
Time bar (total: 1.6s)
| 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)
| 235.0ms | 8 256× | 0 | valid |
ival-sub!: 30.0ms (94.1% of total)adjust: 2.0ms (6.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 164.0ms | 512× | 0 | valid |
Compiled 31 to 19 computations (38.7% saved)
ival-sub!: 2.0ms (115% of total)adjust: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 12 |
| 1 | 11 | 12 |
| 2 | 14 | 12 |
| 3 | 24 | 12 |
| 4 | 69 | 12 |
| 5 | 391 | 12 |
| 6 | 5020 | 12 |
| 1× | node-limit |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
Compiled 10 to 10 computations (0% saved)
| Inputs |
|---|
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
x |
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
#s(literal 1 binary64) |
#s(literal 3 binary64) |
| Outputs |
|---|
#s(approx (- x (/ 1 3)) #s(hole binary64 -1/3)) |
#s(approx (- x (/ 1 3)) #s(hole binary64 (- x 1/3))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- x (/ 1 3)) #s(hole binary64 x)) |
#s(approx (- x (/ 1 3)) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (- x (/ 1 3)) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((- x (/ 1 3)) x (/ 1 3) 1 3) |
| 0.0ms | x | @ | inf | ((- x (/ 1 3)) x (/ 1 3) 1 3) |
| 0.0ms | x | @ | 0 | ((- x (/ 1 3)) x (/ 1 3) 1 3) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 55 |
| 0 | 25 | 50 |
| 1 | 78 | 50 |
| 0 | 486 | 50 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | unsound |
| 1× | iter-limit |
| Inputs |
|---|
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
x |
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
#s(literal 1 binary64) |
#s(literal 3 binary64) |
#s(approx (- x (/ 1 3)) #s(hole binary64 -1/3)) |
#s(approx (- x (/ 1 3)) #s(hole binary64 (- x 1/3))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- x (/ 1 3)) #s(hole binary64 x)) |
#s(approx (- x (/ 1 3)) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (- x (/ 1 3)) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
| Outputs |
|---|
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (neg.f64 (-.f64 x #s(literal -1/3 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #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 (pow.f64 x #s(literal 3 binary64)) #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 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))) |
(-.f64 x #s(literal 1/3 binary64)) |
(+.f64 x #s(literal -1/3 binary64)) |
x |
#s(literal 1/3 binary64) |
#s(literal 1 binary64) |
#s(literal 3 binary64) |
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
#s(approx (- x (/ 1 3)) (-.f64 x #s(literal 1/3 binary64))) |
#s(approx x x) |
#s(approx (- x (/ 1 3)) x) |
#s(approx (- x (/ 1 3)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) |
#s(approx (- x (/ 1 3)) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)))) |
Compiled 143 to 49 computations (65.7% saved)
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 7 | 7 | 14 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 8 | 7 | 15 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 76.3% | (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal -1/3 binary64))) |
| 67.4% | (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) | |
| 67.4% | (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (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))))) | |
| ▶ | 76.3% | (-.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)))) |
| ▶ | 100.0% | (-.f64 x #s(literal 1/3 binary64)) |
| ▶ | 51.3% | #s(approx (- x (/ 1 3)) x) |
| ▶ | 47.9% | #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
Compiled 144 to 102 computations (29.2% saved)
| Inputs |
|---|
(-.f64 x #s(literal 1/3 binary64)) |
x |
#s(literal 1/3 binary64) |
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
#s(literal -1/3 binary64) |
#s(approx (- x (/ 1 3)) x) |
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal -1/3 binary64))) |
(fma.f64 x x #s(literal -1/9 binary64)) |
#s(literal -1/9 binary64) |
(-.f64 x #s(literal -1/3 binary64)) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal -1/3 binary64)))) |
(/.f64 (*.f64 x x) (-.f64 x #s(literal -1/3 binary64))) |
(*.f64 x x) |
(/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal -1/3 binary64))) |
#s(literal 1/9 binary64) |
| Outputs |
|---|
#s(approx (- x 1/3) #s(hole binary64 -1/3)) |
#s(approx (- x 1/3) #s(hole binary64 (- x 1/3))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- x (/ 1 3)) #s(hole binary64 -1/3)) |
#s(approx (- x (/ 1 3)) #s(hole binary64 (- x 1/3))) |
#s(approx (/ (+ (* x x) -1/9) (- x -1/3)) #s(hole binary64 -1/3)) |
#s(approx (/ (+ (* x x) -1/9) (- x -1/3)) #s(hole binary64 (- x 1/3))) |
#s(approx (+ (* x x) -1/9) #s(hole binary64 -1/9)) |
#s(approx (+ (* x x) -1/9) #s(hole binary64 (- (pow x 2) 1/9))) |
#s(approx (- x -1/3) #s(hole binary64 1/3)) |
#s(approx (- x -1/3) #s(hole binary64 (+ 1/3 x))) |
#s(approx (- (/ (* x x) (- x -1/3)) (/ 1/9 (- x -1/3))) #s(hole binary64 -1/3)) |
#s(approx (- (/ (* x x) (- x -1/3)) (/ 1/9 (- x -1/3))) #s(hole binary64 (- x 1/3))) |
#s(approx (/ (* x x) (- x -1/3)) #s(hole binary64 (* 3 (pow x 2)))) |
#s(approx (/ (* x x) (- x -1/3)) #s(hole binary64 (* (pow x 2) (+ 3 (* -9 x))))) |
#s(approx (/ (* x x) (- x -1/3)) #s(hole binary64 (* (pow x 2) (+ 3 (* x (- (* 27 x) 9)))))) |
#s(approx (/ (* x x) (- x -1/3)) #s(hole binary64 (* (pow x 2) (+ 3 (* x (- (* x (+ 27 (* -81 x))) 9)))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (/ 1/9 (- x -1/3)) #s(hole binary64 1/3)) |
#s(approx (/ 1/9 (- x -1/3)) #s(hole binary64 (+ 1/3 (* -1 x)))) |
#s(approx (/ 1/9 (- x -1/3)) #s(hole binary64 (+ 1/3 (* x (- (* 3 x) 1))))) |
#s(approx (/ 1/9 (- x -1/3)) #s(hole binary64 (+ 1/3 (* x (- (* x (+ 3 (* -9 x))) 1))))) |
#s(approx (- x 1/3) #s(hole binary64 x)) |
#s(approx (- x 1/3) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (- x (/ 1 3)) #s(hole binary64 x)) |
#s(approx (- x (/ 1 3)) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (/ (+ (* x x) -1/9) (- x -1/3)) #s(hole binary64 x)) |
#s(approx (/ (+ (* x x) -1/9) (- x -1/3)) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (+ (* x x) -1/9) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* x x) -1/9) #s(hole binary64 (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2))))))) |
#s(approx (- x -1/3) #s(hole binary64 x)) |
#s(approx (- x -1/3) #s(hole binary64 (* x (+ 1 (* 1/3 (/ 1 x)))))) |
#s(approx (- (/ (* x x) (- x -1/3)) (/ 1/9 (- x -1/3))) #s(hole binary64 x)) |
#s(approx (- (/ (* x x) (- x -1/3)) (/ 1/9 (- x -1/3))) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (/ (* x x) (- x -1/3)) #s(hole binary64 x)) |
#s(approx (/ (* x x) (- x -1/3)) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (/ (* x x) (- x -1/3)) #s(hole binary64 (* x (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x)))))) |
#s(approx (/ (* x x) (- x -1/3)) #s(hole binary64 (* x (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3)))))))) |
#s(approx (/ 1/9 (- x -1/3)) #s(hole binary64 (/ 1/9 x))) |
#s(approx (/ 1/9 (- x -1/3)) #s(hole binary64 (/ (- 1/9 (* 1/27 (/ 1 x))) x))) |
#s(approx (/ 1/9 (- x -1/3)) #s(hole binary64 (/ (- (+ 1/9 (/ 1/81 (pow x 2))) (* 1/27 (/ 1 x))) x))) |
#s(approx (/ 1/9 (- x -1/3)) #s(hole binary64 (/ (- (+ 1/9 (/ 1/81 (pow x 2))) (+ (* 1/27 (/ 1 x)) (* 1/243 (/ 1 (pow x 3))))) x))) |
#s(approx (- x 1/3) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (- x (/ 1 3)) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (/ (+ (* x x) -1/9) (- x -1/3)) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (- (/ (* x x) (- x -1/3)) (/ 1/9 (- x -1/3))) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (/ (* x x) (- x -1/3)) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (/ (* x x) (- x -1/3)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1))))) |
#s(approx (/ (* x x) (- x -1/3)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1))))) |
#s(approx (/ 1/9 (- x -1/3)) #s(hole binary64 (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)))) |
#s(approx (/ 1/9 (- x -1/3)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ 1 x)) 1/27) x)) 1/9) x)))) |
#s(approx (/ 1/9 (- x -1/3)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/243 (/ 1 x)) 1/81) x)) 1/27) x)) 1/9) x)))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | ((- x 1/3) x 1/3 (- x (/ 1 3)) -1/3 (- x (/ 1 3)) (/ (+ (* x x) -1/9) (- x -1/3)) (+ (* x x) -1/9) -1/9 (- x -1/3) (- (/ (* x x) (- x -1/3)) (/ 1/9 (- x -1/3))) (/ (* x x) (- x -1/3)) (* x x) (/ 1/9 (- x -1/3)) 1/9) |
| 2.0ms | x | @ | -inf | ((- x 1/3) x 1/3 (- x (/ 1 3)) -1/3 (- x (/ 1 3)) (/ (+ (* x x) -1/9) (- x -1/3)) (+ (* x x) -1/9) -1/9 (- x -1/3) (- (/ (* x x) (- x -1/3)) (/ 1/9 (- x -1/3))) (/ (* x x) (- x -1/3)) (* x x) (/ 1/9 (- x -1/3)) 1/9) |
| 2.0ms | x | @ | 0 | ((- x 1/3) x 1/3 (- x (/ 1 3)) -1/3 (- x (/ 1 3)) (/ (+ (* x x) -1/9) (- x -1/3)) (+ (* x x) -1/9) -1/9 (- x -1/3) (- (/ (* x x) (- x -1/3)) (/ 1/9 (- x -1/3))) (/ (* x x) (- x -1/3)) (* x x) (/ 1/9 (- x -1/3)) 1/9) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 177 | 824 |
| 0 | 186 | 669 |
| 1 | 897 | 659 |
| 0 | 7852 | 646 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(-.f64 x #s(literal 1/3 binary64)) |
x |
#s(literal 1/3 binary64) |
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
#s(literal -1/3 binary64) |
#s(approx (- x (/ 1 3)) x) |
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal -1/3 binary64))) |
(fma.f64 x x #s(literal -1/9 binary64)) |
#s(literal -1/9 binary64) |
(-.f64 x #s(literal -1/3 binary64)) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal -1/3 binary64)))) |
(/.f64 (*.f64 x x) (-.f64 x #s(literal -1/3 binary64))) |
(*.f64 x x) |
(/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal -1/3 binary64))) |
#s(literal 1/9 binary64) |
#s(approx (- x 1/3) #s(hole binary64 -1/3)) |
#s(approx (- x 1/3) #s(hole binary64 (- x 1/3))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- x (/ 1 3)) #s(hole binary64 -1/3)) |
#s(approx (- x (/ 1 3)) #s(hole binary64 (- x 1/3))) |
#s(approx (/ (+ (* x x) -1/9) (- x -1/3)) #s(hole binary64 -1/3)) |
#s(approx (/ (+ (* x x) -1/9) (- x -1/3)) #s(hole binary64 (- x 1/3))) |
#s(approx (+ (* x x) -1/9) #s(hole binary64 -1/9)) |
#s(approx (+ (* x x) -1/9) #s(hole binary64 (- (pow x 2) 1/9))) |
#s(approx (- x -1/3) #s(hole binary64 1/3)) |
#s(approx (- x -1/3) #s(hole binary64 (+ 1/3 x))) |
#s(approx (- (/ (* x x) (- x -1/3)) (/ 1/9 (- x -1/3))) #s(hole binary64 -1/3)) |
#s(approx (- (/ (* x x) (- x -1/3)) (/ 1/9 (- x -1/3))) #s(hole binary64 (- x 1/3))) |
#s(approx (/ (* x x) (- x -1/3)) #s(hole binary64 (* 3 (pow x 2)))) |
#s(approx (/ (* x x) (- x -1/3)) #s(hole binary64 (* (pow x 2) (+ 3 (* -9 x))))) |
#s(approx (/ (* x x) (- x -1/3)) #s(hole binary64 (* (pow x 2) (+ 3 (* x (- (* 27 x) 9)))))) |
#s(approx (/ (* x x) (- x -1/3)) #s(hole binary64 (* (pow x 2) (+ 3 (* x (- (* x (+ 27 (* -81 x))) 9)))))) |
#s(approx (* x x) #s(hole binary64 (pow x 2))) |
#s(approx (/ 1/9 (- x -1/3)) #s(hole binary64 1/3)) |
#s(approx (/ 1/9 (- x -1/3)) #s(hole binary64 (+ 1/3 (* -1 x)))) |
#s(approx (/ 1/9 (- x -1/3)) #s(hole binary64 (+ 1/3 (* x (- (* 3 x) 1))))) |
#s(approx (/ 1/9 (- x -1/3)) #s(hole binary64 (+ 1/3 (* x (- (* x (+ 3 (* -9 x))) 1))))) |
#s(approx (- x 1/3) #s(hole binary64 x)) |
#s(approx (- x 1/3) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (- x (/ 1 3)) #s(hole binary64 x)) |
#s(approx (- x (/ 1 3)) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (/ (+ (* x x) -1/9) (- x -1/3)) #s(hole binary64 x)) |
#s(approx (/ (+ (* x x) -1/9) (- x -1/3)) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (+ (* x x) -1/9) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* x x) -1/9) #s(hole binary64 (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2))))))) |
#s(approx (- x -1/3) #s(hole binary64 x)) |
#s(approx (- x -1/3) #s(hole binary64 (* x (+ 1 (* 1/3 (/ 1 x)))))) |
#s(approx (- (/ (* x x) (- x -1/3)) (/ 1/9 (- x -1/3))) #s(hole binary64 x)) |
#s(approx (- (/ (* x x) (- x -1/3)) (/ 1/9 (- x -1/3))) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (/ (* x x) (- x -1/3)) #s(hole binary64 x)) |
#s(approx (/ (* x x) (- x -1/3)) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (/ (* x x) (- x -1/3)) #s(hole binary64 (* x (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x)))))) |
#s(approx (/ (* x x) (- x -1/3)) #s(hole binary64 (* x (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3)))))))) |
#s(approx (/ 1/9 (- x -1/3)) #s(hole binary64 (/ 1/9 x))) |
#s(approx (/ 1/9 (- x -1/3)) #s(hole binary64 (/ (- 1/9 (* 1/27 (/ 1 x))) x))) |
#s(approx (/ 1/9 (- x -1/3)) #s(hole binary64 (/ (- (+ 1/9 (/ 1/81 (pow x 2))) (* 1/27 (/ 1 x))) x))) |
#s(approx (/ 1/9 (- x -1/3)) #s(hole binary64 (/ (- (+ 1/9 (/ 1/81 (pow x 2))) (+ (* 1/27 (/ 1 x)) (* 1/243 (/ 1 (pow x 3))))) x))) |
#s(approx (- x 1/3) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (- x (/ 1 3)) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (/ (+ (* x x) -1/9) (- x -1/3)) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (- (/ (* x x) (- x -1/3)) (/ 1/9 (- x -1/3))) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (/ (* x x) (- x -1/3)) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (/ (* x x) (- x -1/3)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1))))) |
#s(approx (/ (* x x) (- x -1/3)) #s(hole binary64 (* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1))))) |
#s(approx (/ 1/9 (- x -1/3)) #s(hole binary64 (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)))) |
#s(approx (/ 1/9 (- x -1/3)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* 1/81 (/ 1 x)) 1/27) x)) 1/9) x)))) |
#s(approx (/ 1/9 (- x -1/3)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/243 (/ 1 x)) 1/81) x)) 1/27) x)) 1/9) x)))) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1/9 binary64))) (-.f64 #s(literal 1/3 binary64) x)) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 x #s(literal 1/3 binary64))) |
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x |
#s(literal 1/3 binary64) |
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(fma.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64))) (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal -1/3 binary64)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (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 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal -1/3 binary64)))) (/.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64)) (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal -1/3 binary64))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal -1/3 binary64))) (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal -1/3 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal -1/3 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal -1/3 binary64))) (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal -1/3 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal -1/3 binary64))) (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (pow.f64 (-.f64 x #s(literal -1/3 binary64)) #s(literal 2 binary64)))) |
(-.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1/3 binary64))) x) (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal -1/3 binary64)))) |
(-.f64 x #s(literal 1/3 binary64)) |
(+.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal -1/3 binary64))) (*.f64 (/.f64 x (-.f64 x #s(literal -1/3 binary64))) x)) |
(+.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1/3 binary64))) x) (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal -1/3 binary64)))) |
(+.f64 #s(literal -1/3 binary64) x) |
(+.f64 x #s(literal -1/3 binary64)) |
(*.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #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) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 x #s(literal 1/3 binary64))) |
(*.f64 (/.f64 x (-.f64 x #s(literal -1/3 binary64))) x) |
(*.f64 (neg.f64 x) (/.f64 (neg.f64 x) (-.f64 x #s(literal -1/3 binary64)))) |
(*.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (-.f64 x #s(literal -1/3 binary64)))) |
(*.f64 x (/.f64 x (-.f64 x #s(literal -1/3 binary64)))) |
(/.f64 (*.f64 (neg.f64 x) x) (neg.f64 (-.f64 x #s(literal -1/3 binary64)))) |
(/.f64 (*.f64 x x) (neg.f64 (neg.f64 (-.f64 x #s(literal -1/3 binary64))))) |
(/.f64 (*.f64 x x) (-.f64 x #s(literal -1/3 binary64))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 x) x) (-.f64 x #s(literal -1/3 binary64)))) |
(neg.f64 (/.f64 (*.f64 x x) (neg.f64 (-.f64 x #s(literal -1/3 binary64))))) |
(*.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) x) |
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x)) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 x (*.f64 #s(literal -1 binary64) (neg.f64 x))) |
(*.f64 x x) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(fabs.f64 (*.f64 x x)) |
(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)))) |
(*.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) |
(*.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 x #s(literal 1/3 binary64))) |
(*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1/3 binary64)))) |
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/3 binary64) (-.f64 x #s(literal -1/3 binary64)))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/3 binary64) (-.f64 x #s(literal -1/3 binary64)))) |
(/.f64 #s(literal 1/9 binary64) (neg.f64 (neg.f64 (-.f64 x #s(literal -1/3 binary64))))) |
(/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal -1/3 binary64))) |
(/.f64 #s(literal -1/9 binary64) (neg.f64 (-.f64 x #s(literal -1/3 binary64)))) |
(neg.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal -1/3 binary64)))) |
#s(literal 1/9 binary64) |
#s(approx (/ (+ (* x x) -1/9) (- x -1/3)) #s(literal -1/3 binary64)) |
#s(approx (/ (+ (* x x) -1/9) (- x -1/3)) (-.f64 x #s(literal 1/3 binary64))) |
#s(approx x x) |
#s(approx (/ (+ (* x x) -1/9) (- x -1/3)) #s(literal -1/3 binary64)) |
#s(approx (/ (+ (* x x) -1/9) (- x -1/3)) (-.f64 x #s(literal 1/3 binary64))) |
#s(approx (/ (+ (* x x) -1/9) (- x -1/3)) #s(literal -1/3 binary64)) |
#s(approx (/ (+ (* x x) -1/9) (- x -1/3)) (-.f64 x #s(literal 1/3 binary64))) |
#s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) |
#s(approx (+ (* x x) -1/9) (fma.f64 x x #s(literal -1/9 binary64))) |
#s(approx (- x -1/3) #s(literal 1/3 binary64)) |
#s(approx (- x -1/3) (-.f64 x #s(literal -1/3 binary64))) |
#s(approx (/ (+ (* x x) -1/9) (- x -1/3)) #s(literal -1/3 binary64)) |
#s(approx (/ (+ (* x x) -1/9) (- x -1/3)) (-.f64 x #s(literal 1/3 binary64))) |
#s(approx (/ (* x x) (- x -1/3)) (*.f64 (*.f64 x x) #s(literal 3 binary64))) |
#s(approx (/ (* x x) (- x -1/3)) (*.f64 (*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)) x) x)) |
#s(approx (/ (* x x) (- x -1/3)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64)) x) x)) |
#s(approx (/ (* x x) (- x -1/3)) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -81 binary64) x #s(literal 27 binary64)) x #s(literal -9 binary64)) x #s(literal 3 binary64)) x) x)) |
#s(approx (* x x) (*.f64 x x)) |
#s(approx (/ 1/9 (- x -1/3)) #s(literal 1/3 binary64)) |
#s(approx (/ 1/9 (- x -1/3)) (-.f64 #s(literal 1/3 binary64) x)) |
#s(approx (/ 1/9 (- x -1/3)) (fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64)) x #s(literal 1/3 binary64))) |
#s(approx (/ 1/9 (- x -1/3)) (fma.f64 (fma.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)) x #s(literal -1 binary64)) x #s(literal 1/3 binary64))) |
#s(approx (/ (+ (* x x) -1/9) (- x -1/3)) x) |
#s(approx (/ (+ (* x x) -1/9) (- x -1/3)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) |
#s(approx (/ (+ (* x x) -1/9) (- x -1/3)) x) |
#s(approx (/ (+ (* x x) -1/9) (- x -1/3)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) |
#s(approx (/ (+ (* x x) -1/9) (- x -1/3)) x) |
#s(approx (/ (+ (* x x) -1/9) (- x -1/3)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) |
#s(approx (+ (* x x) -1/9) (*.f64 x x)) |
#s(approx (+ (* x x) -1/9) (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/9 binary64) #s(literal 1 binary64)) x) x)) |
#s(approx (- x -1/3) x) |
#s(approx (- x -1/3) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) x x)) |
#s(approx (/ (+ (* x x) -1/9) (- x -1/3)) x) |
#s(approx (/ (+ (* x x) -1/9) (- x -1/3)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) |
#s(approx (/ (* x x) (- x -1/3)) x) |
#s(approx (/ (* x x) (- x -1/3)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) |
#s(approx (/ (* x x) (- x -1/3)) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1/3 binary64)) x) #s(literal 1 binary64)) x)) |
#s(approx (/ (* x x) (- x -1/3)) (*.f64 (-.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1/3 binary64)) x) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) x)) |
#s(approx (/ 1/9 (- x -1/3)) (/.f64 #s(literal 1/9 binary64) x)) |
#s(approx (/ 1/9 (- x -1/3)) (/.f64 (-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/27 binary64) x)) x)) |
#s(approx (/ 1/9 (- x -1/3)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) x) #s(literal 1/9 binary64)) x)) |
#s(approx (/ 1/9 (- x -1/3)) (/.f64 (-.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) x) #s(literal 1/9 binary64)) (/.f64 #s(literal 1/243 binary64) (pow.f64 x #s(literal 3 binary64)))) x)) |
#s(approx (/ (+ (* x x) -1/9) (- x -1/3)) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)))) |
#s(approx (/ (+ (* x x) -1/9) (- x -1/3)) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)))) |
#s(approx (/ (+ (* x x) -1/9) (- x -1/3)) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)))) |
#s(approx (/ (+ (* x x) -1/9) (- x -1/3)) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)))) |
#s(approx (/ (* x x) (- x -1/3)) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)))) |
#s(approx (/ (* x x) (- x -1/3)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)))) |
#s(approx (/ (* x x) (- x -1/3)) (*.f64 (neg.f64 x) (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) x) #s(literal -1 binary64) #s(literal -1/3 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64)))) |
#s(approx (/ 1/9 (- x -1/3)) (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) (neg.f64 x))) |
#s(approx (/ 1/9 (- x -1/3)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal 1/27 binary64)) x) #s(literal -1 binary64) #s(literal -1/9 binary64)) (neg.f64 x))) |
#s(approx (/ 1/9 (- x -1/3)) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/243 binary64) x) #s(literal 1/81 binary64)) x) #s(literal -1 binary64) #s(literal -1/27 binary64)) x) #s(literal -1 binary64) #s(literal -1/9 binary64)) (neg.f64 x))) |
Compiled 3 975 to 667 computations (83.2% saved)
8 alts after pruning (5 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 218 | 4 | 222 |
| Fresh | 1 | 1 | 2 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 221 | 8 | 229 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (fma.f64 (/.f64 x (-.f64 x #s(literal -1/3 binary64))) x (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal -1/3 binary64)))) |
| ▶ | 76.3% | (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(approx (- x -1/3) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) x x))) |
| ▶ | 65.5% | (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (fma.f64 x x #s(literal 1/9 binary64))) (-.f64 x #s(literal -1/3 binary64))) |
| ▶ | 67.4% | (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) |
| ▶ | 48.3% | (/.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (-.f64 x #s(literal -1/3 binary64))) |
| ✓ | 100.0% | (-.f64 x #s(literal 1/3 binary64)) |
| ✓ | 51.3% | #s(approx (- x (/ 1 3)) x) |
| ✓ | 47.9% | #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
Compiled 147 to 110 computations (25.2% saved)
| Inputs |
|---|
(fma.f64 (/.f64 x (-.f64 x #s(literal -1/3 binary64))) x (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal -1/3 binary64)))) |
(/.f64 x (-.f64 x #s(literal -1/3 binary64))) |
x |
(-.f64 x #s(literal -1/3 binary64)) |
#s(literal -1/3 binary64) |
(/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal -1/3 binary64))) |
#s(literal -1/9 binary64) |
(/.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (-.f64 x #s(literal -1/3 binary64))) |
#s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) |
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(approx (- x -1/3) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) x x))) |
(fma.f64 x x #s(literal -1/9 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) |
#s(literal 1/3 binary64) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(literal 1/27 binary64) |
(fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) |
#s(literal 1/9 binary64) |
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (fma.f64 x x #s(literal 1/9 binary64))) (-.f64 x #s(literal -1/3 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (fma.f64 x x #s(literal 1/9 binary64))) |
(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal 1/81 binary64) |
(fma.f64 x x #s(literal 1/9 binary64)) |
| Outputs |
|---|
#s(approx (+ (* (/ x (- x -1/3)) x) (/ -1/9 (- x -1/3))) #s(hole binary64 -1/3)) |
#s(approx (+ (* (/ x (- x -1/3)) x) (/ -1/9 (- x -1/3))) #s(hole binary64 (- x 1/3))) |
#s(approx (/ x (- x -1/3)) #s(hole binary64 (* 3 x))) |
#s(approx (/ x (- x -1/3)) #s(hole binary64 (* x (+ 3 (* -9 x))))) |
#s(approx (/ x (- x -1/3)) #s(hole binary64 (* x (+ 3 (* x (- (* 27 x) 9)))))) |
#s(approx (/ x (- x -1/3)) #s(hole binary64 (* x (+ 3 (* x (- (* x (+ 27 (* -81 x))) 9)))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- x -1/3) #s(hole binary64 1/3)) |
#s(approx (- x -1/3) #s(hole binary64 (+ 1/3 x))) |
#s(approx (/ -1/9 (- x -1/3)) #s(hole binary64 -1/3)) |
#s(approx (/ -1/9 (- x -1/3)) #s(hole binary64 (- x 1/3))) |
#s(approx (/ -1/9 (- x -1/3)) #s(hole binary64 (- (* x (+ 1 (* -3 x))) 1/3))) |
#s(approx (/ -1/9 (- x -1/3)) #s(hole binary64 (- (* x (+ 1 (* x (- (* 9 x) 3)))) 1/3))) |
#s(approx (/ (+ (* x x) -1/9) (- x -1/3)) #s(hole binary64 -1/3)) |
#s(approx (/ (+ (* x x) -1/9) (- x -1/3)) #s(hole binary64 (- x 1/3))) |
#s(approx (+ (* x x) -1/9) #s(hole binary64 -1/9)) |
#s(approx (+ (* x x) -1/9) #s(hole binary64 (- (pow x 2) 1/9))) |
#s(approx (+ (* (/ 1/3 x) x) x) #s(hole binary64 1/3)) |
#s(approx (+ (* (/ 1/3 x) x) x) #s(hole binary64 (+ 1/3 x))) |
#s(approx (/ 1/3 x) #s(hole binary64 (/ 1/3 x))) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 -1/3)) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 (- x 1/3))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 -1/27)) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (- (pow x 3) 1/27))) |
#s(approx (pow x 3) #s(hole binary64 (pow x 3))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 1/9)) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (+ 1/9 (* 1/3 x)))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (+ 1/9 (* x (+ 1/3 x))))) |
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 1/9)) |
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 (+ 1/9 (* 1/3 x)))) |
#s(approx (/ (/ (- (pow x 4) 1/81) (+ (* x x) 1/9)) (- x -1/3)) #s(hole binary64 -1/3)) |
#s(approx (/ (/ (- (pow x 4) 1/81) (+ (* x x) 1/9)) (- x -1/3)) #s(hole binary64 (- x 1/3))) |
#s(approx (/ (- (pow x 4) 1/81) (+ (* x x) 1/9)) #s(hole binary64 -1/9)) |
#s(approx (/ (- (pow x 4) 1/81) (+ (* x x) 1/9)) #s(hole binary64 (- (pow x 2) 1/9))) |
#s(approx (- (pow x 4) 1/81) #s(hole binary64 -1/81)) |
#s(approx (- (pow x 4) 1/81) #s(hole binary64 (- (pow x 4) 1/81))) |
#s(approx (pow x 4) #s(hole binary64 (pow x 4))) |
#s(approx (+ (* x x) 1/9) #s(hole binary64 1/9)) |
#s(approx (+ (* x x) 1/9) #s(hole binary64 (+ 1/9 (pow x 2)))) |
#s(approx (+ (* (/ x (- x -1/3)) x) (/ -1/9 (- x -1/3))) #s(hole binary64 x)) |
#s(approx (+ (* (/ x (- x -1/3)) x) (/ -1/9 (- x -1/3))) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (/ x (- x -1/3)) #s(hole binary64 1)) |
#s(approx (/ x (- x -1/3)) #s(hole binary64 (- 1 (* 1/3 (/ 1 x))))) |
#s(approx (/ x (- x -1/3)) #s(hole binary64 (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))))) |
#s(approx (/ x (- x -1/3)) #s(hole binary64 (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))))) |
#s(approx (- x -1/3) #s(hole binary64 x)) |
#s(approx (- x -1/3) #s(hole binary64 (* x (+ 1 (* 1/3 (/ 1 x)))))) |
#s(approx (/ -1/9 (- x -1/3)) #s(hole binary64 (/ -1/9 x))) |
#s(approx (/ -1/9 (- x -1/3)) #s(hole binary64 (/ (- (* 1/27 (/ 1 x)) 1/9) x))) |
#s(approx (/ -1/9 (- x -1/3)) #s(hole binary64 (/ (- (* 1/27 (/ 1 x)) (+ 1/9 (/ 1/81 (pow x 2)))) x))) |
#s(approx (/ -1/9 (- x -1/3)) #s(hole binary64 (/ (- (+ (* 1/27 (/ 1 x)) (* 1/243 (/ 1 (pow x 3)))) (+ 1/9 (/ 1/81 (pow x 2)))) x))) |
#s(approx (/ (+ (* x x) -1/9) (- x -1/3)) #s(hole binary64 x)) |
#s(approx (/ (+ (* x x) -1/9) (- x -1/3)) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (+ (* x x) -1/9) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* x x) -1/9) #s(hole binary64 (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (/ 1/3 x) x) x) #s(hole binary64 x)) |
#s(approx (+ (* (/ 1/3 x) x) x) #s(hole binary64 (* x (+ 1 (* 1/3 (/ 1 x)))))) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 x)) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (pow x 3))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3))))))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/3 (/ 1 x)))))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))))) |
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 (* 1/3 x))) |
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 (* x (+ 1/3 (* 1/9 (/ 1 x)))))) |
#s(approx (/ (/ (- (pow x 4) 1/81) (+ (* x x) 1/9)) (- x -1/3)) #s(hole binary64 x)) |
#s(approx (/ (/ (- (pow x 4) 1/81) (+ (* x x) 1/9)) (- x -1/3)) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (/ (- (pow x 4) 1/81) (+ (* x x) 1/9)) #s(hole binary64 (pow x 2))) |
#s(approx (/ (- (pow x 4) 1/81) (+ (* x x) 1/9)) #s(hole binary64 (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2))))))) |
#s(approx (- (pow x 4) 1/81) #s(hole binary64 (pow x 4))) |
#s(approx (- (pow x 4) 1/81) #s(hole binary64 (* (pow x 4) (- 1 (* 1/81 (/ 1 (pow x 4))))))) |
#s(approx (+ (* x x) 1/9) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* x x) 1/9) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/9 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (/ x (- x -1/3)) x) (/ -1/9 (- x -1/3))) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (/ x (- x -1/3)) #s(hole binary64 (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x))))) |
#s(approx (/ x (- x -1/3)) #s(hole binary64 (+ 1 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x))) x))))) |
#s(approx (/ -1/9 (- x -1/3)) #s(hole binary64 (* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x)))) |
#s(approx (/ -1/9 (- x -1/3)) #s(hole binary64 (* -1 (/ (+ 1/9 (* -1 (/ (- 1/27 (* 1/81 (/ 1 x))) x))) x)))) |
#s(approx (/ -1/9 (- x -1/3)) #s(hole binary64 (* -1 (/ (+ 1/9 (* -1 (/ (+ 1/27 (* -1 (/ (- 1/81 (* 1/243 (/ 1 x))) x))) x))) x)))) |
#s(approx (/ (+ (* x x) -1/9) (- x -1/3)) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1))))) |
#s(approx (/ (/ (- (pow x 4) 1/81) (+ (* x x) 1/9)) (- x -1/3)) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | -inf | ((+ (* (/ x (- x -1/3)) x) (/ -1/9 (- x -1/3))) (/ x (- x -1/3)) x (- x -1/3) -1/3 (/ -1/9 (- x -1/3)) -1/9 (/ (+ (* x x) -1/9) (- x -1/3)) (+ (* x x) -1/9) (/ (+ (* x x) -1/9) (- x -1/3)) (+ (* x x) -1/9) (- x -1/3) (+ (* (/ 1/3 x) x) x) (/ 1/3 x) 1/3 (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) (- (pow x 3) 1/27) (pow x 3) 3 1/27 (+ (* x x) (+ (* 1/3 x) 1/9)) (+ (* 1/3 x) 1/9) 1/9 (/ (/ (- (pow x 4) 1/81) (+ (* x x) 1/9)) (- x -1/3)) (/ (- (pow x 4) 1/81) (+ (* x x) 1/9)) (- (pow x 4) 1/81) (pow x 4) 4 1/81 (+ (* x x) 1/9)) |
| 4.0ms | x | @ | 0 | ((+ (* (/ x (- x -1/3)) x) (/ -1/9 (- x -1/3))) (/ x (- x -1/3)) x (- x -1/3) -1/3 (/ -1/9 (- x -1/3)) -1/9 (/ (+ (* x x) -1/9) (- x -1/3)) (+ (* x x) -1/9) (/ (+ (* x x) -1/9) (- x -1/3)) (+ (* x x) -1/9) (- x -1/3) (+ (* (/ 1/3 x) x) x) (/ 1/3 x) 1/3 (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) (- (pow x 3) 1/27) (pow x 3) 3 1/27 (+ (* x x) (+ (* 1/3 x) 1/9)) (+ (* 1/3 x) 1/9) 1/9 (/ (/ (- (pow x 4) 1/81) (+ (* x x) 1/9)) (- x -1/3)) (/ (- (pow x 4) 1/81) (+ (* x x) 1/9)) (- (pow x 4) 1/81) (pow x 4) 4 1/81 (+ (* x x) 1/9)) |
| 4.0ms | x | @ | inf | ((+ (* (/ x (- x -1/3)) x) (/ -1/9 (- x -1/3))) (/ x (- x -1/3)) x (- x -1/3) -1/3 (/ -1/9 (- x -1/3)) -1/9 (/ (+ (* x x) -1/9) (- x -1/3)) (+ (* x x) -1/9) (/ (+ (* x x) -1/9) (- x -1/3)) (+ (* x x) -1/9) (- x -1/3) (+ (* (/ 1/3 x) x) x) (/ 1/3 x) 1/3 (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) (- (pow x 3) 1/27) (pow x 3) 3 1/27 (+ (* x x) (+ (* 1/3 x) 1/9)) (+ (* 1/3 x) 1/9) 1/9 (/ (/ (- (pow x 4) 1/81) (+ (* x x) 1/9)) (- x -1/3)) (/ (- (pow x 4) 1/81) (+ (* x x) 1/9)) (- (pow x 4) 1/81) (pow x 4) 4 1/81 (+ (* x x) 1/9)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 258 | 1363 |
| 0 | 288 | 1160 |
| 1 | 1248 | 1035 |
| 0 | 8357 | 1015 |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(fma.f64 (/.f64 x (-.f64 x #s(literal -1/3 binary64))) x (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal -1/3 binary64)))) |
(/.f64 x (-.f64 x #s(literal -1/3 binary64))) |
x |
(-.f64 x #s(literal -1/3 binary64)) |
#s(literal -1/3 binary64) |
(/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal -1/3 binary64))) |
#s(literal -1/9 binary64) |
(/.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (-.f64 x #s(literal -1/3 binary64))) |
#s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) |
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(approx (- x -1/3) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) x x))) |
(fma.f64 x x #s(literal -1/9 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) |
#s(literal 1/3 binary64) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(literal 1/27 binary64) |
(fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) |
#s(literal 1/9 binary64) |
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (fma.f64 x x #s(literal 1/9 binary64))) (-.f64 x #s(literal -1/3 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (fma.f64 x x #s(literal 1/9 binary64))) |
(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) |
(pow.f64 x #s(literal 4 binary64)) |
#s(literal 4 binary64) |
#s(literal 1/81 binary64) |
(fma.f64 x x #s(literal 1/9 binary64)) |
#s(approx (+ (* (/ x (- x -1/3)) x) (/ -1/9 (- x -1/3))) #s(hole binary64 -1/3)) |
#s(approx (+ (* (/ x (- x -1/3)) x) (/ -1/9 (- x -1/3))) #s(hole binary64 (- x 1/3))) |
#s(approx (/ x (- x -1/3)) #s(hole binary64 (* 3 x))) |
#s(approx (/ x (- x -1/3)) #s(hole binary64 (* x (+ 3 (* -9 x))))) |
#s(approx (/ x (- x -1/3)) #s(hole binary64 (* x (+ 3 (* x (- (* 27 x) 9)))))) |
#s(approx (/ x (- x -1/3)) #s(hole binary64 (* x (+ 3 (* x (- (* x (+ 27 (* -81 x))) 9)))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- x -1/3) #s(hole binary64 1/3)) |
#s(approx (- x -1/3) #s(hole binary64 (+ 1/3 x))) |
#s(approx (/ -1/9 (- x -1/3)) #s(hole binary64 -1/3)) |
#s(approx (/ -1/9 (- x -1/3)) #s(hole binary64 (- x 1/3))) |
#s(approx (/ -1/9 (- x -1/3)) #s(hole binary64 (- (* x (+ 1 (* -3 x))) 1/3))) |
#s(approx (/ -1/9 (- x -1/3)) #s(hole binary64 (- (* x (+ 1 (* x (- (* 9 x) 3)))) 1/3))) |
#s(approx (/ (+ (* x x) -1/9) (- x -1/3)) #s(hole binary64 -1/3)) |
#s(approx (/ (+ (* x x) -1/9) (- x -1/3)) #s(hole binary64 (- x 1/3))) |
#s(approx (+ (* x x) -1/9) #s(hole binary64 -1/9)) |
#s(approx (+ (* x x) -1/9) #s(hole binary64 (- (pow x 2) 1/9))) |
#s(approx (+ (* (/ 1/3 x) x) x) #s(hole binary64 1/3)) |
#s(approx (+ (* (/ 1/3 x) x) x) #s(hole binary64 (+ 1/3 x))) |
#s(approx (/ 1/3 x) #s(hole binary64 (/ 1/3 x))) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 -1/3)) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 (- x 1/3))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 -1/27)) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (- (pow x 3) 1/27))) |
#s(approx (pow x 3) #s(hole binary64 (pow x 3))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 1/9)) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (+ 1/9 (* 1/3 x)))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (+ 1/9 (* x (+ 1/3 x))))) |
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 1/9)) |
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 (+ 1/9 (* 1/3 x)))) |
#s(approx (/ (/ (- (pow x 4) 1/81) (+ (* x x) 1/9)) (- x -1/3)) #s(hole binary64 -1/3)) |
#s(approx (/ (/ (- (pow x 4) 1/81) (+ (* x x) 1/9)) (- x -1/3)) #s(hole binary64 (- x 1/3))) |
#s(approx (/ (- (pow x 4) 1/81) (+ (* x x) 1/9)) #s(hole binary64 -1/9)) |
#s(approx (/ (- (pow x 4) 1/81) (+ (* x x) 1/9)) #s(hole binary64 (- (pow x 2) 1/9))) |
#s(approx (- (pow x 4) 1/81) #s(hole binary64 -1/81)) |
#s(approx (- (pow x 4) 1/81) #s(hole binary64 (- (pow x 4) 1/81))) |
#s(approx (pow x 4) #s(hole binary64 (pow x 4))) |
#s(approx (+ (* x x) 1/9) #s(hole binary64 1/9)) |
#s(approx (+ (* x x) 1/9) #s(hole binary64 (+ 1/9 (pow x 2)))) |
#s(approx (+ (* (/ x (- x -1/3)) x) (/ -1/9 (- x -1/3))) #s(hole binary64 x)) |
#s(approx (+ (* (/ x (- x -1/3)) x) (/ -1/9 (- x -1/3))) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (/ x (- x -1/3)) #s(hole binary64 1)) |
#s(approx (/ x (- x -1/3)) #s(hole binary64 (- 1 (* 1/3 (/ 1 x))))) |
#s(approx (/ x (- x -1/3)) #s(hole binary64 (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))))) |
#s(approx (/ x (- x -1/3)) #s(hole binary64 (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))))) |
#s(approx (- x -1/3) #s(hole binary64 x)) |
#s(approx (- x -1/3) #s(hole binary64 (* x (+ 1 (* 1/3 (/ 1 x)))))) |
#s(approx (/ -1/9 (- x -1/3)) #s(hole binary64 (/ -1/9 x))) |
#s(approx (/ -1/9 (- x -1/3)) #s(hole binary64 (/ (- (* 1/27 (/ 1 x)) 1/9) x))) |
#s(approx (/ -1/9 (- x -1/3)) #s(hole binary64 (/ (- (* 1/27 (/ 1 x)) (+ 1/9 (/ 1/81 (pow x 2)))) x))) |
#s(approx (/ -1/9 (- x -1/3)) #s(hole binary64 (/ (- (+ (* 1/27 (/ 1 x)) (* 1/243 (/ 1 (pow x 3)))) (+ 1/9 (/ 1/81 (pow x 2)))) x))) |
#s(approx (/ (+ (* x x) -1/9) (- x -1/3)) #s(hole binary64 x)) |
#s(approx (/ (+ (* x x) -1/9) (- x -1/3)) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (+ (* x x) -1/9) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* x x) -1/9) #s(hole binary64 (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (/ 1/3 x) x) x) #s(hole binary64 x)) |
#s(approx (+ (* (/ 1/3 x) x) x) #s(hole binary64 (* x (+ 1 (* 1/3 (/ 1 x)))))) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 x)) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (pow x 3))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3))))))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/3 (/ 1 x)))))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))))) |
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 (* 1/3 x))) |
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 (* x (+ 1/3 (* 1/9 (/ 1 x)))))) |
#s(approx (/ (/ (- (pow x 4) 1/81) (+ (* x x) 1/9)) (- x -1/3)) #s(hole binary64 x)) |
#s(approx (/ (/ (- (pow x 4) 1/81) (+ (* x x) 1/9)) (- x -1/3)) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (/ (- (pow x 4) 1/81) (+ (* x x) 1/9)) #s(hole binary64 (pow x 2))) |
#s(approx (/ (- (pow x 4) 1/81) (+ (* x x) 1/9)) #s(hole binary64 (* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2))))))) |
#s(approx (- (pow x 4) 1/81) #s(hole binary64 (pow x 4))) |
#s(approx (- (pow x 4) 1/81) #s(hole binary64 (* (pow x 4) (- 1 (* 1/81 (/ 1 (pow x 4))))))) |
#s(approx (+ (* x x) 1/9) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* x x) 1/9) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/9 (/ 1 (pow x 2))))))) |
#s(approx (+ (* (/ x (- x -1/3)) x) (/ -1/9 (- x -1/3))) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (/ x (- x -1/3)) #s(hole binary64 (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x))))) |
#s(approx (/ x (- x -1/3)) #s(hole binary64 (+ 1 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x))) x))))) |
#s(approx (/ -1/9 (- x -1/3)) #s(hole binary64 (* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x)))) |
#s(approx (/ -1/9 (- x -1/3)) #s(hole binary64 (* -1 (/ (+ 1/9 (* -1 (/ (- 1/27 (* 1/81 (/ 1 x))) x))) x)))) |
#s(approx (/ -1/9 (- x -1/3)) #s(hole binary64 (* -1 (/ (+ 1/9 (* -1 (/ (+ 1/27 (* -1 (/ (- 1/81 (* 1/243 (/ 1 x))) x))) x))) x)))) |
#s(approx (/ (+ (* x x) -1/9) (- x -1/3)) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1))))) |
#s(approx (/ (/ (- (pow x 4) 1/81) (+ (* x x) 1/9)) (- x -1/3)) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))) (*.f64 (/.f64 #s(literal 1/27 binary64) (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 (/.f64 (pow.f64 x #s(literal 3 binary64)) (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 (-.f64 (pow.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal -1/3 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1/3 binary64))) x) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal -1/3 binary64))) (*.f64 (/.f64 x (-.f64 x #s(literal -1/3 binary64))) x))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 #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 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) (fma.f64 (/.f64 #s(literal 1/27 binary64) (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 (/.f64 (pow.f64 x #s(literal 3 binary64)) (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)))))))) |
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x |
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(/.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1/9 binary64))) |
(/.f64 (+.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1/81 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal 1/9 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/729 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal -1/9 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/729 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal 1/9 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1/9 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) |
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) #s(literal 1/9 binary64)) |
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) #s(literal 1/9 binary64)) |
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) #s(literal 1/9 binary64)) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) #s(literal 1/9 binary64)) |
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal 1/9 binary64)) |
(fma.f64 (fabs.f64 x) (fabs.f64 x) #s(literal 1/9 binary64)) |
(fma.f64 x x #s(literal 1/9 binary64)) |
(-.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 (neg.f64 x) x #s(literal 1/9 binary64))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1/9 binary64)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 #s(literal 1/81 binary64) (fma.f64 x x #s(literal -1/9 binary64)))) |
(-.f64 (*.f64 x x) #s(literal -1/9 binary64)) |
(-.f64 #s(literal 1/9 binary64) (*.f64 (neg.f64 x) x)) |
(+.f64 (/.f64 #s(literal 1/729 binary64) (+.f64 #s(literal 1/81 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal 1/9 binary64))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/81 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal 1/9 binary64)))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal 1/9 binary64))))) (/.f64 #s(literal 1/729 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal 1/9 binary64)))))) |
(+.f64 (*.f64 x x) #s(literal 1/9 binary64)) |
(+.f64 #s(literal 1/9 binary64) (*.f64 x x)) |
#s(approx (/ (/ (- (pow x 4) 1/81) (+ (* x x) 1/9)) (- x -1/3)) #s(literal -1/3 binary64)) |
#s(approx (/ (/ (- (pow x 4) 1/81) (+ (* x x) 1/9)) (- x -1/3)) (-.f64 x #s(literal 1/3 binary64))) |
#s(approx (/ x (- x -1/3)) (*.f64 #s(literal 3 binary64) x)) |
#s(approx (/ x (- x -1/3)) (*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)) x)) |
#s(approx (/ x (- x -1/3)) (*.f64 (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64)) x)) |
#s(approx (/ x (- x -1/3)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -81 binary64) x #s(literal 27 binary64)) x #s(literal -9 binary64)) x #s(literal 3 binary64)) x)) |
#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 (/ -1/9 (- x -1/3)) #s(literal -1/3 binary64)) |
#s(approx (/ -1/9 (- x -1/3)) (-.f64 x #s(literal 1/3 binary64))) |
#s(approx (/ -1/9 (- x -1/3)) (fma.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1 binary64)) x #s(literal -1/3 binary64))) |
#s(approx (/ -1/9 (- x -1/3)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal 3 binary64)) x #s(literal 1 binary64)) x #s(literal -1/3 binary64))) |
#s(approx (/ (/ (- (pow x 4) 1/81) (+ (* x x) 1/9)) (- x -1/3)) #s(literal -1/3 binary64)) |
#s(approx (/ (/ (- (pow x 4) 1/81) (+ (* x x) 1/9)) (- x -1/3)) (-.f64 x #s(literal 1/3 binary64))) |
#s(approx (/ (- (pow x 4) 1/81) (+ (* x x) 1/9)) #s(literal -1/9 binary64)) |
#s(approx (/ (- (pow x 4) 1/81) (+ (* x x) 1/9)) (fma.f64 x x #s(literal -1/9 binary64))) |
#s(approx (+ (* (/ 1/3 x) x) x) #s(literal 1/3 binary64)) |
#s(approx (+ (* (/ 1/3 x) x) x) (-.f64 x #s(literal -1/3 binary64))) |
#s(approx (/ 1/3 x) (/.f64 #s(literal 1/3 binary64) x)) |
#s(approx (/ (/ (- (pow x 4) 1/81) (+ (* x x) 1/9)) (- x -1/3)) #s(literal -1/3 binary64)) |
#s(approx (/ (/ (- (pow x 4) 1/81) (+ (* x x) 1/9)) (- x -1/3)) (-.f64 x #s(literal 1/3 binary64))) |
#s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) |
#s(approx (- (pow x 3) 1/27) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) |
#s(approx (pow x 3) (pow.f64 x #s(literal 3 binary64))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(literal 1/9 binary64)) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))) |
#s(approx (+ (* 1/3 x) 1/9) #s(literal 1/9 binary64)) |
#s(approx (+ (* 1/3 x) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
#s(approx (/ (/ (- (pow x 4) 1/81) (+ (* x x) 1/9)) (- x -1/3)) #s(literal -1/3 binary64)) |
#s(approx (/ (/ (- (pow x 4) 1/81) (+ (* x x) 1/9)) (- x -1/3)) (-.f64 x #s(literal 1/3 binary64))) |
#s(approx (/ (- (pow x 4) 1/81) (+ (* x x) 1/9)) #s(literal -1/9 binary64)) |
#s(approx (/ (- (pow x 4) 1/81) (+ (* x x) 1/9)) (fma.f64 x x #s(literal -1/9 binary64))) |
#s(approx (- (pow x 4) 1/81) #s(literal -1/81 binary64)) |
#s(approx (- (pow x 4) 1/81) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64))) |
#s(approx (pow x 4) (pow.f64 x #s(literal 4 binary64))) |
#s(approx (+ (* x x) 1/9) #s(literal 1/9 binary64)) |
#s(approx (+ (* x x) 1/9) (fma.f64 x x #s(literal 1/9 binary64))) |
#s(approx (/ (/ (- (pow x 4) 1/81) (+ (* x x) 1/9)) (- x -1/3)) x) |
#s(approx (/ (/ (- (pow x 4) 1/81) (+ (* x x) 1/9)) (- x -1/3)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) |
#s(approx (/ x (- x -1/3)) #s(literal 1 binary64)) |
#s(approx (/ x (- x -1/3)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
#s(approx (/ x (- x -1/3)) (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) x))) |
#s(approx (/ x (- x -1/3)) (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/27 binary64) (/.f64 #s(literal 1/3 binary64) x)))) |
#s(approx (- x -1/3) x) |
#s(approx (- x -1/3) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) x x)) |
#s(approx (/ -1/9 (- x -1/3)) (/.f64 #s(literal -1/9 binary64) x)) |
#s(approx (/ -1/9 (- x -1/3)) (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal 1/9 binary64)) x)) |
#s(approx (/ -1/9 (- x -1/3)) (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) x) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) #s(literal 1/9 binary64))) x)) |
#s(approx (/ -1/9 (- x -1/3)) (/.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/243 binary64) (/.f64 #s(literal 1/27 binary64) x)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/81 binary64) #s(literal 1/9 binary64))) x)) |
#s(approx (/ (/ (- (pow x 4) 1/81) (+ (* x x) 1/9)) (- x -1/3)) x) |
#s(approx (/ (/ (- (pow x 4) 1/81) (+ (* x x) 1/9)) (- x -1/3)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) |
#s(approx (/ (- (pow x 4) 1/81) (+ (* x x) 1/9)) (*.f64 x x)) |
#s(approx (/ (- (pow x 4) 1/81) (+ (* x x) 1/9)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64))) (*.f64 x x))) |
#s(approx (+ (* (/ 1/3 x) x) x) x) |
#s(approx (+ (* (/ 1/3 x) x) x) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) x x)) |
#s(approx (/ (/ (- (pow x 4) 1/81) (+ (* x x) 1/9)) (- x -1/3)) x) |
#s(approx (/ (/ (- (pow x 4) 1/81) (+ (* x x) 1/9)) (- x -1/3)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) |
#s(approx (- (pow x 3) 1/27) (pow.f64 x #s(literal 3 binary64))) |
#s(approx (- (pow x 3) 1/27) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (*.f64 x x)) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)) (*.f64 x x))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (*.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64) (/.f64 #s(literal 1/3 binary64) x)) #s(literal -1 binary64)) (*.f64 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 (/ (/ (- (pow x 4) 1/81) (+ (* x x) 1/9)) (- x -1/3)) x) |
#s(approx (/ (/ (- (pow x 4) 1/81) (+ (* x x) 1/9)) (- x -1/3)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) |
#s(approx (/ (- (pow x 4) 1/81) (+ (* x x) 1/9)) (*.f64 x x)) |
#s(approx (/ (- (pow x 4) 1/81) (+ (* x x) 1/9)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 2 binary64))) (*.f64 x x))) |
#s(approx (- (pow x 4) 1/81) (pow.f64 x #s(literal 4 binary64))) |
#s(approx (- (pow x 4) 1/81) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 1/81 binary64))) (pow.f64 x #s(literal 4 binary64)))) |
#s(approx (+ (* x x) 1/9) (*.f64 x x)) |
#s(approx (+ (* x x) 1/9) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/9 binary64) #s(literal 1 binary64)) (*.f64 x x))) |
#s(approx (/ (/ (- (pow x 4) 1/81) (+ (* x x) 1/9)) (- x -1/3)) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)))) |
#s(approx (/ x (- x -1/3)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x))) |
#s(approx (/ x (- x -1/3)) (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/27 binary64) x)) x) #s(literal -1/3 binary64)) x) #s(literal -1 binary64))) |
#s(approx (/ -1/9 (- x -1/3)) (/.f64 (-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/27 binary64) x)) (neg.f64 x))) |
#s(approx (/ -1/9 (- x -1/3)) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1/81 binary64) x)) x) #s(literal -1/9 binary64)) x)) |
#s(approx (/ -1/9 (- x -1/3)) (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1/27 binary64) (/.f64 (-.f64 #s(literal 1/81 binary64) (/.f64 #s(literal 1/243 binary64) x)) x)) x) #s(literal -1/9 binary64)) x)) |
#s(approx (/ (/ (- (pow x 4) 1/81) (+ (* x x) 1/9)) (- x -1/3)) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)))) |
#s(approx (/ (/ (- (pow x 4) 1/81) (+ (* x x) 1/9)) (- x -1/3)) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)))) |
#s(approx (- (pow x 3) 1/27) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/27 binary64) #s(literal -1 binary64)))) |
#s(approx (/ (/ (- (pow x 4) 1/81) (+ (* x x) 1/9)) (- x -1/3)) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)))) |
Compiled 8 549 to 1 360 computations (84.1% saved)
8 alts after pruning (1 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 381 | 1 | 382 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 382 | 8 | 390 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (/.f64 x (-.f64 x #s(literal -1/3 binary64))) x (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal -1/3 binary64)))) |
| ✓ | 76.3% | (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(approx (- x -1/3) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) x x))) |
| ✓ | 65.5% | (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (fma.f64 x x #s(literal 1/9 binary64))) (-.f64 x #s(literal -1/3 binary64))) |
| ▶ | 49.4% | (/.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) |
| ✓ | 48.3% | (/.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (-.f64 x #s(literal -1/3 binary64))) |
| ✓ | 100.0% | (-.f64 x #s(literal 1/3 binary64)) |
| ✓ | 51.3% | #s(approx (- x (/ 1 3)) x) |
| ✓ | 47.9% | #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
Compiled 84 to 65 computations (22.6% saved)
| Inputs |
|---|
(/.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) |
#s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) |
#s(literal -1/27 binary64) |
(fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
x |
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) |
#s(literal 1/3 binary64) |
#s(literal 1/9 binary64) |
| Outputs |
|---|
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 -1/3)) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 (- x 1/3))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 -1/27)) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (- (pow x 3) 1/27))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 1/9)) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (+ 1/9 (* 1/3 x)))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (+ 1/9 (* x (+ 1/3 x))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 1/9)) |
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 (+ 1/9 (* 1/3 x)))) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 x)) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (pow x 3))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3))))))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/3 (/ 1 x)))))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))))) |
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 (* 1/3 x))) |
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 (* x (+ 1/3 (* 1/9 (/ 1 x)))))) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) (- (pow x 3) 1/27) -1/27 (+ (* x x) (+ (* 1/3 x) 1/9)) x (+ (* 1/3 x) 1/9) 1/3 1/9) |
| 1.0ms | x | @ | inf | ((/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) (- (pow x 3) 1/27) -1/27 (+ (* x x) (+ (* 1/3 x) 1/9)) x (+ (* 1/3 x) 1/9) 1/3 1/9) |
| 1.0ms | x | @ | 0 | ((/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) (- (pow x 3) 1/27) -1/27 (+ (* x x) (+ (* 1/3 x) 1/9)) x (+ (* 1/3 x) 1/9) 1/3 1/9) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 332 |
| 0 | 75 | 264 |
| 1 | 334 | 264 |
| 0 | 2902 | 252 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(/.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) |
#s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) |
#s(literal -1/27 binary64) |
(fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
x |
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) |
#s(literal 1/3 binary64) |
#s(literal 1/9 binary64) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 -1/3)) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 (- x 1/3))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 -1/27)) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (- (pow x 3) 1/27))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 1/9)) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (+ 1/9 (* 1/3 x)))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (+ 1/9 (* x (+ 1/3 x))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 1/9)) |
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 (+ 1/9 (* 1/3 x)))) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 x)) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (pow x 3))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3))))))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/3 (/ 1 x)))))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))))) |
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 (* 1/3 x))) |
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 (* x (+ 1/3 (* 1/9 (/ 1 x)))))) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1))))) |
| Outputs |
|---|
(*.f64 (/.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 x (-.f64 x #s(literal 1/3 binary64))) #s(literal 1/9 binary64))) |
(*.f64 (/.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 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)) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (neg.f64 (neg.f64 #s(approx (- (pow x 3) 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 (- (pow x 3) 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 (- (pow x 3) 1/27) #s(literal -1/27 binary64)) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))) |
(neg.f64 (/.f64 (neg.f64 #s(approx (- (pow x 3) 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 (- (pow x 3) 1/27) #s(literal -1/27 binary64)) (fma.f64 (neg.f64 x) (-.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) |
#s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) |
#s(literal -1/27 binary64) |
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 x x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) #s(literal 1/81 binary64)) (-.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 1/9 binary64))) |
(/.f64 (-.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 (neg.f64 x) (-.f64 x #s(literal -1/3 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1/81 binary64) (+.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) (*.f64 #s(literal 1/9 binary64) (*.f64 (neg.f64 x) (-.f64 x #s(literal -1/3 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 x (-.f64 x #s(literal 1/3 binary64))) #s(literal 1/9 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (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)) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (-.f64 x #s(literal -1/3 binary64)) x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 3 binary64)) #s(literal 1/729 binary64))) (neg.f64 (fma.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) (-.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 1/9 binary64)) #s(literal 1/81 binary64)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 x (-.f64 x #s(literal 1/3 binary64))) #s(literal 1/9 binary64))) |
(/.f64 (-.f64 #s(literal 1/81 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64))) (-.f64 #s(literal 1/9 binary64) (*.f64 (-.f64 x #s(literal -1/3 binary64)) x))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 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)) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 3 binary64)) #s(literal 1/729 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 binary64)) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 1/9 binary64))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 3 binary64)) #s(literal 1/729 binary64)) (fma.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) (-.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 1/9 binary64)) #s(literal 1/81 binary64))) |
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
(fma.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
(fma.f64 (*.f64 #s(literal 1 binary64) x) x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
(fma.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
(fma.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
(fma.f64 (neg.f64 x) (neg.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
(fma.f64 (fabs.f64 x) (fabs.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
(fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x x))) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1/9 binary64))) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/9 binary64) (*.f64 x x))) |
(fma.f64 #s(literal 1/3 binary64) (-.f64 x #s(literal -1/3 binary64)) (*.f64 x x)) |
(fma.f64 #s(literal 1/3 binary64) x (fma.f64 x 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 x (*.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
(fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) |
(fma.f64 x #s(literal 1/3 binary64) (fma.f64 x x #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 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x (-.f64 x #s(literal 1/3 binary64))) #s(literal 1/9 binary64))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 2 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 (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 2 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 (pow.f64 x #s(literal 6 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)) (pow.f64 x #s(literal 4 binary64)))) (/.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)) (pow.f64 x #s(literal 4 binary64))))) |
(+.f64 (/.f64 #s(literal 1/729 binary64) (fma.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) (-.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 1/9 binary64)) #s(literal 1/81 binary64))) (/.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 3 binary64)) (fma.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) (-.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 1/9 binary64)) #s(literal 1/81 binary64)))) |
(+.f64 (*.f64 x x) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
(+.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 1/9 binary64)) |
(+.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 x x)) |
(+.f64 (*.f64 #s(literal 1/3 binary64) x) (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 #s(literal 1/9 binary64) (*.f64 (neg.f64 (neg.f64 x)) (-.f64 x #s(literal -1/3 binary64)))) |
(+.f64 #s(literal 1/9 binary64) (*.f64 (-.f64 x #s(literal -1/3 binary64)) x)) |
x |
(*.f64 #s(literal 1/3 binary64) (-.f64 x #s(literal -1/3 binary64))) |
(/.f64 (-.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/81 binary64) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) (*.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/3 binary64) x))))) |
(/.f64 (neg.f64 (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 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 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 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 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 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 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 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 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 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 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 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 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 1/3 binary64) |
#s(literal 1/9 binary64) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(literal -1/3 binary64)) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) (-.f64 x #s(literal 1/3 binary64))) |
#s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) |
#s(approx (- (pow x 3) 1/27) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(literal 1/9 binary64)) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))) |
#s(approx x x) |
#s(approx (+ (* 1/3 x) 1/9) #s(literal 1/9 binary64)) |
#s(approx (+ (* 1/3 x) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) x) |
#s(approx (/ (- (pow x 3) 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 (- (pow x 3) 1/27) (pow.f64 x #s(literal 3 binary64))) |
#s(approx (- (pow x 3) 1/27) (*.f64 (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal -1/27 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (*.f64 x x)) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)) x) x)) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)) x) x)) |
#s(approx (+ (* 1/3 x) 1/9) (*.f64 #s(literal 1/3 binary64) x)) |
#s(approx (+ (* 1/3 x) 1/9) (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64)) x)) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)))) |
#s(approx (- (pow x 3) 1/27) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1/27 binary64) #s(literal -1 binary64)))) |
Compiled 2 463 to 407 computations (83.5% saved)
9 alts after pruning (2 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 110 | 2 | 112 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 7 | 7 |
| Total | 111 | 9 | 120 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (/.f64 x (-.f64 x #s(literal -1/3 binary64))) x (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal -1/3 binary64)))) |
| ✓ | 76.3% | (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(approx (- x -1/3) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) x x))) |
| ✓ | 65.5% | (/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (fma.f64 x x #s(literal 1/9 binary64))) (-.f64 x #s(literal -1/3 binary64))) |
| 49.4% | (/.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))) | |
| 48.3% | (/.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) #s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) | |
| ✓ | 48.3% | (/.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (-.f64 x #s(literal -1/3 binary64))) |
| ✓ | 100.0% | (-.f64 x #s(literal 1/3 binary64)) |
| ✓ | 51.3% | #s(approx (- x (/ 1 3)) x) |
| ✓ | 47.9% | #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
Compiled 285 to 151 computations (47% saved)
| Inputs |
|---|
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
#s(approx (- x (/ 1 3)) x) |
(-.f64 x #s(literal 1/3 binary64)) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
(/.f64 #s(approx (+ (* x x) -1/9) #s(literal -1/9 binary64)) (-.f64 x #s(literal -1/3 binary64))) |
(/.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) #s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) |
(/.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))) |
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal -1/3 binary64))) |
(/.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) |
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(approx (- x -1/3) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) x x))) |
(fma.f64 (/.f64 x (-.f64 x #s(literal -1/3 binary64))) x (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal -1/3 binary64)))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal -1/3 binary64)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #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 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (fma.f64 x x #s(literal 1/9 binary64))) (-.f64 x #s(literal -1/3 binary64))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (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))))) |
| Outputs |
|---|
(-.f64 x #s(literal 1/3 binary64)) |
2 calls:
| 7.0ms | (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| 100.0% | 1 | x |
Compiled 6 to 6 computations (0% saved)
| Inputs |
|---|
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
#s(approx (- x (/ 1 3)) x) |
| Outputs |
|---|
#s(approx (- x (/ 1 3)) x) |
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
#s(approx (- x (/ 1 3)) x) |
2 calls:
| 1.0ms | x |
| 1.0ms | (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.6% | 3 | (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| 95.6% | 3 | x |
Compiled 6 to 6 computations (0% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
| Outputs |
|---|
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
2 calls:
| 1.0ms | x |
| 1.0ms | (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 47.9% | 1 | (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| 47.9% | 1 | x |
Compiled 6 to 6 computations (0% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 0.024543267063250867 | 1754.1801484152732 |
| 4.0ms | -0.8159350763665824 | -0.3041832592468975 |
| 4.0ms | 224× | 0 | valid |
Compiled 204 to 219 computations (-7.4% saved)
ival-sub!: 1.0ms (137.6% of total)adjust: 0.0ms (0% of total)| 1× | fuel |
Compiled 39 to 16 computations (59% saved)
Compiled 88 to 42 computations (52.3% saved)
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