
Time bar (total: 2.9s)
| 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)
| 487.0ms | 8 256× | 0 | valid |
ival-div: 68.0ms (48% of total)ival-add: 55.0ms (38.8% of total)exact: 7.0ms (4.9% of total)ival-true: 6.0ms (4.2% of total)ival-assert: 3.0ms (2.1% of total)adjust: 2.0ms (1.4% 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 #s(literal 1 binary64) #s(literal 3 binary64)) |
| 0 | 0 | - | 0 | - | (+.f64 x (/.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 |
| 19.0ms | 512× | 0 | valid |
Compiled 31 to 19 computations (38.7% saved)
ival-div: 4.0ms (49.1% of total)ival-add: 2.0ms (24.6% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 9 |
| 1 | 15 | 7 |
| 2 | 26 | 7 |
| 3 | 39 | 7 |
| 4 | 104 | 7 |
| 5 | 607 | 6 |
| 6 | 5496 | 6 |
| 0 | 5 | 3 |
| 0 | 8 | 3 |
| 1 | 11 | 3 |
| 2 | 14 | 3 |
| 3 | 22 | 3 |
| 4 | 48 | 3 |
| 5 | 184 | 3 |
| 6 | 1427 | 3 |
| 7 | 4378 | 3 |
| 0 | 8048 | 3 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| Outputs |
|---|
(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
(+.f64 #s(literal 1/3 binary64) x) |
Compiled 5 to 5 computations (0% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
Compiled 5 to 5 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 |
|---|
1/3 |
(+ 1/3 x) |
x |
(* x (+ 1 (* 1/3 (/ 1 x)))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | ((+ x (/ 1 3)) x (/ 1 3) 1 3) |
| 0.0ms | x | @ | inf | ((+ x (/ 1 3)) x (/ 1 3) 1 3) |
| 0.0ms | x | @ | 0 | ((+ x (/ 1 3)) x (/ 1 3) 1 3) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 8 |
| 1 | 26 | 8 |
| 2 | 70 | 8 |
| 3 | 208 | 8 |
| 4 | 1173 | 8 |
| 5 | 6388 | 8 |
| 0 | 8323 | 8 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1/3 |
(+ 1/3 x) |
x |
(* x (+ 1 (* 1/3 (/ 1 x)))) |
| Outputs |
|---|
1/3 |
#s(literal 1/3 binary64) |
(+ 1/3 x) |
(-.f64 x #s(literal -1/3 binary64)) |
x |
(* x (+ 1 (* 1/3 (/ 1 x)))) |
(-.f64 x #s(literal -1/3 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 0 | 8 | 7 |
| 1 | 26 | 7 |
| 2 | 140 | 7 |
| 0 | 1229 | 7 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 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) |
| Outputs |
|---|
(*.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 #s(literal 1/3 binary64) x)) |
(*.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 (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64)))) (fma.f64 x x (*.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (fma.f64 #s(literal 1/27 binary64) (pow.f64 (-.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)) (-.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (/.f64 (+.f64 #s(literal 1/3 binary64) x) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(*.f64 (+.f64 #s(literal 1/3 binary64) x) (/.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 x #s(literal 1/3 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64)))) (*.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64))))) (*.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal 1/3 binary64))))) (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 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) (*.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))) (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64)))) (*.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64)))) (fma.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) (*.f64 (*.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 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (-.f64 (*.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1/3 binary64) x))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64)))) (neg.f64 (neg.f64 (-.f64 x #s(literal 1/3 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1/3 binary64))) (*.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 (-.f64 x #s(literal 1/3 binary64)) (-.f64 x #s(literal 1/3 binary64)))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (*.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 1/27 binary64))) (*.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))) |
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 #s(literal 1/3 binary64) x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (*.f64 (fma.f64 #s(literal 1/9 binary64) (fma.f64 x x #s(literal 1/9 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x #s(literal 1/3 binary64)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (*.f64 (-.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 #s(literal 1/19683 binary64) (pow.f64 x #s(literal 9 binary64))) (*.f64 (fma.f64 #s(literal 1/27 binary64) (-.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (neg.f64 (-.f64 x #s(literal 1/3 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))) |
(/.f64 (-.f64 (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))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 x #s(literal 1/3 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (-.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)))) |
(neg.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (neg.f64 (-.f64 x #s(literal 1/3 binary64))))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))) |
(fma.f64 (/.f64 #s(literal 1/27 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64)))) (fma.f64 x x (*.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 1/3 binary64) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(fma.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 #s(literal 1/27 binary64) (pow.f64 (-.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)) (-.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(fma.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 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64)))) |
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x x #s(literal -1/9 binary64))) (+.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64)))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)) #s(literal 2 binary64)))) (fma.f64 x x (*.f64 #s(literal -1/3 binary64) (-.f64 #s(literal 1/3 binary64) x))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/27 binary64) (pow.f64 (-.f64 #s(literal 1/3 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)) (-.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(fma.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 3/2 binary64)) (/.f64 (pow.f64 #s(literal 1/3 binary64) #s(literal 3/2 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64)))) |
(fma.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64)))) |
(fma.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/3 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(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)))) |
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1/3 binary64) x))) |
(-.f64 (*.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 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(+.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64)))) (/.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)) |
x |
#s(literal 1/3 binary64) |
#s(literal 1 binary64) |
#s(literal 3 binary64) |
Compiled 1 093 to 184 computations (83.2% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 51 | 5 | 56 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 52 | 5 | 57 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 75.7% | (fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
| ▶ | 77.4% | (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))) |
| ▶ | 77.3% | (/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64)))) (*.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64))))) (*.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal 1/3 binary64))))) (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))))) |
| ▶ | 100.0% | (+.f64 x #s(literal 1/3 binary64)) |
| ▶ | 50.4% | #s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64)) |
Compiled 156 to 76 computations (51.3% 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)) |
(/.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)) |
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(*.f64 x x) |
(/.f64 x (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) |
(fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) |
#s(literal 1/9 binary64) |
(/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) |
#s(literal 1/27 binary64) |
(/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64)))) (*.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64))))) (*.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal 1/3 binary64))))) (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 (*.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64)))) (*.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64))))) (*.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal 1/3 binary64))))) |
(*.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64)))) (*.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64))))) |
(*.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64)))) |
(/.f64 x (-.f64 x #s(literal 1/3 binary64))) |
(*.f64 (/.f64 #s(literal 1/9 binary64) (-.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) (-.f64 x #s(literal 1/3 binary64))) |
(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)))) |
| Outputs |
|---|
1/3 |
(+ 1/3 x) |
x |
-1/9 |
(- (pow x 2) 1/9) |
-1/3 |
(- x 1/3) |
(pow x 2) |
(* 9 x) |
(* x (+ 9 (* 27 x))) |
(* x (+ 9 (* x (+ 27 (* -243 (pow x 2)))))) |
(* x (+ 9 (* x (+ 27 (* (pow x 2) (- (* -729 x) 243)))))) |
1/9 |
(+ 1/9 (* -1/3 x)) |
(+ 1/9 (* x (- x 1/3))) |
(+ 1/3 (* x (+ 1 (* -9 (pow x 2))))) |
(+ 1/3 (* x (+ 1 (* (pow x 2) (- (* -27 x) 9))))) |
(- (* -2/3 x) 1/9) |
(- (* x (- (* -3 x) 2/3)) 1/9) |
(- (* x (- (* x (- (* -12 x) 3)) 2/3)) 1/9) |
(* 9 (pow x 4)) |
(* (pow x 4) (+ 9 (* 54 x))) |
(* (pow x 4) (+ 9 (* x (+ 54 (* 243 x))))) |
(* (pow x 4) (+ 9 (* x (+ 54 (* x (+ 243 (* 972 x))))))) |
(* -3 (pow x 2)) |
(* (pow x 2) (- (* -9 x) 3)) |
(* (pow x 2) (- (* x (- (* -27 x) 9)) 3)) |
(* (pow x 2) (- (* x (- (* x (- (* -81 x) 27)) 9)) 3)) |
(* -3 x) |
(* x (- (* -9 x) 3)) |
(* x (- (* x (- (* -27 x) 9)) 3)) |
(* x (- (* x (- (* x (- (* -81 x) 27)) 9)) 3)) |
(+ 1/9 (* 2/3 x)) |
(+ 1/9 (* x (+ 2/3 (* 3 x)))) |
(+ 1/9 (* x (+ 2/3 (* x (+ 3 (* 12 x)))))) |
(- (* -1 x) 1/3) |
(- (* x (- (* -3 x) 1)) 1/3) |
(- (* x (- (* x (- (* -9 x) 3)) 1)) 1/3) |
(- (* x (- (* -6 x) 1)) 1/3) |
(- (* x (- (* x (- (* -18 x) 6)) 1)) 1/3) |
(* x (+ 1 (* 1/3 (/ 1 x)))) |
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2))))) |
(* x (- 1 (* 1/3 (/ 1 x)))) |
(/ 1 x) |
(/ (+ 1 (* 1/3 (/ 1 x))) x) |
(/ (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/27 (pow x 3))) x) |
(/ (+ 1 (+ (* -1 (/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 3))) (* 1/3 (/ 1 x)))) x) |
(* (pow x 2) (- 1 (* 1/3 (/ 1 x)))) |
(* (pow x 2) (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x)))) |
(/ 1/27 (pow x 2)) |
(/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 2)) |
(/ (- (+ 1/27 (* 1/81 (/ 1 x))) (/ 1/729 (pow x 3))) (pow x 2)) |
(/ (+ 1/27 (+ (* -1 (/ (+ 1/729 (* 1/2187 (/ 1 x))) (pow x 3))) (* 1/81 (/ 1 x)))) (pow x 2)) |
(* (pow x 2) (+ 1 (* 2/3 (/ 1 x)))) |
(* (pow x 2) (+ 1 (+ (/ 1/3 (pow x 2)) (* 2/3 (/ 1 x))))) |
(* (pow x 2) (+ 1 (+ (/ 1/3 (pow x 2)) (+ (* 2/3 (/ 1 x)) (* 4/27 (/ 1 (pow x 3))))))) |
(* x (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))) |
(* x (+ 1 (+ (/ 1/9 (pow x 2)) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))))) |
1 |
(+ 1 (* 1/3 (/ 1 x))) |
(+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))) |
(+ 1 (+ (/ 1/9 (pow x 2)) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3)))))) |
(/ 1/81 (pow x 2)) |
(/ (+ 1/81 (* 2/243 (/ 1 x))) (pow x 2)) |
(/ (+ 1/81 (+ (/ 1/243 (pow x 2)) (* 2/243 (/ 1 x)))) (pow x 2)) |
(/ (+ 1/81 (+ (/ 1/243 (pow x 2)) (+ (* 2/243 (/ 1 x)) (* 4/2187 (/ 1 (pow x 3)))))) (pow x 2)) |
(/ 1/9 x) |
(/ (+ 1/9 (* 1/27 (/ 1 x))) x) |
(/ (+ 1/9 (+ (/ 1/81 (pow x 2)) (* 1/27 (/ 1 x)))) x) |
(/ (+ 1/9 (+ (/ 1/81 (pow x 2)) (+ (* 1/27 (/ 1 x)) (* 1/243 (/ 1 (pow x 3)))))) x) |
(* x (+ 1 (+ (/ 2/9 (pow x 2)) (* 1/3 (/ 1 x))))) |
(* x (+ 1 (+ (/ 2/9 (pow x 2)) (+ (* 1/3 (/ 1 x)) (* 2/27 (/ 1 (pow x 3))))))) |
(* -1 (* x (- (* 1/3 (/ 1 x)) 1))) |
(* -1 (/ (- (* -1 (/ (- 1/3 (* 1/27 (/ 1 (pow x 2)))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 2)))) x)) 1) x)) |
(* (pow x 2) (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)))) |
(/ (+ 1/27 (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x))) (pow x 2)) |
(/ (+ 1/27 (* -1 (/ (- (+ (/ 1/2187 (pow x 3)) (* 1/729 (/ 1 (pow x 2)))) 1/81) x))) (pow x 2)) |
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/3 (* 4/27 (/ 1 x))) x)) 2/3) x)))) |
(* -1 (* x (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ 1/3 (+ (/ 1/27 (pow x 2)) (* 1/9 (/ 1 x)))) x)) 1))) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x)) 1/3) x))) |
(/ (+ 1/81 (* -1 (/ (- (* -1 (/ (+ 1/243 (* 4/2187 (/ 1 x))) x)) 2/243) x))) (pow x 2)) |
(* -1 (/ (- (* -1 (/ (+ 1/27 (* 1/81 (/ 1 x))) x)) 1/9) x)) |
(* -1 (/ (- (* -1 (/ (+ 1/27 (+ (/ 1/243 (pow x 2)) (* 1/81 (/ 1 x)))) x)) 1/9) x)) |
(* -1 (* x (- (* -1 (/ (+ 1/3 (* 2/9 (/ 1 x))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ 1/3 (+ (/ 2/27 (pow x 2)) (* 2/9 (/ 1 x)))) x)) 1))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | x | @ | inf | ((+ x 1/3) x 1/3 (+ x (/ 1 3)) (/ (+ (* x x) -1/9) (- x 1/3)) (+ (* x x) -1/9) -1/9 (- x 1/3) (+ (* (* x x) (/ x (+ (* x (- x 1/3)) 1/9))) (/ 1/27 (+ (* x (- x 1/3)) 1/9))) (* x x) (/ x (+ (* x (- x 1/3)) 1/9)) (+ (* x (- x 1/3)) 1/9) 1/9 (/ 1/27 (+ (* x (- x 1/3)) 1/9)) 1/27 (/ (- (* (* x (/ x (- x 1/3))) (* x (/ x (- x 1/3)))) (* (/ 1/9 (- x 1/3)) (/ 1/9 (- x 1/3)))) (+ (* x (/ x (- x 1/3))) (/ 1/9 (- x 1/3)))) (- (* (* x (/ x (- x 1/3))) (* x (/ x (- x 1/3)))) (* (/ 1/9 (- x 1/3)) (/ 1/9 (- x 1/3)))) (* (* x (/ x (- x 1/3))) (* x (/ x (- x 1/3)))) (* x (/ x (- x 1/3))) (/ x (- x 1/3)) (* (/ 1/9 (- x 1/3)) (/ 1/9 (- x 1/3))) (/ 1/9 (- x 1/3)) (+ (* x (/ x (- x 1/3))) (/ 1/9 (- x 1/3)))) |
| 6.0ms | x | @ | -inf | ((+ x 1/3) x 1/3 (+ x (/ 1 3)) (/ (+ (* x x) -1/9) (- x 1/3)) (+ (* x x) -1/9) -1/9 (- x 1/3) (+ (* (* x x) (/ x (+ (* x (- x 1/3)) 1/9))) (/ 1/27 (+ (* x (- x 1/3)) 1/9))) (* x x) (/ x (+ (* x (- x 1/3)) 1/9)) (+ (* x (- x 1/3)) 1/9) 1/9 (/ 1/27 (+ (* x (- x 1/3)) 1/9)) 1/27 (/ (- (* (* x (/ x (- x 1/3))) (* x (/ x (- x 1/3)))) (* (/ 1/9 (- x 1/3)) (/ 1/9 (- x 1/3)))) (+ (* x (/ x (- x 1/3))) (/ 1/9 (- x 1/3)))) (- (* (* x (/ x (- x 1/3))) (* x (/ x (- x 1/3)))) (* (/ 1/9 (- x 1/3)) (/ 1/9 (- x 1/3)))) (* (* x (/ x (- x 1/3))) (* x (/ x (- x 1/3)))) (* x (/ x (- x 1/3))) (/ x (- x 1/3)) (* (/ 1/9 (- x 1/3)) (/ 1/9 (- x 1/3))) (/ 1/9 (- x 1/3)) (+ (* x (/ x (- x 1/3))) (/ 1/9 (- x 1/3)))) |
| 4.0ms | x | @ | 0 | ((+ x 1/3) x 1/3 (+ x (/ 1 3)) (/ (+ (* x x) -1/9) (- x 1/3)) (+ (* x x) -1/9) -1/9 (- x 1/3) (+ (* (* x x) (/ x (+ (* x (- x 1/3)) 1/9))) (/ 1/27 (+ (* x (- x 1/3)) 1/9))) (* x x) (/ x (+ (* x (- x 1/3)) 1/9)) (+ (* x (- x 1/3)) 1/9) 1/9 (/ 1/27 (+ (* x (- x 1/3)) 1/9)) 1/27 (/ (- (* (* x (/ x (- x 1/3))) (* x (/ x (- x 1/3)))) (* (/ 1/9 (- x 1/3)) (/ 1/9 (- x 1/3)))) (+ (* x (/ x (- x 1/3))) (/ 1/9 (- x 1/3)))) (- (* (* x (/ x (- x 1/3))) (* x (/ x (- x 1/3)))) (* (/ 1/9 (- x 1/3)) (/ 1/9 (- x 1/3)))) (* (* x (/ x (- x 1/3))) (* x (/ x (- x 1/3)))) (* x (/ x (- x 1/3))) (/ x (- x 1/3)) (* (/ 1/9 (- x 1/3)) (/ 1/9 (- x 1/3))) (/ 1/9 (- x 1/3)) (+ (* x (/ x (- x 1/3))) (/ 1/9 (- x 1/3)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 341 | 945 |
| 1 | 1057 | 906 |
| 2 | 3401 | 868 |
| 0 | 8432 | 817 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1/3 |
(+ 1/3 x) |
x |
-1/9 |
(- (pow x 2) 1/9) |
-1/3 |
(- x 1/3) |
(pow x 2) |
(* 9 x) |
(* x (+ 9 (* 27 x))) |
(* x (+ 9 (* x (+ 27 (* -243 (pow x 2)))))) |
(* x (+ 9 (* x (+ 27 (* (pow x 2) (- (* -729 x) 243)))))) |
1/9 |
(+ 1/9 (* -1/3 x)) |
(+ 1/9 (* x (- x 1/3))) |
(+ 1/3 (* x (+ 1 (* -9 (pow x 2))))) |
(+ 1/3 (* x (+ 1 (* (pow x 2) (- (* -27 x) 9))))) |
(- (* -2/3 x) 1/9) |
(- (* x (- (* -3 x) 2/3)) 1/9) |
(- (* x (- (* x (- (* -12 x) 3)) 2/3)) 1/9) |
(* 9 (pow x 4)) |
(* (pow x 4) (+ 9 (* 54 x))) |
(* (pow x 4) (+ 9 (* x (+ 54 (* 243 x))))) |
(* (pow x 4) (+ 9 (* x (+ 54 (* x (+ 243 (* 972 x))))))) |
(* -3 (pow x 2)) |
(* (pow x 2) (- (* -9 x) 3)) |
(* (pow x 2) (- (* x (- (* -27 x) 9)) 3)) |
(* (pow x 2) (- (* x (- (* x (- (* -81 x) 27)) 9)) 3)) |
(* -3 x) |
(* x (- (* -9 x) 3)) |
(* x (- (* x (- (* -27 x) 9)) 3)) |
(* x (- (* x (- (* x (- (* -81 x) 27)) 9)) 3)) |
(+ 1/9 (* 2/3 x)) |
(+ 1/9 (* x (+ 2/3 (* 3 x)))) |
(+ 1/9 (* x (+ 2/3 (* x (+ 3 (* 12 x)))))) |
(- (* -1 x) 1/3) |
(- (* x (- (* -3 x) 1)) 1/3) |
(- (* x (- (* x (- (* -9 x) 3)) 1)) 1/3) |
(- (* x (- (* -6 x) 1)) 1/3) |
(- (* x (- (* x (- (* -18 x) 6)) 1)) 1/3) |
(* x (+ 1 (* 1/3 (/ 1 x)))) |
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2))))) |
(* x (- 1 (* 1/3 (/ 1 x)))) |
(/ 1 x) |
(/ (+ 1 (* 1/3 (/ 1 x))) x) |
(/ (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/27 (pow x 3))) x) |
(/ (+ 1 (+ (* -1 (/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 3))) (* 1/3 (/ 1 x)))) x) |
(* (pow x 2) (- 1 (* 1/3 (/ 1 x)))) |
(* (pow x 2) (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x)))) |
(/ 1/27 (pow x 2)) |
(/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 2)) |
(/ (- (+ 1/27 (* 1/81 (/ 1 x))) (/ 1/729 (pow x 3))) (pow x 2)) |
(/ (+ 1/27 (+ (* -1 (/ (+ 1/729 (* 1/2187 (/ 1 x))) (pow x 3))) (* 1/81 (/ 1 x)))) (pow x 2)) |
(* (pow x 2) (+ 1 (* 2/3 (/ 1 x)))) |
(* (pow x 2) (+ 1 (+ (/ 1/3 (pow x 2)) (* 2/3 (/ 1 x))))) |
(* (pow x 2) (+ 1 (+ (/ 1/3 (pow x 2)) (+ (* 2/3 (/ 1 x)) (* 4/27 (/ 1 (pow x 3))))))) |
(* x (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))) |
(* x (+ 1 (+ (/ 1/9 (pow x 2)) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))))) |
1 |
(+ 1 (* 1/3 (/ 1 x))) |
(+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))) |
(+ 1 (+ (/ 1/9 (pow x 2)) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3)))))) |
(/ 1/81 (pow x 2)) |
(/ (+ 1/81 (* 2/243 (/ 1 x))) (pow x 2)) |
(/ (+ 1/81 (+ (/ 1/243 (pow x 2)) (* 2/243 (/ 1 x)))) (pow x 2)) |
(/ (+ 1/81 (+ (/ 1/243 (pow x 2)) (+ (* 2/243 (/ 1 x)) (* 4/2187 (/ 1 (pow x 3)))))) (pow x 2)) |
(/ 1/9 x) |
(/ (+ 1/9 (* 1/27 (/ 1 x))) x) |
(/ (+ 1/9 (+ (/ 1/81 (pow x 2)) (* 1/27 (/ 1 x)))) x) |
(/ (+ 1/9 (+ (/ 1/81 (pow x 2)) (+ (* 1/27 (/ 1 x)) (* 1/243 (/ 1 (pow x 3)))))) x) |
(* x (+ 1 (+ (/ 2/9 (pow x 2)) (* 1/3 (/ 1 x))))) |
(* x (+ 1 (+ (/ 2/9 (pow x 2)) (+ (* 1/3 (/ 1 x)) (* 2/27 (/ 1 (pow x 3))))))) |
(* -1 (* x (- (* 1/3 (/ 1 x)) 1))) |
(* -1 (/ (- (* -1 (/ (- 1/3 (* 1/27 (/ 1 (pow x 2)))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 2)))) x)) 1) x)) |
(* (pow x 2) (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)))) |
(/ (+ 1/27 (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x))) (pow x 2)) |
(/ (+ 1/27 (* -1 (/ (- (+ (/ 1/2187 (pow x 3)) (* 1/729 (/ 1 (pow x 2)))) 1/81) x))) (pow x 2)) |
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/3 (* 4/27 (/ 1 x))) x)) 2/3) x)))) |
(* -1 (* x (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ 1/3 (+ (/ 1/27 (pow x 2)) (* 1/9 (/ 1 x)))) x)) 1))) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x)) 1/3) x))) |
(/ (+ 1/81 (* -1 (/ (- (* -1 (/ (+ 1/243 (* 4/2187 (/ 1 x))) x)) 2/243) x))) (pow x 2)) |
(* -1 (/ (- (* -1 (/ (+ 1/27 (* 1/81 (/ 1 x))) x)) 1/9) x)) |
(* -1 (/ (- (* -1 (/ (+ 1/27 (+ (/ 1/243 (pow x 2)) (* 1/81 (/ 1 x)))) x)) 1/9) x)) |
(* -1 (* x (- (* -1 (/ (+ 1/3 (* 2/9 (/ 1 x))) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ 1/3 (+ (/ 2/27 (pow x 2)) (* 2/9 (/ 1 x)))) x)) 1))) |
| Outputs |
|---|
1/3 |
#s(literal 1/3 binary64) |
(+ 1/3 x) |
(-.f64 x #s(literal -1/3 binary64)) |
x |
-1/9 |
#s(literal -1/9 binary64) |
(- (pow x 2) 1/9) |
(fma.f64 x x #s(literal -1/9 binary64)) |
-1/3 |
#s(literal -1/3 binary64) |
(- x 1/3) |
(-.f64 x #s(literal 1/3 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* 9 x) |
(*.f64 #s(literal 9 binary64) x) |
(* x (+ 9 (* 27 x))) |
(*.f64 (fma.f64 #s(literal 27 binary64) x #s(literal 9 binary64)) x) |
(* x (+ 9 (* x (+ 27 (* -243 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -243 binary64) (*.f64 x x) #s(literal 27 binary64)) x #s(literal 9 binary64)) x) |
(* x (+ 9 (* x (+ 27 (* (pow x 2) (- (* -729 x) 243)))))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -729 binary64) x) #s(literal 243 binary64)) (*.f64 x x) #s(literal 27 binary64)) x #s(literal 9 binary64)) x) |
1/9 |
#s(literal 1/9 binary64) |
(+ 1/9 (* -1/3 x)) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) |
(+ 1/9 (* x (- x 1/3))) |
(fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)) |
(+ 1/3 (* x (+ 1 (* -9 (pow x 2))))) |
(-.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -9 binary64) x) #s(literal -1/3 binary64)) |
(+ 1/3 (* x (+ 1 (* (pow x 2) (- (* -27 x) 9))))) |
(-.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -27 binary64) x) #s(literal 9 binary64)) x) #s(literal -1/3 binary64)) |
(- (* -2/3 x) 1/9) |
(fma.f64 #s(literal -2/3 binary64) x #s(literal -1/9 binary64)) |
(- (* x (- (* -3 x) 2/3)) 1/9) |
(fma.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -2/3 binary64)) x #s(literal -1/9 binary64)) |
(- (* x (- (* x (- (* -12 x) 3)) 2/3)) 1/9) |
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -12 binary64) x) #s(literal 3 binary64)) x #s(literal -2/3 binary64)) x #s(literal -1/9 binary64)) |
(* 9 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) |
(* (pow x 4) (+ 9 (* 54 x))) |
(*.f64 (fma.f64 #s(literal 54 binary64) x #s(literal 9 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 9 (* x (+ 54 (* 243 x))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 243 binary64) x #s(literal 54 binary64)) x #s(literal 9 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (+ 9 (* x (+ 54 (* x (+ 243 (* 972 x))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 972 binary64) x #s(literal 243 binary64)) x #s(literal 54 binary64)) x #s(literal 9 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* -3 (pow x 2)) |
(*.f64 (*.f64 #s(literal -3 binary64) x) x) |
(* (pow x 2) (- (* -9 x) 3)) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -9 binary64) x) #s(literal 3 binary64)) x) x) |
(* (pow x 2) (- (* x (- (* -27 x) 9)) 3)) |
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -27 binary64) x) #s(literal 9 binary64)) x) #s(literal 3 binary64)) (*.f64 x x)) |
(* (pow x 2) (- (* x (- (* x (- (* -81 x) 27)) 9)) 3)) |
(*.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -81 binary64) x) #s(literal 27 binary64)) x) #s(literal 9 binary64)) x) #s(literal 3 binary64)) x) x) |
(* -3 x) |
(*.f64 #s(literal -3 binary64) x) |
(* x (- (* -9 x) 3)) |
(*.f64 (-.f64 (*.f64 #s(literal -9 binary64) x) #s(literal 3 binary64)) x) |
(* x (- (* x (- (* -27 x) 9)) 3)) |
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -27 binary64) x) #s(literal 9 binary64)) x) #s(literal 3 binary64)) x) |
(* x (- (* x (- (* x (- (* -81 x) 27)) 9)) 3)) |
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -81 binary64) x) #s(literal 27 binary64)) x) #s(literal 9 binary64)) x) #s(literal 3 binary64)) x) |
(+ 1/9 (* 2/3 x)) |
(fma.f64 #s(literal 2/3 binary64) x #s(literal 1/9 binary64)) |
(+ 1/9 (* x (+ 2/3 (* 3 x)))) |
(fma.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 2/3 binary64)) x #s(literal 1/9 binary64)) |
(+ 1/9 (* x (+ 2/3 (* x (+ 3 (* 12 x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 12 binary64) x #s(literal 3 binary64)) x #s(literal 2/3 binary64)) x #s(literal 1/9 binary64)) |
(- (* -1 x) 1/3) |
(fma.f64 #s(literal -1 binary64) x #s(literal -1/3 binary64)) |
(- (* x (- (* -3 x) 1)) 1/3) |
(fma.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) x #s(literal -1/3 binary64)) |
(- (* x (- (* x (- (* -9 x) 3)) 1)) 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)) |
(- (* x (- (* -6 x) 1)) 1/3) |
(fma.f64 (fma.f64 #s(literal -6 binary64) x #s(literal -1 binary64)) x #s(literal -1/3 binary64)) |
(- (* x (- (* x (- (* -18 x) 6)) 1)) 1/3) |
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -18 binary64) x) #s(literal 6 binary64)) x #s(literal -1 binary64)) x #s(literal -1/3 binary64)) |
(* x (+ 1 (* 1/3 (/ 1 x)))) |
(fma.f64 (/.f64 #s(literal 1/3 binary64) x) x x) |
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (/.f64 (/.f64 #s(literal -1/9 binary64) x) x) x)) |
(* x (- 1 (* 1/3 (/ 1 x)))) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) x) x x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* 1/3 (/ 1 x))) x) |
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) x) |
(/ (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/27 (pow x 3))) x) |
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) x) (/.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(/ (+ 1 (+ (* -1 (/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 3))) (* 1/3 (/ 1 x)))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/81 binary64) x) #s(literal 1/27 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64))) x) |
(* (pow x 2) (- 1 (* 1/3 (/ 1 x)))) |
(*.f64 (fma.f64 (/.f64 #s(literal -1/3 binary64) x) x x) x) |
(* (pow x 2) (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x)))) |
(*.f64 x (fma.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64)) x) x)) |
(/ 1/27 (pow x 2)) |
(/.f64 #s(literal 1/27 binary64) (*.f64 x x)) |
(/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal -1/27 binary64)) x) x) |
(/ (- (+ 1/27 (* 1/81 (/ 1 x))) (/ 1/729 (pow x 3))) (pow x 2)) |
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal -1/27 binary64)) (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) |
(/ (+ 1/27 (+ (* -1 (/ (+ 1/729 (* 1/2187 (/ 1 x))) (pow x 3))) (* 1/81 (/ 1 x)))) (pow x 2)) |
(/.f64 (-.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2187 binary64) x) #s(literal -1/729 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/81 binary64) x)) #s(literal -1/27 binary64)) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* 2/3 (/ 1 x)))) |
(*.f64 x (fma.f64 x (/.f64 #s(literal 2/3 binary64) x) x)) |
(* (pow x 2) (+ 1 (+ (/ 1/3 (pow x 2)) (* 2/3 (/ 1 x))))) |
(*.f64 x (fma.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 2/3 binary64)) x) x)) |
(* (pow x 2) (+ 1 (+ (/ 1/3 (pow x 2)) (+ (* 2/3 (/ 1 x)) (* 4/27 (/ 1 (pow x 3))))))) |
(*.f64 x (fma.f64 x (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4/27 binary64) x) #s(literal -1/3 binary64)) x) #s(literal 2/3 binary64)) x) x)) |
(* x (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))) |
(fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64)) x) x x) |
(* x (+ 1 (+ (/ 1/9 (pow x 2)) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))))) |
(fma.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal -1/9 binary64)) x) #s(literal -1/3 binary64)) x) x x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/3 (/ 1 x))) |
(+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64)) |
(+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))) |
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64)) x) #s(literal 1 binary64)) |
(+ 1 (+ (/ 1/9 (pow x 2)) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3)))))) |
(+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal -1/9 binary64)) x) #s(literal -1/3 binary64)) x) #s(literal 1 binary64)) |
(/ 1/81 (pow x 2)) |
(/.f64 (/.f64 #s(literal 1/81 binary64) x) x) |
(/ (+ 1/81 (* 2/243 (/ 1 x))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 2/243 binary64) x) #s(literal -1/81 binary64)) x) x) |
(/ (+ 1/81 (+ (/ 1/243 (pow x 2)) (* 2/243 (/ 1 x)))) (pow x 2)) |
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/243 binary64) x) #s(literal 2/243 binary64)) x) #s(literal -1/81 binary64)) (*.f64 x x)) |
(/ (+ 1/81 (+ (/ 1/243 (pow x 2)) (+ (* 2/243 (/ 1 x)) (* 4/2187 (/ 1 (pow x 3)))))) (pow x 2)) |
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4/2187 binary64) x) #s(literal -1/243 binary64)) x) #s(literal 2/243 binary64)) x) #s(literal -1/81 binary64)) (*.f64 x x)) |
(/ 1/9 x) |
(/.f64 #s(literal 1/9 binary64) x) |
(/ (+ 1/9 (* 1/27 (/ 1 x))) x) |
(/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal -1/9 binary64)) x) |
(/ (+ 1/9 (+ (/ 1/81 (pow x 2)) (* 1/27 (/ 1 x)))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal -1/27 binary64)) x) #s(literal -1/9 binary64)) x) |
(/ (+ 1/9 (+ (/ 1/81 (pow x 2)) (+ (* 1/27 (/ 1 x)) (* 1/243 (/ 1 (pow x 3)))))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/243 binary64) x) #s(literal 1/81 binary64)) x) #s(literal -1/27 binary64)) x) #s(literal -1/9 binary64)) x) |
(* x (+ 1 (+ (/ 2/9 (pow x 2)) (* 1/3 (/ 1 x))))) |
(fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 2/9 binary64) x) #s(literal -1/3 binary64)) x) x x) |
(* x (+ 1 (+ (/ 2/9 (pow x 2)) (+ (* 1/3 (/ 1 x)) (* 2/27 (/ 1 (pow x 3))))))) |
(fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 2/27 binary64) x) #s(literal 2/9 binary64)) x) #s(literal -1/3 binary64)) x) x x) |
(* -1 (* x (- (* 1/3 (/ 1 x)) 1))) |
(fma.f64 (/.f64 #s(literal -1/3 binary64) x) x x) |
(* -1 (/ (- (* -1 (/ (- 1/3 (* 1/27 (/ 1 (pow x 2)))) x)) 1) x)) |
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 x x)) #s(literal -1/3 binary64)) x) #s(literal 1 binary64)) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 2)))) x)) 1) x)) |
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal -1/81 binary64) x) #s(literal 1/27 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) (neg.f64 x)) |
(* (pow x 2) (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)))) |
(*.f64 x (fma.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1/3 binary64)) x) x)) |
(/ (+ 1/27 (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 1/27 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/729 binary64) (*.f64 x x)) #s(literal 1/81 binary64)) x)) x) x) |
(/ (+ 1/27 (* -1 (/ (- (+ (/ 1/2187 (pow x 3)) (* 1/729 (/ 1 (pow x 2)))) 1/81) x))) (pow x 2)) |
(/.f64 (-.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2187 binary64) x) #s(literal -1/729 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/81 binary64) x)) #s(literal -1/27 binary64)) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (+ 1/3 (* 4/27 (/ 1 x))) x)) 2/3) x)))) |
(*.f64 x (fma.f64 x (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4/27 binary64) x) #s(literal -1/3 binary64)) x) #s(literal 2/3 binary64)) x) x)) |
(* -1 (* x (- (* -1 (/ (+ 1/3 (* 1/9 (/ 1 x))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1/3 binary64)) x) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ 1/3 (+ (/ 1/27 (pow x 2)) (* 1/9 (/ 1 x)))) x)) 1))) |
(fma.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal -1/9 binary64)) x) #s(literal -1/3 binary64)) x) x x) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1/9 (* 1/27 (/ 1 x))) x)) 1/3) x))) |
(+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) x) #s(literal -1/9 binary64)) x) #s(literal -1/3 binary64)) x) #s(literal 1 binary64)) |
(/ (+ 1/81 (* -1 (/ (- (* -1 (/ (+ 1/243 (* 4/2187 (/ 1 x))) x)) 2/243) x))) (pow x 2)) |
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4/2187 binary64) x) #s(literal -1/243 binary64)) x) #s(literal 2/243 binary64)) x) #s(literal -1/81 binary64)) (*.f64 x x)) |
(* -1 (/ (- (* -1 (/ (+ 1/27 (* 1/81 (/ 1 x))) x)) 1/9) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal -1/27 binary64)) x) #s(literal -1/9 binary64)) x) |
(* -1 (/ (- (* -1 (/ (+ 1/27 (+ (/ 1/243 (pow x 2)) (* 1/81 (/ 1 x)))) x)) 1/9) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/243 binary64) x) #s(literal 1/81 binary64)) x) #s(literal -1/27 binary64)) x) #s(literal -1/9 binary64)) x) |
(* -1 (* x (- (* -1 (/ (+ 1/3 (* 2/9 (/ 1 x))) x)) 1))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -2/9 binary64) x) #s(literal 1/3 binary64)) x) #s(literal 1 binary64))) |
(* -1 (* x (- (* -1 (/ (+ 1/3 (+ (/ 2/27 (pow x 2)) (* 2/9 (/ 1 x)))) x)) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 2/27 binary64) x) #s(literal 2/9 binary64)) x) #s(literal -1/3 binary64)) x) #s(literal -1 binary64) #s(literal -1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 195 |
| 0 | 45 | 133 |
| 1 | 187 | 118 |
| 0 | 1637 | 116 |
| 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)) |
(/.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)) |
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(*.f64 x x) |
(/.f64 x (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) |
(fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) |
#s(literal 1/9 binary64) |
(/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) |
#s(literal 1/27 binary64) |
(/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64)))) (*.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64))))) (*.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal 1/3 binary64))))) (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 (*.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64)))) (*.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64))))) (*.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal 1/3 binary64))))) |
(*.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64)))) (*.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64))))) |
(*.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64)))) |
(/.f64 x (-.f64 x #s(literal 1/3 binary64))) |
(*.f64 (/.f64 #s(literal 1/9 binary64) (-.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) (-.f64 x #s(literal 1/3 binary64))) |
(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)))) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.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 x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) |
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) x) (/.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 3 binary64)) (pow.f64 (*.f64 (/.f64 x (-.f64 x #s(literal 1/3 binary64))) x) #s(literal 3 binary64)))) (fma.f64 (/.f64 #s(literal 1/9 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)) (pow.f64 (*.f64 (/.f64 x (-.f64 x #s(literal 1/3 binary64))) x) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) x) (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))) (*.f64 (+.f64 #s(literal 1/3 binary64) x) (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))))) (+.f64 #s(literal 1/3 binary64) x)) |
(*.f64 (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))) (/.f64 (+.f64 #s(literal 1/3 binary64) x) (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 x #s(literal 1/3 binary64))) x) #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 (/.f64 x (-.f64 x #s(literal 1/3 binary64))) x) #s(literal 2 binary64)) (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))))) (*.f64 (/.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 (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 (pow.f64 (*.f64 (/.f64 x (-.f64 x #s(literal 1/3 binary64))) x) #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 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 #s(literal 1/3 binary64) x)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 x #s(literal 1/3 binary64))) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 x #s(literal 1/3 binary64))) x) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)) (pow.f64 (-.f64 x #s(literal 1/3 binary64)) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 x #s(literal 1/3 binary64))) x) #s(literal 2 binary64)) (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.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)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 x #s(literal 1/3 binary64))) x) #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 (/.f64 x (-.f64 x #s(literal 1/3 binary64))) x) #s(literal 2 binary64)) (/.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))) (fma.f64 (/.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 (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 (pow.f64 (*.f64 (/.f64 x (-.f64 x #s(literal 1/3 binary64))) x) #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 (pow.f64 (*.f64 (/.f64 x (-.f64 x #s(literal 1/3 binary64))) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 x #s(literal 1/3 binary64))) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) (-.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 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x))))) |
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (neg.f64 (-.f64 x #s(literal 1/3 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64)))) (neg.f64 (neg.f64 (-.f64 x #s(literal 1/3 binary64))))) |
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(fma.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 #s(literal 1/9 binary64) (-.f64 x #s(literal 1/3 binary64)))) |
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal 1/3 binary64)))) |
(fma.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal 1/3 binary64)))) |
(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)))) |
(fma.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/3 binary64) (-.f64 x #s(literal 1/3 binary64))) (*.f64 (/.f64 x (-.f64 x #s(literal 1/3 binary64))) x)) |
(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 (*.f64 (/.f64 x (-.f64 x #s(literal 1/3 binary64))) x) #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) x)) (/.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) x))) |
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) (*.f64 (neg.f64 x) (/.f64 x (-.f64 x #s(literal 1/3 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 x #s(literal 1/3 binary64))) x) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/9 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)) (pow.f64 (*.f64 (/.f64 x (-.f64 x #s(literal 1/3 binary64))) x) #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 (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) (*.f64 (/.f64 x (-.f64 x #s(literal 1/3 binary64))) x)) (pow.f64 (*.f64 (/.f64 x (-.f64 x #s(literal 1/3 binary64))) x) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 x #s(literal 1/3 binary64))) x) #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) x)) (/.f64 (neg.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) #s(literal 2 binary64))) (+.f64 #s(literal 1/3 binary64) x))) |
(+.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)))) |
Compiled 24 047 to 1 983 computations (91.8% saved)
6 alts after pruning (3 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 642 | 3 | 645 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 644 | 6 | 650 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 53.5% | (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
| ✓ | 77.4% | (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))) |
| ▶ | 77.3% | (/.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))) |
| ✓ | 100.0% | (+.f64 x #s(literal 1/3 binary64)) |
| ✓ | 50.4% | #s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64)) |
| ▶ | 99.9% | #s(approx (+ x 1/3) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) x x)) |
Compiled 68 to 51 computations (25% saved)
| Inputs |
|---|
#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) |
x |
(/.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(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) |
(fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(*.f64 x x) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) |
(*.f64 #s(literal 9 binary64) x) |
#s(literal 9 binary64) |
(/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) |
#s(literal 1/27 binary64) |
(fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) |
(-.f64 x #s(literal 1/3 binary64)) |
#s(literal 1/9 binary64) |
| Outputs |
|---|
1/3 |
(+ 1/3 x) |
(/ 1/3 x) |
x |
-1/9 |
(- (pow x 2) 1/9) |
-1/3 |
(- x 1/3) |
(/ -1/3 x) |
(pow x 2) |
(* 9 x) |
(* x (+ 9 (* 27 x))) |
(* x (+ 9 (* x (+ 27 (* -243 (pow x 2)))))) |
(* x (+ 9 (* x (+ 27 (* (pow x 2) (- (* -729 x) 243)))))) |
(+ 1/3 (* x (+ 1 (* -9 (pow x 2))))) |
(+ 1/3 (* x (+ 1 (* (pow x 2) (- (* -27 x) 9))))) |
1/9 |
(+ 1/9 (* -1/3 x)) |
(+ 1/9 (* x (- x 1/3))) |
(* x (+ 1 (* 1/3 (/ 1 x)))) |
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2))))) |
(* x (- 1 (* 1/3 (/ 1 x)))) |
(/ 1 x) |
(/ (+ 1 (* 1/3 (/ 1 x))) x) |
(/ (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/27 (pow x 3))) x) |
(/ (+ 1 (+ (* -1 (/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 3))) (* 1/3 (/ 1 x)))) x) |
(/ 1/27 (pow x 2)) |
(/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 2)) |
(/ (- (+ 1/27 (* 1/81 (/ 1 x))) (/ 1/729 (pow x 3))) (pow x 2)) |
(/ (+ 1/27 (+ (* -1 (/ (+ 1/729 (* 1/2187 (/ 1 x))) (pow x 3))) (* 1/81 (/ 1 x)))) (pow x 2)) |
(* (pow x 2) (- 1 (* 1/3 (/ 1 x)))) |
(* (pow x 2) (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x)))) |
(* -1 (* x (- (* 1/3 (/ 1 x)) 1))) |
(* -1 (/ (- (* -1 (/ (- 1/3 (* 1/27 (/ 1 (pow x 2)))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 2)))) x)) 1) x)) |
(/ (+ 1/27 (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x))) (pow x 2)) |
(/ (+ 1/27 (* -1 (/ (- (+ (/ 1/2187 (pow x 3)) (* 1/729 (/ 1 (pow x 2)))) 1/81) x))) (pow x 2)) |
(* (pow x 2) (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | -inf | ((+ x 1/3) (+ (* (/ 1/3 x) x) x) (/ 1/3 x) 1/3 x (/ (+ (* x x) -1/9) (- x 1/3)) (+ (* x x) -1/9) -1/9 (- x 1/3) (+ (* (/ -1/3 x) x) x) (/ -1/3 x) -1/3 (+ (* (* x x) (/ x (+ (* x (- x 1/3)) 1/9))) (/ 1/27 (+ (* x (- x 1/3)) 1/9))) (* x x) (/ x (+ (* x (- x 1/3)) 1/9)) (* 9 x) 9 (/ 1/27 (+ (* x (- x 1/3)) 1/9)) 1/27 (+ (* x (- x 1/3)) 1/9) (- x 1/3) 1/9) |
| 2.0ms | x | @ | inf | ((+ x 1/3) (+ (* (/ 1/3 x) x) x) (/ 1/3 x) 1/3 x (/ (+ (* x x) -1/9) (- x 1/3)) (+ (* x x) -1/9) -1/9 (- x 1/3) (+ (* (/ -1/3 x) x) x) (/ -1/3 x) -1/3 (+ (* (* x x) (/ x (+ (* x (- x 1/3)) 1/9))) (/ 1/27 (+ (* x (- x 1/3)) 1/9))) (* x x) (/ x (+ (* x (- x 1/3)) 1/9)) (* 9 x) 9 (/ 1/27 (+ (* x (- x 1/3)) 1/9)) 1/27 (+ (* x (- x 1/3)) 1/9) (- x 1/3) 1/9) |
| 2.0ms | x | @ | 0 | ((+ x 1/3) (+ (* (/ 1/3 x) x) x) (/ 1/3 x) 1/3 x (/ (+ (* x x) -1/9) (- x 1/3)) (+ (* x x) -1/9) -1/9 (- x 1/3) (+ (* (/ -1/3 x) x) x) (/ -1/3 x) -1/3 (+ (* (* x x) (/ x (+ (* x (- x 1/3)) 1/9))) (/ 1/27 (+ (* x (- x 1/3)) 1/9))) (* x x) (/ x (+ (* x (- x 1/3)) 1/9)) (* 9 x) 9 (/ 1/27 (+ (* x (- x 1/3)) 1/9)) 1/27 (+ (* x (- x 1/3)) 1/9) (- x 1/3) 1/9) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 131 | 312 |
| 1 | 408 | 306 |
| 2 | 1317 | 296 |
| 3 | 6086 | 288 |
| 0 | 8039 | 273 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1/3 |
(+ 1/3 x) |
(/ 1/3 x) |
x |
-1/9 |
(- (pow x 2) 1/9) |
-1/3 |
(- x 1/3) |
(/ -1/3 x) |
(pow x 2) |
(* 9 x) |
(* x (+ 9 (* 27 x))) |
(* x (+ 9 (* x (+ 27 (* -243 (pow x 2)))))) |
(* x (+ 9 (* x (+ 27 (* (pow x 2) (- (* -729 x) 243)))))) |
(+ 1/3 (* x (+ 1 (* -9 (pow x 2))))) |
(+ 1/3 (* x (+ 1 (* (pow x 2) (- (* -27 x) 9))))) |
1/9 |
(+ 1/9 (* -1/3 x)) |
(+ 1/9 (* x (- x 1/3))) |
(* x (+ 1 (* 1/3 (/ 1 x)))) |
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2))))) |
(* x (- 1 (* 1/3 (/ 1 x)))) |
(/ 1 x) |
(/ (+ 1 (* 1/3 (/ 1 x))) x) |
(/ (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/27 (pow x 3))) x) |
(/ (+ 1 (+ (* -1 (/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 3))) (* 1/3 (/ 1 x)))) x) |
(/ 1/27 (pow x 2)) |
(/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 2)) |
(/ (- (+ 1/27 (* 1/81 (/ 1 x))) (/ 1/729 (pow x 3))) (pow x 2)) |
(/ (+ 1/27 (+ (* -1 (/ (+ 1/729 (* 1/2187 (/ 1 x))) (pow x 3))) (* 1/81 (/ 1 x)))) (pow x 2)) |
(* (pow x 2) (- 1 (* 1/3 (/ 1 x)))) |
(* (pow x 2) (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x)))) |
(* -1 (* x (- (* 1/3 (/ 1 x)) 1))) |
(* -1 (/ (- (* -1 (/ (- 1/3 (* 1/27 (/ 1 (pow x 2)))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 2)))) x)) 1) x)) |
(/ (+ 1/27 (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x))) (pow x 2)) |
(/ (+ 1/27 (* -1 (/ (- (+ (/ 1/2187 (pow x 3)) (* 1/729 (/ 1 (pow x 2)))) 1/81) x))) (pow x 2)) |
(* (pow x 2) (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)))) |
| Outputs |
|---|
1/3 |
#s(literal 1/3 binary64) |
(+ 1/3 x) |
(-.f64 x #s(literal -1/3 binary64)) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
x |
-1/9 |
#s(literal -1/9 binary64) |
(- (pow x 2) 1/9) |
(fma.f64 x x #s(literal -1/9 binary64)) |
-1/3 |
#s(literal -1/3 binary64) |
(- x 1/3) |
(-.f64 x #s(literal 1/3 binary64)) |
(/ -1/3 x) |
(/.f64 #s(literal -1/3 binary64) x) |
(pow x 2) |
(*.f64 x x) |
(* 9 x) |
(*.f64 #s(literal 9 binary64) x) |
(* x (+ 9 (* 27 x))) |
(*.f64 (fma.f64 #s(literal 27 binary64) x #s(literal 9 binary64)) x) |
(* x (+ 9 (* x (+ 27 (* -243 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -243 binary64) (*.f64 x x) #s(literal 27 binary64)) x #s(literal 9 binary64)) x) |
(* x (+ 9 (* x (+ 27 (* (pow x 2) (- (* -729 x) 243)))))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -729 binary64) x) #s(literal 243 binary64)) (*.f64 x x) #s(literal 27 binary64)) x #s(literal 9 binary64)) x) |
(+ 1/3 (* x (+ 1 (* -9 (pow x 2))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -9 binary64) (-.f64 x #s(literal -1/3 binary64))) |
(+ 1/3 (* x (+ 1 (* (pow x 2) (- (* -27 x) 9))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -27 binary64) x) #s(literal 9 binary64)) (-.f64 x #s(literal -1/3 binary64))) |
1/9 |
#s(literal 1/9 binary64) |
(+ 1/9 (* -1/3 x)) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) |
(+ 1/9 (* x (- x 1/3))) |
(fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)) |
(* x (+ 1 (* 1/3 (/ 1 x)))) |
(-.f64 x #s(literal -1/3 binary64)) |
(* (pow x 2) (- 1 (* 1/9 (/ 1 (pow x 2))))) |
(fma.f64 x x #s(literal -1/9 binary64)) |
(* x (- 1 (* 1/3 (/ 1 x)))) |
(-.f64 x #s(literal 1/3 binary64)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* 1/3 (/ 1 x))) x) |
(/.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) x) x) |
(/ (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/27 (pow x 3))) x) |
(/.f64 (/.f64 (+.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/27 binary64) (*.f64 x x))) x) x) x) |
(/ (+ 1 (+ (* -1 (/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 3))) (* 1/3 (/ 1 x)))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 1/81 binary64) x)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64))) x) |
(/ 1/27 (pow x 2)) |
(/.f64 #s(literal 1/27 binary64) (*.f64 x x)) |
(/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal -1/27 binary64)) x) x) |
(/ (- (+ 1/27 (* 1/81 (/ 1 x))) (/ 1/729 (pow x 3))) (pow x 2)) |
(/.f64 (-.f64 (-.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -1/81 binary64) x)) (*.f64 x x)) |
(/ (+ 1/27 (+ (* -1 (/ (+ 1/729 (* 1/2187 (/ 1 x))) (pow x 3))) (* 1/81 (/ 1 x)))) (pow x 2)) |
(/.f64 (-.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2187 binary64) x) #s(literal 1/729 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/81 binary64) x)) #s(literal -1/27 binary64)) (*.f64 x x)) |
(* (pow x 2) (- 1 (* 1/3 (/ 1 x)))) |
(*.f64 (-.f64 x #s(literal 1/3 binary64)) x) |
(* (pow x 2) (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x)))) |
(fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) |
(* -1 (* x (- (* 1/3 (/ 1 x)) 1))) |
(-.f64 x #s(literal 1/3 binary64)) |
(* -1 (/ (- (* -1 (/ (- 1/3 (* 1/27 (/ 1 (pow x 2)))) x)) 1) x)) |
(/.f64 (/.f64 (+.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/27 binary64) (*.f64 x x))) x) x) x) |
(* -1 (/ (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 2)))) x)) 1) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 1/81 binary64) x)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64))) x) |
(/ (+ 1/27 (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x))) (pow x 2)) |
(/.f64 (-.f64 (-.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -1/81 binary64) x)) (*.f64 x x)) |
(/ (+ 1/27 (* -1 (/ (- (+ (/ 1/2187 (pow x 3)) (* 1/729 (/ 1 (pow x 2)))) 1/81) x))) (pow x 2)) |
(/.f64 (-.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2187 binary64) x) #s(literal 1/729 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/81 binary64) x)) #s(literal -1/27 binary64)) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)))) |
(fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 123 |
| 0 | 42 | 123 |
| 1 | 160 | 123 |
| 0 | 1154 | 123 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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) |
x |
(/.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(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) |
(fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(*.f64 x x) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) |
(*.f64 #s(literal 9 binary64) x) |
#s(literal 9 binary64) |
(/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) |
#s(literal 1/27 binary64) |
(fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) |
(-.f64 x #s(literal 1/3 binary64)) |
#s(literal 1/9 binary64) |
| Outputs |
|---|
#s(approx (+ x 1/3) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) x x)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) |
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) x) x) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal -1/3 binary64) x) x x)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) x) x) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) x) x) x))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) x) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (fma.f64 (/.f64 #s(literal -1/3 binary64) x) x x) (pow.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) x) x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) x) x) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) x) x) x)) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) x) x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) x) x) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) x) x) x)))) |
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(fma.f64 (/.f64 #s(literal 1/27 binary64) (+.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (-.f64 x #s(literal 1/3 binary64)) x)) (pow.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 2 binary64))) (*.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x))) |
(fma.f64 (*.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (neg.f64 x)) (neg.f64 x) (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) |
(fma.f64 (*.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (fabs.f64 x)) (fabs.f64 x) (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) |
(fma.f64 (*.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) x) x (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) |
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x))) (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) |
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x))) (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) |
(fma.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x) (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) |
(fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) |
(fma.f64 x (*.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) x) (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x)) (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))))) (/.f64 (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x)) (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))))) |
(-.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) (*.f64 (neg.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x))) (*.f64 x x))) |
(-.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) (*.f64 (neg.f64 (*.f64 x x)) #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)))) |
(-.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) (*.f64 (neg.f64 x) (*.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) x))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x)) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) (-.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) (*.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x))) (pow.f64 (*.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) (-.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) (*.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x))) (pow.f64 (*.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x)) #s(literal 2 binary64))))) |
(+.f64 (*.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x)) (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) |
(+.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) (*.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 x x) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 x) #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(neg.f64 (*.f64 x (neg.f64 x))) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) |
(*.f64 #s(literal 9 binary64) x) |
(*.f64 x #s(literal 9 binary64)) |
#s(literal 9 binary64) |
(*.f64 (/.f64 #s(literal 1/27 binary64) (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 2 binary64)) #s(literal 1/81 binary64))) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal -1/9 binary64))) |
(*.f64 (/.f64 #s(literal 1/27 binary64) (+.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (-.f64 x #s(literal 1/3 binary64)) x)) (pow.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 2 binary64)))) |
(/.f64 #s(literal -1/27 binary64) (neg.f64 (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) |
(/.f64 #s(literal 1/27 binary64) (neg.f64 (neg.f64 (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))))) |
(/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) |
(neg.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) |
(neg.f64 (/.f64 #s(literal 1/27 binary64) (neg.f64 (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))))) |
#s(literal 1/27 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 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 2 binary64)) #s(literal 1/81 binary64))) (neg.f64 (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal -1/9 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (-.f64 x #s(literal 1/3 binary64)) x)) (pow.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 2 binary64)) #s(literal 1/81 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal -1/9 binary64))) |
(/.f64 (+.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #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 (-.f64 x #s(literal 1/3 binary64)) x))))) |
(/.f64 (+.f64 #s(literal 1/729 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 3 binary64))) (fma.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (-.f64 x #s(literal 1/3 binary64)) x)) (pow.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 2 binary64)))) |
(fma.f64 (-.f64 x #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)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 2 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal -1/9 binary64))) (/.f64 #s(literal 1/81 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal -1/9 binary64)))) |
(-.f64 #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 (*.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)) (fma.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (-.f64 x #s(literal 1/3 binary64)) x)) (pow.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1/729 binary64) (fma.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 (-.f64 x #s(literal 1/3 binary64)) x)) (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 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 x #s(literal 1/3 binary64))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (fma.f64 x x (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)))) |
(/.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 (-.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 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (neg.f64 (+.f64 #s(literal 1/3 binary64) x))) |
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x)) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x))) |
(-.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)) |
#s(literal 1/9 binary64) |
Compiled 5 693 to 652 computations (88.5% saved)
6 alts after pruning (1 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 203 | 1 | 204 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 2 | 3 |
| Done | 0 | 3 | 3 |
| Total | 204 | 6 | 210 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 52.8% | (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))) |
| ✓ | 77.4% | (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))) |
| ✓ | 77.3% | (/.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))) |
| ✓ | 100.0% | (+.f64 x #s(literal 1/3 binary64)) |
| ✓ | 50.4% | #s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64)) |
| ✓ | 99.9% | #s(approx (+ x 1/3) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) x x)) |
Compiled 74 to 51 computations (31.1% saved)
| Inputs |
|---|
(fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))) |
(*.f64 x x) |
x |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) |
(*.f64 #s(literal 9 binary64) x) |
#s(literal 9 binary64) |
(/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) |
#s(literal 1/27 binary64) |
#s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) |
#s(literal -1/3 binary64) |
#s(literal 1/9 binary64) |
| Outputs |
|---|
1/3 |
(+ 1/3 x) |
(pow x 2) |
x |
(* 9 x) |
(* x (+ 9 (* 27 x))) |
(* x (+ 9 (* x (+ 27 (* -243 (pow x 2)))))) |
(* x (+ 9 (* x (+ 27 (* (pow x 2) (- (* -729 x) 243)))))) |
(+ 1/3 (* x (+ 1 (* -9 (pow x 2))))) |
(+ 1/3 (* x (+ 1 (* (pow x 2) (- (* -27 x) 9))))) |
1/9 |
(+ 1/9 (* -1/3 x)) |
(+ 1/9 (* x (- x 1/3))) |
(* x (+ 1 (* 1/3 (/ 1 x)))) |
(/ 1 x) |
(/ (+ 1 (* 1/3 (/ 1 x))) x) |
(/ (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/27 (pow x 3))) x) |
(/ (+ 1 (+ (* -1 (/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 3))) (* 1/3 (/ 1 x)))) x) |
(/ 1/27 (pow x 2)) |
(/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 2)) |
(/ (- (+ 1/27 (* 1/81 (/ 1 x))) (/ 1/729 (pow x 3))) (pow x 2)) |
(/ (+ 1/27 (+ (* -1 (/ (+ 1/729 (* 1/2187 (/ 1 x))) (pow x 3))) (* 1/81 (/ 1 x)))) (pow x 2)) |
(* (pow x 2) (- 1 (* 1/3 (/ 1 x)))) |
(* (pow x 2) (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x)))) |
(* -1/3 x) |
(* x (- (* 1/9 (/ 1 x)) 1/3)) |
(* -1 (/ (- (* -1 (/ (- 1/3 (* 1/27 (/ 1 (pow x 2)))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 2)))) x)) 1) x)) |
(/ (+ 1/27 (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x))) (pow x 2)) |
(/ (+ 1/27 (* -1 (/ (- (+ (/ 1/2187 (pow x 3)) (* 1/729 (/ 1 (pow x 2)))) 1/81) x))) (pow x 2)) |
(* (pow x 2) (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)))) |
(* -1 (* x (- 1/3 (* 1/9 (/ 1 x))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((+ (* (* x x) (/ x (+ (* x (- x 1/3)) 1/9))) (/ 1/27 (+ (* x (- x 1/3)) 1/9))) (* x x) x (/ x (+ (* x (- x 1/3)) 1/9)) (* 9 x) 9 (/ 1/27 (+ (* x (- x 1/3)) 1/9)) 1/27 (+ (* x (- x 1/3)) 1/9) (+ (* -1/3 x) 1/9) -1/3 1/9) |
| 1.0ms | x | @ | inf | ((+ (* (* x x) (/ x (+ (* x (- x 1/3)) 1/9))) (/ 1/27 (+ (* x (- x 1/3)) 1/9))) (* x x) x (/ x (+ (* x (- x 1/3)) 1/9)) (* 9 x) 9 (/ 1/27 (+ (* x (- x 1/3)) 1/9)) 1/27 (+ (* x (- x 1/3)) 1/9) (+ (* -1/3 x) 1/9) -1/3 1/9) |
| 1.0ms | x | @ | 0 | ((+ (* (* x x) (/ x (+ (* x (- x 1/3)) 1/9))) (/ 1/27 (+ (* x (- x 1/3)) 1/9))) (* x x) x (/ x (+ (* x (- x 1/3)) 1/9)) (* 9 x) 9 (/ 1/27 (+ (* x (- x 1/3)) 1/9)) 1/27 (+ (* x (- x 1/3)) 1/9) (+ (* -1/3 x) 1/9) -1/3 1/9) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 124 | 298 |
| 1 | 398 | 292 |
| 2 | 1296 | 278 |
| 3 | 6000 | 274 |
| 0 | 9084 | 259 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1/3 |
(+ 1/3 x) |
(pow x 2) |
x |
(* 9 x) |
(* x (+ 9 (* 27 x))) |
(* x (+ 9 (* x (+ 27 (* -243 (pow x 2)))))) |
(* x (+ 9 (* x (+ 27 (* (pow x 2) (- (* -729 x) 243)))))) |
(+ 1/3 (* x (+ 1 (* -9 (pow x 2))))) |
(+ 1/3 (* x (+ 1 (* (pow x 2) (- (* -27 x) 9))))) |
1/9 |
(+ 1/9 (* -1/3 x)) |
(+ 1/9 (* x (- x 1/3))) |
(* x (+ 1 (* 1/3 (/ 1 x)))) |
(/ 1 x) |
(/ (+ 1 (* 1/3 (/ 1 x))) x) |
(/ (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/27 (pow x 3))) x) |
(/ (+ 1 (+ (* -1 (/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 3))) (* 1/3 (/ 1 x)))) x) |
(/ 1/27 (pow x 2)) |
(/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 2)) |
(/ (- (+ 1/27 (* 1/81 (/ 1 x))) (/ 1/729 (pow x 3))) (pow x 2)) |
(/ (+ 1/27 (+ (* -1 (/ (+ 1/729 (* 1/2187 (/ 1 x))) (pow x 3))) (* 1/81 (/ 1 x)))) (pow x 2)) |
(* (pow x 2) (- 1 (* 1/3 (/ 1 x)))) |
(* (pow x 2) (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x)))) |
(* -1/3 x) |
(* x (- (* 1/9 (/ 1 x)) 1/3)) |
(* -1 (/ (- (* -1 (/ (- 1/3 (* 1/27 (/ 1 (pow x 2)))) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 2)))) x)) 1) x)) |
(/ (+ 1/27 (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x))) (pow x 2)) |
(/ (+ 1/27 (* -1 (/ (- (+ (/ 1/2187 (pow x 3)) (* 1/729 (/ 1 (pow x 2)))) 1/81) x))) (pow x 2)) |
(* (pow x 2) (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)))) |
(* -1 (* x (- 1/3 (* 1/9 (/ 1 x))))) |
| Outputs |
|---|
1/3 |
#s(literal 1/3 binary64) |
(+ 1/3 x) |
(-.f64 x #s(literal -1/3 binary64)) |
(pow x 2) |
(*.f64 x x) |
x |
(* 9 x) |
(*.f64 #s(literal 9 binary64) x) |
(* x (+ 9 (* 27 x))) |
(*.f64 (fma.f64 #s(literal 27 binary64) x #s(literal 9 binary64)) x) |
(* x (+ 9 (* x (+ 27 (* -243 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -243 binary64) (*.f64 x x) #s(literal 27 binary64)) x #s(literal 9 binary64)) x) |
(* x (+ 9 (* x (+ 27 (* (pow x 2) (- (* -729 x) 243)))))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal -729 binary64) x) #s(literal 243 binary64)) (*.f64 x x) #s(literal 27 binary64)) x #s(literal 9 binary64)) x) |
(+ 1/3 (* x (+ 1 (* -9 (pow x 2))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -9 binary64) (-.f64 x #s(literal -1/3 binary64))) |
(+ 1/3 (* x (+ 1 (* (pow x 2) (- (* -27 x) 9))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -27 binary64) x) #s(literal 9 binary64)) (-.f64 x #s(literal -1/3 binary64))) |
1/9 |
#s(literal 1/9 binary64) |
(+ 1/9 (* -1/3 x)) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) |
(+ 1/9 (* x (- x 1/3))) |
(fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)) |
(* x (+ 1 (* 1/3 (/ 1 x)))) |
(-.f64 x #s(literal -1/3 binary64)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* 1/3 (/ 1 x))) x) |
(/.f64 (/.f64 (-.f64 x #s(literal -1/3 binary64)) x) x) |
(/ (- (+ 1 (* 1/3 (/ 1 x))) (/ 1/27 (pow x 3))) x) |
(/.f64 (/.f64 (+.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/27 binary64) (*.f64 x x))) x) x) x) |
(/ (+ 1 (+ (* -1 (/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 3))) (* 1/3 (/ 1 x)))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 1/81 binary64) x)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64))) x) |
(/ 1/27 (pow x 2)) |
(/.f64 #s(literal 1/27 binary64) (*.f64 x x)) |
(/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal -1/27 binary64)) x) x) |
(/ (- (+ 1/27 (* 1/81 (/ 1 x))) (/ 1/729 (pow x 3))) (pow x 2)) |
(/.f64 (-.f64 (-.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -1/81 binary64) x)) (*.f64 x x)) |
(/ (+ 1/27 (+ (* -1 (/ (+ 1/729 (* 1/2187 (/ 1 x))) (pow x 3))) (* 1/81 (/ 1 x)))) (pow x 2)) |
(/.f64 (-.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/729 binary64) (/.f64 #s(literal 1/2187 binary64) x)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/81 binary64) x)) #s(literal -1/27 binary64)) (*.f64 x x)) |
(* (pow x 2) (- 1 (* 1/3 (/ 1 x)))) |
(*.f64 (-.f64 x #s(literal 1/3 binary64)) x) |
(* (pow x 2) (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x)))) |
(fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) |
(* -1/3 x) |
(*.f64 #s(literal -1/3 binary64) x) |
(* x (- (* 1/9 (/ 1 x)) 1/3)) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) |
(* -1 (/ (- (* -1 (/ (- 1/3 (* 1/27 (/ 1 (pow x 2)))) x)) 1) x)) |
(/.f64 (/.f64 (+.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/27 binary64) (*.f64 x x))) x) x) x) |
(* -1 (/ (- (* -1 (/ (+ 1/3 (* -1 (/ (+ 1/27 (* 1/81 (/ 1 x))) (pow x 2)))) x)) 1) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 1/81 binary64) x)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64))) x) |
(/ (+ 1/27 (* -1 (/ (- (* 1/729 (/ 1 (pow x 2))) 1/81) x))) (pow x 2)) |
(/.f64 (-.f64 (-.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1/729 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -1/81 binary64) x)) (*.f64 x x)) |
(/ (+ 1/27 (* -1 (/ (- (+ (/ 1/2187 (pow x 3)) (* 1/729 (/ 1 (pow x 2)))) 1/81) x))) (pow x 2)) |
(/.f64 (-.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/729 binary64) (/.f64 #s(literal 1/2187 binary64) x)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1/81 binary64) x)) #s(literal -1/27 binary64)) (*.f64 x x)) |
(* (pow x 2) (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x)))) |
(fma.f64 x x (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) |
(* -1 (* x (- 1/3 (* 1/9 (/ 1 x))))) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 85 |
| 0 | 24 | 85 |
| 1 | 93 | 85 |
| 0 | 668 | 80 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))) |
(*.f64 x x) |
x |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) |
(*.f64 #s(literal 9 binary64) x) |
#s(literal 9 binary64) |
(/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) |
#s(literal 1/27 binary64) |
#s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) |
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)) |
#s(literal -1/3 binary64) |
#s(literal 1/9 binary64) |
| Outputs |
|---|
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x)) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) (*.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x)) (/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) (-.f64 (/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) (*.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x))) (pow.f64 (*.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) #s(literal 2 binary64))) (-.f64 (*.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x)) (/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x)) (/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) (-.f64 (/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) (*.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x))) (pow.f64 (*.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x)) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (neg.f64 x)) (neg.f64 x) (/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))) |
(fma.f64 (*.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (fabs.f64 x)) (fabs.f64 x) (/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))) |
(fma.f64 (*.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) x) x (/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))) |
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x))) (/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))) |
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x))) (/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))) |
(fma.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x) (/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))) |
(fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))) |
(fma.f64 x (*.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) x) (/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x)) (/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))))) (/.f64 (pow.f64 (/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x)) (/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))))) |
(-.f64 (/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) (*.f64 (neg.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x))) (*.f64 x x))) |
(-.f64 (/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) (*.f64 (neg.f64 (*.f64 x x)) #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)))) |
(-.f64 (/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) (*.f64 (neg.f64 x) (*.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) x))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x)) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) (-.f64 (/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) (*.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x))) (pow.f64 (*.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) (-.f64 (/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) (*.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x))) (pow.f64 (*.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x)) #s(literal 2 binary64))))) |
(+.f64 (*.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x)) (/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))) |
(+.f64 (/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) (*.f64 #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (*.f64 x x))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) |
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x))) |
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (fabs.f64 x) (fabs.f64 x)) |
(*.f64 x x) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 x) #s(literal 2 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(neg.f64 (*.f64 x (neg.f64 x))) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
x |
#s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) |
(*.f64 #s(literal 9 binary64) x) |
(*.f64 x #s(literal 9 binary64)) |
#s(literal 9 binary64) |
(/.f64 #s(literal -1/27 binary64) (neg.f64 #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))) |
(/.f64 #s(literal 1/27 binary64) (neg.f64 (neg.f64 #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))))) |
(/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))) |
(neg.f64 (/.f64 #s(literal -1/27 binary64) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))) |
(neg.f64 (/.f64 #s(literal 1/27 binary64) (neg.f64 #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))))) |
#s(literal 1/27 binary64) |
#s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) |
(/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 #s(literal 1/9 binary64) (*.f64 x x))) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/3 binary64) x))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal -1/81 binary64))) (neg.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/9 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64) #s(literal 1/729 binary64))) (neg.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) (-.f64 #s(literal 1/81 binary64) (*.f64 x #s(literal -1/27 binary64)))))) |
(/.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal -1/81 binary64)) (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/9 binary64))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64) #s(literal 1/729 binary64)) (+.f64 #s(literal 1/81 binary64) (-.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) (*.f64 x #s(literal -1/27 binary64))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64) #s(literal 1/729 binary64)) (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) (-.f64 #s(literal 1/81 binary64) (*.f64 x #s(literal -1/27 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 #s(literal 1/9 binary64) (*.f64 x x)) (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/9 binary64))) (/.f64 #s(literal 1/81 binary64) (fma.f64 #s(literal -1/3 binary64) x #s(literal -1/9 binary64)))) |
(-.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/9 binary64)) |
(-.f64 #s(literal 1/9 binary64) (*.f64 (neg.f64 x) #s(literal -1/3 binary64))) |
(-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) (-.f64 #s(literal 1/81 binary64) (*.f64 x #s(literal -1/27 binary64))))) (/.f64 #s(literal 1/729 binary64) (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) (-.f64 #s(literal 1/81 binary64) (*.f64 x #s(literal -1/27 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) |
Compiled 3 571 to 324 computations (90.9% saved)
6 alts after pruning (0 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 89 | 0 | 89 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 5 | 5 |
| Total | 89 | 6 | 95 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 52.8% | (fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))) |
| ✓ | 77.4% | (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))) |
| ✓ | 77.3% | (/.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))) |
| ✓ | 100.0% | (+.f64 x #s(literal 1/3 binary64)) |
| ✓ | 50.4% | #s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64)) |
| ✓ | 99.9% | #s(approx (+ x 1/3) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) x x)) |
Compiled 238 to 105 computations (55.9% saved)
| Inputs |
|---|
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64)) |
(+.f64 x #s(literal 1/3 binary64)) |
(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
#s(approx (+ x 1/3) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) x x)) |
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))) |
(fma.f64 (*.f64 x x) #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal 1/27 binary64) #s(approx (+ (* x (- x 1/3)) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))) |
(/.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 x) #s(approx (/ x (+ (* x (- x 1/3)) 1/9)) (*.f64 #s(literal 9 binary64) x)) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64)))) (*.f64 x (/.f64 x (-.f64 x #s(literal 1/3 binary64))))) (*.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal 1/3 binary64))))) (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))))) |
| Outputs |
|---|
(+.f64 x #s(literal 1/3 binary64)) |
2 calls:
| 81.0ms | x |
| 3.0ms | (+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| 100.0% | 1 | x |
Compiled 6 to 6 computations (0% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64)) |
| Outputs |
|---|
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64)) |
2 calls:
| 1.0ms | x |
| 1.0ms | (+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.4% | 1 | (+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| 50.4% | 1 | x |
Compiled 6 to 6 computations (0% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 8 |
| 1 | 11 | 8 |
| 2 | 14 | 8 |
| 3 | 25 | 8 |
| 4 | 56 | 8 |
| 5 | 263 | 8 |
| 6 | 2666 | 8 |
| 7 | 7925 | 8 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 x #s(literal 1/3 binary64)) |
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64)) |
| Outputs |
|---|
(+.f64 x #s(literal 1/3 binary64)) |
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64)) |
| 1× | done |
Compiled 10 to 8 computations (20% saved)
Compiled 30 to 26 computations (13.3% saved)
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