
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)
| 317.0ms | 8 256× | 0 | valid |
ival-sub!: 44.0ms (97.6% of total)adjust: 1.0ms (2.2% 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 | 3421 | 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 (- 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 | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | ((- x (/ 1 3)) x (/ 1 3) 1 3) |
| 0.0ms | x | @ | inf | ((- x (/ 1 3)) x (/ 1 3) 1 3) |
| 0.0ms | x | @ | 0 | ((- x (/ 1 3)) x (/ 1 3) 1 3) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 50 |
| 0 | 24 | 45 |
| 1 | 77 | 45 |
| 0 | 479 | 45 |
| 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 (- 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)) (*.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 145 to 48 computations (66.9% saved)
3 alts after pruning (3 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 11 | 3 | 14 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 12 | 3 | 15 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 68.2% | (/.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)) |
| ▶ | 49.2% | #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
Compiled 25 to 20 computations (20% saved)
| Inputs |
|---|
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
#s(literal -1/3 binary64) |
(-.f64 x #s(literal 1/3 binary64)) |
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 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 (- x (/ 1 3)) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#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) (+ 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 x) x) 1/27) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | x | @ | 0 | ((- x (/ 1 3)) -1/3 (- x 1/3) 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)) -1/3 (- x 1/3) 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)) -1/3 (- x 1/3) 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) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 73 | 282 |
| 0 | 83 | 239 |
| 1 | 344 | 239 |
| 0 | 2875 | 229 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
#s(literal -1/3 binary64) |
(-.f64 x #s(literal 1/3 binary64)) |
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 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 (- x (/ 1 3)) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#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) (+ 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 x) x) 1/27) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1))))) |
| Outputs |
|---|
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
#s(literal -1/3 binary64) |
(*.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 (-.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 (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 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal -1/3 binary64))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) #s(literal -1/729 binary64)) (*.f64 (fma.f64 (*.f64 x x) x #s(literal 1/27 binary64)) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) x) #s(literal 3 binary64)) #s(literal 1/19683 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/27 binary64) #s(literal 1/729 binary64))) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal -1/27 binary64))) (fma.f64 (neg.f64 x) (-.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))) |
(/.f64 (fma.f64 (*.f64 x x) x #s(literal -1/27 binary64)) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))) |
(neg.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal -1/27 binary64)) (fma.f64 (neg.f64 x) (-.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal -1/27 binary64))) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)))) |
(-.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 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)))) |
(-.f64 x #s(literal 1/3 binary64)) |
(+.f64 x #s(literal -1/3 binary64)) |
x |
#s(literal 1/3 binary64) |
(*.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 (-.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)))) |
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(-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 #s(literal -1/3 binary64) x)) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) 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 (*.f64 x x) x) x) (*.f64 x x)) (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 (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 #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 (-.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) (fma.f64 x x #s(literal 1/9 binary64))) |
(+.f64 (*.f64 #s(literal 1/3 binary64) x) (+.f64 #s(literal 1/9 binary64) (*.f64 x x))) |
(+.f64 (*.f64 x x) (fma.f64 #s(literal 1/3 binary64) 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)) |
(*.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 (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 (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal 1/9 binary64)))) (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)))) |
(/.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 x x) #s(literal 1/9 binary64) (-.f64 #s(literal 1/81 binary64) (*.f64 #s(literal 1/27 binary64) x))))) |
(/.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 (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 (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal 1/9 binary64))) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/27 binary64) #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 (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))) |
(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)))) |
(-.f64 (/.f64 #s(literal 1/81 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/9 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 #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 (*.f64 (*.f64 (*.f64 x x) x) #s(literal 1/27 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 1/729 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 1/729 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 (/ 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 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 (- x (/ 1 3)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) 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 (*.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 (/ 1 3)) (*.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 4 081 to 687 computations (83.2% saved)
4 alts after pruning (2 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 183 | 2 | 185 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 2 | 3 |
| Done | 0 | 0 | 0 |
| Total | 184 | 4 | 188 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 68.2% | (/.f64 (fma.f64 (*.f64 x x) x #s(literal -1/27 binary64)) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))) |
| ▶ | 43.4% | (/.f64 (-.f64 (*.f64 (*.f64 x x) x) #s(literal 1/27 binary64)) #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))) |
| ✓ | 100.0% | (-.f64 x #s(literal 1/3 binary64)) |
| ✓ | 49.2% | #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
Compiled 55 to 40 computations (27.3% saved)
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) #s(literal 1/27 binary64)) #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))) |
(-.f64 (*.f64 (*.f64 x x) x) #s(literal 1/27 binary64)) |
(*.f64 (*.f64 x x) x) |
(*.f64 x x) |
x |
#s(literal 1/27 binary64) |
#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)) |
(*.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) |
(*.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) |
(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)) |
(/.f64 #s(literal 1/3 binary64) x) |
#s(literal 1/3 binary64) |
(-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 (*.f64 x x) x #s(literal -1/27 binary64)) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))) |
(fma.f64 (*.f64 x x) x #s(literal -1/27 binary64)) |
#s(literal -1/27 binary64) |
(fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) |
(-.f64 x #s(literal -1/3 binary64)) |
#s(literal -1/3 binary64) |
#s(literal 1/9 binary64) |
| Outputs |
|---|
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* 1/3 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 #s(hole binary64 x)) |
#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) (- (/ 1/3 x) -1)) 1) x) #s(hole binary64 (/ 1/9 x))) |
#s(approx (* (+ (* (/ 1/3 x) (- (/ 1/3 x) -1)) 1) x) #s(hole binary64 (/ (+ 1/9 (* 1/3 x)) x))) |
#s(approx (* (+ (* (/ 1/3 x) (- (/ 1/3 x) -1)) 1) x) #s(hole binary64 (/ (+ 1/9 (* x (+ 1/3 x))) x))) |
#s(approx (+ (* (/ 1/3 x) (- (/ 1/3 x) -1)) 1) #s(hole binary64 (/ 1/9 (pow x 2)))) |
#s(approx (+ (* (/ 1/3 x) (- (/ 1/3 x) -1)) 1) #s(hole binary64 (/ (+ 1/9 (* 1/3 x)) (pow x 2)))) |
#s(approx (+ (* (/ 1/3 x) (- (/ 1/3 x) -1)) 1) #s(hole binary64 (/ (+ 1/9 (* x (+ 1/3 x))) (pow x 2)))) |
#s(approx (/ 1/3 x) #s(hole binary64 (/ 1/3 x))) |
#s(approx (- (/ 1/3 x) -1) #s(hole binary64 (/ (+ 1/3 x) x))) |
#s(approx (- x -1/3) #s(hole binary64 1/3)) |
#s(approx (- x -1/3) #s(hole binary64 (+ 1/3 x))) |
#s(approx (/ (- (* (* x 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) (- 1 (* 1/27 (/ 1 (pow x 3))))))) |
#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) (- (/ 1/3 x) -1)) 1) x) #s(hole binary64 (* x (+ 1 (* 1/3 (/ 1 x)))))) |
#s(approx (* (+ (* (/ 1/3 x) (- (/ 1/3 x) -1)) 1) x) #s(hole binary64 (* x (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))))) |
#s(approx (+ (* (/ 1/3 x) (- (/ 1/3 x) -1)) 1) #s(hole binary64 1)) |
#s(approx (+ (* (/ 1/3 x) (- (/ 1/3 x) -1)) 1) #s(hole binary64 (+ 1 (* 1/3 (/ 1 x))))) |
#s(approx (+ (* (/ 1/3 x) (- (/ 1/3 x) -1)) 1) #s(hole binary64 (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 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))))) |
#s(approx (* (+ (* (/ 1/3 x) (- (/ 1/3 x) -1)) 1) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)) 1))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | -inf | ((/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) (- (* (* x x) x) 1/27) (* (* x x) x) (* x x) x 1/27 (+ (* x x) (+ (* 1/3 x) 1/9)) (* (* (+ (* (/ 1/3 x) (- (/ 1/3 x) -1)) 1) x) x) (* (+ (* (/ 1/3 x) (- (/ 1/3 x) -1)) 1) x) (+ (* (/ 1/3 x) (- (/ 1/3 x) -1)) 1) (/ 1/3 x) 1/3 (- (/ 1/3 x) -1) -1 1 (/ (+ (* (* x x) x) -1/27) (+ (* (- x -1/3) x) 1/9)) (+ (* (* x x) x) -1/27) -1/27 (+ (* (- x -1/3) x) 1/9) (- x -1/3) -1/3 1/9) |
| 2.0ms | x | @ | 0 | ((/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) (- (* (* x x) x) 1/27) (* (* x x) x) (* x x) x 1/27 (+ (* x x) (+ (* 1/3 x) 1/9)) (* (* (+ (* (/ 1/3 x) (- (/ 1/3 x) -1)) 1) x) x) (* (+ (* (/ 1/3 x) (- (/ 1/3 x) -1)) 1) x) (+ (* (/ 1/3 x) (- (/ 1/3 x) -1)) 1) (/ 1/3 x) 1/3 (- (/ 1/3 x) -1) -1 1 (/ (+ (* (* x x) x) -1/27) (+ (* (- x -1/3) x) 1/9)) (+ (* (* x x) x) -1/27) -1/27 (+ (* (- x -1/3) x) 1/9) (- x -1/3) -1/3 1/9) |
| 2.0ms | x | @ | inf | ((/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) (- (* (* x x) x) 1/27) (* (* x x) x) (* x x) x 1/27 (+ (* x x) (+ (* 1/3 x) 1/9)) (* (* (+ (* (/ 1/3 x) (- (/ 1/3 x) -1)) 1) x) x) (* (+ (* (/ 1/3 x) (- (/ 1/3 x) -1)) 1) x) (+ (* (/ 1/3 x) (- (/ 1/3 x) -1)) 1) (/ 1/3 x) 1/3 (- (/ 1/3 x) -1) -1 1 (/ (+ (* (* x x) x) -1/27) (+ (* (- x -1/3) x) 1/9)) (+ (* (* x x) x) -1/27) -1/27 (+ (* (- x -1/3) x) 1/9) (- x -1/3) -1/3 1/9) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 112 | 703 |
| 0 | 135 | 601 |
| 1 | 539 | 531 |
| 0 | 4694 | 516 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) #s(literal 1/27 binary64)) #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))) |
(-.f64 (*.f64 (*.f64 x x) x) #s(literal 1/27 binary64)) |
(*.f64 (*.f64 x x) x) |
(*.f64 x x) |
x |
#s(literal 1/27 binary64) |
#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)) |
(*.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) |
(*.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) |
(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)) |
(/.f64 #s(literal 1/3 binary64) x) |
#s(literal 1/3 binary64) |
(-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 (*.f64 x x) x #s(literal -1/27 binary64)) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))) |
(fma.f64 (*.f64 x x) x #s(literal -1/27 binary64)) |
#s(literal -1/27 binary64) |
(fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) |
(-.f64 x #s(literal -1/3 binary64)) |
#s(literal -1/3 binary64) |
#s(literal 1/9 binary64) |
#s(approx (/ (- (* (* x x) x) 1/27) (+ (* x x) (+ (* 1/3 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 #s(hole binary64 x)) |
#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) (- (/ 1/3 x) -1)) 1) x) #s(hole binary64 (/ 1/9 x))) |
#s(approx (* (+ (* (/ 1/3 x) (- (/ 1/3 x) -1)) 1) x) #s(hole binary64 (/ (+ 1/9 (* 1/3 x)) x))) |
#s(approx (* (+ (* (/ 1/3 x) (- (/ 1/3 x) -1)) 1) x) #s(hole binary64 (/ (+ 1/9 (* x (+ 1/3 x))) x))) |
#s(approx (+ (* (/ 1/3 x) (- (/ 1/3 x) -1)) 1) #s(hole binary64 (/ 1/9 (pow x 2)))) |
#s(approx (+ (* (/ 1/3 x) (- (/ 1/3 x) -1)) 1) #s(hole binary64 (/ (+ 1/9 (* 1/3 x)) (pow x 2)))) |
#s(approx (+ (* (/ 1/3 x) (- (/ 1/3 x) -1)) 1) #s(hole binary64 (/ (+ 1/9 (* x (+ 1/3 x))) (pow x 2)))) |
#s(approx (/ 1/3 x) #s(hole binary64 (/ 1/3 x))) |
#s(approx (- (/ 1/3 x) -1) #s(hole binary64 (/ (+ 1/3 x) x))) |
#s(approx (- x -1/3) #s(hole binary64 1/3)) |
#s(approx (- x -1/3) #s(hole binary64 (+ 1/3 x))) |
#s(approx (/ (- (* (* x 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) (- 1 (* 1/27 (/ 1 (pow x 3))))))) |
#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) (- (/ 1/3 x) -1)) 1) x) #s(hole binary64 (* x (+ 1 (* 1/3 (/ 1 x)))))) |
#s(approx (* (+ (* (/ 1/3 x) (- (/ 1/3 x) -1)) 1) x) #s(hole binary64 (* x (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))))) |
#s(approx (+ (* (/ 1/3 x) (- (/ 1/3 x) -1)) 1) #s(hole binary64 1)) |
#s(approx (+ (* (/ 1/3 x) (- (/ 1/3 x) -1)) 1) #s(hole binary64 (+ 1 (* 1/3 (/ 1 x))))) |
#s(approx (+ (* (/ 1/3 x) (- (/ 1/3 x) -1)) 1) #s(hole binary64 (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 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))))) |
#s(approx (* (+ (* (/ 1/3 x) (- (/ 1/3 x) -1)) 1) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)) 1))))) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1 binary64)) x #s(literal 1/3 binary64)) x))) (/.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1 binary64)) x #s(literal 1/3 binary64)) x)))) (*.f64 (/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1 binary64)) x #s(literal 1/3 binary64)) x))) (/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1 binary64)) x #s(literal 1/3 binary64)) x))))) (fma.f64 (*.f64 x x) (/.f64 x #s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1 binary64)) x #s(literal 1/3 binary64)) x))) (/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1 binary64)) x #s(literal 1/3 binary64)) x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1 binary64)) x #s(literal 1/3 binary64)) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1 binary64)) x #s(literal 1/3 binary64)) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1 binary64)) x #s(literal 1/3 binary64)) x))) (/.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1 binary64)) x #s(literal 1/3 binary64)) x))) (fma.f64 (/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1 binary64)) x #s(literal 1/3 binary64)) x))) (/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1 binary64)) x #s(literal 1/3 binary64)) x))) (*.f64 (/.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1 binary64)) x #s(literal 1/3 binary64)) x))) (/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1 binary64)) x #s(literal 1/3 binary64)) x))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1 binary64)) x #s(literal 1/3 binary64)) x))) (*.f64 #s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1 binary64)) x #s(literal 1/3 binary64)) x)) #s(literal 1/27 binary64))) (*.f64 #s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1 binary64)) x #s(literal 1/3 binary64)) x)) #s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1 binary64)) x #s(literal 1/3 binary64)) x)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (neg.f64 x) x) x #s(literal 1/27 binary64))) (neg.f64 (neg.f64 #s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1 binary64)) x #s(literal 1/3 binary64)) x))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) #s(literal -1/729 binary64)) (*.f64 (fma.f64 (*.f64 x x) x #s(literal 1/27 binary64)) #s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1 binary64)) x #s(literal 1/3 binary64)) x)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) x) #s(literal 3 binary64)) #s(literal 1/19683 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/27 binary64) #s(literal 1/729 binary64))) #s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1 binary64)) x #s(literal 1/3 binary64)) x)))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 x) x) x #s(literal 1/27 binary64)) (neg.f64 #s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1 binary64)) x #s(literal 1/3 binary64)) x)))) |
(/.f64 (fma.f64 (*.f64 x x) x #s(literal -1/27 binary64)) #s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1 binary64)) x #s(literal 1/3 binary64)) x))) |
(neg.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal -1/27 binary64)) (neg.f64 #s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1 binary64)) x #s(literal 1/3 binary64)) x))))) |
(neg.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 x) x) x #s(literal 1/27 binary64)) #s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1 binary64)) x #s(literal 1/3 binary64)) x)))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) x) #s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1 binary64)) x #s(literal 1/3 binary64)) x))) (/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1 binary64)) x #s(literal 1/3 binary64)) x)))) |
(*.f64 (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))) |
(/.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))) (-.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 x x) x))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) x) #s(literal 3 binary64)) #s(literal -1/19683 binary64))) (neg.f64 (fma.f64 #s(literal -1/27 binary64) (-.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) #s(literal -1/729 binary64))) (neg.f64 (fma.f64 (*.f64 x x) x #s(literal 1/27 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) x) #s(literal 3 binary64)) #s(literal 1/19683 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/27 binary64) #s(literal 1/729 binary64))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) #s(literal -1/729 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1/27 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) x) #s(literal 3 binary64)) #s(literal -1/19683 binary64)) (+.f64 #s(literal 1/729 binary64) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -1/27 binary64))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) x) #s(literal 3 binary64)) #s(literal -1/19683 binary64)) (fma.f64 #s(literal -1/27 binary64) (-.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) x) #s(literal 3 binary64)) #s(literal 1/19683 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/27 binary64) #s(literal 1/729 binary64)))) |
(fma.f64 (*.f64 x (fabs.f64 x)) (fabs.f64 x) #s(literal -1/27 binary64)) |
(fma.f64 (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal -1/27 binary64)) |
(fma.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal -1/27 binary64)) |
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/27 binary64)) |
(fma.f64 (*.f64 (neg.f64 x) x) (neg.f64 x) #s(literal -1/27 binary64)) |
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) x) #s(literal -1/27 binary64)) |
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) x) #s(literal -1/27 binary64)) |
(fma.f64 (*.f64 x x) x #s(literal -1/27 binary64)) |
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (fma.f64 (*.f64 x x) x #s(literal 1/27 binary64))) (/.f64 #s(literal 1/729 binary64) (fma.f64 (*.f64 x x) x #s(literal 1/27 binary64)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x x) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/27 binary64) #s(literal 1/729 binary64)))) (/.f64 #s(literal 1/19683 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) (fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1/27 binary64) #s(literal 1/729 binary64))))) |
(-.f64 (*.f64 (*.f64 x x) x) #s(literal 1/27 binary64)) |
(-.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 (neg.f64 x) x) x)) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x x) x) #s(literal 3 binary64)) (fma.f64 #s(literal -1/27 binary64) (-.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)))) (/.f64 #s(literal -1/19683 binary64) (fma.f64 #s(literal -1/27 binary64) (-.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x))))) |
(+.f64 (*.f64 (*.f64 x x) x) #s(literal -1/27 binary64)) |
(+.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 x x) x)) |
(*.f64 (*.f64 x (fabs.f64 x)) (fabs.f64 x)) |
(*.f64 (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 x #s(literal 3/2 binary64)))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)) |
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) x)) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)) |
(*.f64 (*.f64 x x) x) |
(*.f64 x (*.f64 x x)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))) |
(*.f64 (*.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x))) |
(*.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x)) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 x)) (*.f64 #s(literal -1 binary64) (fabs.f64 x))) |
(*.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(*.f64 (*.f64 (fabs.f64 x) #s(literal -1 binary64)) (*.f64 (fabs.f64 x) #s(literal -1 binary64))) |
(*.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64))) |
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x))) |
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1 binary64))) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x x))) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 x) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) #s(literal 0 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) |
x |
#s(literal 1/27 binary64) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1 binary64)) x #s(literal 1/3 binary64)) x)) |
(*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64)) x) #s(literal -1 binary64)) (fabs.f64 x)) (fabs.f64 x)) |
(*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64)) x) #s(literal -1 binary64)) (neg.f64 x)) (neg.f64 x)) |
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(+.f64 x #s(literal 1/3 binary64)) |
#s(literal -1/3 binary64) |
#s(literal 1/9 binary64) |
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#s(approx (* (* x x) x) (*.f64 (*.f64 x x) x)) |
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#s(approx x x) |
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#s(approx (- x -1/3) #s(literal 1/3 binary64)) |
#s(approx (- x -1/3) (-.f64 x #s(literal -1/3 binary64))) |
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#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 (-.f64 x #s(literal -1/3 binary64)) x)) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1 binary64)) x #s(literal 1/3 binary64)) x)) |
#s(approx (* (+ (* (/ 1/3 x) (- (/ 1/3 x) -1)) 1) x) (-.f64 x #s(literal -1/3 binary64))) |
#s(approx (* (+ (* (/ 1/3 x) (- (/ 1/3 x) -1)) 1) x) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1 binary64)) x #s(literal 1/3 binary64))) |
#s(approx (+ (* (/ 1/3 x) (- (/ 1/3 x) -1)) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (/ 1/3 x) (- (/ 1/3 x) -1)) 1) (/.f64 (-.f64 x #s(literal -1/3 binary64)) x)) |
#s(approx (+ (* (/ 1/3 x) (- (/ 1/3 x) -1)) 1) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #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 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) |
#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))) |
#s(approx (* (+ (* (/ 1/3 x) (- (/ 1/3 x) -1)) 1) x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1/3 binary64)) x) #s(literal 1 binary64)))) |
Compiled 19 469 to 2 547 computations (86.9% saved)
4 alts after pruning (1 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 569 | 1 | 570 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 2 | 2 |
| Total | 570 | 4 | 574 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 68.2% | (/.f64 (fma.f64 (*.f64 x x) x #s(literal -1/27 binary64)) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))) |
| ▶ | 24.6% | (/.f64 #s(approx (- (* (* x x) x) 1/27) #s(literal -1/27 binary64)) #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))) |
| ✓ | 100.0% | (-.f64 x #s(literal 1/3 binary64)) |
| ✓ | 49.2% | #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
Compiled 57 to 41 computations (28.1% saved)
| Inputs |
|---|
(/.f64 #s(approx (- (* (* x x) x) 1/27) #s(literal -1/27 binary64)) #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 (- (* (* x x) x) 1/27) #s(literal -1/27 binary64)) |
#s(literal -1/27 binary64) |
#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)) |
(*.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) |
(*.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) |
(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)) |
(/.f64 #s(literal 1/3 binary64) x) |
#s(literal 1/3 binary64) |
x |
(-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(literal 1 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) (- (/ 1/3 x) -1)) 1) x) #s(hole binary64 (/ 1/9 x))) |
#s(approx (* (+ (* (/ 1/3 x) (- (/ 1/3 x) -1)) 1) x) #s(hole binary64 (/ (+ 1/9 (* 1/3 x)) x))) |
#s(approx (* (+ (* (/ 1/3 x) (- (/ 1/3 x) -1)) 1) x) #s(hole binary64 (/ (+ 1/9 (* x (+ 1/3 x))) x))) |
#s(approx (+ (* (/ 1/3 x) (- (/ 1/3 x) -1)) 1) #s(hole binary64 (/ 1/9 (pow x 2)))) |
#s(approx (+ (* (/ 1/3 x) (- (/ 1/3 x) -1)) 1) #s(hole binary64 (/ (+ 1/9 (* 1/3 x)) (pow x 2)))) |
#s(approx (+ (* (/ 1/3 x) (- (/ 1/3 x) -1)) 1) #s(hole binary64 (/ (+ 1/9 (* x (+ 1/3 x))) (pow x 2)))) |
#s(approx (/ 1/3 x) #s(hole binary64 (/ 1/3 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- (/ 1/3 x) -1) #s(hole binary64 (/ (+ 1/3 x) 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) (- (/ 1/3 x) -1)) 1) x) #s(hole binary64 (* x (+ 1 (* 1/3 (/ 1 x)))))) |
#s(approx (* (+ (* (/ 1/3 x) (- (/ 1/3 x) -1)) 1) x) #s(hole binary64 (* x (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))))) |
#s(approx (+ (* (/ 1/3 x) (- (/ 1/3 x) -1)) 1) #s(hole binary64 1)) |
#s(approx (+ (* (/ 1/3 x) (- (/ 1/3 x) -1)) 1) #s(hole binary64 (+ 1 (* 1/3 (/ 1 x))))) |
#s(approx (+ (* (/ 1/3 x) (- (/ 1/3 x) -1)) 1) #s(hole binary64 (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 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))))) |
#s(approx (* (+ (* (/ 1/3 x) (- (/ 1/3 x) -1)) 1) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)) 1))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 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) (- (/ 1/3 x) -1)) 1) x) x) (* (+ (* (/ 1/3 x) (- (/ 1/3 x) -1)) 1) x) (+ (* (/ 1/3 x) (- (/ 1/3 x) -1)) 1) (/ 1/3 x) 1/3 x (- (/ 1/3 x) -1) -1 1) |
| 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) (- (/ 1/3 x) -1)) 1) x) x) (* (+ (* (/ 1/3 x) (- (/ 1/3 x) -1)) 1) x) (+ (* (/ 1/3 x) (- (/ 1/3 x) -1)) 1) (/ 1/3 x) 1/3 x (- (/ 1/3 x) -1) -1 1) |
| 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) (- (/ 1/3 x) -1)) 1) x) x) (* (+ (* (/ 1/3 x) (- (/ 1/3 x) -1)) 1) x) (+ (* (/ 1/3 x) (- (/ 1/3 x) -1)) 1) (/ 1/3 x) 1/3 x (- (/ 1/3 x) -1) -1 1) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 102 | 664 |
| 0 | 114 | 566 |
| 1 | 468 | 511 |
| 0 | 4145 | 487 |
| 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)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)) x) x))) |
#s(approx (- (* (* x x) x) 1/27) #s(literal -1/27 binary64)) |
#s(literal -1/27 binary64) |
#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)) |
(*.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) |
(*.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) |
(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)) |
(/.f64 #s(literal 1/3 binary64) x) |
#s(literal 1/3 binary64) |
x |
(-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(literal 1 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) (- (/ 1/3 x) -1)) 1) x) #s(hole binary64 (/ 1/9 x))) |
#s(approx (* (+ (* (/ 1/3 x) (- (/ 1/3 x) -1)) 1) x) #s(hole binary64 (/ (+ 1/9 (* 1/3 x)) x))) |
#s(approx (* (+ (* (/ 1/3 x) (- (/ 1/3 x) -1)) 1) x) #s(hole binary64 (/ (+ 1/9 (* x (+ 1/3 x))) x))) |
#s(approx (+ (* (/ 1/3 x) (- (/ 1/3 x) -1)) 1) #s(hole binary64 (/ 1/9 (pow x 2)))) |
#s(approx (+ (* (/ 1/3 x) (- (/ 1/3 x) -1)) 1) #s(hole binary64 (/ (+ 1/9 (* 1/3 x)) (pow x 2)))) |
#s(approx (+ (* (/ 1/3 x) (- (/ 1/3 x) -1)) 1) #s(hole binary64 (/ (+ 1/9 (* x (+ 1/3 x))) (pow x 2)))) |
#s(approx (/ 1/3 x) #s(hole binary64 (/ 1/3 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- (/ 1/3 x) -1) #s(hole binary64 (/ (+ 1/3 x) 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) (- (/ 1/3 x) -1)) 1) x) #s(hole binary64 (* x (+ 1 (* 1/3 (/ 1 x)))))) |
#s(approx (* (+ (* (/ 1/3 x) (- (/ 1/3 x) -1)) 1) x) #s(hole binary64 (* x (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))))) |
#s(approx (+ (* (/ 1/3 x) (- (/ 1/3 x) -1)) 1) #s(hole binary64 1)) |
#s(approx (+ (* (/ 1/3 x) (- (/ 1/3 x) -1)) 1) #s(hole binary64 (+ 1 (* 1/3 (/ 1 x))))) |
#s(approx (+ (* (/ 1/3 x) (- (/ 1/3 x) -1)) 1) #s(hole binary64 (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 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))))) |
#s(approx (* (+ (* (/ 1/3 x) (- (/ 1/3 x) -1)) 1) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)) 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)) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1 binary64)) x #s(literal 1/3 binary64)) x))))) |
(/.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)) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1 binary64)) x #s(literal 1/3 binary64)) x)))) |
(/.f64 #s(approx (- (* (* x x) x) 1/27) #s(literal -1/27 binary64)) #s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1 binary64)) x #s(literal 1/3 binary64)) x))) |
(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)) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1 binary64)) x #s(literal 1/3 binary64)) x))))) |
(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)) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1 binary64)) x #s(literal 1/3 binary64)) x)))) |
#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)) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1 binary64)) x #s(literal 1/3 binary64)) x)) |
(*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64)) x) #s(literal -1 binary64)) (fabs.f64 x)) (fabs.f64 x)) |
(*.f64 (*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64)) x) #s(literal -1 binary64)) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64)) x) #s(literal -1 binary64)))) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64)) x) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64)) x) #s(literal -1 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 x x) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64)) x) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1 binary64)) x #s(literal 1/3 binary64)) x) |
(*.f64 x (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1 binary64)) x #s(literal 1/3 binary64))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1/3 binary64)) (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1/3 binary64))) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64)) x))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64)) x) #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64)) x) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64)) x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (/.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) #s(literal -1 binary64)) (*.f64 x x)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64)) x) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1/3 binary64)) (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1/3 binary64))) (*.f64 x x))) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64)) x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64)) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 x x)) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64)) x) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64)) x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64)) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 x x)) (fma.f64 (/.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 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64)) x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) x #s(literal 1/3 binary64)) x) (*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) x #s(literal 1/3 binary64)) x))) (-.f64 (*.f64 x x) (*.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) x #s(literal 1/3 binary64)) x))) |
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(/.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 (neg.f64 x) x)) |
(/.f64 #s(literal -1/3 binary64) (neg.f64 x)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) |
(/.f64 #s(literal 1/3 binary64) (neg.f64 (neg.f64 x))) |
(/.f64 #s(literal 1/3 binary64) x) |
(neg.f64 (/.f64 #s(literal -1/3 binary64) x)) |
#s(literal 1/3 binary64) |
x |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) x)))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #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))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 x x)))) (/.f64 (-.f64 x #s(literal -1/3 binary64)) x)) |
(*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (fabs.f64 x)) (/.f64 x (fabs.f64 x))) |
(*.f64 (/.f64 x (fabs.f64 x)) (/.f64 (-.f64 x #s(literal -1/3 binary64)) (fabs.f64 x))) |
(*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (neg.f64 x)) (/.f64 x (neg.f64 x))) |
(*.f64 (/.f64 x (neg.f64 x)) (/.f64 (-.f64 x #s(literal -1/3 binary64)) (neg.f64 x))) |
(*.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 1 binary64)) |
(*.f64 (-.f64 x #s(literal -1/3 binary64)) (/.f64 x (*.f64 x x))) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1/3 binary64)) x)) |
(*.f64 x (/.f64 (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x))) |
(/.f64 (/.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) (fabs.f64 x)) (fabs.f64 x)) |
(/.f64 (/.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) (neg.f64 x)) (neg.f64 x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x))))) |
(/.f64 (+.f64 #s(literal -2/3 binary64) (*.f64 (neg.f64 x) #s(literal 2 binary64))) (*.f64 (neg.f64 x) #s(literal 2 binary64))) |
(/.f64 (+.f64 #s(literal 2/3 binary64) (*.f64 x #s(literal 2 binary64))) (*.f64 x #s(literal 2 binary64))) |
(/.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 x) #s(literal -2/3 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 x))) |
(/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2/3 binary64)) (*.f64 #s(literal 2 binary64) x)) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) x (*.f64 (neg.f64 x) x)) (*.f64 (neg.f64 x) x)) |
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64))) (neg.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)))) |
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1/9 binary64) (*.f64 x x))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1 binary64))) (neg.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 x #s(literal -1/3 binary64)))) (neg.f64 (neg.f64 x))) |
(/.f64 (*.f64 (neg.f64 x) (-.f64 x #s(literal -1/3 binary64))) (*.f64 (neg.f64 x) x)) |
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (*.f64 (-.f64 #s(literal 1/3 binary64) x) x)) |
(/.f64 (-.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))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1/27 binary64)) (*.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) x)) |
(/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64)) (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))) |
(/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1/9 binary64) (*.f64 x x)))) |
(/.f64 (neg.f64 (-.f64 x #s(literal -1/3 binary64))) (neg.f64 x)) |
(/.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) (*.f64 x x)) |
(/.f64 (-.f64 x #s(literal -1/3 binary64)) x) |
(neg.f64 (/.f64 (neg.f64 (-.f64 x #s(literal -1/3 binary64))) x)) |
(neg.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) (neg.f64 x))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) (fabs.f64 x)) (/.f64 x (fabs.f64 x)) (/.f64 (*.f64 x x) (*.f64 x x))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) (fabs.f64 x)) (/.f64 x (fabs.f64 x)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 x (fabs.f64 x)) (/.f64 #s(literal 1/3 binary64) (fabs.f64 x)) (/.f64 (*.f64 x x) (*.f64 x x))) |
(fma.f64 (/.f64 x (fabs.f64 x)) (/.f64 #s(literal 1/3 binary64) (fabs.f64 x)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 x (neg.f64 x)) (/.f64 #s(literal -1/3 binary64) x) (/.f64 (*.f64 x x) (*.f64 x x))) |
(fma.f64 (/.f64 x (neg.f64 x)) (/.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) x) (/.f64 x (neg.f64 x)) (/.f64 (*.f64 x x) (*.f64 x x))) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) x) (/.f64 x (neg.f64 x)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64) (/.f64 (*.f64 x x) (*.f64 x x))) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 x x))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64) (/.f64 (*.f64 x x) (*.f64 x x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/3 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x) (/.f64 (*.f64 x x) (*.f64 x x))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) x) (/.f64 (*.f64 x x) (*.f64 x x))) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 (*.f64 x x) (*.f64 x x))) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 x (*.f64 x x)) (/.f64 (*.f64 x x) (*.f64 x x))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 x (*.f64 x x)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 x x) (*.f64 x x))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(fma.f64 x (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 (*.f64 x x) (*.f64 x x))) |
(fma.f64 x (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))) (/.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) x)) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1/9 binary64) (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1/9 binary64) (*.f64 x x))))) |
(-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)) |
(+.f64 (/.f64 #s(literal 1 binary64) (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))) (/.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) x)) (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)))) |
(+.f64 (/.f64 #s(literal 1/3 binary64) x) (/.f64 (*.f64 x x) (*.f64 x x))) |
(+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
#s(literal -1 binary64) |
#s(literal 1 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) (- (/ 1/3 x) -1)) 1) x) (/.f64 #s(literal 1/9 binary64) x)) |
#s(approx (* (+ (* (/ 1/3 x) (- (/ 1/3 x) -1)) 1) x) (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64))) |
#s(approx (* (+ (* (/ 1/3 x) (- (/ 1/3 x) -1)) 1) x) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (-.f64 x #s(literal -1/3 binary64)))) |
#s(approx (+ (* (/ 1/3 x) (- (/ 1/3 x) -1)) 1) (/.f64 #s(literal 1/9 binary64) (*.f64 x x))) |
#s(approx (+ (* (/ 1/3 x) (- (/ 1/3 x) -1)) 1) (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64)) x)) |
#s(approx (+ (* (/ 1/3 x) (- (/ 1/3 x) -1)) 1) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64)) x) #s(literal -1 binary64))) |
#s(approx (/ 1/3 x) (/.f64 #s(literal 1/3 binary64) x)) |
#s(approx x x) |
#s(approx (- (/ 1/3 x) -1) (/.f64 (-.f64 x #s(literal -1/3 binary64)) 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 x #s(literal -1/3 binary64)) x)) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1 binary64)) x #s(literal 1/3 binary64)) x)) |
#s(approx (* (+ (* (/ 1/3 x) (- (/ 1/3 x) -1)) 1) x) (-.f64 x #s(literal -1/3 binary64))) |
#s(approx (* (+ (* (/ 1/3 x) (- (/ 1/3 x) -1)) 1) x) (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1 binary64)) x #s(literal 1/3 binary64))) |
#s(approx (+ (* (/ 1/3 x) (- (/ 1/3 x) -1)) 1) #s(literal 1 binary64)) |
#s(approx (+ (* (/ 1/3 x) (- (/ 1/3 x) -1)) 1) (/.f64 (-.f64 x #s(literal -1/3 binary64)) x)) |
#s(approx (+ (* (/ 1/3 x) (- (/ 1/3 x) -1)) 1) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #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 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) |
#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))) |
#s(approx (* (+ (* (/ 1/3 x) (- (/ 1/3 x) -1)) 1) x) (*.f64 (neg.f64 x) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1/3 binary64)) x) #s(literal 1 binary64)))) |
Compiled 12 293 to 1 722 computations (86% saved)
4 alts after pruning (1 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 299 | 1 | 300 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 3 | 3 |
| Total | 300 | 4 | 304 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 68.2% | (/.f64 (fma.f64 (*.f64 x x) x #s(literal -1/27 binary64)) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))) |
| 24.7% | (/.f64 #s(approx (- (* (* x x) x) 1/27) #s(literal -1/27 binary64)) #s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1 binary64)) x #s(literal 1/3 binary64)) x))) | |
| ✓ | 100.0% | (-.f64 x #s(literal 1/3 binary64)) |
| ✓ | 49.2% | #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
Compiled 55 to 41 computations (25.5% 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)) |
| Inputs |
|---|
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
(-.f64 x #s(literal 1/3 binary64)) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
(/.f64 (fma.f64 (*.f64 x x) x #s(literal -1/27 binary64)) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))) |
(/.f64 #s(approx (- (* (* x x) x) 1/27) #s(literal -1/27 binary64)) #s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1 binary64)) x #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 #s(approx (- (* (* x x) x) 1/27) #s(literal -1/27 binary64)) #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))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) x) #s(literal 1/27 binary64)) #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))) |
| Outputs |
|---|
(-.f64 x #s(literal 1/3 binary64)) |
4 calls:
| 3.0ms | x |
| 2.0ms | (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| 1.0ms | (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.2% | 1 | (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| 49.2% | 1 | x |
| 100.0% | 1 | (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| 100.0% | 1 | x |
Compiled 153 to 63 computations (58.8% saved)
| 1× | fuel |
Compiled 10 to 9 computations (10% saved)
Compiled 15 to 14 computations (6.7% saved)
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