
Time bar (total: 5.5s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 25% | 75% | 0% | 0% | 0% | 0 |
| 100% | 25% | 0% | 75% | 0% | 0% | 0% | 1 |
Compiled 17 to 10 computations (41.2% saved)
| 694.0ms | 8 256× | 0 | valid |
ival-mult: 194.0ms (43.9% of total)ival-add: 123.0ms (27.8% of total)ival-<=: 102.0ms (23.1% of total)ival-and: 10.0ms (2.3% of total)exact: 10.0ms (2.3% of total)ival-assert: 3.0ms (0.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
| 0 | 0 | - | 0 | - | (*.f64 x (*.f64 x x)) |
| 0 | 0 | - | 0 | - | (*.f64 x x) |
| 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 |
| 20.0ms | 512× | 0 | valid |
Compiled 85 to 24 computations (71.8% saved)
ival-mult: 7.0ms (73.5% of total)ival-add: 2.0ms (21% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 17 |
| 1 | 31 | 14 |
| 2 | 113 | 14 |
| 3 | 309 | 14 |
| 4 | 418 | 14 |
| 5 | 422 | 14 |
| 0 | 4 | 9 |
| 0 | 7 | 7 |
| 1 | 16 | 7 |
| 2 | 24 | 7 |
| 3 | 33 | 7 |
| 4 | 41 | 7 |
| 5 | 51 | 7 |
| 6 | 54 | 7 |
| 0 | 54 | 6 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
| Outputs |
|---|
(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
(fma.f64 x x (pow.f64 x #s(literal 3 binary64))) |
Compiled 9 to 4 computations (55.6% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
Compiled 9 to 4 computations (55.6% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | -5824 | (*.f64 x (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 128 | (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 18 |
| 0 | 7 | 14 |
| 1 | 16 | 14 |
| 2 | 24 | 14 |
| 3 | 33 | 14 |
| 4 | 41 | 14 |
| 5 | 51 | 14 |
| 6 | 54 | 14 |
| 0 | 54 | 13 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
| Outputs |
|---|
(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
(fma.f64 x x (pow.f64 x #s(literal 3 binary64))) |
(*.f64 x (*.f64 x x)) |
(pow.f64 x #s(literal 3 binary64)) |
x |
(*.f64 x x) |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.0234375 | (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) | |
| accuracy | 0.09375 | (*.f64 x (*.f64 x x)) |
| 30.0ms | 256× | 0 | valid |
Compiled 38 to 10 computations (73.7% saved)
ival-mult: 23.0ms (95.3% of total)ival-add: 1.0ms (4.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
(*.f64 x x) |
(*.f64 x (*.f64 x x)) |
| Outputs |
|---|
(pow x 2) |
(* (pow x 2) (+ 1 x)) |
(pow x 3) |
(* (pow x 3) (+ 1 (/ 1 x))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((+ (* x (* x x)) (* x x)) (* x x) (* x (* x x))) |
| 1.0ms | x | @ | inf | ((+ (* x (* x x)) (* x x)) (* x x) (* x (* x x))) |
| 1.0ms | x | @ | 0 | ((+ (* x (* x x)) (* x x)) (* x x) (* x (* x x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 20 |
| 1 | 30 | 20 |
| 2 | 64 | 20 |
| 3 | 103 | 20 |
| 4 | 286 | 20 |
| 5 | 1326 | 20 |
| 6 | 2335 | 20 |
| 7 | 3183 | 20 |
| 8 | 3904 | 20 |
| 9 | 4731 | 20 |
| 10 | 5074 | 20 |
| 11 | 5337 | 20 |
| 12 | 5549 | 20 |
| 13 | 5769 | 20 |
| 14 | 5852 | 20 |
| 15 | 6642 | 20 |
| 16 | 7744 | 20 |
| 0 | 8032 | 18 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow x 2) |
(* (pow x 2) (+ 1 x)) |
(pow x 3) |
(* (pow x 3) (+ 1 (/ 1 x))) |
| Outputs |
|---|
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 x)) |
(*.f64 (fma.f64 x x x) x) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(*.f64 (fma.f64 x x x) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 17 |
| 0 | 7 | 13 |
| 1 | 30 | 13 |
| 2 | 199 | 13 |
| 3 | 1768 | 13 |
| 0 | 8450 | 12 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
(*.f64 x x) |
(*.f64 x (*.f64 x x)) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) x) x) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 8 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) x) x) (-.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 x #s(literal 12 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 12 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 x #s(literal 12 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 x #s(literal 27 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 x #s(literal 12 binary64))) (pow.f64 x #s(literal 15 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 x (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 (*.f64 x x) x) (*.f64 (-.f64 (*.f64 x x) x) x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64))) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64))) (+.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 18 binary64)))) (fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (-.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 12 binary64)))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 (*.f64 x x) x) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x x)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) x) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) x) (pow.f64 (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 8 binary64))) (pow.f64 (*.f64 (-.f64 (*.f64 x x) x) x) #s(literal -1 binary64))) (pow.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 x #s(literal 12 binary64))) (pow.f64 (*.f64 (-.f64 (*.f64 x x) x) x) #s(literal -1 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 12 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 x #s(literal 12 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64))) (pow.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 x #s(literal 27 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64))) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 x #s(literal 12 binary64))) (pow.f64 x #s(literal 15 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (pow.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 x (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x))) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal -1 binary64))) |
(*.f64 (*.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 x x) x)) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x x) x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 x x) x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x x) x))))) |
(*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 15 binary64)) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 x x) x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x x) x)) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 x x) x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x x) x))))))) |
(*.f64 (/.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) x) (/.f64 (*.f64 (-.f64 (*.f64 x x) x) x) (-.f64 (*.f64 x x) x))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (-.f64 x (*.f64 x x)))))) |
(*.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 (*.f64 (-.f64 (*.f64 x x) x) x) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64))))) (pow.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 8 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (-.f64 (*.f64 x x) x) x)))) |
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 x #s(literal 12 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 12 binary64))) (*.f64 (-.f64 (*.f64 x x) x) x)))) |
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 x #s(literal 12 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64)))))) |
(*.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 x #s(literal 27 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 x #s(literal 12 binary64))) (pow.f64 x #s(literal 15 binary64))) (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64)))))) |
(*.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.f64 (*.f64 x x) x) x)) (*.f64 (*.f64 (-.f64 (*.f64 x x) x) x) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 (*.f64 x x) x) x) #s(literal 2 binary64)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (*.f64 x x) x) x) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64)))))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 x #s(literal 12 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 (*.f64 x x) x) x) (+.f64 (+.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 12 binary64)))))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 x #s(literal 12 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 6 binary64)))))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 x (-.f64 x (*.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x x) x) x) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (pow.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64)))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 x #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 x #s(literal 12 binary64))) (pow.f64 x #s(literal 15 binary64)))))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (*.f64 (neg.f64 x) (-.f64 (*.f64 x x) x)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64)))) (pow.f64 (neg.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64))) |
(*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) |
(*.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (fma.f64 x x x) x) |
(*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 (-.f64 (*.f64 x x) x) x) #s(literal -1 binary64))) |
(*.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) (/.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) (/.f64 (*.f64 (-.f64 (*.f64 x x) x) x) (*.f64 (-.f64 (*.f64 x x) x) x))) |
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(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.f64 (*.f64 x x) x) x)) (pow.f64 (*.f64 (-.f64 (*.f64 x x) x) x) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 x x) x) x) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 (-.f64 (*.f64 x x) x) x) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 x x) x) x) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))))) (/.f64 (pow.f64 x #s(literal 8 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 x x) x) x) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64)))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 18 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 x x) x) x) (+.f64 (+.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 12 binary64))))) (/.f64 (pow.f64 x #s(literal 12 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 x x) x) x) (+.f64 (+.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 12 binary64)))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 18 binary64)) (*.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 6 binary64))))) (/.f64 (pow.f64 x #s(literal 12 binary64)) (*.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 6 binary64)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))))) (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64))) (neg.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64)))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (-.f64 (*.f64 x x) x) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (-.f64 (*.f64 x x) x) x))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 12 binary64)))) (*.f64 (-.f64 (*.f64 x x) x) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 12 binary64)))) (*.f64 (-.f64 (*.f64 x x) x) x))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 18 binary64)) (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (-.f64 (*.f64 x x) x))) (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (neg.f64 x) (-.f64 (*.f64 x x) x)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 x x)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 x (-.f64 x (*.f64 x x))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 x x) x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x x) x))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 x x) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x x) x)))) |
(+.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x)) |
(+.f64 (*.f64 x x) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(/.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 (pow.f64 x #s(literal 3 binary64)) x) |
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) (log.f64 x))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) |
(*.f64 (*.f64 x x) x) |
(*.f64 x (*.f64 x x)) |
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 x)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3/4 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
(/.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (pow.f64 x #s(literal 4 binary64)) x) |
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)) (log.f64 x))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
Compiled 6 119 to 690 computations (88.7% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 253 | 6 | 259 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 254 | 6 | 260 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (fma.f64 (*.f64 x x) x (*.f64 x x)) |
| ▶ | 100.0% | (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)) (-.f64 x #s(literal 1 binary64))) |
| 98.2% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)))) | |
| ▶ | 100.0% | (*.f64 (fma.f64 x x x) x) |
| ▶ | 100.0% | (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) |
| ▶ | 96.9% | #s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) |
Compiled 120 to 68 computations (43.3% saved)
| 1× | egg-herbie |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 x x #s(literal -1 binary64)) | |
| cost-diff | 1024 | (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)) (-.f64 x #s(literal 1 binary64))) | |
| cost-diff | -6016 | (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) x) | |
| cost-diff | -6144 | (*.f64 (fma.f64 x x x) x) | |
| cost-diff | 0 | (fma.f64 x x x) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | #s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) | |
| cost-diff | -5824 | (fma.f64 (*.f64 x x) x (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 x x) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 88 |
| 0 | 29 | 76 |
| 1 | 52 | 76 |
| 2 | 91 | 76 |
| 3 | 217 | 75 |
| 4 | 625 | 75 |
| 5 | 3039 | 75 |
| 6 | 7270 | 75 |
| 0 | 8262 | 75 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 x x) x (*.f64 x x)) |
(*.f64 x x) |
x |
#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) |
(*.f64 x x) |
x |
(*.f64 (fma.f64 x x x) x) |
(fma.f64 x x x) |
x |
(*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(*.f64 x x) |
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)) (-.f64 x #s(literal 1 binary64))) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)) |
(fma.f64 x x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
(*.f64 x x) |
(-.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| Outputs |
|---|
(fma.f64 (*.f64 x x) x (*.f64 x x)) |
(fma.f64 x x (pow.f64 x #s(literal 3 binary64))) |
(*.f64 x x) |
x |
#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) |
(*.f64 x x) |
x |
(*.f64 (fma.f64 x x x) x) |
(fma.f64 x x (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 x x x) |
x |
(*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) |
(fma.f64 x x (pow.f64 x #s(literal 3 binary64))) |
(+.f64 #s(literal 1 binary64) x) |
(-.f64 x #s(literal -1 binary64)) |
#s(literal 1 binary64) |
x |
(*.f64 x x) |
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)) (-.f64 x #s(literal 1 binary64))) |
(fma.f64 x x (pow.f64 x #s(literal 3 binary64))) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) x) |
(fma.f64 x x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
(*.f64 x x) |
(-.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 x #s(literal 1 binary64)) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.01171875 | (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)) | |
| accuracy | 0.01953125 | (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)) (-.f64 x #s(literal 1 binary64))) | |
| accuracy | 0 | (+.f64 #s(literal 1 binary64) x) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.03125 | (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) | |
| accuracy | 0 | (fma.f64 x x x) | |
| accuracy | 0.03125 | (*.f64 (fma.f64 x x x) x) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 1.9923682241749963 | #s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.0234375 | (fma.f64 (*.f64 x x) x (*.f64 x x)) |
| 135.0ms | 256× | 0 | valid |
Compiled 180 to 35 computations (80.6% saved)
ival-mult: 55.0ms (86% of total)ival-add: 5.0ms (7.8% of total)ival-div: 2.0ms (3.1% of total)ival-sub: 1.0ms (1.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 x x) |
(fma.f64 (*.f64 x x) x (*.f64 x x)) |
#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) |
(fma.f64 x x x) |
(*.f64 (fma.f64 x x x) x) |
(+.f64 #s(literal 1 binary64) x) |
(*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) |
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)) (-.f64 x #s(literal 1 binary64))) |
(fma.f64 x x #s(literal -1 binary64)) |
(-.f64 x #s(literal 1 binary64)) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)) |
| Outputs |
|---|
(pow x 2) |
(* (pow x 2) (+ 1 x)) |
x |
(* x (+ 1 x)) |
1 |
(+ 1 x) |
-1 |
(- (pow x 2) 1) |
(- x 1) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (pow x 2) 1)) |
(pow x 3) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* x (- 1 (/ 1 x))) |
(pow x 4) |
(* (pow x 4) (- 1 (/ 1 (pow x 2)))) |
(* -1 (* x (- (/ 1 x) 1))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 16.0ms | x | @ | -inf | ((* x x) (+ (* (* x x) x) (* x x)) (+ (* x (* x x)) (* x x)) (+ (* x x) x) (* (+ (* x x) x) x) (+ 1 x) (* (+ 1 x) (* x x)) (/ (* (+ (* x x) -1) (* x x)) (- x 1)) (+ (* x x) -1) (- x 1) (* (+ (* x x) -1) (* x x))) |
| 2.0ms | x | @ | inf | ((* x x) (+ (* (* x x) x) (* x x)) (+ (* x (* x x)) (* x x)) (+ (* x x) x) (* (+ (* x x) x) x) (+ 1 x) (* (+ 1 x) (* x x)) (/ (* (+ (* x x) -1) (* x x)) (- x 1)) (+ (* x x) -1) (- x 1) (* (+ (* x x) -1) (* x x))) |
| 1.0ms | x | @ | 0 | ((* x x) (+ (* (* x x) x) (* x x)) (+ (* x (* x x)) (* x x)) (+ (* x x) x) (* (+ (* x x) x) x) (+ 1 x) (* (+ 1 x) (* x x)) (/ (* (+ (* x x) -1) (* x x)) (- x 1)) (+ (* x x) -1) (- x 1) (* (+ (* x x) -1) (* x x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 83 |
| 1 | 83 | 83 |
| 2 | 164 | 79 |
| 3 | 615 | 79 |
| 4 | 2345 | 79 |
| 5 | 6306 | 79 |
| 0 | 8278 | 73 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow x 2) |
(* (pow x 2) (+ 1 x)) |
x |
(* x (+ 1 x)) |
1 |
(+ 1 x) |
-1 |
(- (pow x 2) 1) |
(- x 1) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (pow x 2) 1)) |
(pow x 3) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(* x (- 1 (/ 1 x))) |
(pow x 4) |
(* (pow x 4) (- 1 (/ 1 (pow x 2)))) |
(* -1 (* x (- (/ 1 x) 1))) |
| Outputs |
|---|
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 x)) |
(fma.f64 x x (pow.f64 x #s(literal 3 binary64))) |
x |
(* x (+ 1 x)) |
(fma.f64 x x x) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(-.f64 x #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (pow x 2) 1) |
(fma.f64 x x #s(literal -1 binary64)) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* (pow x 2) (- (pow x 2) 1)) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) x) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(fma.f64 x x (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(* x (+ 1 (/ 1 x))) |
(-.f64 x #s(literal -1 binary64)) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal -1 binary64)) |
(* x (- 1 (/ 1 x))) |
(-.f64 x #s(literal 1 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(* (pow x 4) (- 1 (/ 1 (pow x 2)))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) x) |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 71 |
| 0 | 29 | 59 |
| 1 | 107 | 59 |
| 2 | 729 | 58 |
| 0 | 8901 | 58 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x x) |
(fma.f64 (*.f64 x x) x (*.f64 x x)) |
#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) |
(fma.f64 x x x) |
(*.f64 (fma.f64 x x x) x) |
(+.f64 #s(literal 1 binary64) x) |
(*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) |
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)) (-.f64 x #s(literal 1 binary64))) |
(fma.f64 x x #s(literal -1 binary64)) |
(-.f64 x #s(literal 1 binary64)) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)) |
| Outputs |
|---|
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x)) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x (neg.f64 (neg.f64 x))) |
(*.f64 x x) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(*.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) x) x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64)))) (fma.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)) x)) |
(*.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) x) x) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 (fma.f64 x x #s(literal -1 binary64)) x)))) |
(*.f64 (/.f64 (*.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) x) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) |
(*.f64 (/.f64 (*.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) x) (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x))) (fma.f64 x x x)) |
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(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64))) (-.f64 x #s(literal 1 binary64))) (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64)))) |
(/.f64 (*.f64 (*.f64 x (-.f64 x (pow.f64 x #s(literal 3 binary64)))) (-.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) x) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
(/.f64 (*.f64 (*.f64 x (-.f64 x (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (*.f64 x (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (neg.f64 (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))))) |
(/.f64 (*.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 x x)) (-.f64 #s(literal -1 binary64) (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 x x)) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 (*.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) |
(/.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 x #s(literal 1 binary64)))) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
(/.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal -1 binary64) (*.f64 x x))) |
(/.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) |
(/.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) |
(/.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x #s(literal -1 binary64)))) (*.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 x (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) x)) (fma.f64 x x #s(literal 1 binary64))) |
(/.f64 (*.f64 x (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (*.f64 (fma.f64 x x x) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) |
(/.f64 (*.f64 (fma.f64 x x x) (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x))) (fma.f64 x x x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) x)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 8 binary64))) (-.f64 (*.f64 (neg.f64 x) x) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64) (pow.f64 x #s(literal 12 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x))) (neg.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 8 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) x) x)) (neg.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) x) x)) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (*.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) x)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (fma.f64 x x x)) (-.f64 x #s(literal -1 binary64))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x)) (fma.f64 x x #s(literal 1 binary64))) |
(/.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 8 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 x x))) |
(/.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 8 binary64))) (*.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) |
(/.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 8 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) x))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64)))) |
(/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) x) x) (fma.f64 x x #s(literal 1 binary64))) |
(/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) x) x) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 x x))) |
(/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) x) x) (*.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) |
(/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) x) x) (+.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x x x))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 8 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) x) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64)))) (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) x) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) x)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 6 binary64))))) |
(/.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/.f64 (*.f64 x x) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(neg.f64 (*.f64 x (-.f64 x (pow.f64 x #s(literal 3 binary64))))) |
(fma.f64 (*.f64 x (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (neg.f64 x) x)) |
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) x) (*.f64 (neg.f64 x) x)) |
(fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64))) |
(fma.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64) (*.f64 (neg.f64 x) x)) |
(fma.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (neg.f64 x) (*.f64 (neg.f64 x) x)) |
(fma.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) x)) |
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (neg.f64 x) x)) |
(fma.f64 #s(literal -1 binary64) (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) (*.f64 x (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) |
(fma.f64 #s(literal -1 binary64) (*.f64 x x) (pow.f64 x #s(literal 4 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x) (pow.f64 x #s(literal 4 binary64))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 x) x)) |
(fma.f64 (fma.f64 x x x) (*.f64 x x) (*.f64 (fma.f64 x x x) (neg.f64 x))) |
(fma.f64 (fma.f64 x x x) (*.f64 x x) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (*.f64 x x))) |
(fma.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (*.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) x)) |
(fma.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) x (*.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) x (*.f64 (neg.f64 x) x)) |
(fma.f64 (*.f64 x x) #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 x x x) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) |
(fma.f64 (*.f64 x x) (fma.f64 x x x) (*.f64 (neg.f64 x) (fma.f64 x x x))) |
(fma.f64 (*.f64 x x) (*.f64 x x) (*.f64 (neg.f64 x) x)) |
(fma.f64 x (*.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)) (*.f64 (neg.f64 x) x)) |
(fma.f64 x (neg.f64 x) (pow.f64 x #s(literal 4 binary64))) |
(fma.f64 x (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) |
(fma.f64 x (pow.f64 x #s(literal 3 binary64)) (*.f64 (neg.f64 x) x)) |
(-.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (*.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) x)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 6 binary64))))) |
(-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)) |
(-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 x (pow.f64 x #s(literal 3 binary64))))) |
(+.f64 (*.f64 x (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal -1 binary64) (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) |
(+.f64 (*.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) x)) |
(+.f64 (*.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) x) (*.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 x x) (fma.f64 x x x)) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) |
(+.f64 (*.f64 (*.f64 x x) (fma.f64 x x x)) (*.f64 (neg.f64 x) (fma.f64 x x x))) |
(+.f64 (*.f64 (fma.f64 x x x) (*.f64 x x)) (*.f64 (fma.f64 x x x) (neg.f64 x))) |
(+.f64 (*.f64 (fma.f64 x x x) (*.f64 x x)) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (*.f64 x x))) |
(+.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))) (*.f64 x (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) |
(+.f64 (*.f64 (neg.f64 x) x) (pow.f64 x #s(literal 4 binary64))) |
(+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 x) x)) |
Compiled 26 867 to 3 332 computations (87.6% saved)
6 alts after pruning (2 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 223 | 1 | 1 224 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 224 | 6 | 1 230 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (fma.f64 (*.f64 x x) x (*.f64 x x)) |
| ▶ | 98.2% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)))) |
| ✓ | 100.0% | (*.f64 (fma.f64 x x x) x) |
| ▶ | 100.0% | (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))))) |
| ✓ | 100.0% | (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) |
| ✓ | 96.9% | #s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) |
Compiled 60 to 34 computations (43.3% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 x x #s(literal -1 binary64)) | |
| cost-diff | 0 | (-.f64 x #s(literal 1 binary64)) | |
| cost-diff | 1792 | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)))) | |
| cost-diff | 6080 | (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x))) | |
| cost-diff | 0 | (/.f64 x (-.f64 x #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) | |
| cost-diff | 0 | (fma.f64 x x #s(literal -1 binary64)) | |
| cost-diff | 1216 | (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 81 |
| 0 | 21 | 79 |
| 1 | 42 | 79 |
| 2 | 120 | 79 |
| 3 | 508 | 66 |
| 4 | 1988 | 65 |
| 5 | 5024 | 65 |
| 0 | 8278 | 62 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))))) |
(fma.f64 x x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
(*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) |
(/.f64 x (-.f64 x #s(literal 1 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)))) |
#s(literal 1 binary64) |
(/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x))) |
(-.f64 x #s(literal 1 binary64)) |
x |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)) |
(fma.f64 x x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(*.f64 x x) |
| Outputs |
|---|
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))))) |
(*.f64 (fma.f64 x x x) x) |
(fma.f64 x x #s(literal -1 binary64)) |
x |
#s(literal -1 binary64) |
(*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) x) |
(/.f64 x (-.f64 x #s(literal 1 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)))) |
(*.f64 (fma.f64 x x x) x) |
#s(literal 1 binary64) |
(/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x))) |
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)) x) |
(-.f64 x #s(literal 1 binary64)) |
x |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)) |
(fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64))) |
(fma.f64 x x #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(*.f64 x x) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.01171875 | (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)) | |
| accuracy | 0.12109375 | (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x))) | |
| accuracy | 1.1875565771482448 | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)))) | |
| accuracy | 0 | (-.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.0078125 | (/.f64 x (-.f64 x #s(literal 1 binary64))) | |
| accuracy | 0.01953125 | (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))))) | |
| accuracy | 0.0234375 | (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) |
| 25.0ms | 256× | 0 | valid |
Compiled 170 to 26 computations (84.7% saved)
ival-mult: 6.0ms (43.8% of total)ival-div: 5.0ms (36.5% of total)ival-sub: 1.0ms (7.3% of total)ival-add: 1.0ms (7.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))))) |
(fma.f64 x x #s(literal -1 binary64)) |
(*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) |
(/.f64 x (-.f64 x #s(literal 1 binary64))) |
(/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)))) |
(-.f64 x #s(literal 1 binary64)) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)) |
(*.f64 x x) |
| Outputs |
|---|
(pow x 2) |
(* (pow x 2) (+ 1 x)) |
-1 |
(- (pow x 2) 1) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (* -1 x) 1)) |
(* (pow x 2) (- (* x (- (* -1 x) 1)) 1)) |
(* (pow x 2) (- (* x (- (* x (- (* -1 x) 1)) 1)) 1)) |
(* -1 x) |
(* x (- (* -1 x) 1)) |
(* x (- (* x (- (* -1 x) 1)) 1)) |
(* x (- (* x (- (* x (- (* -1 x) 1)) 1)) 1)) |
(/ 1 (pow x 2)) |
(/ (+ 1 (* -1 x)) (pow x 2)) |
(/ (+ 1 (* x (- x 1))) (pow x 2)) |
(/ (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) (pow x 2)) |
(- x 1) |
(* (pow x 2) (- (pow x 2) 1)) |
(pow x 3) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))) |
(* x (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3)))))) |
1 |
(+ 1 (/ 1 x)) |
(+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) |
(+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) |
(/ 1 (pow x 3)) |
(/ (- 1 (/ 1 x)) (pow x 3)) |
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) (pow x 3)) |
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) (pow x 3)) |
(* x (- 1 (/ 1 x))) |
(pow x 4) |
(* (pow x 4) (- 1 (/ 1 (pow x 2)))) |
(* -1 (* x (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1))) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))) |
(* -1 (/ (- (/ 1 x) 1) (pow x 3))) |
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 3))) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 3))) |
(* -1 (* x (- (/ 1 x) 1))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((* (+ (* x x) -1) (* x (/ x (- x 1)))) (+ (* x x) -1) (* x (/ x (- x 1))) (/ x (- x 1)) (/ (- x 1) (* (+ (* x x) -1) (* x x))) (/ 1 (/ (- x 1) (* (+ (* x x) -1) (* x x)))) (- x 1) (* (+ (* x x) -1) (* x x)) (* x x)) |
| 1.0ms | x | @ | -inf | ((* (+ (* x x) -1) (* x (/ x (- x 1)))) (+ (* x x) -1) (* x (/ x (- x 1))) (/ x (- x 1)) (/ (- x 1) (* (+ (* x x) -1) (* x x))) (/ 1 (/ (- x 1) (* (+ (* x x) -1) (* x x)))) (- x 1) (* (+ (* x x) -1) (* x x)) (* x x)) |
| 1.0ms | x | @ | 0 | ((* (+ (* x x) -1) (* x (/ x (- x 1)))) (+ (* x x) -1) (* x (/ x (- x 1))) (/ x (- x 1)) (/ (- x 1) (* (+ (* x x) -1) (* x x))) (/ 1 (/ (- x 1) (* (+ (* x x) -1) (* x x)))) (- x 1) (* (+ (* x x) -1) (* x x)) (* x x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 88 | 393 |
| 1 | 242 | 371 |
| 2 | 659 | 343 |
| 3 | 2693 | 319 |
| 4 | 7451 | 319 |
| 0 | 8138 | 311 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow x 2) |
(* (pow x 2) (+ 1 x)) |
-1 |
(- (pow x 2) 1) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (* -1 x) 1)) |
(* (pow x 2) (- (* x (- (* -1 x) 1)) 1)) |
(* (pow x 2) (- (* x (- (* x (- (* -1 x) 1)) 1)) 1)) |
(* -1 x) |
(* x (- (* -1 x) 1)) |
(* x (- (* x (- (* -1 x) 1)) 1)) |
(* x (- (* x (- (* x (- (* -1 x) 1)) 1)) 1)) |
(/ 1 (pow x 2)) |
(/ (+ 1 (* -1 x)) (pow x 2)) |
(/ (+ 1 (* x (- x 1))) (pow x 2)) |
(/ (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) (pow x 2)) |
(- x 1) |
(* (pow x 2) (- (pow x 2) 1)) |
(pow x 3) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))) |
(* x (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3)))))) |
1 |
(+ 1 (/ 1 x)) |
(+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) |
(+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) |
(/ 1 (pow x 3)) |
(/ (- 1 (/ 1 x)) (pow x 3)) |
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) (pow x 3)) |
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) (pow x 3)) |
(* x (- 1 (/ 1 x))) |
(pow x 4) |
(* (pow x 4) (- 1 (/ 1 (pow x 2)))) |
(* -1 (* x (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1))) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))) |
(* -1 (/ (- (/ 1 x) 1) (pow x 3))) |
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 3))) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 3))) |
(* -1 (* x (- (/ 1 x) 1))) |
| Outputs |
|---|
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 x)) |
(fma.f64 x x (pow.f64 x #s(literal 3 binary64))) |
-1 |
#s(literal -1 binary64) |
(- (pow x 2) 1) |
(fma.f64 x x #s(literal -1 binary64)) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* (pow x 2) (- (* -1 x) 1)) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) x) x) |
(* (pow x 2) (- (* x (- (* -1 x) 1)) 1)) |
(*.f64 (*.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)) x) x) |
(* (pow x 2) (- (* x (- (* x (- (* -1 x) 1)) 1)) 1)) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 (pow.f64 x #s(literal 3 binary64)) x)) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* -1 x) 1)) |
(*.f64 (-.f64 #s(literal -1 binary64) x) x) |
(* x (- (* x (- (* -1 x) 1)) 1)) |
(*.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)) x) |
(* x (- (* x (- (* x (- (* -1 x) 1)) 1)) 1)) |
(*.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 (pow.f64 x #s(literal 3 binary64)) x)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ (+ 1 (* -1 x)) (pow x 2)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (- x 1))) (pow x 2)) |
(/.f64 (/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) x) x) |
(/ (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) (pow x 2)) |
(/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (*.f64 x x)) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
(* (pow x 2) (- (pow x 2) 1)) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) x) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(fma.f64 x x (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal -1 binary64)) |
x |
(* x (+ 1 (/ 1 x))) |
(-.f64 x #s(literal -1 binary64)) |
(* x (+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))) |
(+.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x) |
(* x (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3)))))) |
(-.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ 1 x)) |
(/.f64 (-.f64 x #s(literal -1 binary64)) x) |
(+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) |
(/.f64 (+.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x) x) |
(+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x)) x)) |
(/ 1 (pow x 3)) |
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) |
(/ (- 1 (/ 1 x)) (pow x 3)) |
(/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) x) |
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) (pow x 3)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) (pow x 3)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* x (- 1 (/ 1 x))) |
(-.f64 x #s(literal 1 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(* (pow x 4) (- 1 (/ 1 (pow x 2)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(* -1 (* x (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1))) |
(+.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x) |
(* -1 (* x (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1))) |
(-.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x)) x)) |
(* -1 (/ (- (/ 1 x) 1) (pow x 3))) |
(/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) x) |
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 3))) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 3))) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 68 |
| 0 | 21 | 66 |
| 1 | 84 | 53 |
| 2 | 586 | 51 |
| 3 | 7623 | 51 |
| 0 | 8910 | 48 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))))) |
(fma.f64 x x #s(literal -1 binary64)) |
(*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) |
(/.f64 x (-.f64 x #s(literal 1 binary64))) |
(/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)))) |
(-.f64 x #s(literal 1 binary64)) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)) |
(*.f64 x x) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) x #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 8 binary64))) (-.f64 x #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 8 binary64))) (-.f64 x #s(literal 1 binary64))) (+.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (-.f64 #s(literal 1 binary64) x)) (neg.f64 x)) |
(*.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) #s(literal -1 binary64))) x) |
(*.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) (fma.f64 x x #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 x x) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64))) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x x))) x) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 x x)) (/.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 x #s(literal -1 binary64))))) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64))) #s(literal -3 binary64)))) (fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 x x)) (pow.f64 (pow.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal -1 binary64)) (-.f64 (*.f64 x x) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64)))) (*.f64 (neg.f64 x) x)) |
(*.f64 (/.f64 (*.f64 x x) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (neg.f64 x) x)) |
(*.f64 (*.f64 (*.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (fma.f64 x x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (fma.f64 x x x)) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) x)) x) |
(*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (neg.f64 x) x)) (fma.f64 x x #s(literal -1 binary64))) |
(*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) (neg.f64 x)) |
(*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 x x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) |
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(fma.f64 (neg.f64 (fma.f64 x x x)) x (*.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) x)) |
(fma.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (fma.f64 x x x)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (*.f64 x (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) |
(fma.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (fma.f64 x x x)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (*.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) x)) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))) (*.f64 x (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))) (*.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) x)) |
(fma.f64 (*.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (fma.f64 x x x)) (-.f64 #s(literal 1 binary64) x) (*.f64 x (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) |
(fma.f64 (*.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (fma.f64 x x x)) (-.f64 #s(literal 1 binary64) x) (*.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) x)) |
(fma.f64 (fma.f64 x x x) (neg.f64 x) (*.f64 x (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) |
(fma.f64 (fma.f64 x x x) (neg.f64 x) (*.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) x)) |
(fma.f64 (fma.f64 x x x) (*.f64 x x) (*.f64 (fma.f64 x x x) (neg.f64 x))) |
(fma.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) x) (fma.f64 x x #s(literal -1 binary64)) (*.f64 x (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) |
(fma.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) x) (fma.f64 x x #s(literal -1 binary64)) (*.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) x)) |
(fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (*.f64 x (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) |
(fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (*.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) x)) |
(fma.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) x) (/.f64 x (-.f64 x #s(literal 1 binary64))) (*.f64 x (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) |
(fma.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) x) (/.f64 x (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) x)) |
(fma.f64 (pow.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64))) (*.f64 x (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) |
(fma.f64 (pow.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64)) (neg.f64 (pow.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64))) (*.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) x)) |
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) x) (*.f64 (neg.f64 x) x)) |
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64))) (*.f64 x (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) |
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64))) (*.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) x)) |
(fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (fma.f64 x x x)) (*.f64 x (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) |
(fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (fma.f64 x x x)) (*.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) x)) |
(fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (*.f64 x x) (*.f64 x (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) |
(fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (*.f64 x x) (*.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) x)) |
(fma.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) x)) |
(fma.f64 (*.f64 (neg.f64 x) x) (-.f64 x #s(literal -1 binary64)) (*.f64 x (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) |
(fma.f64 (*.f64 (neg.f64 x) x) (-.f64 x #s(literal -1 binary64)) (*.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) x)) |
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) |
(fma.f64 (*.f64 (fma.f64 x x x) (neg.f64 x)) #s(literal 1 binary64) (*.f64 x (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) |
(fma.f64 (*.f64 (fma.f64 x x x) (neg.f64 x)) #s(literal 1 binary64) (*.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) x)) |
(fma.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (*.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) x) (*.f64 x (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) |
(fma.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (*.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) x) (*.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) x)) |
(fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (/.f64 x (-.f64 #s(literal 1 binary64) x)) (*.f64 x (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) |
(fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (/.f64 x (-.f64 #s(literal 1 binary64) x)) (*.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) x)) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) (neg.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (fma.f64 x x x))) (*.f64 x (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) (neg.f64 (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (fma.f64 x x x))) (*.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) x)) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 x) x) (*.f64 x (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) |
(fma.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 x) x) (*.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) x)) |
(fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 x x) (pow.f64 x #s(literal 4 binary64))) (*.f64 x (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) |
(fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 x x) (pow.f64 x #s(literal 4 binary64))) (*.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) x)) |
(fma.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (*.f64 x (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) |
(fma.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (*.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) x)) |
(fma.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) x (*.f64 (fma.f64 x x x) (neg.f64 x))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) x (*.f64 (neg.f64 x) x)) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) |
(fma.f64 (-.f64 (*.f64 x x) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 x (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) |
(fma.f64 (-.f64 (*.f64 x x) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) x)) |
(fma.f64 (neg.f64 x) (fma.f64 x x x) (*.f64 x (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) |
(fma.f64 (neg.f64 x) (fma.f64 x x x) (*.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) x)) |
(fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64))) |
(fma.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 x (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) |
(fma.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) x)) |
(fma.f64 (*.f64 x x) (fma.f64 x x x) (*.f64 (fma.f64 x x x) (neg.f64 x))) |
(fma.f64 (*.f64 x x) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (*.f64 x (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) |
(fma.f64 (*.f64 x x) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (*.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) x)) |
(fma.f64 (*.f64 x x) (*.f64 x x) (*.f64 (neg.f64 x) x)) |
(fma.f64 (*.f64 x x) #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) |
(fma.f64 (*.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) x) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (*.f64 x (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) |
(fma.f64 (*.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) x) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (*.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) x)) |
(fma.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) x) (*.f64 x (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) |
(fma.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) x) (*.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x) (pow.f64 x #s(literal 4 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x x) (neg.f64 x)) (*.f64 x (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x x) (neg.f64 x)) (*.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) x)) |
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 x) x)) |
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) x) (*.f64 x (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) |
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) x) (*.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) x)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) (*.f64 (neg.f64 x) x)) (*.f64 (neg.f64 x) x)) |
(fma.f64 #s(literal -1 binary64) (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) (*.f64 x (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) |
(fma.f64 #s(literal -1 binary64) (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) x)) |
(fma.f64 #s(literal -1 binary64) (*.f64 x x) (pow.f64 x #s(literal 4 binary64))) |
(fma.f64 x (*.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)) (*.f64 (neg.f64 x) x)) |
(fma.f64 x (neg.f64 (fma.f64 x x x)) (*.f64 x (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) |
(fma.f64 x (neg.f64 (fma.f64 x x x)) (*.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) x)) |
(fma.f64 x (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 x x x) (neg.f64 x))) |
(fma.f64 x (pow.f64 x #s(literal 3 binary64)) (*.f64 (neg.f64 x) x)) |
(fma.f64 x (neg.f64 x) (pow.f64 x #s(literal 4 binary64))) |
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (pow.f64 x #s(literal 4 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))) #s(literal -1 binary64))) |
(+.f64 (*.f64 x (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 x x x) (neg.f64 x))) |
(+.f64 (*.f64 (fma.f64 x x x) (*.f64 x x)) (*.f64 (fma.f64 x x x) (neg.f64 x))) |
(+.f64 (*.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) x) (*.f64 (fma.f64 x x x) (neg.f64 x))) |
(+.f64 (*.f64 (*.f64 x x) (fma.f64 x x x)) (*.f64 (fma.f64 x x x) (neg.f64 x))) |
(+.f64 (*.f64 (neg.f64 x) x) (pow.f64 x #s(literal 4 binary64))) |
(+.f64 (*.f64 (fma.f64 x x x) (neg.f64 x)) (*.f64 x (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) |
(+.f64 (*.f64 (fma.f64 x x x) (neg.f64 x)) (*.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) x)) |
(+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 x) x)) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x)) |
(*.f64 x x) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 x) x)) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
Compiled 38 368 to 4 729 computations (87.7% saved)
7 alts after pruning (2 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 645 | 2 | 1 647 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 4 | 4 |
| Total | 1 646 | 7 | 1 653 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (fma.f64 (*.f64 x x) x (*.f64 x x)) |
| ▶ | 97.0% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (*.f64 x x)))) |
| ✓ | 100.0% | (*.f64 (fma.f64 x x x) x) |
| ✓ | 100.0% | (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))))) |
| ✓ | 100.0% | (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) |
| ▶ | 98.7% | (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))))) |
| ✓ | 96.9% | #s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) |
Compiled 78 to 48 computations (38.5% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (+ (* x x) -1) #s(literal -1 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (*.f64 x x)) | |
| cost-diff | 0 | (-.f64 x #s(literal 1 binary64)) | |
| cost-diff | 1088 | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (*.f64 x x)))) | |
| cost-diff | 0 | (/.f64 x (-.f64 x #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) | |
| cost-diff | 0 | #s(approx (+ (* x x) -1) #s(literal -1 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 99 |
| 0 | 22 | 97 |
| 1 | 43 | 97 |
| 2 | 94 | 97 |
| 3 | 198 | 97 |
| 4 | 374 | 97 |
| 5 | 730 | 97 |
| 6 | 1647 | 97 |
| 7 | 4172 | 97 |
| 8 | 7642 | 97 |
| 0 | 8255 | 91 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))))) |
#s(approx (+ (* x x) -1) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) |
x |
(/.f64 x (-.f64 x #s(literal 1 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (*.f64 x x)))) |
#s(literal 1 binary64) |
(/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (*.f64 x x))) |
(-.f64 x #s(literal 1 binary64)) |
x |
(*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (*.f64 x x)) |
#s(approx (+ (* x x) -1) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(*.f64 x x) |
| Outputs |
|---|
(*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))))) |
(*.f64 (*.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) x) #s(approx (+ (* x x) -1) #s(literal -1 binary64))) |
#s(approx (+ (* x x) -1) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) x) |
x |
(/.f64 x (-.f64 x #s(literal 1 binary64))) |
(-.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (*.f64 x x)))) |
(*.f64 (*.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) x) #s(approx (+ (* x x) -1) #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x)) |
(-.f64 x #s(literal 1 binary64)) |
x |
(*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) x) |
#s(approx (+ (* x x) -1) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(*.f64 x x) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01171875 | (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (*.f64 x x)) | |
| accuracy | 0.12109375 | (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (*.f64 x x))) | |
| accuracy | 0.83571298175814 | #s(approx (+ (* x x) -1) #s(literal -1 binary64)) | |
| accuracy | 1.1875565771482448 | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (*.f64 x x)))) | |
| accuracy | 0.0078125 | (/.f64 x (-.f64 x #s(literal 1 binary64))) | |
| accuracy | 0.01953125 | (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))))) | |
| accuracy | 0.0234375 | (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) | |
| accuracy | 0.83571298175814 | #s(approx (+ (* x x) -1) #s(literal -1 binary64)) |
| 23.0ms | 256× | 0 | valid |
Compiled 188 to 29 computations (84.6% saved)
ival-mult: 6.0ms (43.7% of total)ival-div: 5.0ms (36.4% of total)ival-sub: 1.0ms (7.3% of total)ival-add: 1.0ms (7.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))))) |
#s(approx (+ (* x x) -1) #s(literal -1 binary64)) |
(*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) |
(/.f64 x (-.f64 x #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (*.f64 x x)))) |
(-.f64 x #s(literal 1 binary64)) |
(*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (*.f64 x x)) |
(/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (*.f64 x x))) |
| Outputs |
|---|
(pow x 2) |
(* (pow x 2) (+ 1 x)) |
-1 |
(- (pow x 2) 1) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (* -1 x) 1)) |
(* (pow x 2) (- (* x (- (* -1 x) 1)) 1)) |
(* (pow x 2) (- (* x (- (* x (- (* -1 x) 1)) 1)) 1)) |
(* -1 x) |
(* x (- (* -1 x) 1)) |
(* x (- (* x (- (* -1 x) 1)) 1)) |
(* x (- (* x (- (* x (- (* -1 x) 1)) 1)) 1)) |
(- x 1) |
(* (pow x 2) (- (pow x 2) 1)) |
(/ 1 (pow x 2)) |
(/ (+ 1 (* -1 x)) (pow x 2)) |
(/ (+ 1 (* x (- x 1))) (pow x 2)) |
(/ (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) (pow x 2)) |
(pow x 3) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))) |
(* x (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3)))))) |
1 |
(+ 1 (/ 1 x)) |
(+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) |
(+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) |
(* x (- 1 (/ 1 x))) |
(pow x 4) |
(* (pow x 4) (- 1 (/ 1 (pow x 2)))) |
(/ 1 (pow x 3)) |
(/ (- 1 (/ 1 x)) (pow x 3)) |
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) (pow x 3)) |
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) (pow x 3)) |
(* -1 (* x (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1))) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (/ (- (/ 1 x) 1) (pow x 3))) |
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 3))) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 3))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | ((* (+ (* x x) -1) (* x (/ x (- x 1)))) (+ (* x x) -1) (* x (/ x (- x 1))) (/ x (- x 1)) (/ 1 (/ (- x 1) (* (+ (* x x) -1) (* x x)))) (- x 1) (* (+ (* x x) -1) (* x x)) (/ (- x 1) (* (+ (* x x) -1) (* x x)))) |
| 1.0ms | x | @ | inf | ((* (+ (* x x) -1) (* x (/ x (- x 1)))) (+ (* x x) -1) (* x (/ x (- x 1))) (/ x (- x 1)) (/ 1 (/ (- x 1) (* (+ (* x x) -1) (* x x)))) (- x 1) (* (+ (* x x) -1) (* x x)) (/ (- x 1) (* (+ (* x x) -1) (* x x)))) |
| 0.0ms | x | @ | 0 | ((* (+ (* x x) -1) (* x (/ x (- x 1)))) (+ (* x x) -1) (* x (/ x (- x 1))) (/ x (- x 1)) (/ 1 (/ (- x 1) (* (+ (* x x) -1) (* x x)))) (- x 1) (* (+ (* x x) -1) (* x x)) (/ (- x 1) (* (+ (* x x) -1) (* x x)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 88 | 393 |
| 1 | 242 | 371 |
| 2 | 660 | 343 |
| 3 | 2682 | 319 |
| 4 | 7419 | 319 |
| 0 | 8100 | 311 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow x 2) |
(* (pow x 2) (+ 1 x)) |
-1 |
(- (pow x 2) 1) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (* -1 x) 1)) |
(* (pow x 2) (- (* x (- (* -1 x) 1)) 1)) |
(* (pow x 2) (- (* x (- (* x (- (* -1 x) 1)) 1)) 1)) |
(* -1 x) |
(* x (- (* -1 x) 1)) |
(* x (- (* x (- (* -1 x) 1)) 1)) |
(* x (- (* x (- (* x (- (* -1 x) 1)) 1)) 1)) |
(- x 1) |
(* (pow x 2) (- (pow x 2) 1)) |
(/ 1 (pow x 2)) |
(/ (+ 1 (* -1 x)) (pow x 2)) |
(/ (+ 1 (* x (- x 1))) (pow x 2)) |
(/ (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) (pow x 2)) |
(pow x 3) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))) |
(* x (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3)))))) |
1 |
(+ 1 (/ 1 x)) |
(+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) |
(+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) |
(* x (- 1 (/ 1 x))) |
(pow x 4) |
(* (pow x 4) (- 1 (/ 1 (pow x 2)))) |
(/ 1 (pow x 3)) |
(/ (- 1 (/ 1 x)) (pow x 3)) |
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) (pow x 3)) |
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) (pow x 3)) |
(* -1 (* x (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1))) |
(* -1 (* x (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1))) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (/ (- (/ 1 x) 1) (pow x 3))) |
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 3))) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 3))) |
| Outputs |
|---|
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 x)) |
(fma.f64 x x (pow.f64 x #s(literal 3 binary64))) |
-1 |
#s(literal -1 binary64) |
(- (pow x 2) 1) |
(fma.f64 x x #s(literal -1 binary64)) |
(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* (pow x 2) (- (* -1 x) 1)) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) x) x) |
(* (pow x 2) (- (* x (- (* -1 x) 1)) 1)) |
(*.f64 (*.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)) x) x) |
(* (pow x 2) (- (* x (- (* x (- (* -1 x) 1)) 1)) 1)) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 (pow.f64 x #s(literal 3 binary64)) x)) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* -1 x) 1)) |
(*.f64 (-.f64 #s(literal -1 binary64) x) x) |
(* x (- (* x (- (* -1 x) 1)) 1)) |
(*.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64)) x) |
(* x (- (* x (- (* x (- (* -1 x) 1)) 1)) 1)) |
(*.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 (pow.f64 x #s(literal 3 binary64)) x)) |
(- x 1) |
(-.f64 x #s(literal 1 binary64)) |
(* (pow x 2) (- (pow x 2) 1)) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) x) x) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ (+ 1 (* -1 x)) (pow x 2)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (- x 1))) (pow x 2)) |
(/.f64 (/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) x) x) |
(/ (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) (pow x 2)) |
(/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (*.f64 x x)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(fma.f64 x x (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 2) (- 1 (/ 1 (pow x 2)))) |
(fma.f64 x x #s(literal -1 binary64)) |
x |
(* x (+ 1 (/ 1 x))) |
(-.f64 x #s(literal -1 binary64)) |
(* x (+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))) |
(+.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x) |
(* x (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3)))))) |
(-.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ 1 x)) |
(/.f64 (-.f64 x #s(literal -1 binary64)) x) |
(+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) |
(/.f64 (+.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x) x) |
(+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x)) x)) |
(* x (- 1 (/ 1 x))) |
(-.f64 x #s(literal 1 binary64)) |
(pow x 4) |
(pow.f64 x #s(literal 4 binary64)) |
(* (pow x 4) (- 1 (/ 1 (pow x 2)))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/ 1 (pow x 3)) |
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) |
(/ (- 1 (/ 1 x)) (pow x 3)) |
(/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) (pow.f64 x #s(literal 3 binary64))) |
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) (pow x 3)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) (pow x 3)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* x (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1))) |
(+.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x) |
(* -1 (* x (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1))) |
(-.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x))) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x)) x)) |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
(* -1 (/ (- (/ 1 x) 1) (pow x 3))) |
(/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 3))) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 3))) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 80 |
| 0 | 22 | 78 |
| 1 | 85 | 78 |
| 2 | 529 | 78 |
| 3 | 7087 | 78 |
| 0 | 8055 | 73 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))))) |
#s(approx (+ (* x x) -1) #s(literal -1 binary64)) |
(*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) |
(/.f64 x (-.f64 x #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (*.f64 x x)))) |
(-.f64 x #s(literal 1 binary64)) |
(*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (*.f64 x x)) |
(/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (*.f64 x x))) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) (-.f64 #s(literal 1 binary64) x)) (neg.f64 x)) |
(*.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) #s(literal -1 binary64))) x) |
(*.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(approx (+ (* x x) -1) #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (neg.f64 x) x) #s(approx (+ (* x x) -1) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(approx (+ (* x x) -1) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(approx (+ (* x x) -1) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) x) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) x) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) #s(approx (+ (* x x) -1) #s(literal -1 binary64)))) x) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (pow.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(approx (+ (* x x) -1) #s(literal -1 binary64))) #s(literal 2 binary64)))) (*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(approx (+ (* x x) -1) #s(literal -1 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (pow.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(approx (+ (* x x) -1) #s(literal -1 binary64))) #s(literal 3 binary64)))) (fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(approx (+ (* x x) -1) #s(literal -1 binary64))) (*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(approx (+ (* x x) -1) #s(literal -1 binary64)))) (pow.f64 (pow.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (*.f64 (*.f64 (neg.f64 x) x) #s(approx (+ (* x x) -1) #s(literal -1 binary64))))) (*.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) #s(approx (+ (* x x) -1) #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) #s(approx (+ (* x x) -1) #s(literal -1 binary64)))) (*.f64 (neg.f64 x) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (* x x) -1) #s(literal -1 binary64)))) (*.f64 (neg.f64 x) x)) |
(*.f64 (*.f64 (*.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) #s(approx (+ (* x x) -1) #s(literal -1 binary64))) #s(literal 1 binary64)) x) |
(*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (neg.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64))) x)) x) |
(*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (neg.f64 x) x)) #s(approx (+ (* x x) -1) #s(literal -1 binary64))) |
(*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x)) (neg.f64 x)) |
(*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 x x)) (neg.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(approx (+ (* x x) -1) #s(literal -1 binary64))) (*.f64 (neg.f64 x) x)) |
(*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) x)) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) (/.f64 x (-.f64 x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) (/.f64 x (-.f64 x #s(literal 1 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) (/.f64 x (fma.f64 x x #s(literal -1 binary64))))) (-.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (neg.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) x)) |
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(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* x x) -1) #s(literal -1 binary64))) (/.f64 x (*.f64 (neg.f64 x) x)) (*.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* x x) -1) #s(literal -1 binary64))) (/.f64 x (*.f64 (neg.f64 x) x)) (*.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(approx (+ (* x x) -1) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* x x) -1) #s(literal -1 binary64))) (/.f64 x (*.f64 (neg.f64 x) x)) (/.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64))))) |
(fma.f64 (pow.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)))) #s(literal 1 binary64))) |
(fma.f64 (pow.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(approx (+ (* x x) -1) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(fma.f64 (pow.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) #s(literal -1 binary64)) #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64))))) |
(fma.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 x #s(approx (+ (* x x) -1) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)))) #s(literal 1 binary64))) |
(fma.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 x #s(approx (+ (* x x) -1) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(approx (+ (* x x) -1) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(fma.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 x #s(approx (+ (* x x) -1) #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64))))) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)))) #s(literal 1 binary64))) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(approx (+ (* x x) -1) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64))))) |
(fma.f64 (pow.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)))) #s(literal 1 binary64))) |
(fma.f64 (pow.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(approx (+ (* x x) -1) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(fma.f64 (pow.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64))))) |
(fma.f64 (/.f64 x #s(approx (+ (* x x) -1) #s(literal -1 binary64))) (pow.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 x #s(approx (+ (* x x) -1) #s(literal -1 binary64))) (pow.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(approx (+ (* x x) -1) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(fma.f64 (/.f64 x #s(approx (+ (* x x) -1) #s(literal -1 binary64))) (pow.f64 x #s(literal -2 binary64)) (/.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64))))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(approx (+ (* x x) -1) #s(literal -1 binary64))) #s(literal -1 binary64) (pow.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) #s(literal -1 binary64))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(approx (+ (* x x) -1) #s(literal -1 binary64))) x (*.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(approx (+ (* x x) -1) #s(literal -1 binary64))) x (*.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(approx (+ (* x x) -1) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(approx (+ (* x x) -1) #s(literal -1 binary64))) x (/.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64))))) |
(fma.f64 (neg.f64 x) (/.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)))) (*.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)))) #s(literal 1 binary64))) |
(fma.f64 (neg.f64 x) (/.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)))) (*.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(approx (+ (* x x) -1) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(fma.f64 (neg.f64 x) (/.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)))) (/.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)))) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(approx (+ (* x x) -1) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)))) (pow.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) #s(literal -1 binary64))) |
(fma.f64 #s(literal -1 binary64) (/.f64 x (*.f64 (*.f64 (neg.f64 x) x) #s(approx (+ (* x x) -1) #s(literal -1 binary64)))) (*.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)))) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1 binary64) (/.f64 x (*.f64 (*.f64 (neg.f64 x) x) #s(approx (+ (* x x) -1) #s(literal -1 binary64)))) (*.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(approx (+ (* x x) -1) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(fma.f64 #s(literal -1 binary64) (/.f64 x (*.f64 (*.f64 (neg.f64 x) x) #s(approx (+ (* x x) -1) #s(literal -1 binary64)))) (/.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64))))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(approx (+ (* x x) -1) #s(literal -1 binary64))) (pow.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) #s(literal -1 binary64))) |
(fma.f64 x (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(approx (+ (* x x) -1) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)))) #s(literal 1 binary64))) |
(fma.f64 x (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(approx (+ (* x x) -1) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(approx (+ (* x x) -1) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(fma.f64 x (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(approx (+ (* x x) -1) #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64))))) |
(-.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(approx (+ (* x x) -1) #s(literal -1 binary64))))) (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(approx (+ (* x x) -1) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(approx (+ (* x x) -1) #s(literal -1 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) #s(literal -1 binary64)) #s(literal 3 binary64)) (fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(approx (+ (* x x) -1) #s(literal -1 binary64))) (*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(approx (+ (* x x) -1) #s(literal -1 binary64)))) (pow.f64 (pow.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) #s(literal -1 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(approx (+ (* x x) -1) #s(literal -1 binary64))) #s(literal 3 binary64)) (fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(approx (+ (* x x) -1) #s(literal -1 binary64))) (*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(approx (+ (* x x) -1) #s(literal -1 binary64)))) (pow.f64 (pow.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) #s(literal -1 binary64)) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (+ (* x x) -1) #s(literal -1 binary64))) (*.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) #s(approx (+ (* x x) -1) #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (*.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) x) (*.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) #s(approx (+ (* x x) -1) #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (fma.f64 x x x) (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x))) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 x x x) (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x)))) |
(-.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x x x) (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x x) (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x)))) |
(-.f64 (/.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -1 binary64)))) (*.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) x)) (/.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) x))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))) (*.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) x)) (/.f64 (pow.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 (neg.f64 x) x) #s(approx (+ (* x x) -1) #s(literal -1 binary64)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x))) |
(-.f64 (pow.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(approx (+ (* x x) -1) #s(literal -1 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) #s(approx (+ (* x x) -1) #s(literal -1 binary64)))) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) #s(approx (+ (* x x) -1) #s(literal -1 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) (/.f64 x (-.f64 x #s(literal 1 binary64))))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(approx (+ (* x x) -1) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) #s(literal -1 binary64))) |
(+.f64 (pow.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)))) #s(literal 1 binary64))) |
(+.f64 (pow.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) #s(approx (+ (* x x) -1) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (pow.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)))) (pow.f64 (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) x) #s(literal -1 binary64))) |
Compiled 25 528 to 2 808 computations (89% saved)
7 alts after pruning (0 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 936 | 0 | 936 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 5 | 5 |
| Total | 936 | 7 | 943 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (fma.f64 (*.f64 x x) x (*.f64 x x)) |
| ✓ | 97.0% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (*.f64 x x)))) |
| ✓ | 100.0% | (*.f64 (fma.f64 x x x) x) |
| ✓ | 100.0% | (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))))) |
| ✓ | 100.0% | (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) |
| ✓ | 98.7% | (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))))) |
| ✓ | 96.9% | #s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) |
Compiled 191 to 79 computations (58.6% saved)
| Inputs |
|---|
#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) |
(*.f64 (fma.f64 x x x) x) |
(*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) |
(fma.f64 (*.f64 x x) x (*.f64 x x)) |
(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
(*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))))) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))))) |
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)) (-.f64 x #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 #s(approx (+ (* x x) -1) #s(literal -1 binary64)) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)))) |
| Outputs |
|---|
(fma.f64 (*.f64 x x) x (*.f64 x x)) |
2 calls:
| 3.0ms | x |
| 3.0ms | (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
Compiled 10 to 5 computations (50% saved)
| Inputs |
|---|
#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) |
(*.f64 (fma.f64 x x x) x) |
(*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) |
| Outputs |
|---|
(*.f64 (fma.f64 x x x) x) |
2 calls:
| 2.0ms | x |
| 1.0ms | (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
Compiled 10 to 5 computations (50% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) |
| Outputs |
|---|
#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) |
2 calls:
| 1.0ms | x |
| 1.0ms | (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.9% | 1 | x |
| 96.9% | 1 | (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
Compiled 10 to 5 computations (50% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 27 |
| 1 | 10 | 27 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (*.f64 x x) x (*.f64 x x)) |
(*.f64 (fma.f64 x x x) x) |
#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) |
| Outputs |
|---|
(fma.f64 (*.f64 x x) x (*.f64 x x)) |
(*.f64 (fma.f64 x x x) x) |
#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 17 |
| 0 | 7 | 13 |
| 1 | 30 | 13 |
| 2 | 199 | 13 |
| 3 | 1768 | 13 |
| 0 | 8450 | 12 |
| 0 | 11 | 20 |
| 1 | 30 | 20 |
| 2 | 64 | 20 |
| 3 | 103 | 20 |
| 4 | 286 | 20 |
| 5 | 1326 | 20 |
| 6 | 2335 | 20 |
| 7 | 3183 | 20 |
| 8 | 3904 | 20 |
| 9 | 4731 | 20 |
| 10 | 5074 | 20 |
| 11 | 5337 | 20 |
| 12 | 5549 | 20 |
| 13 | 5769 | 20 |
| 14 | 5852 | 20 |
| 15 | 6642 | 20 |
| 16 | 7744 | 20 |
| 0 | 8032 | 18 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 62 to 22 computations (64.5% saved)
Compiled 86 to 36 computations (58.1% saved)
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