
Time bar (total: 1.3s)
| 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)
| 258.0ms | 8 256× | 0 | valid |
ival-add!: 85.0ms (98% of total)adjust: 1.0ms (1.2% of total)Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 12 |
| 1 | 24 | 10 |
| 2 | 38 | 10 |
| 3 | 82 | 10 |
| 4 | 387 | 10 |
| 5 | 3582 | 10 |
| 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 (+ 1/3 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ x (/ 1 3)) #s(hole binary64 (* x (+ 1 (* 1/3 (/ 1 x)))))) |
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 | 17 | 35 |
| 0 | 19 | 33 |
| 1 | 77 | 33 |
| 0 | 488 | 32 |
| 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 (+ 1/3 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ x (/ 1 3)) #s(hole binary64 (* x (+ 1 (* 1/3 (/ 1 x)))))) |
| Outputs |
|---|
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (neg.f64 (-.f64 x #s(literal 1/3 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1/3 binary64) x))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal 1/27 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal 1/27 binary64))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))) |
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 #s(literal 1/3 binary64) x)) |
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1/27 binary64)) (fma.f64 x x (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)))) |
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1/27 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal 1/3 binary64)))) |
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1/3 binary64) x))) |
(-.f64 x #s(literal -1/3 binary64)) |
(+.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x x (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x))))) |
(+.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(+.f64 #s(literal 1/3 binary64) x) |
(+.f64 x #s(literal 1/3 binary64)) |
x |
#s(literal 1/3 binary64) |
#s(literal 1 binary64) |
#s(literal 3 binary64) |
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64)) |
#s(approx (+ x (/ 1 3)) (-.f64 x #s(literal -1/3 binary64))) |
#s(approx x x) |
#s(approx (+ x (/ 1 3)) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) x x)) |
Compiled 105 to 61 computations (41.9% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 14 | 6 | 20 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 15 | 6 | 21 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 65.9% | (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1/27 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) |
| 65.9% | (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1/27 binary64)) (fma.f64 x x (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)))) | |
| ▶ | 75.1% | (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 #s(literal 1/3 binary64) x)) |
| ▶ | 100.0% | (-.f64 x #s(literal -1/3 binary64)) |
| ▶ | 99.9% | #s(approx (+ x (/ 1 3)) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) x x)) |
| ▶ | 50.0% | #s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64)) |
Compiled 90 to 90 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)) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) x x)) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) x) x x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 #s(literal 1/3 binary64) x)) |
(-.f64 #s(literal 1/9 binary64) (*.f64 x x)) |
#s(literal 1/9 binary64) |
(*.f64 x x) |
(-.f64 #s(literal 1/3 binary64) x) |
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1/27 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) |
(fma.f64 (*.f64 x x) x #s(literal 1/27 binary64)) |
#s(literal 1/27 binary64) |
(fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) |
(-.f64 x #s(literal 1/3 binary64)) |
| Outputs |
|---|
#s(approx (- x -1/3) #s(hole binary64 1/3)) |
#s(approx (- x -1/3) #s(hole binary64 (+ 1/3 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ 1/3 x) #s(hole binary64 (/ 1/3 x))) |
#s(approx (- 1/9 (* x x)) #s(hole binary64 1/9)) |
#s(approx (- 1/9 (* x x)) #s(hole binary64 (+ 1/9 (* -1 (pow x 2))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (- 1/3 x) #s(hole binary64 (+ 1/3 (* -1 x)))) |
#s(approx (+ (* (* x x) x) 1/27) #s(hole binary64 1/27)) |
#s(approx (+ (* (* x x) x) 1/27) #s(hole binary64 (+ 1/27 (pow x 3)))) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (+ 1/9 (* -1/3 x)))) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (+ 1/9 (* x (- x 1/3))))) |
#s(approx (- x 1/3) #s(hole binary64 -1/3)) |
#s(approx (- x 1/3) #s(hole binary64 (- x 1/3))) |
#s(approx (- x -1/3) #s(hole binary64 (* x (+ 1 (* 1/3 (/ 1 x)))))) |
#s(approx (- 1/9 (* x x)) #s(hole binary64 (* -1 (pow x 2)))) |
#s(approx (- 1/9 (* x x)) #s(hole binary64 (* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1)))) |
#s(approx (- 1/3 x) #s(hole binary64 (* -1 x))) |
#s(approx (- 1/3 x) #s(hole binary64 (* x (- (* 1/3 (/ 1 x)) 1)))) |
#s(approx (+ (* (* x x) x) 1/27) #s(hole binary64 (pow x 3))) |
#s(approx (+ (* (* x x) x) 1/27) #s(hole binary64 (* (pow x 3) (+ 1 (* 1/27 (/ 1 (pow x 3))))))) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (* (pow x 2) (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (* (pow x 2) (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x)))))) |
#s(approx (- x 1/3) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (- 1/3 x) #s(hole binary64 (* -1 (* x (- 1 (* 1/3 (/ 1 x))))))) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)))))) |
#s(approx (- x 1/3) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((- x -1/3) x -1/3 (+ x (/ 1 3)) 1/3 (+ x (/ 1 3)) (+ (* (/ 1/3 x) x) x) (/ 1/3 x) (/ (- 1/9 (* x x)) (- 1/3 x)) (- 1/9 (* x x)) 1/9 (* x x) (- 1/3 x) (/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) (+ (* (* x x) x) 1/27) 1/27 (+ (* x (- x 1/3)) 1/9) (- x 1/3)) |
| 2.0ms | x | @ | inf | ((- x -1/3) x -1/3 (+ x (/ 1 3)) 1/3 (+ x (/ 1 3)) (+ (* (/ 1/3 x) x) x) (/ 1/3 x) (/ (- 1/9 (* x x)) (- 1/3 x)) (- 1/9 (* x x)) 1/9 (* x x) (- 1/3 x) (/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) (+ (* (* x x) x) 1/27) 1/27 (+ (* x (- x 1/3)) 1/9) (- x 1/3)) |
| 2.0ms | x | @ | 0 | ((- x -1/3) x -1/3 (+ x (/ 1 3)) 1/3 (+ x (/ 1 3)) (+ (* (/ 1/3 x) x) x) (/ 1/3 x) (/ (- 1/9 (* x x)) (- 1/3 x)) (- 1/9 (* x x)) 1/9 (* x x) (- 1/3 x) (/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) (+ (* (* x x) x) 1/27) 1/27 (+ (* x (- x 1/3)) 1/9) (- x 1/3)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 101 | 398 |
| 0 | 116 | 348 |
| 1 | 504 | 345 |
| 0 | 3990 | 341 |
| 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)) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) x x)) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) x) x x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 #s(literal 1/3 binary64) x)) |
(-.f64 #s(literal 1/9 binary64) (*.f64 x x)) |
#s(literal 1/9 binary64) |
(*.f64 x x) |
(-.f64 #s(literal 1/3 binary64) x) |
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1/27 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) |
(fma.f64 (*.f64 x x) x #s(literal 1/27 binary64)) |
#s(literal 1/27 binary64) |
(fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) |
(-.f64 x #s(literal 1/3 binary64)) |
#s(approx (- x -1/3) #s(hole binary64 1/3)) |
#s(approx (- x -1/3) #s(hole binary64 (+ 1/3 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ 1/3 x) #s(hole binary64 (/ 1/3 x))) |
#s(approx (- 1/9 (* x x)) #s(hole binary64 1/9)) |
#s(approx (- 1/9 (* x x)) #s(hole binary64 (+ 1/9 (* -1 (pow x 2))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (- 1/3 x) #s(hole binary64 (+ 1/3 (* -1 x)))) |
#s(approx (+ (* (* x x) x) 1/27) #s(hole binary64 1/27)) |
#s(approx (+ (* (* x x) x) 1/27) #s(hole binary64 (+ 1/27 (pow x 3)))) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (+ 1/9 (* -1/3 x)))) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (+ 1/9 (* x (- x 1/3))))) |
#s(approx (- x 1/3) #s(hole binary64 -1/3)) |
#s(approx (- x 1/3) #s(hole binary64 (- x 1/3))) |
#s(approx (- x -1/3) #s(hole binary64 (* x (+ 1 (* 1/3 (/ 1 x)))))) |
#s(approx (- 1/9 (* x x)) #s(hole binary64 (* -1 (pow x 2)))) |
#s(approx (- 1/9 (* x x)) #s(hole binary64 (* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1)))) |
#s(approx (- 1/3 x) #s(hole binary64 (* -1 x))) |
#s(approx (- 1/3 x) #s(hole binary64 (* x (- (* 1/3 (/ 1 x)) 1)))) |
#s(approx (+ (* (* x x) x) 1/27) #s(hole binary64 (pow x 3))) |
#s(approx (+ (* (* x x) x) 1/27) #s(hole binary64 (* (pow x 3) (+ 1 (* 1/27 (/ 1 (pow x 3))))))) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (* (pow x 2) (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (* (pow x 2) (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x)))))) |
#s(approx (- x 1/3) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (- 1/3 x) #s(hole binary64 (* -1 (* x (- 1 (* 1/3 (/ 1 x))))))) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)))))) |
#s(approx (- x 1/3) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1/27 binary64)) (fma.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal -1/81 binary64))) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal -1/9 binary64))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1/27 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) x) (-.f64 x #s(literal 1/3 binary64))))) (-.f64 #s(literal 1/9 binary64) (*.f64 (-.f64 x #s(literal 1/3 binary64)) x))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1/27 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 3 binary64)) #s(literal -1/729 binary64))) (fma.f64 (*.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) x) (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 1/9 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1/27 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 3 binary64)) #s(literal -1/729 binary64))) (fma.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal -1/9 binary64)) #s(literal 1/81 binary64))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 x #s(literal -1/3 binary64))) |
(*.f64 (/.f64 (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 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) x))) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (-.f64 x #s(literal -1/3 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) (*.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))))) (*.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))))) (-.f64 (*.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x))) (*.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1/3 binary64) x))) (*.f64 x (/.f64 x (-.f64 #s(literal 1/3 binary64) x))))) (+.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (*.f64 x (/.f64 x (-.f64 #s(literal 1/3 binary64) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) #s(literal 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 x x) (/.f64 x (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) (*.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) (-.f64 (*.f64 (/.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 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 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1/3 binary64) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (fma.f64 (*.f64 x (/.f64 x (-.f64 #s(literal 1/3 binary64) x))) (*.f64 x (/.f64 x (-.f64 #s(literal 1/3 binary64) x))) (*.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (*.f64 x (/.f64 x (-.f64 #s(literal 1/3 binary64) x))))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)) (*.f64 (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)) #s(literal 1/27 binary64))) (*.f64 (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (*.f64 (-.f64 #s(literal 1/3 binary64) x) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1/3 binary64) x))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) (*.f64 x x) #s(literal -1/27 binary64))) (neg.f64 (fma.f64 (-.f64 x #s(literal 1/3 binary64)) (neg.f64 x) #s(literal -1/9 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1/9 binary64) (*.f64 x x))) (neg.f64 (neg.f64 (-.f64 #s(literal 1/3 binary64) x)))) |
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(-.f64 (*.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) (/.f64 #s(literal -1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) |
(-.f64 #s(literal 1/3 binary64) (neg.f64 x)) |
(-.f64 x #s(literal -1/3 binary64)) |
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(fma.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) #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)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 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 (fabs.f64 x) (*.f64 (fabs.f64 x) x) #s(literal 1/27 binary64)) |
(fma.f64 (*.f64 (*.f64 x x) x) #s(literal 1 binary64) #s(literal 1/27 binary64)) |
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) x) #s(literal 1/27 binary64)) |
(fma.f64 (*.f64 (neg.f64 x) x) (neg.f64 x) #s(literal 1/27 binary64)) |
(fma.f64 (*.f64 x x) x #s(literal 1/27 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.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 #s(literal 1/729 binary64) (-.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) x))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (-.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) x)))) |
(-.f64 (*.f64 (*.f64 x x) x) #s(literal -1/27 binary64)) |
(-.f64 #s(literal 1/27 binary64) (*.f64 (neg.f64 x) (*.f64 x x))) |
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(+.f64 (*.f64 (*.f64 x x) x) #s(literal 1/27 binary64)) |
(+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) x)) |
#s(literal 1/27 binary64) |
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(fma.f64 (*.f64 (neg.f64 x) #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) (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) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) |
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) |
(fma.f64 (*.f64 (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 (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 (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 (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 (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 (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 (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 (*.f64 (neg.f64 x) x) #s(literal -1 binary64) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.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 1/3 binary64) x) (*.f64 x x)) |
(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 x #s(literal 1/3 binary64)) (*.f64 x x)) |
(fma.f64 x (*.f64 #s(literal -1 binary64) (neg.f64 x)) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) |
(fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) |
(fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) |
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(-.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 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 #s(literal 1/3 binary64) x)) |
(-.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal -1/9 binary64)) |
(-.f64 #s(literal 1/9 binary64) (*.f64 (-.f64 #s(literal 1/3 binary64) x) x)) |
(-.f64 #s(literal 1/9 binary64) (*.f64 (-.f64 x #s(literal 1/3 binary64)) (neg.f64 x))) |
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(+.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 x x)) |
(+.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 1/9 binary64)) |
(+.f64 (*.f64 x x) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) |
(+.f64 #s(literal 1/9 binary64) (*.f64 (-.f64 x #s(literal 1/3 binary64)) x)) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 #s(literal -1/9 binary64) (*.f64 x x))) (neg.f64 (-.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 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 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 x x #s(literal -1/9 binary64))) (-.f64 x #s(literal 1/3 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal -1/27 binary64))) (neg.f64 (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
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(/.f64 (fma.f64 (*.f64 x x) x #s(literal -1/27 binary64)) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal -1/3 binary64)))) |
(-.f64 x #s(literal 1/3 binary64)) |
(+.f64 #s(literal -1/3 binary64) x) |
(+.f64 x #s(literal -1/3 binary64)) |
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64)) |
#s(approx (+ x (/ 1 3)) (-.f64 x #s(literal -1/3 binary64))) |
#s(approx x x) |
#s(approx (/ 1/3 x) (/.f64 #s(literal 1/3 binary64) x)) |
#s(approx (- 1/9 (* x x)) #s(literal 1/9 binary64)) |
#s(approx (- 1/9 (* x x)) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx (- 1/3 x) (-.f64 #s(literal 1/3 binary64) 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 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) |
#s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) |
#s(approx (- x 1/3) #s(literal -1/3 binary64)) |
#s(approx (- x 1/3) (-.f64 x #s(literal 1/3 binary64))) |
#s(approx (+ x (/ 1 3)) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) x x)) |
#s(approx (- 1/9 (* x x)) (*.f64 (neg.f64 x) x)) |
#s(approx (- 1/9 (* x x)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) x)) |
#s(approx (- 1/3 x) (neg.f64 x)) |
#s(approx (- 1/3 x) (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) x)) |
#s(approx (+ (* (* x x) x) 1/27) (*.f64 (*.f64 x x) x)) |
#s(approx (+ (* (* x x) x) 1/27) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64)) (*.f64 x x)) x)) |
#s(approx (+ (* x (- x 1/3)) 1/9) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) x)) |
#s(approx (+ (* x (- x 1/3)) 1/9) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x) x)) |
#s(approx (- x 1/3) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) |
#s(approx (- 1/3 x) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) (neg.f64 x))) |
#s(approx (+ (* x (- x 1/3)) 1/9) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x)) x) x)) |
#s(approx (- x 1/3) (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) (neg.f64 x))) |
Compiled 2 554 to 1 012 computations (60.4% saved)
7 alts after pruning (3 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 329 | 3 | 332 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 331 | 7 | 338 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 65.9% | (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1/27 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) |
| ▶ | 65.9% | (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1/27 binary64)) (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) |
| ▶ | 50.1% | (/.f64 #s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) |
| ✓ | 100.0% | (-.f64 x #s(literal -1/3 binary64)) |
| ▶ | 99.8% | #s(approx (+ x (/ 1 3)) (fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/3 binary64) x) x)) |
| ✓ | 99.9% | #s(approx (+ x (/ 1 3)) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) x x)) |
| ✓ | 50.0% | #s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64)) |
Compiled 60 to 60 computations (0% saved)
| Inputs |
|---|
#s(approx (+ x (/ 1 3)) (fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/3 binary64) x) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/3 binary64) x) x) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(*.f64 #s(literal 1/3 binary64) x) |
#s(literal 1/3 binary64) |
(/.f64 #s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) |
#s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64)) |
#s(literal 1/27 binary64) |
(fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) |
(-.f64 x #s(literal 1/3 binary64)) |
#s(literal 1/9 binary64) |
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1/27 binary64)) (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) |
(fma.f64 (*.f64 x x) x #s(literal 1/27 binary64)) |
(*.f64 x x) |
(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) |
| Outputs |
|---|
#s(approx (+ x (/ 1 3)) #s(hole binary64 1/3)) |
#s(approx (+ x (/ 1 3)) #s(hole binary64 (+ 1/3 x))) |
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* 1/3 x) #s(hole binary64 (* 1/3 x))) |
#s(approx (+ (* (* x x) x) 1/27) #s(hole binary64 1/27)) |
#s(approx (+ (* (* x x) x) 1/27) #s(hole binary64 (+ 1/27 (pow x 3)))) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 1/9)) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (+ 1/9 (* -1/3 x)))) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (+ 1/9 (* x (- x 1/3))))) |
#s(approx (- x 1/3) #s(hole binary64 -1/3)) |
#s(approx (- x 1/3) #s(hole binary64 (- x 1/3))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#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))) |
#s(approx (+ (* (* x x) x) 1/27) #s(hole binary64 (* (pow x 3) (+ 1 (* 1/27 (/ 1 (pow x 3))))))) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (* (pow x 2) (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (* (pow x 2) (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x)))))) |
#s(approx (- x 1/3) #s(hole binary64 (* x (- 1 (* 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 (- (* 1/9 (/ 1 x)) 1/3)))) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)))))) |
#s(approx (- x 1/3) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (+ (* -1/3 x) 1/9) #s(hole binary64 (* -1 (* x (- 1/3 (* 1/9 (/ 1 x))))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((+ x (/ 1 3)) (+ (* (/ 1 x) (* 1/3 x)) x) (/ 1 x) 1 x (* 1/3 x) 1/3 (/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) (+ (* (* x x) x) 1/27) 1/27 (+ (* x (- x 1/3)) 1/9) (- x 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) (+ (* -1/3 x) 1/9)) (+ (* -1/3 x) 1/9) -1/3) |
| 1.0ms | x | @ | inf | ((+ x (/ 1 3)) (+ (* (/ 1 x) (* 1/3 x)) x) (/ 1 x) 1 x (* 1/3 x) 1/3 (/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) (+ (* (* x x) x) 1/27) 1/27 (+ (* x (- x 1/3)) 1/9) (- x 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) (+ (* -1/3 x) 1/9)) (+ (* -1/3 x) 1/9) -1/3) |
| 1.0ms | x | @ | 0 | ((+ x (/ 1 3)) (+ (* (/ 1 x) (* 1/3 x)) x) (/ 1 x) 1 x (* 1/3 x) 1/3 (/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) (+ (* (* x x) x) 1/27) 1/27 (+ (* x (- x 1/3)) 1/9) (- x 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) (+ (* -1/3 x) 1/9)) (+ (* -1/3 x) 1/9) -1/3) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 375 |
| 0 | 103 | 331 |
| 1 | 431 | 330 |
| 0 | 3629 | 325 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
#s(approx (+ x (/ 1 3)) (fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/3 binary64) x) x)) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/3 binary64) x) x) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(*.f64 #s(literal 1/3 binary64) x) |
#s(literal 1/3 binary64) |
(/.f64 #s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) |
#s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64)) |
#s(literal 1/27 binary64) |
(fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) |
(-.f64 x #s(literal 1/3 binary64)) |
#s(literal 1/9 binary64) |
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1/27 binary64)) (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) |
(fma.f64 (*.f64 x x) x #s(literal 1/27 binary64)) |
(*.f64 x x) |
(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(approx (+ x (/ 1 3)) #s(hole binary64 1/3)) |
#s(approx (+ x (/ 1 3)) #s(hole binary64 (+ 1/3 x))) |
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (* 1/3 x) #s(hole binary64 (* 1/3 x))) |
#s(approx (+ (* (* x x) x) 1/27) #s(hole binary64 1/27)) |
#s(approx (+ (* (* x x) x) 1/27) #s(hole binary64 (+ 1/27 (pow x 3)))) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 1/9)) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (+ 1/9 (* -1/3 x)))) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (+ 1/9 (* x (- x 1/3))))) |
#s(approx (- x 1/3) #s(hole binary64 -1/3)) |
#s(approx (- x 1/3) #s(hole binary64 (- x 1/3))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#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))) |
#s(approx (+ (* (* x x) x) 1/27) #s(hole binary64 (* (pow x 3) (+ 1 (* 1/27 (/ 1 (pow x 3))))))) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (* (pow x 2) (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (* (pow x 2) (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x)))))) |
#s(approx (- x 1/3) #s(hole binary64 (* x (- 1 (* 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 (- (* 1/9 (/ 1 x)) 1/3)))) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)))))) |
#s(approx (- x 1/3) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (+ (* -1/3 x) 1/9) #s(hole binary64 (* -1 (* x (- 1/3 (* 1/9 (/ 1 x))))))) |
| Outputs |
|---|
#s(approx (+ x (/ 1 3)) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) x x)) |
(*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)) x) |
(*.f64 x (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) x)) #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 (*.f64 x (-.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 x (-.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 (-.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) (*.f64 x x))) (-.f64 x (*.f64 (/.f64 #s(literal 1/3 binary64) x) x))) |
(/.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64)) (*.f64 x x)) x) (fma.f64 x x (-.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) x) x) x)))) |
(/.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64)) (*.f64 x x)) x) (fma.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) (*.f64 x x) (*.f64 x (-.f64 x (*.f64 (/.f64 #s(literal 1/3 binary64) x) x))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 x x))) x) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) (*.f64 x x)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) x) x) x))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64)) (*.f64 x x)) x)) (neg.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) (*.f64 x x) (*.f64 x (-.f64 x (*.f64 (/.f64 #s(literal 1/3 binary64) x) x)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) (*.f64 x x)) (*.f64 x x)) (-.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) x) x) x)) |
(fma.f64 (*.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 1/3 binary64) x) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1/3 binary64) x) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) x) x x) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal 1 binary64) x) x) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/3 binary64) x) x) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) x)) x) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) x) x) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/3 binary64) x) x) x) |
(fma.f64 x (/.f64 #s(literal 1/3 binary64) x) x) |
(-.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) (*.f64 x x)) (-.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) x) x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) x) x) x))) |
(-.f64 x (*.f64 (neg.f64 x) (/.f64 #s(literal 1/3 binary64) x))) |
(-.f64 x (*.f64 (/.f64 #s(literal -1/3 binary64) x) x)) |
(-.f64 x (*.f64 (*.f64 #s(literal -1/3 binary64) x) (/.f64 #s(literal 1 binary64) x))) |
(-.f64 x (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) x))) |
(+.f64 (/.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) x)) (*.f64 x x)) x) (fma.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) (*.f64 x x) (*.f64 x (-.f64 x (*.f64 (/.f64 #s(literal 1/3 binary64) x) x))))) (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 x x)) (*.f64 x x) (*.f64 x (-.f64 x (*.f64 (/.f64 #s(literal 1/3 binary64) x) x)))))) |
(+.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) x) x) x) |
(+.f64 x (*.f64 (/.f64 #s(literal 1/3 binary64) x) x)) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(pow.f64 x #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 x)) |
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
(neg.f64 (/.f64 #s(literal -1 binary64) x)) |
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64))) |
#s(literal 1 binary64) |
x |
(*.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/3 binary64) x) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) x)) |
(*.f64 x #s(literal 1/3 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64)) |
(neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/3 binary64) x))) |
(neg.f64 (*.f64 #s(literal -1/3 binary64) x)) |
#s(literal 1/3 binary64) |
(*.f64 (/.f64 #s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64)) (fma.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal -1/81 binary64))) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal -1/9 binary64))) |
(*.f64 (/.f64 #s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) x) (-.f64 x #s(literal 1/3 binary64))))) (-.f64 #s(literal 1/9 binary64) (*.f64 (-.f64 x #s(literal 1/3 binary64)) x))) |
(*.f64 (/.f64 #s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 3 binary64)) #s(literal -1/729 binary64))) (fma.f64 (*.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) x) (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 1/9 binary64))))) |
(*.f64 (/.f64 #s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 3 binary64)) #s(literal -1/729 binary64))) (fma.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal -1/9 binary64)) #s(literal 1/81 binary64))) |
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64)))) (neg.f64 (fma.f64 (neg.f64 x) (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)))) |
(/.f64 (neg.f64 #s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64))) (fma.f64 (neg.f64 x) (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))) |
(/.f64 #s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) |
(neg.f64 (/.f64 #s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64)) (fma.f64 (neg.f64 x) (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)))) |
(neg.f64 (/.f64 (neg.f64 #s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64))) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) |
#s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64)) |
#s(literal 1/27 binary64) |
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(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 (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 (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 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)) |
(fma.f64 #s(literal -1/3 binary64) x (+.f64 #s(literal 1/9 binary64) (*.f64 x x))) |
(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 1/3 binary64) (-.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (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 x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) |
(-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 #s(literal 1/3 binary64) x)) |
(-.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x x)) (*.f64 #s(literal 1/3 binary64) x)) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (-.f64 (fma.f64 x x #s(literal -1/9 binary64)) (*.f64 #s(literal -1/3 binary64) x))) (/.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 (fma.f64 x x #s(literal -1/9 binary64)) (*.f64 #s(literal -1/3 binary64) x)))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) x) (-.f64 x #s(literal 1/3 binary64))) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal -1/9 binary64))) (/.f64 #s(literal 1/81 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal -1/9 binary64)))) |
(-.f64 (/.f64 #s(literal 1/81 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (-.f64 x #s(literal 1/3 binary64)) x))) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) x) (-.f64 x #s(literal 1/3 binary64))) (-.f64 #s(literal 1/9 binary64) (*.f64 (-.f64 x #s(literal 1/3 binary64)) x)))) |
(-.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 (neg.f64 x) x)) |
(-.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal -1/9 binary64)) |
(-.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 (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 x x) x) x))) (/.f64 (pow.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) (-.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 x x)) (*.f64 (*.f64 (*.f64 x x) x) x)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) x) (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 1/9 binary64))))) (/.f64 #s(literal 1/729 binary64) (fma.f64 (*.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) x) (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 1/9 binary64)))))) |
(+.f64 (/.f64 #s(literal 1/729 binary64) (fma.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal -1/9 binary64)) #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) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal -1/9 binary64)) #s(literal 1/81 binary64)))) |
(+.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 x x)) |
(+.f64 (*.f64 #s(literal -1/3 binary64) x) (+.f64 #s(literal 1/9 binary64) (*.f64 x x))) |
(+.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 1/9 binary64)) |
(+.f64 #s(literal 1/9 binary64) (*.f64 (-.f64 x #s(literal 1/3 binary64)) x)) |
(+.f64 (*.f64 x x) (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 (neg.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 #s(literal 1/9 binary64) (*.f64 x x)))) (neg.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) |
(/.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 #s(literal -1/27 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/729 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal -1/3 binary64) x) (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/9 binary64)) #s(literal 1/81 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 x x) x) #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))) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
(/.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 #s(literal -1/27 binary64) (*.f64 (*.f64 x x) x) #s(literal 1/729 binary64)) (fma.f64 (*.f64 #s(literal -1/3 binary64) x) (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/9 binary64)) #s(literal 1/81 binary64))) |
(/.f64 (fma.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 x x) x) #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 (*.f64 #s(literal 1/27 binary64) (-.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) x))) (+.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))))) |
(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) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) |
(-.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 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/9 binary64)) |
(-.f64 #s(literal 1/9 binary64) (*.f64 (neg.f64 x) #s(literal -1/3 binary64))) |
(-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)) |
(+.f64 (/.f64 #s(literal 1/729 binary64) (fma.f64 (*.f64 #s(literal -1/3 binary64) x) (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/9 binary64)) #s(literal 1/81 binary64))) (/.f64 (*.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 #s(literal -1/3 binary64) x) (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/9 binary64)) #s(literal 1/81 binary64)))) |
(+.f64 (/.f64 (*.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 x x) x)) (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 (*.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)) |
#s(literal -1/3 binary64) |
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64)) |
#s(approx (+ x (/ 1 3)) (-.f64 x #s(literal -1/3 binary64))) |
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x)) |
#s(approx x x) |
#s(approx (* 1/3 x) (*.f64 #s(literal 1/3 binary64) 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 1/3)) 1/9) #s(literal 1/9 binary64)) |
#s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) |
#s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) |
#s(approx (- x 1/3) #s(literal -1/3 binary64)) |
#s(approx (- x 1/3) (-.f64 x #s(literal 1/3 binary64))) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx (+ x (/ 1 3)) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) x x)) |
#s(approx (+ (* (* x x) x) 1/27) (*.f64 (*.f64 x x) x)) |
#s(approx (+ (* (* x x) x) 1/27) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64)) (*.f64 x x)) x)) |
#s(approx (+ (* x (- x 1/3)) 1/9) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) x)) |
#s(approx (+ (* x (- x 1/3)) 1/9) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x) x)) |
#s(approx (- x 1/3) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 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 1/3)) 1/9) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x)) x) x)) |
#s(approx (- x 1/3) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)))) |
#s(approx (+ (* -1/3 x) 1/9) (*.f64 (neg.f64 x) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)))) |
Compiled 2 142 to 877 computations (59.1% saved)
7 alts after pruning (1 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 253 | 1 | 254 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 2 | 3 |
| Done | 0 | 4 | 4 |
| Total | 254 | 7 | 261 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 65.9% | (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1/27 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) |
| ✓ | 65.9% | (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1/27 binary64)) (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) |
| ▶ | 49.6% | (/.f64 #s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64)) (fma.f64 x #s(approx (- x 1/3) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) |
| ✓ | 100.0% | (-.f64 x #s(literal -1/3 binary64)) |
| ✓ | 99.8% | #s(approx (+ x (/ 1 3)) (fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/3 binary64) x) x)) |
| ✓ | 99.9% | #s(approx (+ x (/ 1 3)) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) x x)) |
| ✓ | 50.0% | #s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64)) |
Compiled 62 to 62 computations (0% saved)
| Inputs |
|---|
(/.f64 #s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64)) (fma.f64 x #s(approx (- x 1/3) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) |
#s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64)) |
#s(literal 1/27 binary64) |
(fma.f64 x #s(approx (- x 1/3) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) |
x |
#s(approx (- x 1/3) #s(literal -1/3 binary64)) |
#s(literal -1/3 binary64) |
#s(literal 1/9 binary64) |
| Outputs |
|---|
#s(approx (/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 1/3)) |
#s(approx (/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (+ 1/3 x))) |
#s(approx (+ (* (* x x) x) 1/27) #s(hole binary64 1/27)) |
#s(approx (+ (* (* x x) x) 1/27) #s(hole binary64 (+ 1/27 (pow x 3)))) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 1/9)) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (+ 1/9 (* -1/3 x)))) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (+ 1/9 (* x (- x 1/3))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- x 1/3) #s(hole binary64 -1/3)) |
#s(approx (- x 1/3) #s(hole binary64 (- x 1/3))) |
#s(approx (/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (* x (+ 1 (* 1/3 (/ 1 x)))))) |
#s(approx (+ (* (* x x) x) 1/27) #s(hole binary64 (pow x 3))) |
#s(approx (+ (* (* x x) x) 1/27) #s(hole binary64 (* (pow x 3) (+ 1 (* 1/27 (/ 1 (pow x 3))))))) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (* (pow x 2) (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (* (pow x 2) (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x)))))) |
#s(approx (- x 1/3) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)))))) |
#s(approx (- x 1/3) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) (+ (* (* x x) x) 1/27) 1/27 (+ (* x (- x 1/3)) 1/9) x (- x 1/3) -1/3 1/9) |
| 1.0ms | x | @ | inf | ((/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) (+ (* (* x x) x) 1/27) 1/27 (+ (* x (- x 1/3)) 1/9) x (- x 1/3) -1/3 1/9) |
| 0.0ms | x | @ | 0 | ((/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) (+ (* (* x x) x) 1/27) 1/27 (+ (* x (- x 1/3)) 1/9) x (- x 1/3) -1/3 1/9) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 319 |
| 0 | 71 | 285 |
| 1 | 351 | 254 |
| 0 | 3041 | 242 |
| 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)) (fma.f64 x #s(approx (- x 1/3) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) |
#s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64)) |
#s(literal 1/27 binary64) |
(fma.f64 x #s(approx (- x 1/3) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) |
x |
#s(approx (- x 1/3) #s(literal -1/3 binary64)) |
#s(literal -1/3 binary64) |
#s(literal 1/9 binary64) |
#s(approx (/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 1/3)) |
#s(approx (/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (+ 1/3 x))) |
#s(approx (+ (* (* x x) x) 1/27) #s(hole binary64 1/27)) |
#s(approx (+ (* (* x x) x) 1/27) #s(hole binary64 (+ 1/27 (pow x 3)))) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 1/9)) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (+ 1/9 (* -1/3 x)))) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (+ 1/9 (* x (- x 1/3))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- x 1/3) #s(hole binary64 -1/3)) |
#s(approx (- x 1/3) #s(hole binary64 (- x 1/3))) |
#s(approx (/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (* x (+ 1 (* 1/3 (/ 1 x)))))) |
#s(approx (+ (* (* x x) x) 1/27) #s(hole binary64 (pow x 3))) |
#s(approx (+ (* (* x x) x) 1/27) #s(hole binary64 (* (pow x 3) (+ 1 (* 1/27 (/ 1 (pow x 3))))))) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (* (pow x 2) (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (* (pow x 2) (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x)))))) |
#s(approx (- x 1/3) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)))))) |
#s(approx (- x 1/3) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64)) (fma.f64 (*.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) (*.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) #s(literal -1/81 binary64))) (fma.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x #s(literal -1/9 binary64))) |
(*.f64 (/.f64 #s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) x) #s(approx (- x 1/3) #s(literal -1/3 binary64))) (*.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) #s(literal 1/729 binary64))) (fma.f64 (*.f64 (*.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) x) #s(approx (- x 1/3) #s(literal -1/3 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) #s(literal 1/9 binary64))))) |
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))))) |
(/.f64 (neg.f64 #s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64))) (neg.f64 (fma.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)))) |
(/.f64 #s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64)) (fma.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))) |
(neg.f64 (/.f64 #s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64)) (neg.f64 (fma.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))))) |
(neg.f64 (/.f64 (neg.f64 #s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64))) (fma.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)))) |
#s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64)) |
#s(literal 1/27 binary64) |
(/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 (*.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) x) #s(approx (- x 1/3) #s(literal -1/3 binary64)))) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) (*.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) #s(literal -1/81 binary64))) (neg.f64 (fma.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x #s(literal -1/9 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) x) #s(approx (- x 1/3) #s(literal -1/3 binary64))) (*.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) #s(literal 1/729 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) x) #s(approx (- x 1/3) #s(literal -1/3 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) #s(literal 1/9 binary64)))))) |
(/.f64 (fma.f64 (*.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) (*.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) #s(literal -1/81 binary64)) (fma.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x #s(literal -1/9 binary64))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) x) #s(approx (- x 1/3) #s(literal -1/3 binary64))) (*.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) #s(literal 1/729 binary64)) (+.f64 #s(literal 1/81 binary64) (-.f64 (*.f64 (*.f64 (*.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) x) #s(approx (- x 1/3) #s(literal -1/3 binary64))) (*.f64 (*.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) #s(literal 1/9 binary64))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) x) #s(approx (- x 1/3) #s(literal -1/3 binary64))) (*.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) #s(literal 1/729 binary64)) (fma.f64 (*.f64 (*.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) x) #s(approx (- x 1/3) #s(literal -1/3 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) #s(literal 1/9 binary64))))) |
(fma.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) |
(fma.f64 x #s(approx (- x 1/3) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) x) #s(approx (- x 1/3) #s(literal -1/3 binary64))) (fma.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x #s(literal -1/9 binary64))) (/.f64 #s(literal 1/81 binary64) (fma.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x #s(literal -1/9 binary64)))) |
(-.f64 (*.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) #s(literal -1/9 binary64)) |
(-.f64 #s(literal 1/9 binary64) (*.f64 (neg.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64))) x)) |
(-.f64 #s(literal 1/9 binary64) (*.f64 (neg.f64 x) #s(approx (- x 1/3) #s(literal -1/3 binary64)))) |
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) x) #s(approx (- x 1/3) #s(literal -1/3 binary64))) (*.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x)) (fma.f64 (*.f64 (*.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) x) #s(approx (- x 1/3) #s(literal -1/3 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) #s(literal 1/9 binary64))))) (/.f64 #s(literal 1/729 binary64) (fma.f64 (*.f64 (*.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) x) #s(approx (- x 1/3) #s(literal -1/3 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) #s(literal 1/9 binary64)))))) |
(+.f64 (*.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) #s(literal 1/9 binary64)) |
(+.f64 #s(literal 1/9 binary64) (*.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x)) |
x |
#s(approx (- x 1/3) #s(literal -1/3 binary64)) |
#s(literal -1/3 binary64) |
#s(literal 1/9 binary64) |
#s(approx (/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) #s(literal 1/3 binary64)) |
#s(approx (/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) (-.f64 x #s(literal -1/3 binary64))) |
#s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64)) |
#s(approx (+ (* (* x x) x) 1/27) (fma.f64 (*.f64 x x) x #s(literal 1/27 binary64))) |
#s(approx (+ (* x (- x 1/3)) 1/9) #s(literal 1/9 binary64)) |
#s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) |
#s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) |
#s(approx x x) |
#s(approx (- x 1/3) #s(literal -1/3 binary64)) |
#s(approx (- x 1/3) (-.f64 x #s(literal 1/3 binary64))) |
#s(approx (/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) x x)) |
#s(approx (+ (* (* x x) x) 1/27) (*.f64 (*.f64 x x) x)) |
#s(approx (+ (* (* x x) x) 1/27) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x x) x)) #s(literal -1 binary64)) (*.f64 x x)) x)) |
#s(approx (+ (* x (- x 1/3)) 1/9) (*.f64 x x)) |
#s(approx (+ (* x (- x 1/3)) 1/9) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) x)) |
#s(approx (+ (* x (- x 1/3)) 1/9) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) #s(literal 1 binary64)) x) x)) |
#s(approx (- x 1/3) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) |
#s(approx (+ (* x (- x 1/3)) 1/9) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x)) x) x)) |
#s(approx (- x 1/3) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)))) |
Compiled 452 to 154 computations (65.9% saved)
7 alts after pruning (0 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 38 | 0 | 38 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 6 | 6 |
| Total | 38 | 7 | 45 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 65.9% | (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1/27 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) |
| ✓ | 65.9% | (/.f64 (fma.f64 (*.f64 x x) x #s(literal 1/27 binary64)) (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) |
| ✓ | 49.6% | (/.f64 #s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64)) (fma.f64 x #s(approx (- x 1/3) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) |
| ✓ | 100.0% | (-.f64 x #s(literal -1/3 binary64)) |
| ✓ | 99.8% | #s(approx (+ x (/ 1 3)) (fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/3 binary64) x) x)) |
| ✓ | 99.9% | #s(approx (+ x (/ 1 3)) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) x x)) |
| ✓ | 50.0% | #s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64)) |
Compiled 116 to 109 computations (6% saved)
| 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))) |
#s(approx (+ x (/ 1 3)) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) x x)) |
(/.f64 #s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64)) (fma.f64 x #s(approx (- x 1/3) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) |
(/.f64 #s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) |
#s(approx (+ x (/ 1 3)) (fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/3 binary64) x) x)) |
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 #s(literal 1/3 binary64) x)) |
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1/27 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) |
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1/27 binary64)) (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) |
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1/27 binary64)) (fma.f64 x x (-.f64 #s(literal 1/9 binary64) (*.f64 #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)
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 |
|---|---|---|
| 50.0% | 1 | (+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| 50.0% | 1 | x |
Compiled 6 to 6 computations (0% saved)
| 1× | done |
Compiled 9 to 9 computations (0% saved)
Compiled 14 to 14 computations (0% saved)
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