
Time bar (total: 7.5s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 100% | 100% | 0% | 0% | 0% | 0% | 0% | 1 |
Compiled 11 to 9 computations (18.2% saved)
| 484.0ms | 7 660× | 0 | valid |
| 52.0ms | 313× | 1 | valid |
| 30.0ms | 283× | 2 | valid |
ival-mult: 207.0ms (53.2% of total)ival-sub: 157.0ms (40.3% of total)adjust: 10.0ms (2.6% of total)exact: 7.0ms (1.8% of total)ival-true: 5.0ms (1.3% of total)ival-assert: 3.0ms (0.8% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) |
| 0 | 0 | - | 0 | - | (*.f64 x #s(literal 3 binary64)) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 20.0ms | 410× | 0 | valid |
| 12.0ms | 48× | 2 | valid |
| 5.0ms | 54× | 1 | valid |
Compiled 68 to 25 computations (63.2% saved)
ival-mult: 11.0ms (63.5% of total)ival-sub: 3.0ms (17.3% of total)adjust: 2.0ms (11.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
| 776× | lower-fma.f64 |
| 776× | lower-fma.f32 |
| 480× | lower-*.f32 |
| 474× | lower-*.f64 |
| 238× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 21 |
| 1 | 33 | 18 |
| 2 | 97 | 14 |
| 3 | 332 | 14 |
| 4 | 923 | 14 |
| 5 | 1333 | 14 |
| 6 | 1344 | 14 |
| 7 | 1348 | 14 |
| 8 | 1348 | 14 |
| 0 | 7 | 9 |
| 0 | 11 | 9 |
| 1 | 21 | 9 |
| 2 | 46 | 7 |
| 3 | 99 | 7 |
| 4 | 196 | 7 |
| 5 | 285 | 7 |
| 6 | 380 | 7 |
| 7 | 581 | 7 |
| 8 | 682 | 7 |
| 9 | 769 | 7 |
| 10 | 943 | 7 |
| 11 | 1020 | 7 |
| 12 | 1020 | 7 |
| 13 | 1020 | 7 |
| 0 | 1020 | 6 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
Compiled 10 to 7 computations (30% saved)
Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.7% | (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) |
Compiled 10 to 7 computations (30% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) | |
| cost-diff | 128 | (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))) | |
| cost-diff | 320 | (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) |
| 776× | lower-fma.f64 |
| 776× | lower-fma.f32 |
| 480× | lower-*.f32 |
| 474× | lower-*.f64 |
| 218× | cancel-sign-sub-inv |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 27 |
| 0 | 11 | 27 |
| 1 | 21 | 27 |
| 2 | 46 | 23 |
| 3 | 99 | 23 |
| 4 | 196 | 23 |
| 5 | 285 | 23 |
| 6 | 380 | 23 |
| 7 | 581 | 23 |
| 8 | 682 | 23 |
| 9 | 769 | 23 |
| 10 | 943 | 23 |
| 11 | 1020 | 23 |
| 12 | 1020 | 23 |
| 13 | 1020 | 23 |
| 0 | 1020 | 20 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) |
(*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) |
#s(literal 3 binary64) |
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))) |
#s(literal 2 binary64) |
(*.f64 x #s(literal 3 binary64)) |
x |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
#s(literal 3 binary64) |
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))) |
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 x #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) x) |
x |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 x #s(literal 3 binary64)) | |
| accuracy | 0.07421875 | (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))) | |
| accuracy | 0.171875 | (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) | |
| accuracy | 0.17578125 | (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) |
| 12.0ms | 205× | 0 | valid |
| 4.0ms | 24× | 2 | valid |
| 2.0ms | 27× | 1 | valid |
Compiled 29 to 9 computations (69% saved)
ival-mult: 8.0ms (73.7% of total)ival-sub: 2.0ms (18.4% of total)adjust: 1.0ms (9.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))))> |
#<alt (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))> |
#<alt (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)> |
#<alt (*.f64 x #s(literal 3 binary64))> |
| Outputs |
|---|
#<alt 6> |
#<alt (+ 6 (* -9 x))> |
#<alt (+ 6 (* -9 x))> |
#<alt (+ 6 (* -9 x))> |
#<alt (* -9 x)> |
#<alt (* x (- (* 6 (/ 1 x)) 9))> |
#<alt (* x (- (* 6 (/ 1 x)) 9))> |
#<alt (* x (- (* 6 (/ 1 x)) 9))> |
#<alt (* -9 x)> |
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))> |
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))> |
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))> |
#<alt 2> |
#<alt (+ 2 (* -3 x))> |
#<alt (+ 2 (* -3 x))> |
#<alt (+ 2 (* -3 x))> |
#<alt (* -3 x)> |
#<alt (* x (- (* 2 (/ 1 x)) 3))> |
#<alt (* x (- (* 2 (/ 1 x)) 3))> |
#<alt (* x (- (* 2 (/ 1 x)) 3))> |
#<alt (* -3 x)> |
#<alt (* -1 (* x (- 3 (* 2 (/ 1 x)))))> |
#<alt (* -1 (* x (- 3 (* 2 (/ 1 x)))))> |
#<alt (* -1 (* x (- 3 (* 2 (/ 1 x)))))> |
#<alt (* 6 x)> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* -9 (pow x 2))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* -9 (pow x 2))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (* 3 (- 2 (* x 3))) |
| 0.0ms | x | @ | 0 | (* (* 3 (- 2 (* x 3))) x) |
| 0.0ms | x | @ | 0 | (* 3 (- 2 (* x 3))) |
| 0.0ms | x | @ | inf | (* x 3) |
| 0.0ms | x | @ | -inf | (* (* 3 (- 2 (* x 3))) x) |
| 1× | egg-herbie |
| 3 190× | lower-*.f64 |
| 3 190× | lower-*.f32 |
| 3 012× | lower-fma.f64 |
| 3 012× | lower-fma.f32 |
| 1 366× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 216 |
| 1 | 82 | 216 |
| 2 | 169 | 216 |
| 3 | 406 | 216 |
| 4 | 1019 | 216 |
| 5 | 1335 | 216 |
| 6 | 2557 | 216 |
| 7 | 5031 | 216 |
| 8 | 6891 | 216 |
| 9 | 7986 | 216 |
| 0 | 8012 | 189 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
6 |
(+ 6 (* -9 x)) |
(+ 6 (* -9 x)) |
(+ 6 (* -9 x)) |
(* -9 x) |
(* x (- (* 6 (/ 1 x)) 9)) |
(* x (- (* 6 (/ 1 x)) 9)) |
(* x (- (* 6 (/ 1 x)) 9)) |
(* -9 x) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
2 |
(+ 2 (* -3 x)) |
(+ 2 (* -3 x)) |
(+ 2 (* -3 x)) |
(* -3 x) |
(* x (- (* 2 (/ 1 x)) 3)) |
(* x (- (* 2 (/ 1 x)) 3)) |
(* x (- (* 2 (/ 1 x)) 3)) |
(* -3 x) |
(* -1 (* x (- 3 (* 2 (/ 1 x))))) |
(* -1 (* x (- 3 (* 2 (/ 1 x))))) |
(* -1 (* x (- 3 (* 2 (/ 1 x))))) |
(* 6 x) |
(* x (+ 6 (* -9 x))) |
(* x (+ 6 (* -9 x))) |
(* x (+ 6 (* -9 x))) |
(* -9 (pow x 2)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* -9 (pow x 2)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
| Outputs |
|---|
6 |
#s(literal 6 binary64) |
(+ 6 (* -9 x)) |
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) |
(+ 6 (* -9 x)) |
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) |
(+ 6 (* -9 x)) |
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) |
(* -9 x) |
(*.f64 #s(literal -9 binary64) x) |
(* x (- (* 6 (/ 1 x)) 9)) |
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) |
(* x (- (* 6 (/ 1 x)) 9)) |
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) |
(* x (- (* 6 (/ 1 x)) 9)) |
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) |
(* -9 x) |
(*.f64 #s(literal -9 binary64) x) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -3 x)) |
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)) |
(+ 2 (* -3 x)) |
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)) |
(+ 2 (* -3 x)) |
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)) |
(* -3 x) |
(*.f64 x #s(literal -3 binary64)) |
(* x (- (* 2 (/ 1 x)) 3)) |
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)) |
(* x (- (* 2 (/ 1 x)) 3)) |
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)) |
(* x (- (* 2 (/ 1 x)) 3)) |
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)) |
(* -3 x) |
(*.f64 x #s(literal -3 binary64)) |
(* -1 (* x (- 3 (* 2 (/ 1 x))))) |
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)) |
(* -1 (* x (- 3 (* 2 (/ 1 x))))) |
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)) |
(* -1 (* x (- 3 (* 2 (/ 1 x))))) |
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)) |
(* 6 x) |
(*.f64 x #s(literal 6 binary64)) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) |
(* -9 (pow x 2)) |
(*.f64 #s(literal -9 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) |
(* -9 (pow x 2)) |
(*.f64 #s(literal -9 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
| 15 340× | lower-fma.f64 |
| 15 340× | lower-fma.f32 |
| 4 142× | lower-*.f32 |
| 4 136× | lower-*.f64 |
| 3 486× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 24 |
| 0 | 11 | 24 |
| 1 | 35 | 24 |
| 2 | 210 | 20 |
| 3 | 1728 | 20 |
| 0 | 9546 | 17 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) |
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) |
(*.f64 x #s(literal 3 binary64)) |
| Outputs |
|---|
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))) |
(+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal 6 binary64)) |
(-.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))) |
(-.f64 (/.f64 #s(literal 36 binary64) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 81 binary64)) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))))) |
(fma.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64)) #s(literal 6 binary64)) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
(fma.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -3 binary64) #s(literal 6 binary64)) |
(fma.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 3 binary64) #s(literal 6 binary64)) |
(fma.f64 (neg.f64 x) #s(literal 9 binary64) #s(literal 6 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.f64 x #s(literal 9 binary64)) #s(literal 6 binary64)) |
(fma.f64 #s(literal 9 binary64) (neg.f64 x) #s(literal 6 binary64)) |
(fma.f64 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) x) #s(literal 6 binary64)) |
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) |
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))) #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 36 binary64) (fma.f64 (*.f64 x x) #s(literal 81 binary64) (*.f64 #s(literal -6 binary64) (*.f64 x #s(literal -9 binary64))))) (+.f64 #s(literal 216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))) (-.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) #s(literal 81 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))) (*.f64 #s(literal 3 binary64) (+.f64 #s(literal -8 binary64) (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) (-.f64 #s(literal -4 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))) (*.f64 (+.f64 #s(literal -8 binary64) (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)))) #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64)) (*.f64 (-.f64 #s(literal -4 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64))) #s(literal 3 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))) |
(/.f64 #s(literal -3 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))))) |
(/.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64))) |
(/.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 4 binary64))) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))) |
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(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (*.f64 (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))) (-.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) (*.f64 x #s(literal -3 binary64))) (*.f64 #s(literal -2 binary64) (*.f64 x #s(literal -3 binary64))))) (-.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (*.f64 #s(literal -2 binary64) (*.f64 x #s(literal -3 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))) (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))))) (+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 81 binary64))) (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 36 binary64)) (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 3 binary64) (fma.f64 #s(literal 3 binary64) (*.f64 x x) (*.f64 #s(literal 2 binary64) x))) |
(*.f64 #s(literal 3 binary64) (fma.f64 #s(literal 2 binary64) x (*.f64 #s(literal 3 binary64) (*.f64 x x)))) |
(*.f64 #s(literal 3 binary64) (fma.f64 #s(literal 3 binary64) (*.f64 x x) (*.f64 #s(literal -2 binary64) x))) |
(*.f64 #s(literal 3 binary64) (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))) |
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) |
(*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64))) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) x) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) x) (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64))) |
(*.f64 (fma.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64))) (*.f64 #s(literal 3 binary64) x))) |
(*.f64 (*.f64 x #s(literal -3 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64))) |
(*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) x))) |
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) x)) |
(*.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))) |
(*.f64 (*.f64 (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 81 binary64)))))) |
(*.f64 (*.f64 (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 36 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 81 binary64)) (*.f64 (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) #s(literal 2 binary64)))))) |
(*.f64 (*.f64 (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 81 binary64)) (fma.f64 (*.f64 x x) #s(literal 36 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (*.f64 #s(literal -6 binary64) x)))))) |
(*.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))) |
(*.f64 (neg.f64 (*.f64 (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) (fma.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)) #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 81 binary64))))))) |
(*.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))))) |
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) (fma.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64)))) |
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))) |
(*.f64 (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))) #s(literal 3 binary64)) |
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) |
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (fma.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)) #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64)))) |
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))) |
(*.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (fma.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)) #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64)))) |
(*.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))) |
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) (+.f64 #s(literal -8 binary64) (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64)))) |
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) (-.f64 #s(literal -4 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 #s(literal 3 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 4 binary64)) (*.f64 #s(literal 3 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))) |
(*.f64 (*.f64 (+.f64 #s(literal -8 binary64) (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 3 binary64) x)) (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64)))) |
(*.f64 (*.f64 (-.f64 #s(literal -4 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64))) (*.f64 #s(literal 3 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64)))) |
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64)))) |
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 4 binary64))) x) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))) |
(*.f64 (*.f64 (*.f64 x (fma.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)) #s(literal 4 binary64)))) |
(*.f64 (*.f64 (*.f64 x (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 4 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)))) |
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 3 binary64) x)) |
(exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -3 binary64))) |
(neg.f64 (*.f64 x #s(literal -3 binary64))) |
(/.f64 (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) #s(literal 0 binary64)))) |
(/.f64 (*.f64 (*.f64 x x) #s(literal -9 binary64)) (*.f64 x #s(literal -3 binary64))) |
(pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 3 binary64) x) |
(*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 x #s(literal 3 binary64)) |
(*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x)) |
(*.f64 #s(literal -1 binary64) (*.f64 x #s(literal -3 binary64))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 3 binary64)) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 3 binary64)))) |
(*.f64 (exp.f64 (log.f64 #s(literal 3 binary64))) (exp.f64 (log.f64 x))) |
(*.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1/2 binary64))) |
Compiled 20 468 to 2 295 computations (88.8% saved)
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 888 | 10 | 898 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 889 | 10 | 899 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (fma.f64 x #s(literal 6 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64))) |
| ▶ | 99.6% | (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))) |
| 43.2% | (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))))) | |
| 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))) | |
| 99.7% | (*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) | |
| 99.7% | (*.f64 (*.f64 x #s(literal -3 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64))) | |
| ▶ | 56.6% | (*.f64 (*.f64 #s(literal 3 binary64) #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))) x) |
| ▶ | 56.7% | (*.f64 #s(approx (* 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x)) x) |
| ▶ | 45.4% | (*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x) |
| 56.7% | #s(approx (* (* 3 (- 2 (* x 3))) x) (*.f64 #s(literal -9 binary64) (*.f64 x x))) |
Compiled 168 to 116 computations (31% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) | |
| cost-diff | 1088 | (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))) | |
| cost-diff | 0 | (*.f64 x #s(literal -3 binary64)) | |
| cost-diff | 0 | #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64))) | |
| cost-diff | 0 | (*.f64 #s(literal 3 binary64) #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 3 binary64) #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))) x) | |
| cost-diff | 0 | (*.f64 #s(literal -9 binary64) x) | |
| cost-diff | 0 | #s(approx (* 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (* 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x)) x) | |
| cost-diff | 0 | #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal -9 binary64)) | |
| cost-diff | 320 | (fma.f64 x #s(literal 6 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64))) |
| 1 064× | lower-fma.f32 |
| 1 060× | lower-fma.f64 |
| 768× | lower-*.f32 |
| 752× | lower-*.f64 |
| 418× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 131 |
| 0 | 39 | 134 |
| 1 | 63 | 130 |
| 2 | 90 | 115 |
| 3 | 136 | 115 |
| 4 | 228 | 115 |
| 5 | 366 | 115 |
| 6 | 605 | 115 |
| 7 | 1027 | 115 |
| 8 | 1518 | 115 |
| 9 | 1794 | 115 |
| 10 | 2194 | 115 |
| 11 | 2478 | 115 |
| 12 | 2785 | 115 |
| 13 | 3018 | 115 |
| 14 | 3074 | 115 |
| 15 | 3094 | 115 |
| 16 | 3110 | 115 |
| 17 | 3116 | 115 |
| 18 | 3124 | 115 |
| 0 | 3124 | 112 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 x #s(literal 6 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64))) |
x |
#s(literal 6 binary64) |
(*.f64 (*.f64 x x) #s(literal -9 binary64)) |
(*.f64 x x) |
#s(literal -9 binary64) |
(*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x) |
#s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) |
#s(literal 6 binary64) |
x |
(*.f64 #s(approx (* 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x)) x) |
#s(approx (* 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x)) |
(*.f64 #s(literal -9 binary64) x) |
#s(literal -9 binary64) |
x |
(*.f64 (*.f64 #s(literal 3 binary64) #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))) x) |
(*.f64 #s(literal 3 binary64) #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))) |
#s(literal 3 binary64) |
#s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64))) |
(*.f64 x #s(literal -3 binary64)) |
x |
#s(literal -3 binary64) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))) |
x |
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
#s(literal 1 binary64) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
#s(literal -9 binary64) |
#s(literal 6 binary64) |
| Outputs |
|---|
(fma.f64 x #s(literal 6 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64))) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
x |
#s(literal 6 binary64) |
(*.f64 (*.f64 x x) #s(literal -9 binary64)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(*.f64 x x) |
#s(literal -9 binary64) |
(*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x) |
(*.f64 x #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64))) |
#s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) |
#s(literal 6 binary64) |
x |
(*.f64 #s(approx (* 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x)) x) |
(*.f64 x #s(approx (* 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64)))) |
#s(approx (* 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x)) |
#s(approx (* 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64))) |
(*.f64 #s(literal -9 binary64) x) |
(*.f64 x #s(literal -9 binary64)) |
#s(literal -9 binary64) |
x |
(*.f64 (*.f64 #s(literal 3 binary64) #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))) x) |
(*.f64 (*.f64 x #s(literal 3 binary64)) #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))) |
(*.f64 #s(literal 3 binary64) #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))) |
#s(literal 3 binary64) |
#s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64))) |
(*.f64 x #s(literal -3 binary64)) |
x |
#s(literal -3 binary64) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
x |
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
#s(literal 1 binary64) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
#s(literal -9 binary64) |
#s(literal 6 binary64) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) | |
| accuracy | 0.23046875 | (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))) | |
| accuracy | 0.3314700971992376 | (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) | |
| accuracy | 0 | (*.f64 x #s(literal -3 binary64)) | |
| accuracy | 0.171875 | (*.f64 (*.f64 #s(literal 3 binary64) #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))) x) | |
| accuracy | 0.17578125 | (*.f64 #s(literal 3 binary64) #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))) | |
| accuracy | 28.301671743060208 | #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64))) | |
| accuracy | 0 | (*.f64 #s(literal -9 binary64) x) | |
| accuracy | 0.171875 | (*.f64 #s(approx (* 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x)) x) | |
| accuracy | 28.265093514755822 | #s(approx (* 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x)) | |
| accuracy | 0.171875 | (*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x) | |
| accuracy | 35.26436247475011 | #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.05078125 | (fma.f64 x #s(literal 6 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64))) | |
| accuracy | 0.14969503162065376 | (*.f64 (*.f64 x x) #s(literal -9 binary64)) |
| 94.0ms | 192× | 0 | valid |
| 12.0ms | 30× | 2 | valid |
| 8.0ms | 34× | 1 | valid |
Compiled 113 to 23 computations (79.6% saved)
ival-mult: 17.0ms (58.8% of total)ival-div: 4.0ms (13.8% of total)ival-add: 3.0ms (10.4% of total)adjust: 2.0ms (6.9% of total)ival-sub: 2.0ms (6.9% of total)exact: 1.0ms (3.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 x #s(literal 6 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64)))> |
#<alt (*.f64 (*.f64 x x) #s(literal -9 binary64))> |
#<alt (*.f64 x x)> |
#<alt (*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)> |
#<alt #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64))> |
#<alt (*.f64 #s(approx (* 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x)) x)> |
#<alt #s(approx (* 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x))> |
#<alt (*.f64 #s(literal -9 binary64) x)> |
#<alt (*.f64 (*.f64 #s(literal 3 binary64) #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))) x)> |
#<alt (*.f64 #s(literal 3 binary64) #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64))))> |
#<alt #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))> |
#<alt (*.f64 x #s(literal -3 binary64))> |
#<alt (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))> |
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))> |
#<alt (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))> |
| Outputs |
|---|
#<alt (* 6 x)> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* -9 (pow x 2))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* -9 (pow x 2))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (* 6 x)> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* -9 (pow x 2))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* -9 (pow x 2))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt 6> |
#<alt (+ 6 (* -9 x))> |
#<alt (+ 6 (* -9 x))> |
#<alt (+ 6 (* -9 x))> |
#<alt (* -9 x)> |
#<alt (* x (- (* 6 (/ 1 x)) 9))> |
#<alt (* x (- (* 6 (/ 1 x)) 9))> |
#<alt (* x (- (* 6 (/ 1 x)) 9))> |
#<alt (* -9 x)> |
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))> |
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))> |
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))> |
#<alt (* 6 x)> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* -9 (pow x 2))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* -9 (pow x 2))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt 6> |
#<alt (+ 6 (* -9 x))> |
#<alt (+ 6 (* -9 x))> |
#<alt (+ 6 (* -9 x))> |
#<alt (* -9 x)> |
#<alt (* x (- (* 6 (/ 1 x)) 9))> |
#<alt (* x (- (* 6 (/ 1 x)) 9))> |
#<alt (* x (- (* 6 (/ 1 x)) 9))> |
#<alt (* -9 x)> |
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))> |
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))> |
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* 6 x)> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* -9 (pow x 2))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* -9 (pow x 2))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt 6> |
#<alt (+ 6 (* -9 x))> |
#<alt (+ 6 (* -9 x))> |
#<alt (+ 6 (* -9 x))> |
#<alt (* -9 x)> |
#<alt (* x (- (* 6 (/ 1 x)) 9))> |
#<alt (* x (- (* 6 (/ 1 x)) 9))> |
#<alt (* x (- (* 6 (/ 1 x)) 9))> |
#<alt (* -9 x)> |
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))> |
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))> |
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))> |
#<alt 2> |
#<alt (+ 2 (* -3 x))> |
#<alt (+ 2 (* -3 x))> |
#<alt (+ 2 (* -3 x))> |
#<alt (* -3 x)> |
#<alt (* x (- (* 2 (/ 1 x)) 3))> |
#<alt (* x (- (* 2 (/ 1 x)) 3))> |
#<alt (* x (- (* 2 (/ 1 x)) 3))> |
#<alt (* -3 x)> |
#<alt (* -1 (* x (- 3 (* 2 (/ 1 x)))))> |
#<alt (* -1 (* x (- 3 (* 2 (/ 1 x)))))> |
#<alt (* -1 (* x (- 3 (* 2 (/ 1 x)))))> |
#<alt (* -3 x)> |
#<alt (* -3 x)> |
#<alt (* -3 x)> |
#<alt (* -3 x)> |
#<alt (* -3 x)> |
#<alt (* -3 x)> |
#<alt (* -3 x)> |
#<alt (* -3 x)> |
#<alt (* -3 x)> |
#<alt (* -3 x)> |
#<alt (* -3 x)> |
#<alt (* -3 x)> |
#<alt (* 6 x)> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* -9 (pow x 2))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* -9 (pow x 2))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt 1/6> |
#<alt (+ 1/6 (* 1/4 x))> |
#<alt (+ 1/6 (* x (+ 1/4 (* 3/8 x))))> |
#<alt (+ 1/6 (* x (+ 1/4 (* x (+ 3/8 (* 9/16 x))))))> |
#<alt (/ -1/9 x)> |
#<alt (* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x))> |
#<alt (/ (- (* -1 (/ (+ 2/27 (* 4/81 (/ 1 x))) x)) 1/9) x)> |
#<alt (/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) (pow x 2))) (+ 1/9 (* 2/27 (/ 1 x)))) x)> |
#<alt (/ -1/9 x)> |
#<alt (* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x))> |
#<alt (* -1 (/ (+ 1/9 (+ (/ 4/81 (pow x 2)) (* 2/27 (/ 1 x)))) x))> |
#<alt (* -1 (/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) x)) 2/27) x))) x))> |
#<alt 6> |
#<alt (+ 6 (* -9 x))> |
#<alt (+ 6 (* -9 x))> |
#<alt (+ 6 (* -9 x))> |
#<alt (* -9 x)> |
#<alt (* x (- (* 6 (/ 1 x)) 9))> |
#<alt (* x (- (* 6 (/ 1 x)) 9))> |
#<alt (* x (- (* 6 (/ 1 x)) 9))> |
#<alt (* -9 x)> |
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))> |
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))> |
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))> |
45 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (+ (* x 6) (* (* x x) -9)) |
| 0.0ms | x | @ | 0 | (+ (* x 6) (* (* x x) -9)) |
| 0.0ms | x | @ | -inf | (/ x (/ 1 (+ (* x -9) 6))) |
| 0.0ms | x | @ | inf | (* (* x x) -9) |
| 0.0ms | x | @ | inf | (/ x (/ 1 (+ (* x -9) 6))) |
| 1× | egg-herbie |
| 8 368× | lower-fma.f64 |
| 8 368× | lower-fma.f32 |
| 2 510× | lower-*.f64 |
| 2 510× | lower-*.f32 |
| 1 512× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 82 | 918 |
| 1 | 219 | 914 |
| 2 | 484 | 908 |
| 3 | 1023 | 908 |
| 4 | 2296 | 908 |
| 5 | 4204 | 908 |
| 6 | 6909 | 908 |
| 0 | 8116 | 812 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 6 x) |
(* x (+ 6 (* -9 x))) |
(* x (+ 6 (* -9 x))) |
(* x (+ 6 (* -9 x))) |
(* -9 (pow x 2)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* -9 (pow x 2)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 6 x) |
(* x (+ 6 (* -9 x))) |
(* x (+ 6 (* -9 x))) |
(* x (+ 6 (* -9 x))) |
(* -9 (pow x 2)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* -9 (pow x 2)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
6 |
(+ 6 (* -9 x)) |
(+ 6 (* -9 x)) |
(+ 6 (* -9 x)) |
(* -9 x) |
(* x (- (* 6 (/ 1 x)) 9)) |
(* x (- (* 6 (/ 1 x)) 9)) |
(* x (- (* 6 (/ 1 x)) 9)) |
(* -9 x) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(* 6 x) |
(* x (+ 6 (* -9 x))) |
(* x (+ 6 (* -9 x))) |
(* x (+ 6 (* -9 x))) |
(* -9 (pow x 2)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* -9 (pow x 2)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
6 |
(+ 6 (* -9 x)) |
(+ 6 (* -9 x)) |
(+ 6 (* -9 x)) |
(* -9 x) |
(* x (- (* 6 (/ 1 x)) 9)) |
(* x (- (* 6 (/ 1 x)) 9)) |
(* x (- (* 6 (/ 1 x)) 9)) |
(* -9 x) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* 6 x) |
(* x (+ 6 (* -9 x))) |
(* x (+ 6 (* -9 x))) |
(* x (+ 6 (* -9 x))) |
(* -9 (pow x 2)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* -9 (pow x 2)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
6 |
(+ 6 (* -9 x)) |
(+ 6 (* -9 x)) |
(+ 6 (* -9 x)) |
(* -9 x) |
(* x (- (* 6 (/ 1 x)) 9)) |
(* x (- (* 6 (/ 1 x)) 9)) |
(* x (- (* 6 (/ 1 x)) 9)) |
(* -9 x) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
2 |
(+ 2 (* -3 x)) |
(+ 2 (* -3 x)) |
(+ 2 (* -3 x)) |
(* -3 x) |
(* x (- (* 2 (/ 1 x)) 3)) |
(* x (- (* 2 (/ 1 x)) 3)) |
(* x (- (* 2 (/ 1 x)) 3)) |
(* -3 x) |
(* -1 (* x (- 3 (* 2 (/ 1 x))))) |
(* -1 (* x (- 3 (* 2 (/ 1 x))))) |
(* -1 (* x (- 3 (* 2 (/ 1 x))))) |
(* -3 x) |
(* -3 x) |
(* -3 x) |
(* -3 x) |
(* -3 x) |
(* -3 x) |
(* -3 x) |
(* -3 x) |
(* -3 x) |
(* -3 x) |
(* -3 x) |
(* -3 x) |
(* 6 x) |
(* x (+ 6 (* -9 x))) |
(* x (+ 6 (* -9 x))) |
(* x (+ 6 (* -9 x))) |
(* -9 (pow x 2)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* -9 (pow x 2)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
1/6 |
(+ 1/6 (* 1/4 x)) |
(+ 1/6 (* x (+ 1/4 (* 3/8 x)))) |
(+ 1/6 (* x (+ 1/4 (* x (+ 3/8 (* 9/16 x)))))) |
(/ -1/9 x) |
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x)) |
(/ (- (* -1 (/ (+ 2/27 (* 4/81 (/ 1 x))) x)) 1/9) x) |
(/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) (pow x 2))) (+ 1/9 (* 2/27 (/ 1 x)))) x) |
(/ -1/9 x) |
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x)) |
(* -1 (/ (+ 1/9 (+ (/ 4/81 (pow x 2)) (* 2/27 (/ 1 x)))) x)) |
(* -1 (/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) x)) 2/27) x))) x)) |
6 |
(+ 6 (* -9 x)) |
(+ 6 (* -9 x)) |
(+ 6 (* -9 x)) |
(* -9 x) |
(* x (- (* 6 (/ 1 x)) 9)) |
(* x (- (* 6 (/ 1 x)) 9)) |
(* x (- (* 6 (/ 1 x)) 9)) |
(* -9 x) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
| Outputs |
|---|
(* 6 x) |
(*.f64 x #s(literal 6 binary64)) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* 6 x) |
(*.f64 x #s(literal 6 binary64)) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
6 |
#s(literal 6 binary64) |
(+ 6 (* -9 x)) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
(+ 6 (* -9 x)) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
(+ 6 (* -9 x)) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* x (- (* 6 (/ 1 x)) 9)) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
(* x (- (* 6 (/ 1 x)) 9)) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
(* x (- (* 6 (/ 1 x)) 9)) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
(* 6 x) |
(*.f64 x #s(literal 6 binary64)) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
6 |
#s(literal 6 binary64) |
(+ 6 (* -9 x)) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
(+ 6 (* -9 x)) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
(+ 6 (* -9 x)) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* x (- (* 6 (/ 1 x)) 9)) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
(* x (- (* 6 (/ 1 x)) 9)) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
(* x (- (* 6 (/ 1 x)) 9)) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* 6 x) |
(*.f64 x #s(literal 6 binary64)) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
6 |
#s(literal 6 binary64) |
(+ 6 (* -9 x)) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
(+ 6 (* -9 x)) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
(+ 6 (* -9 x)) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* x (- (* 6 (/ 1 x)) 9)) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
(* x (- (* 6 (/ 1 x)) 9)) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
(* x (- (* 6 (/ 1 x)) 9)) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -3 x)) |
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)) |
(+ 2 (* -3 x)) |
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)) |
(+ 2 (* -3 x)) |
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)) |
(* -3 x) |
(*.f64 x #s(literal -3 binary64)) |
(* x (- (* 2 (/ 1 x)) 3)) |
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)) |
(* x (- (* 2 (/ 1 x)) 3)) |
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)) |
(* x (- (* 2 (/ 1 x)) 3)) |
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)) |
(* -3 x) |
(*.f64 x #s(literal -3 binary64)) |
(* -1 (* x (- 3 (* 2 (/ 1 x))))) |
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)) |
(* -1 (* x (- 3 (* 2 (/ 1 x))))) |
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)) |
(* -1 (* x (- 3 (* 2 (/ 1 x))))) |
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)) |
(* -3 x) |
(*.f64 x #s(literal -3 binary64)) |
(* -3 x) |
(*.f64 x #s(literal -3 binary64)) |
(* -3 x) |
(*.f64 x #s(literal -3 binary64)) |
(* -3 x) |
(*.f64 x #s(literal -3 binary64)) |
(* -3 x) |
(*.f64 x #s(literal -3 binary64)) |
(* -3 x) |
(*.f64 x #s(literal -3 binary64)) |
(* -3 x) |
(*.f64 x #s(literal -3 binary64)) |
(* -3 x) |
(*.f64 x #s(literal -3 binary64)) |
(* -3 x) |
(*.f64 x #s(literal -3 binary64)) |
(* -3 x) |
(*.f64 x #s(literal -3 binary64)) |
(* -3 x) |
(*.f64 x #s(literal -3 binary64)) |
(* -3 x) |
(*.f64 x #s(literal -3 binary64)) |
(* 6 x) |
(*.f64 x #s(literal 6 binary64)) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* 1/4 x)) |
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1/6 binary64)) |
(+ 1/6 (* x (+ 1/4 (* 3/8 x)))) |
(fma.f64 x (fma.f64 x #s(literal 3/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/6 binary64)) |
(+ 1/6 (* x (+ 1/4 (* x (+ 3/8 (* 9/16 x)))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 9/16 binary64) #s(literal 3/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/6 binary64)) |
(/ -1/9 x) |
(/.f64 #s(literal -1/9 binary64) x) |
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x)) |
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -2/27 binary64) x)) x) |
(/ (- (* -1 (/ (+ 2/27 (* 4/81 (/ 1 x))) x)) 1/9) x) |
(/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 (+.f64 #s(literal 2/27 binary64) (/.f64 #s(literal 4/81 binary64) x)) x)) x) |
(/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) (pow x 2))) (+ 1/9 (* 2/27 (/ 1 x)))) x) |
(/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 (fma.f64 #s(literal 2/27 binary64) x (+.f64 #s(literal 4/81 binary64) (/.f64 #s(literal 8/243 binary64) x))) (*.f64 x x))) x) |
(/ -1/9 x) |
(/.f64 #s(literal -1/9 binary64) x) |
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x)) |
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -2/27 binary64) x)) x) |
(* -1 (/ (+ 1/9 (+ (/ 4/81 (pow x 2)) (* 2/27 (/ 1 x)))) x)) |
(/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 (+.f64 #s(literal 2/27 binary64) (/.f64 #s(literal 4/81 binary64) x)) x)) x) |
(* -1 (/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) x)) 2/27) x))) x)) |
(/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 (fma.f64 #s(literal 2/27 binary64) x (+.f64 #s(literal 4/81 binary64) (/.f64 #s(literal 8/243 binary64) x))) (*.f64 x x))) x) |
6 |
#s(literal 6 binary64) |
(+ 6 (* -9 x)) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
(+ 6 (* -9 x)) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
(+ 6 (* -9 x)) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* x (- (* 6 (/ 1 x)) 9)) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
(* x (- (* 6 (/ 1 x)) 9)) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
(* x (- (* 6 (/ 1 x)) 9)) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
| 8 184× | lower-fma.f32 |
| 8 180× | lower-fma.f64 |
| 4 608× | lower-*.f32 |
| 4 592× | lower-*.f64 |
| 2 772× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 117 |
| 0 | 39 | 120 |
| 1 | 118 | 116 |
| 2 | 667 | 101 |
| 3 | 6586 | 101 |
| 0 | 8129 | 98 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 x #s(literal 6 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64))) |
(*.f64 (*.f64 x x) #s(literal -9 binary64)) |
(*.f64 x x) |
(*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x) |
#s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) |
(*.f64 #s(approx (* 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x)) x) |
#s(approx (* 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x)) |
(*.f64 #s(literal -9 binary64) x) |
(*.f64 (*.f64 #s(literal 3 binary64) #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))) x) |
(*.f64 #s(literal 3 binary64) #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))) |
#s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64))) |
(*.f64 x #s(literal -3 binary64)) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
| Outputs |
|---|
(+.f64 (*.f64 x (*.f64 x #s(literal -9 binary64))) (*.f64 x #s(literal 6 binary64))) |
(+.f64 (*.f64 x (*.f64 x #s(literal -9 binary64))) (*.f64 (neg.f64 x) #s(literal -6 binary64))) |
(+.f64 (*.f64 x (*.f64 x #s(literal -9 binary64))) (*.f64 #s(literal -6 binary64) (neg.f64 x))) |
(+.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 x (*.f64 x #s(literal -9 binary64)))) |
(+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 36 binary64))) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 81 binary64))))) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -9 binary64)))) (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 6 binary64)))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -9 binary64))))) |
(+.f64 (*.f64 (neg.f64 x) #s(literal -6 binary64)) (*.f64 x (*.f64 x #s(literal -9 binary64)))) |
(+.f64 (*.f64 #s(literal -6 binary64) (neg.f64 x)) (*.f64 x (*.f64 x #s(literal -9 binary64)))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64)))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 36 binary64))) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) (/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 81 binary64))))) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))) |
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 36 binary64))) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 81 binary64))))) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64)))) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64)))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 81 binary64))))) (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))) (/.f64 (*.f64 x (*.f64 x #s(literal 36 binary64))) (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))))) |
(fma.f64 x #s(literal 6 binary64) (*.f64 x (*.f64 x #s(literal -9 binary64)))) |
(fma.f64 x (*.f64 x #s(literal -9 binary64)) (*.f64 x #s(literal 6 binary64))) |
(fma.f64 x (*.f64 x #s(literal -9 binary64)) (*.f64 (neg.f64 x) #s(literal -6 binary64))) |
(fma.f64 x (*.f64 x #s(literal -9 binary64)) (*.f64 #s(literal -6 binary64) (neg.f64 x))) |
(fma.f64 x (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))) (*.f64 x #s(literal 6 binary64))) |
(fma.f64 x (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))) (*.f64 (neg.f64 x) #s(literal -6 binary64))) |
(fma.f64 x (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))) (*.f64 #s(literal -6 binary64) (neg.f64 x))) |
(fma.f64 x (/.f64 (*.f64 x #s(literal 36 binary64)) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 81 binary64))))) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))))) |
(fma.f64 #s(literal 6 binary64) x (*.f64 x (*.f64 x #s(literal -9 binary64)))) |
(fma.f64 #s(literal 6 binary64) (/.f64 (*.f64 x (*.f64 x #s(literal 6 binary64))) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal 81 binary64))))) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))))) |
(fma.f64 (*.f64 x x) #s(literal -9 binary64) (*.f64 x #s(literal 6 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -9 binary64) (*.f64 (neg.f64 x) #s(literal -6 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -9 binary64) (*.f64 #s(literal -6 binary64) (neg.f64 x))) |
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(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64)) (fma.f64 (fma.f64 x #s(literal 54 binary64) #s(literal 36 binary64)) (*.f64 (fma.f64 x #s(literal 54 binary64) #s(literal 36 binary64)) (fma.f64 x #s(literal 54 binary64) #s(literal 36 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 531441 binary64)))) (fma.f64 (fma.f64 x #s(literal 54 binary64) #s(literal 36 binary64)) (-.f64 (fma.f64 x #s(literal 54 binary64) #s(literal 36 binary64)) (*.f64 x (*.f64 x #s(literal 81 binary64)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 6561 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64)) (*.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64)) (+.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) (*.f64 x #s(literal -54 binary64))))) (+.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) (*.f64 x #s(literal -54 binary64)))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal -216 binary64))) (fma.f64 x (*.f64 x #s(literal 81 binary64)) (fma.f64 x #s(literal -54 binary64) #s(literal 36 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -27 binary64) #s(literal 8 binary64))) (fma.f64 (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (*.f64 (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))) #s(literal 64 binary64))) (fma.f64 (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (-.f64 (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) #s(literal 4 binary64)) #s(literal 16 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -27 binary64) #s(literal 8 binary64))) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64)))))) (-.f64 #s(literal 4 binary64) (*.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))))) |
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (fma.f64 x (*.f64 x #s(literal -9 binary64)) #s(literal 4 binary64))) (fma.f64 x (*.f64 x #s(literal -9 binary64)) #s(literal 4 binary64))) (fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64))) |
(*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (fma.f64 x (*.f64 x #s(literal -9 binary64)) #s(literal 4 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64) #s(literal 8 binary64))) (fma.f64 x (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64)) #s(literal 4 binary64))) |
Compiled 18 393 to 1 574 computations (91.4% saved)
11 alts after pruning (8 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 997 | 4 | 1 001 |
| Fresh | 1 | 4 | 5 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 000 | 11 | 1 011 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (fma.f64 x #s(literal 6 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64))) |
| ▶ | 91.3% | (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) |
| ▶ | 45.3% | (/.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x)) |
| 45.3% | (/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))) | |
| 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))) | |
| ▶ | 99.7% | (*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) |
| ▶ | 56.7% | (*.f64 (*.f64 x #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))) #s(literal 3 binary64)) |
| 99.7% | (*.f64 (*.f64 x #s(literal -3 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64))) | |
| ✓ | 56.7% | (*.f64 #s(approx (* 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x)) x) |
| ✓ | 45.4% | (*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x) |
| ▶ | 56.7% | #s(approx (* (* 3 (- 2 (* x 3))) x) (*.f64 #s(literal -9 binary64) (*.f64 x x))) |
Compiled 159 to 109 computations (31.4% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x #s(literal 81 binary64)) | |
| cost-diff | 0 | (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) | |
| cost-diff | 0 | (*.f64 x (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) | |
| cost-diff | 0 | (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) | |
| cost-diff | 1088 | (/.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (*.f64 x #s(literal -3 binary64)) | |
| cost-diff | 0 | #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64))) | |
| cost-diff | 0 | (*.f64 x #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 x #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))) #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 #s(literal -9 binary64) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (* (* 3 (- 2 (* x 3))) x) (*.f64 #s(literal -9 binary64) (*.f64 x x))) | |
| cost-diff | 0 | (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) |
| 3 200× | lower-fma.f32 |
| 3 194× | lower-fma.f64 |
| 2 168× | lower-*.f32 |
| 2 152× | lower-*.f64 |
| 1 328× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 144 |
| 0 | 47 | 144 |
| 1 | 86 | 142 |
| 2 | 136 | 133 |
| 3 | 199 | 133 |
| 4 | 303 | 133 |
| 5 | 444 | 133 |
| 6 | 621 | 133 |
| 7 | 975 | 133 |
| 8 | 1427 | 133 |
| 9 | 1838 | 133 |
| 10 | 2412 | 133 |
| 11 | 2875 | 133 |
| 12 | 3174 | 133 |
| 13 | 3327 | 133 |
| 14 | 3388 | 133 |
| 15 | 3429 | 133 |
| 16 | 3667 | 133 |
| 17 | 4057 | 133 |
| 18 | 4072 | 133 |
| 19 | 4192 | 133 |
| 20 | 4252 | 133 |
| 21 | 4391 | 133 |
| 22 | 4878 | 133 |
| 23 | 5177 | 133 |
| 24 | 5223 | 133 |
| 25 | 5327 | 133 |
| 26 | 5709 | 133 |
| 27 | 6521 | 133 |
| 28 | 7117 | 133 |
| 29 | 7397 | 133 |
| 30 | 7938 | 133 |
| 31 | 7970 | 133 |
| 0 | 8002 | 130 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
x |
#s(literal -9 binary64) |
#s(literal 6 binary64) |
#s(approx (* (* 3 (- 2 (* x 3))) x) (*.f64 #s(literal -9 binary64) (*.f64 x x))) |
(*.f64 #s(literal -9 binary64) (*.f64 x x)) |
#s(literal -9 binary64) |
(*.f64 x x) |
x |
(*.f64 (*.f64 x #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))) #s(literal 3 binary64)) |
(*.f64 x #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))) |
x |
#s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64))) |
(*.f64 x #s(literal -3 binary64)) |
#s(literal -3 binary64) |
#s(literal 3 binary64) |
(/.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) |
#s(literal 6 binary64) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) |
x |
(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) |
(*.f64 x #s(literal 81 binary64)) |
#s(literal 81 binary64) |
#s(literal -36 binary64) |
(fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)) |
#s(literal -9 binary64) |
#s(literal -6 binary64) |
| Outputs |
|---|
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
x |
#s(literal -9 binary64) |
#s(literal 6 binary64) |
#s(approx (* (* 3 (- 2 (* x 3))) x) (*.f64 #s(literal -9 binary64) (*.f64 x x))) |
#s(approx (* (* 3 (- 2 (* x 3))) x) (*.f64 x (*.f64 x #s(literal -9 binary64)))) |
(*.f64 #s(literal -9 binary64) (*.f64 x x)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
#s(literal -9 binary64) |
(*.f64 x x) |
x |
(*.f64 (*.f64 x #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))) #s(literal 3 binary64)) |
(*.f64 (*.f64 x #s(literal 3 binary64)) #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))) |
(*.f64 x #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))) |
x |
#s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64))) |
(*.f64 x #s(literal -3 binary64)) |
#s(literal -3 binary64) |
#s(literal 3 binary64) |
(/.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 x #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64))) |
#s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) |
#s(literal 6 binary64) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) |
x |
(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) |
(*.f64 x #s(literal 81 binary64)) |
#s(literal 81 binary64) |
#s(literal -36 binary64) |
(fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)) |
#s(literal -9 binary64) |
#s(literal -6 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 x #s(literal 81 binary64)) | |
| accuracy | 0.04296875 | (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) | |
| accuracy | 0.06640625 | (*.f64 x (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) | |
| accuracy | 5.555736762852373 | (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.21550751953688405 | (/.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 35.26436247475011 | #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) | |
| accuracy | 0 | (*.f64 x #s(literal -3 binary64)) | |
| accuracy | 0.0625 | (*.f64 x #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))) | |
| accuracy | 0.140625 | (*.f64 (*.f64 x #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))) #s(literal 3 binary64)) | |
| accuracy | 28.301671743060208 | #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64))) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.14969503162065376 | (*.f64 #s(literal -9 binary64) (*.f64 x x)) | |
| accuracy | 27.662463181902705 | #s(approx (* (* 3 (- 2 (* x 3))) x) (*.f64 #s(literal -9 binary64) (*.f64 x x))) | |
| accuracy | 0 | (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) | |
| accuracy | 0.171875 | (*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) |
| 51.0ms | 180× | 0 | valid |
| 15.0ms | 35× | 2 | valid |
| 11.0ms | 38× | 1 | valid |
| 1.0ms | 3× | 3 | valid |
Compiled 131 to 32 computations (75.6% saved)
ival-mult: 43.0ms (70.9% of total)ival-div: 6.0ms (9.9% of total)ival-add: 5.0ms (8.2% of total)adjust: 4.0ms (6.6% of total)ival-sub: 2.0ms (3.3% of total)exact: 1.0ms (1.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)> |
#<alt (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))> |
#<alt #s(approx (* (* 3 (- 2 (* x 3))) x) (*.f64 #s(literal -9 binary64) (*.f64 x x)))> |
#<alt (*.f64 #s(literal -9 binary64) (*.f64 x x))> |
#<alt (*.f64 x x)> |
#<alt (*.f64 (*.f64 x #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))) #s(literal 3 binary64))> |
#<alt (*.f64 x #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64))))> |
#<alt #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))> |
#<alt (*.f64 x #s(literal -3 binary64))> |
#<alt (/.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x))> |
#<alt #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64))> |
#<alt (/.f64 #s(literal 1 binary64) x)> |
#<alt (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))> |
#<alt (*.f64 x (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)))> |
#<alt (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))> |
#<alt (*.f64 x #s(literal 81 binary64))> |
| Outputs |
|---|
#<alt (* 6 x)> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* -9 (pow x 2))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* -9 (pow x 2))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt 6> |
#<alt (+ 6 (* -9 x))> |
#<alt (+ 6 (* -9 x))> |
#<alt (+ 6 (* -9 x))> |
#<alt (* -9 x)> |
#<alt (* x (- (* 6 (/ 1 x)) 9))> |
#<alt (* x (- (* 6 (/ 1 x)) 9))> |
#<alt (* x (- (* 6 (/ 1 x)) 9))> |
#<alt (* -9 x)> |
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))> |
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))> |
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))> |
#<alt (* 6 x)> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* -9 (pow x 2))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* -9 (pow x 2))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (* 6 x)> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* -9 (pow x 2))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* -9 (pow x 2))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* 2 x)> |
#<alt (* x (+ 2 (* -3 x)))> |
#<alt (* x (+ 2 (* -3 x)))> |
#<alt (* x (+ 2 (* -3 x)))> |
#<alt (* -3 (pow x 2))> |
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) 3))> |
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) 3))> |
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) 3))> |
#<alt (* -3 (pow x 2))> |
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) 3))> |
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) 3))> |
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) 3))> |
#<alt 2> |
#<alt (+ 2 (* -3 x))> |
#<alt (+ 2 (* -3 x))> |
#<alt (+ 2 (* -3 x))> |
#<alt (* -3 x)> |
#<alt (* x (- (* 2 (/ 1 x)) 3))> |
#<alt (* x (- (* 2 (/ 1 x)) 3))> |
#<alt (* x (- (* 2 (/ 1 x)) 3))> |
#<alt (* -3 x)> |
#<alt (* -1 (* x (- 3 (* 2 (/ 1 x)))))> |
#<alt (* -1 (* x (- 3 (* 2 (/ 1 x)))))> |
#<alt (* -1 (* x (- 3 (* 2 (/ 1 x)))))> |
#<alt (* -3 x)> |
#<alt (* -3 x)> |
#<alt (* -3 x)> |
#<alt (* -3 x)> |
#<alt (* -3 x)> |
#<alt (* -3 x)> |
#<alt (* -3 x)> |
#<alt (* -3 x)> |
#<alt (* -3 x)> |
#<alt (* -3 x)> |
#<alt (* -3 x)> |
#<alt (* -3 x)> |
#<alt (* 6 x)> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* -9 (pow x 2))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* -9 (pow x 2))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt 6> |
#<alt (+ 6 (* -9 x))> |
#<alt (+ 6 (* -9 x))> |
#<alt (+ 6 (* -9 x))> |
#<alt (* -9 x)> |
#<alt (* x (- (* 6 (/ 1 x)) 9))> |
#<alt (* x (- (* 6 (/ 1 x)) 9))> |
#<alt (* x (- (* 6 (/ 1 x)) 9))> |
#<alt (* -9 x)> |
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))> |
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))> |
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (* 6 x)> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* -9 (pow x 2))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* -9 (pow x 2))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* -36 x)> |
#<alt (* x (- (* 81 (pow x 2)) 36))> |
#<alt (* x (- (* 81 (pow x 2)) 36))> |
#<alt (* x (- (* 81 (pow x 2)) 36))> |
#<alt (* 81 (pow x 3))> |
#<alt (* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2)))))> |
#<alt (* 81 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81)))> |
#<alt (* -1 (* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81)))> |
#<alt (* -1 (* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81)))> |
#<alt -36> |
#<alt (- (* 81 (pow x 2)) 36)> |
#<alt (- (* 81 (pow x 2)) 36)> |
#<alt (- (* 81 (pow x 2)) 36)> |
#<alt (* 81 (pow x 2))> |
#<alt (* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))> |
#<alt (* 81 (pow x 2))> |
#<alt (* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))> |
#<alt (* 81 x)> |
#<alt (* 81 x)> |
#<alt (* 81 x)> |
#<alt (* 81 x)> |
#<alt (* 81 x)> |
#<alt (* 81 x)> |
#<alt (* 81 x)> |
#<alt (* 81 x)> |
#<alt (* 81 x)> |
#<alt (* 81 x)> |
#<alt (* 81 x)> |
#<alt (* 81 x)> |
48 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (/ (* x (+ (* x (* x 81)) -36)) (+ (* x -9) -6)) |
| 1.0ms | x | @ | inf | (/ (* x (+ (* x (* x 81)) -36)) (+ (* x -9) -6)) |
| 0.0ms | x | @ | -inf | (/ (* x (+ (* x (* x 81)) -36)) (+ (* x -9) -6)) |
| 0.0ms | x | @ | -inf | (* x 81) |
| 0.0ms | x | @ | inf | (* x 81) |
| 1× | egg-herbie |
| 4 334× | lower-fma.f64 |
| 4 334× | lower-fma.f32 |
| 2 712× | lower-*.f64 |
| 2 712× | lower-*.f32 |
| 1 578× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 984 |
| 1 | 137 | 984 |
| 2 | 315 | 984 |
| 3 | 828 | 984 |
| 4 | 2087 | 984 |
| 5 | 4960 | 984 |
| 6 | 6994 | 984 |
| 0 | 8050 | 885 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 6 x) |
(* x (+ 6 (* -9 x))) |
(* x (+ 6 (* -9 x))) |
(* x (+ 6 (* -9 x))) |
(* -9 (pow x 2)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* -9 (pow x 2)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
6 |
(+ 6 (* -9 x)) |
(+ 6 (* -9 x)) |
(+ 6 (* -9 x)) |
(* -9 x) |
(* x (- (* 6 (/ 1 x)) 9)) |
(* x (- (* 6 (/ 1 x)) 9)) |
(* x (- (* 6 (/ 1 x)) 9)) |
(* -9 x) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(* 6 x) |
(* x (+ 6 (* -9 x))) |
(* x (+ 6 (* -9 x))) |
(* x (+ 6 (* -9 x))) |
(* -9 (pow x 2)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* -9 (pow x 2)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 6 x) |
(* x (+ 6 (* -9 x))) |
(* x (+ 6 (* -9 x))) |
(* x (+ 6 (* -9 x))) |
(* -9 (pow x 2)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* -9 (pow x 2)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* 2 x) |
(* x (+ 2 (* -3 x))) |
(* x (+ 2 (* -3 x))) |
(* x (+ 2 (* -3 x))) |
(* -3 (pow x 2)) |
(* (pow x 2) (- (* 2 (/ 1 x)) 3)) |
(* (pow x 2) (- (* 2 (/ 1 x)) 3)) |
(* (pow x 2) (- (* 2 (/ 1 x)) 3)) |
(* -3 (pow x 2)) |
(* (pow x 2) (- (* 2 (/ 1 x)) 3)) |
(* (pow x 2) (- (* 2 (/ 1 x)) 3)) |
(* (pow x 2) (- (* 2 (/ 1 x)) 3)) |
2 |
(+ 2 (* -3 x)) |
(+ 2 (* -3 x)) |
(+ 2 (* -3 x)) |
(* -3 x) |
(* x (- (* 2 (/ 1 x)) 3)) |
(* x (- (* 2 (/ 1 x)) 3)) |
(* x (- (* 2 (/ 1 x)) 3)) |
(* -3 x) |
(* -1 (* x (- 3 (* 2 (/ 1 x))))) |
(* -1 (* x (- 3 (* 2 (/ 1 x))))) |
(* -1 (* x (- 3 (* 2 (/ 1 x))))) |
(* -3 x) |
(* -3 x) |
(* -3 x) |
(* -3 x) |
(* -3 x) |
(* -3 x) |
(* -3 x) |
(* -3 x) |
(* -3 x) |
(* -3 x) |
(* -3 x) |
(* -3 x) |
(* 6 x) |
(* x (+ 6 (* -9 x))) |
(* x (+ 6 (* -9 x))) |
(* x (+ 6 (* -9 x))) |
(* -9 (pow x 2)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* -9 (pow x 2)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
6 |
(+ 6 (* -9 x)) |
(+ 6 (* -9 x)) |
(+ 6 (* -9 x)) |
(* -9 x) |
(* x (- (* 6 (/ 1 x)) 9)) |
(* x (- (* 6 (/ 1 x)) 9)) |
(* x (- (* 6 (/ 1 x)) 9)) |
(* -9 x) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(* 6 x) |
(* x (+ 6 (* -9 x))) |
(* x (+ 6 (* -9 x))) |
(* x (+ 6 (* -9 x))) |
(* -9 (pow x 2)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* -9 (pow x 2)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* -36 x) |
(* x (- (* 81 (pow x 2)) 36)) |
(* x (- (* 81 (pow x 2)) 36)) |
(* x (- (* 81 (pow x 2)) 36)) |
(* 81 (pow x 3)) |
(* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2))))) |
(* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2))))) |
(* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2))))) |
(* 81 (pow x 3)) |
(* -1 (* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81))) |
(* -1 (* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81))) |
(* -1 (* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81))) |
-36 |
(- (* 81 (pow x 2)) 36) |
(- (* 81 (pow x 2)) 36) |
(- (* 81 (pow x 2)) 36) |
(* 81 (pow x 2)) |
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2))))) |
(* 81 (pow x 2)) |
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2))))) |
(* 81 x) |
(* 81 x) |
(* 81 x) |
(* 81 x) |
(* 81 x) |
(* 81 x) |
(* 81 x) |
(* 81 x) |
(* 81 x) |
(* 81 x) |
(* 81 x) |
(* 81 x) |
| Outputs |
|---|
(* 6 x) |
(*.f64 x #s(literal 6 binary64)) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* -9 (pow x 2)) |
(*.f64 #s(literal -9 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* -9 (pow x 2)) |
(*.f64 #s(literal -9 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
6 |
#s(literal 6 binary64) |
(+ 6 (* -9 x)) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
(+ 6 (* -9 x)) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
(+ 6 (* -9 x)) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* x (- (* 6 (/ 1 x)) 9)) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
(* x (- (* 6 (/ 1 x)) 9)) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
(* x (- (* 6 (/ 1 x)) 9)) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
(* 6 x) |
(*.f64 x #s(literal 6 binary64)) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* -9 (pow x 2)) |
(*.f64 #s(literal -9 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* -9 (pow x 2)) |
(*.f64 #s(literal -9 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* -9 (pow x 2)) |
(*.f64 #s(literal -9 binary64) (*.f64 x x)) |
(* -9 (pow x 2)) |
(*.f64 #s(literal -9 binary64) (*.f64 x x)) |
(* -9 (pow x 2)) |
(*.f64 #s(literal -9 binary64) (*.f64 x x)) |
(* -9 (pow x 2)) |
(*.f64 #s(literal -9 binary64) (*.f64 x x)) |
(* -9 (pow x 2)) |
(*.f64 #s(literal -9 binary64) (*.f64 x x)) |
(* -9 (pow x 2)) |
(*.f64 #s(literal -9 binary64) (*.f64 x x)) |
(* -9 (pow x 2)) |
(*.f64 #s(literal -9 binary64) (*.f64 x x)) |
(* -9 (pow x 2)) |
(*.f64 #s(literal -9 binary64) (*.f64 x x)) |
(* -9 (pow x 2)) |
(*.f64 #s(literal -9 binary64) (*.f64 x x)) |
(* -9 (pow x 2)) |
(*.f64 #s(literal -9 binary64) (*.f64 x x)) |
(* -9 (pow x 2)) |
(*.f64 #s(literal -9 binary64) (*.f64 x x)) |
(* -9 (pow x 2)) |
(*.f64 #s(literal -9 binary64) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* 6 x) |
(*.f64 x #s(literal 6 binary64)) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* -9 (pow x 2)) |
(*.f64 #s(literal -9 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* -9 (pow x 2)) |
(*.f64 #s(literal -9 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* x (+ 2 (* -3 x))) |
(*.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64))) |
(* x (+ 2 (* -3 x))) |
(*.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64))) |
(* x (+ 2 (* -3 x))) |
(*.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64))) |
(* -3 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -3 binary64))) |
(* (pow x 2) (- (* 2 (/ 1 x)) 3)) |
(*.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64))) |
(* (pow x 2) (- (* 2 (/ 1 x)) 3)) |
(*.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64))) |
(* (pow x 2) (- (* 2 (/ 1 x)) 3)) |
(*.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64))) |
(* -3 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -3 binary64))) |
(* (pow x 2) (- (* 2 (/ 1 x)) 3)) |
(*.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64))) |
(* (pow x 2) (- (* 2 (/ 1 x)) 3)) |
(*.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64))) |
(* (pow x 2) (- (* 2 (/ 1 x)) 3)) |
(*.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -3 x)) |
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)) |
(+ 2 (* -3 x)) |
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)) |
(+ 2 (* -3 x)) |
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)) |
(* -3 x) |
(*.f64 x #s(literal -3 binary64)) |
(* x (- (* 2 (/ 1 x)) 3)) |
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)) |
(* x (- (* 2 (/ 1 x)) 3)) |
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)) |
(* x (- (* 2 (/ 1 x)) 3)) |
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)) |
(* -3 x) |
(*.f64 x #s(literal -3 binary64)) |
(* -1 (* x (- 3 (* 2 (/ 1 x))))) |
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)) |
(* -1 (* x (- 3 (* 2 (/ 1 x))))) |
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)) |
(* -1 (* x (- 3 (* 2 (/ 1 x))))) |
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)) |
(* -3 x) |
(*.f64 x #s(literal -3 binary64)) |
(* -3 x) |
(*.f64 x #s(literal -3 binary64)) |
(* -3 x) |
(*.f64 x #s(literal -3 binary64)) |
(* -3 x) |
(*.f64 x #s(literal -3 binary64)) |
(* -3 x) |
(*.f64 x #s(literal -3 binary64)) |
(* -3 x) |
(*.f64 x #s(literal -3 binary64)) |
(* -3 x) |
(*.f64 x #s(literal -3 binary64)) |
(* -3 x) |
(*.f64 x #s(literal -3 binary64)) |
(* -3 x) |
(*.f64 x #s(literal -3 binary64)) |
(* -3 x) |
(*.f64 x #s(literal -3 binary64)) |
(* -3 x) |
(*.f64 x #s(literal -3 binary64)) |
(* -3 x) |
(*.f64 x #s(literal -3 binary64)) |
(* 6 x) |
(*.f64 x #s(literal 6 binary64)) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* -9 (pow x 2)) |
(*.f64 #s(literal -9 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* -9 (pow x 2)) |
(*.f64 #s(literal -9 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
6 |
#s(literal 6 binary64) |
(+ 6 (* -9 x)) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
(+ 6 (* -9 x)) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
(+ 6 (* -9 x)) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* x (- (* 6 (/ 1 x)) 9)) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
(* x (- (* 6 (/ 1 x)) 9)) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
(* x (- (* 6 (/ 1 x)) 9)) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(* 6 x) |
(*.f64 x #s(literal 6 binary64)) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* -9 (pow x 2)) |
(*.f64 #s(literal -9 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* -9 (pow x 2)) |
(*.f64 #s(literal -9 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* -36 x) |
(*.f64 x #s(literal -36 binary64)) |
(* x (- (* 81 (pow x 2)) 36)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) |
(* x (- (* 81 (pow x 2)) 36)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) |
(* x (- (* 81 (pow x 2)) 36)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) |
(* 81 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 81 binary64))) |
(* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) |
(* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) |
(* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) |
(* 81 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 81 binary64))) |
(* -1 (* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) |
(* -1 (* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) |
(* -1 (* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) |
-36 |
#s(literal -36 binary64) |
(- (* 81 (pow x 2)) 36) |
(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) |
(- (* 81 (pow x 2)) 36) |
(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) |
(- (* 81 (pow x 2)) 36) |
(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) |
(* 81 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 81 binary64)) |
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) |
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) |
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) |
(* 81 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 81 binary64)) |
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) |
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) |
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2))))) |
(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) |
(* 81 x) |
(*.f64 x #s(literal 81 binary64)) |
(* 81 x) |
(*.f64 x #s(literal 81 binary64)) |
(* 81 x) |
(*.f64 x #s(literal 81 binary64)) |
(* 81 x) |
(*.f64 x #s(literal 81 binary64)) |
(* 81 x) |
(*.f64 x #s(literal 81 binary64)) |
(* 81 x) |
(*.f64 x #s(literal 81 binary64)) |
(* 81 x) |
(*.f64 x #s(literal 81 binary64)) |
(* 81 x) |
(*.f64 x #s(literal 81 binary64)) |
(* 81 x) |
(*.f64 x #s(literal 81 binary64)) |
(* 81 x) |
(*.f64 x #s(literal 81 binary64)) |
(* 81 x) |
(*.f64 x #s(literal 81 binary64)) |
(* 81 x) |
(*.f64 x #s(literal 81 binary64)) |
| 7 240× | lower-fma.f32 |
| 7 234× | lower-fma.f64 |
| 5 444× | lower-*.f32 |
| 5 428× | lower-*.f64 |
| 4 088× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 124 |
| 0 | 47 | 117 |
| 1 | 160 | 115 |
| 2 | 909 | 106 |
| 0 | 8652 | 103 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
#s(approx (* (* 3 (- 2 (* x 3))) x) (*.f64 #s(literal -9 binary64) (*.f64 x x))) |
(*.f64 #s(literal -9 binary64) (*.f64 x x)) |
(*.f64 x x) |
(*.f64 (*.f64 x #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))) #s(literal 3 binary64)) |
(*.f64 x #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))) |
#s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64))) |
(*.f64 x #s(literal -3 binary64)) |
(/.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x)) |
#s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) |
(fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) |
(*.f64 x #s(literal 81 binary64)) |
| Outputs |
|---|
(+.f64 (*.f64 x (*.f64 x #s(literal -9 binary64))) (*.f64 x #s(literal 6 binary64))) |
(+.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 x (*.f64 x #s(literal -9 binary64)))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (*.f64 (*.f64 x x) (*.f64 x #s(literal 81 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (*.f64 x #s(literal -36 binary64)))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (*.f64 x #s(literal -36 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (*.f64 (*.f64 x x) (*.f64 x #s(literal 81 binary64))))) |
(+.f64 (*.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal -216 binary64))) (*.f64 x (*.f64 x #s(literal 81 binary64)))) (*.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal -216 binary64))) (+.f64 #s(literal 36 binary64) (*.f64 x #s(literal -54 binary64))))) |
(+.f64 (*.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal -216 binary64))) (+.f64 #s(literal 36 binary64) (*.f64 x #s(literal -54 binary64)))) (*.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal -216 binary64))) (*.f64 x (*.f64 x #s(literal 81 binary64))))) |
(+.f64 (*.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) #s(literal 6 binary64)) (*.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (*.f64 x #s(literal -9 binary64)))) |
(+.f64 (*.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (*.f64 x #s(literal -9 binary64))) (*.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) #s(literal 6 binary64))) |
(+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal 81 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))) (*.f64 (*.f64 x #s(literal -36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))))) |
(+.f64 (*.f64 (*.f64 x #s(literal -36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal 81 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))))) |
(+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal -216 binary64)))) (*.f64 (+.f64 #s(literal 36 binary64) (*.f64 x #s(literal -54 binary64))) (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal -216 binary64))))) |
(+.f64 (*.f64 (+.f64 #s(literal 36 binary64) (*.f64 x #s(literal -54 binary64))) (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal -216 binary64)))) (*.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal -216 binary64))))) |
(+.f64 (*.f64 #s(literal 6 binary64) (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)))) (*.f64 (*.f64 x #s(literal -9 binary64)) (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))))) |
(+.f64 (*.f64 (*.f64 x #s(literal -9 binary64)) (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)))) (*.f64 #s(literal 6 binary64) (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) (neg.f64 (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))) |
(fma.f64 x #s(literal 6 binary64) (*.f64 x (*.f64 x #s(literal -9 binary64)))) |
(fma.f64 x (*.f64 x #s(literal -9 binary64)) (*.f64 x #s(literal 6 binary64))) |
(fma.f64 #s(literal -9 binary64) (*.f64 x x) (*.f64 x #s(literal 6 binary64))) |
(fma.f64 #s(literal 6 binary64) x (*.f64 x (*.f64 x #s(literal -9 binary64)))) |
(fma.f64 #s(literal 6 binary64) (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (*.f64 (*.f64 x #s(literal -9 binary64)) (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))))) |
(fma.f64 #s(literal 3 binary64) (neg.f64 (*.f64 x (*.f64 x #s(literal 3 binary64)))) (*.f64 x #s(literal 6 binary64))) |
(fma.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 x #s(literal -9 binary64)))) |
(fma.f64 #s(literal 3 binary64) (*.f64 (neg.f64 x) (*.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 6 binary64))) |
(fma.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal -9 binary64)))) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal -9 binary64)))) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal -3 binary64)) (*.f64 x #s(literal 6 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -9 binary64) (*.f64 x #s(literal 6 binary64))) |
(fma.f64 (*.f64 x (*.f64 x #s(literal -9 binary64))) #s(literal 1 binary64) (*.f64 x #s(literal 6 binary64))) |
(fma.f64 #s(literal -3 binary64) (*.f64 x (*.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 6 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -9 binary64))) (*.f64 x #s(literal 6 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 6 binary64)) (*.f64 x (*.f64 x #s(literal -9 binary64)))) |
(fma.f64 #s(literal -6 binary64) (neg.f64 x) (*.f64 x (*.f64 x #s(literal -9 binary64)))) |
(fma.f64 (*.f64 x #s(literal -9 binary64)) x (*.f64 x #s(literal 6 binary64))) |
(fma.f64 (*.f64 x #s(literal -9 binary64)) (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (*.f64 #s(literal 6 binary64) (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 x #s(literal 6 binary64))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(literal 6 binary64)) (*.f64 x (*.f64 x #s(literal -9 binary64)))) |
(fma.f64 (neg.f64 x) (*.f64 x #s(literal 9 binary64)) (*.f64 x #s(literal 6 binary64))) |
(fma.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal -216 binary64))) (*.f64 (+.f64 #s(literal 36 binary64) (*.f64 x #s(literal -54 binary64))) (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal -216 binary64))))) |
(fma.f64 (+.f64 #s(literal 36 binary64) (*.f64 x #s(literal -54 binary64))) (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal -216 binary64))) (*.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) (/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal -216 binary64))))) |
(fma.f64 (*.f64 x #s(literal 6 binary64)) #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -9 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (*.f64 (*.f64 x x) (*.f64 x #s(literal 81 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (*.f64 x #s(literal -36 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (*.f64 x #s(literal -36 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (*.f64 (*.f64 x x) (*.f64 x #s(literal 81 binary64))))) |
(fma.f64 (*.f64 x #s(literal -3 binary64)) (*.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 6 binary64))) |
(fma.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal 81 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (*.f64 (*.f64 x #s(literal -36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))))) |
(fma.f64 (*.f64 x #s(literal -36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x #s(literal 81 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))))) |
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(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64)) #s(literal -36 binary64)) |
(fma.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) #s(literal 1 binary64) #s(literal -36 binary64)) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 6561 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal 36 binary64))) (neg.f64 (/.f64 #s(literal 1296 binary64) (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal 36 binary64))))) |
(fma.f64 (pow.f64 (*.f64 x #s(literal -9 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x #s(literal -9 binary64)) #s(literal 1 binary64)) #s(literal -36 binary64)) |
(fma.f64 (*.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -1 binary64)) (neg.f64 x) #s(literal -36 binary64)) |
(neg.f64 (fma.f64 (*.f64 x x) #s(literal -81 binary64) #s(literal 36 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1296 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 6561 binary64)) #s(literal -2916 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 531441 binary64)) #s(literal -46656 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -36 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64))) (-.f64 #s(literal 1296 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 6561 binary64))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 531441 binary64)) #s(literal -46656 binary64)) (+.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 6561 binary64))) #s(literal 1296 binary64)) (*.f64 (*.f64 x x) #s(literal 2916 binary64)))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 531441 binary64)) #s(literal -46656 binary64)) (+.f64 #s(literal 1296 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 6561 binary64)) #s(literal -2916 binary64))))) |
(/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 6561 binary64))) #s(literal -1296 binary64)) (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal 36 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 531441 binary64)) #s(literal -46656 binary64))) (neg.f64 (+.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 6561 binary64))) #s(literal 1296 binary64)) (*.f64 (*.f64 x x) #s(literal 2916 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 531441 binary64)) #s(literal -46656 binary64))) (neg.f64 (+.f64 #s(literal 1296 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 6561 binary64)) #s(literal -2916 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 6561 binary64))) #s(literal -1296 binary64))) (fma.f64 (*.f64 x x) #s(literal -81 binary64) #s(literal -36 binary64))) |
(/.f64 (-.f64 #s(literal 1296 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 6561 binary64))))) (+.f64 #s(literal -36 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 6561 binary64)))) (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal 36 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal 36 binary64)) #s(literal 1296 binary64))) (*.f64 (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal 36 binary64)) (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal 36 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 282429536481 binary64) #s(literal -2176782336 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 531441 binary64)) #s(literal 46656 binary64)) (+.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 6561 binary64))) #s(literal 1296 binary64)) (*.f64 (*.f64 x x) #s(literal 2916 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 282429536481 binary64) #s(literal -2176782336 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 43046721 binary64) (+.f64 #s(literal 1679616 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 8503056 binary64)))) (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal 36 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 43046721 binary64) #s(literal -1679616 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 6561 binary64))) #s(literal 1296 binary64)) (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal 36 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 531441 binary64)) #s(literal -46656 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 6561 binary64))) #s(literal 1296 binary64)) (*.f64 (*.f64 x x) #s(literal 2916 binary64)))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 6561 binary64))) #s(literal -1296 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal 36 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 531441 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 282429536481 binary64)) #s(literal -101559956668416 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 282429536481 binary64) #s(literal 2176782336 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -24794911296 binary64))) (+.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 6561 binary64))) #s(literal 1296 binary64)) (*.f64 (*.f64 x x) #s(literal 2916 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 531441 binary64)) #s(literal -46656 binary64)))) (neg.f64 (neg.f64 (+.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 6561 binary64))) #s(literal 1296 binary64)) (*.f64 (*.f64 x x) #s(literal 2916 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 6561 binary64))) #s(literal -1296 binary64)))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal -81 binary64) #s(literal -36 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1296 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 6561 binary64)))))) (neg.f64 (+.f64 #s(literal -36 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 6561 binary64)))) (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal 36 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1296 binary64) (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal 36 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 6561 binary64)))) (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal 36 binary64))) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 6561 binary64)))) (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal 36 binary64))) (fma.f64 (/.f64 #s(literal 1296 binary64) (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal 36 binary64))) (/.f64 #s(literal 1296 binary64) (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal 36 binary64))) (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 6561 binary64)))) (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal 36 binary64))) (/.f64 #s(literal 1296 binary64) (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal 36 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 6561 binary64)))) (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal 36 binary64))) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 6561 binary64)))) (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal 36 binary64)))) (*.f64 (/.f64 #s(literal 1296 binary64) (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal 36 binary64))) (/.f64 #s(literal 1296 binary64) (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal 36 binary64))))) (+.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 6561 binary64)))) (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal 36 binary64))) (/.f64 #s(literal 1296 binary64) (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal 36 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 531441 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 282429536481 binary64)) #s(literal -101559956668416 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 6561 binary64))) #s(literal 1296 binary64)) (*.f64 (*.f64 x x) #s(literal 2916 binary64))))) (-.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 282429536481 binary64) #s(literal 2176782336 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -24794911296 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 282429536481 binary64) #s(literal -2176782336 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 6561 binary64))) #s(literal 1296 binary64)) (*.f64 (*.f64 x x) #s(literal 2916 binary64))))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 531441 binary64)) #s(literal 46656 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 282429536481 binary64) #s(literal -2176782336 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal 36 binary64)))) (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 43046721 binary64) (+.f64 #s(literal 1679616 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 8503056 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 43046721 binary64) #s(literal -1679616 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal 36 binary64)))) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 6561 binary64))) #s(literal 1296 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 531441 binary64)) #s(literal -46656 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 6561 binary64))) #s(literal 1296 binary64)) (*.f64 (*.f64 x x) #s(literal 2916 binary64))))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 531441 binary64)) #s(literal -46656 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1296 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 6561 binary64)) #s(literal -2916 binary64)))))) |
(*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 6561 binary64))) #s(literal -1296 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal 36 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 531441 binary64)) #s(literal -46656 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 6561 binary64))) #s(literal 1296 binary64)) (*.f64 (*.f64 x x) #s(literal 2916 binary64)))))) |
(*.f64 (neg.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 6561 binary64))) #s(literal -1296 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -81 binary64) #s(literal -36 binary64)))) |
(*.f64 (-.f64 #s(literal 1296 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 6561 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -36 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64))))) |
(/.f64 #s(literal 81 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 x #s(literal 81 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal -81 binary64) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (*.f64 (neg.f64 x) #s(literal 81 binary64)) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal 81 binary64) (neg.f64 x)) #s(literal -1 binary64)) |
(*.f64 x #s(literal 81 binary64)) |
(*.f64 #s(literal -9 binary64) (*.f64 x #s(literal -9 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 81 binary64))) |
(*.f64 #s(literal 81 binary64) x) |
(*.f64 (*.f64 x #s(literal 81 binary64)) #s(literal 1 binary64)) |
(*.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -9 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(literal 81 binary64))) |
(*.f64 #s(literal -81 binary64) (neg.f64 x)) |
Compiled 29 181 to 2 216 computations (92.4% saved)
11 alts after pruning (4 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 373 | 2 | 1 375 |
| Fresh | 1 | 2 | 3 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 375 | 11 | 1 386 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (fma.f64 x #s(literal 6 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64))) |
| ▶ | 44.1% | (/.f64 (*.f64 x #s(approx (+ (* x (* x 81)) -36) #s(literal -36 binary64))) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) |
| ✓ | 45.3% | (/.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x)) |
| ▶ | 45.3% | (/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))) |
| ▶ | 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))) |
| ▶ | 99.7% | (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)) (*.f64 x #s(literal 3 binary64))) |
| ✓ | 99.7% | (*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) |
| ✓ | 56.7% | (*.f64 (*.f64 x #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))) #s(literal 3 binary64)) |
| ✓ | 56.7% | (*.f64 #s(approx (* 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x)) x) |
| ✓ | 45.4% | (*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x) |
| ✓ | 56.7% | #s(approx (* (* 3 (- 2 (* x 3))) x) (*.f64 #s(literal -9 binary64) (*.f64 x x))) |
Compiled 86 to 58 computations (32.6% saved)
| 1× | egg-herbie |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* x (* x 81)) -36) #s(literal -36 binary64)) | |
| cost-diff | 0 | (*.f64 x #s(approx (+ (* x (* x 81)) -36) #s(literal -36 binary64))) | |
| cost-diff | 0 | (/.f64 (*.f64 x #s(approx (+ (* x (* x 81)) -36) #s(literal -36 binary64))) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) | |
| cost-diff | 0 | #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)) | |
| cost-diff | 0 | (/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))) | |
| cost-diff | 0 | (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) | |
| cost-diff | 0 | (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))) | |
| cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))) | |
| cost-diff | 0 | (*.f64 x #s(literal 3 binary64)) | |
| cost-diff | 0 | (fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)) | |
| cost-diff | 320 | (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)) (*.f64 x #s(literal 3 binary64))) |
| 360× | lower-*.f32 |
| 352× | lower-*.f64 |
| 254× | lower-/.f32 |
| 246× | lower-/.f64 |
| 208× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 115 |
| 0 | 42 | 115 |
| 1 | 72 | 115 |
| 2 | 121 | 115 |
| 3 | 189 | 109 |
| 4 | 326 | 109 |
| 5 | 457 | 109 |
| 6 | 595 | 109 |
| 7 | 703 | 108 |
| 8 | 815 | 108 |
| 9 | 828 | 108 |
| 10 | 830 | 108 |
| 0 | 830 | 105 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)) (*.f64 x #s(literal 3 binary64))) |
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)) |
x |
#s(literal -3 binary64) |
#s(literal 2 binary64) |
(*.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
x |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
#s(literal -9 binary64) |
#s(literal 6 binary64) |
(/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))) |
x |
#s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
(/.f64 (*.f64 x #s(approx (+ (* x (* x 81)) -36) #s(literal -36 binary64))) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) |
(*.f64 x #s(approx (+ (* x (* x 81)) -36) #s(literal -36 binary64))) |
x |
#s(approx (+ (* x (* x 81)) -36) #s(literal -36 binary64)) |
#s(literal -36 binary64) |
(fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)) |
#s(literal -9 binary64) |
#s(literal -6 binary64) |
| Outputs |
|---|
(*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)) (*.f64 x #s(literal 3 binary64))) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)) |
x |
#s(literal -3 binary64) |
#s(literal 2 binary64) |
(*.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
x |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
#s(literal -9 binary64) |
#s(literal 6 binary64) |
(/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))) |
x |
#s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
(/.f64 (*.f64 x #s(approx (+ (* x (* x 81)) -36) #s(literal -36 binary64))) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) |
(*.f64 x #s(approx (+ (* x (* x 81)) -36) #s(literal -36 binary64))) |
x |
#s(approx (+ (* x (* x 81)) -36) #s(literal -36 binary64)) |
#s(literal -36 binary64) |
(fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)) |
#s(literal -9 binary64) |
#s(literal -6 binary64) |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)) | |
| accuracy | 0.06640625 | (*.f64 x #s(approx (+ (* x (* x 81)) -36) #s(literal -36 binary64))) | |
| accuracy | 5.555736762852373 | (/.f64 (*.f64 x #s(approx (+ (* x (* x 81)) -36) #s(literal -36 binary64))) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) | |
| accuracy | 35.68415427121588 | #s(approx (+ (* x (* x 81)) -36) #s(literal -36 binary64)) | |
| accuracy | 0.23046875 | (/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))) | |
| accuracy | 35.051166521521154 | #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)) | |
| accuracy | 0 | (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) | |
| accuracy | 0.171875 | (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) | |
| accuracy | 0.18359375 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))) | |
| accuracy | 0.5859666646187895 | (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))) | |
| accuracy | 0 | (fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)) | |
| accuracy | 0 | (*.f64 x #s(literal 3 binary64)) | |
| accuracy | 0.18359375 | (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)) (*.f64 x #s(literal 3 binary64))) |
| 280.0ms | 180× | 0 | valid |
| 19.0ms | 35× | 2 | valid |
| 10.0ms | 38× | 1 | valid |
| 1.0ms | 3× | 3 | valid |
Compiled 117 to 30 computations (74.4% saved)
ival-add: 256.0ms (86.8% of total)ival-mult: 14.0ms (4.7% of total)ival-div: 11.0ms (3.7% of total)adjust: 9.0ms (3.1% of total)const: 4.0ms (1.4% of total)exact: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)) (*.f64 x #s(literal 3 binary64)))> |
#<alt (fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64))> |
#<alt (*.f64 x #s(literal 3 binary64))> |
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))))> |
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))> |
#<alt (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))> |
#<alt (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))> |
#<alt (/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)))> |
#<alt #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))> |
#<alt (/.f64 (*.f64 x #s(approx (+ (* x (* x 81)) -36) #s(literal -36 binary64))) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)))> |
#<alt (*.f64 x #s(approx (+ (* x (* x 81)) -36) #s(literal -36 binary64)))> |
#<alt #s(approx (+ (* x (* x 81)) -36) #s(literal -36 binary64))> |
#<alt (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))> |
| Outputs |
|---|
#<alt (* 6 x)> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* -9 (pow x 2))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* -9 (pow x 2))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt 2> |
#<alt (+ 2 (* -3 x))> |
#<alt (+ 2 (* -3 x))> |
#<alt (+ 2 (* -3 x))> |
#<alt (* -3 x)> |
#<alt (* x (- (* 2 (/ 1 x)) 3))> |
#<alt (* x (- (* 2 (/ 1 x)) 3))> |
#<alt (* x (- (* 2 (/ 1 x)) 3))> |
#<alt (* -3 x)> |
#<alt (* -1 (* x (- 3 (* 2 (/ 1 x)))))> |
#<alt (* -1 (* x (- 3 (* 2 (/ 1 x)))))> |
#<alt (* -1 (* x (- 3 (* 2 (/ 1 x)))))> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 6 x)> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* -9 (pow x 2))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* -9 (pow x 2))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (/ 1/6 x)> |
#<alt (/ (+ 1/6 (* 1/4 x)) x)> |
#<alt (/ (+ 1/6 (* x (+ 1/4 (* 3/8 x)))) x)> |
#<alt (/ (+ 1/6 (* x (+ 1/4 (* x (+ 3/8 (* 9/16 x)))))) x)> |
#<alt (/ -1/9 (pow x 2))> |
#<alt (* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) (pow x 2)))> |
#<alt (/ (- (* -1 (/ (+ 2/27 (* 4/81 (/ 1 x))) x)) 1/9) (pow x 2))> |
#<alt (/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) (pow x 2))) (+ 1/9 (* 2/27 (/ 1 x)))) (pow x 2))> |
#<alt (/ -1/9 (pow x 2))> |
#<alt (* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) (pow x 2)))> |
#<alt (/ (- (* -1 (/ (+ 2/27 (* 4/81 (/ 1 x))) x)) 1/9) (pow x 2))> |
#<alt (/ (- (* -1 (/ (+ 2/27 (+ (/ 8/243 (pow x 2)) (* 4/81 (/ 1 x)))) x)) 1/9) (pow x 2))> |
#<alt (* 6 x)> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* -9 (pow x 2))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* -9 (pow x 2))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt 6> |
#<alt (+ 6 (* -9 x))> |
#<alt (+ 6 (* -9 x))> |
#<alt (+ 6 (* -9 x))> |
#<alt (* -9 x)> |
#<alt (* x (- (* 6 (/ 1 x)) 9))> |
#<alt (* x (- (* 6 (/ 1 x)) 9))> |
#<alt (* x (- (* 6 (/ 1 x)) 9))> |
#<alt (* -9 x)> |
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))> |
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))> |
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))> |
#<alt (* 6 x)> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* -9 (pow x 2))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* -9 (pow x 2))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt 1/6> |
#<alt (+ 1/6 (* 1/4 x))> |
#<alt (+ 1/6 (* x (+ 1/4 (* 3/8 x))))> |
#<alt (+ 1/6 (* x (+ 1/4 (* x (+ 3/8 (* 9/16 x))))))> |
#<alt (/ -1/9 x)> |
#<alt (* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x))> |
#<alt (/ (- (* -1 (/ (+ 2/27 (* 4/81 (/ 1 x))) x)) 1/9) x)> |
#<alt (/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) (pow x 2))) (+ 1/9 (* 2/27 (/ 1 x)))) x)> |
#<alt (/ -1/9 x)> |
#<alt (* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x))> |
#<alt (* -1 (/ (+ 1/9 (+ (/ 4/81 (pow x 2)) (* 2/27 (/ 1 x)))) x))> |
#<alt (* -1 (/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) x)) 2/27) x))) x))> |
#<alt (* 6 x)> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* -9 (pow x 2))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* -9 (pow x 2))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* -36 x)> |
#<alt (* x (- (* 81 (pow x 2)) 36))> |
#<alt (* x (- (* 81 (pow x 2)) 36))> |
#<alt (* x (- (* 81 (pow x 2)) 36))> |
#<alt (* 81 (pow x 3))> |
#<alt (* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2)))))> |
#<alt (* 81 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81)))> |
#<alt (* -1 (* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81)))> |
#<alt (* -1 (* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81)))> |
#<alt -36> |
#<alt (- (* 81 (pow x 2)) 36)> |
#<alt (- (* 81 (pow x 2)) 36)> |
#<alt (- (* 81 (pow x 2)) 36)> |
#<alt (* 81 (pow x 2))> |
#<alt (* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))> |
#<alt (* 81 (pow x 2))> |
#<alt (* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))> |
#<alt -6> |
#<alt (- (* -9 x) 6)> |
#<alt (- (* -9 x) 6)> |
#<alt (- (* -9 x) 6)> |
#<alt (* -9 x)> |
#<alt (* -1 (* x (+ 9 (* 6 (/ 1 x)))))> |
#<alt (* -1 (* x (+ 9 (* 6 (/ 1 x)))))> |
#<alt (* -1 (* x (+ 9 (* 6 (/ 1 x)))))> |
#<alt (* -9 x)> |
#<alt (* -1 (* x (+ 9 (* 6 (/ 1 x)))))> |
#<alt (* -1 (* x (+ 9 (* 6 (/ 1 x)))))> |
#<alt (* -1 (* x (+ 9 (* 6 (/ 1 x)))))> |
39 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (* (+ (* x -3) 2) (* x 3)) |
| 0.0ms | x | @ | -inf | (/ 1 (* x (+ (* x -9) 6))) |
| 0.0ms | x | @ | inf | (/ 1 (* x (+ (* x -9) 6))) |
| 0.0ms | x | @ | 0 | (/ 1 (* x (+ (* x -9) 6))) |
| 0.0ms | x | @ | inf | (* (+ (* x -3) 2) (* x 3)) |
| 1× | egg-herbie |
| 7 328× | lower-fma.f64 |
| 7 328× | lower-fma.f32 |
| 2 730× | lower-*.f64 |
| 2 730× | lower-*.f32 |
| 1 626× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 121 | 984 |
| 1 | 314 | 976 |
| 2 | 772 | 964 |
| 3 | 1744 | 964 |
| 4 | 3688 | 964 |
| 5 | 7066 | 964 |
| 0 | 8156 | 862 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 6 x) |
(* x (+ 6 (* -9 x))) |
(* x (+ 6 (* -9 x))) |
(* x (+ 6 (* -9 x))) |
(* -9 (pow x 2)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* -9 (pow x 2)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
2 |
(+ 2 (* -3 x)) |
(+ 2 (* -3 x)) |
(+ 2 (* -3 x)) |
(* -3 x) |
(* x (- (* 2 (/ 1 x)) 3)) |
(* x (- (* 2 (/ 1 x)) 3)) |
(* x (- (* 2 (/ 1 x)) 3)) |
(* -3 x) |
(* -1 (* x (- 3 (* 2 (/ 1 x))))) |
(* -1 (* x (- 3 (* 2 (/ 1 x))))) |
(* -1 (* x (- 3 (* 2 (/ 1 x))))) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 6 x) |
(* x (+ 6 (* -9 x))) |
(* x (+ 6 (* -9 x))) |
(* x (+ 6 (* -9 x))) |
(* -9 (pow x 2)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* -9 (pow x 2)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(/ 1/6 x) |
(/ (+ 1/6 (* 1/4 x)) x) |
(/ (+ 1/6 (* x (+ 1/4 (* 3/8 x)))) x) |
(/ (+ 1/6 (* x (+ 1/4 (* x (+ 3/8 (* 9/16 x)))))) x) |
(/ -1/9 (pow x 2)) |
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) (pow x 2))) |
(/ (- (* -1 (/ (+ 2/27 (* 4/81 (/ 1 x))) x)) 1/9) (pow x 2)) |
(/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) (pow x 2))) (+ 1/9 (* 2/27 (/ 1 x)))) (pow x 2)) |
(/ -1/9 (pow x 2)) |
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) (pow x 2))) |
(/ (- (* -1 (/ (+ 2/27 (* 4/81 (/ 1 x))) x)) 1/9) (pow x 2)) |
(/ (- (* -1 (/ (+ 2/27 (+ (/ 8/243 (pow x 2)) (* 4/81 (/ 1 x)))) x)) 1/9) (pow x 2)) |
(* 6 x) |
(* x (+ 6 (* -9 x))) |
(* x (+ 6 (* -9 x))) |
(* x (+ 6 (* -9 x))) |
(* -9 (pow x 2)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* -9 (pow x 2)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
6 |
(+ 6 (* -9 x)) |
(+ 6 (* -9 x)) |
(+ 6 (* -9 x)) |
(* -9 x) |
(* x (- (* 6 (/ 1 x)) 9)) |
(* x (- (* 6 (/ 1 x)) 9)) |
(* x (- (* 6 (/ 1 x)) 9)) |
(* -9 x) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(* 6 x) |
(* x (+ 6 (* -9 x))) |
(* x (+ 6 (* -9 x))) |
(* x (+ 6 (* -9 x))) |
(* -9 (pow x 2)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* -9 (pow x 2)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
1/6 |
(+ 1/6 (* 1/4 x)) |
(+ 1/6 (* x (+ 1/4 (* 3/8 x)))) |
(+ 1/6 (* x (+ 1/4 (* x (+ 3/8 (* 9/16 x)))))) |
(/ -1/9 x) |
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x)) |
(/ (- (* -1 (/ (+ 2/27 (* 4/81 (/ 1 x))) x)) 1/9) x) |
(/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) (pow x 2))) (+ 1/9 (* 2/27 (/ 1 x)))) x) |
(/ -1/9 x) |
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x)) |
(* -1 (/ (+ 1/9 (+ (/ 4/81 (pow x 2)) (* 2/27 (/ 1 x)))) x)) |
(* -1 (/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) x)) 2/27) x))) x)) |
(* 6 x) |
(* x (+ 6 (* -9 x))) |
(* x (+ 6 (* -9 x))) |
(* x (+ 6 (* -9 x))) |
(* -9 (pow x 2)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* -9 (pow x 2)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* -36 x) |
(* x (- (* 81 (pow x 2)) 36)) |
(* x (- (* 81 (pow x 2)) 36)) |
(* x (- (* 81 (pow x 2)) 36)) |
(* 81 (pow x 3)) |
(* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2))))) |
(* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2))))) |
(* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2))))) |
(* 81 (pow x 3)) |
(* -1 (* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81))) |
(* -1 (* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81))) |
(* -1 (* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81))) |
-36 |
(- (* 81 (pow x 2)) 36) |
(- (* 81 (pow x 2)) 36) |
(- (* 81 (pow x 2)) 36) |
(* 81 (pow x 2)) |
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2))))) |
(* 81 (pow x 2)) |
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2))))) |
-6 |
(- (* -9 x) 6) |
(- (* -9 x) 6) |
(- (* -9 x) 6) |
(* -9 x) |
(* -1 (* x (+ 9 (* 6 (/ 1 x))))) |
(* -1 (* x (+ 9 (* 6 (/ 1 x))))) |
(* -1 (* x (+ 9 (* 6 (/ 1 x))))) |
(* -9 x) |
(* -1 (* x (+ 9 (* 6 (/ 1 x))))) |
(* -1 (* x (+ 9 (* 6 (/ 1 x))))) |
(* -1 (* x (+ 9 (* 6 (/ 1 x))))) |
| Outputs |
|---|
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -3 x)) |
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)) |
(+ 2 (* -3 x)) |
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)) |
(+ 2 (* -3 x)) |
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)) |
(* -3 x) |
(*.f64 x #s(literal -3 binary64)) |
(* x (- (* 2 (/ 1 x)) 3)) |
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)) |
(* x (- (* 2 (/ 1 x)) 3)) |
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)) |
(* x (- (* 2 (/ 1 x)) 3)) |
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)) |
(* -3 x) |
(*.f64 x #s(literal -3 binary64)) |
(* -1 (* x (- 3 (* 2 (/ 1 x))))) |
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)) |
(* -1 (* x (- 3 (* 2 (/ 1 x))))) |
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)) |
(* -1 (* x (- 3 (* 2 (/ 1 x))))) |
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(/ 1/6 x) |
(/.f64 #s(literal 1/6 binary64) x) |
(/ (+ 1/6 (* 1/4 x)) x) |
(/.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/6 binary64)) x) |
(/ (+ 1/6 (* x (+ 1/4 (* 3/8 x)))) x) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal 3/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/6 binary64)) x) |
(/ (+ 1/6 (* x (+ 1/4 (* x (+ 3/8 (* 9/16 x)))))) x) |
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal 9/16 binary64) #s(literal 3/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/6 binary64)) x) |
(/ -1/9 (pow x 2)) |
(/.f64 #s(literal -1/9 binary64) (*.f64 x x)) |
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) (pow x 2))) |
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -2/27 binary64) x)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 2/27 (* 4/81 (/ 1 x))) x)) 1/9) (pow x 2)) |
(/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 (+.f64 #s(literal 2/27 binary64) (/.f64 #s(literal 4/81 binary64) x)) x)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) (pow x 2))) (+ 1/9 (* 2/27 (/ 1 x)))) (pow x 2)) |
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 (-.f64 #s(literal -2/27 binary64) (/.f64 (+.f64 #s(literal 4/81 binary64) (/.f64 #s(literal 8/243 binary64) x)) x)) x)) (*.f64 x x)) |
(/ -1/9 (pow x 2)) |
(/.f64 #s(literal -1/9 binary64) (*.f64 x x)) |
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) (pow x 2))) |
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -2/27 binary64) x)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 2/27 (* 4/81 (/ 1 x))) x)) 1/9) (pow x 2)) |
(/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 (+.f64 #s(literal 2/27 binary64) (/.f64 #s(literal 4/81 binary64) x)) x)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 2/27 (+ (/ 8/243 (pow x 2)) (* 4/81 (/ 1 x)))) x)) 1/9) (pow x 2)) |
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 (-.f64 #s(literal -2/27 binary64) (/.f64 (+.f64 #s(literal 4/81 binary64) (/.f64 #s(literal 8/243 binary64) x)) x)) x)) (*.f64 x x)) |
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
6 |
#s(literal 6 binary64) |
(+ 6 (* -9 x)) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
(+ 6 (* -9 x)) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
(+ 6 (* -9 x)) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* x (- (* 6 (/ 1 x)) 9)) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
(* x (- (* 6 (/ 1 x)) 9)) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
(* x (- (* 6 (/ 1 x)) 9)) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* 1/4 x)) |
(fma.f64 x #s(literal 1/4 binary64) #s(literal 1/6 binary64)) |
(+ 1/6 (* x (+ 1/4 (* 3/8 x)))) |
(fma.f64 x (fma.f64 x #s(literal 3/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/6 binary64)) |
(+ 1/6 (* x (+ 1/4 (* x (+ 3/8 (* 9/16 x)))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 9/16 binary64) #s(literal 3/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/6 binary64)) |
(/ -1/9 x) |
(/.f64 #s(literal -1/9 binary64) x) |
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x)) |
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -2/27 binary64) x)) x) |
(/ (- (* -1 (/ (+ 2/27 (* 4/81 (/ 1 x))) x)) 1/9) x) |
(/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 (+.f64 #s(literal 2/27 binary64) (/.f64 #s(literal 4/81 binary64) x)) x)) x) |
(/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) (pow x 2))) (+ 1/9 (* 2/27 (/ 1 x)))) x) |
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 (-.f64 #s(literal -2/27 binary64) (/.f64 (+.f64 #s(literal 4/81 binary64) (/.f64 #s(literal 8/243 binary64) x)) x)) x)) x) |
(/ -1/9 x) |
(/.f64 #s(literal -1/9 binary64) x) |
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x)) |
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -2/27 binary64) x)) x) |
(* -1 (/ (+ 1/9 (+ (/ 4/81 (pow x 2)) (* 2/27 (/ 1 x)))) x)) |
(/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 (+.f64 #s(literal 2/27 binary64) (/.f64 #s(literal 4/81 binary64) x)) x)) x) |
(* -1 (/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) x)) 2/27) x))) x)) |
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 (-.f64 #s(literal -2/27 binary64) (/.f64 (+.f64 #s(literal 4/81 binary64) (/.f64 #s(literal 8/243 binary64) x)) x)) x)) x) |
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(* -36 x) |
(*.f64 x #s(literal -36 binary64)) |
(* x (- (* 81 (pow x 2)) 36)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64))) |
(* x (- (* 81 (pow x 2)) 36)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64))) |
(* x (- (* 81 (pow x 2)) 36)) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64))) |
(* 81 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 81 binary64))) |
(* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64))) |
(* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64))) |
(* (pow x 3) (- 81 (* 36 (/ 1 (pow x 2))))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64))) |
(* 81 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 81 binary64))) |
(* -1 (* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64))) |
(* -1 (* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64))) |
(* -1 (* (pow x 3) (- (* 36 (/ 1 (pow x 2))) 81))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64))) |
-36 |
#s(literal -36 binary64) |
(- (* 81 (pow x 2)) 36) |
(fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64)) |
(- (* 81 (pow x 2)) 36) |
(fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64)) |
(- (* 81 (pow x 2)) 36) |
(fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64)) |
(* 81 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 81 binary64)) |
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64)) |
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64)) |
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64)) |
(* 81 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 81 binary64)) |
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64)) |
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64)) |
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 81 binary64) #s(literal -36 binary64)) |
-6 |
#s(literal -6 binary64) |
(- (* -9 x) 6) |
(fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)) |
(- (* -9 x) 6) |
(fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)) |
(- (* -9 x) 6) |
(fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -1 (* x (+ 9 (* 6 (/ 1 x))))) |
(fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)) |
(* -1 (* x (+ 9 (* 6 (/ 1 x))))) |
(fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)) |
(* -1 (* x (+ 9 (* 6 (/ 1 x))))) |
(fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -1 (* x (+ 9 (* 6 (/ 1 x))))) |
(fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)) |
(* -1 (* x (+ 9 (* 6 (/ 1 x))))) |
(fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)) |
(* -1 (* x (+ 9 (* 6 (/ 1 x))))) |
(fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)) |
| 8 014× | lower-fma.f32 |
| 8 008× | lower-fma.f64 |
| 5 122× | lower-*.f32 |
| 5 114× | lower-*.f64 |
| 3 702× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 101 |
| 0 | 42 | 97 |
| 1 | 158 | 97 |
| 2 | 939 | 97 |
| 0 | 8322 | 94 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)) (*.f64 x #s(literal 3 binary64))) |
(fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)) |
(*.f64 x #s(literal 3 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) |
(/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))) |
#s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64)) |
(/.f64 (*.f64 x #s(approx (+ (* x (* x 81)) -36) #s(literal -36 binary64))) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) |
(*.f64 x #s(approx (+ (* x (* x 81)) -36) #s(literal -36 binary64))) |
#s(approx (+ (* x (* x 81)) -36) #s(literal -36 binary64)) |
(fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64)) |
| Outputs |
|---|
(+.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal -3 binary64))))) |
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal -3 binary64)))) (*.f64 x #s(literal 6 binary64))) |
(fma.f64 x #s(literal 6 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal -3 binary64))))) |
(fma.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64))) (*.f64 x #s(literal 6 binary64))) |
(fma.f64 x (*.f64 #s(literal -3 binary64) (*.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 6 binary64))) |
(fma.f64 #s(literal -3 binary64) (neg.f64 (*.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal -3 binary64))))) |
(fma.f64 #s(literal -3 binary64) (*.f64 x (*.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 6 binary64))) |
(fma.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal -3 binary64))))) |
(fma.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal -3 binary64))))) |
(fma.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal -3 binary64))) (*.f64 x #s(literal 6 binary64))) |
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(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal -216 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal 54 binary64)) #s(literal 36 binary64))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 6561 binary64))) #s(literal -1296 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal 36 binary64))) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))) |
(*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 6561 binary64))) #s(literal -1296 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal 36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))) |
(*.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal 36 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal 36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))))) |
(*.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal -216 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal 54 binary64)) #s(literal 36 binary64))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal -81 binary64) #s(literal 36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal 54 binary64)) #s(literal 36 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal -216 binary64))) |
(*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))) |
(*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 9 binary64) #s(literal -6 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal -216 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal 54 binary64)) #s(literal 36 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 531441 binary64) #s(literal -46656 binary64)) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 6561 binary64)) #s(literal -2916 binary64)) #s(literal 1296 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 531441 binary64) #s(literal -46656 binary64)) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 6561 binary64)) #s(literal -2916 binary64)) #s(literal 1296 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 6561 binary64))) #s(literal -1296 binary64)) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal 36 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 6561 binary64))) #s(literal -1296 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal 36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64))))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))) |
(*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) (pow.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) #s(literal -1/2 binary64))) (pow.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64)))) (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64))) |
(*.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)))) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -81 binary64) #s(literal 36 binary64)) (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64))) (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -81 binary64) #s(literal 36 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64))) (neg.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64)))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) (fma.f64 (*.f64 x x) #s(literal -81 binary64) #s(literal 36 binary64))) (fma.f64 x #s(literal 9 binary64) #s(literal 6 binary64))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -81 binary64) #s(literal 36 binary64)) (fma.f64 (*.f64 x x) #s(literal -81 binary64) #s(literal 36 binary64))) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal -216 binary64)) (fma.f64 (fma.f64 x #s(literal -54 binary64) #s(literal 36 binary64)) (*.f64 (fma.f64 x #s(literal -54 binary64) #s(literal 36 binary64)) (fma.f64 x #s(literal -54 binary64) #s(literal 36 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 531441 binary64)))) (fma.f64 (fma.f64 x #s(literal -54 binary64) #s(literal 36 binary64)) (-.f64 (fma.f64 x #s(literal -54 binary64) #s(literal 36 binary64)) (*.f64 x (*.f64 x #s(literal 81 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 6561 binary64)))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal -216 binary64)) (*.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal 54 binary64)) #s(literal 36 binary64)) (+.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) (*.f64 x #s(literal 54 binary64))))) (+.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) (*.f64 x #s(literal 54 binary64)))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64)) (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64)))) (neg.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal -81 binary64) #s(literal 36 binary64)) (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64) #s(literal 216 binary64)))) (fma.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)) #s(literal 36 binary64))) |
Compiled 22 077 to 2 694 computations (87.8% saved)
11 alts after pruning (2 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 087 | 2 | 1 089 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 2 | 4 |
| Done | 0 | 7 | 7 |
| Total | 1 089 | 11 | 1 100 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.8% | (fma.f64 x #s(literal 6 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64))) |
| 45.4% | (/.f64 (*.f64 x #s(approx (+ (* x (* x 81)) -36) #s(literal -36 binary64))) #s(approx (+ (* x -9) -6) #s(literal -6 binary64))) | |
| ✓ | 45.3% | (/.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | 45.3% | (/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))) |
| 56.6% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (+ (* x -9) 6))) (/.f64 #s(literal -1/9 binary64) (*.f64 x x)))) | |
| ✓ | 99.7% | (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)) (*.f64 x #s(literal 3 binary64))) |
| ✓ | 99.7% | (*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) |
| ✓ | 56.7% | (*.f64 (*.f64 x #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))) #s(literal 3 binary64)) |
| ✓ | 56.7% | (*.f64 #s(approx (* 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x)) x) |
| ✓ | 45.4% | (*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x) |
| ✓ | 56.7% | #s(approx (* (* 3 (- 2 (* x 3))) x) (*.f64 #s(literal -9 binary64) (*.f64 x x))) |
Compiled 229 to 111 computations (51.5% saved)
| Inputs |
|---|
(*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x) |
#s(approx (* (* 3 (- 2 (* x 3))) x) (*.f64 #s(literal -9 binary64) (*.f64 x x))) |
(*.f64 #s(approx (* 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x)) x) |
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) |
(/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))) x) |
(*.f64 (*.f64 x #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))) #s(literal 3 binary64)) |
(*.f64 (*.f64 x #s(literal -3 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64))) |
(*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)) (*.f64 x #s(literal 3 binary64))) |
(/.f64 (*.f64 x #s(approx (+ (* x (* x 81)) -36) #s(literal -36 binary64))) #s(approx (+ (* x -9) -6) #s(literal -6 binary64))) |
(fma.f64 x #s(literal 6 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) |
(/.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 x #s(approx (+ (* x (* x 81)) -36) #s(literal -36 binary64))) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* x (+ (* x -9) 6))) (/.f64 #s(literal -1/9 binary64) (*.f64 x x)))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))))) |
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))))) |
(/.f64 (*.f64 x (fma.f64 x (*.f64 x #s(literal 81 binary64)) #s(literal -36 binary64))) (fma.f64 x #s(literal -9 binary64) #s(literal -6 binary64))) |
| Outputs |
|---|
(fma.f64 x #s(literal 6 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64))) |
2 calls:
| 6.0ms | x |
| 5.0ms | (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) |
Compiled 12 to 8 computations (33.3% saved)
| Inputs |
|---|
(*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x) |
#s(approx (* (* 3 (- 2 (* x 3))) x) (*.f64 #s(literal -9 binary64) (*.f64 x x))) |
(*.f64 #s(approx (* 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x)) x) |
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) |
(/.f64 x #s(approx (/ 1 (+ (* x -9) 6)) #s(literal 1/6 binary64))) |
(*.f64 (*.f64 #s(literal 3 binary64) #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))) x) |
(*.f64 (*.f64 x #s(approx (- 2 (* x 3)) (*.f64 x #s(literal -3 binary64)))) #s(literal 3 binary64)) |
(*.f64 (*.f64 x #s(literal -3 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64))) |
(*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 2 binary64)) (*.f64 x #s(literal 3 binary64))) |
(/.f64 (*.f64 x #s(approx (+ (* x (* x 81)) -36) #s(literal -36 binary64))) #s(approx (+ (* x -9) -6) #s(literal -6 binary64))) |
| Outputs |
|---|
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) |
2 calls:
| 5.0ms | (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) |
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | x |
| 99.7% | 1 | (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) |
Compiled 12 to 8 computations (33.3% saved)
| Inputs |
|---|
(*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x) |
#s(approx (* (* 3 (- 2 (* x 3))) x) (*.f64 #s(literal -9 binary64) (*.f64 x x))) |
(*.f64 #s(approx (* 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x)) x) |
| Outputs |
|---|
(*.f64 #s(approx (* 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x)) x) |
(*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x) |
2 calls:
| 2.0ms | x |
| 2.0ms | (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.2% | 3 | x |
| 97.2% | 2 | (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) |
Compiled 12 to 8 computations (33.3% saved)
| Inputs |
|---|
(*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x) |
#s(approx (* (* 3 (- 2 (* x 3))) x) (*.f64 #s(literal -9 binary64) (*.f64 x x))) |
| Outputs |
|---|
#s(approx (* (* 3 (- 2 (* x 3))) x) (*.f64 #s(literal -9 binary64) (*.f64 x x))) |
(*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x) |
1 calls:
| 1.0ms | (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.2% | 2 | (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) |
Compiled 10 to 7 computations (30% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x) |
| Outputs |
|---|
(*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x) |
2 calls:
| 6.0ms | x |
| 1.0ms | (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 45.4% | 1 | x |
| 45.4% | 1 | (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) |
Compiled 12 to 8 computations (33.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -27141837078.933266 | -0.04090803808133376 |
Compiled 13 to 11 computations (15.4% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -27141837078.933266 | -0.04090803808133376 |
Compiled 13 to 11 computations (15.4% saved)
| 1× | egg-herbie |
| 22× | *-commutative_binary64 |
| 8× | +-commutative_binary64 |
| 8× | sub-neg_binary64 |
| 6× | neg-sub0_binary64 |
| 6× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 99 |
| 1 | 42 | 99 |
| 2 | 54 | 99 |
| 3 | 60 | 99 |
| 4 | 64 | 99 |
| 5 | 65 | 99 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 x #s(literal 6 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64))) |
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) #s(literal -20000000000 binary64)) (*.f64 #s(approx (* 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x)) x) (*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) #s(literal -20000000000 binary64)) #s(approx (* (* 3 (- 2 (* x 3))) x) (*.f64 #s(literal -9 binary64) (*.f64 x x))) (*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)) |
(*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x) |
| Outputs |
|---|
(fma.f64 x #s(literal 6 binary64) (*.f64 (*.f64 x x) #s(literal -9 binary64))) |
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x) |
(*.f64 x (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) #s(literal -20000000000 binary64)) (*.f64 #s(approx (* 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x)) x) (*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)) |
(if (<=.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))))) #s(literal -20000000000 binary64)) (*.f64 x #s(approx (* 3 (- 2 (* x 3))) (*.f64 x #s(literal -9 binary64)))) (*.f64 x #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)))) |
(if (<=.f64 (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) #s(literal -20000000000 binary64)) #s(approx (* (* 3 (- 2 (* x 3))) x) (*.f64 #s(literal -9 binary64) (*.f64 x x))) (*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)) |
(if (<=.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))))) #s(literal -20000000000 binary64)) #s(approx (* (* 3 (- 2 (* x 3))) x) (*.f64 (*.f64 x x) #s(literal -9 binary64))) (*.f64 x #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)))) |
(*.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x) |
(*.f64 x #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64))) |
| 15 340× | lower-fma.f64 |
| 15 340× | lower-fma.f32 |
| 4 142× | lower-*.f32 |
| 4 136× | lower-*.f64 |
| 3 486× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 24 |
| 0 | 11 | 24 |
| 1 | 35 | 24 |
| 2 | 210 | 20 |
| 3 | 1728 | 20 |
| 0 | 9546 | 17 |
| 0 | 32 | 216 |
| 1 | 82 | 216 |
| 2 | 169 | 216 |
| 3 | 406 | 216 |
| 4 | 1019 | 216 |
| 5 | 1335 | 216 |
| 6 | 2557 | 216 |
| 7 | 5031 | 216 |
| 8 | 6891 | 216 |
| 9 | 7986 | 216 |
| 0 | 8012 | 189 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 121 to 61 computations (49.6% saved)
Compiled 166 to 70 computations (57.8% saved)
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