
Time bar (total: 3.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 25% | 75% | 0% | 0% | 0% | 0 |
| 100% | 25% | 0% | 75% | 0% | 0% | 0% | 1 |
Compiled 17 to 10 computations (41.2% saved)
| 428.0ms | 8 256× | 0 | valid |
ival-mult: 120.0ms (44.2% of total)ival-add: 71.0ms (26.1% of total)ival-<=: 59.0ms (21.7% of total)ival-and: 10.0ms (3.7% of total)exact: 10.0ms (3.7% of total)ival-assert: 3.0ms (1.1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
| 0 | 0 | - | 0 | - | (*.f64 x (*.f64 x x)) |
| 0 | 0 | - | 0 | - | (*.f64 x x) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 19.0ms | 512× | 0 | valid |
Compiled 49 to 16 computations (67.3% saved)
ival-mult: 6.0ms (66.5% of total)ival-add: 2.0ms (22.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 68× | associate-*r* |
| 62× | distribute-lft-neg-in |
| 54× | sub-neg |
| 42× | lower-*.f32 |
| 38× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 17 |
| 1 | 31 | 14 |
| 2 | 113 | 14 |
| 3 | 309 | 14 |
| 4 | 418 | 14 |
| 5 | 422 | 14 |
| 0 | 4 | 9 |
| 0 | 7 | 7 |
| 1 | 16 | 7 |
| 2 | 24 | 7 |
| 3 | 33 | 7 |
| 4 | 41 | 7 |
| 5 | 51 | 7 |
| 6 | 54 | 7 |
| 0 | 54 | 6 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
| Outputs |
|---|
(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
(fma.f64 x x (pow.f64 x #s(literal 3 binary64))) |
Compiled 9 to 4 computations (55.6% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
Compiled 9 to 4 computations (55.6% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | -5824 | (*.f64 x (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 128 | (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
| 42× | lower-*.f32 |
| 38× | lower-*.f64 |
| 28× | lower-fma.f64 |
| 28× | lower-fma.f32 |
| 18× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 18 |
| 0 | 7 | 14 |
| 1 | 16 | 14 |
| 2 | 24 | 14 |
| 3 | 33 | 14 |
| 4 | 41 | 14 |
| 5 | 51 | 14 |
| 6 | 54 | 14 |
| 0 | 54 | 13 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
| Outputs |
|---|
(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
(fma.f64 x x (pow.f64 x #s(literal 3 binary64))) |
(*.f64 x (*.f64 x x)) |
(pow.f64 x #s(literal 3 binary64)) |
x |
(*.f64 x x) |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.015625 | (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) | |
| accuracy | 0.08984375 | (*.f64 x (*.f64 x x)) |
| 9.0ms | 256× | 0 | valid |
Compiled 20 to 6 computations (70% saved)
ival-mult: 3.0ms (67.5% of total)ival-add: 1.0ms (22.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (patch (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (pow x 2) (taylor 0 x) (#s(alt (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (patch (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 x)) (taylor 0 x) (#s(alt (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (patch (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 x)) (taylor 0 x) (#s(alt (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (patch (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 x)) (taylor 0 x) (#s(alt (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (patch (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (patch (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (patch (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (patch (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (patch (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (patch (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (patch (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (patch (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (patch (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 x (*.f64 x x)) (patch (*.f64 x (*.f64 x x)) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | -inf | ((+ (* x (* x x)) (* x x)) (* x x) (* x (* x x))) |
| 1.0ms | x | @ | inf | ((+ (* x (* x x)) (* x x)) (* x x) (* x (* x x))) |
| 1.0ms | x | @ | 0 | ((+ (* x (* x x)) (* x x)) (* x x) (* x (* x x))) |
| 1× | egg-herbie |
| 5 604× | lower-*.f64 |
| 5 604× | lower-*.f32 |
| 3 550× | cube-prod |
| 2 370× | lower-/.f32 |
| 2 370× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 144 |
| 1 | 30 | 144 |
| 2 | 64 | 144 |
| 3 | 103 | 144 |
| 4 | 286 | 144 |
| 5 | 1326 | 144 |
| 6 | 2335 | 144 |
| 7 | 3183 | 144 |
| 8 | 3904 | 144 |
| 9 | 4731 | 144 |
| 10 | 5074 | 144 |
| 11 | 5337 | 144 |
| 12 | 5549 | 144 |
| 13 | 5769 | 144 |
| 14 | 5852 | 144 |
| 15 | 6642 | 144 |
| 16 | 7744 | 144 |
| 0 | 8032 | 135 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow x 2) |
(* (pow x 2) (+ 1 x)) |
(* (pow x 2) (+ 1 x)) |
(* (pow x 2) (+ 1 x)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
| Outputs |
|---|
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 x)) |
(*.f64 (fma.f64 x x x) x) |
(* (pow x 2) (+ 1 x)) |
(*.f64 (fma.f64 x x x) x) |
(* (pow x 2) (+ 1 x)) |
(*.f64 (fma.f64 x x 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 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(*.f64 (fma.f64 x x x) x) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(*.f64 (fma.f64 x x x) x) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(*.f64 (fma.f64 x x 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 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(*.f64 (fma.f64 x x x) x) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(*.f64 (fma.f64 x x x) x) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(*.f64 (fma.f64 x x 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 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
| 10 118× | lower-fma.f64 |
| 10 118× | lower-fma.f32 |
| 4 498× | lower-/.f64 |
| 4 498× | lower-/.f32 |
| 3 492× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 17 |
| 0 | 7 | 13 |
| 1 | 30 | 13 |
| 2 | 199 | 13 |
| 3 | 1768 | 13 |
| 0 | 8450 | 12 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
(*.f64 x x) |
(*.f64 x (*.f64 x x)) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) x) x) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 8 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (-.f64 (*.f64 x x) x) x) (-.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 x #s(literal 12 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 12 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 x #s(literal 12 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 x #s(literal 27 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 x #s(literal 12 binary64))) (pow.f64 x #s(literal 15 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 x (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 (*.f64 x x) x) (*.f64 (-.f64 (*.f64 x x) x) x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64))) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64))) (+.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 18 binary64)))) (fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (-.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 12 binary64)))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 (*.f64 x x) x) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x x)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) x) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) x) (pow.f64 (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 8 binary64))) (pow.f64 (*.f64 (-.f64 (*.f64 x x) x) x) #s(literal -1 binary64))) (pow.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 x #s(literal 12 binary64))) (pow.f64 (*.f64 (-.f64 (*.f64 x x) x) x) #s(literal -1 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 12 binary64))) #s(literal -1 binary64))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 (-.f64 (*.f64 x x) x) x) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.f64 (*.f64 x x) x) x)) (*.f64 (*.f64 (-.f64 (*.f64 x x) x) x) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 x x) x) x) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 8 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 x x) x) x) (+.f64 (+.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 12 binary64)))) (-.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 x #s(literal 12 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 x #s(literal 12 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 x #s(literal 12 binary64))) (pow.f64 x #s(literal 15 binary64)))) (+.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 x #s(literal 27 binary64))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (-.f64 (*.f64 x x) x) x)) |
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64))) (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (-.f64 (*.f64 x x) x) x))) |
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64)))) (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (neg.f64 x) (-.f64 (*.f64 x x) x)))) |
(neg.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64))) (neg.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64)))))) |
(fma.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) (*.f64 x x)) |
(fma.f64 (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 x x)) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x x) x)))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x x) x)))) |
(fma.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 (neg.f64 x) (-.f64 (*.f64 x x) x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x x) x)))) |
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x x)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 x x) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x x) x)))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x x) x)))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (*.f64 x x) (*.f64 (-.f64 (*.f64 x x) x) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x x) x)))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal -1 binary64)) (*.f64 x x)) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 x (-.f64 (*.f64 x x) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x x) x)))) |
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 (*.f64 x x) x) x) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x x) x)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (-.f64 (*.f64 x x) x) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x x) x)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x x) x)))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64) (*.f64 x x)) |
(fma.f64 (*.f64 x x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x x) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x x) x)))) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 (*.f64 x x) x (*.f64 x x)) |
(fma.f64 x (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (-.f64 (*.f64 x x) x) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x x) x)))) |
(fma.f64 x (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x x) x)))) |
(fma.f64 x (*.f64 x x) (*.f64 x x)) |
(fma.f64 x x (pow.f64 x #s(literal 3 binary64))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 x x) x)) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 x x) x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x x) x)))) (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x x) x)) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 x x) x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x x) x))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 15 binary64)) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 x x) x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x x) x)) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 x x) x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x x) x)))))) (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 x x) x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x x) x)) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 x x) x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x x) x))))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (-.f64 (*.f64 x x) x) x)) (pow.f64 (*.f64 (-.f64 (*.f64 x x) x) x) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 x x) x) x) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 (-.f64 (*.f64 x x) x) x) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 x x) x) x) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))))) (/.f64 (pow.f64 x #s(literal 8 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 x x) x) x) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64)))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 18 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 x x) x) x) (+.f64 (+.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 12 binary64))))) (/.f64 (pow.f64 x #s(literal 12 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 x x) x) x) (+.f64 (+.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 12 binary64)))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 18 binary64)) (*.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 6 binary64))))) (/.f64 (pow.f64 x #s(literal 12 binary64)) (*.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 6 binary64)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))))) (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64))) (neg.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64)))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (-.f64 (*.f64 x x) x) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (-.f64 (*.f64 x x) x) x))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 12 binary64)))) (*.f64 (-.f64 (*.f64 x x) x) x)) (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 12 binary64)))) (*.f64 (-.f64 (*.f64 x x) x) x))) |
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 18 binary64)) (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (-.f64 (*.f64 x x) x))) (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (neg.f64 x) (-.f64 (*.f64 x x) x)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 x (*.f64 x x)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 x (-.f64 x (*.f64 x x))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 x x) x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x x) x))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (*.f64 x x) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x x) x)))) |
(+.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x)) |
(+.f64 (*.f64 x x) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(/.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 (pow.f64 x #s(literal 3 binary64)) x) |
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) (log.f64 x))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) |
(*.f64 (*.f64 x x) x) |
(*.f64 x (*.f64 x x)) |
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 x)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3/4 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
(/.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (pow.f64 x #s(literal 4 binary64)) x) |
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)) (log.f64 x))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
Compiled 6 488 to 692 computations (89.3% saved)
5 alts after pruning (5 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 299 | 5 | 304 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 300 | 5 | 305 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (fma.f64 (*.f64 x x) x (*.f64 x x)) |
| ▶ | 100.0% | (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) |
| ▶ | 100.0% | (*.f64 (fma.f64 x x x) x) |
| ▶ | 100.0% | (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) |
| ▶ | 97.3% | #s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) |
Compiled 62 to 36 computations (41.9% saved)
| 1× | egg-herbie |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | -5824 | (fma.f64 (*.f64 x x) x (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | -6016 | (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) x) | |
| cost-diff | -6144 | (*.f64 (fma.f64 x x x) x) | |
| cost-diff | 0 | (fma.f64 x x x) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | #s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) | |
| cost-diff | 0 | (pow.f64 x #s(literal 3 binary64)) | |
| cost-diff | 0 | (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) |
| 42× | lower-*.f32 |
| 36× | lower-*.f64 |
| 28× | lower-fma.f32 |
| 22× | lower-fma.f64 |
| 14× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 66 |
| 0 | 25 | 60 |
| 1 | 36 | 60 |
| 2 | 45 | 60 |
| 3 | 53 | 60 |
| 4 | 63 | 60 |
| 5 | 65 | 60 |
| 0 | 65 | 60 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 x x (pow.f64 x #s(literal 3 binary64))) |
x |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) |
(*.f64 x x) |
x |
(*.f64 (fma.f64 x x x) x) |
(fma.f64 x x x) |
x |
(*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(*.f64 x x) |
(fma.f64 (*.f64 x x) x (*.f64 x x)) |
(*.f64 x x) |
x |
| Outputs |
|---|
(fma.f64 x x (pow.f64 x #s(literal 3 binary64))) |
x |
(pow.f64 x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) |
(*.f64 x x) |
x |
(*.f64 (fma.f64 x x x) x) |
(fma.f64 x x (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 x x x) |
x |
(*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) |
(fma.f64 x x (pow.f64 x #s(literal 3 binary64))) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(*.f64 x x) |
(fma.f64 (*.f64 x x) x (*.f64 x x)) |
(fma.f64 x x (pow.f64 x #s(literal 3 binary64))) |
(*.f64 x x) |
x |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.015625 | (fma.f64 (*.f64 x x) x (*.f64 x x)) | |
| accuracy | 0 | (+.f64 #s(literal 1 binary64) x) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.025722509768442016 | (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) | |
| accuracy | 0 | (fma.f64 x x x) | |
| accuracy | 0.01953125 | (*.f64 (fma.f64 x x x) x) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 1.700682361306874 | #s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) | |
| accuracy | 0 | (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) | |
| accuracy | 0 | (pow.f64 x #s(literal 3 binary64)) |
| 46.0ms | 256× | 0 | valid |
Compiled 68 to 16 computations (76.5% saved)
ival-mult: 28.0ms (76.7% of total)ival-add: 5.0ms (13.7% of total)ival-pow: 3.0ms (8.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) (patch (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) (patch #s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 x x x) x) (patch (*.f64 (fma.f64 x x x) x) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) (patch (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 x x) x (*.f64 x x)) (patch (fma.f64 (*.f64 x x) x (*.f64 x x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (pow x 2) (taylor 0 x) (#s(alt (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) (patch (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 x)) (taylor 0 x) (#s(alt (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) (patch (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 x)) (taylor 0 x) (#s(alt (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) (patch (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 x)) (taylor 0 x) (#s(alt (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) (patch (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt #s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) (patch #s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 x)) (taylor 0 x) (#s(alt #s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) (patch #s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 x)) (taylor 0 x) (#s(alt #s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) (patch #s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 x)) (taylor 0 x) (#s(alt #s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) (patch #s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 (fma.f64 x x x) x) (patch (*.f64 (fma.f64 x x x) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 x)) (taylor 0 x) (#s(alt (*.f64 (fma.f64 x x x) x) (patch (*.f64 (fma.f64 x x x) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 x)) (taylor 0 x) (#s(alt (*.f64 (fma.f64 x x x) x) (patch (*.f64 (fma.f64 x x x) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 x)) (taylor 0 x) (#s(alt (*.f64 (fma.f64 x x x) x) (patch (*.f64 (fma.f64 x x x) x) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) (patch (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 x)) (taylor 0 x) (#s(alt (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) (patch (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 x)) (taylor 0 x) (#s(alt (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) (patch (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 x)) (taylor 0 x) (#s(alt (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) (patch (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) x (*.f64 x x)) (patch (fma.f64 (*.f64 x x) x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 x)) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) x (*.f64 x x)) (patch (fma.f64 (*.f64 x x) x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 x)) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) x (*.f64 x x)) (patch (fma.f64 (*.f64 x x) x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 x)) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) x (*.f64 x x)) (patch (fma.f64 (*.f64 x x) x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) (patch (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) (patch (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) (patch (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) (patch (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt #s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) (patch #s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) (patch #s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) (patch #s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt #s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) (patch #s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 (fma.f64 x x x) x) (patch (*.f64 (fma.f64 x x x) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (*.f64 (fma.f64 x x x) x) (patch (*.f64 (fma.f64 x x x) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (*.f64 (fma.f64 x x x) x) (patch (*.f64 (fma.f64 x x x) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (*.f64 (fma.f64 x x x) x) (patch (*.f64 (fma.f64 x x x) x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) (patch (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) (patch (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) (patch (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) (patch (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) x (*.f64 x x)) (patch (fma.f64 (*.f64 x x) x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) x (*.f64 x x)) (patch (fma.f64 (*.f64 x x) x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) x (*.f64 x x)) (patch (fma.f64 (*.f64 x x) x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 (*.f64 x x) x (*.f64 x x)) (patch (fma.f64 (*.f64 x x) x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) (patch (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) (patch (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) (patch (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) (patch (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 3 binary64)) (patch (pow.f64 x #s(literal 3 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt #s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) (patch #s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) (patch #s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) (patch #s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt #s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) (patch #s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 x x x) (patch (fma.f64 x x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 (fma.f64 x x x) x) (patch (*.f64 (fma.f64 x x x) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 x x x) x) (patch (*.f64 (fma.f64 x x x) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 x x x) x) (patch (*.f64 (fma.f64 x x x) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 x x x) x) (patch (*.f64 (fma.f64 x x x) x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) (patch (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) (patch (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) (patch (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) (patch (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) x (*.f64 x x)) (patch (fma.f64 (*.f64 x x) x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) x (*.f64 x x)) (patch (fma.f64 (*.f64 x x) x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) x (*.f64 x x)) (patch (fma.f64 (*.f64 x x) x (*.f64 x x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) x (*.f64 x x)) (patch (fma.f64 (*.f64 x x) x (*.f64 x x)) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((+ (* x x) (pow x 3)) (pow x 3) (+ (* x (* x x)) (* x x)) (* x x) (+ (* x x) x) (* (+ (* x x) x) x) (+ 1 x) (* (+ 1 x) (* x x)) (+ (* (* x x) x) (* x x))) |
| 1.0ms | x | @ | inf | ((+ (* x x) (pow x 3)) (pow x 3) (+ (* x (* x x)) (* x x)) (* x x) (+ (* x x) x) (* (+ (* x x) x) x) (+ 1 x) (* (+ 1 x) (* x x)) (+ (* (* x x) x) (* x x))) |
| 1.0ms | x | @ | 0 | ((+ (* x x) (pow x 3)) (pow x 3) (+ (* x (* x x)) (* x x)) (* x x) (+ (* x x) x) (* (+ (* x x) x) x) (+ 1 x) (* (+ 1 x) (* x x)) (+ (* (* x x) x) (* x x))) |
| 1× | egg-herbie |
| 5 588× | lower-*.f64 |
| 5 588× | lower-*.f32 |
| 3 532× | cube-prod |
| 2 370× | lower-/.f32 |
| 2 370× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 514 |
| 1 | 48 | 514 |
| 2 | 69 | 514 |
| 3 | 217 | 514 |
| 4 | 1283 | 514 |
| 5 | 2287 | 514 |
| 6 | 3139 | 514 |
| 7 | 3884 | 514 |
| 8 | 4680 | 514 |
| 9 | 5023 | 514 |
| 10 | 5280 | 514 |
| 11 | 5492 | 514 |
| 12 | 5712 | 514 |
| 13 | 5795 | 514 |
| 14 | 6584 | 514 |
| 15 | 7689 | 514 |
| 16 | 7982 | 514 |
| 0 | 8074 | 460 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow x 2) |
(* (pow x 2) (+ 1 x)) |
(* (pow x 2) (+ 1 x)) |
(* (pow x 2) (+ 1 x)) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 2) |
(* (pow x 2) (+ 1 x)) |
(* (pow x 2) (+ 1 x)) |
(* (pow x 2) (+ 1 x)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
x |
(* x (+ 1 x)) |
(* x (+ 1 x)) |
(* x (+ 1 x)) |
(pow x 2) |
(* (pow x 2) (+ 1 x)) |
(* (pow x 2) (+ 1 x)) |
(* (pow x 2) (+ 1 x)) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
(pow x 2) |
(* (pow x 2) (+ 1 x)) |
(* (pow x 2) (+ 1 x)) |
(* (pow x 2) (+ 1 x)) |
(pow x 2) |
(* (pow x 2) (+ 1 x)) |
(* (pow x 2) (+ 1 x)) |
(* (pow x 2) (+ 1 x)) |
(pow x 3) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(pow x 3) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(* (pow x 3) (+ 1 (/ 1 x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(pow x 3) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(pow x 3) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(pow x 3) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(pow x 3) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(* (pow x 3) (+ 1 (/ 1 x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(pow x 3) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(pow x 3) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(* (pow x 3) (+ 1 (/ 1 x))) |
| Outputs |
|---|
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 x)) |
(fma.f64 x x (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 2) (+ 1 x)) |
(fma.f64 x x (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 2) (+ 1 x)) |
(fma.f64 x x (pow.f64 x #s(literal 3 binary64))) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 x)) |
(fma.f64 x x (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 2) (+ 1 x)) |
(fma.f64 x x (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 2) (+ 1 x)) |
(fma.f64 x x (pow.f64 x #s(literal 3 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) |
x |
(* x (+ 1 x)) |
(fma.f64 x x x) |
(* x (+ 1 x)) |
(fma.f64 x x x) |
(* x (+ 1 x)) |
(fma.f64 x x x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 x)) |
(fma.f64 x x (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 2) (+ 1 x)) |
(fma.f64 x x (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 2) (+ 1 x)) |
(fma.f64 x x (pow.f64 x #s(literal 3 binary64))) |
1 |
#s(literal 1 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) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 x)) |
(fma.f64 x x (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 2) (+ 1 x)) |
(fma.f64 x x (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 2) (+ 1 x)) |
(fma.f64 x x (pow.f64 x #s(literal 3 binary64))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 x)) |
(fma.f64 x x (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 2) (+ 1 x)) |
(fma.f64 x x (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 2) (+ 1 x)) |
(fma.f64 x x (pow.f64 x #s(literal 3 binary64))) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(fma.f64 x x (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(fma.f64 x x (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(fma.f64 x x (pow.f64 x #s(literal 3 binary64))) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(fma.f64 x x (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(fma.f64 x x (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(fma.f64 x x (pow.f64 x #s(literal 3 binary64))) |
(pow x 2) |
(*.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) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(fma.f64 x x (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(fma.f64 x x (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(fma.f64 x x (pow.f64 x #s(literal 3 binary64))) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(fma.f64 x x (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(fma.f64 x x (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(fma.f64 x x (pow.f64 x #s(literal 3 binary64))) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(fma.f64 x x (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(fma.f64 x x (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(fma.f64 x x (pow.f64 x #s(literal 3 binary64))) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(fma.f64 x x (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(fma.f64 x x (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(fma.f64 x x (pow.f64 x #s(literal 3 binary64))) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(fma.f64 x x (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(fma.f64 x x (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(fma.f64 x x (pow.f64 x #s(literal 3 binary64))) |
(pow x 2) |
(*.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) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(fma.f64 x x (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(fma.f64 x x (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(fma.f64 x x (pow.f64 x #s(literal 3 binary64))) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(fma.f64 x x (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(fma.f64 x x (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(fma.f64 x x (pow.f64 x #s(literal 3 binary64))) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(fma.f64 x x (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(fma.f64 x x (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(fma.f64 x x (pow.f64 x #s(literal 3 binary64))) |
| 7 796× | lower-fma.f32 |
| 7 790× | lower-fma.f64 |
| 3 792× | lower-*.f32 |
| 3 786× | lower-*.f64 |
| 2 570× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 53 |
| 0 | 25 | 47 |
| 1 | 81 | 47 |
| 2 | 504 | 47 |
| 3 | 5544 | 47 |
| 0 | 8569 | 47 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 x x (pow.f64 x #s(literal 3 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) |
(*.f64 x x) |
(fma.f64 x x x) |
(*.f64 (fma.f64 x x x) x) |
(+.f64 #s(literal 1 binary64) x) |
(*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) |
(fma.f64 (*.f64 x x) x (*.f64 x x)) |
| Outputs |
|---|
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) x) #s(literal 2 binary64)))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 7 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) x) (-.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) x) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64)))) |
(*.f64 (/.f64 (*.f64 x (-.f64 x (pow.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 x (-.f64 x (pow.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (fma.f64 x x (pow.f64 x #s(literal 5 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x))) |
(*.f64 (/.f64 (fma.f64 x x (pow.f64 x #s(literal 5 binary64))) (+.f64 (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 (*.f64 x x) x) (-.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x))) (fma.f64 x x x)) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64)))) (fma.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64))) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64))) (+.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 18 binary64)))) (fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (-.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 12 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 5 binary64))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64))) (+.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 5 binary64))) #s(literal 3 binary64)))) (fma.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 5 binary64))) (-.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))) |
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(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 x (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) x))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (-.f64 (*.f64 x x) x) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 x (-.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64) (*.f64 x x)) |
(fma.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) x))))) |
(fma.f64 x (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 (-.f64 (*.f64 x x) x) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))))) |
(fma.f64 x (/.f64 (*.f64 x x) (*.f64 x (-.f64 #s(literal 1 binary64) x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) x))))) |
(fma.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 x #s(literal 1 binary64))) (neg.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))))) |
(fma.f64 x (*.f64 x x) (*.f64 x x)) |
(fma.f64 x x (pow.f64 x #s(literal 3 binary64))) |
(-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 x (-.f64 x #s(literal 1 binary64)))) (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) x)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 x (-.f64 x #s(literal 1 binary64)))) (neg.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) x))))) |
(+.f64 (*.f64 x x) (pow.f64 x #s(literal 3 binary64))) |
(+.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x)) |
Compiled 20 650 to 1 143 computations (94.5% saved)
4 alts after pruning (2 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 144 | 2 | 1 146 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 147 | 4 | 1 151 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (fma.f64 x x (*.f64 (*.f64 x x) x)) |
| ✓ | 100.0% | (*.f64 (fma.f64 x x x) x) |
| ▶ | 100.0% | (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) x) |
| ✓ | 97.3% | #s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) |
Compiled 25 to 15 computations (40% saved)
| 1× | egg-herbie |
Found 6 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | -5824 | (*.f64 (*.f64 x x) x) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 6144 | (fma.f64 x x (*.f64 (*.f64 x x) x)) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) x) | |
| cost-diff | 128 | (*.f64 (+.f64 #s(literal 1 binary64) x) x) |
| 42× | lower-*.f32 |
| 34× | lower-*.f64 |
| 28× | lower-fma.f32 |
| 26× | lower-fma.f64 |
| 12× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 34 |
| 0 | 14 | 33 |
| 1 | 24 | 29 |
| 2 | 35 | 29 |
| 3 | 41 | 29 |
| 4 | 54 | 29 |
| 5 | 54 | 29 |
| 0 | 54 | 28 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) x) |
(*.f64 (+.f64 #s(literal 1 binary64) x) x) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(fma.f64 x x (*.f64 (*.f64 x x) x)) |
x |
(*.f64 (*.f64 x x) x) |
(*.f64 x x) |
| Outputs |
|---|
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) x) |
(*.f64 (fma.f64 x x x) x) |
(*.f64 (+.f64 #s(literal 1 binary64) x) x) |
(fma.f64 x x x) |
(+.f64 #s(literal 1 binary64) x) |
(+.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
x |
(fma.f64 x x (*.f64 (*.f64 x x) x)) |
(*.f64 (fma.f64 x x x) x) |
x |
(*.f64 (*.f64 x x) x) |
(pow.f64 x #s(literal 3 binary64)) |
(*.f64 x x) |
Found 6 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (fma.f64 x x (*.f64 (*.f64 x x) x)) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.08984375 | (*.f64 (*.f64 x x) x) | |
| accuracy | 0 | (+.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.015625 | (*.f64 (+.f64 #s(literal 1 binary64) x) x) | |
| accuracy | 0.01953125 | (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) x) |
| 19.0ms | 256× | 0 | valid |
Compiled 37 to 10 computations (73% saved)
ival-mult: 8.0ms (63.9% of total)ival-add: 4.0ms (32% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (+.f64 #s(literal 1 binary64) x) x) (patch (*.f64 (+.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) x) (patch (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) x) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 x x (*.f64 (*.f64 x x) x)) (patch (fma.f64 x x (*.f64 (*.f64 x x) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 x) (#s(alt (*.f64 (+.f64 #s(literal 1 binary64) x) x) (patch (*.f64 (+.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt (*.f64 (+.f64 #s(literal 1 binary64) x) x) (patch (*.f64 (+.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt (*.f64 (+.f64 #s(literal 1 binary64) x) x) (patch (*.f64 (+.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 x)) (taylor 0 x) (#s(alt (*.f64 (+.f64 #s(literal 1 binary64) x) x) (patch (*.f64 (+.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) x) (patch (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 x)) (taylor 0 x) (#s(alt (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) x) (patch (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 x)) (taylor 0 x) (#s(alt (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) x) (patch (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 x)) (taylor 0 x) (#s(alt (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) x) (patch (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) x) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (fma.f64 x x (*.f64 (*.f64 x x) x)) (patch (fma.f64 x x (*.f64 (*.f64 x x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 x)) (taylor 0 x) (#s(alt (fma.f64 x x (*.f64 (*.f64 x x) x)) (patch (fma.f64 x x (*.f64 (*.f64 x x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 x)) (taylor 0 x) (#s(alt (fma.f64 x x (*.f64 (*.f64 x x) x)) (patch (fma.f64 x x (*.f64 (*.f64 x x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 x)) (taylor 0 x) (#s(alt (fma.f64 x x (*.f64 (*.f64 x x) x)) (patch (fma.f64 x x (*.f64 (*.f64 x x) x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor 0 x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 (+.f64 #s(literal 1 binary64) x) x) (patch (*.f64 (+.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (*.f64 (+.f64 #s(literal 1 binary64) x) x) (patch (*.f64 (+.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (*.f64 (+.f64 #s(literal 1 binary64) x) x) (patch (*.f64 (+.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (*.f64 (+.f64 #s(literal 1 binary64) x) x) (patch (*.f64 (+.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) x) (patch (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) x) (patch (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) x) (patch (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) x) (patch (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (fma.f64 x x (*.f64 (*.f64 x x) x)) (patch (fma.f64 x x (*.f64 (*.f64 x x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 x x (*.f64 (*.f64 x x) x)) (patch (fma.f64 x x (*.f64 (*.f64 x x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 x x (*.f64 (*.f64 x x) x)) (patch (fma.f64 x x (*.f64 (*.f64 x x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (fma.f64 x x (*.f64 (*.f64 x x) x)) (patch (fma.f64 x x (*.f64 (*.f64 x x) x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 (+.f64 #s(literal 1 binary64) x) x) (patch (*.f64 (+.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 (+.f64 #s(literal 1 binary64) x) x) (patch (*.f64 (+.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 (+.f64 #s(literal 1 binary64) x) x) (patch (*.f64 (+.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 (+.f64 #s(literal 1 binary64) x) x) (patch (*.f64 (+.f64 #s(literal 1 binary64) x) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) x) (patch (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) x) (patch (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) x) (patch (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) x) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) x) (patch (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1 binary64) x) (patch (+.f64 #s(literal 1 binary64) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (fma.f64 x x (*.f64 (*.f64 x x) x)) (patch (fma.f64 x x (*.f64 (*.f64 x x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 x x (*.f64 (*.f64 x x) x)) (patch (fma.f64 x x (*.f64 (*.f64 x x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 x x (*.f64 (*.f64 x x) x)) (patch (fma.f64 x x (*.f64 (*.f64 x x) x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 3) (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (fma.f64 x x (*.f64 (*.f64 x x) x)) (patch (fma.f64 x x (*.f64 (*.f64 x x) x)) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
#s(alt (pow x 3) (taylor -inf x) (#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())) ()) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((* (+ 1 x) x) (* (* (+ 1 x) x) x) (+ 1 x) (+ (* x x) (* (* x x) x)) (* x x) (* (* x x) x)) |
| 1.0ms | x | @ | inf | ((* (+ 1 x) x) (* (* (+ 1 x) x) x) (+ 1 x) (+ (* x x) (* (* x x) x)) (* x x) (* (* x x) x)) |
| 1.0ms | x | @ | 0 | ((* (+ 1 x) x) (* (* (+ 1 x) x) x) (+ 1 x) (+ (* x x) (* (* x x) x)) (* x x) (* (* x x) x)) |
| 1× | egg-herbie |
| 5 588× | lower-*.f64 |
| 5 588× | lower-*.f32 |
| 3 572× | cube-prod |
| 2 370× | lower-/.f32 |
| 2 370× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 298 |
| 1 | 48 | 298 |
| 2 | 67 | 298 |
| 3 | 212 | 298 |
| 4 | 1291 | 298 |
| 5 | 2308 | 298 |
| 6 | 3134 | 298 |
| 7 | 3877 | 298 |
| 8 | 4680 | 298 |
| 9 | 5023 | 298 |
| 10 | 5288 | 298 |
| 11 | 5500 | 298 |
| 12 | 5720 | 298 |
| 13 | 5803 | 298 |
| 14 | 6592 | 298 |
| 15 | 7703 | 298 |
| 16 | 7999 | 298 |
| 0 | 8091 | 271 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 x)) |
(* x (+ 1 x)) |
(* x (+ 1 x)) |
(pow x 2) |
(* (pow x 2) (+ 1 x)) |
(* (pow x 2) (+ 1 x)) |
(* (pow x 2) (+ 1 x)) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
(pow x 2) |
(* (pow x 2) (+ 1 x)) |
(* (pow x 2) (+ 1 x)) |
(* (pow x 2) (+ 1 x)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(pow x 3) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(* (pow x 3) (+ 1 (/ 1 x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(pow x 3) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(pow x 3) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(* (pow x 3) (+ 1 (/ 1 x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(pow x 3) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
| Outputs |
|---|
x |
(* x (+ 1 x)) |
(fma.f64 x x x) |
(* x (+ 1 x)) |
(fma.f64 x x x) |
(* x (+ 1 x)) |
(fma.f64 x x x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 x)) |
(*.f64 (fma.f64 x x x) x) |
(* (pow x 2) (+ 1 x)) |
(*.f64 (fma.f64 x x x) x) |
(* (pow x 2) (+ 1 x)) |
(*.f64 (fma.f64 x x x) x) |
1 |
#s(literal 1 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) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 x)) |
(*.f64 (fma.f64 x x x) x) |
(* (pow x 2) (+ 1 x)) |
(*.f64 (fma.f64 x x x) x) |
(* (pow x 2) (+ 1 x)) |
(*.f64 (fma.f64 x x 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 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(*.f64 (fma.f64 x x x) x) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(*.f64 (fma.f64 x x x) x) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(*.f64 (fma.f64 x x x) x) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(*.f64 (fma.f64 x x x) x) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(*.f64 (fma.f64 x x x) x) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(*.f64 (fma.f64 x x 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 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(*.f64 (fma.f64 x x x) x) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(*.f64 (fma.f64 x x x) x) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(*.f64 (fma.f64 x x x) x) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(*.f64 (fma.f64 x x x) x) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(*.f64 (fma.f64 x x x) x) |
(* (pow x 3) (+ 1 (/ 1 x))) |
(*.f64 (fma.f64 x x 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 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
| 5 128× | lower-fma.f32 |
| 5 126× | lower-fma.f64 |
| 3 694× | lower-*.f32 |
| 3 686× | lower-*.f64 |
| 3 576× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 31 |
| 0 | 14 | 28 |
| 1 | 50 | 26 |
| 2 | 306 | 26 |
| 3 | 2745 | 26 |
| 0 | 8232 | 25 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (+.f64 #s(literal 1 binary64) x) x) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) x) |
(+.f64 #s(literal 1 binary64) x) |
(fma.f64 x x (*.f64 (*.f64 x x) x)) |
(*.f64 x x) |
(*.f64 (*.f64 x x) x) |
| Outputs |
|---|
(*.f64 (/.f64 (+.f64 x (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
(*.f64 (/.f64 (+.f64 x (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) x) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) x) (+.f64 (pow.f64 (-.f64 (*.f64 x x) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 (*.f64 x x) x) (-.f64 (-.f64 (*.f64 x x) x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (+.f64 x (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) x) (pow.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 x (-.f64 x (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 x (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 x (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)) x)) |
(*.f64 (fma.f64 x x x) #s(literal 1 binary64)) |
(*.f64 (+.f64 x #s(literal 1 binary64)) x) |
(*.f64 x (+.f64 x #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 x x x)) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) (*.f64 x (-.f64 x (pow.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) (neg.f64 (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) x)) (neg.f64 (neg.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (-.f64 x #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 x (pow.f64 (neg.f64 x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) x))) (neg.f64 (neg.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 x (-.f64 x (pow.f64 x #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x (-.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) (*.f64 x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) x) (neg.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))) |
(/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))) |
(/.f64 (*.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x))) (neg.f64 (-.f64 (*.f64 x x) x))) |
(/.f64 (neg.f64 (+.f64 x (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) x)) (neg.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 x (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 (+.f64 x (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) x) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x (pow.f64 (neg.f64 x) #s(literal 3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) (*.f64 x (-.f64 x (pow.f64 x #s(literal 3 binary64))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (-.f64 (*.f64 x x) x)) |
(/.f64 (*.f64 x (-.f64 x (pow.f64 x #s(literal 3 binary64)))) (*.f64 x (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 x) (neg.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) x))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 x (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 x (pow.f64 (neg.f64 x) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) (*.f64 x (-.f64 x (pow.f64 x #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(fma.f64 (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 x x)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x x)) |
(fma.f64 (neg.f64 x) (neg.f64 x) x) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) x) |
(fma.f64 x x x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 x x)) |
(-.f64 (/.f64 (*.f64 x x) (*.f64 x (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) x)))) |
(+.f64 (*.f64 x x) x) |
(+.f64 x (*.f64 x x)) |
(*.f64 (pow.f64 (/.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 18 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 x #s(literal 27 binary64)) (pow.f64 x #s(literal 18 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 18 binary64))) (pow.f64 x #s(literal 15 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) x) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 12 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) x) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 18 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 x #s(literal 12 binary64))) (pow.f64 x #s(literal 8 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 x (*.f64 (fma.f64 x x x) x)) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (+.f64 x (pow.f64 (neg.f64 x) #s(literal 3 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
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(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 18 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 x #s(literal 12 binary64))) (pow.f64 x #s(literal 8 binary64))) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 18 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64))) (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 27 binary64)) (pow.f64 x #s(literal 18 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 18 binary64))) (pow.f64 x #s(literal 15 binary64))) (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) x)) (*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) x) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) x) #s(literal 2 binary64))) |
(/.f64 (*.f64 (+.f64 x (pow.f64 (neg.f64 x) #s(literal 3 binary64))) x) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) x) x) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 x (pow.f64 (neg.f64 x) #s(literal 3 binary64))) x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) x) x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x (-.f64 (*.f64 x x) x)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 x x x) x) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 (fma.f64 x x x) x) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 12 binary64))) (*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) x) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 18 binary64))) (*.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) x) (+.f64 (+.f64 (pow.f64 x #s(literal 10 binary64)) (pow.f64 x #s(literal 12 binary64))) (pow.f64 x #s(literal 8 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 18 binary64))) (*.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 x (-.f64 (*.f64 x x) x))) |
(/.f64 (*.f64 (neg.f64 x) x) (neg.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 27 binary64)) (pow.f64 x #s(literal 18 binary64))) (*.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 18 binary64))) (pow.f64 x #s(literal 15 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (neg.f64 x) (*.f64 x (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64)))) (neg.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) x)) |
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64))) (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (*.f64 x x) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (*.f64 (fma.f64 x x x) x) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 x (pow.f64 (neg.f64 x) #s(literal 3 binary64))) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) x) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 (*.f64 x x) x)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 (fma.f64 x x x) x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 x x x) x) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) x))) |
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64)))) (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64))))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (neg.f64 x) (*.f64 x (-.f64 #s(literal 1 binary64) x))))) |
(neg.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64))) (neg.f64 (+.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 4 binary64)))))) |
(fma.f64 (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) (*.f64 x x)) |
(fma.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) (*.f64 x x)) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 9 binary64)))) (fma.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 5 binary64)) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) x))))) |
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (fma.f64 x x x) x) (neg.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) x))))) |
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x x)) |
(fma.f64 (neg.f64 x) (neg.f64 x) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) x) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) x))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 x (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) x))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64) (*.f64 x x)) |
(fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) x))))) |
(fma.f64 (*.f64 x x) (/.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) x))))) |
(fma.f64 (*.f64 x x) x (*.f64 x x)) |
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) x))))) |
(fma.f64 x (/.f64 (*.f64 x x) (*.f64 x (-.f64 #s(literal 1 binary64) x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) x))))) |
(fma.f64 x (*.f64 x x) (*.f64 x x)) |
(fma.f64 x x (pow.f64 x #s(literal 3 binary64))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) x))))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (pow.f64 x #s(literal 3 binary64))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 x (-.f64 (*.f64 x x) x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 (*.f64 x x) x)))) |
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) x)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (fma.f64 x x x) x) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) x))))) |
(+.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x)) |
(+.f64 (*.f64 x x) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 x x) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (neg.f64 x)) |
(/.f64 (pow.f64 x #s(literal 3 binary64)) x) |
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) (log.f64 x))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) |
(*.f64 (*.f64 x x) x) |
(*.f64 x (*.f64 x x)) |
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) |
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 x)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3/4 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
(/.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) (neg.f64 x)) |
(/.f64 (pow.f64 x #s(literal 4 binary64)) x) |
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)) (log.f64 x))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
Compiled 12 241 to 1 309 computations (89.3% saved)
4 alts after pruning (0 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 641 | 0 | 641 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 2 | 2 |
| Total | 641 | 4 | 645 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (fma.f64 x x (*.f64 (*.f64 x x) x)) |
| ✓ | 100.0% | (*.f64 (fma.f64 x x x) x) |
| ✓ | 100.0% | (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) x) |
| ✓ | 97.3% | #s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) |
Compiled 80 to 33 computations (58.8% saved)
| Inputs |
|---|
#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) |
(*.f64 (fma.f64 x x x) x) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) x) |
(*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) |
(fma.f64 x x (*.f64 (*.f64 x x) x)) |
(fma.f64 (*.f64 x x) x (*.f64 x x)) |
(+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
(fma.f64 x x (pow.f64 x #s(literal 3 binary64))) |
| Outputs |
|---|
(fma.f64 x x (*.f64 (*.f64 x x) x)) |
2 calls:
| 3.0ms | x |
| 2.0ms | (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
Compiled 10 to 5 computations (50% saved)
| Inputs |
|---|
#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) |
(*.f64 (fma.f64 x x x) x) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) x) |
(*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) |
| Outputs |
|---|
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) x) |
2 calls:
| 21.0ms | (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
Compiled 10 to 5 computations (50% saved)
| Inputs |
|---|
#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) |
(*.f64 (fma.f64 x x x) x) |
| Outputs |
|---|
(*.f64 (fma.f64 x x x) x) |
2 calls:
| 3.0ms | x |
| 2.0ms | (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
Compiled 10 to 5 computations (50% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) |
| Outputs |
|---|
#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) |
2 calls:
| 6.0ms | x |
| 2.0ms | (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.3% | 1 | x |
| 97.3% | 1 | (+.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) |
Compiled 10 to 5 computations (50% saved)
| 1× | egg-herbie |
| 8× | *-commutative-binary64-*.f64 |
| 2× | 1-exp-binary32-exp.f32 |
| 2× | 1-exp-binary64-exp.f64 |
| 2× | +-commutative-binary64-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 34 |
| 1 | 22 | 34 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 x x (*.f64 (*.f64 x x) x)) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) x) |
(*.f64 (fma.f64 x x x) x) |
#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) |
| Outputs |
|---|
(fma.f64 x x (*.f64 (*.f64 x x) x)) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) x) x) |
(*.f64 (fma.f64 x x x) x) |
#s(approx (+ (* x (* x x)) (* x x)) (*.f64 x x)) |
| 10 118× | lower-fma.f64 |
| 10 118× | lower-fma.f32 |
| 7 796× | lower-fma.f32 |
| 7 790× | lower-fma.f64 |
| 5 604× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 17 |
| 0 | 7 | 13 |
| 1 | 30 | 13 |
| 2 | 199 | 13 |
| 3 | 1768 | 13 |
| 0 | 8450 | 12 |
| 0 | 11 | 144 |
| 1 | 30 | 144 |
| 2 | 64 | 144 |
| 3 | 103 | 144 |
| 4 | 286 | 144 |
| 5 | 1326 | 144 |
| 6 | 2335 | 144 |
| 7 | 3183 | 144 |
| 8 | 3904 | 144 |
| 9 | 4731 | 144 |
| 10 | 5074 | 144 |
| 11 | 5337 | 144 |
| 12 | 5549 | 144 |
| 13 | 5769 | 144 |
| 14 | 5852 | 144 |
| 15 | 6642 | 144 |
| 16 | 7744 | 144 |
| 0 | 8032 | 135 |
| 0 | 15 | 53 |
| 0 | 25 | 47 |
| 1 | 81 | 47 |
| 2 | 504 | 47 |
| 3 | 5544 | 47 |
| 0 | 8569 | 47 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 108 to 47 computations (56.5% saved)
Compiled 82 to 40 computations (51.2% saved)
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