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

Time bar (total: 6.7s)

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB 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)

sample541.0ms (8.1%)

Memory
16.0MiB live, 913.2MiB allocated
Samples
381.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 199.0ms
ival-div: 67.0ms (33.7% of total)
ival-mult: 64.0ms (32.2% of total)
ival-sub: 52.0ms (26.2% of total)
exact: 8.0ms (4% of total)
ival-true: 5.0ms (2.5% of total)
ival-assert: 3.0ms (1.5% of total)
Bogosity

preprocess20.0ms (0.3%)

Memory
-5.0MiB live, 31.7MiB 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)

explain73.0ms (1.1%)

Memory
10.8MiB live, 166.7MiB 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
22.0ms512×0valid
Compiler

Compiled 56 to 28 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 4.0ms (37.3% of total)
ival-div: 3.0ms (28% of total)
ival-sub: 2.0ms (18.7% 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
0.7MiB live, 0.7MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
2.9MiB live, 2.9MiB 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
12.0MiB live, 12.0MiB 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)

localize279.0ms (4.2%)

Memory
-198.9MiB live, 47.7MiB 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 (37.8% of total)
ival-mult: 2.0ms (37.8% of total)
ival-sub: 1.0ms (18.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0%)

Memory
4.6MiB live, 4.6MiB 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)

rewrite770.0ms (11.5%)

Memory
17.5MiB live, 651.5MiB 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)

simplify208.0ms (3.1%)

Memory
19.3MiB live, 293.1MiB 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)

eval68.0ms (1%)

Memory
-6.6MiB live, 148.1MiB allocated
Compiler

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

prune78.0ms (1.2%)

Memory
-2.9MiB live, 170.3MiB allocated
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New54210552
Fresh000
Picked101
Done000
Total54310553
Accuracy
100.0%
Counts
553 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
50.9%
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
63.5%
(/.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)))
54.7%
(/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -81 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal 18 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 9 binary64))))
99.9%
(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))
51.9%
(/.f64 (*.f64 x x) #s(literal 6 binary64))
99.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))))
63.4%
(*.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))))
51.8%
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
48.1%
#s(literal -1/2 binary64)
Compiler

Compiled 230 to 140 computations (39.1% saved)

simplify8.0ms (0.1%)

Memory
-27.6MiB live, 11.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x (*.f64 x x))
cost-diff0
(*.f64 x (*.f64 x (*.f64 x x)))
cost-diff0
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64))
cost-diff0
(/.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)))
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
(fma.f64 x x #s(literal -3 binary64))
cost-diff0
(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))
Rules
68×*-lowering-*.f32
68×*-lowering-*.f64
34×accelerator-lowering-fma.f32
34×accelerator-lowering-fma.f64
26×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024104
14598
26798
38498
08488
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ (+ (* x x) -3) 6)
(+ (* x x) -3)
x
-3
6
-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
(/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* x (* x 1/6)) 1/2))
(+ (* (* x (* x (* x x))) 1/36) -1/4)
(* x (* x (* x x)))
x
(* x (* x x))
(* x x)
1/36
-1/4
(+ (* x (* x 1/6)) 1/2)
(* x 1/6)
1/6
1/2
Outputs
(/ (+ (* x x) -3) 6)
(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))
(+ (* x x) -3)
(fma.f64 x x #s(literal -3 binary64))
x
-3
#s(literal -3 binary64)
6
#s(literal 6 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)
(/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* x (* x 1/6)) 1/2))
(/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(+ (* (* x (* x (* x x))) 1/36) -1/4)
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/4 binary64))
(* x (* x (* x x)))
(*.f64 x (*.f64 x (*.f64 x x)))
x
(* x (* x x))
(*.f64 x (*.f64 x x))
(* x x)
(*.f64 x x)
1/36
#s(literal 1/36 binary64)
-1/4
#s(literal -1/4 binary64)
(+ (* x (* x 1/6)) 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))
1/6
#s(literal 1/6 binary64)
1/2
#s(literal 1/2 binary64)

localize79.0ms (1.2%)

Memory
38.4MiB live, 182.2MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(*.f64 x (*.f64 x (*.f64 x x)))
accuracy99.9%
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
accuracy99.5%
(*.f64 x #s(literal 1/6 binary64))
accuracy69.0%
(/.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)))
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))))
accuracy99.4%
(/.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))
accuracy99.5%
(*.f64 x #s(literal 1/6 binary64))
accuracy100.0%
(fma.f64 x x #s(literal -3 binary64))
accuracy99.9%
(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))
Samples
43.0ms256×0valid
Compiler

Compiled 106 to 26 computations (75.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-mult: 11.0ms (36.5% of total)
ival-div: 7.0ms (23.2% of total)
const: 6.0ms (19.9% of total)
ival-add: 5.0ms (16.6% of total)
exact: 1.0ms (3.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
15.0MiB live, 15.0MiB allocated
Counts
11 → 132
Calls
Call 1
Inputs
#<alt (/ (+ (* x x) -3) 6)>
#<alt (+ (* x x) -3)>
#<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 (* x x))) 1/36) -1/4) (+ (* x (* x 1/6)) 1/2))>
#<alt (+ (* (* x (* x (* x x))) 1/36) -1/4)>
#<alt (* x (* x (* x x)))>
#<alt (* x (* x x))>
#<alt (+ (* x (* x 1/6)) 1/2)>
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 -3>
#<alt (- (pow x 2) 3)>
#<alt (- (pow x 2) 3)>
#<alt (- (pow x 2) 3)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))>
#<alt -1/2>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt -1/2>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (- (* 1/6 (pow x 2)) 1/2)>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* 1/6 (pow x 2))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))>
#<alt -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 -1/2>
#<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 -1/4>
#<alt (- (* 1/36 (pow x 4)) 1/4)>
#<alt (- (* 1/36 (pow x 4)) 1/4)>
#<alt (- (* 1/36 (pow x 4)) 1/4)>
#<alt (* 1/36 (pow x 4))>
#<alt (* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))>
#<alt (* 1/36 (pow x 4))>
#<alt (* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 (pow x 2)))>
#<alt (+ 1/2 (* 1/6 (pow x 2)))>
#<alt (+ 1/2 (* 1/6 (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 (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)))))>
Calls

33 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* x (* x 1/6)) 1/2))
0.0ms
x
@0
(* x 1/6)
0.0ms
x
@0
(/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* x (* x 1/6)) 1/2))
0.0ms
x
@-inf
(* x 1/6)
0.0ms
x
@-inf
(* x (* x x))

rewrite498.0ms (7.4%)

Memory
-25.9MiB live, 782.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
8 690×accelerator-lowering-fma.f32
8 690×accelerator-lowering-fma.f64
5 538×*-lowering-*.f32
5 538×*-lowering-*.f64
3 536×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02467
113163
281463
0853755
Stop Event
iter limit
node limit
Counts
11 → 1 662
Calls
Call 1
Inputs
(/ (+ (* x x) -3) 6)
(+ (* x x) -3)
(+ (* (* x 1/6) x) -1/2)
(* x 1/6)
(/ 1 (/ 6 (+ (* x x) -3)))
(/ 6 (+ (* x x) -3))
(/ (+ (* (* x (* x (* x x))) 1/36) -1/4) (+ (* x (* x 1/6)) 1/2))
(+ (* (* x (* x (* x x))) 1/36) -1/4)
(* x (* x (* x x)))
(* x (* x x))
(+ (* x (* x 1/6)) 1/2)
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))))
(+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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 x (*.f64 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 (*.f64 x (*.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 (*.f64 (*.f64 x (*.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))) (*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) #s(literal -1/2 binary64))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal -1/4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) #s(literal -1/4 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 1/36 binary64))) #s(literal -1/4 binary64)) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64))) #s(literal 1/8 binary64))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))))) (*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) #s(literal -1/4 binary64)) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64))) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))))
(+.f64 (*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) #s(literal -1/4 binary64)) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64))) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))) (*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) #s(literal -1/4 binary64)) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64))) #s(literal 1/8 binary64))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))))))
(+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (/.f64 (*.f64 (*.f64 x (*.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))))
(+.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal -1/6 binary64)) #s(literal -1/2 binary64))
(+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))) (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) #s(literal -1/4 binary64)) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64))) #s(literal 1/8 binary64)))) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))) (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) #s(literal -1/4 binary64)) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64))) #s(literal 1/8 binary64)))))
(+.f64 (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))) (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) #s(literal -1/4 binary64)) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64))) #s(literal 1/8 binary64)))) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))) (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) #s(literal -1/4 binary64)) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64))) #s(literal 1/8 binary64)))))
(exp.f64 (*.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 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1/2 binary64))
(-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.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))) (/.f64 #s(literal -1/4 binary64) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1/2 binary64))))
(-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
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(*.f64 (/.f64 (fma.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal -1/64 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 (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/1296 binary64))) #s(literal 1/16 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64)))) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal -1/64 binary64)) #s(literal -1/6 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/1296 binary64))) #s(literal 1/16 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64)))) (-.f64 #s(literal 3 binary64) (*.f64 x x))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal -1/64 binary64)) (pow.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/1296 binary64))) #s(literal 1/16 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64)))) (pow.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal -1/64 binary64)) (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) #s(literal -1/4 binary64)) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64))) #s(literal 1/8 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/1296 binary64))) #s(literal 1/16 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64)))) (+.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/1296 binary64))) #s(literal -1/16 binary64)) (fma.f64 x x #s(literal -3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) #s(literal 1/4 binary64))) #s(literal 1/6 binary64)))
(*.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/1296 binary64))) #s(literal -1/16 binary64)) #s(literal 1/6 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) #s(literal 1/4 binary64))) (fma.f64 x x #s(literal -3 binary64))))
(*.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/1296 binary64))) #s(literal -1/16 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) #s(literal 1/4 binary64))) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/1296 binary64))) #s(literal -1/16 binary64)) (-.f64 #s(literal 3 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) #s(literal 1/4 binary64))) #s(literal -1/6 binary64)))
(*.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/1296 binary64))) #s(literal -1/16 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/216 binary64) #s(literal -1/8 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal 1/12 binary64))))))
(*.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/1296 binary64))) #s(literal -1/16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) #s(literal 1/4 binary64))) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) #s(literal -1/4 binary64))))
(*.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/1296 binary64))) #s(literal -1/16 binary64)) #s(literal -1/6 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) #s(literal 1/4 binary64))) (-.f64 #s(literal 3 binary64) (*.f64 x x))))
(*.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/1296 binary64))) #s(literal -1/16 binary64)) (pow.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/1296 binary64))) #s(literal -1/16 binary64)) (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) #s(literal -1/4 binary64)) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/216 binary64))) #s(literal 1/8 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) #s(literal 1/4 binary64))) (+.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))))
(*.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) #s(literal -1/4 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64)))) #s(literal -6 binary64))
(*.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/216 binary64) #s(literal -1/8 binary64)) (+.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))))) (+.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/1296 binary64))) #s(literal 1/16 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64))))
(*.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) #s(literal 1/4 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) #s(literal -1/4 binary64)) (/.f64 #s(literal 6 binary64) (fma.f64 x (*.f64 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 (*.f64 x x) #s(literal 3 binary64))))
(*.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) #s(literal -1/4 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)))

simplify251.0ms (3.7%)

Memory
-7.6MiB live, 347.3MiB allocated
Algorithm
egg-herbie
Rules
6 980×accelerator-lowering-fma.f32
6 980×accelerator-lowering-fma.f64
3 538×*-lowering-*.f32
3 538×*-lowering-*.f64
1 558×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072756
1149756
2318756
3664756
41328756
52217756
63433756
75480756
87239756
08034687
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)))))
-3
(- (pow x 2) 3)
(- (pow x 2) 3)
(- (pow x 2) 3)
(pow x 2)
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
-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))
-1/2
(- (* 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)))))
-1/4
(- (* 1/36 (pow x 4)) 1/4)
(- (* 1/36 (pow x 4)) 1/4)
(- (* 1/36 (pow x 4)) 1/4)
(* 1/36 (pow x 4))
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))
(* 1/36 (pow x 4))
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
1/2
(+ 1/2 (* 1/6 (pow x 2)))
(+ 1/2 (* 1/6 (pow x 2)))
(+ 1/2 (* 1/6 (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 (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)))))
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))
-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))
(* 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 x (*.f64 x (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 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 (/.f64 #s(literal 18 binary64) (*.f64 x x)) (/.f64 #s(literal 54 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 162 binary64) (*.f64 x (*.f64 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 (/.f64 #s(literal 18 binary64) (*.f64 x x)) (/.f64 #s(literal 54 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 162 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (*.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))
-1/4
#s(literal -1/4 binary64)
(- (* 1/36 (pow x 4)) 1/4)
(fma.f64 x (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x x))) #s(literal -1/4 binary64))
(- (* 1/36 (pow x 4)) 1/4)
(fma.f64 x (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x x))) #s(literal -1/4 binary64))
(- (* 1/36 (pow x 4)) 1/4)
(fma.f64 x (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x x))) #s(literal -1/4 binary64))
(* 1/36 (pow x 4))
(*.f64 x (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x x))))
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))
(fma.f64 x (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x x))) #s(literal -1/4 binary64))
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))
(fma.f64 x (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x x))) #s(literal -1/4 binary64))
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))
(fma.f64 x (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x x))) #s(literal -1/4 binary64))
(* 1/36 (pow x 4))
(*.f64 x (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x x))))
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))
(fma.f64 x (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x x))) #s(literal -1/4 binary64))
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))
(fma.f64 x (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x x))) #s(literal -1/4 binary64))
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))
(fma.f64 x (*.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x x))) #s(literal -1/4 binary64))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 (pow x 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (pow x 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (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 (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))

eval301.0ms (4.5%)

Memory
22.1MiB live, 360.6MiB allocated
Compiler

Compiled 67 897 to 2 755 computations (95.9% saved)

prune239.0ms (3.6%)

Memory
-15.5MiB live, 205.2MiB allocated
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New1 87941 883
Fresh145
Picked235
Done000
Total1 882111 893
Accuracy
100.0%
Counts
1 893 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
50.9%
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
63.5%
(/.f64 (fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) x #s(literal -1/4 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
99.9%
(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))
51.9%
(/.f64 (*.f64 x x) #s(literal 6 binary64))
51.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
51.0%
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 1/2 binary64))))
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)))
63.4%
(*.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))))
51.8%
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
48.1%
#s(literal -1/2 binary64)
Compiler

Compiled 208 to 136 computations (34.6% saved)

simplify11.0ms (0.2%)

Memory
12.7MiB live, 12.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64)))
cost-diff1088
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 1/2 binary64))))
cost-diff2688
(*.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 1/2 binary64)))
cost-diff5824
(pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 1/2 binary64))
cost-diff0
(*.f64 (*.f64 x x) #s(literal 1/36 binary64))
cost-diff0
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))
cost-diff0
(fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) x #s(literal -1/4 binary64))
cost-diff0
(/.f64 (fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) x #s(literal -1/4 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 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-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
140×*-lowering-*.f32
140×*-lowering-*.f64
56×associate-*r*
50×/-lowering-/.f32
50×/-lowering-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028159
158149
283149
3113145
4138145
5181145
6184145
7188145
0188132
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
(/ 1 (/ 6 (* x x)))
1
(/ 6 (* x x))
6
(* x x)
x
(/ (+ (* (* x (* (* x x) 1/36)) x) -1/4) (+ (* x (* x 1/6)) 1/2))
(+ (* (* x (* (* x x) 1/36)) x) -1/4)
(* x (* (* x x) 1/36))
x
(* (* x x) 1/36)
(* x x)
1/36
-1/4
(+ (* x (* x 1/6)) 1/2)
(* x 1/6)
1/6
1/2
(/ 1 (* (pow (/ 6 (+ (* x x) -3)) 1/2) (pow (/ 6 (+ (* x x) -3)) 1/2)))
1
(* (pow (/ 6 (+ (* x x) -3)) 1/2) (pow (/ 6 (+ (* x x) -3)) 1/2))
(pow (/ 6 (+ (* x x) -3)) 1/2)
(/ 6 (+ (* x x) -3))
6
(+ (* x x) -3)
x
-3
1/2
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)
(/ 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) 1/36)) x) -1/4) (+ (* x (* x 1/6)) 1/2))
(/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(+ (* (* x (* (* x x) 1/36)) x) -1/4)
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/4 binary64))
(* x (* (* x x) 1/36))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))
x
(* (* x x) 1/36)
(*.f64 (*.f64 x x) #s(literal 1/36 binary64))
(* x x)
(*.f64 x x)
1/36
#s(literal 1/36 binary64)
-1/4
#s(literal -1/4 binary64)
(+ (* x (* x 1/6)) 1/2)
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(* x 1/6)
(*.f64 x #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
1/2
#s(literal 1/2 binary64)
(/ 1 (* (pow (/ 6 (+ (* x x) -3)) 1/2) (pow (/ 6 (+ (* x x) -3)) 1/2)))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
1
#s(literal 1 binary64)
(* (pow (/ 6 (+ (* x x) -3)) 1/2) (pow (/ 6 (+ (* x x) -3)) 1/2))
(/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64)))
(pow (/ 6 (+ (* x x) -3)) 1/2)
(sqrt.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))))
(/ 6 (+ (* x x) -3))
(/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64)))
6
#s(literal 6 binary64)
(+ (* x x) -3)
(fma.f64 x x #s(literal -3 binary64))
x
-3
#s(literal -3 binary64)
1/2
#s(literal 1/2 binary64)

localize127.0ms (1.9%)

Memory
5.7MiB live, 82.2MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 1/2 binary64))))
accuracy99.8%
(*.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 1/2 binary64)))
accuracy99.4%
(/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64)))
accuracy75.1%
(pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 1/2 binary64))
accuracy99.9%
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
accuracy99.8%
(*.f64 (*.f64 x x) #s(literal 1/36 binary64))
accuracy99.7%
(*.f64 x #s(literal 1/6 binary64))
accuracy69.0%
(/.f64 (fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) x #s(literal -1/4 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
accuracy100.0%
(*.f64 x x)
accuracy99.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
accuracy99.4%
(/.f64 #s(literal 6 binary64) (*.f64 x x))
accuracy100.0%
(*.f64 x x)
accuracy99.9%
(*.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)))
accuracy99.9%
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
accuracy99.5%
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64)))
Samples
27.0ms131×0valid
25.0ms125×0invalid
Compiler

Compiled 177 to 30 computations (83.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-mult: 13.0ms (36.5% of total)
ival-div: 10.0ms (28.1% of total)
const: 6.0ms (16.8% of total)
ival-add: 4.0ms (11.2% of total)
ival-sqrt: 2.0ms (5.6% of total)
exact: 1.0ms (2.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (0.2%)

Memory
13.5MiB live, 13.5MiB allocated
Counts
18 → 216
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 (/ 1 (/ 6 (* x x)))>
#<alt (/ 6 (* x x))>
#<alt (/ (+ (* (* x (* (* x x) 1/36)) x) -1/4) (+ (* x (* x 1/6)) 1/2))>
#<alt (+ (* (* x (* (* x x) 1/36)) x) -1/4)>
#<alt (* x (* (* x x) 1/36))>
#<alt (* (* x x) 1/36)>
#<alt (pow (/ 6 (+ (* x x) -3)) 1/2)>
#<alt (* (pow (/ 6 (+ (* x x) -3)) 1/2) (pow (/ 6 (+ (* x x) -3)) 1/2))>
#<alt (/ 1 (* (pow (/ 6 (+ (* x x) -3)) 1/2) (pow (/ 6 (+ (* x x) -3)) 1/2)))>
#<alt (/ 6 (+ (* x x) -3))>
#<alt (* x 1/6)>
#<alt (+ (* x (* x 1/6)) 1/2)>
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 (/ 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 -1/4>
#<alt (- (* 1/36 (pow x 4)) 1/4)>
#<alt (- (* 1/36 (pow x 4)) 1/4)>
#<alt (- (* 1/36 (pow x 4)) 1/4)>
#<alt (* 1/36 (pow x 4))>
#<alt (* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))>
#<alt (* 1/36 (pow x 4))>
#<alt (* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))>
#<alt (* 1/36 (pow x 3))>
#<alt (* 1/36 (pow x 3))>
#<alt (* 1/36 (pow x 3))>
#<alt (* 1/36 (pow x 3))>
#<alt (* 1/36 (pow x 3))>
#<alt (* 1/36 (pow x 3))>
#<alt (* 1/36 (pow x 3))>
#<alt (* 1/36 (pow x 3))>
#<alt (* 1/36 (pow x 3))>
#<alt (* 1/36 (pow x 3))>
#<alt (* 1/36 (pow x 3))>
#<alt (* 1/36 (pow x 3))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (* 1/36 (pow x 2))>
#<alt (sqrt -2)>
#<alt (+ (sqrt -2) (* -1/3 (/ (pow x 2) (sqrt -2))))>
#<alt (+ (sqrt -2) (* (pow x 2) (- (* -1/2 (/ (* (pow x 2) (+ 2/9 (* 1/9 (/ 1 (pow (sqrt -2) 2))))) (sqrt -2))) (* 1/3 (/ 1 (sqrt -2))))))>
#<alt (+ (sqrt -2) (* (pow x 2) (- (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (+ 2/27 (* 1/3 (/ (+ 2/9 (* 1/9 (/ 1 (pow (sqrt -2) 2)))) (pow (sqrt -2) 2))))) (sqrt -2))) (* -1/2 (/ (+ 2/9 (* 1/9 (/ 1 (pow (sqrt -2) 2)))) (sqrt -2))))) (* 1/3 (/ 1 (sqrt -2))))))>
#<alt (/ (sqrt 6) x)>
#<alt (/ (+ (sqrt 6) (* 9 (/ 1 (* (pow x 2) (sqrt 6))))) x)>
#<alt (/ (+ (sqrt 6) (+ (* 1/2 (/ (- 54 (* 81 (/ 1 (pow (sqrt 6) 2)))) (* (pow x 4) (sqrt 6)))) (/ 9 (* (pow x 2) (sqrt 6))))) x)>
#<alt (/ (+ (sqrt 6) (+ (* 1/2 (/ (- 54 (* 81 (/ 1 (pow (sqrt 6) 2)))) (* (pow x 4) (sqrt 6)))) (+ (* 1/2 (/ (- 162 (* 9 (/ (- 54 (* 81 (/ 1 (pow (sqrt 6) 2)))) (pow (sqrt 6) 2)))) (* (pow x 6) (sqrt 6)))) (/ 9 (* (pow x 2) (sqrt 6)))))) x)>
#<alt (* -1 (/ (sqrt 6) x))>
#<alt (* -1 (/ (+ (sqrt 6) (* 9 (/ 1 (* (pow x 2) (sqrt 6))))) x))>
#<alt (* -1 (/ (+ (sqrt 6) (+ (* 1/2 (/ (- 54 (* 81 (/ 1 (pow (sqrt 6) 2)))) (* (pow x 4) (sqrt 6)))) (/ 9 (* (pow x 2) (sqrt 6))))) x))>
#<alt (* -1 (/ (+ (sqrt 6) (+ (* 1/2 (/ (- 54 (* 81 (/ 1 (pow (sqrt 6) 2)))) (* (pow x 4) (sqrt 6)))) (+ (* 1/2 (/ (- 162 (* 9 (/ (- 54 (* 81 (/ 1 (pow (sqrt 6) 2)))) (pow (sqrt 6) 2)))) (* (pow x 6) (sqrt 6)))) (/ 9 (* (pow x 2) (sqrt 6)))))) x))>
#<alt (* -1/3 (pow (sqrt 6) 2))>
#<alt (+ (* -1/3 (pow (sqrt 6) 2)) (* -1/9 (* (pow x 2) (pow (sqrt 6) 2))))>
#<alt (+ (* -1/3 (pow (sqrt 6) 2)) (* (pow x 2) (- (* -1/27 (* (pow x 2) (pow (sqrt 6) 2))) (* 1/9 (pow (sqrt 6) 2)))))>
#<alt (+ (* -1/3 (pow (sqrt 6) 2)) (* (pow x 2) (- (* (pow x 2) (- (* -1/81 (* (pow x 2) (pow (sqrt 6) 2))) (* 1/27 (pow (sqrt 6) 2)))) (* 1/9 (pow (sqrt 6) 2)))))>
#<alt (/ (pow (sqrt 6) 2) (pow x 2))>
#<alt (/ (+ (* 3 (/ (pow (sqrt 6) 2) (pow x 2))) (pow (sqrt 6) 2)) (pow x 2))>
#<alt (/ (- (+ (* 9 (/ (pow (sqrt 6) 2) (pow x 4))) (pow (sqrt 6) 2)) (* -3 (/ (pow (sqrt 6) 2) (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ (* 27 (/ (pow (sqrt 6) 2) (pow x 6))) (pow (sqrt 6) 2)) (+ (* -9 (/ (pow (sqrt 6) 2) (pow x 4))) (* -3 (/ (pow (sqrt 6) 2) (pow x 2))))) (pow x 2))>
#<alt (/ (pow (sqrt 6) 2) (pow x 2))>
#<alt (/ (+ (* 3 (/ (pow (sqrt 6) 2) (pow x 2))) (pow (sqrt 6) 2)) (pow x 2))>
#<alt (/ (- (+ (* 9 (/ (pow (sqrt 6) 2) (pow x 4))) (pow (sqrt 6) 2)) (* -3 (/ (pow (sqrt 6) 2) (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ (* 27 (/ (pow (sqrt 6) 2) (pow x 6))) (pow (sqrt 6) 2)) (+ (* -9 (/ (pow (sqrt 6) 2) (pow x 4))) (* -3 (/ (pow (sqrt 6) 2) (pow x 2))))) (pow x 2))>
#<alt (/ -3 (pow (sqrt 6) 2))>
#<alt (- (/ (pow x 2) (pow (sqrt 6) 2)) (* 3 (/ 1 (pow (sqrt 6) 2))))>
#<alt (- (/ (pow x 2) (pow (sqrt 6) 2)) (* 3 (/ 1 (pow (sqrt 6) 2))))>
#<alt (- (/ (pow x 2) (pow (sqrt 6) 2)) (* 3 (/ 1 (pow (sqrt 6) 2))))>
#<alt (/ (pow x 2) (pow (sqrt 6) 2))>
#<alt (* (pow x 2) (- (/ 1 (pow (sqrt 6) 2)) (* 3 (/ 1 (* (pow x 2) (pow (sqrt 6) 2))))))>
#<alt (* (pow x 2) (- (/ 1 (pow (sqrt 6) 2)) (* 3 (/ 1 (* (pow x 2) (pow (sqrt 6) 2))))))>
#<alt (* (pow x 2) (- (/ 1 (pow (sqrt 6) 2)) (* 3 (/ 1 (* (pow x 2) (pow (sqrt 6) 2))))))>
#<alt (/ (pow x 2) (pow (sqrt 6) 2))>
#<alt (* (pow x 2) (- (/ 1 (pow (sqrt 6) 2)) (* 3 (/ 1 (* (pow x 2) (pow (sqrt 6) 2))))))>
#<alt (* (pow x 2) (- (/ 1 (pow (sqrt 6) 2)) (* 3 (/ 1 (* (pow x 2) (pow (sqrt 6) 2))))))>
#<alt (* (pow x 2) (- (/ 1 (pow (sqrt 6) 2)) (* 3 (/ 1 (* (pow x 2) (pow (sqrt 6) 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 (* 1/6 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 (+ 1/2 (* 1/6 (pow x 2)))>
#<alt (+ 1/2 (* 1/6 (pow x 2)))>
#<alt (+ 1/2 (* 1/6 (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 (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)))))>
Calls

54 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(pow (/ 6 (+ (* x x) -3)) 1/2)
1.0ms
x
@0
(/ 1 (* (pow (/ 6 (+ (* x x) -3)) 1/2) (pow (/ 6 (+ (* x x) -3)) 1/2)))
0.0ms
x
@0
(pow (/ 6 (+ (* x x) -3)) 1/2)
0.0ms
x
@inf
(* (pow (/ 6 (+ (* x x) -3)) 1/2) (pow (/ 6 (+ (* x x) -3)) 1/2))
0.0ms
x
@0
(* (pow (/ 6 (+ (* x x) -3)) 1/2) (pow (/ 6 (+ (* x x) -3)) 1/2))

rewrite446.0ms (6.7%)

Memory
-10.2MiB live, 672.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
7 892×accelerator-lowering-fma.f32
7 892×accelerator-lowering-fma.f64
5 712×*-lowering-*.f32
5 712×*-lowering-*.f64
2 920×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028119
1160107
21063107
0894596
Stop Event
iter limit
node limit
Counts
18 → 1 540
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)
(/ 1 (/ 6 (* x x)))
(/ 6 (* x x))
(/ (+ (* (* x (* (* x x) 1/36)) x) -1/4) (+ (* x (* x 1/6)) 1/2))
(+ (* (* x (* (* x x) 1/36)) x) -1/4)
(* x (* (* x x) 1/36))
(* (* x x) 1/36)
(pow (/ 6 (+ (* x x) -3)) 1/2)
(* (pow (/ 6 (+ (* x x) -3)) 1/2) (pow (/ 6 (+ (* x x) -3)) 1/2))
(/ 1 (* (pow (/ 6 (+ (* x x) -3)) 1/2) (pow (/ 6 (+ (* x x) -3)) 1/2)))
(/ 6 (+ (* x x) -3))
(* x 1/6)
(+ (* x (* x 1/6)) 1/2)
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))))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1/2 binary64))) #s(literal -1/4 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1/2 binary64))) #s(literal -1/4 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))))
(+.f64 (*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))) (*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))))
(+.f64 (*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))) (*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))))
(+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) (*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1/2 binary64)))))
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(*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/36 binary64) #s(literal 1/4 binary64)) (/.f64 #s(literal -6 binary64) (fma.f64 x x #s(literal -3 binary64))))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal 1/12 binary64))))))
(*.f64 (fma.f64 (*.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 1/46656 binary64) #s(literal -1/64 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1296 binary64))) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/144 binary64))))) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64)))))
(*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1296 binary64))) #s(literal -1/16 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/36 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64)))))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/36 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1/2 binary64)))))
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/216 binary64) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/36 binary64) (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))))))
(*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/36 binary64) #s(literal -1/4 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/36 binary64) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1/2 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.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 1/46656 binary64) #s(literal -1/64 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1296 binary64))) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/144 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1/2 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.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 1/46656 binary64) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1296 binary64))) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/144 binary64))))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (fma.f64 (*.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 1/46656 binary64) #s(literal -1/64 binary64)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/36 binary64) #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1296 binary64))) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/144 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1/2 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.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 1/46656 binary64) #s(literal -1/64 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1296 binary64))) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/144 binary64))))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/4 binary64))))
(*.f64 (/.f64 (fma.f64 (*.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 1/46656 binary64) #s(literal -1/64 binary64)) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/216 binary64) #s(literal 1/8 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1296 binary64))) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/144 binary64))))) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1296 binary64))) #s(literal -1/16 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/36 binary64) #s(literal -1/4 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1296 binary64))) #s(literal -1/16 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/36 binary64) #s(literal -1/4 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/4 binary64))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1296 binary64))) #s(literal -1/16 binary64)) (/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/216 binary64) #s(literal 1/8 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/36 binary64) #s(literal -1/4 binary64))) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/4 binary64))))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (fma.f64 (*.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 1/46656 binary64) #s(literal -1/64 binary64)))) (fma.f64 x (*.f64 x (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1296 binary64))) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/144 binary64)))))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal 1/4 binary64)))

simplify372.0ms (5.6%)

Memory
-8.1MiB live, 624.6MiB allocated
Algorithm
egg-herbie
Rules
10 142×accelerator-lowering-fma.f32
10 142×accelerator-lowering-fma.f64
4 722×*-lowering-*.f32
4 722×*-lowering-*.f64
2 766×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02121714
15311608
215791605
335291600
082361514
Stop Event
iter limit
node limit
Counts
216 → 216
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))
(/ 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)))))
-1/4
(- (* 1/36 (pow x 4)) 1/4)
(- (* 1/36 (pow x 4)) 1/4)
(- (* 1/36 (pow x 4)) 1/4)
(* 1/36 (pow x 4))
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))
(* 1/36 (pow x 4))
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))
(* 1/36 (pow x 3))
(* 1/36 (pow x 3))
(* 1/36 (pow x 3))
(* 1/36 (pow x 3))
(* 1/36 (pow x 3))
(* 1/36 (pow x 3))
(* 1/36 (pow x 3))
(* 1/36 (pow x 3))
(* 1/36 (pow x 3))
(* 1/36 (pow x 3))
(* 1/36 (pow x 3))
(* 1/36 (pow x 3))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(sqrt -2)
(+ (sqrt -2) (* -1/3 (/ (pow x 2) (sqrt -2))))
(+ (sqrt -2) (* (pow x 2) (- (* -1/2 (/ (* (pow x 2) (+ 2/9 (* 1/9 (/ 1 (pow (sqrt -2) 2))))) (sqrt -2))) (* 1/3 (/ 1 (sqrt -2))))))
(+ (sqrt -2) (* (pow x 2) (- (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (+ 2/27 (* 1/3 (/ (+ 2/9 (* 1/9 (/ 1 (pow (sqrt -2) 2)))) (pow (sqrt -2) 2))))) (sqrt -2))) (* -1/2 (/ (+ 2/9 (* 1/9 (/ 1 (pow (sqrt -2) 2)))) (sqrt -2))))) (* 1/3 (/ 1 (sqrt -2))))))
(/ (sqrt 6) x)
(/ (+ (sqrt 6) (* 9 (/ 1 (* (pow x 2) (sqrt 6))))) x)
(/ (+ (sqrt 6) (+ (* 1/2 (/ (- 54 (* 81 (/ 1 (pow (sqrt 6) 2)))) (* (pow x 4) (sqrt 6)))) (/ 9 (* (pow x 2) (sqrt 6))))) x)
(/ (+ (sqrt 6) (+ (* 1/2 (/ (- 54 (* 81 (/ 1 (pow (sqrt 6) 2)))) (* (pow x 4) (sqrt 6)))) (+ (* 1/2 (/ (- 162 (* 9 (/ (- 54 (* 81 (/ 1 (pow (sqrt 6) 2)))) (pow (sqrt 6) 2)))) (* (pow x 6) (sqrt 6)))) (/ 9 (* (pow x 2) (sqrt 6)))))) x)
(* -1 (/ (sqrt 6) x))
(* -1 (/ (+ (sqrt 6) (* 9 (/ 1 (* (pow x 2) (sqrt 6))))) x))
(* -1 (/ (+ (sqrt 6) (+ (* 1/2 (/ (- 54 (* 81 (/ 1 (pow (sqrt 6) 2)))) (* (pow x 4) (sqrt 6)))) (/ 9 (* (pow x 2) (sqrt 6))))) x))
(* -1 (/ (+ (sqrt 6) (+ (* 1/2 (/ (- 54 (* 81 (/ 1 (pow (sqrt 6) 2)))) (* (pow x 4) (sqrt 6)))) (+ (* 1/2 (/ (- 162 (* 9 (/ (- 54 (* 81 (/ 1 (pow (sqrt 6) 2)))) (pow (sqrt 6) 2)))) (* (pow x 6) (sqrt 6)))) (/ 9 (* (pow x 2) (sqrt 6)))))) x))
(* -1/3 (pow (sqrt 6) 2))
(+ (* -1/3 (pow (sqrt 6) 2)) (* -1/9 (* (pow x 2) (pow (sqrt 6) 2))))
(+ (* -1/3 (pow (sqrt 6) 2)) (* (pow x 2) (- (* -1/27 (* (pow x 2) (pow (sqrt 6) 2))) (* 1/9 (pow (sqrt 6) 2)))))
(+ (* -1/3 (pow (sqrt 6) 2)) (* (pow x 2) (- (* (pow x 2) (- (* -1/81 (* (pow x 2) (pow (sqrt 6) 2))) (* 1/27 (pow (sqrt 6) 2)))) (* 1/9 (pow (sqrt 6) 2)))))
(/ (pow (sqrt 6) 2) (pow x 2))
(/ (+ (* 3 (/ (pow (sqrt 6) 2) (pow x 2))) (pow (sqrt 6) 2)) (pow x 2))
(/ (- (+ (* 9 (/ (pow (sqrt 6) 2) (pow x 4))) (pow (sqrt 6) 2)) (* -3 (/ (pow (sqrt 6) 2) (pow x 2)))) (pow x 2))
(/ (- (+ (* 27 (/ (pow (sqrt 6) 2) (pow x 6))) (pow (sqrt 6) 2)) (+ (* -9 (/ (pow (sqrt 6) 2) (pow x 4))) (* -3 (/ (pow (sqrt 6) 2) (pow x 2))))) (pow x 2))
(/ (pow (sqrt 6) 2) (pow x 2))
(/ (+ (* 3 (/ (pow (sqrt 6) 2) (pow x 2))) (pow (sqrt 6) 2)) (pow x 2))
(/ (- (+ (* 9 (/ (pow (sqrt 6) 2) (pow x 4))) (pow (sqrt 6) 2)) (* -3 (/ (pow (sqrt 6) 2) (pow x 2)))) (pow x 2))
(/ (- (+ (* 27 (/ (pow (sqrt 6) 2) (pow x 6))) (pow (sqrt 6) 2)) (+ (* -9 (/ (pow (sqrt 6) 2) (pow x 4))) (* -3 (/ (pow (sqrt 6) 2) (pow x 2))))) (pow x 2))
(/ -3 (pow (sqrt 6) 2))
(- (/ (pow x 2) (pow (sqrt 6) 2)) (* 3 (/ 1 (pow (sqrt 6) 2))))
(- (/ (pow x 2) (pow (sqrt 6) 2)) (* 3 (/ 1 (pow (sqrt 6) 2))))
(- (/ (pow x 2) (pow (sqrt 6) 2)) (* 3 (/ 1 (pow (sqrt 6) 2))))
(/ (pow x 2) (pow (sqrt 6) 2))
(* (pow x 2) (- (/ 1 (pow (sqrt 6) 2)) (* 3 (/ 1 (* (pow x 2) (pow (sqrt 6) 2))))))
(* (pow x 2) (- (/ 1 (pow (sqrt 6) 2)) (* 3 (/ 1 (* (pow x 2) (pow (sqrt 6) 2))))))
(* (pow x 2) (- (/ 1 (pow (sqrt 6) 2)) (* 3 (/ 1 (* (pow x 2) (pow (sqrt 6) 2))))))
(/ (pow x 2) (pow (sqrt 6) 2))
(* (pow x 2) (- (/ 1 (pow (sqrt 6) 2)) (* 3 (/ 1 (* (pow x 2) (pow (sqrt 6) 2))))))
(* (pow x 2) (- (/ 1 (pow (sqrt 6) 2)) (* 3 (/ 1 (* (pow x 2) (pow (sqrt 6) 2))))))
(* (pow x 2) (- (/ 1 (pow (sqrt 6) 2)) (* 3 (/ 1 (* (pow x 2) (pow (sqrt 6) 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))
(* 1/6 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
(+ 1/2 (* 1/6 (pow x 2)))
(+ 1/2 (* 1/6 (pow x 2)))
(+ 1/2 (* 1/6 (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 (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)))))
Outputs
-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))
-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 (*.f64 x 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 (/.f64 #s(literal 18 binary64) (*.f64 x x)) #s(literal 6 binary64)) (*.f64 x x))
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (/ 54 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 54 binary64) (*.f64 x (*.f64 x (*.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 (/.f64 #s(literal 54 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 162 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) #s(literal 6 binary64)))) (*.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 (/.f64 #s(literal 18 binary64) (*.f64 x x)) #s(literal 6 binary64)) (*.f64 x x))
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (/ 54 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 54 binary64) (*.f64 x (*.f64 x (*.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 (/.f64 #s(literal 54 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 162 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) #s(literal 6 binary64)))) (*.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 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x x))) (/.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x))
(/ (+ 1 (+ (* 3 (/ 1 (pow x 2))) (+ (* 27 (/ 1 (pow x 6))) (/ 9 (pow x 4))))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.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) (pow.f64 x #s(literal 6 binary64)))))) (*.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 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x x))) (/.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x))
(/ (+ 1 (+ (* 3 (/ 1 (pow x 2))) (+ (* 27 (/ 1 (pow x 6))) (/ 9 (pow x 4))))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.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) (pow.f64 x #s(literal 6 binary64)))))) (*.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 (*.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 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)
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(/ 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 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))
-1/4
#s(literal -1/4 binary64)
(- (* 1/36 (pow x 4)) 1/4)
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64))
(- (* 1/36 (pow x 4)) 1/4)
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64))
(- (* 1/36 (pow x 4)) 1/4)
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64))
(* 1/36 (pow x 4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64))
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64))
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64))
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64))
(* 1/36 (pow x 4))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64))
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64))
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64))
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64))
(* 1/36 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))
(* 1/36 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))
(* 1/36 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))
(* 1/36 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))
(* 1/36 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))
(* 1/36 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))
(* 1/36 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))
(* 1/36 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))
(* 1/36 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))
(* 1/36 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))
(* 1/36 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))
(* 1/36 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))
(* 1/36 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/36 binary64))
(* 1/36 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/36 binary64))
(* 1/36 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/36 binary64))
(* 1/36 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/36 binary64))
(* 1/36 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/36 binary64))
(* 1/36 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/36 binary64))
(* 1/36 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/36 binary64))
(* 1/36 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/36 binary64))
(* 1/36 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/36 binary64))
(* 1/36 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/36 binary64))
(* 1/36 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/36 binary64))
(* 1/36 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/36 binary64))
(sqrt -2)
(sqrt.f64 #s(literal -2 binary64))
(+ (sqrt -2) (* -1/3 (/ (pow x 2) (sqrt -2))))
(fma.f64 x (*.f64 x (/.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal -2 binary64)))) (sqrt.f64 #s(literal -2 binary64)))
(+ (sqrt -2) (* (pow x 2) (- (* -1/2 (/ (* (pow x 2) (+ 2/9 (* 1/9 (/ 1 (pow (sqrt -2) 2))))) (sqrt -2))) (* 1/3 (/ 1 (sqrt -2))))))
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 #s(literal -1/12 binary64) (sqrt.f64 #s(literal -2 binary64)))) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal -2 binary64)))) (sqrt.f64 #s(literal -2 binary64)))
(+ (sqrt -2) (* (pow x 2) (- (* (pow x 2) (+ (* -1/2 (/ (* (pow x 2) (+ 2/27 (* 1/3 (/ (+ 2/9 (* 1/9 (/ 1 (pow (sqrt -2) 2)))) (pow (sqrt -2) 2))))) (sqrt -2))) (* -1/2 (/ (+ 2/9 (* 1/9 (/ 1 (pow (sqrt -2) 2)))) (sqrt -2))))) (* 1/3 (/ 1 (sqrt -2))))))
(fma.f64 (*.f64 x x) (fma.f64 (/.f64 (*.f64 x x) (sqrt.f64 #s(literal -2 binary64))) (fma.f64 (*.f64 x x) #s(literal -5/216 binary64) #s(literal -1/12 binary64)) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal -2 binary64)))) (sqrt.f64 #s(literal -2 binary64)))
(/ (sqrt 6) x)
(/.f64 (sqrt.f64 #s(literal 6 binary64)) x)
(/ (+ (sqrt 6) (* 9 (/ 1 (* (pow x 2) (sqrt 6))))) x)
(/.f64 (+.f64 (sqrt.f64 #s(literal 6 binary64)) (/.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x (sqrt.f64 #s(literal 6 binary64)))))) x)
(/ (+ (sqrt 6) (+ (* 1/2 (/ (- 54 (* 81 (/ 1 (pow (sqrt 6) 2)))) (* (pow x 4) (sqrt 6)))) (/ 9 (* (pow x 2) (sqrt 6))))) x)
(/.f64 (+.f64 (+.f64 (sqrt.f64 #s(literal 6 binary64)) (/.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x (sqrt.f64 #s(literal 6 binary64)))))) (/.f64 #s(literal 81/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (sqrt.f64 #s(literal 6 binary64))))) x)
(/ (+ (sqrt 6) (+ (* 1/2 (/ (- 54 (* 81 (/ 1 (pow (sqrt 6) 2)))) (* (pow x 4) (sqrt 6)))) (+ (* 1/2 (/ (- 162 (* 9 (/ (- 54 (* 81 (/ 1 (pow (sqrt 6) 2)))) (pow (sqrt 6) 2)))) (* (pow x 6) (sqrt 6)))) (/ 9 (* (pow x 2) (sqrt 6)))))) x)
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 81/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 405/4 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (sqrt.f64 #s(literal 6 binary64)) (/.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x (sqrt.f64 #s(literal 6 binary64))))))) x)
(* -1 (/ (sqrt 6) x))
(neg.f64 (/.f64 (sqrt.f64 #s(literal 6 binary64)) x))
(* -1 (/ (+ (sqrt 6) (* 9 (/ 1 (* (pow x 2) (sqrt 6))))) x))
(/.f64 (-.f64 (/.f64 #s(literal -9 binary64) (*.f64 x (*.f64 x (sqrt.f64 #s(literal 6 binary64))))) (sqrt.f64 #s(literal 6 binary64))) x)
(* -1 (/ (+ (sqrt 6) (+ (* 1/2 (/ (- 54 (* 81 (/ 1 (pow (sqrt 6) 2)))) (* (pow x 4) (sqrt 6)))) (/ 9 (* (pow x 2) (sqrt 6))))) x))
(/.f64 (+.f64 (-.f64 (/.f64 #s(literal -9 binary64) (*.f64 x (*.f64 x (sqrt.f64 #s(literal 6 binary64))))) (sqrt.f64 #s(literal 6 binary64))) (/.f64 #s(literal -81/4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (sqrt.f64 #s(literal 6 binary64))))) x)
(* -1 (/ (+ (sqrt 6) (+ (* 1/2 (/ (- 54 (* 81 (/ 1 (pow (sqrt 6) 2)))) (* (pow x 4) (sqrt 6)))) (+ (* 1/2 (/ (- 162 (* 9 (/ (- 54 (* 81 (/ 1 (pow (sqrt 6) 2)))) (pow (sqrt 6) 2)))) (* (pow x 6) (sqrt 6)))) (/ 9 (* (pow x 2) (sqrt 6)))))) x))
(/.f64 (-.f64 (/.f64 #s(literal -9 binary64) (*.f64 x (*.f64 x (sqrt.f64 #s(literal 6 binary64))))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 81/2 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 405/4 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 #s(literal 6 binary64)))) x)
(* -1/3 (pow (sqrt 6) 2))
#s(literal -2 binary64)
(+ (* -1/3 (pow (sqrt 6) 2)) (* -1/9 (* (pow x 2) (pow (sqrt 6) 2))))
(fma.f64 x (*.f64 x #s(literal -2/3 binary64)) #s(literal -2 binary64))
(+ (* -1/3 (pow (sqrt 6) 2)) (* (pow x 2) (- (* -1/27 (* (pow x 2) (pow (sqrt 6) 2))) (* 1/9 (pow (sqrt 6) 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))
(+ (* -1/3 (pow (sqrt 6) 2)) (* (pow x 2) (- (* (pow x 2) (- (* -1/81 (* (pow x 2) (pow (sqrt 6) 2))) (* 1/27 (pow (sqrt 6) 2)))) (* 1/9 (pow (sqrt 6) 2)))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x 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))
(/ (pow (sqrt 6) 2) (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ (+ (* 3 (/ (pow (sqrt 6) 2) (pow x 2))) (pow (sqrt 6) 2)) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) #s(literal 6 binary64)) (*.f64 x x))
(/ (- (+ (* 9 (/ (pow (sqrt 6) 2) (pow x 4))) (pow (sqrt 6) 2)) (* -3 (/ (pow (sqrt 6) 2) (pow x 2)))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 54 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 6 binary64))) (*.f64 x x))
(/ (- (+ (* 27 (/ (pow (sqrt 6) 2) (pow x 6))) (pow (sqrt 6) 2)) (+ (* -9 (/ (pow (sqrt 6) 2) (pow x 4))) (* -3 (/ (pow (sqrt 6) 2) (pow x 2))))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 54 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 162 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) #s(literal 6 binary64)))) (*.f64 x x))
(/ (pow (sqrt 6) 2) (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ (+ (* 3 (/ (pow (sqrt 6) 2) (pow x 2))) (pow (sqrt 6) 2)) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) #s(literal 6 binary64)) (*.f64 x x))
(/ (- (+ (* 9 (/ (pow (sqrt 6) 2) (pow x 4))) (pow (sqrt 6) 2)) (* -3 (/ (pow (sqrt 6) 2) (pow x 2)))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 54 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 6 binary64))) (*.f64 x x))
(/ (- (+ (* 27 (/ (pow (sqrt 6) 2) (pow x 6))) (pow (sqrt 6) 2)) (+ (* -9 (/ (pow (sqrt 6) 2) (pow x 4))) (* -3 (/ (pow (sqrt 6) 2) (pow x 2))))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 54 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 162 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) #s(literal 6 binary64)))) (*.f64 x x))
(/ -3 (pow (sqrt 6) 2))
#s(literal -1/2 binary64)
(- (/ (pow x 2) (pow (sqrt 6) 2)) (* 3 (/ 1 (pow (sqrt 6) 2))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(- (/ (pow x 2) (pow (sqrt 6) 2)) (* 3 (/ 1 (pow (sqrt 6) 2))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(- (/ (pow x 2) (pow (sqrt 6) 2)) (* 3 (/ 1 (pow (sqrt 6) 2))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(/ (pow x 2) (pow (sqrt 6) 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (- (/ 1 (pow (sqrt 6) 2)) (* 3 (/ 1 (* (pow x 2) (pow (sqrt 6) 2))))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- (/ 1 (pow (sqrt 6) 2)) (* 3 (/ 1 (* (pow x 2) (pow (sqrt 6) 2))))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- (/ 1 (pow (sqrt 6) 2)) (* 3 (/ 1 (* (pow x 2) (pow (sqrt 6) 2))))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(/ (pow x 2) (pow (sqrt 6) 2))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (- (/ 1 (pow (sqrt 6) 2)) (* 3 (/ 1 (* (pow x 2) (pow (sqrt 6) 2))))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- (/ 1 (pow (sqrt 6) 2)) (* 3 (/ 1 (* (pow x 2) (pow (sqrt 6) 2))))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- (/ 1 (pow (sqrt 6) 2)) (* 3 (/ 1 (* (pow x 2) (pow (sqrt 6) 2))))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #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 (*.f64 x 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 (/.f64 #s(literal 18 binary64) (*.f64 x x)) #s(literal 6 binary64)) (*.f64 x x))
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (/ 54 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 54 binary64) (*.f64 x (*.f64 x (*.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 (/.f64 #s(literal 54 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 162 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) #s(literal 6 binary64)))) (*.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 (/.f64 #s(literal 18 binary64) (*.f64 x x)) #s(literal 6 binary64)) (*.f64 x x))
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (/ 54 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 54 binary64) (*.f64 x (*.f64 x (*.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 (/.f64 #s(literal 54 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 162 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) #s(literal 6 binary64)))) (*.f64 x 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))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (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))
(* 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))

eval289.0ms (4.3%)

Memory
20.8MiB live, 672.5MiB allocated
Compiler

Compiled 60 806 to 4 236 computations (93% saved)

prune387.0ms (5.8%)

Memory
5.7MiB live, 435.8MiB allocated
Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New2 21152 216
Fresh213
Picked415
Done033
Total2 217102 227
Accuracy
100.0%
Counts
2 227 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
99.9%
(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))
51.9%
(/.f64 (*.f64 x x) #s(literal 6 binary64))
51.8%
(/.f64 x (/.f64 #s(literal 6 binary64) x))
51.8%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 6 binary64) x) (/.f64 #s(literal 1 binary64) x)))
98.9%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) (*.f64 (sqrt.f64 #s(literal 6 binary64)) (sqrt.f64 #s(literal 6 binary64)))))
51.8%
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
51.8%
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
50.9%
(*.f64 (sqrt.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (sqrt.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
48.1%
#s(literal -1/2 binary64)
Compiler

Compiled 140 to 88 computations (37.1% saved)

simplify14.0ms (0.2%)

Memory
13.8MiB live, 13.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
(/.f64 #s(literal 6 binary64) x)
cost-diff704
(*.f64 (/.f64 #s(literal 6 binary64) x) (/.f64 #s(literal 1 binary64) x))
cost-diff1088
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 6 binary64) x) (/.f64 #s(literal 1 binary64) x)))
cost-diff0
(/.f64 #s(literal 6 binary64) x)
cost-diff768
(/.f64 x (/.f64 #s(literal 6 binary64) x))
cost-diff0
(*.f64 x x)
cost-diff384
(/.f64 (*.f64 x x) #s(literal 6 binary64))
cost-diff0
(*.f64 x #s(literal 1/6 binary64))
cost-diff0
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
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))) (*.f64 (sqrt.f64 #s(literal 6 binary64)) (sqrt.f64 #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))) (*.f64 (sqrt.f64 #s(literal 6 binary64)) (sqrt.f64 #s(literal 6 binary64)))))
cost-diff1600
(*.f64 (sqrt.f64 #s(literal 6 binary64)) (sqrt.f64 #s(literal 6 binary64)))
Rules
184×*-lowering-*.f32
184×*-lowering-*.f64
136×/-lowering-/.f32
136×/-lowering-/.f64
92×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02086
14582
27382
313782
422282
531882
638782
742382
842982
042978
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ 1 (* (/ 1 (+ (* x x) -3)) (* (sqrt 6) (sqrt 6))))
1
(* (/ 1 (+ (* x x) -3)) (* (sqrt 6) (sqrt 6)))
(/ 1 (+ (* x x) -3))
(+ (* x x) -3)
x
-3
(* (sqrt 6) (sqrt 6))
(sqrt 6)
6
(* (* x 1/6) x)
(* x 1/6)
x
1/6
(/ (* x x) 6)
(* x x)
x
6
(/ x (/ 6 x))
x
(/ 6 x)
6
(/ 1 (* (/ 6 x) (/ 1 x)))
1
(* (/ 6 x) (/ 1 x))
(/ 6 x)
6
x
(/ 1 x)
Outputs
(/ 1 (* (/ 1 (+ (* x x) -3)) (* (sqrt 6) (sqrt 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)) (* (sqrt 6) (sqrt 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)
(* (sqrt 6) (sqrt 6))
#s(literal 6 binary64)
(sqrt 6)
(sqrt.f64 #s(literal 6 binary64))
6
#s(literal 6 binary64)
(* (* x 1/6) x)
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(* x 1/6)
(*.f64 x #s(literal 1/6 binary64))
x
1/6
#s(literal 1/6 binary64)
(/ (* x x) 6)
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(* x x)
(*.f64 x x)
x
6
#s(literal 6 binary64)
(/ 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)
(/ 1 (* (/ 6 x) (/ 1 x)))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
1
#s(literal 1 binary64)
(* (/ 6 x) (/ 1 x))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
6
#s(literal 6 binary64)
x
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)

localize81.0ms (1.2%)

Memory
-5.4MiB live, 95.6MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 #s(literal 6 binary64) x)
accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
accuracy99.8%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 6 binary64) x) (/.f64 #s(literal 1 binary64) x)))
accuracy99.7%
(*.f64 (/.f64 #s(literal 6 binary64) x) (/.f64 #s(literal 1 binary64) x))
accuracy100.0%
(/.f64 #s(literal 6 binary64) x)
accuracy99.8%
(/.f64 x (/.f64 #s(literal 6 binary64) x))
accuracy100.0%
(*.f64 x x)
accuracy99.8%
(/.f64 (*.f64 x x) #s(literal 6 binary64))
accuracy99.8%
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
accuracy99.5%
(*.f64 x #s(literal 1/6 binary64))
accuracy99.9%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) (*.f64 (sqrt.f64 #s(literal 6 binary64)) (sqrt.f64 #s(literal 6 binary64)))))
accuracy99.8%
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) (*.f64 (sqrt.f64 #s(literal 6 binary64)) (sqrt.f64 #s(literal 6 binary64))))
accuracy99.5%
(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64)))
accuracy98.4%
(*.f64 (sqrt.f64 #s(literal 6 binary64)) (sqrt.f64 #s(literal 6 binary64)))
Samples
53.0ms256×0valid
Compiler

Compiled 104 to 22 computations (78.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-div: 11.0ms (41.2% of total)
ival-mult: 8.0ms (29.9% of total)
const: 4.0ms (15% of total)
ival-sqrt: 2.0ms (7.5% of total)
ival-add: 1.0ms (3.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0%)

Memory
5.7MiB live, 5.7MiB allocated
Counts
13 → 144
Calls
Call 1
Inputs
#<alt (* (sqrt 6) (sqrt 6))>
#<alt (/ 1 (* (/ 1 (+ (* x x) -3)) (* (sqrt 6) (sqrt 6))))>
#<alt (* (/ 1 (+ (* x x) -3)) (* (sqrt 6) (sqrt 6)))>
#<alt (/ 1 (+ (* x x) -3))>
#<alt (* (* x 1/6) x)>
#<alt (* x 1/6)>
#<alt (/ (* x x) 6)>
#<alt (* x x)>
#<alt (/ x (/ 6 x))>
#<alt (/ 6 x)>
#<alt (/ 1 (* (/ 6 x) (/ 1 x)))>
#<alt (* (/ 6 x) (/ 1 x))>
#<alt (/ 1 x)>
Outputs
#<alt (/ -3 (pow (sqrt 6) 2))>
#<alt (- (/ (pow x 2) (pow (sqrt 6) 2)) (* 3 (/ 1 (pow (sqrt 6) 2))))>
#<alt (- (/ (pow x 2) (pow (sqrt 6) 2)) (* 3 (/ 1 (pow (sqrt 6) 2))))>
#<alt (- (/ (pow x 2) (pow (sqrt 6) 2)) (* 3 (/ 1 (pow (sqrt 6) 2))))>
#<alt (/ (pow x 2) (pow (sqrt 6) 2))>
#<alt (* (pow x 2) (- (/ 1 (pow (sqrt 6) 2)) (* 3 (/ 1 (* (pow x 2) (pow (sqrt 6) 2))))))>
#<alt (* (pow x 2) (- (/ 1 (pow (sqrt 6) 2)) (* 3 (/ 1 (* (pow x 2) (pow (sqrt 6) 2))))))>
#<alt (* (pow x 2) (- (/ 1 (pow (sqrt 6) 2)) (* 3 (/ 1 (* (pow x 2) (pow (sqrt 6) 2))))))>
#<alt (/ (pow x 2) (pow (sqrt 6) 2))>
#<alt (* (pow x 2) (- (/ 1 (pow (sqrt 6) 2)) (* 3 (/ 1 (* (pow x 2) (pow (sqrt 6) 2))))))>
#<alt (* (pow x 2) (- (/ 1 (pow (sqrt 6) 2)) (* 3 (/ 1 (* (pow x 2) (pow (sqrt 6) 2))))))>
#<alt (* (pow x 2) (- (/ 1 (pow (sqrt 6) 2)) (* 3 (/ 1 (* (pow x 2) (pow (sqrt 6) 2))))))>
#<alt (* -1/3 (pow (sqrt 6) 2))>
#<alt (+ (* -1/3 (pow (sqrt 6) 2)) (* -1/9 (* (pow x 2) (pow (sqrt 6) 2))))>
#<alt (+ (* -1/3 (pow (sqrt 6) 2)) (* (pow x 2) (- (* -1/27 (* (pow x 2) (pow (sqrt 6) 2))) (* 1/9 (pow (sqrt 6) 2)))))>
#<alt (+ (* -1/3 (pow (sqrt 6) 2)) (* (pow x 2) (- (* (pow x 2) (- (* -1/81 (* (pow x 2) (pow (sqrt 6) 2))) (* 1/27 (pow (sqrt 6) 2)))) (* 1/9 (pow (sqrt 6) 2)))))>
#<alt (/ (pow (sqrt 6) 2) (pow x 2))>
#<alt (/ (+ (* 3 (/ (pow (sqrt 6) 2) (pow x 2))) (pow (sqrt 6) 2)) (pow x 2))>
#<alt (/ (- (+ (* 9 (/ (pow (sqrt 6) 2) (pow x 4))) (pow (sqrt 6) 2)) (* -3 (/ (pow (sqrt 6) 2) (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ (* 27 (/ (pow (sqrt 6) 2) (pow x 6))) (pow (sqrt 6) 2)) (+ (* -9 (/ (pow (sqrt 6) 2) (pow x 4))) (* -3 (/ (pow (sqrt 6) 2) (pow x 2))))) (pow x 2))>
#<alt (/ (pow (sqrt 6) 2) (pow x 2))>
#<alt (/ (+ (* 3 (/ (pow (sqrt 6) 2) (pow x 2))) (pow (sqrt 6) 2)) (pow x 2))>
#<alt (/ (- (+ (* 9 (/ (pow (sqrt 6) 2) (pow x 4))) (pow (sqrt 6) 2)) (* -3 (/ (pow (sqrt 6) 2) (pow x 2)))) (pow x 2))>
#<alt (/ (- (+ (* 27 (/ (pow (sqrt 6) 2) (pow x 6))) (pow (sqrt 6) 2)) (+ (* -9 (/ (pow (sqrt 6) 2) (pow x 4))) (* -3 (/ (pow (sqrt 6) 2) (pow x 2))))) (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 (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (* 1/6 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* 1/6 (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)>
#<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 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
Calls

36 calls:

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

rewrite236.0ms (3.5%)

Memory
-6.3MiB live, 386.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
2 734×/-lowering-/.f32
2 734×/-lowering-/.f64
2 698×*-lowering-*.f32
2 698×*-lowering-*.f64
1 958×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02061
110859
254559
3317359
0958556
Stop Event
iter limit
node limit
Counts
13 → 673
Calls
Call 1
Inputs
(* (sqrt 6) (sqrt 6))
(/ 1 (* (/ 1 (+ (* x x) -3)) (* (sqrt 6) (sqrt 6))))
(* (/ 1 (+ (* x x) -3)) (* (sqrt 6) (sqrt 6)))
(/ 1 (+ (* x x) -3))
(* (* x 1/6) x)
(* x 1/6)
(/ (* x x) 6)
(* x x)
(/ x (/ 6 x))
(/ 6 x)
(/ 1 (* (/ 6 x) (/ 1 x)))
(* (/ 6 x) (/ 1 x))
(/ 1 x)
Outputs
#s(literal 6 binary64)
(+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(exp.f64 (log.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 6 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -3 binary64))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.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)))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 6 binary64))) #s(literal -1 binary64) (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 6 binary64)) (fma.f64 x x #s(literal -3 binary64)))) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (neg.f64 (log.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))) #s(literal -1/2 binary64) (*.f64 (neg.f64 (log.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))) #s(literal -1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 6 binary64)) (fma.f64 x x #s(literal -3 binary64)))) #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 6 binary64))) #s(literal -1 binary64))))
(exp.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 6 binary64))) #s(literal -1 binary64)) (log.f64 (/.f64 (sqrt.f64 #s(literal 6 binary64)) (fma.f64 x x #s(literal -3 binary64))))))
(exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 #s(literal 6 binary64)) (fma.f64 x x #s(literal -3 binary64)))) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 #s(literal 6 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 (*.f64 x 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 (*.f64 x x) #s(literal 1/6 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 #s(literal -1 binary64) (*.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 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 6 binary64))) x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 6 binary64))) x) #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 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1 binary64) #s(literal -1/2 binary64))
(fma.f64 (sqrt.f64 x) (/.f64 (*.f64 x #s(literal 1/6 binary64)) (pow.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64))
(fma.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64))
(fma.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/2 binary64))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal -1/2 binary64))) #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 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 6 binary64)) (/.f64 (fma.f64 x x #s(literal -3 binary64)) (sqrt.f64 #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 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 #s(literal 6 binary64)) (/.f64 (fma.f64 x x #s(literal -3 binary64)) (sqrt.f64 #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 x x #s(literal -3 binary64)) #s(literal 6 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) (fma.f64 x x #s(literal -3 binary64))))
(/.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal -6 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 6 binary64))) (/.f64 (sqrt.f64 #s(literal 6 binary64)) (fma.f64 x x #s(literal -3 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 (*.f64 x (*.f64 x x))) #s(literal 27 binary64)) (neg.f64 (*.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)) (neg.f64 (*.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 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 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 x) #s(literal -9 binary64))) (neg.f64 (*.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64))) (neg.f64 (*.f64 #s(literal -6 binary64) (fma.f64 x x #s(literal -3 binary64)))))
(/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 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) (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 -1 binary64))
(/.f64 (/.f64 (fma.f64 x x #s(literal -3 binary64)) (sqrt.f64 #s(literal 6 binary64))) (sqrt.f64 #s(literal 6 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 9 binary64))) (neg.f64 (*.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64)))))
(/.f64 (neg.f64 (/.f64 (fma.f64 x x #s(literal -3 binary64)) (sqrt.f64 #s(literal 6 binary64)))) (neg.f64 (sqrt.f64 #s(literal 6 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 27 binary64))) (neg.f64 (*.f64 #s(literal -6 binary64) (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))) (neg.f64 (*.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 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)))) (neg.f64 (*.f64 #s(literal -6 binary64) (fma.f64 x x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -9 binary64)))) (neg.f64 (*.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 (*.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 (fma.f64 x x #s(literal 3 binary64)) #s(literal 1/6 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))) (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) (neg.f64 (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) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 9 binary64))) (fma.f64 x x #s(literal -3 binary64)))
(/.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -3 binary64)) (sqrt.f64 #s(literal 6 binary64))) #s(literal 1 binary64)) (sqrt.f64 #s(literal 6 binary64)))
(/.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 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 (neg.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 x) (*.f64 x x) #s(literal 9 binary64)) #s(literal 1/6 binary64)) (fma.f64 x x #s(literal -3 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 6 binary64)) (fma.f64 x x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 #s(literal 6 binary64))))
(/.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) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 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)))
(/.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -3 binary64)) (sqrt.f64 #s(literal 6 binary64))) (pow.f64 #s(literal 6 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 6 binary64) #s(literal 1/4 binary64)))
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(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal -1/2 binary64) (*.f64 (log.f64 x) #s(literal -1/2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x))
(neg.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) x)
(pow.f64 x #s(literal -1 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))

simplify429.0ms (6.4%)

Memory
-17.3MiB live, 522.3MiB allocated
Algorithm
egg-herbie
Rules
16 580×accelerator-lowering-fma.f32
16 580×accelerator-lowering-fma.f64
4 374×*-lowering-*.f32
4 374×*-lowering-*.f64
1 970×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0961111
1211846
2570846
31404846
44169822
56960822
08089801
Stop Event
iter limit
node limit
Counts
144 → 144
Calls
Call 1
Inputs
(/ -3 (pow (sqrt 6) 2))
(- (/ (pow x 2) (pow (sqrt 6) 2)) (* 3 (/ 1 (pow (sqrt 6) 2))))
(- (/ (pow x 2) (pow (sqrt 6) 2)) (* 3 (/ 1 (pow (sqrt 6) 2))))
(- (/ (pow x 2) (pow (sqrt 6) 2)) (* 3 (/ 1 (pow (sqrt 6) 2))))
(/ (pow x 2) (pow (sqrt 6) 2))
(* (pow x 2) (- (/ 1 (pow (sqrt 6) 2)) (* 3 (/ 1 (* (pow x 2) (pow (sqrt 6) 2))))))
(* (pow x 2) (- (/ 1 (pow (sqrt 6) 2)) (* 3 (/ 1 (* (pow x 2) (pow (sqrt 6) 2))))))
(* (pow x 2) (- (/ 1 (pow (sqrt 6) 2)) (* 3 (/ 1 (* (pow x 2) (pow (sqrt 6) 2))))))
(/ (pow x 2) (pow (sqrt 6) 2))
(* (pow x 2) (- (/ 1 (pow (sqrt 6) 2)) (* 3 (/ 1 (* (pow x 2) (pow (sqrt 6) 2))))))
(* (pow x 2) (- (/ 1 (pow (sqrt 6) 2)) (* 3 (/ 1 (* (pow x 2) (pow (sqrt 6) 2))))))
(* (pow x 2) (- (/ 1 (pow (sqrt 6) 2)) (* 3 (/ 1 (* (pow x 2) (pow (sqrt 6) 2))))))
(* -1/3 (pow (sqrt 6) 2))
(+ (* -1/3 (pow (sqrt 6) 2)) (* -1/9 (* (pow x 2) (pow (sqrt 6) 2))))
(+ (* -1/3 (pow (sqrt 6) 2)) (* (pow x 2) (- (* -1/27 (* (pow x 2) (pow (sqrt 6) 2))) (* 1/9 (pow (sqrt 6) 2)))))
(+ (* -1/3 (pow (sqrt 6) 2)) (* (pow x 2) (- (* (pow x 2) (- (* -1/81 (* (pow x 2) (pow (sqrt 6) 2))) (* 1/27 (pow (sqrt 6) 2)))) (* 1/9 (pow (sqrt 6) 2)))))
(/ (pow (sqrt 6) 2) (pow x 2))
(/ (+ (* 3 (/ (pow (sqrt 6) 2) (pow x 2))) (pow (sqrt 6) 2)) (pow x 2))
(/ (- (+ (* 9 (/ (pow (sqrt 6) 2) (pow x 4))) (pow (sqrt 6) 2)) (* -3 (/ (pow (sqrt 6) 2) (pow x 2)))) (pow x 2))
(/ (- (+ (* 27 (/ (pow (sqrt 6) 2) (pow x 6))) (pow (sqrt 6) 2)) (+ (* -9 (/ (pow (sqrt 6) 2) (pow x 4))) (* -3 (/ (pow (sqrt 6) 2) (pow x 2))))) (pow x 2))
(/ (pow (sqrt 6) 2) (pow x 2))
(/ (+ (* 3 (/ (pow (sqrt 6) 2) (pow x 2))) (pow (sqrt 6) 2)) (pow x 2))
(/ (- (+ (* 9 (/ (pow (sqrt 6) 2) (pow x 4))) (pow (sqrt 6) 2)) (* -3 (/ (pow (sqrt 6) 2) (pow x 2)))) (pow x 2))
(/ (- (+ (* 27 (/ (pow (sqrt 6) 2) (pow x 6))) (pow (sqrt 6) 2)) (+ (* -9 (/ (pow (sqrt 6) 2) (pow x 4))) (* -3 (/ (pow (sqrt 6) 2) (pow x 2))))) (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))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/6 (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)
(* 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 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
Outputs
(/ -3 (pow (sqrt 6) 2))
#s(literal -1/2 binary64)
(- (/ (pow x 2) (pow (sqrt 6) 2)) (* 3 (/ 1 (pow (sqrt 6) 2))))
(fma.f64 x (/.f64 x #s(literal 6 binary64)) #s(literal -1/2 binary64))
(- (/ (pow x 2) (pow (sqrt 6) 2)) (* 3 (/ 1 (pow (sqrt 6) 2))))
(fma.f64 x (/.f64 x #s(literal 6 binary64)) #s(literal -1/2 binary64))
(- (/ (pow x 2) (pow (sqrt 6) 2)) (* 3 (/ 1 (pow (sqrt 6) 2))))
(fma.f64 x (/.f64 x #s(literal 6 binary64)) #s(literal -1/2 binary64))
(/ (pow x 2) (pow (sqrt 6) 2))
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(* (pow x 2) (- (/ 1 (pow (sqrt 6) 2)) (* 3 (/ 1 (* (pow x 2) (pow (sqrt 6) 2))))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- (/ 1 (pow (sqrt 6) 2)) (* 3 (/ 1 (* (pow x 2) (pow (sqrt 6) 2))))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- (/ 1 (pow (sqrt 6) 2)) (* 3 (/ 1 (* (pow x 2) (pow (sqrt 6) 2))))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(/ (pow x 2) (pow (sqrt 6) 2))
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(* (pow x 2) (- (/ 1 (pow (sqrt 6) 2)) (* 3 (/ 1 (* (pow x 2) (pow (sqrt 6) 2))))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- (/ 1 (pow (sqrt 6) 2)) (* 3 (/ 1 (* (pow x 2) (pow (sqrt 6) 2))))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(* (pow x 2) (- (/ 1 (pow (sqrt 6) 2)) (* 3 (/ 1 (* (pow x 2) (pow (sqrt 6) 2))))))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(* -1/3 (pow (sqrt 6) 2))
#s(literal -2 binary64)
(+ (* -1/3 (pow (sqrt 6) 2)) (* -1/9 (* (pow x 2) (pow (sqrt 6) 2))))
(fma.f64 x (*.f64 x #s(literal -2/3 binary64)) #s(literal -2 binary64))
(+ (* -1/3 (pow (sqrt 6) 2)) (* (pow x 2) (- (* -1/27 (* (pow x 2) (pow (sqrt 6) 2))) (* 1/9 (pow (sqrt 6) 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))
(+ (* -1/3 (pow (sqrt 6) 2)) (* (pow x 2) (- (* (pow x 2) (- (* -1/81 (* (pow x 2) (pow (sqrt 6) 2))) (* 1/27 (pow (sqrt 6) 2)))) (* 1/9 (pow (sqrt 6) 2)))))
(fma.f64 (*.f64 x x) (fma.f64 (*.f64 x 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))
(/ (pow (sqrt 6) 2) (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ (+ (* 3 (/ (pow (sqrt 6) 2) (pow x 2))) (pow (sqrt 6) 2)) (pow x 2))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (+ (* 9 (/ (pow (sqrt 6) 2) (pow x 4))) (pow (sqrt 6) 2)) (* -3 (/ (pow (sqrt 6) 2) (pow x 2)))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) (*.f64 x x))) (/.f64 #s(literal 54 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x))
(/ (- (+ (* 27 (/ (pow (sqrt 6) 2) (pow x 6))) (pow (sqrt 6) 2)) (+ (* -9 (/ (pow (sqrt 6) 2) (pow x 4))) (* -3 (/ (pow (sqrt 6) 2) (pow x 2))))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 54 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) (/.f64 #s(literal -162 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.f64 x x))
(/ (pow (sqrt 6) 2) (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ (+ (* 3 (/ (pow (sqrt 6) 2) (pow x 2))) (pow (sqrt 6) 2)) (pow x 2))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (+ (* 9 (/ (pow (sqrt 6) 2) (pow x 4))) (pow (sqrt 6) 2)) (* -3 (/ (pow (sqrt 6) 2) (pow x 2)))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) (*.f64 x x))) (/.f64 #s(literal 54 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x x))
(/ (- (+ (* 27 (/ (pow (sqrt 6) 2) (pow x 6))) (pow (sqrt 6) 2)) (+ (* -9 (/ (pow (sqrt 6) 2) (pow x 4))) (* -3 (/ (pow (sqrt 6) 2) (pow x 2))))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 54 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) (/.f64 #s(literal -162 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.f64 x x))
-1/3
#s(literal -1/3 binary64)
(- (* -1/9 (pow x 2)) 1/3)
(fma.f64 x (*.f64 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 x (*.f64 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 (*.f64 x 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 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) (/.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x))
(/ (+ 1 (+ (* 3 (/ 1 (pow x 2))) (+ (* 27 (/ 1 (pow x 6))) (/ 9 (pow x 4))))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.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 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) (/.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 x x))
(/ (+ 1 (+ (* 3 (/ 1 (pow x 2))) (+ (* 27 (/ 1 (pow x 6))) (/ 9 (pow x 4))))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.f64 x x))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(*.f64 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))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/6 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)
(* 1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(/ 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)
(* 1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (pow x 2))
(*.f64 x (*.f64 x #s(literal 1/6 binary64)))
(/ 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 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)

eval127.0ms (1.9%)

Memory
-3.6MiB live, 183.3MiB allocated
Compiler

Compiled 13 264 to 1 565 computations (88.2% saved)

prune81.0ms (1.2%)

Memory
2.5MiB live, 174.4MiB allocated
Pruning

10 alts after pruning (3 fresh and 7 done)

PrunedKeptTotal
New8603863
Fresh101
Picked235
Done044
Total86310873
Accuracy
100.0%
Counts
873 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
99.9%
(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))
51.9%
(/.f64 (*.f64 x x) #s(literal 6 binary64))
51.8%
(/.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) x))
51.8%
(/.f64 x (/.f64 #s(literal 6 binary64) x))
51.8%
(*.f64 (/.f64 x #s(literal 6 binary64)) x)
51.8%
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
2.3%
(*.f64 (*.f64 x x) #s(literal -1/6 binary64))
51.8%
(*.f64 (*.f64 x #s(literal 1/6 binary64)) x)
48.1%
#s(literal -1/2 binary64)
Compiler

Compiled 291 to 116 computations (60.1% saved)

regimes29.0ms (0.4%)

Memory
-11.7MiB live, 63.4MiB allocated
Counts
23 → 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))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(*.f64 (/.f64 x #s(literal 6 binary64)) x)
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
(/.f64 x (/.f64 #s(literal 6 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
(/.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) 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 (*.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 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 6 binary64) x) (/.f64 #s(literal 1 binary64) x)))
(/.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)))
(/.f64 (fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) x #s(literal -1/4 binary64)) (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))) (sqrt.f64 (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) (*.f64 (sqrt.f64 #s(literal 6 binary64)) (sqrt.f64 #s(literal 6 binary64)))))
(/.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -81 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal 18 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal 9 binary64))))
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 1/2 binary64))))
Outputs
(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))
Calls

4 calls:

9.0ms
x
7.0ms
(-.f64 (*.f64 x x) #s(literal 3 binary64))
6.0ms
(*.f64 x x)
5.0ms
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 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)

regimes10.0ms (0.2%)

Memory
26.7MiB live, 26.7MiB allocated
Counts
7 → 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))
(*.f64 (*.f64 x x) #s(literal 1/6 binary64))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(*.f64 (/.f64 x #s(literal 6 binary64)) x)
(/.f64 (*.f64 x x) #s(literal 6 binary64))
Outputs
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
Calls

4 calls:

3.0ms
x
3.0ms
(*.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)

regimes11.0ms (0.2%)

Memory
-24.2MiB live, 19.3MiB allocated
Counts
4 → 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))
(*.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:

5.0ms
(-.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
98.2%2x
98.2%2(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
98.2%2(-.f64 (*.f64 x x) #s(literal 3 binary64))
98.2%2(*.f64 x x)
Compiler

Compiled 20 to 13 computations (35% saved)

regimes7.0ms (0.1%)

Memory
17.3MiB live, 17.3MiB 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 #s(literal 1/6 binary64)) x)
Calls

4 calls:

2.0ms
x
2.0ms
(*.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
98.1%2x
98.1%2(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
98.1%2(-.f64 (*.f64 x x) #s(literal 3 binary64))
98.1%2(*.f64 x x)
Compiler

Compiled 20 to 13 computations (35% saved)

regimes6.0ms (0.1%)

Memory
-26.0MiB live, 13.3MiB 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:

2.0ms
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
48.1%1x
48.1%1(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
48.1%1(-.f64 (*.f64 x x) #s(literal 3 binary64))
48.1%1(*.f64 x x)
Compiler

Compiled 20 to 13 computations (35% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.9710274018283056
517.7486804490395
Compiler

Compiled 11 to 10 computations (9.1% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.9710274018283056
517.7486804490395
Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify7.0ms (0.1%)

Memory
16.6MiB live, 16.6MiB allocated
Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01637
11937
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(if (<=.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(if (<=.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal -1/2 binary64) (*.f64 (*.f64 x #s(literal 1/6 binary64)) x))
#s(literal -1/2 binary64)
Outputs
(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(if (<=.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))
(if (<=.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(if (<=.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal -1/2 binary64) (*.f64 (*.f64 x #s(literal 1/6 binary64)) x))
(if (<=.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
#s(literal -1/2 binary64)

soundness564.0ms (8.4%)

Memory
5.6MiB live, 281.1MiB allocated
Rules
7 892×accelerator-lowering-fma.f32
7 892×accelerator-lowering-fma.f64
5 712×*-lowering-*.f32
5 712×*-lowering-*.f64
5 168×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019162
143162
298162
3235162
4748162
51583162
62320162
73495162
84221162
95328162
106382162
117111162
08024144
0615
13915
222715
3183215
0868513
028119
1160107
21063107
0894596
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 76 to 44 computations (42.1% saved)

preprocess33.0ms (0.5%)

Memory
-5.0MiB live, 70.9MiB allocated
Remove

(abs x)

Compiler

Compiled 106 to 54 computations (49.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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