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

Time bar (total: 961.0ms)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB 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)

sample281.0ms (29.2%)

Memory
-12.3MiB live, 608.1MiB allocated; 35ms collecting garbage
Samples
151.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-sub!: 24.0ms (94% of total)
adjust: 1.0ms (3.9% of total)
Bogosity

preprocess97.0ms (10.1%)

Memory
-20.0MiB live, 26.9MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0912
11112
21412
32412
46912
539112
6502012
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
3.4MiB live, 3.4MiB allocated; 0ms collecting garbage
Counts
5 → 6
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 (- x 1/3)))
#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))))))
#s(approx (- x (/ 1 3)) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
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)

rewrite88.0ms (9.2%)

Memory
29.1MiB live, 129.2MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02355
02550
17850
048650
Stop Event
iter-limit
iter-limit
iter-limit
unsound
iter-limit
Counts
11 → 18
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 (- x 1/3)))
#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))))))
#s(approx (- x (/ 1 3)) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))))
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 (*.f64 (*.f64 x x) x) #s(literal 1/27 binary64))) (neg.f64 (fma.f64 x x (fma.f64 #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 (*.f64 (*.f64 x x) x) #s(literal 1/27 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #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 (*.f64 (*.f64 x x) x) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))))
(-.f64 x #s(literal 1/3 binary64))
(+.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)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))
#s(approx (- x (/ 1 3)) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))))

eval1.0ms (0.2%)

Memory
4.0MiB live, 4.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 76 to 49 computations (35.5% saved)

prune4.0ms (0.4%)

Memory
-41.6MiB live, 7.0MiB allocated; 3ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New10515
Fresh000
Picked101
Done000
Total11516
Accuracy
100.0%
Counts
16 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.8%
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal -1/3 binary64)))
65.1%
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) #s(literal 1/27 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))
100.0%
(-.f64 x #s(literal 1/3 binary64))
49.9%
#s(approx (- x (/ 1 3)) x)
51.7%
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
Compiler

Compiled 64 to 64 computations (0% saved)

series7.0ms (0.8%)

Memory
18.3MiB live, 18.3MiB allocated; 0ms collecting garbage
Counts
18 → 46
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 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal -1/3 binary64)))
(fma.f64 x x #s(literal -1/9 binary64))
#s(literal -1/9 binary64)
(-.f64 x #s(literal -1/3 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) #s(literal 1/27 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))
(-.f64 (*.f64 (*.f64 x x) x) #s(literal 1/27 binary64))
(*.f64 (*.f64 x x) x)
(*.f64 x x)
#s(literal 1/27 binary64)
(fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))
#s(literal 1/9 binary64)
Outputs
#s(approx (- x 1/3) #s(hole binary64 -1/3))
#s(approx (- x 1/3) #s(hole binary64 (- 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) -1/9) (- x -1/3)) #s(hole binary64 -1/3))
#s(approx (/ (+ (* x x) -1/9) (- x -1/3)) #s(hole binary64 (- x 1/3)))
#s(approx (+ (* x x) -1/9) #s(hole binary64 -1/9))
#s(approx (+ (* x x) -1/9) #s(hole binary64 (- (pow x 2) 1/9)))
#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 x) 1/9))) #s(hole binary64 -1/3))
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 (- x 1/3)))
#s(approx (- (* (* x x) x) 1/27) #s(hole binary64 -1/27))
#s(approx (- (* (* x x) x) 1/27) #s(hole binary64 (- (pow x 3) 1/27)))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 1/9))
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (+ 1/9 (* 1/3 x))))
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (+ 1/9 (* x (+ 1/3 x)))))
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 1/9))
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 (+ 1/9 (* 1/3 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 (/ 1 3)) #s(hole binary64 x))
#s(approx (- x (/ 1 3)) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x))))))
#s(approx (/ (+ (* x x) -1/9) (- x -1/3)) #s(hole binary64 x))
#s(approx (/ (+ (* x x) -1/9) (- x -1/3)) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x))))))
#s(approx (+ (* x x) -1/9) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) -1/9) #s(hole binary64 (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))))
#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 x) 1/9))) #s(hole binary64 x))
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* 1/3 x) 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 x) 1/9)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))))
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))))
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 (* 1/3 x)))
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 (* x (+ 1/3 (* 1/9 (/ 1 x))))))
#s(approx (- x 1/3) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))))
#s(approx (- x (/ 1 3)) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))))
#s(approx (/ (+ (* x x) -1/9) (- x -1/3)) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))))
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))))
#s(approx (- (* (* x x) x) 1/27) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 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) -1/9) (- x -1/3)) (+ (* x x) -1/9) -1/9 (- x -1/3) (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) (- (* (* x x) x) 1/27) (* (* x x) x) (* x x) 1/27 (+ (* x x) (+ (* 1/3 x) 1/9)) (+ (* 1/3 x) 1/9) 1/9)
2.0ms
x
@inf
((- x 1/3) x 1/3 (- x (/ 1 3)) -1/3 (- x (/ 1 3)) (/ (+ (* x x) -1/9) (- x -1/3)) (+ (* x x) -1/9) -1/9 (- x -1/3) (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) (- (* (* x x) x) 1/27) (* (* x x) x) (* x x) 1/27 (+ (* x x) (+ (* 1/3 x) 1/9)) (+ (* 1/3 x) 1/9) 1/9)
2.0ms
x
@0
((- x 1/3) x 1/3 (- x (/ 1 3)) -1/3 (- x (/ 1 3)) (/ (+ (* x x) -1/9) (- x -1/3)) (+ (* x x) -1/9) -1/9 (- x -1/3) (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) (- (* (* x x) x) 1/27) (* (* x x) x) (* x x) 1/27 (+ (* x x) (+ (* 1/3 x) 1/9)) (+ (* 1/3 x) 1/9) 1/9)

rewrite116.0ms (12%)

Memory
27.3MiB live, 170.5MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0110638
0121483
1463482
03632468
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
64 → 370
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 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal -1/3 binary64)))
(fma.f64 x x #s(literal -1/9 binary64))
#s(literal -1/9 binary64)
(-.f64 x #s(literal -1/3 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) #s(literal 1/27 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))
(-.f64 (*.f64 (*.f64 x x) x) #s(literal 1/27 binary64))
(*.f64 (*.f64 x x) x)
(*.f64 x x)
#s(literal 1/27 binary64)
(fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))
#s(literal 1/9 binary64)
#s(approx (- x 1/3) #s(hole binary64 -1/3))
#s(approx (- x 1/3) #s(hole binary64 (- 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) -1/9) (- x -1/3)) #s(hole binary64 -1/3))
#s(approx (/ (+ (* x x) -1/9) (- x -1/3)) #s(hole binary64 (- x 1/3)))
#s(approx (+ (* x x) -1/9) #s(hole binary64 -1/9))
#s(approx (+ (* x x) -1/9) #s(hole binary64 (- (pow x 2) 1/9)))
#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 x) 1/9))) #s(hole binary64 -1/3))
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 (- x 1/3)))
#s(approx (- (* (* x x) x) 1/27) #s(hole binary64 -1/27))
#s(approx (- (* (* x x) x) 1/27) #s(hole binary64 (- (pow x 3) 1/27)))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 1/9))
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (+ 1/9 (* 1/3 x))))
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (+ 1/9 (* x (+ 1/3 x)))))
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 1/9))
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 (+ 1/9 (* 1/3 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 (/ 1 3)) #s(hole binary64 x))
#s(approx (- x (/ 1 3)) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x))))))
#s(approx (/ (+ (* x x) -1/9) (- x -1/3)) #s(hole binary64 x))
#s(approx (/ (+ (* x x) -1/9) (- x -1/3)) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x))))))
#s(approx (+ (* x x) -1/9) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) -1/9) #s(hole binary64 (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2)))))))
#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 x) 1/9))) #s(hole binary64 x))
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* 1/3 x) 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 x) 1/9)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))))
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))))
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 (* 1/3 x)))
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 (* x (+ 1/3 (* 1/9 (/ 1 x))))))
#s(approx (- x 1/3) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))))
#s(approx (- x (/ 1 3)) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))))
#s(approx (/ (+ (* x x) -1/9) (- x -1/3)) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))))
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))))
#s(approx (- (* (* x x) x) 1/27) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))))
Outputs
(*.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal -1/27 binary64)) (*.f64 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) (-.f64 (*.f64 x (-.f64 x #s(literal 1/3 binary64))) #s(literal 1/9 binary64)))) (-.f64 (*.f64 x (-.f64 x #s(literal 1/3 binary64))) #s(literal 1/9 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal -1/27 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 x x) x) x (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (-.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 x x)))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (-.f64 #s(literal 1/3 binary64) x))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1/27 binary64))) (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (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 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 x #s(literal 1/3 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (/.f64 x (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 (/.f64 #s(literal 1/27 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))))) (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 (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64))))) (*.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal -1/3 binary64))) (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal -1/3 binary64))))) (-.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal -1/3 binary64)))))
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#s(literal 1/9 binary64)
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(literal -1/3 binary64))
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#s(approx x x)
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#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) (-.f64 x #s(literal 1/3 binary64)))
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(literal -1/3 binary64))
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) (-.f64 x #s(literal 1/3 binary64)))
#s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64))
#s(approx (+ (* x x) -1/9) (fma.f64 x 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 x) x) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(literal -1/3 binary64))
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* 1/3 x) 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) x) (*.f64 (*.f64 x x) x))
#s(approx (* x x) (*.f64 x x))
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(literal 1/9 binary64))
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)))
#s(approx (+ (* 1/3 x) 1/9) #s(literal 1/9 binary64))
#s(approx (+ (* 1/3 x) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) x)
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) x)
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) x)
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))
#s(approx (+ (* x x) -1/9) (*.f64 x x))
#s(approx (+ (* x x) -1/9) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 x x))) (*.f64 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) (+ (* x x) (+ (* 1/3 x) 1/9))) x)
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))
#s(approx (- (* (* x x) x) 1/27) (*.f64 (*.f64 x x) x))
#s(approx (- (* (* x x) x) 1/27) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) x))) (*.f64 x x)) x))
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (*.f64 x x))
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) x) x x) x))
#s(approx (+ (* x x) (+ (* 1/3 x) 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 (+ (* 1/3 x) 1/9) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (+ (* 1/3 x) 1/9) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64)) x))
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))))
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))))
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))))
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))))
#s(approx (- (* (* x x) x) 1/27) (neg.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (*.f64 x x)) x)))

eval27.0ms (2.8%)

Memory
-11.4MiB live, 79.3MiB allocated; 5ms collecting garbage
Compiler

Compiled 2 041 to 890 computations (56.4% saved)

prune9.0ms (1%)

Memory
-23.0MiB live, 21.2MiB allocated; 4ms collecting garbage
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New2651266
Fresh000
Picked145
Done000
Total2665271
Accuracy
100.0%
Counts
271 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.8%
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal -1/3 binary64)))
52.2%
(/.f64 #s(approx (- (* (* x x) x) 1/27) #s(literal -1/27 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))
100.0%
(-.f64 x #s(literal 1/3 binary64))
49.9%
#s(approx (- x (/ 1 3)) x)
51.7%
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
Compiler

Compiled 34 to 34 computations (0% saved)

series3.0ms (0.3%)

Memory
10.4MiB live, 10.4MiB 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 x (fma.f64 #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)
(fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))
x
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))
#s(literal 1/3 binary64)
#s(literal 1/9 binary64)
Outputs
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 -1/3))
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 (- x 1/3)))
#s(approx (- (* (* x x) x) 1/27) #s(hole binary64 -1/27))
#s(approx (- (* (* x x) x) 1/27) #s(hole binary64 (- (pow x 3) 1/27)))
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 1/9))
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (+ 1/9 (* 1/3 x))))
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (+ 1/9 (* x (+ 1/3 x)))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 1/9))
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 (+ 1/9 (* 1/3 x))))
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 x))
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* 1/3 x) 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 x) 1/9)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))))
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))))
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 (* 1/3 x)))
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 (* x (+ 1/3 (* 1/9 (/ 1 x))))))
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))))
#s(approx (- (* (* x x) x) 1/27) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))))
Calls

3 calls:

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

rewrite113.0ms (11.8%)

Memory
29.8MiB live, 167.4MiB allocated; 28ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072356
077264
1352264
02922252
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
29 → 119
Calls
Call 1
Inputs
(/.f64 #s(approx (- (* (* x x) x) 1/27) #s(literal -1/27 binary64)) (fma.f64 x x (fma.f64 #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)
(fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))
x
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))
#s(literal 1/3 binary64)
#s(literal 1/9 binary64)
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 -1/3))
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 (- x 1/3)))
#s(approx (- (* (* x x) x) 1/27) #s(hole binary64 -1/27))
#s(approx (- (* (* x x) x) 1/27) #s(hole binary64 (- (pow x 3) 1/27)))
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 1/9))
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (+ 1/9 (* 1/3 x))))
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (+ 1/9 (* x (+ 1/3 x)))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 1/9))
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 (+ 1/9 (* 1/3 x))))
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 x))
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* 1/3 x) 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 x) 1/9)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))))
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))))
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 (* 1/3 x)))
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 (* x (+ 1/3 (* 1/9 (/ 1 x))))))
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))))
#s(approx (- (* (* x x) x) 1/27) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))))
Outputs
(*.f64 (/.f64 #s(approx (- (* (* x x) x) 1/27) #s(literal -1/27 binary64)) (*.f64 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) (-.f64 (*.f64 x (-.f64 x #s(literal 1/3 binary64))) #s(literal 1/9 binary64)))) (-.f64 (*.f64 x (-.f64 x #s(literal 1/3 binary64))) #s(literal 1/9 binary64)))
(*.f64 (/.f64 #s(approx (- (* (* x x) x) 1/27) #s(literal -1/27 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64)))) (fma.f64 (*.f64 x x) (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (-.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 x x)))))
(/.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 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) x) (-.f64 x #s(literal -1/3 binary64))) #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 (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) x) (-.f64 x #s(literal -1/3 binary64)) (*.f64 #s(literal 1/9 binary64) (*.f64 (neg.f64 x) (-.f64 x #s(literal -1/3 binary64)))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) (-.f64 (*.f64 x (-.f64 x #s(literal 1/3 binary64))) #s(literal 1/9 binary64)))) (neg.f64 (-.f64 (*.f64 x (-.f64 x #s(literal 1/3 binary64))) #s(literal 1/9 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (-.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 x x))))))
(/.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 x #s(literal -1/3 binary64)) x) (-.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 1/9 binary64)) #s(literal 1/81 binary64))))
(/.f64 (*.f64 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) (-.f64 (*.f64 x (-.f64 x #s(literal 1/3 binary64))) #s(literal 1/9 binary64))) (-.f64 (*.f64 x (-.f64 x #s(literal 1/3 binary64))) #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 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))))
(/.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (-.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 x 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 (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 3 binary64)) #s(literal 1/729 binary64)) (fma.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) (-.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 1/9 binary64)) #s(literal 1/81 binary64)))
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))
(fma.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) x) x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))
(fma.f64 (neg.f64 x) (neg.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (fma.f64 #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 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x x)))
(fma.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/9 binary64) (*.f64 x x)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1/9 binary64)))
(fma.f64 #s(literal 1/3 binary64) (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x))
(fma.f64 #s(literal 1/3 binary64) x (+.f64 #s(literal 1/9 binary64) (*.f64 x x)))
(fma.f64 #s(literal 1/3 binary64) x (fma.f64 x x #s(literal 1/9 binary64)))
(fma.f64 x (*.f64 x #s(literal 1 binary64)) (fma.f64 #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))
(fma.f64 x #s(literal 1/3 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x x)))
(fma.f64 x #s(literal 1/3 binary64) (fma.f64 x x #s(literal 1/9 binary64)))
(fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))
(-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 #s(literal -1/3 binary64) x))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 x (-.f64 x #s(literal 1/3 binary64))) #s(literal 1/9 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) (-.f64 (*.f64 x (-.f64 x #s(literal 1/3 binary64))) #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 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 (neg.f64 x) x))
(-.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 x x)))
(-.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 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 #s(literal 1/3 binary64) x))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (fma.f64 (*.f64 x x) (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (-.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 x x))))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (-.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 x x))))))
(+.f64 (/.f64 #s(literal 1/729 binary64) (fma.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) (-.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 1/9 binary64)) #s(literal 1/81 binary64))) (/.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) (-.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 1/9 binary64)) #s(literal 1/81 binary64))))
(+.f64 (*.f64 x x) (fma.f64 #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 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 x x))
(+.f64 (*.f64 #s(literal 1/3 binary64) x) (+.f64 #s(literal 1/9 binary64) (*.f64 x x)))
(+.f64 (*.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal 1/9 binary64)))
(+.f64 #s(literal 1/9 binary64) (*.f64 (neg.f64 (neg.f64 x)) (-.f64 x #s(literal -1/3 binary64))))
(+.f64 #s(literal 1/9 binary64) (*.f64 (-.f64 x #s(literal -1/3 binary64)) x))
x
(*.f64 #s(literal 1/3 binary64) (-.f64 x #s(literal -1/3 binary64)))
(/.f64 (-.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/81 binary64) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) (*.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/3 binary64) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal 1/9 binary64)))) (neg.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 1/3 binary64) x))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/81 binary64))) (neg.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/27 binary64) x) #s(literal 1/729 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)) #s(literal 1/81 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/27 binary64) x) #s(literal 1/729 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) (-.f64 #s(literal 1/81 binary64) (*.f64 #s(literal 1/27 binary64) x)))))
(/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal 1/9 binary64))) (*.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 1/3 binary64) x)))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/81 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)))
(/.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/27 binary64) x) #s(literal 1/729 binary64)) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)) #s(literal 1/81 binary64)))
(/.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/27 binary64) x) #s(literal 1/729 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) (-.f64 #s(literal 1/81 binary64) (*.f64 #s(literal 1/27 binary64) x))))
(fma.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64) #s(literal 1/9 binary64))
(fma.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64))
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))
(-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 1/3 binary64) x))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 1/3 binary64) x))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))) (/.f64 #s(literal 1/81 binary64) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))))
(-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal -1/9 binary64))
(-.f64 #s(literal 1/9 binary64) (*.f64 (neg.f64 x) #s(literal 1/3 binary64)))
(-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/3 binary64) x))
(+.f64 (/.f64 #s(literal 1/729 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)) #s(literal 1/81 binary64))) (/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/27 binary64) x)) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)) #s(literal 1/81 binary64))))
(+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/27 binary64) x)) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) (-.f64 #s(literal 1/81 binary64) (*.f64 #s(literal 1/27 binary64) x)))) (/.f64 #s(literal 1/729 binary64) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) (-.f64 #s(literal 1/81 binary64) (*.f64 #s(literal 1/27 binary64) x)))))
(+.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))
(+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x))
#s(literal 1/3 binary64)
#s(literal 1/9 binary64)
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(literal -1/3 binary64))
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* 1/3 x) 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 x) 1/9)) #s(literal 1/9 binary64))
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))
#s(approx (+ (* x 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 (+ (* 1/3 x) 1/9) #s(literal 1/9 binary64))
#s(approx (+ (* 1/3 x) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) x)
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))
#s(approx (- (* (* x x) x) 1/27) (*.f64 (*.f64 x x) x))
#s(approx (- (* (* x x) x) 1/27) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) x))) (*.f64 x x)) x))
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (*.f64 x x))
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)) x) x))
#s(approx (+ (* x x) (+ (* 1/3 x) 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 (+ (* 1/3 x) 1/9) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (+ (* 1/3 x) 1/9) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64)) x))
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))))
#s(approx (- (* (* x x) x) 1/27) (neg.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (*.f64 x x)) x)))

eval15.0ms (1.6%)

Memory
-17.4MiB live, 29.2MiB allocated; 5ms collecting garbage
Compiler

Compiled 933 to 407 computations (56.4% saved)

prune4.0ms (0.4%)

Memory
8.9MiB live, 8.9MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1121113
Fresh000
Picked101
Done044
Total1135118
Accuracy
100.0%
Counts
118 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.8%
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal -1/3 binary64)))
51.7%
(/.f64 #s(approx (- (* (* x x) x) 1/27) #s(literal -1/27 binary64)) #s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))
100.0%
(-.f64 x #s(literal 1/3 binary64))
49.9%
#s(approx (- x (/ 1 3)) x)
51.7%
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
Compiler

Compiled 40 to 39 computations (2.5% saved)

series3.0ms (0.3%)

Memory
6.3MiB live, 6.3MiB allocated; 0ms collecting garbage
Counts
8 → 21
Calls
Call 1
Inputs
(/.f64 #s(approx (- (* (* x x) x) 1/27) #s(literal -1/27 binary64)) #s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (fma.f64 #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)
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))
#s(literal 1/3 binary64)
x
#s(literal 1/9 binary64)
Outputs
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 -1/3))
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 (- x 1/3)))
#s(approx (- (* (* x x) x) 1/27) #s(hole binary64 -1/27))
#s(approx (- (* (* x x) x) 1/27) #s(hole binary64 (- (pow x 3) 1/27)))
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 1/9))
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (+ 1/9 (* 1/3 x))))
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (+ 1/9 (* x (+ 1/3 x)))))
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 1/9))
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 (+ 1/9 (* 1/3 x))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 x))
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* 1/3 x) 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 x) 1/9)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))))
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))))
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 (* 1/3 x)))
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 (* x (+ 1/3 (* 1/9 (/ 1 x))))))
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))))
#s(approx (- (* (* x x) x) 1/27) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))))
Calls

3 calls:

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

rewrite103.0ms (10.7%)

Memory
5.5MiB live, 106.1MiB allocated; 18ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072379
074282
1349274
02918262
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
29 → 55
Calls
Call 1
Inputs
(/.f64 #s(approx (- (* (* x x) x) 1/27) #s(literal -1/27 binary64)) #s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (fma.f64 #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)
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))
#s(literal 1/3 binary64)
x
#s(literal 1/9 binary64)
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 -1/3))
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 (- x 1/3)))
#s(approx (- (* (* x x) x) 1/27) #s(hole binary64 -1/27))
#s(approx (- (* (* x x) x) 1/27) #s(hole binary64 (- (pow x 3) 1/27)))
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 1/9))
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (+ 1/9 (* 1/3 x))))
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (+ 1/9 (* x (+ 1/3 x)))))
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 1/9))
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 (+ 1/9 (* 1/3 x))))
#s(approx x #s(hole binary64 x))
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 x))
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* 1/3 x) 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 x) 1/9)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))))
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))))
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 (* 1/3 x)))
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 (* x (+ 1/3 (* 1/9 (/ 1 x))))))
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))))
#s(approx (- (* (* x x) x) 1/27) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))))
Outputs
(/.f64 (neg.f64 (neg.f64 #s(approx (- (* (* x x) x) 1/27) #s(literal -1/27 binary64)))) (neg.f64 (neg.f64 #s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (fma.f64 #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 #s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))))
(/.f64 #s(approx (- (* (* x x) x) 1/27) #s(literal -1/27 binary64)) #s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (fma.f64 #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))) #s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (fma.f64 #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 #s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (fma.f64 #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)
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))
(*.f64 #s(literal 1/3 binary64) (-.f64 x #s(literal -1/3 binary64)))
(/.f64 (-.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/81 binary64) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) (*.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/3 binary64) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal 1/9 binary64)))) (neg.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 1/3 binary64) x))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/81 binary64))) (neg.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/27 binary64) x) #s(literal 1/729 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)) #s(literal 1/81 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/27 binary64) x) #s(literal 1/729 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) (-.f64 #s(literal 1/81 binary64) (*.f64 #s(literal 1/27 binary64) x)))))
(/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal 1/9 binary64))) (*.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 1/3 binary64) x)))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/81 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)))
(/.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/27 binary64) x) #s(literal 1/729 binary64)) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)) #s(literal 1/81 binary64)))
(/.f64 (fma.f64 (*.f64 x x) (*.f64 #s(literal 1/27 binary64) x) #s(literal 1/729 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) (-.f64 #s(literal 1/81 binary64) (*.f64 #s(literal 1/27 binary64) x))))
(fma.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64) #s(literal 1/9 binary64))
(fma.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64))
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))
(-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 1/3 binary64) x))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 1/3 binary64) x))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))) (/.f64 #s(literal 1/81 binary64) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))))
(-.f64 #s(literal 1/9 binary64) (*.f64 (neg.f64 x) #s(literal 1/3 binary64)))
(-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/3 binary64) x))
(-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal -1/9 binary64))
(+.f64 (/.f64 #s(literal 1/729 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)) #s(literal 1/81 binary64))) (/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/27 binary64) x)) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)) #s(literal 1/81 binary64))))
(+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/27 binary64) x)) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) (-.f64 #s(literal 1/81 binary64) (*.f64 #s(literal 1/27 binary64) x)))) (/.f64 #s(literal 1/729 binary64) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) (-.f64 #s(literal 1/81 binary64) (*.f64 #s(literal 1/27 binary64) x)))))
(+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x))
(+.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))
#s(literal 1/3 binary64)
x
#s(literal 1/9 binary64)
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(literal -1/3 binary64))
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* 1/3 x) 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 x) 1/9)) #s(literal 1/9 binary64))
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)))
#s(approx (+ (* 1/3 x) 1/9) #s(literal 1/9 binary64))
#s(approx (+ (* 1/3 x) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))
#s(approx x x)
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) x)
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))
#s(approx (- (* (* x x) x) 1/27) (*.f64 (*.f64 x x) x))
#s(approx (- (* (* x x) x) 1/27) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) x))) (*.f64 x x)) x))
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (*.f64 x x))
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)) x) x))
#s(approx (+ (* x x) (+ (* 1/3 x) 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 (+ (* 1/3 x) 1/9) (*.f64 #s(literal 1/3 binary64) x))
#s(approx (+ (* 1/3 x) 1/9) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64)) x))
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))))
#s(approx (- (* (* x x) x) 1/27) (neg.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1 binary64)) (*.f64 x x)) x)))

eval6.0ms (0.6%)

Memory
-33.9MiB live, 12.8MiB allocated; 2ms collecting garbage
Compiler

Compiled 415 to 206 computations (50.4% saved)

prune3.0ms (0.3%)

Memory
7.9MiB live, 7.9MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New45045
Fresh000
Picked011
Done044
Total45550
Accuracy
100.0%
Counts
50 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.8%
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal -1/3 binary64)))
51.7%
(/.f64 #s(approx (- (* (* x x) x) 1/27) #s(literal -1/27 binary64)) #s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))
100.0%
(-.f64 x #s(literal 1/3 binary64))
49.9%
#s(approx (- x (/ 1 3)) x)
51.7%
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
Compiler

Compiled 84 to 79 computations (6% saved)

regimes5.0ms (0.6%)

Memory
12.9MiB live, 12.9MiB allocated; 0ms collecting garbage
Counts
8 → 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)) #s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (fma.f64 #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 #s(approx (- (* (* x x) x) 1/27) #s(literal -1/27 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) #s(literal 1/27 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #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)

regimes3.0ms (0.3%)

Memory
7.1MiB live, 7.1MiB 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
98.3%3(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
98.3%3x
Compiler

Compiled 6 to 6 computations (0% saved)

regimes2.0ms (0.2%)

Memory
6.4MiB live, 6.5MiB 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
x
1.0ms
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
Results
AccuracySegmentsBranch
51.7%1(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
51.7%1x
Compiler

Compiled 6 to 6 computations (0% saved)

bsearch16.0ms (1.7%)

Memory
-15.5MiB live, 31.6MiB allocated; 1ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
8.0ms
9.589315031204647e-8
937432012908.1792
7.0ms
-7.2840277671398885
-0.0012558313354053528
Samples
5.0ms288×0valid
Compiler

Compiled 242 to 279 computations (-15.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-sub!: 1.0ms (117.5% of total)
adjust: 0.0ms (0% of total)

derivations6.0ms (0.7%)

Memory
11.6MiB live, 11.6MiB allocated; 0ms collecting garbage
Stop Event
done
Compiler

Compiled 18 to 16 computations (11.1% saved)

preprocess46.0ms (4.8%)

Memory
5.4MiB live, 53.0MiB allocated; 31ms 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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