
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)
| 292.0ms | 8 256× | 0 | valid |
ival-sub!: 66.0ms (98% of total)adjust: 2.0ms (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 |
| 13.0ms | 512× | 0 | valid |
Compiled 31 to 19 computations (38.7% saved)
ival-sub!: 2.0ms (107.9% 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 | 5003 | 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 | 86 | 50 |
| 0 | 581 | 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 |
(*.f64 (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal 3 binary64) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1/3 binary64) #s(literal -1 binary64)) |
(*.f64 #s(literal 1/3 binary64) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) |
(pow.f64 #s(literal 3 binary64) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) #s(literal -3 binary64)) |
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
(neg.f64 #s(literal -1/3 binary64)) |
(fabs.f64 #s(literal 1/3 binary64)) |
(exp.f64 (*.f64 (log.f64 #s(literal 3 binary64)) #s(literal -1 binary64))) |
#s(literal 1/3 binary64) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64))) |
(*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(pow.f64 #s(literal 1 binary64) #s(literal 4 binary64)) |
(pow.f64 #s(literal 1 binary64) #s(literal 6 binary64)) |
(pow.f64 #s(literal 1 binary64) #s(literal 9 binary64)) |
(pow.f64 #s(literal 1 binary64) #s(literal 2 binary64)) |
(pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
(/.f64 #s(literal 2 binary64) #s(literal 2 binary64)) |
(neg.f64 #s(literal -1 binary64)) |
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) #s(literal 0 binary64)) |
(cosh.f64 #s(literal 0 binary64)) |
(fabs.f64 #s(literal 1 binary64)) |
(exp.f64 #s(literal 0 binary64)) |
(+.f64 #s(literal 1 binary64) #s(literal 0 binary64)) |
#s(literal 1 binary64) |
(pow.f64 #s(literal 3 binary64) #s(literal 1 binary64)) |
(neg.f64 #s(literal -3 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 334 to 137 computations (59% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 38 | 5 | 43 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 39 | 5 | 44 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 67.6% | (/.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)))) |
| ▶ | 100.0% | (-.f64 x #s(literal 1/3 binary64)) |
| ▶ | 99.9% | #s(approx (- x (/ 1 3)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) |
| ▶ | 52.4% | #s(approx (- x (/ 1 3)) x) |
| ▶ | 49.9% | #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
Compiled 86 to 74 computations (14% saved)
| Inputs |
|---|
(-.f64 x #s(literal 1/3 binary64)) |
x |
#s(literal 1/3 binary64) |
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
#s(literal -1/3 binary64) |
#s(approx (- x (/ 1 3)) x) |
#s(approx (- x (/ 1 3)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 (-.f64 (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) |
| Outputs |
|---|
#s(approx (- x 1/3) #s(hole binary64 -1/3)) |
#s(approx (- x 1/3) #s(hole binary64 (- x 1/3))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- x (/ 1 3)) #s(hole binary64 -1/3)) |
#s(approx (- x (/ 1 3)) #s(hole binary64 (- x 1/3))) |
#s(approx (* (- 1 (/ 1/3 x)) x) #s(hole binary64 -1/3)) |
#s(approx (* (- 1 (/ 1/3 x)) x) #s(hole binary64 (- x 1/3))) |
#s(approx (- 1 (/ 1/3 x)) #s(hole binary64 (/ -1/3 x))) |
#s(approx (- 1 (/ 1/3 x)) #s(hole binary64 (/ (- x 1/3) x))) |
#s(approx (/ 1/3 x) #s(hole binary64 (/ 1/3 x))) |
#s(approx (/ (- (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 (- x 1/3) #s(hole binary64 x)) |
#s(approx (- x 1/3) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (- x (/ 1 3)) #s(hole binary64 x)) |
#s(approx (- x (/ 1 3)) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (* (- 1 (/ 1/3 x)) x) #s(hole binary64 x)) |
#s(approx (* (- 1 (/ 1/3 x)) x) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (- 1 (/ 1/3 x)) #s(hole binary64 1)) |
#s(approx (- 1 (/ 1/3 x)) #s(hole binary64 (- 1 (* 1/3 (/ 1 x))))) |
#s(approx (/ (- (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 (- x 1/3) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (- x (/ 1 3)) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (* (- 1 (/ 1/3 x)) x) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (/ (- (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 | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | ((- x 1/3) x 1/3 (- x (/ 1 3)) -1/3 (- x (/ 1 3)) (- x (/ 1 3)) (* (- 1 (/ 1/3 x)) x) (- 1 (/ 1/3 x)) 1 (/ 1/3 x) (/ (- (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) |
| 2.0ms | x | @ | 0 | ((- x 1/3) x 1/3 (- x (/ 1 3)) -1/3 (- x (/ 1 3)) (- x (/ 1 3)) (* (- 1 (/ 1/3 x)) x) (- 1 (/ 1/3 x)) 1 (/ 1/3 x) (/ (- (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) |
| 2.0ms | x | @ | inf | ((- x 1/3) x 1/3 (- x (/ 1 3)) -1/3 (- x (/ 1 3)) (- x (/ 1 3)) (* (- 1 (/ 1/3 x)) x) (- 1 (/ 1/3 x)) 1 (/ 1/3 x) (/ (- (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) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 99 | 582 |
| 0 | 112 | 487 |
| 1 | 403 | 487 |
| 0 | 3275 | 476 |
| 1× | iter-limit |
| 1× | iter-limit |
| 1× | node-limit |
| 1× | iter-limit |
| Inputs |
|---|
(-.f64 x #s(literal 1/3 binary64)) |
x |
#s(literal 1/3 binary64) |
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
#s(literal -1/3 binary64) |
#s(approx (- x (/ 1 3)) x) |
#s(approx (- x (/ 1 3)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1/3 binary64) x) |
(/.f64 (-.f64 (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) |
#s(approx (- x 1/3) #s(hole binary64 -1/3)) |
#s(approx (- x 1/3) #s(hole binary64 (- x 1/3))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- x (/ 1 3)) #s(hole binary64 -1/3)) |
#s(approx (- x (/ 1 3)) #s(hole binary64 (- x 1/3))) |
#s(approx (* (- 1 (/ 1/3 x)) x) #s(hole binary64 -1/3)) |
#s(approx (* (- 1 (/ 1/3 x)) x) #s(hole binary64 (- x 1/3))) |
#s(approx (- 1 (/ 1/3 x)) #s(hole binary64 (/ -1/3 x))) |
#s(approx (- 1 (/ 1/3 x)) #s(hole binary64 (/ (- x 1/3) x))) |
#s(approx (/ 1/3 x) #s(hole binary64 (/ 1/3 x))) |
#s(approx (/ (- (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 (- x 1/3) #s(hole binary64 x)) |
#s(approx (- x 1/3) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (- x (/ 1 3)) #s(hole binary64 x)) |
#s(approx (- x (/ 1 3)) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (* (- 1 (/ 1/3 x)) x) #s(hole binary64 x)) |
#s(approx (* (- 1 (/ 1/3 x)) x) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (- 1 (/ 1/3 x)) #s(hole binary64 1)) |
#s(approx (- 1 (/ 1/3 x)) #s(hole binary64 (- 1 (* 1/3 (/ 1 x))))) |
#s(approx (/ (- (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 (- x 1/3) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (- x (/ 1 3)) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (* (- 1 (/ 1/3 x)) x) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (/ (- (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 (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)) (-.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 (-.f64 (pow.f64 x #s(literal 3 binary64)) #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 (-.f64 (pow.f64 x #s(literal 3 binary64)) #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)))) |
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(fma.f64 #s(literal 1/3 binary64) #s(literal 1/3 binary64) (*.f64 (-.f64 x #s(literal -1/3 binary64)) x)) |
(fma.f64 #s(literal 1/3 binary64) x (+.f64 #s(literal 1/9 binary64) (*.f64 x x))) |
(fma.f64 #s(literal 1/3 binary64) x (fma.f64 x x #s(literal 1/9 binary64))) |
(fma.f64 x (-.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) |
(fma.f64 x #s(literal 1/3 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x x))) |
(fma.f64 x #s(literal 1/3 binary64) (fma.f64 x x #s(literal 1/9 binary64))) |
(fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
(-.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 #s(literal -1/3 binary64) x)) |
(-.f64 (/.f64 #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 (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 (-.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 #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 (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 x x) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
(+.f64 (*.f64 (-.f64 x #s(literal -1/3 binary64)) x) #s(literal 1/9 binary64)) |
(+.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 x x)) |
(+.f64 (*.f64 #s(literal 1/3 binary64) x) (+.f64 #s(literal 1/9 binary64) (*.f64 x x))) |
(+.f64 (*.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal 1/9 binary64))) |
(+.f64 #s(literal 1/9 binary64) (*.f64 (neg.f64 (neg.f64 x)) (-.f64 x #s(literal -1/3 binary64)))) |
(+.f64 #s(literal 1/9 binary64) (*.f64 (-.f64 x #s(literal -1/3 binary64)) x)) |
(*.f64 #s(literal 1/3 binary64) (-.f64 x #s(literal -1/3 binary64))) |
(/.f64 (-.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/81 binary64) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) (*.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/3 binary64) x))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal 1/9 binary64)))) (neg.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 1/3 binary64) x)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/81 binary64))) (neg.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64) #s(literal 1/729 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)) #s(literal 1/81 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64) #s(literal 1/729 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) (-.f64 #s(literal 1/81 binary64) (*.f64 #s(literal 1/27 binary64) x))))) |
(/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal 1/9 binary64))) (*.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 1/3 binary64) x))) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/81 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64) #s(literal 1/729 binary64)) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)) #s(literal 1/81 binary64))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64) #s(literal 1/729 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) (-.f64 #s(literal 1/81 binary64) (*.f64 #s(literal 1/27 binary64) x)))) |
(fma.f64 #s(literal -1/9 binary64) #s(literal -1 binary64) (*.f64 #s(literal 1/3 binary64) x)) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64) #s(literal 1/9 binary64)) |
(fma.f64 #s(literal 1/9 binary64) #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) x)) |
(fma.f64 #s(literal -1/3 binary64) #s(literal -1/3 binary64) (*.f64 #s(literal 1/3 binary64) x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) |
(fma.f64 #s(literal 1 binary64) #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)) |
(fma.f64 #s(literal 1/3 binary64) #s(literal 1/3 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) (*.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 1/3 binary64) x))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 1/3 binary64) x)))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))) (/.f64 #s(literal 1/81 binary64) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)))) |
(-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal -1/9 binary64)) |
(-.f64 #s(literal 1/9 binary64) (*.f64 (neg.f64 x) #s(literal 1/3 binary64))) |
(-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/3 binary64) x)) |
(+.f64 (/.f64 #s(literal 1/729 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)) #s(literal 1/81 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 (*.f64 #s(literal 1/3 binary64) x) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)) #s(literal 1/81 binary64)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) (-.f64 #s(literal 1/81 binary64) (*.f64 #s(literal 1/27 binary64) x)))) (/.f64 #s(literal 1/729 binary64) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) (-.f64 #s(literal 1/81 binary64) (*.f64 #s(literal 1/27 binary64) x))))) |
(+.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) |
(+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)) |
(*.f64 #s(literal -1/9 binary64) #s(literal -1 binary64)) |
(*.f64 #s(literal 1/9 binary64) #s(literal 1 binary64)) |
(*.f64 #s(literal -1/3 binary64) #s(literal -1/3 binary64)) |
(*.f64 #s(literal 1 binary64) #s(literal 1/9 binary64)) |
(*.f64 #s(literal 1/3 binary64) #s(literal 1/3 binary64)) |
(pow.f64 #s(literal 9 binary64) #s(literal -1 binary64)) |
(pow.f64 #s(literal 3 binary64) #s(literal -2 binary64)) |
(pow.f64 #s(literal 1/3 binary64) #s(literal 2 binary64)) |
(/.f64 #s(literal 2/9 binary64) #s(literal 2 binary64)) |
(/.f64 #s(literal -1 binary64) #s(literal -9 binary64)) |
(/.f64 #s(literal -1/3 binary64) #s(literal -3 binary64)) |
(/.f64 #s(literal 1 binary64) #s(literal 9 binary64)) |
(/.f64 #s(literal 1/3 binary64) #s(literal 3 binary64)) |
(neg.f64 #s(literal -1/9 binary64)) |
(fabs.f64 #s(literal 1/9 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 x x) |
#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 (* (- 1 (/ 1/3 x)) x) #s(literal -1/3 binary64)) |
#s(approx (* (- 1 (/ 1/3 x)) x) (-.f64 x #s(literal 1/3 binary64))) |
#s(approx (- 1 (/ 1/3 x)) (/.f64 #s(literal -1/3 binary64) x)) |
#s(approx (- 1 (/ 1/3 x)) (/.f64 (-.f64 x #s(literal 1/3 binary64)) x)) |
#s(approx (/ 1/3 x) (/.f64 #s(literal 1/3 binary64) x)) |
#s(approx (/ (- (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 (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 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 (-.f64 x #s(literal 1/3 binary64)) x) x)) |
#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 (-.f64 x #s(literal 1/3 binary64)) x) x)) |
#s(approx (* (- 1 (/ 1/3 x)) x) x) |
#s(approx (* (- 1 (/ 1/3 x)) x) (*.f64 (/.f64 (-.f64 x #s(literal 1/3 binary64)) x) x)) |
#s(approx (- 1 (/ 1/3 x)) #s(literal 1 binary64)) |
#s(approx (- 1 (/ 1/3 x)) (/.f64 (-.f64 x #s(literal 1/3 binary64)) x)) |
#s(approx (/ (- (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 (-.f64 x #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) (+ (* x x) (+ (* 1/3 x) 1/9))) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)))) |
#s(approx (* (- 1 (/ 1/3 x)) x) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)))) |
#s(approx (/ (- (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 7 231 to 1 459 computations (79.8% saved)
5 alts after pruning (1 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 430 | 1 | 431 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 431 | 5 | 436 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 50.1% | (/.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)))) |
| ✓ | 100.0% | (-.f64 x #s(literal 1/3 binary64)) |
| ✓ | 99.9% | #s(approx (- x (/ 1 3)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) |
| ✓ | 52.4% | #s(approx (- x (/ 1 3)) x) |
| ✓ | 49.9% | #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
Compiled 45 to 39 computations (13.3% 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 | 2865 | 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 x #s(literal 6 binary64)) (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 (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)) |
(*.f64 #s(literal -1/9 binary64) #s(literal 1/3 binary64)) |
(*.f64 #s(literal -1 binary64) #s(literal 1/27 binary64)) |
(*.f64 #s(literal -1/27 binary64) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/27 binary64) #s(literal -1 binary64)) |
(pow.f64 #s(literal -1/3 binary64) #s(literal 3 binary64)) |
(neg.f64 #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 x #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 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 x #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 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 x #s(literal 6 binary64)) (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 (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 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
(fma.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
(fma.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (neg.f64 x)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
(fma.f64 (*.f64 #s(literal 1 binary64) (fabs.f64 x)) (fabs.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
(fma.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
(fma.f64 (*.f64 #s(literal 1 binary64) x) x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
(fma.f64 #s(literal -1/9 binary64) #s(literal -1 binary64) (*.f64 (neg.f64 (neg.f64 x)) (-.f64 x #s(literal -1/3 binary64)))) |
(fma.f64 #s(literal -1/9 binary64) #s(literal -1 binary64) (*.f64 (-.f64 x #s(literal -1/3 binary64)) x)) |
(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 #s(literal 1 binary64) #s(literal 1/9 binary64) (*.f64 (neg.f64 (neg.f64 x)) (-.f64 x #s(literal -1/3 binary64)))) |
(fma.f64 #s(literal 1 binary64) #s(literal 1/9 binary64) (*.f64 (-.f64 x #s(literal -1/3 binary64)) x)) |
(fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)) |
(fma.f64 #s(literal -1/3 binary64) #s(literal -1/3 binary64) (*.f64 (neg.f64 (neg.f64 x)) (-.f64 x #s(literal -1/3 binary64)))) |
(fma.f64 #s(literal -1/3 binary64) #s(literal -1/3 binary64) (*.f64 (-.f64 x #s(literal -1/3 binary64)) x)) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x x))) |
(fma.f64 #s(literal 1/9 binary64) #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 x)) (-.f64 x #s(literal -1/3 binary64)))) |
(fma.f64 #s(literal 1/9 binary64) #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal -1/3 binary64)) 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) #s(literal 1/3 binary64) (*.f64 (neg.f64 (neg.f64 x)) (-.f64 x #s(literal -1/3 binary64)))) |
(fma.f64 #s(literal 1/3 binary64) #s(literal 1/3 binary64) (*.f64 (-.f64 x #s(literal -1/3 binary64)) 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)) |
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64))) |
(pow.f64 x #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64))) |
x |
(*.f64 #s(literal 1/3 binary64) (-.f64 x #s(literal -1/3 binary64))) |
(/.f64 (-.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/81 binary64) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) (*.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/3 binary64) x))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/81 binary64))) (neg.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal 1/9 binary64)))) (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)))) |
(/.f64 (neg.f64 (fma.f64 #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 #s(literal -1/9 binary64) #s(literal -1 binary64) (*.f64 #s(literal 1/3 binary64) x)) |
(fma.f64 #s(literal 1 binary64) #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)) |
(fma.f64 #s(literal -1/3 binary64) #s(literal -1/3 binary64) (*.f64 #s(literal 1/3 binary64) x)) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64) #s(literal 1/9 binary64)) |
(fma.f64 #s(literal 1/9 binary64) #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) x)) |
(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) #s(literal 1/3 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 (*.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)) |
(*.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) |
(*.f64 #s(literal -1/3 binary64) #s(literal -1 binary64)) |
(*.f64 #s(literal 1/3 binary64) #s(literal 1 binary64)) |
(/.f64 #s(literal 2/3 binary64) #s(literal 2 binary64)) |
(neg.f64 #s(literal -1/3 binary64)) |
(fabs.f64 #s(literal 1/3 binary64)) |
#s(literal 1/3 binary64) |
(*.f64 #s(literal -1/9 binary64) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) #s(literal 1/9 binary64)) |
(*.f64 #s(literal -1/3 binary64) #s(literal -1/3 binary64)) |
(*.f64 #s(literal 1/9 binary64) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/3 binary64) #s(literal 1/3 binary64)) |
(pow.f64 #s(literal 1/3 binary64) #s(literal 2 binary64)) |
(/.f64 #s(literal 2/9 binary64) #s(literal 2 binary64)) |
(neg.f64 #s(literal -1/9 binary64)) |
(fabs.f64 #s(literal 1/9 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 3 255 to 549 computations (83.1% saved)
4 alts after pruning (1 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 157 | 1 | 158 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 3 | 4 |
| Total | 159 | 4 | 163 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 49.6% | (/.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)))) |
| ✓ | 100.0% | (-.f64 x #s(literal 1/3 binary64)) |
| ✓ | 52.4% | #s(approx (- x (/ 1 3)) x) |
| ✓ | 49.9% | #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
Compiled 39 to 34 computations (12.8% saved)
| Inputs |
|---|
(/.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)))) |
#s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) |
#s(literal -1/27 binary64) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) |
#s(literal 1/3 binary64) |
x |
#s(literal 1/9 binary64) |
| Outputs |
|---|
#s(approx (/ (- (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 (+ (* 1/3 x) 1/9) #s(hole binary64 1/9)) |
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 (+ 1/9 (* 1/3 x)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ (- (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 | |
|---|---|---|---|---|
| 20.0ms | 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)) (+ (* 1/3 x) 1/9) 1/3 x 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)) (+ (* 1/3 x) 1/9) 1/3 x 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)) (+ (* 1/3 x) 1/9) 1/3 x 1/9) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 355 |
| 0 | 72 | 282 |
| 1 | 331 | 274 |
| 0 | 2863 | 262 |
| 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)) #s(approx (+ (* x x) (+ (* 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) #s(literal -1/27 binary64)) |
#s(literal -1/27 binary64) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) |
#s(literal 1/3 binary64) |
x |
#s(literal 1/9 binary64) |
#s(approx (/ (- (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 (+ (* 1/3 x) 1/9) #s(hole binary64 1/9)) |
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 (+ 1/9 (* 1/3 x)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ (- (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 (neg.f64 (neg.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)))) (neg.f64 (neg.f64 #s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))))) |
(/.f64 (neg.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64))) (neg.f64 #s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))) |
(/.f64 #s(approx (- (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)))) |
(neg.f64 (/.f64 (neg.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))))) |
(neg.f64 (/.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) (neg.f64 #s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))))) |
#s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) |
(*.f64 #s(literal -1/9 binary64) #s(literal 1/3 binary64)) |
(*.f64 #s(literal -1 binary64) #s(literal 1/27 binary64)) |
(*.f64 #s(literal -1/27 binary64) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/27 binary64) #s(literal -1 binary64)) |
(pow.f64 #s(literal -1/3 binary64) #s(literal 3 binary64)) |
(neg.f64 #s(literal 1/27 binary64)) |
#s(literal -1/27 binary64) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
(*.f64 #s(literal 1/3 binary64) (-.f64 x #s(literal -1/3 binary64))) |
(/.f64 (-.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1/81 binary64) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) (*.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/3 binary64) x))))) |
(/.f64 (neg.f64 (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 #s(literal -1/9 binary64) #s(literal -1 binary64) (*.f64 #s(literal 1/3 binary64) x)) |
(fma.f64 #s(literal 1 binary64) #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)) |
(fma.f64 #s(literal -1/3 binary64) #s(literal -1/3 binary64) (*.f64 #s(literal 1/3 binary64) x)) |
(fma.f64 #s(literal 1/9 binary64) #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) x)) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64) #s(literal 1/9 binary64)) |
(fma.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64)) |
(fma.f64 #s(literal 1/3 binary64) #s(literal 1/3 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 (*.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 #s(literal 1/9 binary64) (*.f64 (neg.f64 x) #s(literal 1/3 binary64))) |
(-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/3 binary64) x)) |
(-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal -1/9 binary64)) |
(+.f64 (/.f64 (*.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 #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 binary64) #s(literal 1/3 binary64)) |
(*.f64 #s(literal -1/3 binary64) #s(literal -1 binary64)) |
(*.f64 #s(literal 1/3 binary64) #s(literal 1 binary64)) |
(/.f64 #s(literal 2/3 binary64) #s(literal 2 binary64)) |
(neg.f64 #s(literal -1/3 binary64)) |
(fabs.f64 #s(literal 1/3 binary64)) |
#s(literal 1/3 binary64) |
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64))) |
(pow.f64 x #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64))) |
x |
(*.f64 #s(literal -1/9 binary64) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) #s(literal 1/9 binary64)) |
(*.f64 #s(literal -1/3 binary64) #s(literal -1/3 binary64)) |
(*.f64 #s(literal 1/9 binary64) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/3 binary64) #s(literal 1/3 binary64)) |
(pow.f64 #s(literal 1/3 binary64) #s(literal 2 binary64)) |
(/.f64 #s(literal 2/9 binary64) #s(literal 2 binary64)) |
(neg.f64 #s(literal -1/9 binary64)) |
(fabs.f64 #s(literal 1/9 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 (+ (* 1/3 x) 1/9) #s(literal 1/9 binary64)) |
#s(approx (+ (* 1/3 x) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
#s(approx x x) |
#s(approx (/ (- (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 1 943 to 317 computations (83.7% saved)
4 alts after pruning (0 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 74 | 0 | 74 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 74 | 4 | 78 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 49.6% | (/.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)))) |
| ✓ | 100.0% | (-.f64 x #s(literal 1/3 binary64)) |
| ✓ | 52.4% | #s(approx (- x (/ 1 3)) x) |
| ✓ | 49.9% | #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
Compiled 124 to 73 computations (41.1% 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 (- (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)))) |
#s(approx (- x (/ 1 3)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) |
(/.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 (-.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)))) |
| Outputs |
|---|
(-.f64 x #s(literal 1/3 binary64)) |
2 calls:
| 3.0ms | x |
| 2.0ms | (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| 100.0% | 1 | x |
Compiled 6 to 6 computations (0% saved)
| Inputs |
|---|
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
#s(approx (- x (/ 1 3)) x) |
| Outputs |
|---|
#s(approx (- x (/ 1 3)) x) |
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
#s(approx (- x (/ 1 3)) x) |
2 calls:
| 1.0ms | x |
| 1.0ms | (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 3 | (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| 98.9% | 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 | (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.9% | 1 | (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| 49.9% | 1 | x |
Compiled 6 to 6 computations (0% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 3.6863610841665176e-7 | 0.7230844297704999 |
| 37.0ms | -731563.5952644432 | -2.910292793914227e-10 |
| 8.0ms | 304× | 0 | valid |
Compiled 274 to 294 computations (-7.3% saved)
ival-sub!: 2.0ms (78.9% of total)adjust: 0.0ms (0% of total)| 1× | done |
Compiled 39 to 16 computations (59% saved)
Compiled 88 to 42 computations (52.3% saved)
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