
Time bar (total: 2.7s)
| 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)
| 644.0ms | 8 256× | 0 | valid |
ival-div: 158.0ms (51.5% of total)ival-sub: 130.0ms (42.4% of total)exact: 9.0ms (2.9% of total)ival-true: 6.0ms (2% of total)ival-assert: 3.0ms (1% of total)adjust: 2.0ms (0.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 57.0ms | 512× | 0 | valid |
Compiled 31 to 19 computations (38.7% saved)
ival-div: 42.0ms (91.6% of total)ival-sub: 3.0ms (6.5% 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 | 10 | 9 |
| 2 | 13 | 9 |
| 3 | 23 | 9 |
| 4 | 67 | 9 |
| 5 | 377 | 9 |
| 6 | 4763 | 9 |
| 0 | 5 | 3 |
| 0 | 8 | 3 |
| 1 | 10 | 3 |
| 2 | 13 | 3 |
| 3 | 21 | 3 |
| 4 | 47 | 3 |
| 5 | 183 | 3 |
| 6 | 1426 | 3 |
| 7 | 4404 | 3 |
| 0 | 8075 | 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 x #s(literal 1/3 binary64)) |
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 |
|---|
#s(approx (- x (/ 1 3)) #s(hole binary64 -1/3)) |
#s(approx (- x (/ 1 3)) #s(hole binary64 (- x 1/3))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- x (/ 1 3)) #s(hole binary64 x)) |
#s(approx (- x (/ 1 3)) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (- x (/ 1 3)) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((- x (/ 1 3)) x (/ 1 3) 1 3) |
| 0.0ms | x | @ | inf | ((- x (/ 1 3)) x (/ 1 3) 1 3) |
| 0.0ms | x | @ | 0 | ((- x (/ 1 3)) x (/ 1 3) 1 3) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 34 |
| 1 | 37 | 34 |
| 2 | 83 | 34 |
| 3 | 212 | 34 |
| 4 | 893 | 34 |
| 5 | 5552 | 34 |
| 0 | 9076 | 34 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#s(approx (- x (/ 1 3)) #s(hole binary64 -1/3)) |
#s(approx (- x (/ 1 3)) #s(hole binary64 (- x 1/3))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- x (/ 1 3)) #s(hole binary64 x)) |
#s(approx (- x (/ 1 3)) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (- x (/ 1 3)) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
| Outputs |
|---|
#s(approx (- x (/ 1 3)) #s(hole binary64 -1/3)) |
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
#s(approx (- x (/ 1 3)) #s(hole binary64 (- x 1/3))) |
#s(approx (- x (/ 1 3)) (-.f64 x #s(literal 1/3 binary64))) |
#s(approx x #s(hole binary64 x)) |
#s(approx x x) |
#s(approx (- x (/ 1 3)) #s(hole binary64 x)) |
#s(approx (- x (/ 1 3)) x) |
#s(approx (- x (/ 1 3)) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (- x (/ 1 3)) (-.f64 x #s(literal 1/3 binary64))) |
#s(approx (- x (/ 1 3)) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (- x (/ 1 3)) (-.f64 x #s(literal 1/3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 5 | 7 |
| 0 | 8 | 7 |
| 1 | 25 | 7 |
| 2 | 133 | 7 |
| 0 | 1125 | 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 (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)))) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 x #s(literal 1/3 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (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 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (-.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (+.f64 #s(literal 1/3 binary64) x) (/.f64 (-.f64 x #s(literal 1/3 binary64)) (+.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) (/.f64 (-.f64 x #s(literal 1/3 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 1/3 binary64) x))) (*.f64 x (/.f64 x (+.f64 #s(literal 1/3 binary64) x)))) (*.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)))) (fma.f64 x (/.f64 x (+.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))) (*.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))))) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 1/3 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 1/3 binary64) x))) (*.f64 x (/.f64 x (+.f64 #s(literal 1/3 binary64) x))) (fma.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) x)) (*.f64 (*.f64 x (/.f64 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 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) (fma.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64)))) (neg.f64 (+.f64 (neg.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 x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) x)) (*.f64 (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (*.f64 (+.f64 #s(literal 1/3 binary64) x) (+.f64 #s(literal 1/3 binary64) x))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) (*.f64 (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) #s(literal 1/27 binary64))) (*.f64 (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/81 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/19683 binary64)) (*.f64 (fma.f64 #s(literal 1/27 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/27 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 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 #s(literal 1/3 binary64) x))) |
(/.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 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))) (+.f64 (neg.f64 x) #s(literal -1/3 binary64))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (neg.f64 (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))) |
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (+.f64 #s(literal 1/3 binary64) x))) |
(neg.f64 (/.f64 (neg.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))))) |
(neg.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 (neg.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 x (fma.f64 #s(literal 1/3 binary64) x #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 (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x))) (/.f64 #s(literal -1/9 binary64) (+.f64 #s(literal 1/3 binary64) x))) |
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 x #s(literal 1/3 binary64)) (/.f64 #s(literal -1/9 binary64) (+.f64 #s(literal 1/3 binary64) x))) |
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) (+.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal -1/9 binary64) (+.f64 #s(literal 1/3 binary64) x))) |
(fma.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (+.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal -1/9 binary64) (+.f64 #s(literal 1/3 binary64) x))) |
(fma.f64 x (/.f64 x (+.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal -1/9 binary64) (+.f64 #s(literal 1/3 binary64) x))) |
(-.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 1/3 binary64) x))) (/.f64 #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)) |
(+.f64 (*.f64 x (/.f64 x (+.f64 #s(literal 1/3 binary64) x))) (/.f64 #s(literal -1/9 binary64) (+.f64 #s(literal 1/3 binary64) x))) |
x |
#s(literal 1/3 binary64) |
#s(literal 1 binary64) |
#s(literal 3 binary64) |
Compiled 808 to 152 computations (81.2% saved)
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 39 | 4 | 43 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 40 | 4 | 44 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 65.0% | (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) |
| ▶ | 100.0% | (-.f64 x #s(literal 1/3 binary64)) |
| ▶ | 53.2% | #s(approx (- x (/ 1 3)) x) |
| ▶ | 48.1% | #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
Compiled 30 to 26 computations (13.3% saved)
| Inputs |
|---|
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
#s(literal -1/3 binary64) |
#s(approx (- x (/ 1 3)) x) |
x |
(-.f64 x #s(literal 1/3 binary64)) |
#s(literal 1/3 binary64) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(literal 1/27 binary64) |
(fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) |
#s(literal 1/9 binary64) |
| Outputs |
|---|
#s(approx (- x (/ 1 3)) #s(hole binary64 -1/3)) |
#s(approx (- x (/ 1 3)) #s(hole binary64 (- x 1/3))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- x 1/3) #s(hole binary64 -1/3)) |
#s(approx (- x 1/3) #s(hole binary64 (- x 1/3))) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 -1/3)) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 (- x 1/3))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 -1/27)) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (- (pow x 3) 1/27))) |
#s(approx (pow x 3) #s(hole binary64 (pow x 3))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 1/9)) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (+ 1/9 (* 1/3 x)))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (+ 1/9 (* x (+ 1/3 x))))) |
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 1/9)) |
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 (+ 1/9 (* 1/3 x)))) |
#s(approx (- x (/ 1 3)) #s(hole binary64 x)) |
#s(approx (- x (/ 1 3)) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (- x 1/3) #s(hole binary64 x)) |
#s(approx (- x 1/3) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 x)) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (pow x 3))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3))))))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/3 (/ 1 x)))))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))))) |
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 (* 1/3 x))) |
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 (* x (+ 1/3 (* 1/9 (/ 1 x)))))) |
#s(approx (- x (/ 1 3)) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (- x 1/3) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((- x (/ 1 3)) -1/3 (- x (/ 1 3)) x (- x 1/3) 1/3 (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) (- (pow x 3) 1/27) (pow x 3) 3 1/27 (+ (* x x) (+ (* 1/3 x) 1/9)) (+ (* 1/3 x) 1/9) 1/9) |
| 2.0ms | x | @ | inf | ((- x (/ 1 3)) -1/3 (- x (/ 1 3)) x (- x 1/3) 1/3 (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) (- (pow x 3) 1/27) (pow x 3) 3 1/27 (+ (* x x) (+ (* 1/3 x) 1/9)) (+ (* 1/3 x) 1/9) 1/9) |
| 1.0ms | x | @ | 0 | ((- x (/ 1 3)) -1/3 (- x (/ 1 3)) x (- x 1/3) 1/3 (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) (- (pow x 3) 1/27) (pow x 3) 3 1/27 (+ (* x x) (+ (* 1/3 x) 1/9)) (+ (* 1/3 x) 1/9) 1/9) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 342 |
| 1 | 163 | 320 |
| 2 | 506 | 316 |
| 3 | 2324 | 316 |
| 4 | 6540 | 316 |
| 0 | 8713 | 296 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#s(approx (- x (/ 1 3)) #s(hole binary64 -1/3)) |
#s(approx (- x (/ 1 3)) #s(hole binary64 (- x 1/3))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (- x 1/3) #s(hole binary64 -1/3)) |
#s(approx (- x 1/3) #s(hole binary64 (- x 1/3))) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 -1/3)) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 (- x 1/3))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 -1/27)) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (- (pow x 3) 1/27))) |
#s(approx (pow x 3) #s(hole binary64 (pow x 3))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 1/9)) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (+ 1/9 (* 1/3 x)))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (+ 1/9 (* x (+ 1/3 x))))) |
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 1/9)) |
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 (+ 1/9 (* 1/3 x)))) |
#s(approx (- x (/ 1 3)) #s(hole binary64 x)) |
#s(approx (- x (/ 1 3)) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (- x 1/3) #s(hole binary64 x)) |
#s(approx (- x 1/3) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 x)) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (pow x 3))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3))))))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/3 (/ 1 x)))))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))))) |
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 (* 1/3 x))) |
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 (* x (+ 1/3 (* 1/9 (/ 1 x)))))) |
#s(approx (- x (/ 1 3)) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (- x 1/3) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1))))) |
| Outputs |
|---|
#s(approx (- x (/ 1 3)) #s(hole binary64 -1/3)) |
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
#s(approx (- x (/ 1 3)) #s(hole binary64 (- x 1/3))) |
#s(approx (- x (/ 1 3)) (-.f64 x #s(literal 1/3 binary64))) |
#s(approx x #s(hole binary64 x)) |
#s(approx x x) |
#s(approx (- x 1/3) #s(hole binary64 -1/3)) |
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
#s(approx (- x 1/3) #s(hole binary64 (- x 1/3))) |
#s(approx (- x (/ 1 3)) (-.f64 x #s(literal 1/3 binary64))) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 -1/3)) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(literal -1/3 binary64)) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 (- x 1/3))) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) (-.f64 x #s(literal 1/3 binary64))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 -1/27)) |
#s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (- (pow x 3) 1/27))) |
#s(approx (- (pow x 3) 1/27) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) |
#s(approx (pow x 3) #s(hole binary64 (pow x 3))) |
#s(approx (pow x 3) (pow.f64 x #s(literal 3 binary64))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 1/9)) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(literal 1/9 binary64)) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (+ 1/9 (* 1/3 x)))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (+ 1/9 (* x (+ 1/3 x))))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))) |
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 1/9)) |
#s(approx (+ (* 1/3 x) 1/9) #s(literal 1/9 binary64)) |
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 (+ 1/9 (* 1/3 x)))) |
#s(approx (+ (* 1/3 x) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
#s(approx (- x (/ 1 3)) #s(hole binary64 x)) |
#s(approx (- x (/ 1 3)) x) |
#s(approx (- x (/ 1 3)) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (- x (/ 1 3)) (-.f64 x #s(literal 1/3 binary64))) |
#s(approx (- x 1/3) #s(hole binary64 x)) |
#s(approx (- x (/ 1 3)) x) |
#s(approx (- x 1/3) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (- x (/ 1 3)) (-.f64 x #s(literal 1/3 binary64))) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 x)) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) x) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) (-.f64 x #s(literal 1/3 binary64))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (pow x 3))) |
#s(approx (- (pow x 3) 1/27) (pow.f64 x #s(literal 3 binary64))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3))))))) |
#s(approx (- (pow x 3) 1/27) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (*.f64 x x)) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/3 (/ 1 x)))))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) x)) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))) |
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 (* 1/3 x))) |
#s(approx (+ (* 1/3 x) 1/9) (*.f64 #s(literal 1/3 binary64) x)) |
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 (* x (+ 1/3 (* 1/9 (/ 1 x)))))) |
#s(approx (+ (* 1/3 x) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
#s(approx (- x (/ 1 3)) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (- x (/ 1 3)) (-.f64 x #s(literal 1/3 binary64))) |
#s(approx (- x 1/3) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (- x (/ 1 3)) (-.f64 x #s(literal 1/3 binary64))) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) (-.f64 x #s(literal 1/3 binary64))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1))))) |
#s(approx (- (pow x 3) 1/27) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 51 |
| 0 | 24 | 41 |
| 1 | 100 | 41 |
| 0 | 732 | 40 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
#s(literal -1/3 binary64) |
#s(approx (- x (/ 1 3)) x) |
x |
(-.f64 x #s(literal 1/3 binary64)) |
#s(literal 1/3 binary64) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(literal 1/27 binary64) |
(fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) |
#s(literal 1/9 binary64) |
| Outputs |
|---|
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
#s(literal -1/3 binary64) |
#s(approx (- x (/ 1 3)) x) |
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 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (-.f64 (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 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (-.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))) (*.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (fma.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.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 (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 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (*.f64 (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) #s(literal 1/27 binary64))) (*.f64 (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))) |
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (*.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/19683 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 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (neg.f64 (fma.f64 x (+.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 (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (neg.f64 (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))) |
(-.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 (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))) |
(-.f64 x #s(literal 1/3 binary64)) |
#s(literal 1/3 binary64) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (-.f64 (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 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (-.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))) (*.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (fma.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.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 (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 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (*.f64 (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) #s(literal 1/27 binary64))) (*.f64 (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))) |
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 #s(literal 1/3 binary64) x)) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (*.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/19683 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 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (neg.f64 (fma.f64 x (+.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 (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (neg.f64 (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))) |
(-.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 (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))) |
(-.f64 x #s(literal 1/3 binary64)) |
(*.f64 (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (-.f64 x #s(literal 1/3 binary64))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64))) (neg.f64 (+.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/19683 binary64))) (neg.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))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/729 binary64)) (+.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/19683 binary64)) (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)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1/729 binary64) (+.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (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)))) (/.f64 #s(literal 1/19683 binary64) (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))))) |
(-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) |
(*.f64 (*.f64 x (neg.f64 x)) (neg.f64 x)) |
(*.f64 (*.f64 x (fabs.f64 x)) (fabs.f64 x)) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 x #s(literal 3/2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)) |
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) x)) |
(*.f64 (*.f64 x x) x) |
(*.f64 x (*.f64 x x)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))) |
#s(literal 3 binary64) |
#s(literal 1/27 binary64) |
(/.f64 (-.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) x)) (*.f64 x (+.f64 #s(literal 1/3 binary64) x))) #s(literal 1/81 binary64)) (-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) x)) #s(literal 1/9 binary64))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 x x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64)) #s(literal 1/729 binary64)) (fma.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) x)) (*.f64 x (+.f64 #s(literal 1/3 binary64) x)) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) x)) #s(literal 1/9 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (fma.f64 x x #s(literal -1/9 binary64)) (*.f64 #s(literal 1/3 binary64) x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (-.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 2 binary64))) (-.f64 (fma.f64 x x #s(literal -1/9 binary64)) (*.f64 #s(literal 1/3 binary64) x))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (-.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
(fma.f64 (neg.f64 x) (neg.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
(fma.f64 (fabs.f64 x) (fabs.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
(fma.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1/3 binary64) x) (*.f64 x x)) |
(fma.f64 #s(literal 1/3 binary64) x (+.f64 #s(literal 1/9 binary64) (*.f64 x x))) |
(fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) |
(fma.f64 x #s(literal 1/3 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x x))) |
(fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (fma.f64 x x #s(literal -1/9 binary64)) (*.f64 #s(literal 1/3 binary64) x))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 2 binary64)) (-.f64 (fma.f64 x x #s(literal -1/9 binary64)) (*.f64 #s(literal 1/3 binary64) x)))) |
(-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) x)) #s(literal -1/9 binary64)) |
(-.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))) |
(-.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x))) |
(-.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 (neg.f64 x) x)) |
(-.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 x (neg.f64 x))) |
(+.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 #s(literal 1/3 binary64) x)) |
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (-.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (-.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) |
(+.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) x)) #s(literal 1/9 binary64)) |
(+.f64 (*.f64 x x) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
(+.f64 (*.f64 #s(literal 1/3 binary64) x) (+.f64 #s(literal 1/9 binary64) (*.f64 x x))) |
(+.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 x x)) |
(+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x))) |
(*.f64 #s(literal 1/3 binary64) (+.f64 #s(literal 1/3 binary64) x)) |
(/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal 1/9 binary64))) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/81 binary64))) (neg.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/729 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) (-.f64 #s(literal 1/81 binary64) (*.f64 x #s(literal 1/27 binary64)))))) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/81 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))) |
(/.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/729 binary64)) (+.f64 #s(literal 1/81 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/27 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/729 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) (-.f64 #s(literal 1/81 binary64) (*.f64 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 (*.f64 x x) #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64))) (/.f64 #s(literal 1/81 binary64) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/9 binary64)))) |
(-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal -1/9 binary64)) |
(-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/3 binary64) x)) |
(-.f64 #s(literal 1/9 binary64) (*.f64 (neg.f64 x) #s(literal 1/3 binary64))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) (-.f64 #s(literal 1/81 binary64) (*.f64 x #s(literal 1/27 binary64))))) (/.f64 #s(literal 1/729 binary64) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) (-.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 1/9 binary64) |
Compiled 2 290 to 387 computations (83.1% saved)
4 alts after pruning (1 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 123 | 1 | 124 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 3 | 4 |
| Done | 0 | 0 | 0 |
| Total | 124 | 4 | 128 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 48.2% | (/.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) |
| ✓ | 100.0% | (-.f64 x #s(literal 1/3 binary64)) |
| ✓ | 53.2% | #s(approx (- x (/ 1 3)) x) |
| ✓ | 48.1% | #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
Compiled 32 to 28 computations (12.5% saved)
| Inputs |
|---|
(/.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) |
#s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) |
#s(literal -1/27 binary64) |
(fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
x |
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) |
#s(literal 1/3 binary64) |
#s(literal 1/9 binary64) |
| Outputs |
|---|
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 -1/3)) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 (- x 1/3))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 -1/27)) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (- (pow x 3) 1/27))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 1/9)) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (+ 1/9 (* 1/3 x)))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (+ 1/9 (* x (+ 1/3 x))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 1/9)) |
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 (+ 1/9 (* 1/3 x)))) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 x)) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (pow x 3))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3))))))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/3 (/ 1 x)))))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))))) |
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 (* 1/3 x))) |
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 (* x (+ 1/3 (* 1/9 (/ 1 x)))))) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) (- (pow x 3) 1/27) -1/27 (+ (* x x) (+ (* 1/3 x) 1/9)) x (+ (* 1/3 x) 1/9) 1/3 1/9) |
| 1.0ms | x | @ | inf | ((/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) (- (pow x 3) 1/27) -1/27 (+ (* x x) (+ (* 1/3 x) 1/9)) x (+ (* 1/3 x) 1/9) 1/3 1/9) |
| 1.0ms | x | @ | 0 | ((/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) (- (pow x 3) 1/27) -1/27 (+ (* x x) (+ (* 1/3 x) 1/9)) x (+ (* 1/3 x) 1/9) 1/3 1/9) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 273 |
| 1 | 152 | 251 |
| 2 | 481 | 247 |
| 3 | 2293 | 247 |
| 4 | 6730 | 247 |
| 0 | 8369 | 227 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 -1/3)) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 (- x 1/3))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 -1/27)) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (- (pow x 3) 1/27))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 1/9)) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (+ 1/9 (* 1/3 x)))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (+ 1/9 (* x (+ 1/3 x))))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 1/9)) |
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 (+ 1/9 (* 1/3 x)))) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 x)) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (pow x 3))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3))))))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/3 (/ 1 x)))))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))))) |
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 (* 1/3 x))) |
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 (* x (+ 1/3 (* 1/9 (/ 1 x)))))) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1))))) |
| Outputs |
|---|
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 -1/3)) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(literal -1/3 binary64)) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 (- x 1/3))) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) (-.f64 x #s(literal 1/3 binary64))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 -1/27)) |
#s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (- (pow x 3) 1/27))) |
#s(approx (- (pow x 3) 1/27) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 1/9)) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(literal 1/9 binary64)) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (+ 1/9 (* 1/3 x)))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (+ 1/9 (* x (+ 1/3 x))))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))) |
#s(approx x #s(hole binary64 x)) |
#s(approx x x) |
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 1/9)) |
#s(approx (+ (* 1/3 x) 1/9) #s(literal 1/9 binary64)) |
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 (+ 1/9 (* 1/3 x)))) |
#s(approx (+ (* 1/3 x) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 x)) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) x) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) (-.f64 x #s(literal 1/3 binary64))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (pow x 3))) |
#s(approx (- (pow x 3) 1/27) (pow.f64 x #s(literal 3 binary64))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3))))))) |
#s(approx (- (pow x 3) 1/27) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (*.f64 x x)) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/3 (/ 1 x)))))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) x)) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))) |
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 (* 1/3 x))) |
#s(approx (+ (* 1/3 x) 1/9) (*.f64 #s(literal 1/3 binary64) x)) |
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 (* x (+ 1/3 (* 1/9 (/ 1 x)))))) |
#s(approx (+ (* 1/3 x) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) (-.f64 x #s(literal 1/3 binary64))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1))))) |
#s(approx (- (pow x 3) 1/27) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 37 |
| 0 | 17 | 37 |
| 1 | 79 | 37 |
| 0 | 623 | 35 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) |
#s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) |
#s(literal -1/27 binary64) |
(fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
x |
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) |
#s(literal 1/3 binary64) |
#s(literal 1/9 binary64) |
| Outputs |
|---|
(*.f64 (/.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) |
(*.f64 (/.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (-.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (neg.f64 (neg.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))) |
(/.f64 (neg.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64))) (neg.f64 (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(/.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) |
(neg.f64 (/.f64 (neg.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64))) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) |
(neg.f64 (/.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) (neg.f64 (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))) |
#s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) |
#s(literal -1/27 binary64) |
(/.f64 (-.f64 (*.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(literal 1/81 binary64)) (-.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal 1/9 binary64))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 x x))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal 3 binary64)) #s(literal 1/729 binary64)) (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal 1/9 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (-.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (-.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
(fma.f64 (neg.f64 x) (neg.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
(fma.f64 (fabs.f64 x) (fabs.f64 x) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
(fma.f64 #s(literal 1/3 binary64) x (+.f64 #s(literal 1/9 binary64) (*.f64 x x))) |
(fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) |
(fma.f64 x #s(literal 1/3 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x x))) |
(fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))) |
(-.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))) |
(-.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x))) |
(-.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 (neg.f64 x) x)) |
(-.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 x (neg.f64 x))) |
(+.f64 (fma.f64 x x #s(literal 1/9 binary64)) (*.f64 #s(literal 1/3 binary64) x)) |
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (-.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (-.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) |
(+.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal 1/9 binary64)) |
(+.f64 (*.f64 #s(literal 1/3 binary64) x) (+.f64 #s(literal 1/9 binary64) (*.f64 x x))) |
(+.f64 (*.f64 x x) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
(+.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (*.f64 x x)) |
(+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) |
x |
(/.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal 1/9 binary64))) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/81 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/729 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) (-.f64 #s(literal 1/81 binary64) (*.f64 x #s(literal 1/27 binary64)))))) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/81 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) |
(/.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/729 binary64)) (+.f64 #s(literal 1/81 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/27 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/729 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) (-.f64 #s(literal 1/81 binary64) (*.f64 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 (*.f64 x x) #s(literal 1/9 binary64)) (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (/.f64 #s(literal 1/81 binary64) (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))) |
(-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/3 binary64) x)) |
(-.f64 #s(literal 1/9 binary64) (*.f64 (neg.f64 x) #s(literal 1/3 binary64))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) (-.f64 #s(literal 1/81 binary64) (*.f64 x #s(literal 1/27 binary64))))) (/.f64 #s(literal 1/729 binary64) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) (-.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 1 565 to 247 computations (84.2% saved)
4 alts after pruning (1 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 73 | 1 | 74 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 3 | 3 |
| Total | 74 | 4 | 78 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 47.6% | (/.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) #s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) |
| ✓ | 100.0% | (-.f64 x #s(literal 1/3 binary64)) |
| ✓ | 53.2% | #s(approx (- x (/ 1 3)) x) |
| ✓ | 48.1% | #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
Compiled 39 to 34 computations (12.8% saved)
| Inputs |
|---|
(/.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) #s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) |
#s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) |
#s(literal -1/27 binary64) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) |
#s(literal 1/3 binary64) |
x |
#s(literal 1/9 binary64) |
| Outputs |
|---|
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 -1/3)) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 (- x 1/3))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 -1/27)) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (- (pow x 3) 1/27))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 1/9)) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (+ 1/9 (* 1/3 x)))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (+ 1/9 (* x (+ 1/3 x))))) |
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 1/9)) |
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 (+ 1/9 (* 1/3 x)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 x)) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (pow x 3))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3))))))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/3 (/ 1 x)))))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))))) |
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 (* 1/3 x))) |
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 (* x (+ 1/3 (* 1/9 (/ 1 x)))))) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) (- (pow x 3) 1/27) -1/27 (+ (* x x) (+ (* 1/3 x) 1/9)) (+ (* 1/3 x) 1/9) 1/3 x 1/9) |
| 1.0ms | x | @ | inf | ((/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) (- (pow x 3) 1/27) -1/27 (+ (* x x) (+ (* 1/3 x) 1/9)) (+ (* 1/3 x) 1/9) 1/3 x 1/9) |
| 1.0ms | x | @ | 0 | ((/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) (- (pow x 3) 1/27) -1/27 (+ (* x x) (+ (* 1/3 x) 1/9)) (+ (* 1/3 x) 1/9) 1/3 x 1/9) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 273 |
| 1 | 152 | 251 |
| 2 | 481 | 247 |
| 3 | 2293 | 247 |
| 4 | 6730 | 247 |
| 0 | 8369 | 227 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 -1/3)) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 (- x 1/3))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 -1/27)) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (- (pow x 3) 1/27))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 1/9)) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (+ 1/9 (* 1/3 x)))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (+ 1/9 (* x (+ 1/3 x))))) |
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 1/9)) |
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 (+ 1/9 (* 1/3 x)))) |
#s(approx x #s(hole binary64 x)) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 x)) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (pow x 3))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3))))))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/3 (/ 1 x)))))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))))) |
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 (* 1/3 x))) |
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 (* x (+ 1/3 (* 1/9 (/ 1 x)))))) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1))))) |
| Outputs |
|---|
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 -1/3)) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(literal -1/3 binary64)) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 (- x 1/3))) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) (-.f64 x #s(literal 1/3 binary64))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 -1/27)) |
#s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (- (pow x 3) 1/27))) |
#s(approx (- (pow x 3) 1/27) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 1/9)) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(literal 1/9 binary64)) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (+ 1/9 (* 1/3 x)))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (+ 1/9 (* x (+ 1/3 x))))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))) |
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 1/9)) |
#s(approx (+ (* 1/3 x) 1/9) #s(literal 1/9 binary64)) |
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 (+ 1/9 (* 1/3 x)))) |
#s(approx (+ (* 1/3 x) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
#s(approx x #s(hole binary64 x)) |
#s(approx x x) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 x)) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) x) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x)))))) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) (-.f64 x #s(literal 1/3 binary64))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (pow x 3))) |
#s(approx (- (pow x 3) 1/27) (pow.f64 x #s(literal 3 binary64))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3))))))) |
#s(approx (- (pow x 3) 1/27) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (pow x 2))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (*.f64 x x)) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (* (pow x 2) (+ 1 (* 1/3 (/ 1 x)))))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (*.f64 (-.f64 x #s(literal -1/3 binary64)) x)) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) #s(hole binary64 (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))))) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (fma.f64 (-.f64 x #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))) |
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 (* 1/3 x))) |
#s(approx (+ (* 1/3 x) 1/9) (*.f64 #s(literal 1/3 binary64) x)) |
#s(approx (+ (* 1/3 x) 1/9) #s(hole binary64 (* x (+ 1/3 (* 1/9 (/ 1 x)))))) |
#s(approx (+ (* 1/3 x) 1/9) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1))))) |
#s(approx (/ (- (pow x 3) 1/27) (+ (* x x) (+ (* 1/3 x) 1/9))) (-.f64 x #s(literal 1/3 binary64))) |
#s(approx (- (pow x 3) 1/27) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1))))) |
#s(approx (- (pow x 3) 1/27) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 49 |
| 0 | 18 | 49 |
| 1 | 80 | 47 |
| 0 | 613 | 45 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) #s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) |
#s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) |
#s(literal -1/27 binary64) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) |
#s(literal 1/3 binary64) |
x |
#s(literal 1/9 binary64) |
| Outputs |
|---|
(/.f64 (neg.f64 (neg.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)))) (neg.f64 (neg.f64 #s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))))) |
(/.f64 (neg.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64))) (neg.f64 #s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))) |
(/.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) #s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) |
(neg.f64 (/.f64 (neg.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64))) #s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))) |
(neg.f64 (/.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) (neg.f64 #s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))))) |
#s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) |
#s(literal -1/27 binary64) |
#s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))) |
(/.f64 (-.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 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1/729 binary64))) (neg.f64 (fma.f64 #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)) (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) |
(/.f64 (fma.f64 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 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 #s(literal 1/27 binary64) (pow.f64 x #s(literal 3 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)) (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (/.f64 #s(literal 1/81 binary64) (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))) |
(-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/3 binary64) x)) |
(-.f64 #s(literal 1/9 binary64) (*.f64 (neg.f64 x) #s(literal 1/3 binary64))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/27 binary64) (pow.f64 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 #s(literal 1/9 binary64) (*.f64 #s(literal 1/3 binary64) x)) |
(+.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) |
#s(literal 1/3 binary64) |
x |
#s(literal 1/9 binary64) |
Compiled 968 to 133 computations (86.3% saved)
4 alts after pruning (0 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 38 | 0 | 38 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 3 | 3 |
| Total | 38 | 4 | 42 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 47.6% | (/.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) #s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) |
| ✓ | 100.0% | (-.f64 x #s(literal 1/3 binary64)) |
| ✓ | 53.2% | #s(approx (- x (/ 1 3)) x) |
| ✓ | 48.1% | #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
Compiled 111 to 69 computations (37.8% saved)
| Inputs |
|---|
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
#s(approx (- x (/ 1 3)) x) |
(-.f64 x #s(literal 1/3 binary64)) |
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
(/.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) #s(approx (+ (* x x) (+ (* 1/3 x) 1/9)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) |
(/.f64 #s(approx (- (pow x 3) 1/27) #s(literal -1/27 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/27 binary64)) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)))) |
| Outputs |
|---|
(-.f64 x #s(literal 1/3 binary64)) |
2 calls:
| 34.0ms | (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| 100.0% | 1 | x |
Compiled 6 to 6 computations (0% saved)
| Inputs |
|---|
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
#s(approx (- x (/ 1 3)) x) |
| Outputs |
|---|
#s(approx (- x (/ 1 3)) x) |
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
#s(approx (- x (/ 1 3)) x) |
2 calls:
| 1.0ms | x |
| 1.0ms | (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.8% | 3 | (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| 97.8% | 3 | x |
Compiled 6 to 6 computations (0% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
| Outputs |
|---|
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
2 calls:
| 1.0ms | x |
| 1.0ms | (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.1% | 1 | (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) |
| 48.1% | 1 | x |
Compiled 6 to 6 computations (0% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 2.218596813098147e-14 | 2.4757361783022342 |
| 11.0ms | -5435.1385423780885 | -3.288414224135621e-8 |
| 11.0ms | 320× | 0 | valid |
Compiled 288 to 309 computations (-7.3% saved)
ival-div: 3.0ms (62.1% of total)ival-sub: 2.0ms (41.4% 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 | 16 | 27 |
| 1 | 23 | 27 |
| 2 | 30 | 27 |
| 3 | 46 | 27 |
| 4 | 86 | 27 |
| 5 | 332 | 27 |
| 6 | 3174 | 27 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 x #s(literal 1/3 binary64)) |
(if (<=.f64 x #s(literal -6124895493223875/18014398509481984 binary64)) #s(approx (- x (/ 1 3)) x) (if (<=.f64 x #s(literal 6124895493223875/18014398509481984 binary64)) #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) #s(approx (- x (/ 1 3)) x))) |
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
| Outputs |
|---|
(-.f64 x #s(literal 1/3 binary64)) |
(if (<=.f64 x #s(literal -6124895493223875/18014398509481984 binary64)) #s(approx (- x (/ 1 3)) x) (if (<=.f64 x #s(literal 6124895493223875/18014398509481984 binary64)) #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) #s(approx (- x (/ 1 3)) x))) |
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) |
| 1× | done |
Compiled 39 to 16 computations (59% saved)
Compiled 88 to 42 computations (52.3% saved)
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