Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, F

Time bar (total: 884.0ms)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
100%100%0%0%0%0%0%1
Compiler

Compiled 7 to 7 computations (0% saved)

sample252.0ms (28.5%)

Memory
-6.8MiB live, 97.1MiB allocated; 11ms collecting garbage
Samples
120.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-add!: 22.0ms (95.3% of total)
adjust: 1.0ms (4.3% of total)
Bogosity

preprocess90.0ms (10.2%)

Memory
2.7MiB live, 2.7MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
0912
11710
22910
34210
410910
56309
657659
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Compiler

Compiled 10 to 10 computations (0% saved)

series1.0ms (0.1%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Counts
5 → 5
Calls
Call 1
Inputs
(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
x
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 3 binary64)
Outputs
#s(approx (+ x (/ 1 3)) #s(hole binary64 1/3))
#s(approx (+ x (/ 1 3)) #s(hole binary64 (+ 1/3 x)))
#s(approx x #s(hole binary64 x))
#s(approx (+ x (/ 1 3)) #s(hole binary64 x))
#s(approx (+ x (/ 1 3)) #s(hole binary64 (* x (+ 1 (* 1/3 (/ 1 x))))))
Calls

3 calls:

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

rewrite69.0ms (7.8%)

Memory
2.2MiB live, 10.0MiB allocated; 1ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01840
02038
17838
049737
Stop Event
iter-limit
iter-limit
iter-limit
unsound
iter-limit
Counts
10 → 24
Calls
Call 1
Inputs
(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
x
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 3 binary64)
#s(approx (+ x (/ 1 3)) #s(hole binary64 1/3))
#s(approx (+ x (/ 1 3)) #s(hole binary64 (+ 1/3 x)))
#s(approx x #s(hole binary64 x))
#s(approx (+ x (/ 1 3)) #s(hole binary64 x))
#s(approx (+ x (/ 1 3)) #s(hole binary64 (* x (+ 1 (* 1/3 (/ 1 x))))))
Outputs
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (neg.f64 (-.f64 x #s(literal 1/3 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1/3 binary64) x)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal 1/27 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal 1/27 binary64))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 #s(literal 1/3 binary64) x))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1/27 binary64)) (fma.f64 x x (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x))))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1/27 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal 1/3 binary64))))
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1/3 binary64) x)))
(-.f64 x #s(literal -1/3 binary64))
(+.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x x (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)))))
(+.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(+.f64 #s(literal 1/3 binary64) x)
(+.f64 x #s(literal 1/3 binary64))
x
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))
#s(approx (+ x (/ 1 3)) (-.f64 x #s(literal -1/3 binary64)))
#s(approx x x)
#s(approx (+ x (/ 1 3)) x)
#s(approx (+ x (/ 1 3)) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) x x))

eval2.0ms (0.2%)

Memory
1.6MiB live, 1.6MiB allocated; 0ms collecting garbage
Compiler

Compiled 108 to 62 computations (42.6% saved)

prune6.0ms (0.7%)

Memory
-5.8MiB live, 1.9MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New16521
Fresh000
Picked101
Done000
Total17522
Accuracy
100.0%
Counts
22 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.5%
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1/27 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
100.0%
(-.f64 x #s(literal -1/3 binary64))
63.5%
(+.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
55.1%
#s(approx (+ x (/ 1 3)) x)
46.4%
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))
Compiler

Compiled 76 to 72 computations (5.3% saved)

series8.0ms (0.9%)

Memory
4.5MiB live, 4.5MiB allocated; 0ms collecting garbage
Counts
17 → 55
Calls
Call 1
Inputs
(-.f64 x #s(literal -1/3 binary64))
x
#s(literal -1/3 binary64)
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
#s(approx (+ x (/ 1 3)) x)
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1/27 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
(fma.f64 (*.f64 x x) x #s(literal 1/27 binary64))
(*.f64 x x)
#s(literal 1/27 binary64)
(fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
(-.f64 x #s(literal 1/3 binary64))
#s(literal 1/9 binary64)
(+.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
(/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
(*.f64 (*.f64 x x) x)
Outputs
#s(approx (- x -1/3) #s(hole binary64 1/3))
#s(approx (- x -1/3) #s(hole binary64 (+ 1/3 x)))
#s(approx x #s(hole binary64 x))
#s(approx (+ x (/ 1 3)) #s(hole binary64 1/3))
#s(approx (+ x (/ 1 3)) #s(hole binary64 (+ 1/3 x)))
#s(approx (/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 1/3))
#s(approx (/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (+ 1/3 x)))
#s(approx (+ (* (* x x) x) 1/27) #s(hole binary64 1/27))
#s(approx (+ (* (* x x) x) 1/27) #s(hole binary64 (+ 1/27 (pow x 3))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 1/9))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (+ 1/9 (* -1/3 x))))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (+ 1/9 (* x (- x 1/3)))))
#s(approx (- x 1/3) #s(hole binary64 -1/3))
#s(approx (- x 1/3) #s(hole binary64 (- x 1/3)))
#s(approx (+ (/ 1/27 (+ (* x (- x 1/3)) 1/9)) (/ (* (* x x) x) (+ (* x (- x 1/3)) 1/9))) #s(hole binary64 1/3))
#s(approx (+ (/ 1/27 (+ (* x (- x 1/3)) 1/9)) (/ (* (* x x) x) (+ (* x (- x 1/3)) 1/9))) #s(hole binary64 (+ 1/3 x)))
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 1/3))
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (+ 1/3 x)))
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (+ 1/3 (* x (+ 1 (* -9 (pow x 2)))))))
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (+ 1/3 (* x (+ 1 (* (pow x 2) (- (* -27 x) 9)))))))
#s(approx (/ (* (* x x) x) (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (* 9 (pow x 3))))
#s(approx (/ (* (* x x) x) (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (* (pow x 3) (+ 9 (* 27 x)))))
#s(approx (/ (* (* x x) x) (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (* (pow x 3) (+ 9 (* x (+ 27 (* -243 (pow x 2))))))))
#s(approx (/ (* (* x x) x) (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (* (pow x 3) (+ 9 (* x (+ 27 (* (pow x 2) (- (* -729 x) 243))))))))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (- x -1/3) #s(hole binary64 x))
#s(approx (- x -1/3) #s(hole binary64 (* x (+ 1 (* 1/3 (/ 1 x))))))
#s(approx (+ x (/ 1 3)) #s(hole binary64 x))
#s(approx (+ x (/ 1 3)) #s(hole binary64 (* x (+ 1 (* 1/3 (/ 1 x))))))
#s(approx (/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 x))
#s(approx (/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (* x (+ 1 (* 1/3 (/ 1 x))))))
#s(approx (+ (* (* x x) x) 1/27) #s(hole binary64 (pow x 3)))
#s(approx (+ (* (* x x) x) 1/27) #s(hole binary64 (* (pow x 3) (+ 1 (* 1/27 (/ 1 (pow x 3)))))))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (* (pow x 2) (- 1 (* 1/3 (/ 1 x))))))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (* (pow x 2) (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))))))
#s(approx (- x 1/3) #s(hole binary64 x))
#s(approx (- x 1/3) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x))))))
#s(approx (+ (/ 1/27 (+ (* x (- x 1/3)) 1/9)) (/ (* (* x x) x) (+ (* x (- x 1/3)) 1/9))) #s(hole binary64 x))
#s(approx (+ (/ 1/27 (+ (* x (- x 1/3)) 1/9)) (/ (* (* x x) x) (+ (* x (- x 1/3)) 1/9))) #s(hole binary64 (* x (+ 1 (* 1/3 (/ 1 x))))))
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (/ 1/27 (pow x 2))))
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 2))))
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (/ (- (+ 1/27 (* 1/81 (/ 1 x))) (/ 1/729 (pow x 3))) (pow x 2))))
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (/ (+ 1/27 (+ (* -1 (/ (+ 1/729 (* 1/2187 (/ 1 x))) (pow x 3))) (* 1/81 (/ 1 x)))) (pow x 2))))
#s(approx (/ (* (* x x) x) (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 x))
#s(approx (/ (* (* x x) x) (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (* x (+ 1 (* 1/3 (/ 1 x))))))
#s(approx (/ (* (* x x) x) (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (* x (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/27 (pow x 3))))))
#s(approx (/ (* (* x x) x) (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (* x (+ 1 (+ (* -1 (/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 3))) (* 1/3 (/ 1 x)))))))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x))))))
#s(approx (- x 1/3) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))))
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (/ (+ 1/27 (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x))) (pow x 2))))
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (/ (+ 1/27 (* -1 (/ (- (+ (/ 1/2187 (pow x 3)) (* 1/729 (/ 1 (pow x 2)))) 1/81) x))) (pow x 2))))
#s(approx (/ (* (* x x) x) (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- 1/3 (* 1/27 (/ 1 (pow x 2)))) x)) 1)))))
#s(approx (/ (* (* x x) x) (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 2)))) x)) 1)))))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@inf
((- x -1/3) x -1/3 (+ x (/ 1 3)) 1/3 (+ x (/ 1 3)) (/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) (+ (* (* x x) x) 1/27) (* x x) 1/27 (+ (* x (- x 1/3)) 1/9) (- x 1/3) 1/9 (+ (/ 1/27 (+ (* x (- x 1/3)) 1/9)) (/ (* (* x x) x) (+ (* x (- x 1/3)) 1/9))) (/ 1/27 (+ (* x (- x 1/3)) 1/9)) (/ (* (* x x) x) (+ (* x (- x 1/3)) 1/9)) (* (* x x) x))
2.0ms
x
@-inf
((- x -1/3) x -1/3 (+ x (/ 1 3)) 1/3 (+ x (/ 1 3)) (/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) (+ (* (* x x) x) 1/27) (* x x) 1/27 (+ (* x (- x 1/3)) 1/9) (- x 1/3) 1/9 (+ (/ 1/27 (+ (* x (- x 1/3)) 1/9)) (/ (* (* x x) x) (+ (* x (- x 1/3)) 1/9))) (/ 1/27 (+ (* x (- x 1/3)) 1/9)) (/ (* (* x x) x) (+ (* x (- x 1/3)) 1/9)) (* (* x x) x))
2.0ms
x
@0
((- x -1/3) x -1/3 (+ x (/ 1 3)) 1/3 (+ x (/ 1 3)) (/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) (+ (* (* x x) x) 1/27) (* x x) 1/27 (+ (* x (- x 1/3)) 1/9) (- x 1/3) 1/9 (+ (/ 1/27 (+ (* x (- x 1/3)) 1/9)) (/ (* (* x x) x) (+ (* x (- x 1/3)) 1/9))) (/ 1/27 (+ (* x (- x 1/3)) 1/9)) (/ (* (* x x) x) (+ (* x (- x 1/3)) 1/9)) (* (* x x) x))

rewrite138.0ms (15.6%)

Memory
3.9MiB live, 47.7MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02041043
0222816
11077807
08559789
Stop Event
iter-limit
node-limit
iter-limit
Counts
72 → 311
Calls
Call 1
Inputs
(-.f64 x #s(literal -1/3 binary64))
x
#s(literal -1/3 binary64)
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
#s(approx (+ x (/ 1 3)) x)
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1/27 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
(fma.f64 (*.f64 x x) x #s(literal 1/27 binary64))
(*.f64 x x)
#s(literal 1/27 binary64)
(fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
(-.f64 x #s(literal 1/3 binary64))
#s(literal 1/9 binary64)
(+.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
(/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
(*.f64 (*.f64 x x) x)
#s(approx (- x -1/3) #s(hole binary64 1/3))
#s(approx (- x -1/3) #s(hole binary64 (+ 1/3 x)))
#s(approx x #s(hole binary64 x))
#s(approx (+ x (/ 1 3)) #s(hole binary64 1/3))
#s(approx (+ x (/ 1 3)) #s(hole binary64 (+ 1/3 x)))
#s(approx (/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 1/3))
#s(approx (/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (+ 1/3 x)))
#s(approx (+ (* (* x x) x) 1/27) #s(hole binary64 1/27))
#s(approx (+ (* (* x x) x) 1/27) #s(hole binary64 (+ 1/27 (pow x 3))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 1/9))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (+ 1/9 (* -1/3 x))))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (+ 1/9 (* x (- x 1/3)))))
#s(approx (- x 1/3) #s(hole binary64 -1/3))
#s(approx (- x 1/3) #s(hole binary64 (- x 1/3)))
#s(approx (+ (/ 1/27 (+ (* x (- x 1/3)) 1/9)) (/ (* (* x x) x) (+ (* x (- x 1/3)) 1/9))) #s(hole binary64 1/3))
#s(approx (+ (/ 1/27 (+ (* x (- x 1/3)) 1/9)) (/ (* (* x x) x) (+ (* x (- x 1/3)) 1/9))) #s(hole binary64 (+ 1/3 x)))
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 1/3))
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (+ 1/3 x)))
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (+ 1/3 (* x (+ 1 (* -9 (pow x 2)))))))
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (+ 1/3 (* x (+ 1 (* (pow x 2) (- (* -27 x) 9)))))))
#s(approx (/ (* (* x x) x) (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (* 9 (pow x 3))))
#s(approx (/ (* (* x x) x) (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (* (pow x 3) (+ 9 (* 27 x)))))
#s(approx (/ (* (* x x) x) (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (* (pow x 3) (+ 9 (* x (+ 27 (* -243 (pow x 2))))))))
#s(approx (/ (* (* x x) x) (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (* (pow x 3) (+ 9 (* x (+ 27 (* (pow x 2) (- (* -729 x) 243))))))))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (- x -1/3) #s(hole binary64 x))
#s(approx (- x -1/3) #s(hole binary64 (* x (+ 1 (* 1/3 (/ 1 x))))))
#s(approx (+ x (/ 1 3)) #s(hole binary64 x))
#s(approx (+ x (/ 1 3)) #s(hole binary64 (* x (+ 1 (* 1/3 (/ 1 x))))))
#s(approx (/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 x))
#s(approx (/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (* x (+ 1 (* 1/3 (/ 1 x))))))
#s(approx (+ (* (* x x) x) 1/27) #s(hole binary64 (pow x 3)))
#s(approx (+ (* (* x x) x) 1/27) #s(hole binary64 (* (pow x 3) (+ 1 (* 1/27 (/ 1 (pow x 3)))))))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (* (pow x 2) (- 1 (* 1/3 (/ 1 x))))))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (* (pow x 2) (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))))))
#s(approx (- x 1/3) #s(hole binary64 x))
#s(approx (- x 1/3) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x))))))
#s(approx (+ (/ 1/27 (+ (* x (- x 1/3)) 1/9)) (/ (* (* x x) x) (+ (* x (- x 1/3)) 1/9))) #s(hole binary64 x))
#s(approx (+ (/ 1/27 (+ (* x (- x 1/3)) 1/9)) (/ (* (* x x) x) (+ (* x (- x 1/3)) 1/9))) #s(hole binary64 (* x (+ 1 (* 1/3 (/ 1 x))))))
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (/ 1/27 (pow x 2))))
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 2))))
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (/ (- (+ 1/27 (* 1/81 (/ 1 x))) (/ 1/729 (pow x 3))) (pow x 2))))
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (/ (+ 1/27 (+ (* -1 (/ (+ 1/729 (* 1/2187 (/ 1 x))) (pow x 3))) (* 1/81 (/ 1 x)))) (pow x 2))))
#s(approx (/ (* (* x x) x) (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 x))
#s(approx (/ (* (* x x) x) (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (* x (+ 1 (* 1/3 (/ 1 x))))))
#s(approx (/ (* (* x x) x) (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (* x (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/27 (pow x 3))))))
#s(approx (/ (* (* x x) x) (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (* x (+ 1 (+ (* -1 (/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 3))) (* 1/3 (/ 1 x)))))))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x))))))
#s(approx (- x 1/3) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))))
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (/ (+ 1/27 (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x))) (pow x 2))))
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (/ (+ 1/27 (* -1 (/ (- (+ (/ 1/2187 (pow x 3)) (* 1/729 (/ 1 (pow x 2)))) 1/81) x))) (pow x 2))))
#s(approx (/ (* (* x x) x) (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- 1/3 (* 1/27 (/ 1 (pow x 2)))) x)) 1)))))
#s(approx (/ (* (* x x) x) (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 2)))) x)) 1)))))
Outputs
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 1/729 binary64) (*.f64 (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))))) (-.f64 (*.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1/729 binary64) (*.f64 (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) (*.f64 (*.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) (/.f64 (-.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))))) (neg.f64 (/.f64 (-.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal 1/729 binary64) (*.f64 (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) (*.f64 (*.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) (-.f64 (*.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (neg.f64 x) x) x #s(literal -1/27 binary64))) (neg.f64 (fma.f64 (neg.f64 x) (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)) (*.f64 (*.f64 (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)) (*.f64 x x)) x))) (neg.f64 (*.f64 (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1/3 binary64) x)))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (neg.f64 (-.f64 x #s(literal 1/3 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (fma.f64 (neg.f64 x) (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)) (*.f64 (fma.f64 (neg.f64 x) (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)) #s(literal -1/27 binary64))) (*.f64 (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)) (*.f64 (fma.f64 (neg.f64 x) (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)) #s(literal 1/27 binary64))) (*.f64 (fma.f64 (neg.f64 x) (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (neg.f64 x) (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)) (*.f64 (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)) #s(literal -1/27 binary64))) (*.f64 (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)) (fma.f64 (neg.f64 x) (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)) (*.f64 (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)) #s(literal 1/27 binary64))) (*.f64 (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))))
(/.f64 (fma.f64 #s(literal -1/27 binary64) (fma.f64 (neg.f64 x) (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)) (*.f64 (fma.f64 (neg.f64 x) (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)) (*.f64 (*.f64 (neg.f64 x) x) x))) (*.f64 (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))))
(/.f64 (fma.f64 #s(literal -1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)) (*.f64 (fma.f64 (neg.f64 x) (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)) (*.f64 (*.f64 x x) x))) (*.f64 (fma.f64 (neg.f64 x) (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))))
(/.f64 (fma.f64 #s(literal 1/27 binary64) (fma.f64 (neg.f64 x) (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)) (*.f64 (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)) (*.f64 (*.f64 (neg.f64 x) x) x))) (*.f64 (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)) (fma.f64 (neg.f64 x) (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 #s(literal 1/3 binary64) x))
(/.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) (/.f64 (-.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) (/.f64 (-.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))))
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1/729 binary64) (*.f64 (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) (*.f64 (*.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) (-.f64 (*.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))))))
(/.f64 (fma.f64 (*.f64 (neg.f64 x) x) x #s(literal -1/27 binary64)) (fma.f64 (neg.f64 x) (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)))
(/.f64 (fma.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)) (*.f64 (*.f64 (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)) (*.f64 x x)) x)) (*.f64 (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1/27 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))
(neg.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 x) x) x #s(literal -1/27 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))))
(neg.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1/27 binary64)) (fma.f64 (neg.f64 x) (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))))
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1/729 binary64) (*.f64 (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) (/.f64 (-.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))))
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1/3 binary64) x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal 1/3 binary64))))
(-.f64 (*.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) (/.f64 #s(literal -1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))))
(-.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 x (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))))
(-.f64 x #s(literal -1/3 binary64))
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(+.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) (*.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))))
(+.f64 #s(literal 1/3 binary64) x)
(+.f64 x #s(literal 1/3 binary64))
x
#s(literal -1/3 binary64)
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
#s(approx (+ x (/ 1 3)) x)
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 1/729 binary64) (*.f64 (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))))) (-.f64 (*.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))))
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(+.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/729 binary64) (*.f64 (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) (*.f64 (*.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) (-.f64 (*.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))))))) (/.f64 (pow.f64 (*.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) #s(literal 3 binary64)) (+.f64 (/.f64 #s(literal 1/729 binary64) (*.f64 (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) (*.f64 (*.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) (-.f64 (*.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))))))))
(+.f64 (/.f64 (*.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) (*.f64 (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) (/.f64 (*.f64 (*.f64 (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)) (*.f64 x x)) x) (*.f64 (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))))
(+.f64 (*.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))))
(+.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) (*.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))))
(+.f64 #s(literal 1/3 binary64) x)
(+.f64 x #s(literal 1/3 binary64))
(/.f64 #s(literal -1/27 binary64) (fma.f64 (neg.f64 x) (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)))
(/.f64 #s(literal 1/27 binary64) (neg.f64 (fma.f64 (neg.f64 x) (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))))
(/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))
(neg.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))))
(neg.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (neg.f64 x) (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))))
(*.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 x) x) x)) (neg.f64 (fma.f64 (neg.f64 x) (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))))
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (fma.f64 (neg.f64 x) (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)))
(/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))
(neg.f64 (/.f64 (*.f64 (*.f64 (neg.f64 x) x) x) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))))
(neg.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (neg.f64 x) (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))))
(*.f64 (*.f64 x (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))) (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x))
(*.f64 (*.f64 x x) x)
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))
(*.f64 x (*.f64 x x))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(neg.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1 binary64)))
(neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) x)))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 3 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 3 binary64) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))))
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))
#s(approx (+ x (/ 1 3)) (-.f64 x #s(literal -1/3 binary64)))
#s(approx x x)
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))
#s(approx (+ x (/ 1 3)) (-.f64 x #s(literal -1/3 binary64)))
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))
#s(approx (+ x (/ 1 3)) (-.f64 x #s(literal -1/3 binary64)))
#s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64))
#s(approx (+ (* (* x x) x) 1/27) (fma.f64 (*.f64 x x) x #s(literal 1/27 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(literal 1/9 binary64))
#s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))
#s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))
#s(approx (- x 1/3) #s(literal -1/3 binary64))
#s(approx (- x 1/3) (-.f64 x #s(literal 1/3 binary64)))
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))
#s(approx (+ x (/ 1 3)) (-.f64 x #s(literal -1/3 binary64)))
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) #s(literal 1/3 binary64))
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) (-.f64 x #s(literal -1/3 binary64)))
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) (fma.f64 (fma.f64 #s(literal -9 binary64) (*.f64 x x) #s(literal 1 binary64)) x #s(literal 1/3 binary64)))
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -27 binary64) x) #s(literal 9 binary64)) (*.f64 x x) #s(literal 1 binary64)) x #s(literal 1/3 binary64)))
#s(approx (/ (* (* x x) x) (+ (* x (- x 1/3)) 1/9)) (*.f64 (*.f64 #s(literal 9 binary64) x) (*.f64 x x)))
#s(approx (/ (* (* x x) x) (+ (* x (- x 1/3)) 1/9)) (*.f64 (*.f64 (fma.f64 #s(literal 27 binary64) x #s(literal 9 binary64)) x) (*.f64 x x)))
#s(approx (/ (* (* x x) x) (+ (* x (- x 1/3)) 1/9)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -243 binary64) (*.f64 x x) #s(literal 27 binary64)) x #s(literal 9 binary64)) (*.f64 x x)) x))
#s(approx (/ (* (* x x) x) (+ (* x (- x 1/3)) 1/9)) (*.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -729 binary64) x) #s(literal 243 binary64)) (*.f64 x x) #s(literal 27 binary64)) x #s(literal 9 binary64)) x) (*.f64 x x)))
#s(approx (* (* x x) x) (*.f64 (*.f64 x x) x))
#s(approx (+ x (/ 1 3)) x)
#s(approx (+ x (/ 1 3)) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) x x))
#s(approx (+ x (/ 1 3)) x)
#s(approx (+ x (/ 1 3)) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) x x))
#s(approx (+ x (/ 1 3)) x)
#s(approx (+ x (/ 1 3)) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) x x))
#s(approx (+ (* (* x x) x) 1/27) (*.f64 (*.f64 x x) x))
#s(approx (+ (* (* x x) x) 1/27) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64)) (*.f64 x x)) x))
#s(approx (+ (* x (- x 1/3)) 1/9) (*.f64 x x))
#s(approx (+ (* x (- x 1/3)) 1/9) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) x))
#s(approx (+ (* x (- x 1/3)) 1/9) (*.f64 (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) x)) x) x))
#s(approx (- x 1/3) x)
#s(approx (- x 1/3) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))
#s(approx (+ x (/ 1 3)) x)
#s(approx (+ x (/ 1 3)) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) x x))
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) (/.f64 #s(literal 1/27 binary64) (*.f64 x x)))
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal -1/27 binary64)) (*.f64 x x)))
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal -1/27 binary64)) (/.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x x) x))) (*.f64 x x)))
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) (/.f64 (-.f64 (+.f64 (/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/2187 binary64) x) #s(literal -1/729 binary64))) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1/81 binary64) x)) #s(literal -1/27 binary64)) (*.f64 x x)))
#s(approx (/ (* (* x x) x) (+ (* x (- x 1/3)) 1/9)) x)
#s(approx (/ (* (* x x) x) (+ (* x (- x 1/3)) 1/9)) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) x x))
#s(approx (/ (* (* x x) x) (+ (* x (- x 1/3)) 1/9)) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) x))) x))
#s(approx (/ (* (* x x) x) (+ (* x (- x 1/3)) 1/9)) (fma.f64 (+.f64 (/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal -1/27 binary64))) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1/3 binary64) x)) x x))
#s(approx (+ (* x (- x 1/3)) 1/9) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x)) x) x))
#s(approx (- x 1/3) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))))
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) (/.f64 (-.f64 #s(literal 1/27 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/729 binary64) (*.f64 x x)) #s(literal 1/81 binary64)) x)) (*.f64 x x)))
#s(approx (/ 1/27 (+ (* x (- x 1/3)) 1/9)) (/.f64 (-.f64 #s(literal 1/27 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2187 binary64) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1/729 binary64) (*.f64 x x))) #s(literal 1/81 binary64)) x)) (*.f64 x x)))
#s(approx (/ (* (* x x) x) (+ (* x (- x 1/3)) 1/9)) (*.f64 (neg.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/27 binary64) (*.f64 x x))) (neg.f64 x)) #s(literal 1 binary64))) x))
#s(approx (/ (* (* x x) x) (+ (* x (- x 1/3)) 1/9)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal -1/27 binary64)) (*.f64 x x)) #s(literal -1/3 binary64)) x) #s(literal 1 binary64))))

eval23.0ms (2.6%)

Memory
-1.0MiB live, 21.1MiB allocated; 2ms collecting garbage
Compiler

Compiled 3 166 to 1 039 computations (67.2% saved)

prune5.0ms (0.6%)

Memory
-2.6MiB live, 6.7MiB allocated; 1ms collecting garbage
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New2962298
Fresh000
Picked145
Done000
Total2976303
Accuracy
100.0%
Counts
303 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.2%
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))))
63.5%
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1/27 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
46.8%
(/.f64 #s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
100.0%
(-.f64 x #s(literal -1/3 binary64))
55.1%
#s(approx (+ x (/ 1 3)) x)
46.4%
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))
Compiler

Compiled 49 to 47 computations (4.1% saved)

series5.0ms (0.5%)

Memory
3.3MiB live, 3.3MiB allocated; 0ms collecting garbage
Counts
13 → 53
Calls
Call 1
Inputs
(/.f64 #s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
#s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64))
#s(literal 1/27 binary64)
(fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
x
(-.f64 x #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
#s(literal 1/9 binary64)
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))))
(*.f64 x x)
(/.f64 x (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))
(fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))
(/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))
Outputs
#s(approx (/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 1/3))
#s(approx (/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (+ 1/3 x)))
#s(approx (+ (* (* x x) x) 1/27) #s(hole binary64 1/27))
#s(approx (+ (* (* x x) x) 1/27) #s(hole binary64 (+ 1/27 (pow x 3))))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 1/9))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (+ 1/9 (* -1/3 x))))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (+ 1/9 (* x (- x 1/3)))))
#s(approx x #s(hole binary64 x))
#s(approx (- x 1/3) #s(hole binary64 -1/3))
#s(approx (- x 1/3) #s(hole binary64 (- x 1/3)))
#s(approx (+ (* (* x x) (/ x (+ (* (- x 1/3) x) 1/9))) (/ 1/27 (+ (* (- x 1/3) x) 1/9))) #s(hole binary64 1/3))
#s(approx (+ (* (* x x) (/ x (+ (* (- x 1/3) x) 1/9))) (/ 1/27 (+ (* (- x 1/3) x) 1/9))) #s(hole binary64 (+ 1/3 x)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ x (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 (* 9 x)))
#s(approx (/ x (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 (* x (+ 9 (* 27 x)))))
#s(approx (/ x (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 (* x (+ 9 (* x (+ 27 (* -243 (pow x 2))))))))
#s(approx (/ x (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 (* x (+ 9 (* x (+ 27 (* (pow x 2) (- (* -729 x) 243))))))))
#s(approx (+ (* (- x 1/3) x) 1/9) #s(hole binary64 1/9))
#s(approx (+ (* (- x 1/3) x) 1/9) #s(hole binary64 (+ 1/9 (* -1/3 x))))
#s(approx (+ (* (- x 1/3) x) 1/9) #s(hole binary64 (+ 1/9 (* x (- x 1/3)))))
#s(approx (/ 1/27 (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 1/3))
#s(approx (/ 1/27 (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 (+ 1/3 x)))
#s(approx (/ 1/27 (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 (+ 1/3 (* x (+ 1 (* -9 (pow x 2)))))))
#s(approx (/ 1/27 (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 (+ 1/3 (* x (+ 1 (* (pow x 2) (- (* -27 x) 9)))))))
#s(approx (/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 x))
#s(approx (/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (* x (+ 1 (* 1/3 (/ 1 x))))))
#s(approx (+ (* (* x x) x) 1/27) #s(hole binary64 (pow x 3)))
#s(approx (+ (* (* x x) x) 1/27) #s(hole binary64 (* (pow x 3) (+ 1 (* 1/27 (/ 1 (pow x 3)))))))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (* (pow x 2) (- 1 (* 1/3 (/ 1 x))))))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (* (pow x 2) (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))))))
#s(approx (- x 1/3) #s(hole binary64 x))
#s(approx (- x 1/3) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x))))))
#s(approx (+ (* (* x x) (/ x (+ (* (- x 1/3) x) 1/9))) (/ 1/27 (+ (* (- x 1/3) x) 1/9))) #s(hole binary64 x))
#s(approx (+ (* (* x x) (/ x (+ (* (- x 1/3) x) 1/9))) (/ 1/27 (+ (* (- x 1/3) x) 1/9))) #s(hole binary64 (* x (+ 1 (* 1/3 (/ 1 x))))))
#s(approx (/ x (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 (/ 1 x)))
#s(approx (/ x (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 (/ (+ 1 (* 1/3 (/ 1 x))) x)))
#s(approx (/ x (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 (/ (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/27 (pow x 3))) x)))
#s(approx (/ x (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 (/ (+ 1 (+ (* -1 (/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 3))) (* 1/3 (/ 1 x)))) x)))
#s(approx (+ (* (- x 1/3) x) 1/9) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (- x 1/3) x) 1/9) #s(hole binary64 (* (pow x 2) (- 1 (* 1/3 (/ 1 x))))))
#s(approx (+ (* (- x 1/3) x) 1/9) #s(hole binary64 (* (pow x 2) (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))))))
#s(approx (/ 1/27 (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 (/ 1/27 (pow x 2))))
#s(approx (/ 1/27 (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 (/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 2))))
#s(approx (/ 1/27 (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 (/ (- (+ 1/27 (* 1/81 (/ 1 x))) (/ 1/729 (pow x 3))) (pow x 2))))
#s(approx (/ 1/27 (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 (/ (+ 1/27 (+ (* -1 (/ (+ 1/729 (* 1/2187 (/ 1 x))) (pow x 3))) (* 1/81 (/ 1 x)))) (pow x 2))))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x))))))
#s(approx (- x 1/3) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))))
#s(approx (/ x (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- 1/3 (* 1/27 (/ 1 (pow x 2)))) x)) 1) x))))
#s(approx (/ x (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 2)))) x)) 1) x))))
#s(approx (+ (* (- x 1/3) x) 1/9) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x))))))
#s(approx (/ 1/27 (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 (/ (+ 1/27 (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x))) (pow x 2))))
#s(approx (/ 1/27 (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 (/ (+ 1/27 (* -1 (/ (- (+ (/ 1/2187 (pow x 3)) (* 1/729 (/ 1 (pow x 2)))) 1/81) x))) (pow x 2))))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
((/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) (+ (* (* x x) x) 1/27) 1/27 (+ (* x (- x 1/3)) 1/9) x (- x 1/3) 1/3 1/9 (+ (* (* x x) (/ x (+ (* (- x 1/3) x) 1/9))) (/ 1/27 (+ (* (- x 1/3) x) 1/9))) (* x x) (/ x (+ (* (- x 1/3) x) 1/9)) (+ (* (- x 1/3) x) 1/9) (/ 1/27 (+ (* (- x 1/3) x) 1/9)))
1.0ms
x
@inf
((/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) (+ (* (* x x) x) 1/27) 1/27 (+ (* x (- x 1/3)) 1/9) x (- x 1/3) 1/3 1/9 (+ (* (* x x) (/ x (+ (* (- x 1/3) x) 1/9))) (/ 1/27 (+ (* (- x 1/3) x) 1/9))) (* x x) (/ x (+ (* (- x 1/3) x) 1/9)) (+ (* (- x 1/3) x) 1/9) (/ 1/27 (+ (* (- x 1/3) x) 1/9)))
1.0ms
x
@0
((/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) (+ (* (* x x) x) 1/27) 1/27 (+ (* x (- x 1/3)) 1/9) x (- x 1/3) 1/3 1/9 (+ (* (* x x) (/ x (+ (* (- x 1/3) x) 1/9))) (/ 1/27 (+ (* (- x 1/3) x) 1/9))) (* x x) (/ x (+ (* (- x 1/3) x) 1/9)) (+ (* (- x 1/3) x) 1/9) (/ 1/27 (+ (* (- x 1/3) x) 1/9)))

rewrite131.0ms (14.8%)

Memory
-5.8MiB live, 43.9MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02011030
0216910
11084819
08464803
Stop Event
iter-limit
node-limit
iter-limit
Counts
66 → 186
Calls
Call 1
Inputs
(/.f64 #s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
#s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64))
#s(literal 1/27 binary64)
(fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
x
(-.f64 x #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
#s(literal 1/9 binary64)
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))))
(*.f64 x x)
(/.f64 x (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))
(fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))
(/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))
#s(approx (/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 1/3))
#s(approx (/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (+ 1/3 x)))
#s(approx (+ (* (* x x) x) 1/27) #s(hole binary64 1/27))
#s(approx (+ (* (* x x) x) 1/27) #s(hole binary64 (+ 1/27 (pow x 3))))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 1/9))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (+ 1/9 (* -1/3 x))))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (+ 1/9 (* x (- x 1/3)))))
#s(approx x #s(hole binary64 x))
#s(approx (- x 1/3) #s(hole binary64 -1/3))
#s(approx (- x 1/3) #s(hole binary64 (- x 1/3)))
#s(approx (+ (* (* x x) (/ x (+ (* (- x 1/3) x) 1/9))) (/ 1/27 (+ (* (- x 1/3) x) 1/9))) #s(hole binary64 1/3))
#s(approx (+ (* (* x x) (/ x (+ (* (- x 1/3) x) 1/9))) (/ 1/27 (+ (* (- x 1/3) x) 1/9))) #s(hole binary64 (+ 1/3 x)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ x (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 (* 9 x)))
#s(approx (/ x (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 (* x (+ 9 (* 27 x)))))
#s(approx (/ x (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 (* x (+ 9 (* x (+ 27 (* -243 (pow x 2))))))))
#s(approx (/ x (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 (* x (+ 9 (* x (+ 27 (* (pow x 2) (- (* -729 x) 243))))))))
#s(approx (+ (* (- x 1/3) x) 1/9) #s(hole binary64 1/9))
#s(approx (+ (* (- x 1/3) x) 1/9) #s(hole binary64 (+ 1/9 (* -1/3 x))))
#s(approx (+ (* (- x 1/3) x) 1/9) #s(hole binary64 (+ 1/9 (* x (- x 1/3)))))
#s(approx (/ 1/27 (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 1/3))
#s(approx (/ 1/27 (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 (+ 1/3 x)))
#s(approx (/ 1/27 (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 (+ 1/3 (* x (+ 1 (* -9 (pow x 2)))))))
#s(approx (/ 1/27 (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 (+ 1/3 (* x (+ 1 (* (pow x 2) (- (* -27 x) 9)))))))
#s(approx (/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 x))
#s(approx (/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (* x (+ 1 (* 1/3 (/ 1 x))))))
#s(approx (+ (* (* x x) x) 1/27) #s(hole binary64 (pow x 3)))
#s(approx (+ (* (* x x) x) 1/27) #s(hole binary64 (* (pow x 3) (+ 1 (* 1/27 (/ 1 (pow x 3)))))))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (* (pow x 2) (- 1 (* 1/3 (/ 1 x))))))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (* (pow x 2) (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))))))
#s(approx (- x 1/3) #s(hole binary64 x))
#s(approx (- x 1/3) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x))))))
#s(approx (+ (* (* x x) (/ x (+ (* (- x 1/3) x) 1/9))) (/ 1/27 (+ (* (- x 1/3) x) 1/9))) #s(hole binary64 x))
#s(approx (+ (* (* x x) (/ x (+ (* (- x 1/3) x) 1/9))) (/ 1/27 (+ (* (- x 1/3) x) 1/9))) #s(hole binary64 (* x (+ 1 (* 1/3 (/ 1 x))))))
#s(approx (/ x (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 (/ 1 x)))
#s(approx (/ x (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 (/ (+ 1 (* 1/3 (/ 1 x))) x)))
#s(approx (/ x (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 (/ (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/27 (pow x 3))) x)))
#s(approx (/ x (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 (/ (+ 1 (+ (* -1 (/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 3))) (* 1/3 (/ 1 x)))) x)))
#s(approx (+ (* (- x 1/3) x) 1/9) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (- x 1/3) x) 1/9) #s(hole binary64 (* (pow x 2) (- 1 (* 1/3 (/ 1 x))))))
#s(approx (+ (* (- x 1/3) x) 1/9) #s(hole binary64 (* (pow x 2) (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))))))
#s(approx (/ 1/27 (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 (/ 1/27 (pow x 2))))
#s(approx (/ 1/27 (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 (/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 2))))
#s(approx (/ 1/27 (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 (/ (- (+ 1/27 (* 1/81 (/ 1 x))) (/ 1/729 (pow x 3))) (pow x 2))))
#s(approx (/ 1/27 (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 (/ (+ 1/27 (+ (* -1 (/ (+ 1/729 (* 1/2187 (/ 1 x))) (pow x 3))) (* 1/81 (/ 1 x)))) (pow x 2))))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x))))))
#s(approx (- x 1/3) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))))
#s(approx (/ x (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- 1/3 (* 1/27 (/ 1 (pow x 2)))) x)) 1) x))))
#s(approx (/ x (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 2)))) x)) 1) x))))
#s(approx (+ (* (- x 1/3) x) 1/9) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x))))))
#s(approx (/ 1/27 (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 (/ (+ 1/27 (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x))) (pow x 2))))
#s(approx (/ 1/27 (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 (/ (+ 1/27 (* -1 (/ (- (+ (/ 1/2187 (pow x 3)) (* 1/729 (/ 1 (pow x 2)))) 1/81) x))) (pow x 2))))
Outputs
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64)))) (neg.f64 (fma.f64 (neg.f64 x) (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))))
(/.f64 (neg.f64 #s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64))) (fma.f64 (neg.f64 x) (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)))
(/.f64 #s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))
(neg.f64 (/.f64 (neg.f64 #s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64))) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))))
(neg.f64 (/.f64 #s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64)) (fma.f64 (neg.f64 x) (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))))
#s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64))
#s(literal 1/27 binary64)
(/.f64 (-.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 (neg.f64 x) (-.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1/81 binary64) (fma.f64 (*.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) (-.f64 x #s(literal 1/3 binary64))) x (*.f64 #s(literal 1/9 binary64) (*.f64 (neg.f64 x) (-.f64 x #s(literal 1/3 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal -1/81 binary64))) (neg.f64 (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal -1/9 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) x) (-.f64 x #s(literal 1/3 binary64))))) (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (-.f64 x #s(literal 1/3 binary64)) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 3 binary64)) #s(literal -1/729 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) x) (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 1/9 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal -1/9 binary64))))))
(/.f64 (fma.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal -1/81 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal -1/9 binary64)))
(/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) x) (-.f64 x #s(literal 1/3 binary64)))) (-.f64 #s(literal 1/9 binary64) (*.f64 (-.f64 x #s(literal 1/3 binary64)) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 3 binary64)) #s(literal -1/729 binary64)) (fma.f64 (*.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) x) (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 1/9 binary64)))))
(/.f64 (+.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal -1/9 binary64)))))
(fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))
(fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
(-.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x x)) (*.f64 #s(literal 1/3 binary64) x))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) x) (-.f64 x #s(literal 1/3 binary64))) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal -1/9 binary64))) (/.f64 #s(literal 1/81 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal -1/9 binary64))))
(-.f64 (/.f64 #s(literal 1/81 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (-.f64 x #s(literal 1/3 binary64)) x))) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) x) (-.f64 x #s(literal 1/3 binary64))) (-.f64 #s(literal 1/9 binary64) (*.f64 (-.f64 x #s(literal 1/3 binary64)) x))))
(-.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal -1/9 binary64))
(-.f64 #s(literal 1/9 binary64) (*.f64 (neg.f64 (-.f64 x #s(literal 1/3 binary64))) x))
(-.f64 #s(literal 1/9 binary64) (*.f64 (neg.f64 x) (-.f64 x #s(literal 1/3 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) x) (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 1/9 binary64))))) (/.f64 #s(literal 1/729 binary64) (fma.f64 (*.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) x) (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 1/9 binary64))))))
(+.f64 (/.f64 #s(literal 1/729 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal -1/9 binary64))))) (/.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 3 binary64)) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal -1/9 binary64))))))
(+.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 1/9 binary64))
(+.f64 #s(literal 1/9 binary64) (*.f64 (-.f64 x #s(literal 1/3 binary64)) x))
x
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (neg.f64 (-.f64 x #s(literal -1/3 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal -1/27 binary64))) (neg.f64 (fma.f64 x x (*.f64 #s(literal 1/3 binary64) (-.f64 x #s(literal -1/3 binary64))))))
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal -1/3 binary64)))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal -1/27 binary64)) (fma.f64 x x (*.f64 #s(literal 1/3 binary64) (-.f64 x #s(literal -1/3 binary64)))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal -1/3 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x (*.f64 #s(literal 1/3 binary64) (-.f64 x #s(literal -1/3 binary64))))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x x (*.f64 #s(literal 1/3 binary64) (-.f64 x #s(literal -1/3 binary64))))))
(-.f64 x #s(literal 1/3 binary64))
(+.f64 x #s(literal -1/3 binary64))
#s(literal 1/3 binary64)
#s(literal 1/9 binary64)
(/.f64 (-.f64 (/.f64 #s(literal 1/729 binary64) (*.f64 (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) (pow.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) x) x) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) (*.f64 (*.f64 (/.f64 x (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) x) x)))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) x) x) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1/729 binary64) (*.f64 (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) (-.f64 (pow.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) x) x) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) (*.f64 (*.f64 (/.f64 x (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) x) x)))))
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#s(approx (+ (* (- x 1/3) x) 1/9) #s(literal 1/9 binary64))
#s(approx (+ (* (- x 1/3) x) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))
#s(approx (+ (* (- x 1/3) x) 1/9) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))
#s(approx x x)
#s(approx (- x 1/3) #s(literal -1/3 binary64))
#s(approx (- x 1/3) (-.f64 x #s(literal 1/3 binary64)))
#s(approx (+ (* (* x x) (/ x (+ (* (- x 1/3) x) 1/9))) (/ 1/27 (+ (* (- x 1/3) x) 1/9))) #s(literal 1/3 binary64))
#s(approx (+ (* (* x x) (/ x (+ (* (- x 1/3) x) 1/9))) (/ 1/27 (+ (* (- x 1/3) x) 1/9))) (-.f64 x #s(literal -1/3 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (/ x (+ (* (- x 1/3) x) 1/9)) (*.f64 #s(literal 9 binary64) x))
#s(approx (/ x (+ (* (- x 1/3) x) 1/9)) (*.f64 (fma.f64 #s(literal 27 binary64) x #s(literal 9 binary64)) x))
#s(approx (/ x (+ (* (- x 1/3) x) 1/9)) (*.f64 (fma.f64 (fma.f64 #s(literal -243 binary64) (*.f64 x x) #s(literal 27 binary64)) x #s(literal 9 binary64)) x))
#s(approx (/ x (+ (* (- x 1/3) x) 1/9)) (*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -729 binary64) x) #s(literal 243 binary64)) (*.f64 x x) #s(literal 27 binary64)) x #s(literal 9 binary64)) x))
#s(approx (+ (* (- x 1/3) x) 1/9) #s(literal 1/9 binary64))
#s(approx (+ (* (- x 1/3) x) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))
#s(approx (+ (* (- x 1/3) x) 1/9) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))
#s(approx (/ 1/27 (+ (* (- x 1/3) x) 1/9)) #s(literal 1/3 binary64))
#s(approx (/ 1/27 (+ (* (- x 1/3) x) 1/9)) (-.f64 x #s(literal -1/3 binary64)))
#s(approx (/ 1/27 (+ (* (- x 1/3) x) 1/9)) (fma.f64 (fma.f64 #s(literal -9 binary64) (*.f64 x x) #s(literal 1 binary64)) x #s(literal 1/3 binary64)))
#s(approx (/ 1/27 (+ (* (- x 1/3) x) 1/9)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -27 binary64) x) #s(literal 9 binary64)) (*.f64 x x) #s(literal 1 binary64)) x #s(literal 1/3 binary64)))
#s(approx (+ (* (* x x) (/ x (+ (* (- x 1/3) x) 1/9))) (/ 1/27 (+ (* (- x 1/3) x) 1/9))) x)
#s(approx (+ (* (* x x) (/ x (+ (* (- x 1/3) x) 1/9))) (/ 1/27 (+ (* (- x 1/3) x) 1/9))) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) x x))
#s(approx (+ (* (* x x) x) 1/27) (*.f64 (*.f64 x x) x))
#s(approx (+ (* (* x x) x) 1/27) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64)) (*.f64 x x)) x))
#s(approx (+ (* (- x 1/3) x) 1/9) (*.f64 x x))
#s(approx (+ (* (- x 1/3) x) 1/9) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) x))
#s(approx (+ (* (- x 1/3) x) 1/9) (*.f64 (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) x)) x) x))
#s(approx (- x 1/3) x)
#s(approx (- x 1/3) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))
#s(approx (+ (* (* x x) (/ x (+ (* (- x 1/3) x) 1/9))) (/ 1/27 (+ (* (- x 1/3) x) 1/9))) x)
#s(approx (+ (* (* x x) (/ x (+ (* (- x 1/3) x) 1/9))) (/ 1/27 (+ (* (- x 1/3) x) 1/9))) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) x x))
#s(approx (/ x (+ (* (- x 1/3) x) 1/9)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ x (+ (* (- x 1/3) x) 1/9)) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)) x))
#s(approx (/ x (+ (* (- x 1/3) x) 1/9)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) x))) x))
#s(approx (/ x (+ (* (- x 1/3) x) 1/9)) (/.f64 (-.f64 (+.f64 (/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal -1/27 binary64))) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1/3 binary64) x)) #s(literal -1 binary64)) x))
#s(approx (+ (* (- x 1/3) x) 1/9) (*.f64 x x))
#s(approx (+ (* (- x 1/3) x) 1/9) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) x))
#s(approx (+ (* (- x 1/3) x) 1/9) (*.f64 (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) x)) x) x))
#s(approx (/ 1/27 (+ (* (- x 1/3) x) 1/9)) (/.f64 #s(literal 1/27 binary64) (*.f64 x x)))
#s(approx (/ 1/27 (+ (* (- x 1/3) x) 1/9)) (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal -1/27 binary64)) (*.f64 x x)))
#s(approx (/ 1/27 (+ (* (- x 1/3) x) 1/9)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal -1/27 binary64)) (/.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x x) x))) (*.f64 x x)))
#s(approx (/ 1/27 (+ (* (- x 1/3) x) 1/9)) (/.f64 (-.f64 (+.f64 (/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/2187 binary64) x) #s(literal -1/729 binary64))) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1/81 binary64) x)) #s(literal -1/27 binary64)) (*.f64 x x)))
#s(approx (+ (* (- x 1/3) x) 1/9) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x)) x) x))
#s(approx (- x 1/3) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))))
#s(approx (/ x (+ (* (- x 1/3) x) 1/9)) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/27 binary64) (*.f64 x x))) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x)))
#s(approx (/ x (+ (* (- x 1/3) x) 1/9)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal -1/27 binary64)) (*.f64 x x)) #s(literal -1/3 binary64)) x) #s(literal 1 binary64)) (neg.f64 x)))
#s(approx (+ (* (- x 1/3) x) 1/9) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x)) x) x))
#s(approx (/ 1/27 (+ (* (- x 1/3) x) 1/9)) (/.f64 (-.f64 #s(literal 1/27 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/729 binary64) (*.f64 x x)) #s(literal 1/81 binary64)) x)) (*.f64 x x)))
#s(approx (/ 1/27 (+ (* (- x 1/3) x) 1/9)) (/.f64 (-.f64 #s(literal 1/27 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2187 binary64) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1/729 binary64) (*.f64 x x))) #s(literal 1/81 binary64)) x)) (*.f64 x x)))

eval14.0ms (1.6%)

Memory
4.5MiB live, 11.9MiB allocated; 1ms collecting garbage
Compiler

Compiled 1 550 to 570 computations (63.2% saved)

prune4.0ms (0.4%)

Memory
-7.7MiB live, 4.0MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New1531154
Fresh000
Picked112
Done044
Total1546160
Accuracy
100.0%
Counts
160 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.2%
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))))
63.5%
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1/27 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
46.1%
(/.f64 #s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64)) (fma.f64 x #s(approx (- x 1/3) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
100.0%
(-.f64 x #s(literal -1/3 binary64))
55.1%
#s(approx (+ x (/ 1 3)) x)
46.4%
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))
Compiler

Compiled 51 to 49 computations (3.9% saved)

series2.0ms (0.3%)

Memory
1.8MiB live, 1.8MiB allocated; 0ms collecting garbage
Counts
8 → 21
Calls
Call 1
Inputs
(/.f64 #s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64)) (fma.f64 x #s(approx (- x 1/3) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
#s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64))
#s(literal 1/27 binary64)
(fma.f64 x #s(approx (- x 1/3) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))
x
#s(approx (- x 1/3) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
#s(literal 1/9 binary64)
Outputs
#s(approx (/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 1/3))
#s(approx (/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (+ 1/3 x)))
#s(approx (+ (* (* x x) x) 1/27) #s(hole binary64 1/27))
#s(approx (+ (* (* x x) x) 1/27) #s(hole binary64 (+ 1/27 (pow x 3))))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 1/9))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (+ 1/9 (* -1/3 x))))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (+ 1/9 (* x (- x 1/3)))))
#s(approx x #s(hole binary64 x))
#s(approx (- x 1/3) #s(hole binary64 -1/3))
#s(approx (- x 1/3) #s(hole binary64 (- x 1/3)))
#s(approx (/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 x))
#s(approx (/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (* x (+ 1 (* 1/3 (/ 1 x))))))
#s(approx (+ (* (* x x) x) 1/27) #s(hole binary64 (pow x 3)))
#s(approx (+ (* (* x x) x) 1/27) #s(hole binary64 (* (pow x 3) (+ 1 (* 1/27 (/ 1 (pow x 3)))))))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (* (pow x 2) (- 1 (* 1/3 (/ 1 x))))))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (* (pow x 2) (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))))))
#s(approx (- x 1/3) #s(hole binary64 x))
#s(approx (- x 1/3) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x))))))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x))))))
#s(approx (- x 1/3) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
((/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) (+ (* (* x x) x) 1/27) 1/27 (+ (* x (- x 1/3)) 1/9) x (- x 1/3) -1/3 1/9)
1.0ms
x
@inf
((/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) (+ (* (* x x) x) 1/27) 1/27 (+ (* x (- x 1/3)) 1/9) x (- x 1/3) -1/3 1/9)
0.0ms
x
@0
((/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) (+ (* (* x x) x) 1/27) 1/27 (+ (* x (- x 1/3)) 1/9) x (- x 1/3) -1/3 1/9)

rewrite83.0ms (9.3%)

Memory
0.4MiB live, 14.4MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070341
073305
1361264
03073252
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
29 → 49
Calls
Call 1
Inputs
(/.f64 #s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64)) (fma.f64 x #s(approx (- x 1/3) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
#s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64))
#s(literal 1/27 binary64)
(fma.f64 x #s(approx (- x 1/3) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))
x
#s(approx (- x 1/3) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
#s(literal 1/9 binary64)
#s(approx (/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 1/3))
#s(approx (/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (+ 1/3 x)))
#s(approx (+ (* (* x x) x) 1/27) #s(hole binary64 1/27))
#s(approx (+ (* (* x x) x) 1/27) #s(hole binary64 (+ 1/27 (pow x 3))))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 1/9))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (+ 1/9 (* -1/3 x))))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (+ 1/9 (* x (- x 1/3)))))
#s(approx x #s(hole binary64 x))
#s(approx (- x 1/3) #s(hole binary64 -1/3))
#s(approx (- x 1/3) #s(hole binary64 (- x 1/3)))
#s(approx (/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 x))
#s(approx (/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (* x (+ 1 (* 1/3 (/ 1 x))))))
#s(approx (+ (* (* x x) x) 1/27) #s(hole binary64 (pow x 3)))
#s(approx (+ (* (* x x) x) 1/27) #s(hole binary64 (* (pow x 3) (+ 1 (* 1/27 (/ 1 (pow x 3)))))))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (* (pow x 2) (- 1 (* 1/3 (/ 1 x))))))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (* (pow x 2) (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))))))
#s(approx (- x 1/3) #s(hole binary64 x))
#s(approx (- x 1/3) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x))))))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x))))))
#s(approx (- x 1/3) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))))
Outputs
(*.f64 (/.f64 #s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64)) (fma.f64 (*.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) (*.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) #s(literal -1/81 binary64))) (fma.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x #s(literal -1/9 binary64)))
(*.f64 (/.f64 #s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) x) #s(approx (- x 1/3) #s(literal -1/3 binary64))) (*.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) #s(literal 1/729 binary64))) (fma.f64 (*.f64 (*.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) x) #s(approx (- x 1/3) #s(literal -1/3 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) #s(literal 1/9 binary64)))))
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)))))
(/.f64 (neg.f64 #s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64))) (neg.f64 (fma.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))))
(/.f64 #s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64)) (fma.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)))
(neg.f64 (/.f64 (neg.f64 #s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64))) (fma.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))))
(neg.f64 (/.f64 #s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64)) (neg.f64 (fma.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)))))
#s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64))
#s(literal 1/27 binary64)
(/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 (*.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) x) #s(approx (- x 1/3) #s(literal -1/3 binary64)))) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x)))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) (*.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) #s(literal -1/81 binary64))) (neg.f64 (fma.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x #s(literal -1/9 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) x) #s(approx (- x 1/3) #s(literal -1/3 binary64))) (*.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) #s(literal 1/729 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) x) #s(approx (- x 1/3) #s(literal -1/3 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) #s(literal 1/9 binary64))))))
(/.f64 (fma.f64 (*.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) (*.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) #s(literal -1/81 binary64)) (fma.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x #s(literal -1/9 binary64)))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) x) #s(approx (- x 1/3) #s(literal -1/3 binary64))) (*.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) #s(literal 1/729 binary64)) (+.f64 #s(literal 1/81 binary64) (-.f64 (*.f64 (*.f64 (*.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) x) #s(approx (- x 1/3) #s(literal -1/3 binary64))) (*.f64 (*.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) #s(literal 1/9 binary64)))))
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) x) #s(approx (- x 1/3) #s(literal -1/3 binary64))) (*.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) #s(literal 1/729 binary64)) (fma.f64 (*.f64 (*.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) x) #s(approx (- x 1/3) #s(literal -1/3 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) #s(literal 1/9 binary64)))))
(fma.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))
(fma.f64 x #s(approx (- x 1/3) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) x) #s(approx (- x 1/3) #s(literal -1/3 binary64))) (fma.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x #s(literal -1/9 binary64))) (/.f64 #s(literal 1/81 binary64) (fma.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x #s(literal -1/9 binary64))))
(-.f64 (*.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) #s(literal -1/9 binary64))
(-.f64 #s(literal 1/9 binary64) (*.f64 (neg.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64))) x))
(-.f64 #s(literal 1/9 binary64) (*.f64 (neg.f64 x) #s(approx (- x 1/3) #s(literal -1/3 binary64))))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) x) #s(approx (- x 1/3) #s(literal -1/3 binary64))) (*.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x)) (fma.f64 (*.f64 (*.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) x) #s(approx (- x 1/3) #s(literal -1/3 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) #s(literal 1/9 binary64))))) (/.f64 #s(literal 1/729 binary64) (fma.f64 (*.f64 (*.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) x) #s(approx (- x 1/3) #s(literal -1/3 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) #s(literal 1/9 binary64))))))
(+.f64 (*.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) #s(literal 1/9 binary64))
(+.f64 #s(literal 1/9 binary64) (*.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x))
x
#s(approx (- x 1/3) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
#s(literal 1/9 binary64)
#s(approx (/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) #s(literal 1/3 binary64))
#s(approx (/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) (-.f64 x #s(literal -1/3 binary64)))
#s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64))
#s(approx (+ (* (* x x) x) 1/27) (fma.f64 (*.f64 x x) x #s(literal 1/27 binary64)))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(literal 1/9 binary64))
#s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))
#s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))
#s(approx x x)
#s(approx (- x 1/3) #s(literal -1/3 binary64))
#s(approx (- x 1/3) (-.f64 x #s(literal 1/3 binary64)))
#s(approx (/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) x)
#s(approx (/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) x x))
#s(approx (+ (* (* x x) x) 1/27) (*.f64 (*.f64 x x) x))
#s(approx (+ (* (* x x) x) 1/27) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64)) (*.f64 x x)) x))
#s(approx (+ (* x (- x 1/3)) 1/9) (*.f64 x x))
#s(approx (+ (* x (- x 1/3)) 1/9) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) x))
#s(approx (+ (* x (- x 1/3)) 1/9) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x) x))
#s(approx (- x 1/3) x)
#s(approx (- x 1/3) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))
#s(approx (+ (* x (- x 1/3)) 1/9) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x)) x) x))
#s(approx (- x 1/3) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))))

eval4.0ms (0.4%)

Memory
3.5MiB live, 3.5MiB allocated; 0ms collecting garbage
Compiler

Compiled 464 to 158 computations (65.9% saved)

prune3.0ms (0.3%)

Memory
2.7MiB live, 2.7MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New40040
Fresh000
Picked011
Done055
Total40646
Accuracy
100.0%
Counts
46 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.2%
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))))
63.5%
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1/27 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
46.1%
(/.f64 #s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64)) (fma.f64 x #s(approx (- x 1/3) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
100.0%
(-.f64 x #s(literal -1/3 binary64))
55.1%
#s(approx (+ x (/ 1 3)) x)
46.4%
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))
Compiler

Compiled 103 to 89 computations (13.6% saved)

regimes6.0ms (0.7%)

Memory
-3.3MiB live, 4.4MiB allocated; 0ms collecting garbage
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))
#s(approx (+ x (/ 1 3)) x)
(-.f64 x #s(literal -1/3 binary64))
(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
(/.f64 #s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64)) (fma.f64 x #s(approx (- x 1/3) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(/.f64 #s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1/27 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))))
(+.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
Outputs
(-.f64 x #s(literal -1/3 binary64))
Calls

2 calls:

3.0ms
x
2.0ms
(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Results
AccuracySegmentsBranch
100.0%1(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
100.0%1x
Compiler

Compiled 6 to 6 computations (0% saved)

regimes2.0ms (0.3%)

Memory
2.9MiB live, 2.9MiB allocated; 0ms collecting garbage
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))
#s(approx (+ x (/ 1 3)) x)
Outputs
#s(approx (+ x (/ 1 3)) x)
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))
#s(approx (+ x (/ 1 3)) x)
Calls

2 calls:

1.0ms
x
1.0ms
(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Results
AccuracySegmentsBranch
98.0%3(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
98.0%3x
Compiler

Compiled 6 to 6 computations (0% saved)

regimes2.0ms (0.3%)

Memory
-7.3MiB live, 2.7MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))
Outputs
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))
Calls

2 calls:

1.0ms
(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
1.0ms
x
Results
AccuracySegmentsBranch
46.4%1(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
46.4%1x
Compiler

Compiled 6 to 6 computations (0% saved)

bsearch13.0ms (1.5%)

Memory
4.1MiB live, 4.1MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
5.0ms
0.04764566427738045
2.29336020121874
7.0ms
-63225960979.08085
-9.731558562881434e-9
Samples
4.0ms272×0valid
Compiler

Compiled 229 to 264 computations (-15.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-add!: 1.0ms (127.8% of total)
adjust: 0.0ms (0% of total)

derivations5.0ms (0.6%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Stop Event
done
Compiler

Compiled 18 to 16 computations (11.1% saved)

preprocess16.0ms (1.8%)

Memory
2.3MiB live, 17.3MiB allocated; 2ms collecting garbage
Compiler

Compiled 23 to 21 computations (8.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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