
Time bar (total: 1.5s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 100% | 100% | 0% | 0% | 0% | 0% | 0% | 1 |
Compiled 7 to 7 computations (0% saved)
| 339.0ms | 8 256× | 0 | valid |
ival-sub!: 142.0ms (99.3% of total)adjust: 1.0ms (0.7% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 12 |
| 1 | 18 | 12 |
| 2 | 30 | 12 |
| 3 | 70 | 12 |
| 4 | 366 | 12 |
| 5 | 3419 | 12 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
Compiled 10 to 10 computations (0% saved)
| 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))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 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) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 55 |
| 0 | 25 | 50 |
| 1 | 78 | 50 |
| 0 | 486 | 50 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | unsound |
| 1× | iter-limit |
| 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)))) |
Compiled 76 to 49 computations (35.5% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 10 | 5 | 15 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 11 | 5 | 16 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 67.9% | (/.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)) |
| ▶ | 99.9% | #s(approx (- x (/ 1 3)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) |
| ▶ | 48.7% | #s(approx (- x (/ 1 3)) x) |
| ▶ | 52.5% | #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
Compiled 74 to 74 computations (0% saved)
| 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) |
#s(approx (- x (/ 1 3)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.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 (* (- 1 (/ 1/3 x)) x) #s(hole binary64 -1/3)) |
#s(approx (* (- 1 (/ 1/3 x)) x) #s(hole binary64 (- x 1/3))) |
#s(approx (- 1 (/ 1/3 x)) #s(hole binary64 (/ -1/3 x))) |
#s(approx (- 1 (/ 1/3 x)) #s(hole binary64 (/ (- x 1/3) x))) |
#s(approx (/ 1/3 x) #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 (* (- 1 (/ 1/3 x)) x) #s(hole binary64 x)) |
#s(approx (* (- 1 (/ 1/3 x)) x) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (- 1 (/ 1/3 x)) #s(hole binary64 1)) |
#s(approx (- 1 (/ 1/3 x)) #s(hole binary64 (- 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 (* (- 1 (/ 1/3 x)) x) #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))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | -inf | ((- x 1/3) x 1/3 (- x (/ 1 3)) -1/3 (- x (/ 1 3)) (- x (/ 1 3)) (* (- 1 (/ 1/3 x)) x) (- 1 (/ 1/3 x)) 1 (/ 1/3 x) (/ (- (* (* 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 (/ 1 3)) (* (- 1 (/ 1/3 x)) x) (- 1 (/ 1/3 x)) 1 (/ 1/3 x) (/ (- (* (* 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 (/ 1 3)) (* (- 1 (/ 1/3 x)) x) (- 1 (/ 1/3 x)) 1 (/ 1/3 x) (/ (- (* (* 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) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 103 | 619 |
| 0 | 116 | 496 |
| 1 | 406 | 496 |
| 0 | 3069 | 485 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| 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) |
#s(approx (- x (/ 1 3)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.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 (* (- 1 (/ 1/3 x)) x) #s(hole binary64 -1/3)) |
#s(approx (* (- 1 (/ 1/3 x)) x) #s(hole binary64 (- x 1/3))) |
#s(approx (- 1 (/ 1/3 x)) #s(hole binary64 (/ -1/3 x))) |
#s(approx (- 1 (/ 1/3 x)) #s(hole binary64 (/ (- x 1/3) x))) |
#s(approx (/ 1/3 x) #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 (* (- 1 (/ 1/3 x)) x) #s(hole binary64 x)) |
#s(approx (* (- 1 (/ 1/3 x)) x) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (- 1 (/ 1/3 x)) #s(hole binary64 1)) |
#s(approx (- 1 (/ 1/3 x)) #s(hole binary64 (- 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 (* (- 1 (/ 1/3 x)) x) #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 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 (-.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)) (*.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 (*.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #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)))) (*.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 (pow.f64 (/.f64 (*.f64 (*.f64 x x) 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))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #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))) (fma.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))) (*.f64 (/.f64 (*.f64 (*.f64 x x) 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 x x #s(literal -1/9 binary64))) (neg.f64 (-.f64 x #s(literal -1/3 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.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 (-.f64 (*.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 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal -1/3 binary64))) |
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(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 (*.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 (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 #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 (*.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 #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)) |
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(-.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)) |
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(+.f64 #s(literal 1/9 binary64) (*.f64 (neg.f64 (neg.f64 x)) (-.f64 x #s(literal -1/3 binary64)))) |
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(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 (*.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)))) |
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(-.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)) |
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(+.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 (*.f64 x x) x) #s(literal 1/27 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 #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 1/9 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) |
#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 (* (- 1 (/ 1/3 x)) x) #s(literal -1/3 binary64)) |
#s(approx (* (- 1 (/ 1/3 x)) x) (-.f64 x #s(literal 1/3 binary64))) |
#s(approx (- 1 (/ 1/3 x)) (/.f64 #s(literal -1/3 binary64) x)) |
#s(approx (- 1 (/ 1/3 x)) (/.f64 (-.f64 x #s(literal 1/3 binary64)) x)) |
#s(approx (/ 1/3 x) (/.f64 #s(literal 1/3 binary64) x)) |
#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 (-.f64 x #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 (-.f64 x #s(literal 1/3 binary64)) x) x)) |
#s(approx (* (- 1 (/ 1/3 x)) x) x) |
#s(approx (* (- 1 (/ 1/3 x)) x) (*.f64 (/.f64 (-.f64 x #s(literal 1/3 binary64)) x) x)) |
#s(approx (- 1 (/ 1/3 x)) #s(literal 1 binary64)) |
#s(approx (- 1 (/ 1/3 x)) (/.f64 (-.f64 x #s(literal 1/3 binary64)) 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 (-.f64 x #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) (+ (* 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 (* (- 1 (/ 1/3 x)) x) (*.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))) |
Compiled 1 942 to 934 computations (51.9% saved)
7 alts after pruning (3 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 250 | 3 | 253 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 251 | 7 | 258 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 67.8% | (/.f64 (-.f64 (*.f64 (*.f64 x x) x) #s(literal 1/27 binary64)) (fma.f64 x x #s(approx (+ (* 1/3 x) 1/9) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64)) x)))) |
| ▶ | 52.9% | (/.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)) |
| ▶ | 99.8% | #s(approx (- x (/ 1 3)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x)) |
| ✓ | 99.9% | #s(approx (- x (/ 1 3)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) |
| ✓ | 48.7% | #s(approx (- x (/ 1 3)) x) |
| ✓ | 52.5% | #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
Compiled 67 to 67 computations (0% saved)
| Inputs |
|---|
#s(approx (- x (/ 1 3)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/3 binary64) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
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)))) |
#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))) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) |
#s(literal 1/3 binary64) |
#s(literal 1/9 binary64) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) #s(literal 1/27 binary64)) (fma.f64 x x #s(approx (+ (* 1/3 x) 1/9) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64)) x)))) |
(-.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 #s(approx (+ (* 1/3 x) 1/9) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #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)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64)) x) |
(-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64)) |
(/.f64 #s(literal 1/9 binary64) x) |
| Outputs |
|---|
#s(approx (- x (/ 1 3)) #s(hole binary64 -1/3)) |
#s(approx (- x (/ 1 3)) #s(hole binary64 (- x 1/3))) |
#s(approx (* (+ (* (/ 1 x) -1/3) 1) x) #s(hole binary64 -1/3)) |
#s(approx (* (+ (* (/ 1 x) -1/3) 1) x) #s(hole binary64 (- x 1/3))) |
#s(approx (+ (* (/ 1 x) -1/3) 1) #s(hole binary64 (/ -1/3 x))) |
#s(approx (+ (* (/ 1 x) -1/3) 1) #s(hole binary64 (/ (- x 1/3) x))) |
#s(approx (/ 1 x) #s(hole binary64 (/ 1 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 -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 x) x) #s(hole binary64 (pow x 3))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (* (- (/ 1/9 x) -1/3) x) #s(hole binary64 1/9)) |
#s(approx (* (- (/ 1/9 x) -1/3) x) #s(hole binary64 (+ 1/9 (* 1/3 x)))) |
#s(approx (- (/ 1/9 x) -1/3) #s(hole binary64 (/ 1/9 x))) |
#s(approx (- (/ 1/9 x) -1/3) #s(hole binary64 (/ (+ 1/9 (* 1/3 x)) x))) |
#s(approx (/ 1/9 x) #s(hole binary64 (/ 1/9 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 x) -1/3) 1) x) #s(hole binary64 x)) |
#s(approx (* (+ (* (/ 1 x) -1/3) 1) x) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (+ (* (/ 1 x) -1/3) 1) #s(hole binary64 1)) |
#s(approx (+ (* (/ 1 x) -1/3) 1) #s(hole binary64 (- 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 (* (- (/ 1/9 x) -1/3) x) #s(hole binary64 (* 1/3 x))) |
#s(approx (* (- (/ 1/9 x) -1/3) x) #s(hole binary64 (* x (+ 1/3 (* 1/9 (/ 1 x)))))) |
#s(approx (- (/ 1/9 x) -1/3) #s(hole binary64 1/3)) |
#s(approx (- (/ 1/9 x) -1/3) #s(hole binary64 (+ 1/3 (* 1/9 (/ 1 x))))) |
#s(approx (- x (/ 1 3)) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (* (+ (* (/ 1 x) -1/3) 1) x) #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))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | ((- x (/ 1 3)) (* (+ (* (/ 1 x) -1/3) 1) x) (+ (* (/ 1 x) -1/3) 1) (/ 1 x) 1 x -1/3 (/ (- (* (* 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 1/9 (/ (- (* (* 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 x) -1/3) x) (- (/ 1/9 x) -1/3) (/ 1/9 x)) |
| 2.0ms | x | @ | inf | ((- x (/ 1 3)) (* (+ (* (/ 1 x) -1/3) 1) x) (+ (* (/ 1 x) -1/3) 1) (/ 1 x) 1 x -1/3 (/ (- (* (* 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 1/9 (/ (- (* (* 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 x) -1/3) x) (- (/ 1/9 x) -1/3) (/ 1/9 x)) |
| 2.0ms | x | @ | 0 | ((- x (/ 1 3)) (* (+ (* (/ 1 x) -1/3) 1) x) (+ (* (/ 1 x) -1/3) 1) (/ 1 x) 1 x -1/3 (/ (- (* (* 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 1/9 (/ (- (* (* 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 x) -1/3) x) (- (/ 1/9 x) -1/3) (/ 1/9 x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 121 | 749 |
| 0 | 142 | 620 |
| 1 | 479 | 614 |
| 0 | 3610 | 602 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (- x (/ 1 3)) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x)) |
(*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/3 binary64) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
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)))) |
#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))) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) |
#s(literal 1/3 binary64) |
#s(literal 1/9 binary64) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) #s(literal 1/27 binary64)) (fma.f64 x x #s(approx (+ (* 1/3 x) 1/9) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64)) x)))) |
(-.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 #s(approx (+ (* 1/3 x) 1/9) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #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)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64)) x) |
(-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64)) |
(/.f64 #s(literal 1/9 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 (* (+ (* (/ 1 x) -1/3) 1) x) #s(hole binary64 -1/3)) |
#s(approx (* (+ (* (/ 1 x) -1/3) 1) x) #s(hole binary64 (- x 1/3))) |
#s(approx (+ (* (/ 1 x) -1/3) 1) #s(hole binary64 (/ -1/3 x))) |
#s(approx (+ (* (/ 1 x) -1/3) 1) #s(hole binary64 (/ (- x 1/3) x))) |
#s(approx (/ 1 x) #s(hole binary64 (/ 1 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 -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 x) x) #s(hole binary64 (pow x 3))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (* (- (/ 1/9 x) -1/3) x) #s(hole binary64 1/9)) |
#s(approx (* (- (/ 1/9 x) -1/3) x) #s(hole binary64 (+ 1/9 (* 1/3 x)))) |
#s(approx (- (/ 1/9 x) -1/3) #s(hole binary64 (/ 1/9 x))) |
#s(approx (- (/ 1/9 x) -1/3) #s(hole binary64 (/ (+ 1/9 (* 1/3 x)) x))) |
#s(approx (/ 1/9 x) #s(hole binary64 (/ 1/9 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 x) -1/3) 1) x) #s(hole binary64 x)) |
#s(approx (* (+ (* (/ 1 x) -1/3) 1) x) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (+ (* (/ 1 x) -1/3) 1) #s(hole binary64 1)) |
#s(approx (+ (* (/ 1 x) -1/3) 1) #s(hole binary64 (- 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 (* (- (/ 1/9 x) -1/3) x) #s(hole binary64 (* 1/3 x))) |
#s(approx (* (- (/ 1/9 x) -1/3) x) #s(hole binary64 (* x (+ 1/3 (* 1/9 (/ 1 x)))))) |
#s(approx (- (/ 1/9 x) -1/3) #s(hole binary64 1/3)) |
#s(approx (- (/ 1/9 x) -1/3) #s(hole binary64 (+ 1/3 (* 1/9 (/ 1 x))))) |
#s(approx (- x (/ 1 3)) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (* (+ (* (/ 1 x) -1/3) 1) x) #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 |
|---|
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) (*.f64 (/.f64 (-.f64 x #s(literal 1/3 binary64)) x) x)) |
(*.f64 (/.f64 (-.f64 x #s(literal 1/3 binary64)) x) x) |
(*.f64 x (/.f64 (-.f64 x #s(literal 1/3 binary64)) x)) |
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 x x))) x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64))) |
(/.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1 binary64))) (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64))) |
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(/.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1/27 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/27 binary64) x))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x)))) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(/.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1/27 binary64))) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) (*.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) x) x) (*.f64 (/.f64 #s(literal 1/9 binary64) x) x))) (-.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (/.f64 #s(literal 1/9 binary64) x) x))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/27 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) x) x) #s(literal 3 binary64))) (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) x) x) (*.f64 (/.f64 #s(literal 1/9 binary64) x) x)) (*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (/.f64 #s(literal 1/9 binary64) x) x))))) |
(fma.f64 (*.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) x) (neg.f64 x)) (neg.f64 x) (*.f64 (/.f64 #s(literal 1/9 binary64) x) x)) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) x) (fabs.f64 x)) (fabs.f64 x) (*.f64 (/.f64 #s(literal 1/9 binary64) x) x)) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) x) x) x (*.f64 (/.f64 #s(literal 1/9 binary64) x) x)) |
(fma.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1/9 binary64) x) x)) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1/9 binary64) x) x)) |
(fma.f64 (*.f64 x #s(literal 1/9 binary64)) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/3 binary64) x)) |
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (/.f64 #s(literal 1/9 binary64) x) x)) |
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (/.f64 #s(literal 1/3 binary64) x)) (*.f64 (/.f64 #s(literal 1/9 binary64) x) x)) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) x) (*.f64 x x) (*.f64 (/.f64 #s(literal 1/9 binary64) x) x)) |
(fma.f64 (/.f64 #s(literal 1/9 binary64) x) x (*.f64 #s(literal 1/3 binary64) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1/9 binary64) x) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/9 binary64) x) (*.f64 #s(literal 1/3 binary64) x)) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/9 binary64) x) x)) |
(fma.f64 #s(literal 1/9 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) x) (*.f64 #s(literal 1/3 binary64) x)) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/3 binary64) x) (*.f64 (/.f64 #s(literal 1/9 binary64) x) x)) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1/9 binary64) x) x)) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1/9 binary64) x) x)) |
(fma.f64 #s(literal 1/3 binary64) x (*.f64 (/.f64 #s(literal 1/9 binary64) x) x)) |
(fma.f64 x (/.f64 #s(literal 1/9 binary64) x) (*.f64 #s(literal 1/3 binary64) x)) |
(fma.f64 x #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1/9 binary64) x) x)) |
(-.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (/.f64 #s(literal -1/9 binary64) x) x)) |
(-.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (neg.f64 x) (/.f64 #s(literal 1/9 binary64) x))) |
(+.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) x) x) (*.f64 #s(literal 1/3 binary64) x)) |
(+.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 (/.f64 #s(literal 1/9 binary64) x) x)) |
(/.f64 (-.f64 #s(literal 1/27 binary64) (pow.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/9 binary64) (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/9 binary64) x))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1/9 binary64))) (neg.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1/3 binary64)))) |
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1/27 binary64))) (neg.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/27 binary64) x)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)))) |
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1/27 binary64))) (neg.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/9 binary64))) (neg.f64 (neg.f64 x))) |
(/.f64 (fma.f64 #s(literal -1/9 binary64) x (*.f64 (neg.f64 x) (*.f64 #s(literal 1/3 binary64) x))) (*.f64 (neg.f64 x) x)) |
(/.f64 (fma.f64 #s(literal 1/9 binary64) x (*.f64 x (*.f64 #s(literal 1/3 binary64) x))) (*.f64 x x)) |
(/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1/9 binary64)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1/3 binary64))) |
(/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 #s(literal 1/9 binary64) (*.f64 x x))) (*.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 1/3 binary64) x)) x)) |
(/.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal -1/81 binary64)) (*.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)) x)) |
(/.f64 (-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x))) |
(/.f64 (-.f64 (/.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1/27 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/27 binary64) x))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/27 binary64) #s(literal 1/729 binary64)) (*.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)) x)) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/27 binary64) #s(literal 1/729 binary64)) (*.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) (-.f64 #s(literal 1/81 binary64) (*.f64 #s(literal 1/27 binary64) x))) x)) |
(/.f64 (+.f64 (/.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1/27 binary64)) (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/27 binary64) x)))) |
(/.f64 (+.f64 (/.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x x) x)) #s(literal 1/27 binary64)) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/9 binary64)) (neg.f64 x)) |
(/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) x) |
(neg.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/9 binary64)) x)) |
(neg.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (neg.f64 x))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/3 binary64) #s(literal 1/3 binary64)) |
(fma.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64) #s(literal 1/3 binary64)) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/3 binary64) #s(literal 1/3 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1/3 binary64)) |
(fma.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64)) |
(fma.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/3 binary64) x) #s(literal 1/3 binary64)) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/3 binary64)) |
(-.f64 (/.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1/3 binary64)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x x) x)) (+.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/27 binary64) x))) (/.f64 #s(literal -1/27 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1/9 binary64)) (/.f64 #s(literal -1/27 binary64) x)))) |
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x))) (/.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)))) |
(-.f64 (/.f64 #s(literal 1/9 binary64) x) (/.f64 (*.f64 #s(literal -1/3 binary64) x) x)) |
(-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64)) |
(-.f64 #s(literal 1/3 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/9 binary64))) |
(-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/9 binary64) x)) |
(+.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (/.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1/3 binary64)) |
(+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/3 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64)) |
(*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/3 binary64) x)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(/.f64 #s(literal -1/9 binary64) (neg.f64 x)) |
(/.f64 #s(literal 1/9 binary64) (neg.f64 (neg.f64 x))) |
(/.f64 #s(literal 1/9 binary64) x) |
(neg.f64 (/.f64 #s(literal -1/9 binary64) x)) |
#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 (* (+ (* (/ 1 x) -1/3) 1) x) #s(literal -1/3 binary64)) |
#s(approx (* (+ (* (/ 1 x) -1/3) 1) x) (-.f64 x #s(literal 1/3 binary64))) |
#s(approx (+ (* (/ 1 x) -1/3) 1) (/.f64 #s(literal -1/3 binary64) x)) |
#s(approx (+ (* (/ 1 x) -1/3) 1) (/.f64 (-.f64 x #s(literal 1/3 binary64)) x)) |
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x)) |
#s(approx x x) |
#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) x) (*.f64 (*.f64 x x) x)) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx (* (- (/ 1/9 x) -1/3) x) #s(literal 1/9 binary64)) |
#s(approx (* (- (/ 1/9 x) -1/3) x) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
#s(approx (- (/ 1/9 x) -1/3) (/.f64 #s(literal 1/9 binary64) x)) |
#s(approx (- (/ 1/9 x) -1/3) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64))) |
#s(approx (/ 1/9 x) (/.f64 #s(literal 1/9 binary64) 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 (-.f64 x #s(literal 1/3 binary64)) x) x)) |
#s(approx (* (+ (* (/ 1 x) -1/3) 1) x) x) |
#s(approx (* (+ (* (/ 1 x) -1/3) 1) x) (*.f64 (/.f64 (-.f64 x #s(literal 1/3 binary64)) x) x)) |
#s(approx (+ (* (/ 1 x) -1/3) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (/ 1 x) -1/3) 1) (/.f64 (-.f64 x #s(literal 1/3 binary64)) 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 (-.f64 x #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 x #s(literal -1/3 binary64)) x)) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x) (*.f64 #s(literal 1/3 binary64) 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 (* (- (/ 1/9 x) -1/3) x) (*.f64 #s(literal 1/3 binary64) x)) |
#s(approx (* (- (/ 1/9 x) -1/3) x) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64)) x)) |
#s(approx (- (/ 1/9 x) -1/3) #s(literal 1/3 binary64)) |
#s(approx (- (/ 1/9 x) -1/3) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 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 (* (+ (* (/ 1 x) -1/3) 1) x) (*.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))) |
Compiled 3 880 to 1 672 computations (56.9% saved)
6 alts after pruning (2 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 426 | 2 | 428 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 0 | 3 |
| Done | 0 | 4 | 4 |
| Total | 429 | 6 | 435 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 65.4% | (/.f64 (-.f64 (*.f64 (*.f64 x x) x) #s(literal 1/27 binary64)) (fma.f64 x x #s(approx (+ (* 1/3 x) 1/9) (*.f64 #s(approx (- (/ 1/9 x) -1/3) (/.f64 #s(literal 1/9 binary64) x)) x)))) |
| ▶ | 52.4% | (/.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)) |
| ✓ | 99.9% | #s(approx (- x (/ 1 3)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) |
| ✓ | 48.7% | #s(approx (- x (/ 1 3)) x) |
| ✓ | 52.5% | #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
Compiled 64 to 63 computations (1.6% saved)
| 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) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) #s(literal 1/27 binary64)) (fma.f64 x x #s(approx (+ (* 1/3 x) 1/9) (*.f64 #s(approx (- (/ 1/9 x) -1/3) (/.f64 #s(literal 1/9 binary64) x)) x)))) |
(-.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 #s(approx (+ (* 1/3 x) 1/9) (*.f64 #s(approx (- (/ 1/9 x) -1/3) (/.f64 #s(literal 1/9 binary64) x)) x))) |
#s(approx (+ (* 1/3 x) 1/9) (*.f64 #s(approx (- (/ 1/9 x) -1/3) (/.f64 #s(literal 1/9 binary64) x)) x)) |
(*.f64 #s(approx (- (/ 1/9 x) -1/3) (/.f64 #s(literal 1/9 binary64) x)) x) |
#s(approx (- (/ 1/9 x) -1/3) (/.f64 #s(literal 1/9 binary64) x)) |
(/.f64 #s(literal 1/9 binary64) x) |
| 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) #s(hole binary64 (pow x 3))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (* (- (/ 1/9 x) -1/3) x) #s(hole binary64 1/9)) |
#s(approx (* (- (/ 1/9 x) -1/3) x) #s(hole binary64 (+ 1/9 (* 1/3 x)))) |
#s(approx (- (/ 1/9 x) -1/3) #s(hole binary64 (/ 1/9 x))) |
#s(approx (- (/ 1/9 x) -1/3) #s(hole binary64 (/ (+ 1/9 (* 1/3 x)) x))) |
#s(approx (/ 1/9 x) #s(hole binary64 (/ 1/9 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 (* (- (/ 1/9 x) -1/3) x) #s(hole binary64 (* 1/3 x))) |
#s(approx (* (- (/ 1/9 x) -1/3) x) #s(hole binary64 (* x (+ 1/3 (* 1/9 (/ 1 x)))))) |
#s(approx (- (/ 1/9 x) -1/3) #s(hole binary64 1/3)) |
#s(approx (- (/ 1/9 x) -1/3) #s(hole binary64 (+ 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))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | 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 (/ (- (* (* 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 x) -1/3) x) (- (/ 1/9 x) -1/3) (/ 1/9 x)) |
| 2.0ms | 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 (/ (- (* (* 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 x) -1/3) x) (- (/ 1/9 x) -1/3) (/ 1/9 x)) |
| 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 (/ (- (* (* 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 x) -1/3) x) (- (/ 1/9 x) -1/3) (/ 1/9 x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 96 | 595 |
| 0 | 107 | 484 |
| 1 | 419 | 476 |
| 0 | 3340 | 464 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| 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) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) #s(literal 1/27 binary64)) (fma.f64 x x #s(approx (+ (* 1/3 x) 1/9) (*.f64 #s(approx (- (/ 1/9 x) -1/3) (/.f64 #s(literal 1/9 binary64) x)) x)))) |
(-.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 #s(approx (+ (* 1/3 x) 1/9) (*.f64 #s(approx (- (/ 1/9 x) -1/3) (/.f64 #s(literal 1/9 binary64) x)) x))) |
#s(approx (+ (* 1/3 x) 1/9) (*.f64 #s(approx (- (/ 1/9 x) -1/3) (/.f64 #s(literal 1/9 binary64) x)) x)) |
(*.f64 #s(approx (- (/ 1/9 x) -1/3) (/.f64 #s(literal 1/9 binary64) x)) x) |
#s(approx (- (/ 1/9 x) -1/3) (/.f64 #s(literal 1/9 binary64) x)) |
(/.f64 #s(literal 1/9 binary64) 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) (+ (* 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) #s(hole binary64 (pow x 3))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (* (- (/ 1/9 x) -1/3) x) #s(hole binary64 1/9)) |
#s(approx (* (- (/ 1/9 x) -1/3) x) #s(hole binary64 (+ 1/9 (* 1/3 x)))) |
#s(approx (- (/ 1/9 x) -1/3) #s(hole binary64 (/ 1/9 x))) |
#s(approx (- (/ 1/9 x) -1/3) #s(hole binary64 (/ (+ 1/9 (* 1/3 x)) x))) |
#s(approx (/ 1/9 x) #s(hole binary64 (/ 1/9 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 (* (- (/ 1/9 x) -1/3) x) #s(hole binary64 (* 1/3 x))) |
#s(approx (* (- (/ 1/9 x) -1/3) x) #s(hole binary64 (* x (+ 1/3 (* 1/9 (/ 1 x)))))) |
#s(approx (- (/ 1/9 x) -1/3) #s(hole binary64 1/3)) |
#s(approx (- (/ 1/9 x) -1/3) #s(hole binary64 (+ 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 #s(literal -1/3 binary64) 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 #s(literal 1/9 binary64) (*.f64 x x) (*.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/3 binary64) x))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 #s(literal 1/9 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #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 (*.f64 x x) x) #s(literal 1/27 binary64) #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 (*.f64 x x) x) #s(literal 1/27 binary64) #s(literal 1/729 binary64))) (neg.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) (-.f64 #s(literal 1/81 binary64) (*.f64 #s(literal 1/27 binary64) x))))) |
(/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 #s(literal 1/9 binary64) (*.f64 x x))) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x))) |
(/.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal -1/81 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/27 binary64) #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 (*.f64 x x) x) #s(literal 1/27 binary64) #s(literal 1/729 binary64)) (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) (-.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 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x))) (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) (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 (*.f64 x x) x) #s(literal 1/27 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 (*.f64 (*.f64 x x) x) #s(literal 1/27 binary64)) (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) (-.f64 #s(literal 1/81 binary64) (*.f64 #s(literal 1/27 binary64) x)))) (/.f64 #s(literal 1/729 binary64) (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) (-.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) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal -1/27 binary64)) (*.f64 (fma.f64 x x #s(approx (+ (* 1/3 x) 1/9) (*.f64 #s(approx (- (/ 1/9 x) -1/3) (/.f64 #s(literal 1/9 binary64) x)) x))) (-.f64 (*.f64 x x) #s(approx (+ (* 1/3 x) 1/9) (*.f64 #s(approx (- (/ 1/9 x) -1/3) (/.f64 #s(literal 1/9 binary64) x)) x))))) (-.f64 (*.f64 x x) #s(approx (+ (* 1/3 x) 1/9) (*.f64 #s(approx (- (/ 1/9 x) -1/3) (/.f64 #s(literal 1/9 binary64) x)) x)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal -1/27 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 x x)) x (pow.f64 #s(approx (+ (* 1/3 x) 1/9) (*.f64 #s(approx (- (/ 1/9 x) -1/3) (/.f64 #s(literal 1/9 binary64) x)) x)) #s(literal 3 binary64)))) (fma.f64 #s(approx (+ (* 1/3 x) 1/9) (*.f64 #s(approx (- (/ 1/9 x) -1/3) (/.f64 #s(literal 1/9 binary64) x)) x)) (-.f64 #s(approx (+ (* 1/3 x) 1/9) (*.f64 #s(approx (- (/ 1/9 x) -1/3) (/.f64 #s(literal 1/9 binary64) x)) x)) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) x) x))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x #s(approx (+ (* 1/3 x) 1/9) (*.f64 #s(approx (- (/ 1/9 x) -1/3) (/.f64 #s(literal 1/9 binary64) x)) x)))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x #s(approx (+ (* 1/3 x) 1/9) (*.f64 #s(approx (- (/ 1/9 x) -1/3) (/.f64 #s(literal 1/9 binary64) x)) x))))) (*.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x x #s(approx (+ (* 1/3 x) 1/9) (*.f64 #s(approx (- (/ 1/9 x) -1/3) (/.f64 #s(literal 1/9 binary64) x)) x)))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x x #s(approx (+ (* 1/3 x) 1/9) (*.f64 #s(approx (- (/ 1/9 x) -1/3) (/.f64 #s(literal 1/9 binary64) x)) x)))))) (fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x x #s(approx (+ (* 1/3 x) 1/9) (*.f64 #s(approx (- (/ 1/9 x) -1/3) (/.f64 #s(literal 1/9 binary64) x)) x)))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x x #s(approx (+ (* 1/3 x) 1/9) (*.f64 #s(approx (- (/ 1/9 x) -1/3) (/.f64 #s(literal 1/9 binary64) x)) x)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x #s(approx (+ (* 1/3 x) 1/9) (*.f64 #s(approx (- (/ 1/9 x) -1/3) (/.f64 #s(literal 1/9 binary64) x)) x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x x #s(approx (+ (* 1/3 x) 1/9) (*.f64 #s(approx (- (/ 1/9 x) -1/3) (/.f64 #s(literal 1/9 binary64) x)) x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x #s(approx (+ (* 1/3 x) 1/9) (*.f64 #s(approx (- (/ 1/9 x) -1/3) (/.f64 #s(literal 1/9 binary64) x)) x)))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x #s(approx (+ (* 1/3 x) 1/9) (*.f64 #s(approx (- (/ 1/9 x) -1/3) (/.f64 #s(literal 1/9 binary64) x)) x)))) (fma.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x x #s(approx (+ (* 1/3 x) 1/9) (*.f64 #s(approx (- (/ 1/9 x) -1/3) (/.f64 #s(literal 1/9 binary64) x)) x)))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x x #s(approx (+ (* 1/3 x) 1/9) (*.f64 #s(approx (- (/ 1/9 x) -1/3) (/.f64 #s(literal 1/9 binary64) x)) x)))) (*.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x #s(approx (+ (* 1/3 x) 1/9) (*.f64 #s(approx (- (/ 1/9 x) -1/3) (/.f64 #s(literal 1/9 binary64) x)) x)))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x x #s(approx (+ (* 1/3 x) 1/9) (*.f64 #s(approx (- (/ 1/9 x) -1/3) (/.f64 #s(literal 1/9 binary64) x)) x)))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal -1/27 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x #s(approx (+ (* 1/3 x) 1/9) (*.f64 #s(approx (- (/ 1/9 x) -1/3) (/.f64 #s(literal 1/9 binary64) x)) x)))))) |
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(fma.f64 x x #s(approx (+ (* 1/3 x) 1/9) (*.f64 #s(approx (- (/ 1/9 x) -1/3) (/.f64 #s(literal 1/9 binary64) x)) x))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (-.f64 (*.f64 x x) #s(approx (+ (* 1/3 x) 1/9) (*.f64 #s(approx (- (/ 1/9 x) -1/3) (/.f64 #s(literal 1/9 binary64) x)) x)))) (/.f64 (*.f64 #s(approx (+ (* 1/3 x) 1/9) (*.f64 #s(approx (- (/ 1/9 x) -1/3) (/.f64 #s(literal 1/9 binary64) x)) x)) #s(approx (+ (* 1/3 x) 1/9) (*.f64 #s(approx (- (/ 1/9 x) -1/3) (/.f64 #s(literal 1/9 binary64) x)) x))) (-.f64 (*.f64 x x) #s(approx (+ (* 1/3 x) 1/9) (*.f64 #s(approx (- (/ 1/9 x) -1/3) (/.f64 #s(literal 1/9 binary64) x)) x))))) |
(-.f64 #s(approx (+ (* 1/3 x) 1/9) (*.f64 #s(approx (- (/ 1/9 x) -1/3) (/.f64 #s(literal 1/9 binary64) x)) x)) (*.f64 (neg.f64 x) x)) |
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (fma.f64 #s(approx (+ (* 1/3 x) 1/9) (*.f64 #s(approx (- (/ 1/9 x) -1/3) (/.f64 #s(literal 1/9 binary64) x)) x)) (-.f64 #s(approx (+ (* 1/3 x) 1/9) (*.f64 #s(approx (- (/ 1/9 x) -1/3) (/.f64 #s(literal 1/9 binary64) x)) x)) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) x) x))) (/.f64 (pow.f64 #s(approx (+ (* 1/3 x) 1/9) (*.f64 #s(approx (- (/ 1/9 x) -1/3) (/.f64 #s(literal 1/9 binary64) x)) x)) #s(literal 3 binary64)) (fma.f64 #s(approx (+ (* 1/3 x) 1/9) (*.f64 #s(approx (- (/ 1/9 x) -1/3) (/.f64 #s(literal 1/9 binary64) x)) x)) (-.f64 #s(approx (+ (* 1/3 x) 1/9) (*.f64 #s(approx (- (/ 1/9 x) -1/3) (/.f64 #s(literal 1/9 binary64) x)) x)) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) x) x)))) |
(+.f64 #s(approx (+ (* 1/3 x) 1/9) (*.f64 #s(approx (- (/ 1/9 x) -1/3) (/.f64 #s(literal 1/9 binary64) x)) x)) (*.f64 x x)) |
(+.f64 (*.f64 x x) #s(approx (+ (* 1/3 x) 1/9) (*.f64 #s(approx (- (/ 1/9 x) -1/3) (/.f64 #s(literal 1/9 binary64) x)) x))) |
#s(approx (+ (* 1/3 x) 1/9) (*.f64 #s(approx (- (/ 1/9 x) -1/3) (/.f64 #s(literal 1/9 binary64) x)) x)) |
(*.f64 #s(approx (- (/ 1/9 x) -1/3) (/.f64 #s(literal 1/9 binary64) x)) x) |
(*.f64 x #s(approx (- (/ 1/9 x) -1/3) (/.f64 #s(literal 1/9 binary64) x))) |
#s(approx (- (/ 1/9 x) -1/3) (/.f64 #s(literal 1/9 binary64) x)) |
(*.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1/3 binary64)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/3 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64)) |
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/3 binary64) x)) |
(*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
(/.f64 #s(literal -1/9 binary64) (neg.f64 x)) |
(/.f64 #s(literal 1/9 binary64) (neg.f64 (neg.f64 x))) |
(/.f64 #s(literal 1/9 binary64) x) |
(neg.f64 (/.f64 #s(literal -1/9 binary64) x)) |
#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) (*.f64 (*.f64 x x) x)) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx (* (- (/ 1/9 x) -1/3) x) #s(literal 1/9 binary64)) |
#s(approx (* (- (/ 1/9 x) -1/3) x) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
#s(approx (- (/ 1/9 x) -1/3) (/.f64 #s(literal 1/9 binary64) x)) |
#s(approx (- (/ 1/9 x) -1/3) (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) x)) |
#s(approx (/ 1/9 x) (/.f64 #s(literal 1/9 binary64) 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 (* (- (/ 1/9 x) -1/3) x) (*.f64 #s(literal 1/3 binary64) x)) |
#s(approx (* (- (/ 1/9 x) -1/3) x) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64)) x)) |
#s(approx (- (/ 1/9 x) -1/3) #s(literal 1/3 binary64)) |
#s(approx (- (/ 1/9 x) -1/3) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 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))) |
Compiled 2 067 to 715 computations (65.4% saved)
6 alts after pruning (1 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 175 | 1 | 176 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 4 | 4 |
| Total | 176 | 6 | 182 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 52.4% | (/.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)))) |
| 52.3% | (/.f64 #s(approx (- (* (* x x) x) 1/27) #s(literal -1/27 binary64)) #s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(approx (+ (* 1/3 x) 1/9) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64)) x)))) | |
| ✓ | 100.0% | (-.f64 x #s(literal 1/3 binary64)) |
| ✓ | 99.9% | #s(approx (- x (/ 1 3)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) |
| ✓ | 48.7% | #s(approx (- x (/ 1 3)) x) |
| ✓ | 52.5% | #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
Compiled 144 to 124 computations (13.9% saved)
| 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)))) |
#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 (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/3 binary64) #s(literal 1 binary64)) x)) |
(/.f64 #s(approx (- (* (* x x) x) 1/27) #s(literal -1/27 binary64)) #s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(approx (+ (* 1/3 x) 1/9) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64)) x)))) |
(/.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)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) #s(literal 1/27 binary64)) (fma.f64 x x #s(approx (+ (* 1/3 x) 1/9) (*.f64 #s(approx (- (/ 1/9 x) -1/3) (/.f64 #s(literal 1/9 binary64) x)) x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) #s(literal 1/27 binary64)) (fma.f64 x x #s(approx (+ (* 1/3 x) 1/9) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64)) x)))) |
| Outputs |
|---|
(-.f64 x #s(literal 1/3 binary64)) |
2 calls:
| 3.0ms | x |
| 3.0ms | (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| 100.0% | 1 | x |
Compiled 6 to 6 computations (0% saved)
| 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) |
2 calls:
| 1.0ms | x |
| 1.0ms | (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.5% | 3 | (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| 97.5% | 3 | x |
Compiled 6 to 6 computations (0% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
| Outputs |
|---|
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
2 calls:
| 1.0ms | x |
| 1.0ms | (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.5% | 1 | (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| 52.5% | 1 | x |
Compiled 6 to 6 computations (0% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 4.46149511116289e-9 | 34231.26531169792 |
| 21.0ms | -278.74315824015366 | -0.014210951820443934 |
| 20.0ms | 288× | 0 | valid |
Compiled 242 to 279 computations (-15.3% saved)
ival-sub!: 1.0ms (111.3% of total)adjust: 0.0ms (0% of total)| 1× | fuel |
Compiled 18 to 16 computations (11.1% saved)
Compiled 23 to 21 computations (8.7% saved)
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