37.8% saved)

simplify11.0ms (0.2%)

Memory
-20.5MiB live, 20.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
cost-diff0
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
cost-diff0
(fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) #s(literal -3/2 binary64))
cost-diff0
(/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) #s(literal -3/2 binary64)) (fma.f64 x x #s(literal 3 binary64)))
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 #s(literal 6 binary64) (*.f64 x x))
cost-diff1088
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
cost-diff0
(*.f64 x x)
cost-diff384
(/.f64 (*.f64 x x) #s(literal 6 binary64))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
cost-diff0
(fma.f64 x x #s(literal -3 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64)))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
cost-diff1088
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64)))
Rules
108×*-lowering-*.f32
108×*-lowering-*.f64
60×associate-*r*
54×/-lowering-/.f32
54×/-lowering-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021120
144112
276112
3112108
4160108
5163108
0163100
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ 1 (* (/ 1 (+ (* x x) -3)) 6))
1
(* (/ 1 (+ (* x x) -3)) 6)
(/ 1 (+ (* x x) -3))
(+ (* x x) -3)
x
-3
6
(* (* x x) 1/6)
(* x x)
x
1/6
(/ (* x x) 6)
(* x x)
x
6
(/ 1 (/ 6 (* x x)))
1
(/ 6 (* x x))
6
(* x x)
x
(/ (+ (* x (* x (* (* x x) 1/6))) -3/2) (+ (* x x) 3))
(+ (* x (* x (* (* x x) 1/6))) -3/2)
x
(* x (* (* x x) 1/6))
(* (* x x) 1/6)
(* x x)
1/6
-3/2
(+ (* x x) 3)
3
Outputs
(/ 1 (* (/ 1 (+ (* x x) -3)) 6))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
1
#s(literal 1 binary64)
(* (/ 1 (+ (* x x) -3)) 6)
(/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64)))
(/ 1 (+ (* x x) -3))
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64)))
(+ (* x x) -3)
(fma.f64 x x #s(literal -3 binary64))
x
-3
#s(literal -3 binary64)
6
#s(literal 6 binary64)
(* (* x x) 1/6)
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* x x)
(*.f64 x x)
x
1/6
#s(literal 1/6 binary64)
(/ (* x x) 6)
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* x x)
(*.f64 x x)
x
6
#s(literal 6 binary64)
(/ 1 (/ 6 (* x x)))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
1
#s(literal 1 binary64)
(/ 6 (* x x))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
6
#s(literal 6 binary64)
(* x x)
(*.f64 x x)
x
(/ (+ (* x (* x (* (* x x) 1/6))) -3/2) (+ (* x x) 3))
(/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -3/2 binary64)) (fma.f64 x x #s(literal 3 binary64)))
(+ (* x (* x (* (* x x) 1/6))) -3/2)
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -3/2 binary64))
x
(* x (* (* x x) 1/6))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(* (* x x) 1/6)
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* x x)
(*.f64 x x)
1/6
#s(literal 1/6 binary64)
-3/2
#s(literal -3/2 binary64)
(+ (* x x) 3)
(fma.f64 x x #s(literal 3 binary64))
3
#s(literal 3 binary64)

localize84.0ms (1.5%)

Memory
28.4MiB live, 145.0MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) #s(literal -3/2 binary64))
accuracy99.9%
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
accuracy99.8%
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
accuracy64.2%
(/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) #s(literal -3/2 binary64)) (fma.f64 x x #s(literal 3 binary64)))
accuracy100.0%
(*.f64 x x)
accuracy99.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
accuracy99.0%
(/.f64 #s(literal 6 binary64) (*.f64 x x))
accuracy100.0%
(*.f64 x x)
accuracy99.8%
(/.f64 (*.f64 x x) #s(literal 6 binary64))
accuracy100.0%
(*.f64 x x)
accuracy99.8%
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
accuracy100.0%
(fma.f64 x x #s(literal -3 binary64))
accuracy99.9%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64)))
accuracy99.8%
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
accuracy99.1%
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64)))
Samples
56.0ms256×0valid
Compiler

Compiled 120 to 23 computations (80.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-div: 10.0ms (39.6% of total)
ival-mult: 8.0ms (31.7% of total)
ival-add: 3.0ms (11.9% of total)
const: 3.0ms (11.9% of total)
exact: 1.0ms (4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series15.0ms (0.3%)

Memory
-32.6MiB live, 8.6MiB allocated
Counts
12 → 144
Calls
Call 1
Inputs
#<alt (/ 1 (* (/ 1 (+ (* x x) -3)) 6))>
#<alt (* (/ 1 (+ (* x x) -3)) 6)>
#<alt (/ 1 (+ (* x x) -3))>
#<alt (+ (* x x) -3)>
#<alt (* (* x x) 1/6)>
#<alt (* x x)>
#<alt (/ (* x x) 6)>
#<alt (/ 1 (/ 6 (* x x)))>
#<alt (/ 6 (* x x))>
#<alt (/ (+ (* x (* x (* (* x x) 1/6))) -3/2) (+ (* x x) 3))>
#<alt (+ (* x (* x (* (* x x) 1/6))) -3/2)>
#<alt (* x (* (* x x) 1/6))>
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 -1/3>
#<alt (- (* -1/9 (pow x 2)) 1/3)>
#<alt (- (* (pow x 2) (- (* -1/27 (pow x 2)) 1/9)) 1/3)>
#<alt (- (* (pow x 2) (- (* (pow x 2) (- (* -1/81 (pow x 2)) 1/27)) 1/9)) 1/3)>
#<alt (/ 1 (pow x 2))>
#<alt (/ (+ 1 (* 3 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 1 (+ (* 3 (/ 1 (pow x 2))) (/ 9 (pow x 4)))) (pow x 2))>
#<alt (/ (+ 1 (+ (* 3 (/ 1 (pow x 2))) (+ (* 27 (/ 1 (pow x 6))) (/ 9 (pow x 4))))) (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ (+ 1 (* 3 (/ 1 (pow x 2)))) (pow x 2))>
#<alt (/ (+ 1 (+ (* 3 (/ 1 (pow x 2))) (/ 9 (pow x 4)))) (pow x 2))>
#<alt (/ (+ 1 (+ (* 3 (/ 1 (pow x 2))) (+ (* 27 (/ 1 (pow x 6))) (/ 9 (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 (* 1/6 (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 (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 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (pow x 2))>
#<alt (/ 6 (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 -3/2>
#<alt (- (* 1/6 (pow x 4)) 3/2)>
#<alt (- (* 1/6 (pow x 4)) 3/2)>
#<alt (- (* 1/6 (pow x 4)) 3/2)>
#<alt (* 1/6 (pow x 4))>
#<alt (* (pow x 4) (- 1/6 (* 3/2 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 1/6 (* 3/2 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 1/6 (* 3/2 (/ 1 (pow x 4)))))>
#<alt (* 1/6 (pow x 4))>
#<alt (* (pow x 4) (- 1/6 (* 3/2 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 1/6 (* 3/2 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 1/6 (* 3/2 (/ 1 (pow x 4)))))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
#<alt (* 1/6 (pow x 3))>
Calls

36 calls:

TimeVariablePointExpression
10.0ms
x
@-inf
(* x (* (* x x) 1/6))
0.0ms
x
@0
(* x (* (* x x) 1/6))
0.0ms
x
@inf
(/ (+ (* x (* x (* (* x x) 1/6))) -3/2) (+ (* x x) 3))
0.0ms
x
@0
(/ (+ (* x (* x (* (* x x) 1/6))) -3/2) (+ (* x x) 3))
0.0ms
x
@0
(/ 6 (* x x))

rewrite304.0ms (5.3%)

Memory
9.5MiB live, 480.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 972×*-lowering-*.f32
4 972×*-lowering-*.f64
4 084×accelerator-lowering-fma.f32
4 084×accelerator-lowering-fma.f64
3 870×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02186
112174
275374
0814767
Stop Event
iter limit
node limit
Counts
12 → 964
Calls
Call 1
Inputs
(/ 1 (* (/ 1 (+ (* x x) -3)) 6))
(* (/ 1 (+ (* x x) -3)) 6)
(/ 1 (+ (* x x) -3))
(+ (* x x) -3)
(* (* x x) 1/6)
(* x x)
(/ (* x x) 6)
(/ 1 (/ 6 (* x x)))
(/ 6 (* x x))
(/ (+ (* x (* x (* (* x x) 1/6))) -3/2) (+ (* x x) 3))
(+ (* x (* x (* (* x x) 1/6))) -3/2)
(* x (* (* x x) 1/6))
Outputs
(+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(exp.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (log.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))))
(-.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (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)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal -1/2 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 x #s(literal 1/6 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))
(fma.f64 (neg.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))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 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 #s(literal -1/6 binary64) (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/6 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/6 binary64) (/.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(fma.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) #s(literal -1 binary64) #s(literal -1/2 binary64))
(fma.f64 (neg.f64 x) (/.f64 x #s(literal -6 binary64)) #s(literal -1/2 binary64))
(fma.f64 (neg.f64 x) (*.f64 x #s(literal -1/6 binary64)) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1/6 binary64) #s(literal -1/2 binary64))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(fma.f64 (/.f64 x #s(literal -6 binary64)) (neg.f64 x) #s(literal -1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64))) (pow.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
(fma.f64 (*.f64 #s(literal -1/6 binary64) x) (neg.f64 x) #s(literal -1/2 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 6 binary64) x)) (neg.f64 x) #s(literal -1/2 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -6 binary64) x)) (neg.f64 x) #s(literal -1/2 binary64))
(neg.f64 (*.f64 #s(literal -1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))))
(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))
(/.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 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 #s(literal -1 binary64) (/.f64 #s(literal -6 binary64) (fma.f64 x x #s(literal -3 binary64))))
(/.f64 (-.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -6 binary64))
(/.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -27 binary64)) (*.f64 #s(literal 6 binary64) (fma.f64 (*.f64 x x) (fma.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 -6 binary64) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)))))
(/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 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)) (*.f64 #s(literal -6 binary64) (-.f64 #s(literal -3 binary64) (*.f64 x x))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (neg.f64 x) #s(literal 9 binary64)) (*.f64 #s(literal 6 binary64) (-.f64 #s(literal -3 binary64) (*.f64 x x))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (neg.f64 x) #s(literal 9 binary64)) (*.f64 #s(literal -6 binary64) (fma.f64 x x #s(literal 3 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -27 binary64))) (*.f64 #s(literal 6 binary64) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -27 binary64))) (*.f64 #s(literal -6 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64))))
(/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))))
(/.f64 (-.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 6 binary64) (-.f64 #s(literal -3 binary64) (*.f64 x x))))
(/.f64 (*.f64 #s(literal -1/6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -27 binary64))) (fma.f64 (*.f64 x x) (fma.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))) (fma.f64 x x #s(literal 3 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (neg.f64 x) #s(literal 9 binary64))) (-.f64 #s(literal -3 binary64) (*.f64 x x)))
(/.f64 (*.f64 #s(literal 1/6 binary64) (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -27 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64))))
(/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 #s(literal -3 binary64) (*.f64 x x)))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -27 binary64)) #s(literal 1/6 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)) #s(literal 1/6 binary64)) (fma.f64 x x #s(literal 3 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (neg.f64 x) #s(literal 9 binary64)) #s(literal 1/6 binary64)) (-.f64 #s(literal -3 binary64) (*.f64 x x)))
(/.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -27 binary64))) #s(literal 1/6 binary64)) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/6 binary64)) (-.f64 #s(literal -3 binary64) (*.f64 x x)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -27 binary64)))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 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) (pow.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal -1/2 binary64))) (pow.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -27 binary64)))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)))) (fma.f64 x x #s(literal 3 binary64)))
(pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (neg.f64 (log.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))) #s(literal -1 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 x #s(literal -3 binary64)) #s(literal 1/6 binary64))
(*.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))
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(*.f64 (/.f64 (neg.f64 x) #s(literal 6 binary64)) (neg.f64 (*.f64 x x)))
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))
(*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal 6 binary64) x)) (neg.f64 x))

simplify295.0ms (5.2%)

Memory
8.1MiB live, 566.9MiB allocated
Algorithm
egg-herbie
Rules
10 588×accelerator-lowering-fma.f32
10 588×accelerator-lowering-fma.f64
3 376×*-lowering-*.f32
3 376×*-lowering-*.f64
1 648×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0100914
1197914
2424914
3863914
41953914
52904914
64184914
76714914
08143866
Stop Event
iter limit
node limit
Counts
144 → 144
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))
-1/3
(- (* -1/9 (pow x 2)) 1/3)
(- (* (pow x 2) (- (* -1/27 (pow x 2)) 1/9)) 1/3)
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/81 (pow x 2)) 1/27)) 1/9)) 1/3)
(/ 1 (pow x 2))
(/ (+ 1 (* 3 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1 (+ (* 3 (/ 1 (pow x 2))) (/ 9 (pow x 4)))) (pow x 2))
(/ (+ 1 (+ (* 3 (/ 1 (pow x 2))) (+ (* 27 (/ 1 (pow x 6))) (/ 9 (pow x 4))))) (pow x 2))
(/ 1 (pow x 2))
(/ (+ 1 (* 3 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1 (+ (* 3 (/ 1 (pow x 2))) (/ 9 (pow x 4)))) (pow x 2))
(/ (+ 1 (+ (* 3 (/ 1 (pow x 2))) (+ (* 27 (/ 1 (pow x 6))) (/ 9 (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)))))
(* 1/6 (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 (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 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 6 (pow x 2))
(/ 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)) 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)))))
-3/2
(- (* 1/6 (pow x 4)) 3/2)
(- (* 1/6 (pow x 4)) 3/2)
(- (* 1/6 (pow x 4)) 3/2)
(* 1/6 (pow x 4))
(* (pow x 4) (- 1/6 (* 3/2 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/6 (* 3/2 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/6 (* 3/2 (/ 1 (pow x 4)))))
(* 1/6 (pow x 4))
(* (pow x 4) (- 1/6 (* 3/2 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/6 (* 3/2 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/6 (* 3/2 (/ 1 (pow x 4)))))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
(* 1/6 (pow x 3))
Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
-2
#s(literal -2 binary64)
(- (* -2/3 (pow x 2)) 2)
(fma.f64 x (*.f64 x #s(literal -2/3 binary64)) #s(literal -2 binary64))
(- (* (pow x 2) (- (* -2/9 (pow x 2)) 2/3)) 2)
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #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 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -2/27 binary64) #s(literal -2/9 binary64))) #s(literal -2/3 binary64)) #s(literal -2 binary64))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ (+ 6 (* 18 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) (*.f64 x x))) (*.f64 x x))
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (/ 54 (pow x 4)))) (pow x 2))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 18 binary64) (/.f64 #s(literal 54 binary64) (*.f64 x x))) #s(literal 6 binary64)) (*.f64 x x))
(/ (+ 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) (*.f64 x x)) (+.f64 #s(literal 18 binary64) (/.f64 #s(literal 54 binary64) (*.f64 x x))) #s(literal 6 binary64)) (/.f64 #s(literal 162 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ (+ 6 (* 18 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) (*.f64 x x))) (*.f64 x x))
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (/ 54 (pow x 4)))) (pow x 2))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 18 binary64) (/.f64 #s(literal 54 binary64) (*.f64 x x))) #s(literal 6 binary64)) (*.f64 x x))
(/ (+ 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) (*.f64 x x)) (+.f64 #s(literal 18 binary64) (/.f64 #s(literal 54 binary64) (*.f64 x x))) #s(literal 6 binary64)) (/.f64 #s(literal 162 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x))
-1/3
#s(literal -1/3 binary64)
(- (* -1/9 (pow x 2)) 1/3)
(fma.f64 (*.f64 x x) #s(literal -1/9 binary64) #s(literal -1/3 binary64))
(- (* (pow x 2) (- (* -1/27 (pow x 2)) 1/9)) 1/3)
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal -1/27 binary64) #s(literal -1/9 binary64)) #s(literal -1/3 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/81 (pow x 2)) 1/27)) 1/9)) 1/3)
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -1/81 binary64) #s(literal -1/27 binary64))) #s(literal -1/9 binary64)) #s(literal -1/3 binary64))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (* 3 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x x))) (*.f64 x x))
(/ (+ 1 (+ (* 3 (/ 1 (pow x 2))) (/ 9 (pow x 4)))) (pow x 2))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 9 binary64) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 x x))
(/ (+ 1 (+ (* 3 (/ 1 (pow x 2))) (+ (* 27 (/ 1 (pow x 6))) (/ 9 (pow x 4))))) (pow x 2))
(/.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 9 binary64) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 27 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (* 3 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x x))) (*.f64 x x))
(/ (+ 1 (+ (* 3 (/ 1 (pow x 2))) (/ 9 (pow x 4)))) (pow x 2))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 9 binary64) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 x x))
(/ (+ 1 (+ (* 3 (/ 1 (pow x 2))) (+ (* 27 (/ 1 (pow x 6))) (/ 9 (pow x 4))))) (pow x 2))
(/.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 9 binary64) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 27 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x))
-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)
(*.f64 x x)
(* (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)
(*.f64 x x)
(* (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))
(* 1/6 (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 (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 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(*.f64 #s(literal 1/6 binary64) (*.f64 x x))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
-3/2
#s(literal -3/2 binary64)
(- (* 1/6 (pow x 4)) 3/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -3/2 binary64))
(- (* 1/6 (pow x 4)) 3/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -3/2 binary64))
(- (* 1/6 (pow x 4)) 3/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -3/2 binary64))
(* 1/6 (pow x 4))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- 1/6 (* 3/2 (/ 1 (pow x 4)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -3/2 binary64))
(* (pow x 4) (- 1/6 (* 3/2 (/ 1 (pow x 4)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -3/2 binary64))
(* (pow x 4) (- 1/6 (* 3/2 (/ 1 (pow x 4)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -3/2 binary64))
(* 1/6 (pow x 4))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- 1/6 (* 3/2 (/ 1 (pow x 4)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -3/2 binary64))
(* (pow x 4) (- 1/6 (* 3/2 (/ 1 (pow x 4)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -3/2 binary64))
(* (pow x 4) (- 1/6 (* 3/2 (/ 1 (pow x 4)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -3/2 binary64))
(* 1/6 (pow x 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))
(* 1/6 (pow x 3))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))

eval192.0ms (3.4%)

Memory
35.5MiB live, 264.2MiB allocated
Compiler

Compiled 27 967 to 2 896 computations (89.6% saved)

prune134.0ms (2.3%)

Memory
-3.8MiB live, 265.3MiB allocated
Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New1 26531 268
Fresh202
Picked325
Done033
Total1 27081 278
Accuracy
100.0%
Counts
1 278 → 8
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))
55.5%
(/.f64 (*.f64 x x) #s(literal 6 binary64))
55.6%
(/.f64 x (/.f64 #s(literal 6 binary64) x))
55.5%
(*.f64 (/.f64 x #s(literal -6 binary64)) (neg.f64 x))
55.6%
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
55.5%
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
45.5%
#s(literal -1/2 binary64)
Compiler

Compiled 47 to 33 computations (29.8% saved)

simplify7.0ms (0.1%)

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

Found 7 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 6 binary64) x)
cost-diff768
(/.f64 x (/.f64 #s(literal 6 binary64) x))
cost-diff0
(neg.f64 x)
cost-diff0
(/.f64 x #s(literal -6 binary64))
cost-diff512
(*.f64 (/.f64 x #s(literal -6 binary64)) (neg.f64 x))
cost-diff0
(*.f64 x #s(literal 1/6 binary64))
cost-diff0
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
Rules
42×*-lowering-*.f32
42×*-lowering-*.f64
42×accelerator-lowering-fma.f32
42×accelerator-lowering-fma.f64
32×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01132
12532
24832
36932
47932
59032
611832
712632
812732
012732
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* (* x 1/6) x)
(* x 1/6)
x
1/6
(* (/ x -6) (neg x))
(/ x -6)
x
-6
(neg x)
(/ x (/ 6 x))
x
(/ 6 x)
6
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 -6) (neg x))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(/ x -6)
(/.f64 x #s(literal -6 binary64))
x
-6
#s(literal -6 binary64)
(neg x)
(neg.f64 x)
(/ x (/ 6 x))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
x
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
6
#s(literal 6 binary64)

localize41.0ms (0.7%)

Memory
-19.0MiB live, 78.7MiB allocated
Localize:

Found 7 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))
accuracy100.0%
(neg.f64 x)
accuracy99.8%
(*.f64 (/.f64 x #s(literal -6 binary64)) (neg.f64 x))
accuracy99.8%
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
accuracy99.4%
(*.f64 x #s(literal 1/6 binary64))
Samples
28.0ms256×0valid
Compiler

Compiled 35 to 13 computations (62.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 10.0ms (48.7% of total)
ival-div: 5.0ms (24.4% of total)
const: 4.0ms (19.5% of total)
ival-neg: 1.0ms (4.9% 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
6.0MiB live, 6.0MiB allocated
Counts
7 → 84
Calls
Call 1
Inputs
#<alt (* (* x 1/6) x)>
#<alt (* x 1/6)>
#<alt (* (/ x -6) (neg x))>
#<alt (/ x -6)>
#<alt (neg x)>
#<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 (* 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 (* -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 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* 1/6 (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

21 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(/ 6 x)
0.0ms
x
@0
(/ x -6)
0.0ms
x
@inf
(/ 6 x)
0.0ms
x
@0
(/ 6 x)
0.0ms
x
@inf
(neg x)

rewrite269.0ms (4.7%)

Memory
-5.2MiB live, 527.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 066×accelerator-lowering-fma.f32
4 066×accelerator-lowering-fma.f64
2 452×*-lowering-*.f32
2 452×*-lowering-*.f64
1 840×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01126
14426
218126
393126
4630726
0800726
Stop Event
iter limit
node limit
Counts
7 → 1 726
Calls
Call 1
Inputs
(* (* x 1/6) x)
(* x 1/6)
(* (/ x -6) (neg x))
(/ x -6)
(neg x)
(/ x (/ 6 x))
(/ 6 x)
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 0 binary64))
(exp.f64 (log.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x))))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 36 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (*.f64 x #s(literal -6 binary64)) x)) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x (neg.f64 x)) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) (*.f64 x #s(literal 1/6 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal 0 binary64))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 0 binary64))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x (neg.f64 x)) #s(literal 0 binary64))
(fma.f64 #s(literal -1/6 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -6 binary64))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -6 binary64))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x #s(literal 1/6 binary64))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 x (*.f64 #s(literal -6 binary64) (*.f64 x x))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 (neg.f64 x) (*.f64 #s(literal -6 binary64) (*.f64 x x))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -6 binary64))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal -6 binary64) x)) #s(literal 0 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -6 binary64)) x)) #s(literal 0 binary64))
(fma.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x #s(literal -6 binary64)) x)) #s(literal 0 binary64))
(fma.f64 (*.f64 x (neg.f64 x)) #s(literal 1/6 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 x (neg.f64 x)) #s(literal -1/6 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 x (neg.f64 x)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -6 binary64)) x)) #s(literal 0 binary64))
(fma.f64 (*.f64 x (neg.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 1/6 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 x (neg.f64 x)) (/.f64 (*.f64 x #s(literal 1/6 binary64)) x) #s(literal 0 binary64))
(fma.f64 (*.f64 x (neg.f64 x)) (/.f64 x (*.f64 x #s(literal -6 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 x (neg.f64 x)) (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x #s(literal -6 binary64)) x)) #s(literal 0 binary64))
(fma.f64 (*.f64 x (neg.f64 x)) (/.f64 (neg.f64 x) (*.f64 x #s(literal -6 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 x (neg.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -6 binary64) x)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -6 binary64) (*.f64 x x))) #s(literal 0 binary64))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -6 binary64) (*.f64 x x))) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1/216 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64)) (/.f64 #s(literal -6 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #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)) x) #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)) (neg.f64 x)) #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)) (/.f64 #s(literal 1 binary64) x)) #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)) (/.f64 #s(literal -1 binary64) x)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 x #s(literal -6 binary64)) x) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 36 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1/6 binary64) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal -6 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.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)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.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)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) (pow.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/6 binary64) #s(literal 0 binary64))
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(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) (*.f64 x #s(literal 1/6 binary64)))
(*.f64 (neg.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 (*.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 -6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x 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 6 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x 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 (/.f64 #s(literal -6 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (*.f64 x x))
(*.f64 (*.f64 (/.f64 #s(literal -6 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (*.f64 x (neg.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) (*.f64 x #s(literal 1/6 binary64)))

simplify38.0ms (0.7%)

Memory
-12.1MiB live, 50.1MiB allocated
Algorithm
egg-herbie
Rules
24×+-lowering-+.f64
24×+-lowering-+.f32
22×*-lowering-*.f32
22×*-lowering-*.f64
22×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012312
118312
222312
323312
425312
527312
631312
750312
857312
057312
Stop Event
iter limit
saturated
Counts
84 → 84
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))
(* -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 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 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 x (*.f64 #s(literal 1/6 binary64) x))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 #s(literal 1/6 binary64) x))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 #s(literal 1/6 binary64) x))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 #s(literal 1/6 binary64) x))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 #s(literal 1/6 binary64) x))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 #s(literal 1/6 binary64) x))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 #s(literal 1/6 binary64) x))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 #s(literal 1/6 binary64) x))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 #s(literal 1/6 binary64) x))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 #s(literal 1/6 binary64) x))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 #s(literal 1/6 binary64) x))
(* 1/6 (pow x 2))
(*.f64 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 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 (pow x 2))
(*.f64 x (*.f64 #s(literal 1/6 binary64) x))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 #s(literal 1/6 binary64) x))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 #s(literal 1/6 binary64) x))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 #s(literal 1/6 binary64) x))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 #s(literal 1/6 binary64) x))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 #s(literal 1/6 binary64) x))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 #s(literal 1/6 binary64) x))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 #s(literal 1/6 binary64) x))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 #s(literal 1/6 binary64) x))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 #s(literal 1/6 binary64) x))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 #s(literal 1/6 binary64) x))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 #s(literal 1/6 binary64) x))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* 1/6 (pow x 2))
(*.f64 x (*.f64 #s(literal 1/6 binary64) x))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 #s(literal 1/6 binary64) x))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 #s(literal 1/6 binary64) x))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 #s(literal 1/6 binary64) x))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 #s(literal 1/6 binary64) x))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 #s(literal 1/6 binary64) x))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 #s(literal 1/6 binary64) x))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 #s(literal 1/6 binary64) x))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 #s(literal 1/6 binary64) x))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 #s(literal 1/6 binary64) x))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 #s(literal 1/6 binary64) x))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 #s(literal 1/6 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)
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)

eval282.0ms (4.9%)

Memory
21.5MiB live, 352.6MiB allocated
Compiler

Compiled 25 316 to 2 291 computations (91% saved)

prune160.0ms (2.8%)

Memory
-20.4MiB live, 358.8MiB allocated
Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New1 80911 810
Fresh000
Picked123
Done055
Total1 81081 818
Accuracy
100.0%
Counts
1 818 → 8
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))
55.5%
(/.f64 (*.f64 x x) #s(literal 6 binary64))
55.6%
(/.f64 x (/.f64 #s(literal 6 binary64) x))
55.5%
(*.f64 (/.f64 x #s(literal 6 binary64)) x)
55.6%
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
55.5%
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
45.5%
#s(literal -1/2 binary64)
Compiler

Compiled 229 to 95 computations (58.5% saved)

regimes22.0ms (0.4%)

Memory
15.3MiB live, 54.1MiB allocated
Counts
19 → 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 (/.f64 x #s(literal -6 binary64)) (neg.f64 x))
(/.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) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64)))
(/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) #s(literal -3/2 binary64)) (fma.f64 x x #s(literal 3 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64))) (*.f64 #s(literal -6 binary64) (fma.f64 x x #s(literal 3 binary64))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (neg.f64 x) #s(literal 9 binary64)) (*.f64 #s(literal -6 binary64) (fma.f64 x x #s(literal 3 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 (fma.f64 (*.f64 x (*.f64 x (*.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)))
(fma.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))
Outputs
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
Calls

4 calls:

6.0ms
x
5.0ms
(*.f64 x x)
5.0ms
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
5.0ms
(-.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)

regimes8.0ms (0.1%)

Memory
16.1MiB live, 16.1MiB 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:

2.0ms
x
2.0ms
(*.f64 x 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)

regimes9.0ms (0.2%)

Memory
-26.6MiB live, 14.0MiB 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:

3.0ms
(-.f64 (*.f64 x x) #s(literal 3 binary64))
2.0ms
x
2.0ms
(*.f64 x x)
2.0ms
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
Results
AccuracySegmentsBranch
99.4%2x
99.4%2(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
99.4%2(-.f64 (*.f64 x x) #s(literal 3 binary64))
99.4%2(*.f64 x x)
Compiler

Compiled 20 to 13 computations (35% saved)

regimes6.0ms (0.1%)

Memory
10.0MiB live, 10.0MiB 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)

regimes5.0ms (0.1%)

Memory
9.1MiB live, 9.1MiB 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:

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
45.5%1x
45.5%1(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
45.5%1(-.f64 (*.f64 x x) #s(literal 3 binary64))
45.5%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
3.0461828202936193e-11
165586.93182592804
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
3.0461828202936193e-11
165586.93182592804
Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify7.0ms (0.1%)

Memory
8.7MiB live, 8.7MiB allocated
Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01337
11637
Stop Event
saturated
Calls
Call 1
Inputs
(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 7737125245533627/154742504910672534362390528 binary64)) #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(if (<=.f64 (*.f64 x x) #s(literal 7737125245533627/154742504910672534362390528 binary64)) #s(literal -1/2 binary64) (*.f64 (*.f64 x #s(literal 1/6 binary64)) x))
#s(literal -1/2 binary64)
Outputs
(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 7737125245533627/154742504910672534362390528 binary64)) #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(if (<=.f64 (*.f64 x x) #s(literal 7737125245533627/154742504910672534362390528 binary64)) #s(literal -1/2 binary64) (*.f64 (*.f64 x #s(literal 1/6 binary64)) x))
(if (<=.f64 (*.f64 x x) #s(literal 7737125245533627/154742504910672534362390528 binary64)) #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
#s(literal -1/2 binary64)

soundness544.0ms (9.5%)

Memory
-3.3MiB live, 303.9MiB allocated
Rules
5 168×/-lowering-/.f32
5 168×/-lowering-/.f64
4 972×*-lowering-*.f32
4 972×*-lowering-*.f64
4 388×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019162
143162
298162
3235162
4748162
51583162
62320162
73495162
84221162
95328162
106382162
117111162
08024144
02186
112174
275374
0814767
0615
13915
222715
3183215
0868513
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 76 to 41 computations (46.1% saved)

preprocess57.0ms (1%)

Memory
-15.9MiB live, 61.2MiB allocated
Remove

(abs x)

Compiler

Compiled 106 to 48 computations (54.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...