
Time bar (total: 9.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 4 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 5 |
| 62.5% | 62.4% | 37.5% | 0.1% | 0% | 0% | 0% | 6 |
| 62.5% | 62.4% | 37.5% | 0.1% | 0% | 0% | 0% | 7 |
| 68.8% | 68.7% | 31.2% | 0.1% | 0% | 0% | 0% | 8 |
| 68.8% | 68.7% | 31.2% | 0.1% | 0% | 0% | 0% | 9 |
| 71.9% | 71.8% | 28.1% | 0.1% | 0% | 0% | 0% | 10 |
| 71.9% | 71.8% | 28.1% | 0.1% | 0% | 0% | 0% | 11 |
| 73.4% | 73.4% | 26.5% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 18 to 10 computations (44.4% saved)
| 746.0ms | 7 721× | 0 | exit |
| 707.0ms | 6 489× | 0 | valid |
| 350.0ms | 1 767× | 1 | valid |
ival-exp: 260.0ms (23.4% of total)ival-sub: 223.0ms (20% of total)ival-div: 217.0ms (19.5% of total)ival-mult: 198.0ms (17.8% of total)ival-add: 149.0ms (13.4% of total)adjust: 46.0ms (4.1% of total)ival-true: 13.0ms (1.2% of total)ival-assert: 7.0ms (0.6% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 61 | 1 | (1.6411680381579835e-93 -2.9207266457046286e-96) | 0 | - | (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) |
| 4 | 0 | - | 0 | - | (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))) |
| 0 | 0 | - | 0 | - | (-.f64 (*.f64 wj (exp.f64 wj)) x) |
| 0 | 0 | - | 0 | - | (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))) |
| 0 | 0 | - | 0 | - | (*.f64 wj (exp.f64 wj)) |
| 0 | 0 | - | 0 | - | (exp.f64 wj) |
| 0 | 0 | - | 0 | - | wj |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) | cancellation | 62 | 0 |
/.f64 | (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))) | o/o | 4 | 0 |
| ↳ | (*.f64 wj (exp.f64 wj)) | overflow | 4 | |
| ↳ | (-.f64 (*.f64 wj (exp.f64 wj)) x) | overflow | 4 | |
| ↳ | (exp.f64 wj) | overflow | 4 | |
| ↳ | (*.f64 wj (exp.f64 wj)) | overflow | 4 | |
| ↳ | (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))) | overflow | 4 | |
| ↳ | (exp.f64 wj) | overflow | 8 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 65 | 4 |
| - | 1 | 186 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 65 | 0 | 4 |
| - | 1 | 0 | 186 |
| number | freq |
|---|---|
| 0 | 190 |
| 1 | 66 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 27.0ms | 400× | 0 | valid |
| 18.0ms | 112× | 1 | valid |
Compiled 122 to 28 computations (77% saved)
ival-exp: 8.0ms (28% of total)ival-sub: 7.0ms (24.5% of total)ival-div: 4.0ms (14% of total)ival-mult: 4.0ms (14% of total)ival-add: 3.0ms (10.5% of total)adjust: 2.0ms (7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
| 8 168× | lower-fma.f64 |
| 8 168× | lower-fma.f32 |
| 3 376× | lower-*.f32 |
| 3 374× | lower-*.f64 |
| 1 284× | unsub-neg |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 89 |
| 1 | 69 | 87 |
| 2 | 240 | 75 |
| 3 | 990 | 64 |
| 4 | 4164 | 60 |
| 5 | 7154 | 60 |
| 0 | 8 | 16 |
| 0 | 14 | 15 |
| 1 | 26 | 15 |
| 2 | 61 | 15 |
| 3 | 172 | 12 |
| 4 | 529 | 12 |
| 5 | 1519 | 12 |
| 6 | 3489 | 12 |
| 7 | 4786 | 12 |
| 8 | 5929 | 12 |
| 9 | 7036 | 12 |
| 0 | 8154 | 12 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) |
| Outputs |
|---|
(-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) |
(-.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (-.f64 #s(literal -1 binary64) wj))) |
Compiled 16 to 8 computations (50% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 75.6% | (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) |
Compiled 16 to 8 computations (50% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 (*.f64 wj (exp.f64 wj)) x) | |
| cost-diff | 0 | (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) | |
| cost-diff | 128 | (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))) | |
| cost-diff | 12608 | (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))) |
| 8 168× | lower-fma.f64 |
| 8 168× | lower-fma.f32 |
| 3 376× | lower-*.f32 |
| 3 374× | lower-*.f64 |
| 1 272× | div-sub |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 51 |
| 0 | 14 | 48 |
| 1 | 26 | 48 |
| 2 | 61 | 48 |
| 3 | 172 | 42 |
| 4 | 529 | 42 |
| 5 | 1519 | 42 |
| 6 | 3489 | 42 |
| 7 | 4786 | 42 |
| 8 | 5929 | 42 |
| 9 | 7036 | 42 |
| 0 | 8154 | 42 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) |
wj |
(/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))) |
(-.f64 (*.f64 wj (exp.f64 wj)) x) |
(*.f64 wj (exp.f64 wj)) |
(exp.f64 wj) |
x |
(+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))) |
| Outputs |
|---|
(-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) |
(-.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (-.f64 #s(literal -1 binary64) wj))) |
wj |
(/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))) |
(/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (-.f64 #s(literal -1 binary64) wj)) |
(-.f64 (*.f64 wj (exp.f64 wj)) x) |
(-.f64 (*.f64 (exp.f64 wj) wj) x) |
(*.f64 wj (exp.f64 wj)) |
(*.f64 (exp.f64 wj) wj) |
(exp.f64 wj) |
x |
(+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))) |
(fma.f64 (exp.f64 wj) wj (exp.f64 wj)) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01171875 | (*.f64 wj (exp.f64 wj)) | |
| accuracy | 0.0234375 | (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))) | |
| accuracy | 0.9843860105080933 | (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))) | |
| accuracy | 13.596065602757193 | (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) |
| 13.0ms | 200× | 0 | valid |
| 10.0ms | 56× | 1 | valid |
Compiled 53 to 10 computations (81.1% saved)
ival-exp: 4.0ms (29.6% of total)ival-sub: 3.0ms (22.2% of total)ival-div: 2.0ms (14.8% of total)ival-mult: 2.0ms (14.8% of total)adjust: 1.0ms (7.4% of total)ival-add: 1.0ms (7.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))) (patch (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))) #<representation binary64>) () ()) |
#s(alt (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))) (patch (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))) #<representation binary64>) () ()) |
#s(alt (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) (patch (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 wj (exp.f64 wj)) x) (patch (-.f64 (*.f64 wj (exp.f64 wj)) x) #<representation binary64>) () ()) |
#s(alt (*.f64 wj (exp.f64 wj)) (patch (*.f64 wj (exp.f64 wj)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 x) (taylor 0 wj) (#s(alt (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))) (patch (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (* wj (- 1 (* -2 x)))) (taylor 0 wj) (#s(alt (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))) (patch (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (* wj (- (+ 1 (* wj (- 1 (+ (* -3/2 x) (* 2 (- 1 (* -2 x))))))) (* -2 x)))) (taylor 0 wj) (#s(alt (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))) (patch (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 x) (* wj (- (+ 1 (* wj (- (+ 1 (* wj (- 1/2 (+ (* -2/3 x) (+ (* 3/2 (- 1 (* -2 x))) (* 2 (- 1 (+ (* -3/2 x) (* 2 (- 1 (* -2 x))))))))))) (+ (* -3/2 x) (* 2 (- 1 (* -2 x))))))) (* -2 x)))) (taylor 0 wj) (#s(alt (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))) (patch (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 wj) (#s(alt (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))) (patch (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 2 wj)) (taylor 0 wj) (#s(alt (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))) (patch (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* wj (+ 2 (* 3/2 wj)))) (taylor 0 wj) (#s(alt (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))) (patch (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* wj (+ 2 (* wj (+ 3/2 (* 2/3 wj)))))) (taylor 0 wj) (#s(alt (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))) (patch (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 wj) (#s(alt (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) (patch (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -2 (* wj x))) (taylor 0 wj) (#s(alt (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) (patch (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* wj (- (* wj (- 1 (+ (* -4 x) (* 3/2 x)))) (* 2 x)))) (taylor 0 wj) (#s(alt (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) (patch (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* wj (- (* wj (- (+ 1 (* -1 (* wj (+ 1 (+ (* -3 x) (+ (* -2 (+ (* -4 x) (* 3/2 x))) (* 2/3 x))))))) (+ (* -4 x) (* 3/2 x)))) (* 2 x)))) (taylor 0 wj) (#s(alt (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) (patch (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 wj) (#s(alt (-.f64 (*.f64 wj (exp.f64 wj)) x) (patch (-.f64 (*.f64 wj (exp.f64 wj)) x) #<representation binary64>) () ())) ()) |
#s(alt (- wj x) (taylor 0 wj) (#s(alt (-.f64 (*.f64 wj (exp.f64 wj)) x) (patch (-.f64 (*.f64 wj (exp.f64 wj)) x) #<representation binary64>) () ())) ()) |
#s(alt (- (* wj (+ 1 wj)) x) (taylor 0 wj) (#s(alt (-.f64 (*.f64 wj (exp.f64 wj)) x) (patch (-.f64 (*.f64 wj (exp.f64 wj)) x) #<representation binary64>) () ())) ()) |
#s(alt (- (* wj (+ 1 (* wj (+ 1 (* 1/2 wj))))) x) (taylor 0 wj) (#s(alt (-.f64 (*.f64 wj (exp.f64 wj)) x) (patch (-.f64 (*.f64 wj (exp.f64 wj)) x) #<representation binary64>) () ())) ()) |
#s(alt wj (taylor 0 wj) (#s(alt (*.f64 wj (exp.f64 wj)) (patch (*.f64 wj (exp.f64 wj)) #<representation binary64>) () ())) ()) |
#s(alt (* wj (+ 1 wj)) (taylor 0 wj) (#s(alt (*.f64 wj (exp.f64 wj)) (patch (*.f64 wj (exp.f64 wj)) #<representation binary64>) () ())) ()) |
#s(alt (* wj (+ 1 (* wj (+ 1 (* 1/2 wj))))) (taylor 0 wj) (#s(alt (*.f64 wj (exp.f64 wj)) (patch (*.f64 wj (exp.f64 wj)) #<representation binary64>) () ())) ()) |
#s(alt (* wj (+ 1 (* wj (+ 1 (* wj (+ 1/2 (* 1/6 wj))))))) (taylor 0 wj) (#s(alt (*.f64 wj (exp.f64 wj)) (patch (*.f64 wj (exp.f64 wj)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor inf wj) (#s(alt (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))) (patch (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* -1 (/ x (* wj (exp wj))))) (/ 1 wj)) (taylor inf wj) (#s(alt (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))) (patch (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (+ (* -1 (/ x (* wj (exp wj)))) (/ 1 (pow wj 2)))) (+ (* -1 (/ x (* (pow wj 2) (exp wj)))) (/ 1 wj))) (taylor inf wj) (#s(alt (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))) (patch (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (+ (* -1 (/ x (* wj (exp wj)))) (+ (* -1 (/ x (* (pow wj 3) (exp wj)))) (/ 1 (pow wj 2))))) (+ (* -1 (/ x (* (pow wj 2) (exp wj)))) (+ (/ 1 wj) (/ 1 (pow wj 3))))) (taylor inf wj) (#s(alt (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))) (patch (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))) #<representation binary64>) () ())) ()) |
#s(alt (* wj (exp wj)) (taylor inf wj) (#s(alt (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))) (patch (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))) #<representation binary64>) () ())) ()) |
#s(alt (* wj (+ (exp wj) (/ (exp wj) wj))) (taylor inf wj) (#s(alt (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))) (patch (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))) #<representation binary64>) () ())) ()) |
#s(alt (* wj (+ (exp wj) (/ (exp wj) wj))) (taylor inf wj) (#s(alt (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))) (patch (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))) #<representation binary64>) () ())) ()) |
#s(alt (* wj (+ (exp wj) (/ (exp wj) wj))) (taylor inf wj) (#s(alt (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))) (patch (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))) #<representation binary64>) () ())) ()) |
#s(alt wj (taylor inf wj) (#s(alt (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) (patch (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) #<representation binary64>) () ())) ()) |
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#s(alt (/ x (+ (exp wj) (* wj (exp wj)))) (taylor -inf x) (#s(alt (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) (patch (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) (taylor -inf x) (#s(alt (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) (patch (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) (taylor -inf x) (#s(alt (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) (patch (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) (taylor -inf x) (#s(alt (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) (patch (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 (*.f64 wj (exp.f64 wj)) x) (patch (-.f64 (*.f64 wj (exp.f64 wj)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ (* wj (exp wj)) x))))) (taylor -inf x) (#s(alt (-.f64 (*.f64 wj (exp.f64 wj)) x) (patch (-.f64 (*.f64 wj (exp.f64 wj)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ (* wj (exp wj)) x))))) (taylor -inf x) (#s(alt (-.f64 (*.f64 wj (exp.f64 wj)) x) (patch (-.f64 (*.f64 wj (exp.f64 wj)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ (* wj (exp wj)) x))))) (taylor -inf x) (#s(alt (-.f64 (*.f64 wj (exp.f64 wj)) x) (patch (-.f64 (*.f64 wj (exp.f64 wj)) x) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | wj | @ | -inf | ((/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (+ (exp wj) (* wj (exp wj))) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (- (* wj (exp wj)) x) (* wj (exp wj))) |
| 1.0ms | wj | @ | 0 | ((/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (+ (exp wj) (* wj (exp wj))) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (- (* wj (exp wj)) x) (* wj (exp wj))) |
| 1.0ms | x | @ | inf | ((/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (+ (exp wj) (* wj (exp wj))) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (- (* wj (exp wj)) x) (* wj (exp wj))) |
| 1.0ms | wj | @ | inf | ((/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (+ (exp wj) (* wj (exp wj))) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (- (* wj (exp wj)) x) (* wj (exp wj))) |
| 1.0ms | x | @ | 0 | ((/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (+ (exp wj) (* wj (exp wj))) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (- (* wj (exp wj)) x) (* wj (exp wj))) |
| 1× | egg-herbie |
| 16 880× | lower-fma.f64 |
| 16 880× | lower-fma.f32 |
| 4 600× | lower-*.f64 |
| 4 600× | lower-*.f32 |
| 3 588× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 229 | 1279 |
| 1 | 703 | 1230 |
| 2 | 2140 | 1025 |
| 3 | 7956 | 962 |
| 0 | 8911 | 916 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 x) |
(+ (* -1 x) (* wj (- 1 (* -2 x)))) |
(+ (* -1 x) (* wj (- (+ 1 (* wj (- 1 (+ (* -3/2 x) (* 2 (- 1 (* -2 x))))))) (* -2 x)))) |
(+ (* -1 x) (* wj (- (+ 1 (* wj (- (+ 1 (* wj (- 1/2 (+ (* -2/3 x) (+ (* 3/2 (- 1 (* -2 x))) (* 2 (- 1 (+ (* -3/2 x) (* 2 (- 1 (* -2 x))))))))))) (+ (* -3/2 x) (* 2 (- 1 (* -2 x))))))) (* -2 x)))) |
1 |
(+ 1 (* 2 wj)) |
(+ 1 (* wj (+ 2 (* 3/2 wj)))) |
(+ 1 (* wj (+ 2 (* wj (+ 3/2 (* 2/3 wj)))))) |
x |
(+ x (* -2 (* wj x))) |
(+ x (* wj (- (* wj (- 1 (+ (* -4 x) (* 3/2 x)))) (* 2 x)))) |
(+ x (* wj (- (* wj (- (+ 1 (* -1 (* wj (+ 1 (+ (* -3 x) (+ (* -2 (+ (* -4 x) (* 3/2 x))) (* 2/3 x))))))) (+ (* -4 x) (* 3/2 x)))) (* 2 x)))) |
(* -1 x) |
(- wj x) |
(- (* wj (+ 1 wj)) x) |
(- (* wj (+ 1 (* wj (+ 1 (* 1/2 wj))))) x) |
wj |
(* wj (+ 1 wj)) |
(* wj (+ 1 (* wj (+ 1 (* 1/2 wj))))) |
(* wj (+ 1 (* wj (+ 1 (* wj (+ 1/2 (* 1/6 wj))))))) |
1 |
(- (+ 1 (* -1 (/ x (* wj (exp wj))))) (/ 1 wj)) |
(- (+ 1 (+ (* -1 (/ x (* wj (exp wj)))) (/ 1 (pow wj 2)))) (+ (* -1 (/ x (* (pow wj 2) (exp wj)))) (/ 1 wj))) |
(- (+ 1 (+ (* -1 (/ x (* wj (exp wj)))) (+ (* -1 (/ x (* (pow wj 3) (exp wj)))) (/ 1 (pow wj 2))))) (+ (* -1 (/ x (* (pow wj 2) (exp wj)))) (+ (/ 1 wj) (/ 1 (pow wj 3))))) |
(* wj (exp wj)) |
(* wj (+ (exp wj) (/ (exp wj) wj))) |
(* wj (+ (exp wj) (/ (exp wj) wj))) |
(* wj (+ (exp wj) (/ (exp wj) wj))) |
wj |
(* wj (- 1 (/ 1 wj))) |
(* wj (- (+ 1 (+ (/ 1 (pow wj 2)) (/ x (* (pow wj 2) (exp wj))))) (/ 1 wj))) |
(* wj (- (+ 1 (+ (* -1 (/ (+ 1 (/ x (exp wj))) (pow wj 3))) (+ (/ 1 (pow wj 2)) (/ x (* (pow wj 2) (exp wj)))))) (/ 1 wj))) |
(* wj (exp wj)) |
(* wj (+ (exp wj) (* -1 (/ x wj)))) |
(* wj (+ (exp wj) (* -1 (/ x wj)))) |
(* wj (+ (exp wj) (* -1 (/ x wj)))) |
(* wj (exp wj)) |
(* wj (exp wj)) |
(* wj (exp wj)) |
(* wj (exp wj)) |
1 |
(+ 1 (* -1 (/ (+ 1 (/ x (exp wj))) wj))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (/ x (exp wj))) wj)) (/ x (exp wj)))) wj))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 (/ (- (* -1 (/ (+ 1 (/ x (exp wj))) wj)) (* -1 (+ 1 (/ x (exp wj))))) wj)) (/ x (exp wj)))) wj))) |
(* wj (exp wj)) |
(* -1 (* wj (+ (* -1 (exp wj)) (* -1 (/ (exp wj) wj))))) |
(* -1 (* wj (+ (* -1 (exp wj)) (* -1 (/ (exp wj) wj))))) |
(* -1 (* wj (+ (* -1 (exp wj)) (* -1 (/ (exp wj) wj))))) |
wj |
(* -1 (* wj (- (/ 1 wj) 1))) |
(* -1 (* wj (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ x (exp wj))) 1) wj)) 1) wj)) 1))) |
(* -1 (* wj (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ x (exp wj))) (+ (/ 1 wj) (/ x (* wj (exp wj))))) 1) wj)) 1) wj)) 1))) |
(* wj (exp wj)) |
(* -1 (* wj (+ (* -1 (exp wj)) (/ x wj)))) |
(* -1 (* wj (+ (* -1 (exp wj)) (/ x wj)))) |
(* -1 (* wj (+ (* -1 (exp wj)) (/ x wj)))) |
(* wj (exp wj)) |
(* wj (exp wj)) |
(* wj (exp wj)) |
(* wj (exp wj)) |
(/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))) |
(+ (* -1 (/ x (+ (exp wj) (* wj (exp wj))))) (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) |
(+ (* -1 (/ x (+ (exp wj) (* wj (exp wj))))) (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) |
(+ (* -1 (/ x (+ (exp wj) (* wj (exp wj))))) (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) |
(- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) |
(- (+ wj (/ x (+ (exp wj) (* wj (exp wj))))) (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) |
(- (+ wj (/ x (+ (exp wj) (* wj (exp wj))))) (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) |
(- (+ wj (/ x (+ (exp wj) (* wj (exp wj))))) (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) |
(* wj (exp wj)) |
(+ (* -1 x) (* wj (exp wj))) |
(+ (* -1 x) (* wj (exp wj))) |
(+ (* -1 x) (* wj (exp wj))) |
(* -1 (/ x (+ (exp wj) (* wj (exp wj))))) |
(* x (- (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj))))) (/ 1 (+ (exp wj) (* wj (exp wj)))))) |
(* x (- (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj))))) (/ 1 (+ (exp wj) (* wj (exp wj)))))) |
(* x (- (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj))))) (/ 1 (+ (exp wj) (* wj (exp wj)))))) |
(/ x (+ (exp wj) (* wj (exp wj)))) |
(* x (- (+ (/ 1 (+ (exp wj) (* wj (exp wj)))) (/ wj x)) (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj))))))) |
(* x (- (+ (/ 1 (+ (exp wj) (* wj (exp wj)))) (/ wj x)) (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj))))))) |
(* x (- (+ (/ 1 (+ (exp wj) (* wj (exp wj)))) (/ wj x)) (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj))))))) |
(* -1 x) |
(* x (- (/ (* wj (exp wj)) x) 1)) |
(* x (- (/ (* wj (exp wj)) x) 1)) |
(* x (- (/ (* wj (exp wj)) x) 1)) |
(* -1 (/ x (+ (exp wj) (* wj (exp wj))))) |
(* -1 (* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(* -1 (* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(* -1 (* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(/ x (+ (exp wj) (* wj (exp wj)))) |
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ (* wj (exp wj)) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (* wj (exp wj)) x))))) |
(* -1 (* x (+ 1 (* -1 (/ (* wj (exp wj)) x))))) |
| Outputs |
|---|
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (* wj (- 1 (* -2 x)))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) wj (neg.f64 x)) |
(+ (* -1 x) (* wj (- (+ 1 (* wj (- 1 (+ (* -3/2 x) (* 2 (- 1 (* -2 x))))))) (* -2 x)))) |
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 5/2 binary64) x))) wj (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj (neg.f64 x)) |
(+ (* -1 x) (* wj (- (+ 1 (* wj (- (+ 1 (* wj (- 1/2 (+ (* -2/3 x) (+ (* 3/2 (- 1 (* -2 x))) (* 2 (- 1 (+ (* -3/2 x) (* 2 (- 1 (* -2 x))))))))))) (+ (* -3/2 x) (* 2 (- 1 (* -2 x))))))) (* -2 x)))) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2/3 binary64) x (fma.f64 #s(literal 3 binary64) x #s(literal 3/2 binary64)))) (fma.f64 #s(literal -2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 5/2 binary64) x)) #s(literal 2 binary64))) wj (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 5/2 binary64) x)))) wj (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj (neg.f64 x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 wj)) |
(fma.f64 #s(literal 2 binary64) wj #s(literal 1 binary64)) |
(+ 1 (* wj (+ 2 (* 3/2 wj)))) |
(fma.f64 (fma.f64 #s(literal 3/2 binary64) wj #s(literal 2 binary64)) wj #s(literal 1 binary64)) |
(+ 1 (* wj (+ 2 (* wj (+ 3/2 (* 2/3 wj)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) wj #s(literal 3/2 binary64)) wj #s(literal 2 binary64)) wj #s(literal 1 binary64)) |
x |
(+ x (* -2 (* wj x))) |
(fma.f64 (*.f64 wj x) #s(literal -2 binary64) x) |
(+ x (* wj (- (* wj (- 1 (+ (* -4 x) (* 3/2 x)))) (* 2 x)))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x) |
(+ x (* wj (- (* wj (- (+ 1 (* -1 (* wj (+ 1 (+ (* -3 x) (+ (* -2 (+ (* -4 x) (* 3/2 x))) (* 2/3 x))))))) (+ (* -4 x) (* 3/2 x)))) (* 2 x)))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj x) |
(* -1 x) |
(neg.f64 x) |
(- wj x) |
(-.f64 wj x) |
(- (* wj (+ 1 wj)) x) |
(fma.f64 wj wj (-.f64 wj x)) |
(- (* wj (+ 1 (* wj (+ 1 (* 1/2 wj))))) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) wj #s(literal 1 binary64)) wj #s(literal 1 binary64)) wj (neg.f64 x)) |
wj |
(* wj (+ 1 wj)) |
(fma.f64 wj wj wj) |
(* wj (+ 1 (* wj (+ 1 (* 1/2 wj))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) wj #s(literal 1 binary64)) wj #s(literal 1 binary64)) wj) |
(* wj (+ 1 (* wj (+ 1 (* wj (+ 1/2 (* 1/6 wj))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) wj #s(literal 1/2 binary64)) wj #s(literal 1 binary64)) wj #s(literal 1 binary64)) wj) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* -1 (/ x (* wj (exp wj))))) (/ 1 wj)) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) #s(literal -1 binary64)) wj)) |
(- (+ 1 (+ (* -1 (/ x (* wj (exp wj)))) (/ 1 (pow wj 2)))) (+ (* -1 (/ x (* (pow wj 2) (exp wj)))) (/ 1 wj))) |
(neg.f64 (fma.f64 (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) #s(literal -1 binary64)) wj) (-.f64 (/.f64 #s(literal -1 binary64) wj) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(- (+ 1 (+ (* -1 (/ x (* wj (exp wj)))) (+ (* -1 (/ x (* (pow wj 3) (exp wj)))) (/ 1 (pow wj 2))))) (+ (* -1 (/ x (* (pow wj 2) (exp wj)))) (+ (/ 1 wj) (/ 1 (pow wj 3))))) |
(-.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 wj #s(literal 3 binary64))) (/.f64 x (exp.f64 wj)) (/.f64 (*.f64 (-.f64 (/.f64 x (exp.f64 wj)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal -1 binary64) wj) #s(literal -1 binary64))) (neg.f64 wj))) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 wj #s(literal 3 binary64))) #s(literal 1 binary64))) |
(* wj (exp wj)) |
(*.f64 (exp.f64 wj) wj) |
(* wj (+ (exp wj) (/ (exp wj) wj))) |
(fma.f64 (exp.f64 wj) wj (exp.f64 wj)) |
(* wj (+ (exp wj) (/ (exp wj) wj))) |
(fma.f64 (exp.f64 wj) wj (exp.f64 wj)) |
(* wj (+ (exp wj) (/ (exp wj) wj))) |
(fma.f64 (exp.f64 wj) wj (exp.f64 wj)) |
wj |
(* wj (- 1 (/ 1 wj))) |
(+.f64 wj #s(literal -1 binary64)) |
(* wj (- (+ 1 (+ (/ 1 (pow wj 2)) (/ x (* (pow wj 2) (exp wj))))) (/ 1 wj))) |
(fma.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) #s(literal -1 binary64)) wj) #s(literal 1 binary64)) wj) wj wj) |
(* wj (- (+ 1 (+ (* -1 (/ (+ 1 (/ x (exp wj))) (pow wj 3))) (+ (/ 1 (pow wj 2)) (/ x (* (pow wj 2) (exp wj)))))) (/ 1 wj))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) #s(literal -1 binary64)) wj) (-.f64 (/.f64 #s(literal -1 binary64) wj) #s(literal -1 binary64)) #s(literal -1 binary64)) wj) wj wj) |
(* wj (exp wj)) |
(*.f64 (exp.f64 wj) wj) |
(* wj (+ (exp wj) (* -1 (/ x wj)))) |
(fma.f64 (exp.f64 wj) wj (neg.f64 x)) |
(* wj (+ (exp wj) (* -1 (/ x wj)))) |
(fma.f64 (exp.f64 wj) wj (neg.f64 x)) |
(* wj (+ (exp wj) (* -1 (/ x wj)))) |
(fma.f64 (exp.f64 wj) wj (neg.f64 x)) |
(* wj (exp wj)) |
(*.f64 (exp.f64 wj) wj) |
(* wj (exp wj)) |
(*.f64 (exp.f64 wj) wj) |
(* wj (exp wj)) |
(*.f64 (exp.f64 wj) wj) |
(* wj (exp wj)) |
(*.f64 (exp.f64 wj) wj) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (+ 1 (/ x (exp wj))) wj))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) #s(literal -1 binary64)) wj)) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (/ x (exp wj))) wj)) (/ x (exp wj)))) wj))) |
(neg.f64 (fma.f64 (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) #s(literal -1 binary64)) wj) (-.f64 (/.f64 #s(literal -1 binary64) wj) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 (/ (- (* -1 (/ (+ 1 (/ x (exp wj))) wj)) (* -1 (+ 1 (/ x (exp wj))))) wj)) (/ x (exp wj)))) wj))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) (fma.f64 (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) #s(literal -1 binary64)) wj) (-.f64 (/.f64 #s(literal -1 binary64) wj) #s(literal -1 binary64)) #s(literal -1 binary64))) wj)) |
(* wj (exp wj)) |
(*.f64 (exp.f64 wj) wj) |
(* -1 (* wj (+ (* -1 (exp wj)) (* -1 (/ (exp wj) wj))))) |
(fma.f64 (exp.f64 wj) wj (exp.f64 wj)) |
(* -1 (* wj (+ (* -1 (exp wj)) (* -1 (/ (exp wj) wj))))) |
(fma.f64 (exp.f64 wj) wj (exp.f64 wj)) |
(* -1 (* wj (+ (* -1 (exp wj)) (* -1 (/ (exp wj) wj))))) |
(fma.f64 (exp.f64 wj) wj (exp.f64 wj)) |
wj |
(* -1 (* wj (- (/ 1 wj) 1))) |
(+.f64 wj #s(literal -1 binary64)) |
(* -1 (* wj (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ x (exp wj))) 1) wj)) 1) wj)) 1))) |
(fma.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) #s(literal -1 binary64)) wj) #s(literal 1 binary64)) wj) wj wj) |
(* -1 (* wj (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ x (exp wj))) (+ (/ 1 wj) (/ x (* wj (exp wj))))) 1) wj)) 1) wj)) 1))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) #s(literal -1 binary64)) wj) (-.f64 (/.f64 #s(literal -1 binary64) wj) #s(literal -1 binary64)) #s(literal -1 binary64)) wj) wj wj) |
(* wj (exp wj)) |
(*.f64 (exp.f64 wj) wj) |
(* -1 (* wj (+ (* -1 (exp wj)) (/ x wj)))) |
(fma.f64 (exp.f64 wj) wj (neg.f64 x)) |
(* -1 (* wj (+ (* -1 (exp wj)) (/ x wj)))) |
(fma.f64 (exp.f64 wj) wj (neg.f64 x)) |
(* -1 (* wj (+ (* -1 (exp wj)) (/ x wj)))) |
(fma.f64 (exp.f64 wj) wj (neg.f64 x)) |
(* wj (exp wj)) |
(*.f64 (exp.f64 wj) wj) |
(* wj (exp wj)) |
(*.f64 (exp.f64 wj) wj) |
(* wj (exp wj)) |
(*.f64 (exp.f64 wj) wj) |
(* wj (exp wj)) |
(*.f64 (exp.f64 wj) wj) |
(/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))) |
(/.f64 wj (+.f64 #s(literal 1 binary64) wj)) |
(+ (* -1 (/ x (+ (exp wj) (* wj (exp wj))))) (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) |
(-.f64 (/.f64 wj (+.f64 #s(literal 1 binary64) wj)) (/.f64 x (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))) |
(+ (* -1 (/ x (+ (exp wj) (* wj (exp wj))))) (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) |
(-.f64 (/.f64 wj (+.f64 #s(literal 1 binary64) wj)) (/.f64 x (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))) |
(+ (* -1 (/ x (+ (exp wj) (* wj (exp wj))))) (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) |
(-.f64 (/.f64 wj (+.f64 #s(literal 1 binary64) wj)) (/.f64 x (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))) |
(- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) |
(-.f64 wj (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) |
(- (+ wj (/ x (+ (exp wj) (* wj (exp wj))))) (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) |
(-.f64 (+.f64 (/.f64 x (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) wj) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) |
(- (+ wj (/ x (+ (exp wj) (* wj (exp wj))))) (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) |
(-.f64 (+.f64 (/.f64 x (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) wj) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) |
(- (+ wj (/ x (+ (exp wj) (* wj (exp wj))))) (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) |
(-.f64 (+.f64 (/.f64 x (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) wj) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) |
(* wj (exp wj)) |
(*.f64 (exp.f64 wj) wj) |
(+ (* -1 x) (* wj (exp wj))) |
(fma.f64 (exp.f64 wj) wj (neg.f64 x)) |
(+ (* -1 x) (* wj (exp wj))) |
(fma.f64 (exp.f64 wj) wj (neg.f64 x)) |
(+ (* -1 x) (* wj (exp wj))) |
(fma.f64 (exp.f64 wj) wj (neg.f64 x)) |
(* -1 (/ x (+ (exp wj) (* wj (exp wj))))) |
(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (neg.f64 (exp.f64 wj))) |
(* x (- (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj))))) (/ 1 (+ (exp wj) (* wj (exp wj)))))) |
(*.f64 (-.f64 (/.f64 (/.f64 wj (+.f64 #s(literal 1 binary64) wj)) x) (/.f64 (exp.f64 (neg.f64 wj)) (+.f64 #s(literal 1 binary64) wj))) x) |
(* x (- (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj))))) (/ 1 (+ (exp wj) (* wj (exp wj)))))) |
(*.f64 (-.f64 (/.f64 (/.f64 wj (+.f64 #s(literal 1 binary64) wj)) x) (/.f64 (exp.f64 (neg.f64 wj)) (+.f64 #s(literal 1 binary64) wj))) x) |
(* x (- (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj))))) (/ 1 (+ (exp wj) (* wj (exp wj)))))) |
(*.f64 (-.f64 (/.f64 (/.f64 wj (+.f64 #s(literal 1 binary64) wj)) x) (/.f64 (exp.f64 (neg.f64 wj)) (+.f64 #s(literal 1 binary64) wj))) x) |
(/ x (+ (exp wj) (* wj (exp wj)))) |
(/.f64 x (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) |
(* x (- (+ (/ 1 (+ (exp wj) (* wj (exp wj)))) (/ wj x)) (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj))))))) |
(*.f64 (+.f64 (/.f64 (-.f64 wj (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) x) (/.f64 (exp.f64 (neg.f64 wj)) (+.f64 #s(literal 1 binary64) wj))) x) |
(* x (- (+ (/ 1 (+ (exp wj) (* wj (exp wj)))) (/ wj x)) (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj))))))) |
(*.f64 (+.f64 (/.f64 (-.f64 wj (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) x) (/.f64 (exp.f64 (neg.f64 wj)) (+.f64 #s(literal 1 binary64) wj))) x) |
(* x (- (+ (/ 1 (+ (exp wj) (* wj (exp wj)))) (/ wj x)) (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj))))))) |
(*.f64 (+.f64 (/.f64 (-.f64 wj (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) x) (/.f64 (exp.f64 (neg.f64 wj)) (+.f64 #s(literal 1 binary64) wj))) x) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ (* wj (exp wj)) x) 1)) |
(*.f64 (fma.f64 (/.f64 wj x) (exp.f64 wj) #s(literal -1 binary64)) x) |
(* x (- (/ (* wj (exp wj)) x) 1)) |
(*.f64 (fma.f64 (/.f64 wj x) (exp.f64 wj) #s(literal -1 binary64)) x) |
(* x (- (/ (* wj (exp wj)) x) 1)) |
(*.f64 (fma.f64 (/.f64 wj x) (exp.f64 wj) #s(literal -1 binary64)) x) |
(* -1 (/ x (+ (exp wj) (* wj (exp wj))))) |
(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (neg.f64 (exp.f64 wj))) |
(* -1 (* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(*.f64 (-.f64 (/.f64 (/.f64 wj (+.f64 #s(literal 1 binary64) wj)) x) (/.f64 (exp.f64 (neg.f64 wj)) (+.f64 #s(literal 1 binary64) wj))) x) |
(* -1 (* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(*.f64 (-.f64 (/.f64 (/.f64 wj (+.f64 #s(literal 1 binary64) wj)) x) (/.f64 (exp.f64 (neg.f64 wj)) (+.f64 #s(literal 1 binary64) wj))) x) |
(* -1 (* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(*.f64 (-.f64 (/.f64 (/.f64 wj (+.f64 #s(literal 1 binary64) wj)) x) (/.f64 (exp.f64 (neg.f64 wj)) (+.f64 #s(literal 1 binary64) wj))) x) |
(/ x (+ (exp wj) (* wj (exp wj)))) |
(/.f64 x (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) |
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(*.f64 (+.f64 (/.f64 (-.f64 wj (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) x) (/.f64 (exp.f64 (neg.f64 wj)) (+.f64 #s(literal 1 binary64) wj))) x) |
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(*.f64 (+.f64 (/.f64 (-.f64 wj (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) x) (/.f64 (exp.f64 (neg.f64 wj)) (+.f64 #s(literal 1 binary64) wj))) x) |
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(*.f64 (+.f64 (/.f64 (-.f64 wj (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) x) (/.f64 (exp.f64 (neg.f64 wj)) (+.f64 #s(literal 1 binary64) wj))) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ (* wj (exp wj)) x))))) |
(*.f64 (fma.f64 (/.f64 wj x) (exp.f64 wj) #s(literal -1 binary64)) x) |
(* -1 (* x (+ 1 (* -1 (/ (* wj (exp wj)) x))))) |
(*.f64 (fma.f64 (/.f64 wj x) (exp.f64 wj) #s(literal -1 binary64)) x) |
(* -1 (* x (+ 1 (* -1 (/ (* wj (exp wj)) x))))) |
(*.f64 (fma.f64 (/.f64 wj x) (exp.f64 wj) #s(literal -1 binary64)) x) |
| 8 180× | lower-fma.f64 |
| 8 180× | lower-fma.f32 |
| 5 914× | lower-*.f32 |
| 5 912× | lower-*.f64 |
| 4 762× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 47 |
| 0 | 14 | 44 |
| 1 | 68 | 44 |
| 2 | 629 | 44 |
| 0 | 8735 | 44 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))) |
(+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))) |
(-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) |
(-.f64 (*.f64 wj (exp.f64 wj)) x) |
(*.f64 wj (exp.f64 wj)) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 wj) wj) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) (+.f64 (pow.f64 (*.f64 (exp.f64 wj) wj) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (exp.f64 wj) wj) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 (exp.f64 wj) wj))))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 wj) wj) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) (-.f64 (pow.f64 (*.f64 (exp.f64 wj) wj) #s(literal 2 binary64)) (*.f64 x x))) (-.f64 (*.f64 (exp.f64 wj) wj) x)) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 wj) wj) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) (-.f64 (pow.f64 (*.f64 (exp.f64 wj) wj) #s(literal 4 binary64)) (pow.f64 (*.f64 x (fma.f64 (exp.f64 wj) wj x)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 (exp.f64 wj) wj) #s(literal 2 binary64)) (*.f64 x (fma.f64 (exp.f64 wj) wj x)))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 wj) wj) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) (+.f64 (pow.f64 (*.f64 (exp.f64 wj) wj) #s(literal 6 binary64)) (pow.f64 (*.f64 x (fma.f64 (exp.f64 wj) wj x)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (exp.f64 wj) wj) #s(literal 4 binary64)) (*.f64 (*.f64 x (fma.f64 (exp.f64 wj) wj x)) (-.f64 (*.f64 x (fma.f64 (exp.f64 wj) wj x)) (pow.f64 (*.f64 (exp.f64 wj) wj) #s(literal 2 binary64)))))) |
(*.f64 (/.f64 (-.f64 (*.f64 (exp.f64 wj) wj) x) (-.f64 (pow.f64 (*.f64 (exp.f64 wj) wj) #s(literal 2 binary64)) (pow.f64 (exp.f64 wj) #s(literal 2 binary64)))) (-.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj))) |
(*.f64 (/.f64 (-.f64 (*.f64 (exp.f64 wj) wj) x) (neg.f64 (-.f64 (pow.f64 (exp.f64 wj) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 wj) wj) #s(literal 2 binary64))))) (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) wj #s(literal 1 binary64)) (exp.f64 wj)))) |
(*.f64 (/.f64 (-.f64 (*.f64 (exp.f64 wj) wj) x) (neg.f64 (*.f64 (+.f64 (pow.f64 wj #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 wj) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (pow.f64 (exp.f64 wj) #s(literal 2 binary64)) (-.f64 (*.f64 wj wj) wj) (pow.f64 (exp.f64 wj) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (-.f64 (pow.f64 (exp.f64 wj) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 wj) wj) #s(literal 2 binary64)))) (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) wj #s(literal 1 binary64)) (exp.f64 wj)))) |
(*.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (*.f64 (+.f64 (pow.f64 wj #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 wj) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 (exp.f64 wj) #s(literal 2 binary64)) (-.f64 (*.f64 wj wj) wj) (pow.f64 (exp.f64 wj) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (pow.f64 (fma.f64 (exp.f64 wj) wj (exp.f64 wj)) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (exp.f64 wj) wj) #s(literal 2 binary64)) (*.f64 x x))) (pow.f64 (fma.f64 (exp.f64 wj) wj x) #s(literal -1 binary64))) |
(*.f64 (*.f64 (pow.f64 (fma.f64 (exp.f64 wj) wj (exp.f64 wj)) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (exp.f64 wj) wj) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 x (fma.f64 (exp.f64 wj) wj x) (pow.f64 (*.f64 (exp.f64 wj) wj) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (exp.f64 wj) wj) x) (-.f64 (pow.f64 (exp.f64 wj) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 wj) wj) #s(literal 2 binary64))))) (*.f64 (fma.f64 #s(literal -1 binary64) wj #s(literal 1 binary64)) (exp.f64 wj))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (exp.f64 wj) wj) x) (*.f64 (+.f64 (pow.f64 wj #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 wj) #s(literal 3 binary64))))) (fma.f64 (pow.f64 (exp.f64 wj) #s(literal 2 binary64)) (-.f64 (*.f64 wj wj) wj) (pow.f64 (exp.f64 wj) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (exp.f64 wj) wj (exp.f64 wj)) (-.f64 (*.f64 (exp.f64 wj) wj) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 (exp.f64 wj) wj (exp.f64 wj)) (-.f64 (*.f64 (exp.f64 wj) wj) x)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (-.f64 (*.f64 (exp.f64 wj) wj) x) #s(literal 1 binary64)) (pow.f64 (fma.f64 (exp.f64 wj) wj (exp.f64 wj)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 (exp.f64 wj) wj x) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) (/.f64 (-.f64 (*.f64 (exp.f64 wj) wj) x) (fma.f64 (exp.f64 wj) wj x))) |
(*.f64 (/.f64 (fma.f64 x (fma.f64 (exp.f64 wj) wj x) (pow.f64 (*.f64 (exp.f64 wj) wj) #s(literal 2 binary64))) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) (/.f64 (-.f64 (*.f64 (exp.f64 wj) wj) x) (fma.f64 x (fma.f64 (exp.f64 wj) wj x) (pow.f64 (*.f64 (exp.f64 wj) wj) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 wj) wj) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (pow.f64 (exp.f64 wj) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 wj) wj) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 (exp.f64 wj) wj x) #s(literal -1 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal -1 binary64) wj #s(literal 1 binary64)) (exp.f64 wj)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 wj) wj) #s(literal 2 binary64)) (*.f64 x x)) (*.f64 (+.f64 (pow.f64 wj #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 wj) #s(literal 3 binary64)))) (/.f64 (pow.f64 (fma.f64 (exp.f64 wj) wj x) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (exp.f64 wj) #s(literal 2 binary64)) (-.f64 (*.f64 wj wj) wj) (pow.f64 (exp.f64 wj) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 wj) wj) #s(literal 2 binary64)) (*.f64 x x)) (exp.f64 wj)) (/.f64 (pow.f64 (fma.f64 (exp.f64 wj) wj x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) wj))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 wj) wj) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (exp.f64 wj) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 wj) wj) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 x (fma.f64 (exp.f64 wj) wj x) (pow.f64 (*.f64 (exp.f64 wj) wj) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal -1 binary64) wj #s(literal 1 binary64)) (exp.f64 wj)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 wj) wj) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (+.f64 (pow.f64 wj #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 wj) #s(literal 3 binary64)))) (/.f64 (pow.f64 (fma.f64 x (fma.f64 (exp.f64 wj) wj x) (pow.f64 (*.f64 (exp.f64 wj) wj) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (exp.f64 wj) #s(literal 2 binary64)) (-.f64 (*.f64 wj wj) wj) (pow.f64 (exp.f64 wj) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 wj) wj) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (exp.f64 wj)) (/.f64 (pow.f64 (fma.f64 x (fma.f64 (exp.f64 wj) wj x) (pow.f64 (*.f64 (exp.f64 wj) wj) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) wj))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 wj) wj) #s(literal 2 binary64)) (*.f64 x x)) (+.f64 #s(literal 1 binary64) wj)) (/.f64 (pow.f64 (fma.f64 (exp.f64 wj) wj x) #s(literal -1 binary64)) (exp.f64 wj))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 wj) wj) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) wj)) (/.f64 (pow.f64 (fma.f64 x (fma.f64 (exp.f64 wj) wj x) (pow.f64 (*.f64 (exp.f64 wj) wj) #s(literal 2 binary64))) #s(literal -1 binary64)) (exp.f64 wj))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) wj)) (/.f64 (-.f64 (*.f64 (exp.f64 wj) wj) x) (neg.f64 (exp.f64 wj)))) |
(*.f64 (/.f64 (-.f64 (*.f64 (exp.f64 wj) wj) x) (exp.f64 wj)) (pow.f64 (+.f64 #s(literal 1 binary64) wj) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (exp.f64 wj) wj (exp.f64 wj)) (-.f64 (pow.f64 (*.f64 (exp.f64 wj) wj) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (exp.f64 wj) wj x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (exp.f64 wj) wj (exp.f64 wj)) (-.f64 (pow.f64 (*.f64 (exp.f64 wj) wj) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x (fma.f64 (exp.f64 wj) wj x) (pow.f64 (*.f64 (exp.f64 wj) wj) #s(literal 2 binary64))) #s(literal -1 binary64))) |
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(-.f64 #s(literal 0 binary64) (-.f64 x (*.f64 (exp.f64 wj) wj))) |
(-.f64 (*.f64 (exp.f64 wj) wj) x) |
(+.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (*.f64 (exp.f64 wj) wj) #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 (exp.f64 wj) wj) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 wj) wj))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 wj) wj)) (*.f64 #s(literal 1 binary64) (neg.f64 x))) |
(+.f64 (neg.f64 (*.f64 (neg.f64 wj) (exp.f64 wj))) (neg.f64 x)) |
(+.f64 (/.f64 (pow.f64 (*.f64 (exp.f64 wj) wj) #s(literal 2 binary64)) (fma.f64 (exp.f64 wj) wj x)) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (exp.f64 wj) wj x)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (exp.f64 wj) wj) #s(literal 3 binary64)) (fma.f64 x (fma.f64 (exp.f64 wj) wj x) (pow.f64 (*.f64 (exp.f64 wj) wj) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 (exp.f64 wj) wj x) (pow.f64 (*.f64 (exp.f64 wj) wj) #s(literal 2 binary64)))))) |
(+.f64 (neg.f64 x) (*.f64 (exp.f64 wj) wj)) |
(+.f64 (*.f64 (exp.f64 wj) wj) (neg.f64 x)) |
(*.f64 (exp.f64 wj) wj) |
(*.f64 wj (exp.f64 wj)) |
Compiled 22 317 to 2 065 computations (90.7% saved)
16 alts after pruning (16 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 656 | 16 | 672 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 657 | 16 | 673 |
| Status | Accuracy | Program |
|---|---|---|
| 75.6% | (fma.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (*.f64 (+.f64 (pow.f64 wj #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 wj) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (exp.f64 wj) #s(literal 2 binary64)) (-.f64 (*.f64 wj wj) wj) (pow.f64 (exp.f64 wj) #s(literal 2 binary64))) wj) | |
| 75.6% | (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) (-.f64 (*.f64 (exp.f64 wj) wj) x) wj) | |
| 51.6% | (fma.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 wj) wj) #s(literal 2 binary64)) (*.f64 x x)) (*.f64 (pow.f64 (fma.f64 (exp.f64 wj) wj x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))) wj) | |
| ▶ | 51.7% | (/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) #s(literal 2 binary64)) (*.f64 wj wj)) (-.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) wj)) |
| 77.2% | (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (/.f64 (*.f64 (fma.f64 wj wj #s(literal -1 binary64)) (exp.f64 wj)) (-.f64 wj #s(literal 1 binary64))))) | |
| 73.8% | (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) #s(approx (+ (exp wj) (* wj (exp wj))) (fma.f64 #s(literal 2 binary64) wj #s(literal 1 binary64))))) | |
| ▶ | 72.7% | (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) wj (neg.f64 x)))) |
| 73.9% | (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (neg.f64 (exp.f64 wj))))) | |
| 7.2% | (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))) | |
| 70.8% | (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x))) | |
| ▶ | 4.5% | (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64))) |
| 36.3% | (*.f64 (/.f64 (-.f64 (*.f64 wj wj) (pow.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) #s(literal 2 binary64))) (+.f64 (pow.f64 wj #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 (exp.f64 wj) wj (exp.f64 wj)) (-.f64 (*.f64 (exp.f64 wj) wj) x)) #s(literal -3 binary64)))) (fma.f64 wj wj (*.f64 (/.f64 (-.f64 (*.f64 (exp.f64 wj) wj) x) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) (-.f64 (/.f64 (-.f64 (*.f64 (exp.f64 wj) wj) x) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) wj)))) | |
| ▶ | 95.2% | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj x)) |
| 94.6% | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x)) | |
| 80.4% | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (*.f64 wj x) #s(literal -2 binary64) x)) | |
| ▶ | 81.1% | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))) |
Compiled 620 to 354 computations (42.9% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) #s(literal 2 binary64)) | |
| cost-diff | 0 | (-.f64 (pow.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) #s(literal 2 binary64)) (*.f64 wj wj)) | |
| cost-diff | 12608 | (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) | |
| cost-diff | 15872 | (/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) #s(literal 2 binary64)) (*.f64 wj wj)) (-.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) wj)) | |
| cost-diff | 0 | (exp.f64 wj) | |
| cost-diff | 0 | (fma.f64 (exp.f64 wj) wj (exp.f64 wj)) | |
| cost-diff | 0 | (/.f64 x (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) | |
| cost-diff | 0 | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))) | |
| cost-diff | 0 | (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) wj (neg.f64 x))) | |
| cost-diff | 0 | (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) wj (neg.f64 x)))) | |
| cost-diff | 128 | (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) wj (neg.f64 x)) | |
| cost-diff | 0 | #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj x) | |
| cost-diff | 0 | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj x)) | |
| cost-diff | 128 | (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj)) | |
| cost-diff | 384 | (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) |
| 9 926× | lower-fma.f32 |
| 9 912× | lower-fma.f64 |
| 3 448× | lower-*.f32 |
| 3 440× | lower-*.f64 |
| 2 184× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 401 |
| 0 | 70 | 395 |
| 1 | 135 | 381 |
| 2 | 283 | 381 |
| 3 | 965 | 330 |
| 4 | 3638 | 324 |
| 0 | 8208 | 313 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj x) |
(fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (*.f64 #s(literal -2 binary64) x)) |
(fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) |
#s(literal 5/2 binary64) |
x |
(-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj)) |
#s(literal 1 binary64) |
(*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj) |
(fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) |
#s(literal 2/3 binary64) |
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) |
#s(literal 2 binary64) |
wj |
(*.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64))) |
wj |
#s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) wj (neg.f64 x)))) |
wj |
#s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) wj (neg.f64 x))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) wj (neg.f64 x)) |
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) |
#s(literal 2 binary64) |
x |
#s(literal 1 binary64) |
(neg.f64 x) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))) |
(/.f64 x (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) |
x |
(fma.f64 (exp.f64 wj) wj (exp.f64 wj)) |
(exp.f64 wj) |
wj |
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) #s(literal 2 binary64)) (*.f64 wj wj)) (-.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) wj)) |
(-.f64 (pow.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) #s(literal 2 binary64)) (*.f64 wj wj)) |
(pow.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) #s(literal 2 binary64)) |
(/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) |
(-.f64 x (*.f64 (exp.f64 wj) wj)) |
x |
(*.f64 (exp.f64 wj) wj) |
(exp.f64 wj) |
wj |
(fma.f64 (exp.f64 wj) wj (exp.f64 wj)) |
#s(literal 2 binary64) |
(*.f64 wj wj) |
(-.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) wj) |
| Outputs |
|---|
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj x)) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8/3 binary64) x #s(literal -1 binary64)) wj (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64))) wj (*.f64 #s(literal -2 binary64) x)) wj x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj x) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8/3 binary64) x #s(literal -1 binary64)) wj (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64))) wj (*.f64 #s(literal -2 binary64) x)) wj x) |
(fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (*.f64 #s(literal -2 binary64) x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -8/3 binary64) x #s(literal -1 binary64)) wj (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64))) wj (*.f64 #s(literal -2 binary64) x)) |
(fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) |
(fma.f64 (fma.f64 #s(literal -8/3 binary64) x #s(literal -1 binary64)) wj (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64))) |
#s(literal 5/2 binary64) |
x |
(-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj)) |
(fma.f64 (fma.f64 #s(literal -8/3 binary64) x #s(literal -1 binary64)) wj #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj) |
(*.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)) wj) |
(fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) |
(fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)) |
#s(literal 2/3 binary64) |
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) |
#s(literal 2 binary64) |
wj |
(*.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64))) |
wj |
#s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) wj (neg.f64 x)))) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (fma.f64 x (fma.f64 #s(literal 2 binary64) wj #s(literal -1 binary64)) wj))) |
wj |
#s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) wj (neg.f64 x))) |
#s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (fma.f64 x (fma.f64 #s(literal 2 binary64) wj #s(literal -1 binary64)) wj)) |
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) wj (neg.f64 x)) |
(fma.f64 x (fma.f64 #s(literal 2 binary64) wj #s(literal -1 binary64)) wj) |
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) |
#s(literal 2 binary64) |
x |
#s(literal 1 binary64) |
(neg.f64 x) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))) |
(/.f64 x (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) |
x |
(fma.f64 (exp.f64 wj) wj (exp.f64 wj)) |
(exp.f64 wj) |
wj |
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) #s(literal 2 binary64)) (*.f64 wj wj)) (-.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) wj)) |
(-.f64 wj (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 #s(literal 1 binary64) wj))) |
(-.f64 (pow.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) #s(literal 2 binary64)) (*.f64 wj wj)) |
(fma.f64 (neg.f64 wj) wj (pow.f64 (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (-.f64 #s(literal -1 binary64) wj)) #s(literal 2 binary64))) |
(pow.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (-.f64 #s(literal -1 binary64) wj)) #s(literal 2 binary64)) |
(/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) |
(/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (-.f64 #s(literal -1 binary64) wj)) |
(-.f64 x (*.f64 (exp.f64 wj) wj)) |
x |
(*.f64 (exp.f64 wj) wj) |
(exp.f64 wj) |
wj |
(fma.f64 (exp.f64 wj) wj (exp.f64 wj)) |
#s(literal 2 binary64) |
(*.f64 wj wj) |
(-.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) wj) |
(-.f64 (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (-.f64 #s(literal -1 binary64) wj)) wj) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.041347509768442016 | (pow.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) #s(literal 2 binary64)) | |
| accuracy | 1.0091290273923565 | (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) | |
| accuracy | 8.518005279708266 | (-.f64 (pow.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) #s(literal 2 binary64)) (*.f64 wj wj)) | |
| accuracy | 21.294202676562325 | (/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) #s(literal 2 binary64)) (*.f64 wj wj)) (-.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) wj)) | |
| accuracy | 0 | (exp.f64 wj) | |
| accuracy | 0.0078125 | (/.f64 x (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) | |
| accuracy | 0.01953125 | (fma.f64 (exp.f64 wj) wj (exp.f64 wj)) | |
| accuracy | 11.093125377676827 | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))) | |
| accuracy | 0 | (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 3.5816316302622986 | #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) wj (neg.f64 x))) | |
| accuracy | 13.596065602757193 | (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) wj (neg.f64 x)))) | |
| accuracy | 13.596065602757193 | (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64))) | |
| accuracy | 61.181148010717635 | #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64)) | |
| accuracy | 0.0078125 | (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) | |
| accuracy | 0.01171875 | (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj x) | |
| accuracy | 0.1015625 | (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj) | |
| accuracy | 3.0837640937944184 | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj x)) |
| 53.0ms | 181× | 0 | valid |
| 42.0ms | 71× | 1 | valid |
| 4.0ms | 4× | 2 | valid |
Compiled 380 to 41 computations (89.2% saved)
ival-mult: 20.0ms (27.2% of total)ival-add: 11.0ms (15% of total)ival-div: 10.0ms (13.6% of total)ival-sub: 10.0ms (13.6% of total)adjust: 7.0ms (9.5% of total)ival-exp: 6.0ms (8.2% of total)const: 4.0ms (5.4% of total)ival-pow2: 3.0ms (4.1% of total)exact: 1.0ms (1.4% of total)ival-neg: 1.0ms (1.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) (patch (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj)) #<representation binary64>) () ()) |
#s(alt #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj x)) (patch #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj x) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj x) #<representation binary64>) () ()) |
#s(alt (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64))) (patch (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64)) (patch #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) wj (neg.f64 x)) (patch (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) wj (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) wj (neg.f64 x)))) (patch (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) wj (neg.f64 x)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) wj (neg.f64 x))) (patch #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) wj (neg.f64 x))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (patch (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))) (patch #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))) #<representation binary64>) () ()) |
#s(alt (/.f64 x (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) (patch (/.f64 x (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (exp.f64 wj) wj (exp.f64 wj)) (patch (fma.f64 (exp.f64 wj) wj (exp.f64 wj)) #<representation binary64>) () ()) |
#s(alt (exp.f64 wj) (patch (exp.f64 wj) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) #s(literal 2 binary64)) (*.f64 wj wj)) (-.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) wj)) (patch (/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) #s(literal 2 binary64)) (*.f64 wj wj)) (-.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) wj)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) (patch (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) #<representation binary64>) () ()) |
#s(alt (-.f64 (pow.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) #s(literal 2 binary64)) (*.f64 wj wj)) (patch (-.f64 (pow.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) #s(literal 2 binary64)) (*.f64 wj wj)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj) (patch (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) (patch (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1 (taylor 0 wj) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* wj (+ 1 (+ (* 2/3 x) (* 2 x)))))) (taylor 0 wj) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* wj (+ 1 (+ (* 2/3 x) (* 2 x)))))) (taylor 0 wj) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (* wj (+ 1 (+ (* 2/3 x) (* 2 x)))))) (taylor 0 wj) (#s(alt (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj)) (patch (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 wj) (#s(alt #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj x)) (patch #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -2 (* wj x))) (taylor 0 wj) (#s(alt #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj x)) (patch #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* wj (- (* wj (- 1 (+ (* -4 x) (* 3/2 x)))) (* 2 x)))) (taylor 0 wj) (#s(alt #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj x)) (patch #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* wj (- (* wj (- (+ 1 (* -1 (* wj (+ 1 (+ (* -3 x) (+ (* -2 (+ (* -4 x) (* 3/2 x))) (* 2/3 x))))))) (+ (* -4 x) (* 3/2 x)))) (* 2 x)))) (taylor 0 wj) (#s(alt #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj x)) (patch #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 wj) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj x) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -2 (* wj x))) (taylor 0 wj) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj x) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* wj (+ (* -2 x) (* wj (+ 1 (* 5/2 x)))))) (taylor 0 wj) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj x) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* wj (+ (* -2 x) (* wj (+ 1 (+ (* -1 (* wj (+ 1 (+ (* 2/3 x) (* 2 x))))) (* 5/2 x))))))) (taylor 0 wj) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj x) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj x) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | x | @ | -inf | ((+ (* 2/3 x) (+ (* 2 x) 1)) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj)) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (+ (* (+ (* 2 x) 1) wj) (neg x)) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (+ (* 2 x) 1) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ x (+ (* (exp wj) wj) (exp wj))) (+ (* (exp wj) wj) (exp wj)) (exp wj) (/ (- (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* wj wj)) (- (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) wj)) (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) (- (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* wj wj)) (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj) (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (neg x)) |
| 7.0ms | wj | @ | -inf | ((+ (* 2/3 x) (+ (* 2 x) 1)) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj)) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (+ (* (+ (* 2 x) 1) wj) (neg x)) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (+ (* 2 x) 1) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ x (+ (* (exp wj) wj) (exp wj))) (+ (* (exp wj) wj) (exp wj)) (exp wj) (/ (- (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* wj wj)) (- (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) wj)) (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) (- (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* wj wj)) (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj) (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (neg x)) |
| 7.0ms | x | @ | 0 | ((+ (* 2/3 x) (+ (* 2 x) 1)) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj)) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (+ (* (+ (* 2 x) 1) wj) (neg x)) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (+ (* 2 x) 1) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ x (+ (* (exp wj) wj) (exp wj))) (+ (* (exp wj) wj) (exp wj)) (exp wj) (/ (- (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* wj wj)) (- (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) wj)) (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) (- (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* wj wj)) (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj) (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (neg x)) |
| 6.0ms | wj | @ | 0 | ((+ (* 2/3 x) (+ (* 2 x) 1)) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj)) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (+ (* (+ (* 2 x) 1) wj) (neg x)) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (+ (* 2 x) 1) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ x (+ (* (exp wj) wj) (exp wj))) (+ (* (exp wj) wj) (exp wj)) (exp wj) (/ (- (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* wj wj)) (- (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) wj)) (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) (- (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* wj wj)) (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj) (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (neg x)) |
| 5.0ms | x | @ | inf | ((+ (* 2/3 x) (+ (* 2 x) 1)) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj)) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (+ (* (+ (* 2 x) 1) wj) (neg x)) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (+ (* 2 x) 1) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ x (+ (* (exp wj) wj) (exp wj))) (+ (* (exp wj) wj) (exp wj)) (exp wj) (/ (- (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* wj wj)) (- (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) wj)) (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) (- (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* wj wj)) (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj) (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (neg x)) |
| 1× | egg-herbie |
| 8 478× | lower-fma.f64 |
| 8 478× | lower-fma.f32 |
| 6 298× | lower-+.f64 |
| 6 298× | lower-+.f32 |
| 5 074× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 818 | 9067 |
| 1 | 2713 | 8561 |
| 0 | 8502 | 8114 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* -1 (* wj (+ 1 (+ (* 2/3 x) (* 2 x)))))) |
(+ 1 (* -1 (* wj (+ 1 (+ (* 2/3 x) (* 2 x)))))) |
(+ 1 (* -1 (* wj (+ 1 (+ (* 2/3 x) (* 2 x)))))) |
x |
(+ x (* -2 (* wj x))) |
(+ x (* wj (- (* wj (- 1 (+ (* -4 x) (* 3/2 x)))) (* 2 x)))) |
(+ x (* wj (- (* wj (- (+ 1 (* -1 (* wj (+ 1 (+ (* -3 x) (+ (* -2 (+ (* -4 x) (* 3/2 x))) (* 2/3 x))))))) (+ (* -4 x) (* 3/2 x)))) (* 2 x)))) |
x |
(+ x (* -2 (* wj x))) |
(+ x (* wj (+ (* -2 x) (* wj (+ 1 (* 5/2 x)))))) |
(+ x (* wj (+ (* -2 x) (* wj (+ 1 (+ (* -1 (* wj (+ 1 (+ (* 2/3 x) (* 2 x))))) (* 5/2 x))))))) |
x |
(+ x (* -2 (* wj x))) |
(+ x (* wj (- (* wj (- 1 (+ (* -4 x) (* 3/2 x)))) (* 2 x)))) |
(+ x (* wj (- (* wj (- (+ 1 (* -1 (* wj (+ 1 (+ (* -3 x) (+ (* -2 (+ (* -4 x) (* 3/2 x))) (* 2/3 x))))))) (+ (* -4 x) (* 3/2 x)))) (* 2 x)))) |
(* -1 x) |
(+ (* -1 x) (* wj (- 1 (* -2 x)))) |
(+ (* -1 x) (* wj (- (+ 1 (* wj (- 1 (+ (* -3/2 x) (* 2 (- 1 (* -2 x))))))) (* -2 x)))) |
(+ (* -1 x) (* wj (- (+ 1 (* wj (- (+ 1 (* wj (- 1/2 (+ (* -2/3 x) (+ (* 3/2 (- 1 (* -2 x))) (* 2 (- 1 (+ (* -3/2 x) (* 2 (- 1 (* -2 x))))))))))) (+ (* -3/2 x) (* 2 (- 1 (* -2 x))))))) (* -2 x)))) |
(* -1 x) |
(- (* wj (+ 1 (* 2 x))) x) |
(- (* wj (+ 1 (* 2 x))) x) |
(- (* wj (+ 1 (* 2 x))) x) |
x |
(+ x (* -2 (* wj x))) |
(+ x (* wj (- (* wj (- 1 (+ (* -4 x) (* 3/2 x)))) (* 2 x)))) |
(+ x (* wj (- (* wj (- (+ 1 (* -1 (* wj (+ 1 (+ (* -3 x) (+ (* -2 (+ (* -4 x) (* 3/2 x))) (* 2/3 x))))))) (+ (* -4 x) (* 3/2 x)))) (* 2 x)))) |
(* -1 x) |
(+ (* -1 x) (* wj (- 1 (* -2 x)))) |
(+ (* -1 x) (* wj (- (+ 1 (* wj (- 1 (+ (* -3/2 x) (* 2 (- 1 (* -2 x))))))) (* -2 x)))) |
(+ (* -1 x) (* wj (- (+ 1 (* wj (- (+ 1 (* wj (- 1/2 (+ (* -2/3 x) (+ (* 3/2 (- 1 (* -2 x))) (* 2 (- 1 (+ (* -3/2 x) (* 2 (- 1 (* -2 x))))))))))) (+ (* -3/2 x) (* 2 (- 1 (* -2 x))))))) (* -2 x)))) |
x |
(+ x (* -2 (* wj x))) |
(+ x (* wj (- (* wj (- 1 (+ (* -4 x) (* 3/2 x)))) (* 2 x)))) |
(+ x (* wj (- (* wj (- (+ 1 (* -1 (* wj (+ 1 (+ (* -3 x) (+ (* -2 (+ (* -4 x) (* 3/2 x))) (* 2/3 x))))))) (+ (* -4 x) (* 3/2 x)))) (* 2 x)))) |
x |
(+ x (* -2 (* wj x))) |
(+ x (* wj (- (* -1 (* wj (+ (* -4 x) (* 3/2 x)))) (* 2 x)))) |
(+ x (* wj (- (* wj (- (* -1 (* wj (+ (* -3 x) (+ (* -2 (+ (* -4 x) (* 3/2 x))) (* 2/3 x))))) (+ (* -4 x) (* 3/2 x)))) (* 2 x)))) |
1 |
(+ 1 (* 2 wj)) |
(+ 1 (* wj (+ 2 (* 3/2 wj)))) |
(+ 1 (* wj (+ 2 (* wj (+ 3/2 (* 2/3 wj)))))) |
1 |
(+ 1 wj) |
(+ 1 (* wj (+ 1 (* 1/2 wj)))) |
(+ 1 (* wj (+ 1 (* wj (+ 1/2 (* 1/6 wj)))))) |
x |
(+ x (* -1 (* wj (+ 2 (+ (* -1 (+ 2 (* 2 x))) (* 4 x)))))) |
(+ x (* wj (- (* wj (- (+ (* -4 x) (* 3/2 x)) (+ 3 (+ (* 4 (/ (- (* -2 x) (* 4 (pow x 2))) x)) (+ (* 7 x) (/ (* (+ 2 (* 2 x)) (+ 2 (+ (* -1 (+ 2 (* 2 x))) (* 4 x)))) x)))))) (+ 2 (+ (* -1 (+ 2 (* 2 x))) (* 4 x)))))) |
(+ x (* wj (- (* wj (- (+ (* -4 x) (+ (* 3/2 x) (* wj (- (* 2 (/ 1 x)) (+ 1 (+ (* -1 (+ 1 (+ (* -3 x) (+ (* -2 (+ (* -4 x) (* 3/2 x))) (* 2/3 x))))) (+ (* -1 (/ (* (+ 2 (* 2 x)) (- (+ (* -4 x) (* 3/2 x)) (+ 3 (+ (* 4 (/ (- (* -2 x) (* 4 (pow x 2))) x)) (+ (* 7 x) (/ (* (+ 2 (* 2 x)) (+ 2 (+ (* -1 (+ 2 (* 2 x))) (* 4 x)))) x)))))) x)) (+ (* -1 (/ (* (+ 2 (+ (* -1 (+ 2 (* 2 x))) (* 4 x))) (- 1 (+ (* -4 x) (* 3/2 x)))) x)) (+ (* 4 (/ (- (+ 1 (* -2 x)) (+ (* 4 (- (* -2 x) (* 4 (pow x 2)))) (* 7 (pow x 2)))) x)) (+ (* 7 (/ (- (* -2 x) (* 4 (pow x 2))) x)) (* 22/3 x))))))))))) (+ 3 (+ (* 4 (/ (- (* -2 x) (* 4 (pow x 2))) x)) (+ (* 7 x) (/ (* (+ 2 (* 2 x)) (+ 2 (+ (* -1 (+ 2 (* 2 x))) (* 4 x)))) x)))))) (+ 2 (+ (* -1 (+ 2 (* 2 x))) (* 4 x)))))) |
x |
(+ x (* -1 (* wj (+ 1 (* 2 x))))) |
(+ x (* wj (- (* -1 (* wj (+ 1 (+ (* -2 (+ 1 (* 2 x))) (* 3/2 x))))) (+ 1 (* 2 x))))) |
(+ x (* wj (- (* wj (- (* -1 (* wj (+ 1/2 (+ (* -2 (+ 1 (+ (* -2 (+ 1 (* 2 x))) (* 3/2 x)))) (+ (* -3/2 (+ 1 (* 2 x))) (* 2/3 x)))))) (+ 1 (+ (* -2 (+ 1 (* 2 x))) (* 3/2 x))))) (+ 1 (* 2 x))))) |
(pow x 2) |
(+ (* wj (- (* -2 x) (* 4 (pow x 2)))) (pow x 2)) |
(+ (* wj (- (+ (* -2 x) (* wj (- (* -2 x) (+ (* 4 (- (* -2 x) (* 4 (pow x 2)))) (* 7 (pow x 2)))))) (* 4 (pow x 2)))) (pow x 2)) |
(+ (* wj (- (+ (* -2 x) (* wj (- (+ (* -2 x) (* wj (- (+ 2 (* -1 x)) (+ (* 4 (- (+ 1 (* -2 x)) (+ (* 4 (- (* -2 x) (* 4 (pow x 2)))) (* 7 (pow x 2))))) (+ (* 7 (- (* -2 x) (* 4 (pow x 2)))) (* 22/3 (pow x 2))))))) (+ (* 4 (- (* -2 x) (* 4 (pow x 2)))) (* 7 (pow x 2)))))) (* 4 (pow x 2)))) (pow x 2)) |
(pow x 2) |
(+ (* wj (- (* -2 x) (* 4 (pow x 2)))) (pow x 2)) |
(+ (* wj (- (+ (* -2 x) (* wj (- (+ 1 (* -2 x)) (+ (* 4 (- (* -2 x) (* 4 (pow x 2)))) (* 7 (pow x 2)))))) (* 4 (pow x 2)))) (pow x 2)) |
(+ (* wj (- (+ (* -2 x) (* wj (- (+ 1 (+ (* -2 x) (* wj (- (+ 2 (* -1 x)) (+ (* 4 (- (+ 1 (* -2 x)) (+ (* 4 (- (* -2 x) (* 4 (pow x 2)))) (* 7 (pow x 2))))) (+ (* 7 (- (* -2 x) (* 4 (pow x 2)))) (* 22/3 (pow x 2)))))))) (+ (* 4 (- (* -2 x) (* 4 (pow x 2)))) (* 7 (pow x 2)))))) (* 4 (pow x 2)))) (pow x 2)) |
(* wj (+ 1 (+ (* 2/3 x) (* 2 x)))) |
(* wj (+ 1 (+ (* 2/3 x) (* 2 x)))) |
(* wj (+ 1 (+ (* 2/3 x) (* 2 x)))) |
(* wj (+ 1 (+ (* 2/3 x) (* 2 x)))) |
(+ 1 (* 5/2 x)) |
(+ 1 (+ (* -1 (* wj (+ 1 (+ (* 2/3 x) (* 2 x))))) (* 5/2 x))) |
(+ 1 (+ (* -1 (* wj (+ 1 (+ (* 2/3 x) (* 2 x))))) (* 5/2 x))) |
(+ 1 (+ (* -1 (* wj (+ 1 (+ (* 2/3 x) (* 2 x))))) (* 5/2 x))) |
(* -1 (* wj (+ 1 (+ (* 2/3 x) (* 2 x))))) |
(* wj (- (/ 1 wj) (+ 1 (+ (* 2/3 x) (* 2 x))))) |
(* wj (- (/ 1 wj) (+ 1 (+ (* 2/3 x) (* 2 x))))) |
(* wj (- (/ 1 wj) (+ 1 (+ (* 2/3 x) (* 2 x))))) |
wj |
(* wj (- 1 (/ 1 wj))) |
(* wj (- (+ 1 (+ (/ 1 (pow wj 2)) (/ x (* (pow wj 2) (exp wj))))) (/ 1 wj))) |
(* wj (- (+ 1 (+ (* -1 (/ (+ 1 (/ x (exp wj))) (pow wj 3))) (+ (/ 1 (pow wj 2)) (/ x (* (pow wj 2) (exp wj)))))) (/ 1 wj))) |
(* -1 (* (pow wj 3) (+ 1 (+ (* 2/3 x) (* 2 x))))) |
(* (pow wj 3) (- (+ (* 5/2 (/ x wj)) (/ 1 wj)) (+ 1 (+ (* 2/3 x) (* 2 x))))) |
(* (pow wj 3) (- (+ (* -2 (/ x (pow wj 2))) (+ (* 5/2 (/ x wj)) (/ 1 wj))) (+ 1 (+ (* 2/3 x) (* 2 x))))) |
(* (pow wj 3) (- (+ (* -2 (/ x (pow wj 2))) (+ (* 5/2 (/ x wj)) (+ (/ 1 wj) (/ x (pow wj 3))))) (+ 1 (+ (* 2/3 x) (* 2 x))))) |
wj |
(* wj (- 1 (/ 1 wj))) |
(* wj (- (+ 1 (+ (/ 1 (pow wj 2)) (/ x (* (pow wj 2) (exp wj))))) (/ 1 wj))) |
(* wj (- (+ 1 (+ (* -1 (/ (+ 1 (/ x (exp wj))) (pow wj 3))) (+ (/ 1 (pow wj 2)) (/ x (* (pow wj 2) (exp wj)))))) (/ 1 wj))) |
1 |
(- (+ 1 (* -1 (/ x (* wj (exp wj))))) (/ 1 wj)) |
(- (+ 1 (+ (* -1 (/ x (* wj (exp wj)))) (/ 1 (pow wj 2)))) (+ (* -1 (/ x (* (pow wj 2) (exp wj)))) (/ 1 wj))) |
(- (+ 1 (+ (* -1 (/ x (* wj (exp wj)))) (+ (* -1 (/ x (* (pow wj 3) (exp wj)))) (/ 1 (pow wj 2))))) (+ (* -1 (/ x (* (pow wj 2) (exp wj)))) (+ (/ 1 wj) (/ 1 (pow wj 3))))) |
(* wj (+ 1 (* 2 x))) |
(* wj (+ 1 (+ (* -1 (/ x wj)) (* 2 x)))) |
(* wj (+ 1 (+ (* -1 (/ x wj)) (* 2 x)))) |
(* wj (+ 1 (+ (* -1 (/ x wj)) (* 2 x)))) |
wj |
(* wj (- 1 (/ 1 wj))) |
(* wj (- (+ 1 (+ (/ 1 (pow wj 2)) (/ x (* (pow wj 2) (exp wj))))) (/ 1 wj))) |
(* wj (- (+ 1 (+ (* -1 (/ (+ 1 (/ x (exp wj))) (pow wj 3))) (+ (/ 1 (pow wj 2)) (/ x (* (pow wj 2) (exp wj)))))) (/ 1 wj))) |
1 |
(- (+ 1 (* -1 (/ x (* wj (exp wj))))) (/ 1 wj)) |
(- (+ 1 (+ (* -1 (/ x (* wj (exp wj)))) (/ 1 (pow wj 2)))) (+ (* -1 (/ x (* (pow wj 2) (exp wj)))) (/ 1 wj))) |
(- (+ 1 (+ (* -1 (/ x (* wj (exp wj)))) (+ (* -1 (/ x (* (pow wj 3) (exp wj)))) (/ 1 (pow wj 2))))) (+ (* -1 (/ x (* (pow wj 2) (exp wj)))) (+ (/ 1 wj) (/ 1 (pow wj 3))))) |
wj |
(* wj (- 1 (/ 1 wj))) |
(* wj (- (+ 1 (+ (/ 1 (pow wj 2)) (/ x (* (pow wj 2) (exp wj))))) (/ 1 wj))) |
(* wj (- (+ 1 (+ (* -1 (/ (+ 1 (/ x (exp wj))) (pow wj 3))) (+ (/ 1 (pow wj 2)) (/ x (* (pow wj 2) (exp wj)))))) (/ 1 wj))) |
(/ x (* wj (exp wj))) |
(/ (+ (* -1 (/ x (* wj (exp wj)))) (/ x (exp wj))) wj) |
(/ (- (+ (/ x (exp wj)) (/ x (* (pow wj 2) (exp wj)))) (/ x (* wj (exp wj)))) wj) |
(/ (- (+ (* -1 (/ x (* (pow wj 3) (exp wj)))) (/ x (exp wj))) (+ (* -1 (/ x (* (pow wj 2) (exp wj)))) (/ x (* wj (exp wj))))) wj) |
(* wj (exp wj)) |
(* wj (+ (exp wj) (/ (exp wj) wj))) |
(* wj (+ (exp wj) (/ (exp wj) wj))) |
(* wj (+ (exp wj) (/ (exp wj) wj))) |
(exp wj) |
(exp wj) |
(exp wj) |
(exp wj) |
wj |
(* wj (- 1 (/ 1 wj))) |
(* wj (- (+ 1 (+ (/ 1 (pow wj 2)) (/ x (* (pow wj 2) (exp wj))))) (/ 1 wj))) |
(* wj (- (+ 1 (* -1 (/ (- (* -2 (/ x (exp wj))) 2) (pow wj 3)))) (+ (* -1 (/ (+ 1 (/ x (exp wj))) (pow wj 2))) (+ (* 3 (/ x (* (pow wj 3) (exp wj)))) (+ (/ 1 wj) (* 3 (/ 1 (pow wj 3)))))))) |
-1 |
(- (+ (/ 1 wj) (/ x (* wj (exp wj)))) 1) |
(- (+ (* -1 (/ (+ 1 (/ x (exp wj))) (pow wj 2))) (+ (/ 1 wj) (/ x (* wj (exp wj))))) 1) |
(- (+ (/ 1 wj) (+ (/ 1 (pow wj 3)) (+ (/ x (* wj (exp wj))) (/ x (* (pow wj 3) (exp wj)))))) (+ 1 (+ (/ 1 (pow wj 2)) (/ x (* (pow wj 2) (exp wj)))))) |
(* -1 (pow wj 2)) |
(* (pow wj 2) (- (/ 1 (pow wj 2)) 1)) |
(* (pow wj 2) (- (+ (* -2 (/ x (* (pow wj 3) (exp wj)))) (/ 1 (pow wj 2))) (+ 1 (/ 2 (pow wj 3))))) |
(* (pow wj 2) (- (+ (* -2 (/ x (* (pow wj 3) (exp wj)))) (+ (/ 1 (pow wj 2)) (/ (pow x 2) (* (pow wj 4) (pow (exp wj) 2))))) (+ 1 (+ (* 2 (/ (- (* -2 (/ x (exp wj))) 2) (pow wj 4))) (+ (/ 1 (pow wj 4)) (/ 2 (pow wj 3))))))) |
1 |
(- (+ 1 (* -2 (/ x (* wj (exp wj))))) (* 2 (/ 1 wj))) |
(- (+ 1 (+ (* -2 (/ x (* wj (exp wj)))) (/ (pow x 2) (* (pow wj 2) (pow (exp wj) 2))))) (+ (* 2 (/ (- (* -2 (/ x (exp wj))) 2) (pow wj 2))) (+ (* 2 (/ 1 wj)) (/ 1 (pow wj 2))))) |
(- (+ 1 (+ (* -2 (/ x (* wj (exp wj)))) (+ (* 2 (/ 1 (pow wj 3))) (/ (pow x 2) (* (pow wj 2) (pow (exp wj) 2)))))) (+ (* -2 (/ x (* (pow wj 3) (exp wj)))) (+ (* 2 (/ (- (* -2 (/ x (exp wj))) 2) (pow wj 2))) (+ (* 2 (/ (- (/ (pow x 2) (pow (exp wj) 2)) (+ 1 (* 2 (- (* -2 (/ x (exp wj))) 2)))) (pow wj 3))) (+ (* 2 (/ 1 wj)) (/ 1 (pow wj 2))))))) |
(* wj (+ 1 (+ (* 2/3 x) (* 2 x)))) |
(* wj (+ 1 (+ (* 2/3 x) (* 2 x)))) |
(* wj (+ 1 (+ (* 2/3 x) (* 2 x)))) |
(* wj (+ 1 (+ (* 2/3 x) (* 2 x)))) |
(* -1 (* wj (+ 1 (+ (* 2/3 x) (* 2 x))))) |
(* wj (- (+ (* 5/2 (/ x wj)) (/ 1 wj)) (+ 1 (+ (* 2/3 x) (* 2 x))))) |
(* wj (- (+ (* 5/2 (/ x wj)) (/ 1 wj)) (+ 1 (+ (* 2/3 x) (* 2 x))))) |
(* wj (- (+ (* 5/2 (/ x wj)) (/ 1 wj)) (+ 1 (+ (* 2/3 x) (* 2 x))))) |
(* -1 (* wj (+ 1 (+ (* 2/3 x) (* 2 x))))) |
(* wj (+ (* -1 (+ 1 (+ (* 2/3 x) (* 2 x)))) (/ 1 wj))) |
(* wj (+ (* -1 (+ 1 (+ (* 2/3 x) (* 2 x)))) (/ 1 wj))) |
(* wj (+ (* -1 (+ 1 (+ (* 2/3 x) (* 2 x)))) (/ 1 wj))) |
wj |
(* -1 (* wj (- (/ 1 wj) 1))) |
(* -1 (* wj (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ x (exp wj))) 1) wj)) 1) wj)) 1))) |
(* -1 (* wj (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ x (exp wj))) (+ (/ 1 wj) (/ x (* wj (exp wj))))) 1) wj)) 1) wj)) 1))) |
(* -1 (* (pow wj 3) (+ 1 (+ (* 2/3 x) (* 2 x))))) |
(* -1 (* (pow wj 3) (+ 1 (+ (* -1 (/ (+ 1 (* 5/2 x)) wj)) (+ (* 2/3 x) (* 2 x)))))) |
(* -1 (* (pow wj 3) (+ 1 (+ (* -1 (/ (+ 1 (+ (* -2 (/ x wj)) (* 5/2 x))) wj)) (+ (* 2/3 x) (* 2 x)))))) |
(* -1 (* (pow wj 3) (+ 1 (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ (* -1 (/ x wj)) (* 2 x)) wj)) (* 5/2 x))) wj)) (+ (* 2/3 x) (* 2 x)))))) |
wj |
(* -1 (* wj (- (/ 1 wj) 1))) |
(* -1 (* wj (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ x (exp wj))) 1) wj)) 1) wj)) 1))) |
(* -1 (* wj (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ x (exp wj))) (+ (/ 1 wj) (/ x (* wj (exp wj))))) 1) wj)) 1) wj)) 1))) |
1 |
(+ 1 (* -1 (/ (+ 1 (/ x (exp wj))) wj))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (/ x (exp wj))) wj)) (/ x (exp wj)))) wj))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 (/ (- (* -1 (/ (+ 1 (/ x (exp wj))) wj)) (* -1 (+ 1 (/ x (exp wj))))) wj)) (/ x (exp wj)))) wj))) |
(* wj (+ 1 (* 2 x))) |
(* -1 (* wj (+ (* -1 (+ 1 (* 2 x))) (/ x wj)))) |
(* -1 (* wj (+ (* -1 (+ 1 (* 2 x))) (/ x wj)))) |
(* -1 (* wj (+ (* -1 (+ 1 (* 2 x))) (/ x wj)))) |
wj |
(* -1 (* wj (- (/ 1 wj) 1))) |
(* -1 (* wj (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ x (exp wj))) 1) wj)) 1) wj)) 1))) |
(* -1 (* wj (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ x (exp wj))) (+ (/ 1 wj) (/ x (* wj (exp wj))))) 1) wj)) 1) wj)) 1))) |
1 |
(+ 1 (* -1 (/ (+ 1 (/ x (exp wj))) wj))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (/ x (exp wj))) wj)) (/ x (exp wj)))) wj))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 (/ (- (* -1 (/ (+ 1 (/ x (exp wj))) wj)) (* -1 (+ 1 (/ x (exp wj))))) wj)) (/ x (exp wj)))) wj))) |
wj |
(* -1 (* wj (- (/ 1 wj) 1))) |
(* -1 (* wj (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ x (exp wj))) 1) wj)) 1) wj)) 1))) |
(* -1 (* wj (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ x (exp wj))) (+ (/ 1 wj) (/ x (* wj (exp wj))))) 1) wj)) 1) wj)) 1))) |
(/ x (* wj (exp wj))) |
(* -1 (/ (+ (* -1 (/ x (exp wj))) (/ x (* wj (exp wj)))) wj)) |
(* -1 (/ (+ (* -1 (/ x (exp wj))) (* -1 (/ (- (/ x (* wj (exp wj))) (/ x (exp wj))) wj))) wj)) |
(* -1 (/ (+ (* -1 (/ x (exp wj))) (* -1 (/ (- (* -1 (/ (- (/ x (* wj (exp wj))) (/ x (exp wj))) wj)) (/ x (exp wj))) wj))) wj)) |
(* wj (exp wj)) |
(* -1 (* wj (+ (* -1 (exp wj)) (* -1 (/ (exp wj) wj))))) |
(* -1 (* wj (+ (* -1 (exp wj)) (* -1 (/ (exp wj) wj))))) |
(* -1 (* wj (+ (* -1 (exp wj)) (* -1 (/ (exp wj) wj))))) |
(exp wj) |
(exp wj) |
(exp wj) |
(exp wj) |
wj |
(* -1 (* wj (- (/ 1 wj) 1))) |
(* -1 (* wj (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ x (exp wj))) 1) wj)) 1) wj)) 1))) |
(* -1 (* wj (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ 1 (* 2 (/ x (exp wj)))) (+ (* -2 (- (* -1 (/ x (exp wj))) 1)) (/ x (exp wj)))) wj)) (* -1 (- (* -1 (/ x (exp wj))) 1))) wj)) 1) wj)) 1))) |
-1 |
(- (* -1 (/ (- (* -1 (/ x (exp wj))) 1) wj)) 1) |
(- (* -1 (/ (- (+ (* -1 (/ x (exp wj))) (* -1 (/ (- (* -1 (/ x (exp wj))) 1) wj))) 1) wj)) 1) |
(- (* -1 (/ (- (+ (* -1 (/ x (exp wj))) (* -1 (/ (- (* -1 (/ (- (* -1 (/ x (exp wj))) 1) wj)) (* -1 (- (* -1 (/ x (exp wj))) 1))) wj))) 1) wj)) 1) |
(* -1 (pow wj 2)) |
(* (pow wj 2) (- (/ 1 (pow wj 2)) 1)) |
(* (pow wj 2) (- (+ (* -1 (/ (+ 2 (* 2 (/ x (exp wj)))) (pow wj 3))) (/ 1 (pow wj 2))) 1)) |
(* (pow wj 2) (- (+ (* -1 (/ (+ 2 (+ (* -1 (/ (- (/ (pow x 2) (pow (exp wj) 2)) (+ 1 (* -2 (+ 2 (* 2 (/ x (exp wj))))))) wj)) (* 2 (/ x (exp wj))))) (pow wj 3))) (/ 1 (pow wj 2))) 1)) |
1 |
(+ 1 (* -1 (/ (+ 2 (* 2 (/ x (exp wj)))) wj))) |
(+ 1 (* -1 (/ (+ 2 (+ (* -1 (/ (- (/ (pow x 2) (pow (exp wj) 2)) (+ 1 (* -2 (+ 2 (* 2 (/ x (exp wj))))))) wj)) (* 2 (/ x (exp wj))))) wj))) |
(+ 1 (* -1 (/ (+ 2 (+ (* -1 (/ (- (+ (* -2 (/ (- (/ (pow x 2) (pow (exp wj) 2)) (+ 1 (* -2 (+ 2 (* 2 (/ x (exp wj))))))) wj)) (+ (* 2 (/ x (* wj (exp wj)))) (+ (* 2 (/ 1 wj)) (/ (pow x 2) (pow (exp wj) 2))))) (+ 1 (* -2 (+ 2 (* 2 (/ x (exp wj))))))) wj)) (* 2 (/ x (exp wj))))) wj))) |
(* wj (+ 1 (+ (* 2/3 x) (* 2 x)))) |
(* wj (+ 1 (+ (* 2/3 x) (* 2 x)))) |
(* wj (+ 1 (+ (* 2/3 x) (* 2 x)))) |
(* wj (+ 1 (+ (* 2/3 x) (* 2 x)))) |
(* -1 (* wj (+ 1 (+ (* 2/3 x) (* 2 x))))) |
(* -1 (* wj (- (* -1 (/ (+ 1 (* 5/2 x)) wj)) (* -1 (+ 1 (+ (* 2/3 x) (* 2 x))))))) |
(* -1 (* wj (- (* -1 (/ (+ 1 (* 5/2 x)) wj)) (* -1 (+ 1 (+ (* 2/3 x) (* 2 x))))))) |
(* -1 (* wj (- (* -1 (/ (+ 1 (* 5/2 x)) wj)) (* -1 (+ 1 (+ (* 2/3 x) (* 2 x))))))) |
1 |
(+ 1 (* 8/3 x)) |
(+ 1 (* 8/3 x)) |
(+ 1 (* 8/3 x)) |
(- 1 wj) |
(- (+ 1 (* -8/3 (* wj x))) wj) |
(- (+ 1 (* -8/3 (* wj x))) wj) |
(- (+ 1 (* -8/3 (* wj x))) wj) |
(- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) |
(- (+ wj (/ x (+ (exp wj) (* wj (exp wj))))) (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) |
(- (+ wj (/ x (+ (exp wj) (* wj (exp wj))))) (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) |
(- (+ wj (/ x (+ (exp wj) (* wj (exp wj))))) (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) |
(* (pow wj 2) (- 1 wj)) |
(+ (* x (+ 1 (* wj (- (* wj (- 5/2 (* 8/3 wj))) 2)))) (* (pow wj 2) (- 1 wj))) |
(+ (* x (+ 1 (* wj (- (* wj (- 5/2 (* 8/3 wj))) 2)))) (* (pow wj 2) (- 1 wj))) |
(+ (* x (+ 1 (* wj (- (* wj (- 5/2 (* 8/3 wj))) 2)))) (* (pow wj 2) (- 1 wj))) |
(- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) |
(- (+ wj (/ x (+ (exp wj) (* wj (exp wj))))) (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) |
(- (+ wj (/ x (+ (exp wj) (* wj (exp wj))))) (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) |
(- (+ wj (/ x (+ (exp wj) (* wj (exp wj))))) (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) |
(/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))) |
(+ (* -1 (/ x (+ (exp wj) (* wj (exp wj))))) (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) |
(+ (* -1 (/ x (+ (exp wj) (* wj (exp wj))))) (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) |
(+ (* -1 (/ x (+ (exp wj) (* wj (exp wj))))) (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) |
wj |
(+ wj (* x (- (* 2 wj) 1))) |
(+ wj (* x (- (* 2 wj) 1))) |
(+ wj (* x (- (* 2 wj) 1))) |
(- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) |
(- (+ wj (/ x (+ (exp wj) (* wj (exp wj))))) (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) |
(- (+ wj (/ x (+ (exp wj) (* wj (exp wj))))) (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) |
(- (+ wj (/ x (+ (exp wj) (* wj (exp wj))))) (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) |
(/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))) |
(+ (* -1 (/ x (+ (exp wj) (* wj (exp wj))))) (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) |
(+ (* -1 (/ x (+ (exp wj) (* wj (exp wj))))) (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) |
(+ (* -1 (/ x (+ (exp wj) (* wj (exp wj))))) (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) |
1 |
(+ 1 (* 2 x)) |
(+ 1 (* 2 x)) |
(+ 1 (* 2 x)) |
(- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) |
(- (+ wj (/ x (+ (exp wj) (* wj (exp wj))))) (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) |
(- (+ wj (/ x (+ (exp wj) (* wj (exp wj))))) (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) |
(- (+ wj (/ x (+ (exp wj) (* wj (exp wj))))) (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) |
(/ x (+ (exp wj) (* wj (exp wj)))) |
(/ x (+ (exp wj) (* wj (exp wj)))) |
(/ x (+ (exp wj) (* wj (exp wj)))) |
(/ x (+ (exp wj) (* wj (exp wj)))) |
(* -1 (/ (- (/ (* (pow wj 2) (pow (exp wj) 2)) (pow (+ (exp wj) (* wj (exp wj))) 2)) (pow wj 2)) (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))))) |
(+ (* -1 (/ (- (/ (* (pow wj 2) (pow (exp wj) 2)) (pow (+ (exp wj) (* wj (exp wj))) 2)) (pow wj 2)) (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))))) (* x (- (+ (* 2 (/ (* wj (exp wj)) (* (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) (pow (+ (exp wj) (* wj (exp wj))) 2)))) (/ (pow wj 2) (* (pow (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) 2) (+ (exp wj) (* wj (exp wj)))))) (/ (* (pow wj 2) (pow (exp wj) 2)) (* (pow (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) 2) (pow (+ (exp wj) (* wj (exp wj))) 3)))))) |
(+ (* -1 (/ (- (/ (* (pow wj 2) (pow (exp wj) 2)) (pow (+ (exp wj) (* wj (exp wj))) 2)) (pow wj 2)) (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))))) (* x (- (+ (* -1 (* x (+ (* -1 (/ (- (+ (* 2 (/ (* wj (exp wj)) (* (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) (pow (+ (exp wj) (* wj (exp wj))) 2)))) (/ (pow wj 2) (* (pow (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) 2) (+ (exp wj) (* wj (exp wj)))))) (/ (* (pow wj 2) (pow (exp wj) 2)) (* (pow (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) 2) (pow (+ (exp wj) (* wj (exp wj))) 3)))) (* (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) (+ (exp wj) (* wj (exp wj)))))) (/ 1 (* (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) (pow (+ (exp wj) (* wj (exp wj))) 2)))))) (+ (* 2 (/ (* wj (exp wj)) (* (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) (pow (+ (exp wj) (* wj (exp wj))) 2)))) (/ (pow wj 2) (* (pow (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) 2) (+ (exp wj) (* wj (exp wj))))))) (/ (* (pow wj 2) (pow (exp wj) 2)) (* (pow (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) 2) (pow (+ (exp wj) (* wj (exp wj))) 3)))))) |
(+ (* -1 (/ (- (/ (* (pow wj 2) (pow (exp wj) 2)) (pow (+ (exp wj) (* wj (exp wj))) 2)) (pow wj 2)) (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))))) (* x (- (+ (* 2 (/ (* wj (exp wj)) (* (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) (pow (+ (exp wj) (* wj (exp wj))) 2)))) (+ (* x (- (* -1 (* x (+ (* -1 (/ (- (+ (* 2 (/ (* wj (exp wj)) (* (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) (pow (+ (exp wj) (* wj (exp wj))) 2)))) (/ (pow wj 2) (* (pow (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) 2) (+ (exp wj) (* wj (exp wj)))))) (/ (* (pow wj 2) (pow (exp wj) 2)) (* (pow (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) 2) (pow (+ (exp wj) (* wj (exp wj))) 3)))) (* (pow (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) 2) (pow (+ (exp wj) (* wj (exp wj))) 2)))) (/ 1 (* (pow (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) 2) (pow (+ (exp wj) (* wj (exp wj))) 3)))))) (+ (* -1 (/ (- (+ (* 2 (/ (* wj (exp wj)) (* (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) (pow (+ (exp wj) (* wj (exp wj))) 2)))) (/ (pow wj 2) (* (pow (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) 2) (+ (exp wj) (* wj (exp wj)))))) (/ (* (pow wj 2) (pow (exp wj) 2)) (* (pow (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) 2) (pow (+ (exp wj) (* wj (exp wj))) 3)))) (* (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) (+ (exp wj) (* wj (exp wj)))))) (/ 1 (* (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) (pow (+ (exp wj) (* wj (exp wj))) 2)))))) (/ (pow wj 2) (* (pow (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) 2) (+ (exp wj) (* wj (exp wj))))))) (/ (* (pow wj 2) (pow (exp wj) 2)) (* (pow (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) 2) (pow (+ (exp wj) (* wj (exp wj))) 3)))))) |
(* -1 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) |
(+ (* -1 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) (/ x (+ (exp wj) (* wj (exp wj))))) |
(+ (* -1 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) (/ x (+ (exp wj) (* wj (exp wj))))) |
(+ (* -1 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) (/ x (+ (exp wj) (* wj (exp wj))))) |
(- (/ (* (pow wj 2) (pow (exp wj) 2)) (pow (+ (exp wj) (* wj (exp wj))) 2)) (pow wj 2)) |
(- (+ (* -2 (/ (* wj (* x (exp wj))) (pow (+ (exp wj) (* wj (exp wj))) 2))) (/ (* (pow wj 2) (pow (exp wj) 2)) (pow (+ (exp wj) (* wj (exp wj))) 2))) (pow wj 2)) |
(- (+ (* x (+ (* -2 (/ (* wj (exp wj)) (pow (+ (exp wj) (* wj (exp wj))) 2))) (/ x (pow (+ (exp wj) (* wj (exp wj))) 2)))) (/ (* (pow wj 2) (pow (exp wj) 2)) (pow (+ (exp wj) (* wj (exp wj))) 2))) (pow wj 2)) |
(- (+ (* x (+ (* -2 (/ (* wj (exp wj)) (pow (+ (exp wj) (* wj (exp wj))) 2))) (/ x (pow (+ (exp wj) (* wj (exp wj))) 2)))) (/ (* (pow wj 2) (pow (exp wj) 2)) (pow (+ (exp wj) (* wj (exp wj))) 2))) (pow wj 2)) |
(/ (* (pow wj 2) (pow (exp wj) 2)) (pow (+ (exp wj) (* wj (exp wj))) 2)) |
(+ (* -2 (/ (* wj (* x (exp wj))) (pow (+ (exp wj) (* wj (exp wj))) 2))) (/ (* (pow wj 2) (pow (exp wj) 2)) (pow (+ (exp wj) (* wj (exp wj))) 2))) |
(+ (* x (+ (* -2 (/ (* wj (exp wj)) (pow (+ (exp wj) (* wj (exp wj))) 2))) (/ x (pow (+ (exp wj) (* wj (exp wj))) 2)))) (/ (* (pow wj 2) (pow (exp wj) 2)) (pow (+ (exp wj) (* wj (exp wj))) 2))) |
(+ (* x (+ (* -2 (/ (* wj (exp wj)) (pow (+ (exp wj) (* wj (exp wj))) 2))) (/ x (pow (+ (exp wj) (* wj (exp wj))) 2)))) (/ (* (pow wj 2) (pow (exp wj) 2)) (pow (+ (exp wj) (* wj (exp wj))) 2))) |
wj |
(+ wj (* 8/3 (* wj x))) |
(+ wj (* 8/3 (* wj x))) |
(+ wj (* 8/3 (* wj x))) |
(- 1 wj) |
(- (+ 1 (* x (- 5/2 (* 8/3 wj)))) wj) |
(- (+ 1 (* x (- 5/2 (* 8/3 wj)))) wj) |
(- (+ 1 (* x (- 5/2 (* 8/3 wj)))) wj) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* 8/3 x) |
(* x (+ 8/3 (/ 1 x))) |
(* x (+ 8/3 (/ 1 x))) |
(* x (+ 8/3 (/ 1 x))) |
(* -8/3 (* wj x)) |
(* x (- (/ 1 x) (+ (* 8/3 wj) (/ wj x)))) |
(* x (- (/ 1 x) (+ (* 8/3 wj) (/ wj x)))) |
(* x (- (/ 1 x) (+ (* 8/3 wj) (/ wj x)))) |
(/ x (+ (exp wj) (* wj (exp wj)))) |
(* x (- (+ (/ 1 (+ (exp wj) (* wj (exp wj)))) (/ wj x)) (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj))))))) |
(* x (- (+ (/ 1 (+ (exp wj) (* wj (exp wj)))) (/ wj x)) (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj))))))) |
(* x (- (+ (/ 1 (+ (exp wj) (* wj (exp wj)))) (/ wj x)) (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj))))))) |
(* x (+ 1 (* wj (- (* wj (- 5/2 (* 8/3 wj))) 2)))) |
(* x (+ 1 (+ (* wj (- (* wj (- 5/2 (* 8/3 wj))) 2)) (/ (* (pow wj 2) (- 1 wj)) x)))) |
(* x (+ 1 (+ (* wj (- (* wj (- 5/2 (* 8/3 wj))) 2)) (/ (* (pow wj 2) (- 1 wj)) x)))) |
(* x (+ 1 (+ (* wj (- (* wj (- 5/2 (* 8/3 wj))) 2)) (/ (* (pow wj 2) (- 1 wj)) x)))) |
(/ x (+ (exp wj) (* wj (exp wj)))) |
(* x (- (+ (/ 1 (+ (exp wj) (* wj (exp wj)))) (/ wj x)) (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj))))))) |
(* x (- (+ (/ 1 (+ (exp wj) (* wj (exp wj)))) (/ wj x)) (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj))))))) |
(* x (- (+ (/ 1 (+ (exp wj) (* wj (exp wj)))) (/ wj x)) (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj))))))) |
(* -1 (/ x (+ (exp wj) (* wj (exp wj))))) |
(* x (- (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj))))) (/ 1 (+ (exp wj) (* wj (exp wj)))))) |
(* x (- (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj))))) (/ 1 (+ (exp wj) (* wj (exp wj)))))) |
(* x (- (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj))))) (/ 1 (+ (exp wj) (* wj (exp wj)))))) |
(* x (- (* 2 wj) 1)) |
(* x (- (+ (* 2 wj) (/ wj x)) 1)) |
(* x (- (+ (* 2 wj) (/ wj x)) 1)) |
(* x (- (+ (* 2 wj) (/ wj x)) 1)) |
(/ x (+ (exp wj) (* wj (exp wj)))) |
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(* x (- (+ (/ 1 (+ (exp wj) (* wj (exp wj)))) (/ wj x)) (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj))))))) |
(* x (- (+ (/ 1 (+ (exp wj) (* wj (exp wj)))) (/ wj x)) (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj))))))) |
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(* x (- (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj))))) (/ 1 (+ (exp wj) (* wj (exp wj)))))) |
(* 2 x) |
(* x (+ 2 (/ 1 x))) |
(* x (+ 2 (/ 1 x))) |
(* x (+ 2 (/ 1 x))) |
(/ x (+ (exp wj) (* wj (exp wj)))) |
(* x (- (+ (/ 1 (+ (exp wj) (* wj (exp wj)))) (/ wj x)) (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj))))))) |
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(/ x (+ (exp wj) (* wj (exp wj)))) |
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(/ x (+ (exp wj) (* wj (exp wj)))) |
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(* x (- (+ (* -2 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (+ (/ 1 (+ (exp wj) (* wj (exp wj)))) (+ (/ (* (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) (* (+ (exp wj) (* wj (exp wj))) (- (* (+ (exp wj) (* wj (exp wj))) (- (/ (* (pow wj 2) (pow (exp wj) 2)) (pow (+ (exp wj) (* wj (exp wj))) 2)) (pow wj 2))) (* -1 (* (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) (* (+ (exp wj) (* wj (exp wj))) (- (* -2 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) (* -1 (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))))))))))) (pow x 3)) (/ (* (+ (exp wj) (* wj (exp wj))) (- (/ (* (pow wj 2) (pow (exp wj) 2)) (pow (+ (exp wj) (* wj (exp wj))) 2)) (pow wj 2))) (pow x 2))))) (+ (* -1 (/ (* (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) (* (+ (exp wj) (* wj (exp wj))) (- (* -2 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) (* -1 (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))))))) (pow x 2))) (* -1 (/ (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x))))) |
(/ x (+ (exp wj) (* wj (exp wj)))) |
(* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj)))))) |
(* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj)))))) |
(* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj)))))) |
(/ (pow x 2) (pow (+ (exp wj) (* wj (exp wj))) 2)) |
(* (pow x 2) (+ (* -2 (/ (* wj (exp wj)) (* x (pow (+ (exp wj) (* wj (exp wj))) 2)))) (/ 1 (pow (+ (exp wj) (* wj (exp wj))) 2)))) |
(* (pow x 2) (- (+ (* -2 (/ (* wj (exp wj)) (* x (pow (+ (exp wj) (* wj (exp wj))) 2)))) (+ (/ 1 (pow (+ (exp wj) (* wj (exp wj))) 2)) (/ (* (pow wj 2) (pow (exp wj) 2)) (* (pow x 2) (pow (+ (exp wj) (* wj (exp wj))) 2))))) (/ (pow wj 2) (pow x 2)))) |
(* (pow x 2) (- (+ (* -2 (/ (* wj (exp wj)) (* x (pow (+ (exp wj) (* wj (exp wj))) 2)))) (+ (/ 1 (pow (+ (exp wj) (* wj (exp wj))) 2)) (/ (* (pow wj 2) (pow (exp wj) 2)) (* (pow x 2) (pow (+ (exp wj) (* wj (exp wj))) 2))))) (/ (pow wj 2) (pow x 2)))) |
(/ (pow x 2) (pow (+ (exp wj) (* wj (exp wj))) 2)) |
(* (pow x 2) (+ (* -2 (/ (* wj (exp wj)) (* x (pow (+ (exp wj) (* wj (exp wj))) 2)))) (/ 1 (pow (+ (exp wj) (* wj (exp wj))) 2)))) |
(* (pow x 2) (+ (* -2 (/ (* wj (exp wj)) (* x (pow (+ (exp wj) (* wj (exp wj))) 2)))) (+ (/ 1 (pow (+ (exp wj) (* wj (exp wj))) 2)) (/ (* (pow wj 2) (pow (exp wj) 2)) (* (pow x 2) (pow (+ (exp wj) (* wj (exp wj))) 2)))))) |
(* (pow x 2) (+ (* -2 (/ (* wj (exp wj)) (* x (pow (+ (exp wj) (* wj (exp wj))) 2)))) (+ (/ 1 (pow (+ (exp wj) (* wj (exp wj))) 2)) (/ (* (pow wj 2) (pow (exp wj) 2)) (* (pow x 2) (pow (+ (exp wj) (* wj (exp wj))) 2)))))) |
(* 8/3 (* wj x)) |
(* x (+ (* 8/3 wj) (/ wj x))) |
(* x (+ (* 8/3 wj) (/ wj x))) |
(* x (+ (* 8/3 wj) (/ wj x))) |
(* x (- 5/2 (* 8/3 wj))) |
(* x (- (+ 5/2 (/ 1 x)) (+ (* 8/3 wj) (/ wj x)))) |
(* x (- (+ 5/2 (/ 1 x)) (+ (* 8/3 wj) (/ wj x)))) |
(* x (- (+ 5/2 (/ 1 x)) (+ (* 8/3 wj) (/ wj x)))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* 8/3 x) |
(* x (+ 8/3 (/ 1 x))) |
(* x (+ 8/3 (/ 1 x))) |
(* x (+ 8/3 (/ 1 x))) |
(* -8/3 (* wj x)) |
(* -1 (* x (- (* -1 (/ (- 1 wj) x)) (* -8/3 wj)))) |
(* -1 (* x (- (* -1 (/ (- 1 wj) x)) (* -8/3 wj)))) |
(* -1 (* x (- (* -1 (/ (- 1 wj) x)) (* -8/3 wj)))) |
(/ x (+ (exp wj) (* wj (exp wj)))) |
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(* -1 (* x (- (* wj (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj)))))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* (pow wj 2) (- 1 wj)) x)) (* wj (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* (pow wj 2) (- 1 wj)) x)) (* wj (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* (pow wj 2) (- 1 wj)) x)) (* wj (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))))) 1))) |
(/ x (+ (exp wj) (* wj (exp wj)))) |
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(* -1 (/ x (+ (exp wj) (* wj (exp wj))))) |
(* -1 (* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(* -1 (* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(* -1 (* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(* -1 (* x (+ 1 (* -2 wj)))) |
(* -1 (* x (+ 1 (+ (* -2 wj) (* -1 (/ wj x)))))) |
(* -1 (* x (+ 1 (+ (* -2 wj) (* -1 (/ wj x)))))) |
(* -1 (* x (+ 1 (+ (* -2 wj) (* -1 (/ wj x)))))) |
(/ x (+ (exp wj) (* wj (exp wj)))) |
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(* -1 (/ x (+ (exp wj) (* wj (exp wj))))) |
(* -1 (* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(* -1 (* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(* -1 (* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(* 2 x) |
(* x (+ 2 (/ 1 x))) |
(* x (+ 2 (/ 1 x))) |
(* x (+ 2 (/ 1 x))) |
(/ x (+ (exp wj) (* wj (exp wj)))) |
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(/ x (+ (exp wj) (* wj (exp wj)))) |
(/ x (+ (exp wj) (* wj (exp wj)))) |
(/ x (+ (exp wj) (* wj (exp wj)))) |
(/ x (+ (exp wj) (* wj (exp wj)))) |
(/ x (+ (exp wj) (* wj (exp wj)))) |
(* -1 (* x (- (* -1 (/ (- (+ wj (* -2 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))) (* -1 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(* -1 (* x (- (* -1 (/ (- (+ wj (+ (* -2 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) (* -1 (/ (- (* -1 (* (+ (exp wj) (* wj (exp wj))) (- (/ (* (pow wj 2) (pow (exp wj) 2)) (pow (+ (exp wj) (* wj (exp wj))) 2)) (pow wj 2)))) (* -1 (* (+ (exp wj) (* wj (exp wj))) (* (- (* -1 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) wj) (- (+ wj (* -2 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))) (* -1 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))))))) x)))) (* -1 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(* -1 (* x (- (* -1 (/ (- (+ wj (+ (* -2 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) (* -1 (/ (- (+ (* -1 (* (+ (exp wj) (* wj (exp wj))) (- (/ (* (pow wj 2) (pow (exp wj) 2)) (pow (+ (exp wj) (* wj (exp wj))) 2)) (pow wj 2)))) (* -1 (/ (* (+ (exp wj) (* wj (exp wj))) (* (- (* -1 (* (+ (exp wj) (* wj (exp wj))) (- (/ (* (pow wj 2) (pow (exp wj) 2)) (pow (+ (exp wj) (* wj (exp wj))) 2)) (pow wj 2)))) (* -1 (* (+ (exp wj) (* wj (exp wj))) (* (- (* -1 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) wj) (- (+ wj (* -2 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))) (* -1 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))))))) (- (* -1 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) wj))) x))) (* -1 (* (+ (exp wj) (* wj (exp wj))) (* (- (* -1 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) wj) (- (+ wj (* -2 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))) (* -1 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))))))) x)))) (* -1 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(/ x (+ (exp wj) (* wj (exp wj)))) |
(* -1 (* x (- (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj))))) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(* -1 (* x (- (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj))))) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(* -1 (* x (- (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj))))) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(/ (pow x 2) (pow (+ (exp wj) (* wj (exp wj))) 2)) |
(* (pow x 2) (+ (* -2 (/ (* wj (exp wj)) (* x (pow (+ (exp wj) (* wj (exp wj))) 2)))) (/ 1 (pow (+ (exp wj) (* wj (exp wj))) 2)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (- (/ (* (pow wj 2) (pow (exp wj) 2)) (pow (+ (exp wj) (* wj (exp wj))) 2)) (pow wj 2)) x)) (* 2 (/ (* wj (exp wj)) (pow (+ (exp wj) (* wj (exp wj))) 2)))) x)) (/ 1 (pow (+ (exp wj) (* wj (exp wj))) 2)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (- (/ (* (pow wj 2) (pow (exp wj) 2)) (pow (+ (exp wj) (* wj (exp wj))) 2)) (pow wj 2)) x)) (* 2 (/ (* wj (exp wj)) (pow (+ (exp wj) (* wj (exp wj))) 2)))) x)) (/ 1 (pow (+ (exp wj) (* wj (exp wj))) 2)))) |
(/ (pow x 2) (pow (+ (exp wj) (* wj (exp wj))) 2)) |
(* (pow x 2) (+ (* -2 (/ (* wj (exp wj)) (* x (pow (+ (exp wj) (* wj (exp wj))) 2)))) (/ 1 (pow (+ (exp wj) (* wj (exp wj))) 2)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow wj 2) (pow (exp wj) 2)) (* x (pow (+ (exp wj) (* wj (exp wj))) 2)))) (* 2 (/ (* wj (exp wj)) (pow (+ (exp wj) (* wj (exp wj))) 2)))) x)) (/ 1 (pow (+ (exp wj) (* wj (exp wj))) 2)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow wj 2) (pow (exp wj) 2)) (* x (pow (+ (exp wj) (* wj (exp wj))) 2)))) (* 2 (/ (* wj (exp wj)) (pow (+ (exp wj) (* wj (exp wj))) 2)))) x)) (/ 1 (pow (+ (exp wj) (* wj (exp wj))) 2)))) |
(* 8/3 (* wj x)) |
(* -1 (* x (+ (* -8/3 wj) (* -1 (/ wj x))))) |
(* -1 (* x (+ (* -8/3 wj) (* -1 (/ wj x))))) |
(* -1 (* x (+ (* -8/3 wj) (* -1 (/ wj x))))) |
(* x (+ 5/2 (* -8/3 wj))) |
(* -1 (* x (- (* -1 (/ (- 1 wj) x)) (+ 5/2 (* -8/3 wj))))) |
(* -1 (* x (- (* -1 (/ (- 1 wj) x)) (+ 5/2 (* -8/3 wj))))) |
(* -1 (* x (- (* -1 (/ (- 1 wj) x)) (+ 5/2 (* -8/3 wj))))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* wj (+ 1 (+ (* 2/3 x) (* 2 x)))))) |
(fma.f64 (fma.f64 #s(literal -8/3 binary64) x #s(literal -1 binary64)) wj #s(literal 1 binary64)) |
(+ 1 (* -1 (* wj (+ 1 (+ (* 2/3 x) (* 2 x)))))) |
(fma.f64 (fma.f64 #s(literal -8/3 binary64) x #s(literal -1 binary64)) wj #s(literal 1 binary64)) |
(+ 1 (* -1 (* wj (+ 1 (+ (* 2/3 x) (* 2 x)))))) |
(fma.f64 (fma.f64 #s(literal -8/3 binary64) x #s(literal -1 binary64)) wj #s(literal 1 binary64)) |
x |
(+ x (* -2 (* wj x))) |
(*.f64 (fma.f64 #s(literal -2 binary64) wj #s(literal 1 binary64)) x) |
(+ x (* wj (- (* wj (- 1 (+ (* -4 x) (* 3/2 x)))) (* 2 x)))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x) |
(+ x (* wj (- (* wj (- (+ 1 (* -1 (* wj (+ 1 (+ (* -3 x) (+ (* -2 (+ (* -4 x) (* 3/2 x))) (* 2/3 x))))))) (+ (* -4 x) (* 3/2 x)))) (* 2 x)))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 wj) (+.f64 (fma.f64 #s(literal -3 binary64) x (fma.f64 (*.f64 x #s(literal -5/2 binary64)) #s(literal -2 binary64) (*.f64 x #s(literal 2/3 binary64)))) #s(literal 1 binary64)) (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64))) wj (*.f64 #s(literal -2 binary64) x)) wj x) |
x |
(+ x (* -2 (* wj x))) |
(*.f64 (fma.f64 #s(literal -2 binary64) wj #s(literal 1 binary64)) x) |
(+ x (* wj (+ (* -2 x) (* wj (+ 1 (* 5/2 x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x) |
(+ x (* wj (+ (* -2 x) (* wj (+ 1 (+ (* -1 (* wj (+ 1 (+ (* 2/3 x) (* 2 x))))) (* 5/2 x))))))) |
(fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8/3 binary64) x #s(literal -1 binary64)) wj (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64))) wj (*.f64 #s(literal -2 binary64) x)) wj x) |
x |
(+ x (* -2 (* wj x))) |
(*.f64 (fma.f64 #s(literal -2 binary64) wj #s(literal 1 binary64)) x) |
(+ x (* wj (- (* wj (- 1 (+ (* -4 x) (* 3/2 x)))) (* 2 x)))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x) |
(+ x (* wj (- (* wj (- (+ 1 (* -1 (* wj (+ 1 (+ (* -3 x) (+ (* -2 (+ (* -4 x) (* 3/2 x))) (* 2/3 x))))))) (+ (* -4 x) (* 3/2 x)))) (* 2 x)))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 wj) (+.f64 (fma.f64 #s(literal -3 binary64) x (fma.f64 (*.f64 x #s(literal -5/2 binary64)) #s(literal -2 binary64) (*.f64 x #s(literal 2/3 binary64)))) #s(literal 1 binary64)) (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64))) wj (*.f64 #s(literal -2 binary64) x)) wj x) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (* wj (- 1 (* -2 x)))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) wj #s(literal -1 binary64)) x wj) |
(+ (* -1 x) (* wj (- (+ 1 (* wj (- 1 (+ (* -3/2 x) (* 2 (- 1 (* -2 x))))))) (* -2 x)))) |
(fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal -5/2 binary64))) #s(literal 1 binary64)) wj (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj (neg.f64 x)) |
(+ (* -1 x) (* wj (- (+ 1 (* wj (- (+ 1 (* wj (- 1/2 (+ (* -2/3 x) (+ (* 3/2 (- 1 (* -2 x))) (* 2 (- 1 (+ (* -3/2 x) (* 2 (- 1 (* -2 x))))))))))) (+ (* -3/2 x) (* 2 (- 1 (* -2 x))))))) (* -2 x)))) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal -5/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 3/2 binary64) (*.f64 #s(literal -2/3 binary64) x)))) wj (+.f64 (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal -5/2 binary64))) #s(literal 1 binary64))) wj (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj (neg.f64 x)) |
(* -1 x) |
(neg.f64 x) |
(- (* wj (+ 1 (* 2 x))) x) |
(fma.f64 (fma.f64 #s(literal 2 binary64) wj #s(literal -1 binary64)) x wj) |
(- (* wj (+ 1 (* 2 x))) x) |
(fma.f64 (fma.f64 #s(literal 2 binary64) wj #s(literal -1 binary64)) x wj) |
(- (* wj (+ 1 (* 2 x))) x) |
(fma.f64 (fma.f64 #s(literal 2 binary64) wj #s(literal -1 binary64)) x wj) |
x |
(+ x (* -2 (* wj x))) |
(*.f64 (fma.f64 #s(literal -2 binary64) wj #s(literal 1 binary64)) x) |
(+ x (* wj (- (* wj (- 1 (+ (* -4 x) (* 3/2 x)))) (* 2 x)))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x) |
(+ x (* wj (- (* wj (- (+ 1 (* -1 (* wj (+ 1 (+ (* -3 x) (+ (* -2 (+ (* -4 x) (* 3/2 x))) (* 2/3 x))))))) (+ (* -4 x) (* 3/2 x)))) (* 2 x)))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 wj) (+.f64 (fma.f64 #s(literal -3 binary64) x (fma.f64 (*.f64 x #s(literal -5/2 binary64)) #s(literal -2 binary64) (*.f64 x #s(literal 2/3 binary64)))) #s(literal 1 binary64)) (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64))) wj (*.f64 #s(literal -2 binary64) x)) wj x) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (* wj (- 1 (* -2 x)))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) wj #s(literal -1 binary64)) x wj) |
(+ (* -1 x) (* wj (- (+ 1 (* wj (- 1 (+ (* -3/2 x) (* 2 (- 1 (* -2 x))))))) (* -2 x)))) |
(fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal -5/2 binary64))) #s(literal 1 binary64)) wj (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj (neg.f64 x)) |
(+ (* -1 x) (* wj (- (+ 1 (* wj (- (+ 1 (* wj (- 1/2 (+ (* -2/3 x) (+ (* 3/2 (- 1 (* -2 x))) (* 2 (- 1 (+ (* -3/2 x) (* 2 (- 1 (* -2 x))))))))))) (+ (* -3/2 x) (* 2 (- 1 (* -2 x))))))) (* -2 x)))) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal -5/2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 3/2 binary64) (*.f64 #s(literal -2/3 binary64) x)))) wj (+.f64 (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal -5/2 binary64))) #s(literal 1 binary64))) wj (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj (neg.f64 x)) |
x |
(+ x (* -2 (* wj x))) |
(*.f64 (fma.f64 #s(literal -2 binary64) wj #s(literal 1 binary64)) x) |
(+ x (* wj (- (* wj (- 1 (+ (* -4 x) (* 3/2 x)))) (* 2 x)))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x) |
(+ x (* wj (- (* wj (- (+ 1 (* -1 (* wj (+ 1 (+ (* -3 x) (+ (* -2 (+ (* -4 x) (* 3/2 x))) (* 2/3 x))))))) (+ (* -4 x) (* 3/2 x)))) (* 2 x)))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 wj) (+.f64 (fma.f64 #s(literal -3 binary64) x (fma.f64 (*.f64 x #s(literal -5/2 binary64)) #s(literal -2 binary64) (*.f64 x #s(literal 2/3 binary64)))) #s(literal 1 binary64)) (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64))) wj (*.f64 #s(literal -2 binary64) x)) wj x) |
x |
(+ x (* -2 (* wj x))) |
(*.f64 (fma.f64 #s(literal -2 binary64) wj #s(literal 1 binary64)) x) |
(+ x (* wj (- (* -1 (* wj (+ (* -4 x) (* 3/2 x)))) (* 2 x)))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 5/2 binary64) x) wj (*.f64 #s(literal -2 binary64) x)) wj x) |
(+ x (* wj (- (* wj (- (* -1 (* wj (+ (* -3 x) (+ (* -2 (+ (* -4 x) (* 3/2 x))) (* 2/3 x))))) (+ (* -4 x) (* 3/2 x)))) (* 2 x)))) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -3 binary64) x (fma.f64 (*.f64 x #s(literal -5/2 binary64)) #s(literal -2 binary64) (*.f64 x #s(literal 2/3 binary64)))) wj (*.f64 x #s(literal -5/2 binary64)))) wj (*.f64 #s(literal -2 binary64) x)) wj x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 2 wj)) |
(fma.f64 #s(literal 2 binary64) wj #s(literal 1 binary64)) |
(+ 1 (* wj (+ 2 (* 3/2 wj)))) |
(fma.f64 (fma.f64 #s(literal 3/2 binary64) wj #s(literal 2 binary64)) wj #s(literal 1 binary64)) |
(+ 1 (* wj (+ 2 (* wj (+ 3/2 (* 2/3 wj)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) wj #s(literal 3/2 binary64)) wj #s(literal 2 binary64)) wj #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 wj) |
(+.f64 wj #s(literal 1 binary64)) |
(+ 1 (* wj (+ 1 (* 1/2 wj)))) |
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x |
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x |
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(*.f64 x x) |
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(pow x 2) |
(*.f64 x x) |
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(* wj (+ 1 (+ (* 2/3 x) (* 2 x)))) |
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(* wj (+ 1 (+ (* 2/3 x) (* 2 x)))) |
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(* wj (+ 1 (+ (* 2/3 x) (* 2 x)))) |
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(* wj (+ 1 (+ (* 2/3 x) (* 2 x)))) |
(*.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)) wj) |
(+ 1 (* 5/2 x)) |
(fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (* wj (+ 1 (+ (* 2/3 x) (* 2 x))))) (* 5/2 x))) |
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(+ 1 (+ (* -1 (* wj (+ 1 (+ (* 2/3 x) (* 2 x))))) (* 5/2 x))) |
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(+ 1 (+ (* -1 (* wj (+ 1 (+ (* 2/3 x) (* 2 x))))) (* 5/2 x))) |
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(* -1 (* wj (+ 1 (+ (* 2/3 x) (* 2 x))))) |
(*.f64 (fma.f64 #s(literal -8/3 binary64) x #s(literal -1 binary64)) wj) |
(* wj (- (/ 1 wj) (+ 1 (+ (* 2/3 x) (* 2 x))))) |
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(* wj (- (/ 1 wj) (+ 1 (+ (* 2/3 x) (* 2 x))))) |
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(* wj (- (/ 1 wj) (+ 1 (+ (* 2/3 x) (* 2 x))))) |
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wj |
(* wj (- 1 (/ 1 wj))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) wj)) wj) |
(* wj (- (+ 1 (+ (/ 1 (pow wj 2)) (/ x (* (pow wj 2) (exp wj))))) (/ 1 wj))) |
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(* wj (- (+ 1 (+ (* -1 (/ (+ 1 (/ x (exp wj))) (pow wj 3))) (+ (/ 1 (pow wj 2)) (/ x (* (pow wj 2) (exp wj)))))) (/ 1 wj))) |
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(* -1 (* (pow wj 3) (+ 1 (+ (* 2/3 x) (* 2 x))))) |
(*.f64 (fma.f64 #s(literal -8/3 binary64) x #s(literal -1 binary64)) (pow.f64 wj #s(literal 3 binary64))) |
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(* (pow wj 3) (- (+ (* -2 (/ x (pow wj 2))) (+ (* 5/2 (/ x wj)) (/ 1 wj))) (+ 1 (+ (* 2/3 x) (* 2 x))))) |
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(* (pow wj 3) (- (+ (* -2 (/ x (pow wj 2))) (+ (* 5/2 (/ x wj)) (+ (/ 1 wj) (/ x (pow wj 3))))) (+ 1 (+ (* 2/3 x) (* 2 x))))) |
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wj |
(* wj (- 1 (/ 1 wj))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) wj)) wj) |
(* wj (- (+ 1 (+ (/ 1 (pow wj 2)) (/ x (* (pow wj 2) (exp wj))))) (/ 1 wj))) |
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(* wj (- (+ 1 (+ (* -1 (/ (+ 1 (/ x (exp wj))) (pow wj 3))) (+ (/ 1 (pow wj 2)) (/ x (* (pow wj 2) (exp wj)))))) (/ 1 wj))) |
(*.f64 (-.f64 (+.f64 (-.f64 (+.f64 (/.f64 (/.f64 x (*.f64 wj wj)) (exp.f64 wj)) (/.f64 #s(literal 1 binary64) (*.f64 wj wj))) (/.f64 (+.f64 (/.f64 x (exp.f64 wj)) #s(literal 1 binary64)) (pow.f64 wj #s(literal 3 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) wj)) wj) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* -1 (/ x (* wj (exp wj))))) (/ 1 wj)) |
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(* wj (+ 1 (* 2 x))) |
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) wj) |
(* wj (+ 1 (+ (* -1 (/ x wj)) (* 2 x)))) |
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(* wj (+ 1 (+ (* -1 (/ x wj)) (* 2 x)))) |
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(* wj (+ 1 (+ (* -1 (/ x wj)) (* 2 x)))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (neg.f64 x) wj)) wj wj) |
wj |
(* wj (- 1 (/ 1 wj))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) wj)) wj) |
(* wj (- (+ 1 (+ (/ 1 (pow wj 2)) (/ x (* (pow wj 2) (exp wj))))) (/ 1 wj))) |
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(* wj (- (+ 1 (+ (* -1 (/ (+ 1 (/ x (exp wj))) (pow wj 3))) (+ (/ 1 (pow wj 2)) (/ x (* (pow wj 2) (exp wj)))))) (/ 1 wj))) |
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1 |
#s(literal 1 binary64) |
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(- (+ 1 (+ (* -1 (/ x (* wj (exp wj)))) (+ (* -1 (/ x (* (pow wj 3) (exp wj)))) (/ 1 (pow wj 2))))) (+ (* -1 (/ x (* (pow wj 2) (exp wj)))) (+ (/ 1 wj) (/ 1 (pow wj 3))))) |
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wj |
(* wj (- 1 (/ 1 wj))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) wj)) wj) |
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wj |
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(* -1 (* x (- (* -1 (/ (- (+ wj (+ (* -2 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) (* -1 (/ (- (* -1 (* (+ (exp wj) (* wj (exp wj))) (- (/ (* (pow wj 2) (pow (exp wj) 2)) (pow (+ (exp wj) (* wj (exp wj))) 2)) (pow wj 2)))) (* -1 (* (+ (exp wj) (* wj (exp wj))) (* (- (* -1 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) wj) (- (+ wj (* -2 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))) (* -1 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))))))) x)))) (* -1 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(*.f64 (fma.f64 (/.f64 (+.f64 wj (fma.f64 (/.f64 (*.f64 (neg.f64 (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) (-.f64 (*.f64 (*.f64 wj wj) (+.f64 (/.f64 (pow.f64 (exp.f64 wj) #s(literal 2 binary64)) (pow.f64 (fma.f64 (exp.f64 wj) wj (exp.f64 wj)) #s(literal 2 binary64))) #s(literal -1 binary64))) (*.f64 (neg.f64 (fma.f64 (/.f64 (exp.f64 wj) (+.f64 wj #s(literal 1 binary64))) (/.f64 wj (exp.f64 wj)) wj)) (-.f64 wj (/.f64 (*.f64 (exp.f64 wj) wj) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))))))) x) #s(literal -1 binary64) (*.f64 (neg.f64 wj) (/.f64 (exp.f64 wj) (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))))) x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (- (+ wj (+ (* -2 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) (* -1 (/ (- (+ (* -1 (* (+ (exp wj) (* wj (exp wj))) (- (/ (* (pow wj 2) (pow (exp wj) 2)) (pow (+ (exp wj) (* wj (exp wj))) 2)) (pow wj 2)))) (* -1 (/ (* (+ (exp wj) (* wj (exp wj))) (* (- (* -1 (* (+ (exp wj) (* wj (exp wj))) (- (/ (* (pow wj 2) (pow (exp wj) 2)) (pow (+ (exp wj) (* wj (exp wj))) 2)) (pow wj 2)))) (* -1 (* (+ (exp wj) (* wj (exp wj))) (* (- (* -1 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) wj) (- (+ wj (* -2 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))) (* -1 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))))))) (- (* -1 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) wj))) x))) (* -1 (* (+ (exp wj) (* wj (exp wj))) (* (- (* -1 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) wj) (- (+ wj (* -2 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))) (* -1 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))))))) x)))) (* -1 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(*.f64 (fma.f64 (/.f64 (+.f64 wj (fma.f64 (/.f64 (-.f64 (neg.f64 (*.f64 (fma.f64 (exp.f64 wj) wj (exp.f64 wj)) (fma.f64 (*.f64 wj wj) (+.f64 (/.f64 (pow.f64 (exp.f64 wj) #s(literal 2 binary64)) (pow.f64 (fma.f64 (exp.f64 wj) wj (exp.f64 wj)) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (*.f64 (fma.f64 (/.f64 (exp.f64 wj) (+.f64 wj #s(literal 1 binary64))) (/.f64 wj (exp.f64 wj)) wj) (*.f64 (fma.f64 (exp.f64 wj) wj (exp.f64 wj)) (-.f64 (*.f64 (*.f64 wj wj) (+.f64 (/.f64 (pow.f64 (exp.f64 wj) #s(literal 2 binary64)) (pow.f64 (fma.f64 (exp.f64 wj) wj (exp.f64 wj)) #s(literal 2 binary64))) #s(literal -1 binary64))) (*.f64 (neg.f64 (fma.f64 (/.f64 (exp.f64 wj) (+.f64 wj #s(literal 1 binary64))) (/.f64 wj (exp.f64 wj)) wj)) (-.f64 wj (/.f64 (*.f64 (exp.f64 wj) wj) (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))))))) x)))) (*.f64 (*.f64 (-.f64 wj (/.f64 (*.f64 (exp.f64 wj) wj) (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) (fma.f64 (/.f64 (exp.f64 wj) (+.f64 wj #s(literal 1 binary64))) (/.f64 wj (exp.f64 wj)) wj))) x) #s(literal -1 binary64) (*.f64 (neg.f64 wj) (/.f64 (exp.f64 wj) (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))))) x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))) (neg.f64 x)) |
(/ x (+ (exp wj) (* wj (exp wj)))) |
(/.f64 x (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) |
(* -1 (* x (- (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj))))) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(*.f64 (fma.f64 (/.f64 wj (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) (/.f64 (exp.f64 wj) x) (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))) (neg.f64 x)) |
(* -1 (* x (- (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj))))) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(*.f64 (fma.f64 (/.f64 wj (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) (/.f64 (exp.f64 wj) x) (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))) (neg.f64 x)) |
(* -1 (* x (- (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj))))) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(*.f64 (fma.f64 (/.f64 wj (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) (/.f64 (exp.f64 wj) x) (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))) (neg.f64 x)) |
(/ (pow x 2) (pow (+ (exp wj) (* wj (exp wj))) 2)) |
(/.f64 (*.f64 x x) (pow.f64 (fma.f64 (exp.f64 wj) wj (exp.f64 wj)) #s(literal 2 binary64))) |
(* (pow x 2) (+ (* -2 (/ (* wj (exp wj)) (* x (pow (+ (exp wj) (* wj (exp wj))) 2)))) (/ 1 (pow (+ (exp wj) (* wj (exp wj))) 2)))) |
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (pow.f64 (fma.f64 (exp.f64 wj) wj (exp.f64 wj)) #s(literal 2 binary64))) (/.f64 (*.f64 (exp.f64 wj) wj) x) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 wj) wj (exp.f64 wj)) #s(literal 2 binary64)))) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (- (/ (* (pow wj 2) (pow (exp wj) 2)) (pow (+ (exp wj) (* wj (exp wj))) 2)) (pow wj 2)) x)) (* 2 (/ (* wj (exp wj)) (pow (+ (exp wj) (* wj (exp wj))) 2)))) x)) (/ 1 (pow (+ (exp wj) (* wj (exp wj))) 2)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 wj) wj (exp.f64 wj)) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (*.f64 (exp.f64 wj) wj) (pow.f64 (fma.f64 (exp.f64 wj) wj (exp.f64 wj)) #s(literal 2 binary64))) #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 wj wj) (+.f64 (/.f64 (pow.f64 (exp.f64 wj) #s(literal 2 binary64)) (pow.f64 (fma.f64 (exp.f64 wj) wj (exp.f64 wj)) #s(literal 2 binary64))) #s(literal -1 binary64))) (neg.f64 x))) x)) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (- (/ (* (pow wj 2) (pow (exp wj) 2)) (pow (+ (exp wj) (* wj (exp wj))) 2)) (pow wj 2)) x)) (* 2 (/ (* wj (exp wj)) (pow (+ (exp wj) (* wj (exp wj))) 2)))) x)) (/ 1 (pow (+ (exp wj) (* wj (exp wj))) 2)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 wj) wj (exp.f64 wj)) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (*.f64 (exp.f64 wj) wj) (pow.f64 (fma.f64 (exp.f64 wj) wj (exp.f64 wj)) #s(literal 2 binary64))) #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 wj wj) (+.f64 (/.f64 (pow.f64 (exp.f64 wj) #s(literal 2 binary64)) (pow.f64 (fma.f64 (exp.f64 wj) wj (exp.f64 wj)) #s(literal 2 binary64))) #s(literal -1 binary64))) (neg.f64 x))) x)) (*.f64 x x)) |
(/ (pow x 2) (pow (+ (exp wj) (* wj (exp wj))) 2)) |
(/.f64 (*.f64 x x) (pow.f64 (fma.f64 (exp.f64 wj) wj (exp.f64 wj)) #s(literal 2 binary64))) |
(* (pow x 2) (+ (* -2 (/ (* wj (exp wj)) (* x (pow (+ (exp wj) (* wj (exp wj))) 2)))) (/ 1 (pow (+ (exp wj) (* wj (exp wj))) 2)))) |
(*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (pow.f64 (fma.f64 (exp.f64 wj) wj (exp.f64 wj)) #s(literal 2 binary64))) (/.f64 (*.f64 (exp.f64 wj) wj) x) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 wj) wj (exp.f64 wj)) #s(literal 2 binary64)))) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow wj 2) (pow (exp wj) 2)) (* x (pow (+ (exp wj) (* wj (exp wj))) 2)))) (* 2 (/ (* wj (exp wj)) (pow (+ (exp wj) (* wj (exp wj))) 2)))) x)) (/ 1 (pow (+ (exp wj) (* wj (exp wj))) 2)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 wj) wj (exp.f64 wj)) #s(literal 2 binary64))) (/.f64 (fma.f64 (neg.f64 (/.f64 (*.f64 wj wj) x)) (/.f64 (pow.f64 (exp.f64 wj) #s(literal 2 binary64)) (pow.f64 (fma.f64 (exp.f64 wj) wj (exp.f64 wj)) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (exp.f64 wj) wj)) (pow.f64 (fma.f64 (exp.f64 wj) wj (exp.f64 wj)) #s(literal 2 binary64)))) x)) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow wj 2) (pow (exp wj) 2)) (* x (pow (+ (exp wj) (* wj (exp wj))) 2)))) (* 2 (/ (* wj (exp wj)) (pow (+ (exp wj) (* wj (exp wj))) 2)))) x)) (/ 1 (pow (+ (exp wj) (* wj (exp wj))) 2)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (exp.f64 wj) wj (exp.f64 wj)) #s(literal 2 binary64))) (/.f64 (fma.f64 (neg.f64 (/.f64 (*.f64 wj wj) x)) (/.f64 (pow.f64 (exp.f64 wj) #s(literal 2 binary64)) (pow.f64 (fma.f64 (exp.f64 wj) wj (exp.f64 wj)) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (exp.f64 wj) wj)) (pow.f64 (fma.f64 (exp.f64 wj) wj (exp.f64 wj)) #s(literal 2 binary64)))) x)) (*.f64 x x)) |
(* 8/3 (* wj x)) |
(*.f64 (*.f64 #s(literal 8/3 binary64) wj) x) |
(* -1 (* x (+ (* -8/3 wj) (* -1 (/ wj x))))) |
(*.f64 (fma.f64 #s(literal -8/3 binary64) wj (/.f64 wj (neg.f64 x))) (neg.f64 x)) |
(* -1 (* x (+ (* -8/3 wj) (* -1 (/ wj x))))) |
(*.f64 (fma.f64 #s(literal -8/3 binary64) wj (/.f64 wj (neg.f64 x))) (neg.f64 x)) |
(* -1 (* x (+ (* -8/3 wj) (* -1 (/ wj x))))) |
(*.f64 (fma.f64 #s(literal -8/3 binary64) wj (/.f64 wj (neg.f64 x))) (neg.f64 x)) |
(* x (+ 5/2 (* -8/3 wj))) |
(*.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) x) |
(* -1 (* x (- (* -1 (/ (- 1 wj) x)) (+ 5/2 (* -8/3 wj))))) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) wj) x) #s(literal -1 binary64) (fma.f64 #s(literal 8/3 binary64) wj #s(literal -5/2 binary64))) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (- 1 wj) x)) (+ 5/2 (* -8/3 wj))))) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) wj) x) #s(literal -1 binary64) (fma.f64 #s(literal 8/3 binary64) wj #s(literal -5/2 binary64))) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (- 1 wj) x)) (+ 5/2 (* -8/3 wj))))) |
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) wj) x) #s(literal -1 binary64) (fma.f64 #s(literal 8/3 binary64) wj #s(literal -5/2 binary64))) (neg.f64 x)) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
| 4 772× | lower-*.f32 |
| 4 764× | lower-*.f64 |
| 4 454× | lower-fma.f32 |
| 4 440× | lower-fma.f64 |
| 3 102× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 321 |
| 0 | 70 | 315 |
| 1 | 352 | 283 |
| 2 | 3053 | 283 |
| 0 | 8236 | 277 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj)) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj x) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64))) |
#s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) wj (neg.f64 x)) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) wj (neg.f64 x)))) |
#s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) wj (neg.f64 x))) |
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))) |
(/.f64 x (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) |
(fma.f64 (exp.f64 wj) wj (exp.f64 wj)) |
(exp.f64 wj) |
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) #s(literal 2 binary64)) (*.f64 wj wj)) (-.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) wj)) |
(/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) |
(-.f64 (pow.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) #s(literal 2 binary64)) (*.f64 wj wj)) |
(pow.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) #s(literal 2 binary64)) |
(*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj) |
(fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) |
(neg.f64 x) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 #s(literal 4/9 binary64) (*.f64 x x)) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 x #s(literal 2/3 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 8/27 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (*.f64 x #s(literal 2/3 binary64))))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 (*.f64 x #s(literal 2/3 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 4/9 binary64) (*.f64 x x)) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (*.f64 x #s(literal 2/3 binary64))))) (fma.f64 #s(literal 8/27 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4/9 binary64) (*.f64 x x)) (-.f64 (*.f64 x #s(literal 2/3 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))) (*.f64 (-.f64 (*.f64 x #s(literal 2/3 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 x #s(literal 2/3 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 2/3 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 8/3 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 x #s(literal 8/3 binary64)) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 4/9 binary64) (*.f64 x x))) (-.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (*.f64 x #s(literal 2/3 binary64)))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 512/27 binary64) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 x #s(literal 8/3 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 8/3 binary64)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 4/9 binary64) (*.f64 x x)) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 x #s(literal 2/3 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 8/27 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (*.f64 x #s(literal 2/3 binary64))))))) |
(/.f64 (-.f64 (*.f64 #s(literal 4/9 binary64) (*.f64 x x)) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 x #s(literal 2/3 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))) |
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(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 5/2 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (*.f64 x #s(literal 2/3 binary64)))))) (*.f64 (-.f64 (*.f64 #s(literal 5/2 binary64) x) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 8/27 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64))) wj))) (*.f64 (-.f64 (*.f64 #s(literal 5/2 binary64) x) #s(literal 1 binary64)) (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (*.f64 x #s(literal 2/3 binary64))))))) |
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 5/2 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 x #s(literal 2/3 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))) (*.f64 (-.f64 (*.f64 #s(literal 5/2 binary64) x) #s(literal 1 binary64)) (*.f64 wj (-.f64 (*.f64 #s(literal 4/9 binary64) (*.f64 x x)) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)))))) (*.f64 (-.f64 (*.f64 #s(literal 5/2 binary64) x) #s(literal 1 binary64)) (-.f64 (*.f64 x #s(literal 2/3 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 5/2 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (*.f64 x #s(literal 2/3 binary64)))))) (*.f64 (-.f64 (*.f64 #s(literal 5/2 binary64) x) #s(literal 1 binary64)) (*.f64 wj (fma.f64 #s(literal 8/27 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)))))) (*.f64 (-.f64 (*.f64 #s(literal 5/2 binary64) x) #s(literal 1 binary64)) (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (*.f64 x #s(literal 2/3 binary64))))))) |
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 125/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 x #s(literal 2/3 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))) (*.f64 (fma.f64 #s(literal 25/4 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 5/2 binary64) x) #s(literal 1 binary64)))) (*.f64 (-.f64 (*.f64 #s(literal 4/9 binary64) (*.f64 x x)) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64))) wj))) (*.f64 (fma.f64 #s(literal 25/4 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 5/2 binary64) x) #s(literal 1 binary64)))) (-.f64 (*.f64 x #s(literal 2/3 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 125/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (*.f64 x #s(literal 2/3 binary64)))))) (*.f64 (fma.f64 #s(literal 25/4 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 5/2 binary64) x) #s(literal 1 binary64)))) (*.f64 (fma.f64 #s(literal 8/27 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64))) wj))) (*.f64 (fma.f64 #s(literal 25/4 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 5/2 binary64) x) #s(literal 1 binary64)))) (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (*.f64 x #s(literal 2/3 binary64))))))) |
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 125/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 x #s(literal 2/3 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))) (*.f64 (fma.f64 #s(literal 25/4 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 5/2 binary64) x) #s(literal 1 binary64)))) (*.f64 wj (-.f64 (*.f64 #s(literal 4/9 binary64) (*.f64 x x)) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)))))) (*.f64 (fma.f64 #s(literal 25/4 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 5/2 binary64) x) #s(literal 1 binary64)))) (-.f64 (*.f64 x #s(literal 2/3 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 125/8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (*.f64 x #s(literal 2/3 binary64)))))) (*.f64 (fma.f64 #s(literal 25/4 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 5/2 binary64) x) #s(literal 1 binary64)))) (*.f64 wj (fma.f64 #s(literal 8/27 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)))))) (*.f64 (fma.f64 #s(literal 25/4 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 5/2 binary64) x) #s(literal 1 binary64)))) (fma.f64 #s(literal 4/9 binary64) (*.f64 x x) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (*.f64 x #s(literal 2/3 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 5/2 binary64) x) #s(literal 2 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)))) (*.f64 #s(literal 5/2 binary64) x))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 5/2 binary64) x) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 5/2 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 125/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 25/4 binary64) (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)))) (*.f64 #s(literal 5/2 binary64) x)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 5/2 binary64) x) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 5/2 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)))))) |
(/.f64 (fma.f64 #s(literal 125/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 5/2 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 5/2 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)))))))) |
(/.f64 (fma.f64 #s(literal 125/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 #s(literal 25/4 binary64) (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)))) (*.f64 #s(literal 5/2 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 5/2 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) (-.f64 (pow.f64 (*.f64 #s(literal 5/2 binary64) x) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 25/4 binary64) (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)))) (*.f64 #s(literal 5/2 binary64) x)))) (fma.f64 #s(literal 125/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)))) #s(literal 3 binary64))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))) #s(literal 2 binary64))) (pow.f64 (fma.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 5/2 binary64) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))) (fma.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 5/2 binary64) x)) |
(fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) |
(fma.f64 x #s(literal 5/2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 5/2 binary64) x) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 5/2 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)))))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 5/2 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))))) |
(-.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) (-.f64 (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))) (*.f64 #s(literal 5/2 binary64) x))) |
(+.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) (*.f64 (neg.f64 wj) (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)))) |
(+.f64 (*.f64 #s(literal 5/2 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) |
(+.f64 (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)))) (*.f64 #s(literal 5/2 binary64) x)) |
(+.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))) wj (*.f64 #s(literal 5/2 binary64) x))) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 x #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) |
(neg.f64 x) |
(-.f64 #s(literal 0 binary64) x) |
(+.f64 #s(literal 0 binary64) (neg.f64 x)) |
Compiled 46 472 to 4 208 computations (90.9% saved)
27 alts after pruning (26 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 270 | 22 | 1 292 |
| Fresh | 7 | 4 | 11 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 281 | 27 | 1 308 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 75.6% | (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) (-.f64 (*.f64 (exp.f64 wj) wj) x) wj) |
| 51.2% | (/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) #s(literal 2 binary64)) (*.f64 wj wj)) (-.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) wj #s(literal 3/2 binary64)) wj #s(literal 2 binary64)) wj #s(literal 1 binary64)))) wj)) | |
| 50.7% | (/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) #s(literal 2 binary64)) (*.f64 wj wj)) (-.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 (fma.f64 #s(literal 3/2 binary64) wj #s(literal 2 binary64)) wj #s(literal 1 binary64)))) wj)) | |
| 50.7% | (/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) #s(literal 2 binary64)) (*.f64 wj wj)) (-.f64 (/.f64 (-.f64 x (*.f64 #s(approx (exp wj) (fma.f64 (fma.f64 #s(literal 1/2 binary64) wj #s(literal 1 binary64)) wj #s(literal 1 binary64))) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) wj)) | |
| 50.7% | (/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) #s(literal 2 binary64)) (*.f64 wj wj)) (-.f64 #s(approx (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) (fma.f64 (fma.f64 (neg.f64 (fma.f64 (+.f64 (+.f64 #s(literal -3/2 binary64) (*.f64 (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal -5/2 binary64))) #s(literal -2 binary64))) (fma.f64 x #s(literal 2/3 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -3/2 binary64)))) wj (+.f64 (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal -5/2 binary64))) #s(literal 1 binary64)))) wj (fma.f64 #s(literal -2 binary64) x #s(literal -1 binary64))) wj x)) wj)) | |
| 22.3% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) wj) (*.f64 wj wj))) (*.f64 (/.f64 (-.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) wj) (pow.f64 (/.f64 (fma.f64 (exp.f64 wj) wj (exp.f64 wj)) (-.f64 x (*.f64 (exp.f64 wj) wj))) #s(literal -2 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 (-.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) wj) (pow.f64 (/.f64 (fma.f64 (exp.f64 wj) wj (exp.f64 wj)) (-.f64 x (*.f64 (exp.f64 wj) wj))) #s(literal -2 binary64))) (/.f64 (-.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) wj) (*.f64 wj wj)))) | |
| 72.1% | (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (fma.f64 #s(approx (+ (* 2 x) 1) #s(literal 1 binary64)) wj (neg.f64 x)))) | |
| 7.2% | (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))) | |
| ▶ | 70.8% | (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x))) |
| ✓ | 4.5% | (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64))) |
| ▶ | 4.5% | #s(approx (/ (- (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* wj wj)) (- (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) wj)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) wj)) wj)) |
| 94.9% | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj x)) | |
| 80.4% | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (*.f64 wj x) #s(literal -2 binary64) x)) | |
| 60.8% | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) wj (*.f64 #s(literal -2 binary64) x)) wj) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) wj (*.f64 #s(literal -2 binary64) x)) wj (neg.f64 x)))) | |
| 82.6% | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x (*.f64 (+.f64 wj #s(literal 1 binary64)) (exp.f64 wj)))) | |
| 80.7% | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) wj #s(literal 3/2 binary64)) wj #s(literal 2 binary64)) wj #s(literal 1 binary64))))) | |
| 80.6% | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 (fma.f64 #s(literal 3/2 binary64) wj #s(literal 2 binary64)) wj #s(literal 1 binary64))))) | |
| 80.4% | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 #s(literal 2 binary64) wj #s(literal 1 binary64))))) | |
| ▶ | 5.4% | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (*.f64 (exp.f64 wj) wj)))) |
| 60.7% | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) wj (*.f64 #s(literal -2 binary64) x)) wj (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) wj (*.f64 #s(literal -2 binary64) x)) wj) #s(literal 2 binary64)) (*.f64 x x))))) | |
| 75.6% | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) (/.f64 wj x)) (*.f64 (/.f64 wj (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) (/.f64 (exp.f64 wj) x))) x)) | |
| 81.1% | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (*.f64 (exp.f64 (*.f64 (+.f64 (log1p.f64 wj) wj) #s(literal -1 binary64))) x)) | |
| 80.5% | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (/ x (+ (* (exp wj) wj) (exp wj))) (fma.f64 (fma.f64 (*.f64 #s(literal 5/2 binary64) x) wj (*.f64 #s(literal -2 binary64) x)) wj x))) | |
| 80.7% | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (fma.f64 (*.f64 x wj) (fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) x))) | |
| ▶ | 95.1% | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) wj (fma.f64 (*.f64 wj wj) (/.f64 (-.f64 #s(literal 1 binary64) wj) x) #s(literal 1 binary64))) x))) |
| 17.0% | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) wj) wj) wj))) | |
| 16.2% | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj) #s(literal -1 binary64) (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)))) (pow.f64 wj #s(literal 3 binary64))))) |
Compiled 1 226 to 683 computations (44.3% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (exp.f64 wj) | |
| cost-diff | 0 | (fma.f64 (exp.f64 wj) wj (exp.f64 wj)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) | |
| cost-diff | 12800 | (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) (-.f64 (*.f64 (exp.f64 wj) wj) x) wj) | |
| cost-diff | 0 | (*.f64 (exp.f64 wj) wj) | |
| cost-diff | 0 | #s(approx (+ (* (exp wj) wj) (exp wj)) (*.f64 (exp.f64 wj) wj)) | |
| cost-diff | 0 | (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (*.f64 (exp.f64 wj) wj))) | |
| cost-diff | 0 | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (*.f64 (exp.f64 wj) wj)))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) wj) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) wj)) | |
| cost-diff | 0 | #s(approx (/ (- (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* wj wj)) (- (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) wj)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) wj)) wj)) | |
| cost-diff | 1024 | (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) wj)) wj) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x)) | |
| cost-diff | 0 | (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x))) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) wj (fma.f64 (*.f64 wj wj) (/.f64 (-.f64 #s(literal 1 binary64) wj) x) #s(literal 1 binary64))) x) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) wj (fma.f64 (*.f64 wj wj) (/.f64 (-.f64 #s(literal 1 binary64) wj) x) #s(literal 1 binary64))) x)) | |
| cost-diff | 0 | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) wj (fma.f64 (*.f64 wj wj) (/.f64 (-.f64 #s(literal 1 binary64) wj) x) #s(literal 1 binary64))) x))) | |
| cost-diff | 512 | (fma.f64 (fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) wj (fma.f64 (*.f64 wj wj) (/.f64 (-.f64 #s(literal 1 binary64) wj) x) #s(literal 1 binary64))) |
| 13 128× | lower-fma.f32 |
| 13 116× | lower-fma.f64 |
| 4 244× | lower-*.f32 |
| 4 236× | lower-*.f64 |
| 1 976× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 400 |
| 0 | 93 | 396 |
| 1 | 179 | 387 |
| 2 | 398 | 385 |
| 3 | 1333 | 339 |
| 4 | 5952 | 337 |
| 0 | 8275 | 319 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) wj (fma.f64 (*.f64 wj wj) (/.f64 (-.f64 #s(literal 1 binary64) wj) x) #s(literal 1 binary64))) x))) |
#s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) wj (fma.f64 (*.f64 wj wj) (/.f64 (-.f64 #s(literal 1 binary64) wj) x) #s(literal 1 binary64))) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) wj (fma.f64 (*.f64 wj wj) (/.f64 (-.f64 #s(literal 1 binary64) wj) x) #s(literal 1 binary64))) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) wj (fma.f64 (*.f64 wj wj) (/.f64 (-.f64 #s(literal 1 binary64) wj) x) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) |
(fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) |
#s(literal -8/3 binary64) |
wj |
#s(literal 5/2 binary64) |
#s(literal -2 binary64) |
(fma.f64 (*.f64 wj wj) (/.f64 (-.f64 #s(literal 1 binary64) wj) x) #s(literal 1 binary64)) |
(*.f64 wj wj) |
(/.f64 (-.f64 #s(literal 1 binary64) wj) x) |
(-.f64 #s(literal 1 binary64) wj) |
#s(literal 1 binary64) |
x |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x))) |
wj |
#s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x)) |
(neg.f64 x) |
x |
#s(approx (/ (- (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* wj wj)) (- (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) wj)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) wj)) wj)) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) wj)) wj) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) wj)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) wj) |
wj |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (*.f64 (exp.f64 wj) wj)))) |
(/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (*.f64 (exp.f64 wj) wj))) |
x |
#s(approx (+ (* (exp wj) wj) (exp wj)) (*.f64 (exp.f64 wj) wj)) |
(*.f64 (exp.f64 wj) wj) |
(exp.f64 wj) |
wj |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) (-.f64 (*.f64 (exp.f64 wj) wj) x) wj) |
(/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) |
#s(literal -1 binary64) |
(fma.f64 (exp.f64 wj) wj (exp.f64 wj)) |
(exp.f64 wj) |
wj |
(-.f64 (*.f64 (exp.f64 wj) wj) x) |
(*.f64 (exp.f64 wj) wj) |
x |
| Outputs |
|---|
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) wj (fma.f64 (*.f64 wj wj) (/.f64 (-.f64 #s(literal 1 binary64) wj) x) #s(literal 1 binary64))) x))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (fma.f64 (*.f64 x wj) (fma.f64 wj (+.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) wj) x)) #s(literal -2 binary64)) x))) |
#s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) wj (fma.f64 (*.f64 wj wj) (/.f64 (-.f64 #s(literal 1 binary64) wj) x) #s(literal 1 binary64))) x)) |
#s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (fma.f64 (*.f64 x wj) (fma.f64 wj (+.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) wj) x)) #s(literal -2 binary64)) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) wj (fma.f64 (*.f64 wj wj) (/.f64 (-.f64 #s(literal 1 binary64) wj) x) #s(literal 1 binary64))) x) |
(fma.f64 (*.f64 x wj) (fma.f64 wj (+.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) wj) x)) #s(literal -2 binary64)) x) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) wj (fma.f64 (*.f64 wj wj) (/.f64 (-.f64 #s(literal 1 binary64) wj) x) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 wj (+.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) wj) x)) #s(literal -2 binary64)) wj #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) |
(fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) |
#s(literal -8/3 binary64) |
wj |
#s(literal 5/2 binary64) |
#s(literal -2 binary64) |
(fma.f64 (*.f64 wj wj) (/.f64 (-.f64 #s(literal 1 binary64) wj) x) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) wj) x) (*.f64 wj wj) #s(literal 1 binary64)) |
(*.f64 wj wj) |
(/.f64 (-.f64 #s(literal 1 binary64) wj) x) |
(-.f64 #s(literal 1 binary64) wj) |
#s(literal 1 binary64) |
x |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x))) |
wj |
#s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x)) |
(neg.f64 x) |
x |
#s(approx (/ (- (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* wj wj)) (- (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) wj)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) wj)) wj)) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (-.f64 wj #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) wj)) wj) |
(-.f64 wj #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) wj)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) wj) |
wj |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (*.f64 (exp.f64 wj) wj)))) |
(/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (*.f64 (exp.f64 wj) wj))) |
x |
#s(approx (+ (* (exp wj) wj) (exp wj)) (*.f64 (exp.f64 wj) wj)) |
(*.f64 (exp.f64 wj) wj) |
(exp.f64 wj) |
wj |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) (-.f64 (*.f64 (exp.f64 wj) wj) x) wj) |
(-.f64 wj (/.f64 (-.f64 wj (/.f64 x (exp.f64 wj))) (+.f64 #s(literal 1 binary64) wj))) |
(/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) |
#s(literal -1 binary64) |
(fma.f64 (exp.f64 wj) wj (exp.f64 wj)) |
(exp.f64 wj) |
wj |
(-.f64 (*.f64 (exp.f64 wj) wj) x) |
(fma.f64 (exp.f64 wj) wj (neg.f64 x)) |
(*.f64 (exp.f64 wj) wj) |
x |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01171875 | (*.f64 (exp.f64 wj) wj) | |
| accuracy | 0.015625 | (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) | |
| accuracy | 0.01953125 | (fma.f64 (exp.f64 wj) wj (exp.f64 wj)) | |
| accuracy | 14.58507763130847 | (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) (-.f64 (*.f64 (exp.f64 wj) wj) x) wj) | |
| accuracy | 0.0078125 | (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (*.f64 (exp.f64 wj) wj))) | |
| accuracy | 0.01171875 | (*.f64 (exp.f64 wj) wj) | |
| accuracy | 11.093125377676827 | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (*.f64 (exp.f64 wj) wj)))) | |
| accuracy | 59.41794444556961 | #s(approx (+ (* (exp wj) wj) (exp wj)) (*.f64 (exp.f64 wj) wj)) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) wj) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) wj)) | |
| accuracy | 0.19140625 | (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) wj)) wj) | |
| accuracy | 61.14131182611052 | #s(approx (/ (- (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* wj wj)) (- (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) wj)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) wj)) wj)) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 13.596065602757193 | (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x))) | |
| accuracy | 19.040116533334196 | #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x)) | |
| accuracy | 0.01953125 | (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) | |
| accuracy | 0.078125 | (fma.f64 (*.f64 wj wj) (/.f64 (-.f64 #s(literal 1 binary64) wj) x) #s(literal 1 binary64)) | |
| accuracy | 0.31221928687642075 | (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) wj (fma.f64 (*.f64 wj wj) (/.f64 (-.f64 #s(literal 1 binary64) wj) x) #s(literal 1 binary64))) x) | |
| accuracy | 3.0837640937944184 | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) wj (fma.f64 (*.f64 wj wj) (/.f64 (-.f64 #s(literal 1 binary64) wj) x) #s(literal 1 binary64))) x))) |
| 88.0ms | 200× | 0 | valid |
| 55.0ms | 56× | 1 | valid |
Compiled 312 to 59 computations (81.1% saved)
ival-mult: 30.0ms (28.8% of total)ival-sub: 21.0ms (20.1% of total)ival-add: 15.0ms (14.4% of total)ival-div: 14.0ms (13.4% of total)adjust: 7.0ms (6.7% of total)const: 7.0ms (6.7% of total)ival-exp: 4.0ms (3.8% of total)ival-pow2: 3.0ms (2.9% of total)exact: 1.0ms (1% of total)ival-neg: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) wj (fma.f64 (*.f64 wj wj) (/.f64 (-.f64 #s(literal 1 binary64) wj) x) #s(literal 1 binary64))) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) wj (fma.f64 (*.f64 wj wj) (/.f64 (-.f64 #s(literal 1 binary64) wj) x) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) wj (fma.f64 (*.f64 wj wj) (/.f64 (-.f64 #s(literal 1 binary64) wj) x) #s(literal 1 binary64))) x))) (patch #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) wj (fma.f64 (*.f64 wj wj) (/.f64 (-.f64 #s(literal 1 binary64) wj) x) #s(literal 1 binary64))) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) wj (fma.f64 (*.f64 wj wj) (/.f64 (-.f64 #s(literal 1 binary64) wj) x) #s(literal 1 binary64))) x)) (patch #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) wj (fma.f64 (*.f64 wj wj) (/.f64 (-.f64 #s(literal 1 binary64) wj) x) #s(literal 1 binary64))) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) wj (fma.f64 (*.f64 wj wj) (/.f64 (-.f64 #s(literal 1 binary64) wj) x) #s(literal 1 binary64))) x) (patch (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) wj (fma.f64 (*.f64 wj wj) (/.f64 (-.f64 #s(literal 1 binary64) wj) x) #s(literal 1 binary64))) x) #<representation binary64>) () ()) |
#s(alt (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x))) (patch (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x)) (patch #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) wj)) wj) (patch (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) wj)) wj) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* wj wj)) (- (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) wj)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) wj)) wj)) (patch #s(approx (/ (- (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* wj wj)) (- (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) wj)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) wj)) wj)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) wj)) (patch (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) wj)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) wj) (patch (/.f64 #s(literal 1 binary64) wj) #<representation binary64>) () ()) |
#s(alt #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (*.f64 (exp.f64 wj) wj)))) (patch #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (*.f64 (exp.f64 wj) wj)))) #<representation binary64>) () ()) |
#s(alt (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (*.f64 (exp.f64 wj) wj))) (patch (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (*.f64 (exp.f64 wj) wj))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (exp wj) wj) (exp wj)) (*.f64 (exp.f64 wj) wj)) (patch #s(approx (+ (* (exp wj) wj) (exp wj)) (*.f64 (exp.f64 wj) wj)) #<representation binary64>) () ()) |
#s(alt (*.f64 (exp.f64 wj) wj) (patch (*.f64 (exp.f64 wj) wj) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) (-.f64 (*.f64 (exp.f64 wj) wj) x) wj) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) (-.f64 (*.f64 (exp.f64 wj) wj) x) wj) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (exp.f64 wj) wj (exp.f64 wj)) (patch (fma.f64 (exp.f64 wj) wj (exp.f64 wj)) #<representation binary64>) () ()) |
#s(alt (exp.f64 wj) (patch (exp.f64 wj) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 wj wj) (/.f64 (-.f64 #s(literal 1 binary64) wj) x) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 wj wj) (/.f64 (-.f64 #s(literal 1 binary64) wj) x) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) (patch (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1 (taylor 0 wj) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) wj (fma.f64 (*.f64 wj wj) (/.f64 (-.f64 #s(literal 1 binary64) wj) x) #s(literal 1 binary64))) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) wj (fma.f64 (*.f64 wj wj) (/.f64 (-.f64 #s(literal 1 binary64) wj) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -2 wj)) (taylor 0 wj) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) wj (fma.f64 (*.f64 wj wj) (/.f64 (-.f64 #s(literal 1 binary64) wj) x) #s(literal 1 binary64))) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) wj (fma.f64 (*.f64 wj wj) (/.f64 (-.f64 #s(literal 1 binary64) wj) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* wj (- (* wj (+ 5/2 (/ 1 x))) 2))) (taylor 0 wj) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) wj (fma.f64 (*.f64 wj wj) (/.f64 (-.f64 #s(literal 1 binary64) wj) x) #s(literal 1 binary64))) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) wj (fma.f64 (*.f64 wj wj) (/.f64 (-.f64 #s(literal 1 binary64) wj) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* wj (- (* wj (+ 5/2 (+ (* -1 (* wj (+ 8/3 (/ 1 x)))) (/ 1 x)))) 2))) (taylor 0 wj) (#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) wj (fma.f64 (*.f64 wj wj) (/.f64 (-.f64 #s(literal 1 binary64) wj) x) #s(literal 1 binary64))) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) wj (fma.f64 (*.f64 wj wj) (/.f64 (-.f64 #s(literal 1 binary64) wj) x) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 wj) (#s(alt #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) wj (fma.f64 (*.f64 wj wj) (/.f64 (-.f64 #s(literal 1 binary64) wj) x) #s(literal 1 binary64))) x))) (patch #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) wj (fma.f64 (*.f64 wj wj) (/.f64 (-.f64 #s(literal 1 binary64) wj) x) #s(literal 1 binary64))) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -2 (* wj x))) (taylor 0 wj) (#s(alt #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) wj (fma.f64 (*.f64 wj wj) (/.f64 (-.f64 #s(literal 1 binary64) wj) x) #s(literal 1 binary64))) x))) (patch #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) wj (fma.f64 (*.f64 wj wj) (/.f64 (-.f64 #s(literal 1 binary64) wj) x) #s(literal 1 binary64))) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* wj (- (* wj (- 1 (+ (* -4 x) (* 3/2 x)))) (* 2 x)))) (taylor 0 wj) (#s(alt #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) wj (fma.f64 (*.f64 wj wj) (/.f64 (-.f64 #s(literal 1 binary64) wj) x) #s(literal 1 binary64))) x))) (patch #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) wj (fma.f64 (*.f64 wj wj) (/.f64 (-.f64 #s(literal 1 binary64) wj) x) #s(literal 1 binary64))) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* wj (- (* wj (- (+ 1 (* -1 (* wj (+ 1 (+ (* -3 x) (+ (* -2 (+ (* -4 x) (* 3/2 x))) (* 2/3 x))))))) (+ (* -4 x) (* 3/2 x)))) (* 2 x)))) (taylor 0 wj) (#s(alt #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) wj (fma.f64 (*.f64 wj wj) (/.f64 (-.f64 #s(literal 1 binary64) wj) x) #s(literal 1 binary64))) x))) (patch #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) wj (fma.f64 (*.f64 wj wj) (/.f64 (-.f64 #s(literal 1 binary64) wj) x) #s(literal 1 binary64))) x))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 wj) (#s(alt #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) wj (fma.f64 (*.f64 wj wj) (/.f64 (-.f64 #s(literal 1 binary64) wj) x) #s(literal 1 binary64))) x)) (patch #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) wj (fma.f64 (*.f64 wj wj) (/.f64 (-.f64 #s(literal 1 binary64) wj) x) #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -2 (* wj x))) (taylor 0 wj) (#s(alt #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) wj (fma.f64 (*.f64 wj wj) (/.f64 (-.f64 #s(literal 1 binary64) wj) x) #s(literal 1 binary64))) x)) (patch #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) wj (fma.f64 (*.f64 wj wj) (/.f64 (-.f64 #s(literal 1 binary64) wj) x) #s(literal 1 binary64))) x)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj))))))) (taylor -inf x) (#s(alt #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x)) (patch #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj))))))) (taylor -inf x) (#s(alt #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x)) (patch #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ (exp wj) (* wj (exp wj)))) (taylor -inf x) (#s(alt #s(approx (/ (- (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* wj wj)) (- (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) wj)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) wj)) wj)) (patch #s(approx (/ (- (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* wj wj)) (- (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) wj)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) wj)) wj)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (+ wj (* -2 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))) (* -1 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) (taylor -inf x) (#s(alt #s(approx (/ (- (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* wj wj)) (- (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) wj)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) wj)) wj)) (patch #s(approx (/ (- (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* wj wj)) (- (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) wj)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) wj)) wj)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (+ wj (+ (* -2 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) (* -1 (/ (- (* -1 (* (+ (exp wj) (* wj (exp wj))) (- (/ (* (pow wj 2) (pow (exp wj) 2)) (pow (+ (exp wj) (* wj (exp wj))) 2)) (pow wj 2)))) (* -1 (* (+ (exp wj) (* wj (exp wj))) (* (- (* -1 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) wj) (- (+ wj (* -2 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))) (* -1 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))))))) x)))) (* -1 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) (taylor -inf x) (#s(alt #s(approx (/ (- (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* wj wj)) (- (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) wj)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) wj)) wj)) (patch #s(approx (/ (- (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* wj wj)) (- (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) wj)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) wj)) wj)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- (+ wj (+ (* -2 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) (* -1 (/ (- (+ (* -1 (* (+ (exp wj) (* wj (exp wj))) (- (/ (* (pow wj 2) (pow (exp wj) 2)) (pow (+ (exp wj) (* wj (exp wj))) 2)) (pow wj 2)))) (* -1 (/ (* (+ (exp wj) (* wj (exp wj))) (* (- (* -1 (* (+ (exp wj) (* wj (exp wj))) (- (/ (* (pow wj 2) (pow (exp wj) 2)) (pow (+ (exp wj) (* wj (exp wj))) 2)) (pow wj 2)))) (* -1 (* (+ (exp wj) (* wj (exp wj))) (* (- (* -1 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) wj) (- (+ wj (* -2 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))) (* -1 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))))))) (- (* -1 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) wj))) x))) (* -1 (* (+ (exp wj) (* wj (exp wj))) (* (- (* -1 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) wj) (- (+ wj (* -2 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))) (* -1 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))))))) x)))) (* -1 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) (taylor -inf x) (#s(alt #s(approx (/ (- (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* wj wj)) (- (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) wj)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) wj)) wj)) (patch #s(approx (/ (- (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* wj wj)) (- (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) wj)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) wj)) wj)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ (exp wj) (* wj (exp wj)))) (taylor -inf x) (#s(alt #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (*.f64 (exp.f64 wj) wj)))) (patch #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (*.f64 (exp.f64 wj) wj)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) (taylor -inf x) (#s(alt #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (*.f64 (exp.f64 wj) wj)))) (patch #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (*.f64 (exp.f64 wj) wj)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) (taylor -inf x) (#s(alt #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (*.f64 (exp.f64 wj) wj)))) (patch #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (*.f64 (exp.f64 wj) wj)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) (taylor -inf x) (#s(alt #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (*.f64 (exp.f64 wj) wj)))) (patch #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (*.f64 (exp.f64 wj) wj)))) #<representation binary64>) () ())) ()) |
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#s(alt (/ x (+ (exp wj) (* wj (exp wj)))) (taylor -inf x) (#s(alt (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (*.f64 (exp.f64 wj) wj))) (patch (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (*.f64 (exp.f64 wj) wj))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ (exp wj) (* wj (exp wj)))) (taylor -inf x) (#s(alt (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (*.f64 (exp.f64 wj) wj))) (patch (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (*.f64 (exp.f64 wj) wj))) #<representation binary64>) () ())) ()) |
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#s(alt (/ x (+ (exp wj) (* wj (exp wj)))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) (-.f64 (*.f64 (exp.f64 wj) wj) x) wj) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) (-.f64 (*.f64 (exp.f64 wj) wj) x) wj) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (* -1 (/ (+ wj (* -1 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) (-.f64 (*.f64 (exp.f64 wj) wj) x) wj) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) (-.f64 (*.f64 (exp.f64 wj) wj) x) wj) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (+ wj (* -1 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) (-.f64 (*.f64 (exp.f64 wj) wj) x) wj) (patch (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) (-.f64 (*.f64 (exp.f64 wj) wj) x) wj) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor -inf x) (#s(alt (fma.f64 (*.f64 wj wj) (/.f64 (-.f64 #s(literal 1 binary64) wj) x) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 wj wj) (/.f64 (-.f64 #s(literal 1 binary64) wj) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (/ (* (pow wj 2) (- 1 wj)) x)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 wj wj) (/.f64 (-.f64 #s(literal 1 binary64) wj) x) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 wj wj) (/.f64 (-.f64 #s(literal 1 binary64) wj) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (/ (* (pow wj 2) (- 1 wj)) x)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 wj wj) (/.f64 (-.f64 #s(literal 1 binary64) wj) x) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 wj wj) (/.f64 (-.f64 #s(literal 1 binary64) wj) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (/ (* (pow wj 2) (- 1 wj)) x)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 wj wj) (/.f64 (-.f64 #s(literal 1 binary64) wj) x) #s(literal 1 binary64)) (patch (fma.f64 (*.f64 wj wj) (/.f64 (-.f64 #s(literal 1 binary64) wj) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | inf | ((+ (* (+ (* (+ (* -8/3 wj) 5/2) wj) -2) wj) (+ (* (* wj wj) (/ (- 1 wj) x)) 1)) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (* (+ (* (+ (* (+ (* -8/3 wj) 5/2) wj) -2) wj) (+ (* (* wj wj) (/ (- 1 wj) x)) 1)) x) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg x) (* (- 1 (/ 1 wj)) wj) (/ (- (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* wj wj)) (- (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) wj)) (- 1 (/ 1 wj)) (/ 1 wj) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ x (+ (* (exp wj) wj) (exp wj))) (+ (* (exp wj) wj) (exp wj)) (* (exp wj) wj) (+ (* (/ -1 (+ (* (exp wj) wj) (exp wj))) (- (* (exp wj) wj) x)) wj) (/ -1 (+ (* (exp wj) wj) (exp wj))) (+ (* (exp wj) wj) (exp wj)) (exp wj) (+ (* (* wj wj) (/ (- 1 wj) x)) 1) (+ (* -8/3 wj) 5/2)) |
| 6.0ms | wj | @ | inf | ((+ (* (+ (* (+ (* -8/3 wj) 5/2) wj) -2) wj) (+ (* (* wj wj) (/ (- 1 wj) x)) 1)) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (* (+ (* (+ (* (+ (* -8/3 wj) 5/2) wj) -2) wj) (+ (* (* wj wj) (/ (- 1 wj) x)) 1)) x) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg x) (* (- 1 (/ 1 wj)) wj) (/ (- (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* wj wj)) (- (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) wj)) (- 1 (/ 1 wj)) (/ 1 wj) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ x (+ (* (exp wj) wj) (exp wj))) (+ (* (exp wj) wj) (exp wj)) (* (exp wj) wj) (+ (* (/ -1 (+ (* (exp wj) wj) (exp wj))) (- (* (exp wj) wj) x)) wj) (/ -1 (+ (* (exp wj) wj) (exp wj))) (+ (* (exp wj) wj) (exp wj)) (exp wj) (+ (* (* wj wj) (/ (- 1 wj) x)) 1) (+ (* -8/3 wj) 5/2)) |
| 3.0ms | x | @ | 0 | ((+ (* (+ (* (+ (* -8/3 wj) 5/2) wj) -2) wj) (+ (* (* wj wj) (/ (- 1 wj) x)) 1)) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (* (+ (* (+ (* (+ (* -8/3 wj) 5/2) wj) -2) wj) (+ (* (* wj wj) (/ (- 1 wj) x)) 1)) x) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg x) (* (- 1 (/ 1 wj)) wj) (/ (- (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* wj wj)) (- (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) wj)) (- 1 (/ 1 wj)) (/ 1 wj) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ x (+ (* (exp wj) wj) (exp wj))) (+ (* (exp wj) wj) (exp wj)) (* (exp wj) wj) (+ (* (/ -1 (+ (* (exp wj) wj) (exp wj))) (- (* (exp wj) wj) x)) wj) (/ -1 (+ (* (exp wj) wj) (exp wj))) (+ (* (exp wj) wj) (exp wj)) (exp wj) (+ (* (* wj wj) (/ (- 1 wj) x)) 1) (+ (* -8/3 wj) 5/2)) |
| 3.0ms | x | @ | -inf | ((+ (* (+ (* (+ (* -8/3 wj) 5/2) wj) -2) wj) (+ (* (* wj wj) (/ (- 1 wj) x)) 1)) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (* (+ (* (+ (* (+ (* -8/3 wj) 5/2) wj) -2) wj) (+ (* (* wj wj) (/ (- 1 wj) x)) 1)) x) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg x) (* (- 1 (/ 1 wj)) wj) (/ (- (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* wj wj)) (- (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) wj)) (- 1 (/ 1 wj)) (/ 1 wj) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ x (+ (* (exp wj) wj) (exp wj))) (+ (* (exp wj) wj) (exp wj)) (* (exp wj) wj) (+ (* (/ -1 (+ (* (exp wj) wj) (exp wj))) (- (* (exp wj) wj) x)) wj) (/ -1 (+ (* (exp wj) wj) (exp wj))) (+ (* (exp wj) wj) (exp wj)) (exp wj) (+ (* (* wj wj) (/ (- 1 wj) x)) 1) (+ (* -8/3 wj) 5/2)) |
| 3.0ms | wj | @ | -inf | ((+ (* (+ (* (+ (* -8/3 wj) 5/2) wj) -2) wj) (+ (* (* wj wj) (/ (- 1 wj) x)) 1)) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (* (+ (* (+ (* (+ (* -8/3 wj) 5/2) wj) -2) wj) (+ (* (* wj wj) (/ (- 1 wj) x)) 1)) x) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg x) (* (- 1 (/ 1 wj)) wj) (/ (- (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* wj wj)) (- (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) wj)) (- 1 (/ 1 wj)) (/ 1 wj) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ x (+ (* (exp wj) wj) (exp wj))) (+ (* (exp wj) wj) (exp wj)) (* (exp wj) wj) (+ (* (/ -1 (+ (* (exp wj) wj) (exp wj))) (- (* (exp wj) wj) x)) wj) (/ -1 (+ (* (exp wj) wj) (exp wj))) (+ (* (exp wj) wj) (exp wj)) (exp wj) (+ (* (* wj wj) (/ (- 1 wj) x)) 1) (+ (* -8/3 wj) 5/2)) |
| 1× | egg-herbie |
| 9 156× | lower-fma.f64 |
| 9 156× | lower-fma.f32 |
| 5 912× | lower-*.f64 |
| 5 912× | lower-*.f32 |
| 5 602× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 777 | 7144 |
| 1 | 2587 | 6798 |
| 0 | 8623 | 6422 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* -2 wj)) |
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(+ 1 (* wj (- (* wj (+ 5/2 (+ (* -1 (* wj (+ 8/3 (/ 1 x)))) (/ 1 x)))) 2))) |
x |
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(+ x (* wj (- (* wj (- (+ 1 (* -1 (* wj (+ 1 (+ (* -3 x) (+ (* -2 (+ (* -4 x) (* 3/2 x))) (* 2/3 x))))))) (+ (* -4 x) (* 3/2 x)))) (* 2 x)))) |
x |
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(+ x (* wj (+ (* -2 x) (* wj (+ 1 (* 5/2 x)))))) |
(+ x (* wj (+ (* -2 x) (* wj (+ 1 (+ (* -1 (* wj (+ 1 (+ (* 2/3 x) (* 2 x))))) (* 5/2 x))))))) |
x |
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(+ x (* wj (+ (* -2 x) (* wj (+ (* -1 (* wj (* x (+ 8/3 (/ 1 x))))) (* x (+ 5/2 (/ 1 x)))))))) |
x |
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(* -1 x) |
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-1 |
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(- wj 1) |
(- wj 1) |
x |
(+ x (* -1 (* wj (+ 2 (+ (* -1 (+ 2 (* 2 x))) (* 4 x)))))) |
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(+ x (* wj (- (* wj (- (+ (* -4 x) (+ (* 3/2 x) (* wj (- (* 2 (/ 1 x)) (+ 1 (+ (* -1 (+ 1 (+ (* -3 x) (+ (* -2 (+ (* -4 x) (* 3/2 x))) (* 2/3 x))))) (+ (* -1 (/ (* (+ 2 (* 2 x)) (- (+ (* -4 x) (* 3/2 x)) (+ 3 (+ (* 4 (/ (- (* -2 x) (* 4 (pow x 2))) x)) (+ (* 7 x) (/ (* (+ 2 (* 2 x)) (+ 2 (+ (* -1 (+ 2 (* 2 x))) (* 4 x)))) x)))))) x)) (+ (* -1 (/ (* (+ 2 (+ (* -1 (+ 2 (* 2 x))) (* 4 x))) (- 1 (+ (* -4 x) (* 3/2 x)))) x)) (+ (* 4 (/ (- (+ 1 (* -2 x)) (+ (* 4 (- (* -2 x) (* 4 (pow x 2)))) (* 7 (pow x 2)))) x)) (+ (* 7 (/ (- (* -2 x) (* 4 (pow x 2))) x)) (* 22/3 x))))))))))) (+ 3 (+ (* 4 (/ (- (* -2 x) (* 4 (pow x 2))) x)) (+ (* 7 x) (/ (* (+ 2 (* 2 x)) (+ 2 (+ (* -1 (+ 2 (* 2 x))) (* 4 x)))) x)))))) (+ 2 (+ (* -1 (+ 2 (* 2 x))) (* 4 x)))))) |
(/ -1 wj) |
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(/ (- wj 1) wj) |
(/ (- wj 1) wj) |
(/ 1 wj) |
(/ 1 wj) |
(/ 1 wj) |
(/ 1 wj) |
x |
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(+ x (* wj (- (* wj (- 1 (+ (* -4 x) (* 3/2 x)))) (* 2 x)))) |
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x |
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1 |
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(+ 1 (* wj (+ 2 (* 3/2 wj)))) |
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wj |
(* wj (+ 1 wj)) |
(* wj (+ 1 (* wj (+ 1 (* 1/2 wj))))) |
(* wj (+ 1 (* wj (+ 1 (* wj (+ 1/2 (* 1/6 wj))))))) |
x |
(+ x (* wj (+ 1 (* -1 (- 1 (* -2 x)))))) |
(+ x (* wj (+ 1 (+ (* -1 (* wj (- 1 (+ (* -3/2 x) (* 2 (- 1 (* -2 x))))))) (* -1 (- 1 (* -2 x))))))) |
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-1 |
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(- (* wj (+ 2 (* wj (- (* 8/3 wj) 5/2)))) 1) |
1 |
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1 |
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1 |
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5/2 |
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(* (pow wj 3) (- (+ (* 5/2 (/ 1 wj)) (/ 1 (* wj x))) (+ 8/3 (+ (/ 1 x) (/ 2 (pow wj 2)))))) |
(* (pow wj 3) (- (+ (* 5/2 (/ 1 wj)) (+ (/ 1 (* wj x)) (/ 1 (pow wj 3)))) (+ 8/3 (+ (/ 1 x) (/ 2 (pow wj 2)))))) |
wj |
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wj |
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1 |
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(- (+ 1 (+ (* -1 (/ x (* wj (exp wj)))) (+ (* -1 (/ x (* (pow wj 3) (exp wj)))) (/ 1 (pow wj 2))))) (+ (* -1 (/ x (* (pow wj 2) (exp wj)))) (+ (/ 1 wj) (/ 1 (pow wj 3))))) |
wj |
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wj |
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(* wj (- (+ 1 (* -1 (/ (- (* -2 (/ x (exp wj))) 2) (pow wj 3)))) (+ (* -1 (/ (+ 1 (/ x (exp wj))) (pow wj 2))) (+ (* 3 (/ x (* (pow wj 3) (exp wj)))) (+ (/ 1 wj) (* 3 (/ 1 (pow wj 3)))))))) |
1 |
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(- 1 (/ 1 wj)) |
(/ 1 wj) |
(/ 1 wj) |
(/ 1 wj) |
(/ 1 wj) |
wj |
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(/ x (* wj (exp wj))) |
(/ (+ (* -1 (/ x (* wj (exp wj)))) (/ x (exp wj))) wj) |
(/ (- (+ (/ x (exp wj)) (/ x (* (pow wj 2) (exp wj)))) (/ x (* wj (exp wj)))) wj) |
(/ (- (+ (* -1 (/ x (* (pow wj 3) (exp wj)))) (/ x (exp wj))) (+ (* -1 (/ x (* (pow wj 2) (exp wj)))) (/ x (* wj (exp wj))))) wj) |
(* wj (exp wj)) |
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(* wj (exp wj)) |
wj |
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(/ -1 (* wj (exp wj))) |
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(/ (- (/ 1 (* wj (exp wj))) (+ (/ 1 (exp wj)) (/ 1 (* (pow wj 2) (exp wj))))) wj) |
(/ (- (+ (/ 1 (* wj (exp wj))) (/ 1 (* (pow wj 3) (exp wj)))) (+ (/ 1 (exp wj)) (/ 1 (* (pow wj 2) (exp wj))))) wj) |
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(exp wj) |
(exp wj) |
(exp wj) |
(exp wj) |
(* -1 (/ (pow wj 3) x)) |
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(* (pow wj 3) (- (+ (/ 1 (* wj x)) (/ 1 (pow wj 3))) (/ 1 x))) |
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(* -1 (* (pow wj 3) (+ 8/3 (+ (* -1 (/ (+ 5/2 (+ (* -1 (/ (- 2 (/ 1 wj)) wj)) (/ 1 x))) wj)) (/ 1 x))))) |
wj |
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(* -1 (* wj (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ x (exp wj))) (+ (/ 1 wj) (/ x (* wj (exp wj))))) 1) wj)) 1) wj)) 1))) |
(* -1 (* (pow wj 3) (+ 1 (+ (* 2/3 x) (* 2 x))))) |
(* -1 (* (pow wj 3) (+ 1 (+ (* -1 (/ (+ 1 (* 5/2 x)) wj)) (+ (* 2/3 x) (* 2 x)))))) |
(* -1 (* (pow wj 3) (+ 1 (+ (* -1 (/ (+ 1 (+ (* -2 (/ x wj)) (* 5/2 x))) wj)) (+ (* 2/3 x) (* 2 x)))))) |
(* -1 (* (pow wj 3) (+ 1 (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ (* -1 (/ x wj)) (* 2 x)) wj)) (* 5/2 x))) wj)) (+ (* 2/3 x) (* 2 x)))))) |
(* -1 (* (pow wj 3) (* x (+ 8/3 (/ 1 x))))) |
(* -1 (* (pow wj 3) (+ (* -1 (/ (* x (+ 5/2 (/ 1 x))) wj)) (* x (+ 8/3 (/ 1 x)))))) |
(* -1 (* (pow wj 3) (+ (* -1 (/ (+ (* -2 (/ x wj)) (* x (+ 5/2 (/ 1 x)))) wj)) (* x (+ 8/3 (/ 1 x)))))) |
(* -1 (* (pow wj 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ x wj)) (* 2 x)) wj)) (* x (+ 5/2 (/ 1 x)))) wj)) (* x (+ 8/3 (/ 1 x)))))) |
wj |
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(* -1 (* wj (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ x (exp wj))) 1) wj)) 1) wj)) 1))) |
(* -1 (* wj (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ x (exp wj))) (+ (/ 1 wj) (/ x (* wj (exp wj))))) 1) wj)) 1) wj)) 1))) |
1 |
(+ 1 (* -1 (/ (+ 1 (/ x (exp wj))) wj))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (/ x (exp wj))) wj)) (/ x (exp wj)))) wj))) |
(+ 1 (* -1 (/ (+ 1 (+ (* -1 (/ (- (* -1 (/ (+ 1 (/ x (exp wj))) wj)) (* -1 (+ 1 (/ x (exp wj))))) wj)) (/ x (exp wj)))) wj))) |
wj |
(* -1 (* wj (- (/ 1 wj) 1))) |
(* -1 (* wj (- (/ 1 wj) 1))) |
(* -1 (* wj (- (/ 1 wj) 1))) |
wj |
(* -1 (* wj (- (/ 1 wj) 1))) |
(* -1 (* wj (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ x (exp wj))) 1) wj)) 1) wj)) 1))) |
(* -1 (* wj (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ 1 (* 2 (/ x (exp wj)))) (+ (* -2 (- (* -1 (/ x (exp wj))) 1)) (/ x (exp wj)))) wj)) (* -1 (- (* -1 (/ x (exp wj))) 1))) wj)) 1) wj)) 1))) |
1 |
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(- 1 (/ 1 wj)) |
(- 1 (/ 1 wj)) |
(/ 1 wj) |
(/ 1 wj) |
(/ 1 wj) |
(/ 1 wj) |
wj |
(* -1 (* wj (- (/ 1 wj) 1))) |
(* -1 (* wj (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ x (exp wj))) 1) wj)) 1) wj)) 1))) |
(* -1 (* wj (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ x (exp wj))) (+ (/ 1 wj) (/ x (* wj (exp wj))))) 1) wj)) 1) wj)) 1))) |
(/ x (* wj (exp wj))) |
(* -1 (/ (+ (* -1 (/ x (exp wj))) (/ x (* wj (exp wj)))) wj)) |
(* -1 (/ (+ (* -1 (/ x (exp wj))) (* -1 (/ (- (/ x (* wj (exp wj))) (/ x (exp wj))) wj))) wj)) |
(* -1 (/ (+ (* -1 (/ x (exp wj))) (* -1 (/ (- (* -1 (/ (- (/ x (* wj (exp wj))) (/ x (exp wj))) wj)) (/ x (exp wj))) wj))) wj)) |
(* wj (exp wj)) |
(* -1 (* wj (+ (* -1 (exp wj)) (* -1 (/ (exp wj) wj))))) |
(* -1 (* wj (+ (* -1 (exp wj)) (* -1 (/ (exp wj) wj))))) |
(* -1 (* wj (+ (* -1 (exp wj)) (* -1 (/ (exp wj) wj))))) |
(* wj (exp wj)) |
(* wj (exp wj)) |
(* wj (exp wj)) |
(* wj (exp wj)) |
wj |
(* -1 (* wj (- (/ 1 wj) 1))) |
(* -1 (* wj (- (* -1 (/ (- (+ (/ 1 wj) (/ x (* wj (exp wj)))) 1) wj)) 1))) |
(* -1 (* wj (- (* -1 (/ (- (* -1 (/ (+ (* -1 (+ 1 (/ x (exp wj)))) (+ (/ 1 wj) (/ x (* wj (exp wj))))) wj)) 1) wj)) 1))) |
(/ -1 (* wj (exp wj))) |
(* -1 (/ (- (/ 1 (exp wj)) (/ 1 (* wj (exp wj)))) wj)) |
(* -1 (/ (+ (* -1 (/ (- (/ 1 (exp wj)) (/ 1 (* wj (exp wj)))) wj)) (/ 1 (exp wj))) wj)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (exp wj)) (/ 1 (* wj (exp wj)))) wj)) (/ 1 (exp wj))) wj)) (/ 1 (exp wj))) wj)) |
(* wj (exp wj)) |
(* -1 (* wj (+ (* -1 (exp wj)) (* -1 (/ (exp wj) wj))))) |
(* -1 (* wj (+ (* -1 (exp wj)) (* -1 (/ (exp wj) wj))))) |
(* -1 (* wj (+ (* -1 (exp wj)) (* -1 (/ (exp wj) wj))))) |
(exp wj) |
(exp wj) |
(exp wj) |
(exp wj) |
(* -1 (/ (pow wj 3) x)) |
(* -1 (* (pow wj 3) (- (/ 1 x) (/ 1 (* wj x))))) |
(* -1 (* (pow wj 3) (+ (* -1 (/ (+ (/ 1 x) (/ 1 (pow wj 2))) wj)) (/ 1 x)))) |
(* -1 (* (pow wj 3) (+ (* -1 (/ (+ (/ 1 x) (/ 1 (pow wj 2))) wj)) (/ 1 x)))) |
(* -8/3 wj) |
(* -1 (* wj (- 8/3 (* 5/2 (/ 1 wj))))) |
(* -1 (* wj (- 8/3 (* 5/2 (/ 1 wj))))) |
(* -1 (* wj (- 8/3 (* 5/2 (/ 1 wj))))) |
(/ (* (pow wj 2) (- 1 wj)) x) |
(/ (+ (* x (+ 1 (* wj (- (* wj (+ 5/2 (* -8/3 wj))) 2)))) (* (pow wj 2) (- 1 wj))) x) |
(/ (+ (* x (+ 1 (* wj (- (* wj (+ 5/2 (* -8/3 wj))) 2)))) (* (pow wj 2) (- 1 wj))) x) |
(/ (+ (* x (+ 1 (* wj (- (* wj (+ 5/2 (* -8/3 wj))) 2)))) (* (pow wj 2) (- 1 wj))) x) |
(- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) |
(- (+ wj (/ x (+ (exp wj) (* wj (exp wj))))) (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) |
(- (+ wj (/ x (+ (exp wj) (* wj (exp wj))))) (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) |
(- (+ wj (/ x (+ (exp wj) (* wj (exp wj))))) (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) |
(* (pow wj 2) (- 1 wj)) |
(+ (* x (+ 1 (* wj (- (* wj (- 5/2 (* 8/3 wj))) 2)))) (* (pow wj 2) (- 1 wj))) |
(+ (* x (+ 1 (* wj (- (* wj (- 5/2 (* 8/3 wj))) 2)))) (* (pow wj 2) (- 1 wj))) |
(+ (* x (+ 1 (* wj (- (* wj (- 5/2 (* 8/3 wj))) 2)))) (* (pow wj 2) (- 1 wj))) |
(* (pow wj 2) (- 1 wj)) |
(+ (* x (+ 1 (* wj (- (* wj (+ 5/2 (* -8/3 wj))) 2)))) (* (pow wj 2) (- 1 wj))) |
(+ (* x (+ 1 (* wj (- (* wj (+ 5/2 (* -8/3 wj))) 2)))) (* (pow wj 2) (- 1 wj))) |
(+ (* x (+ 1 (* wj (- (* wj (+ 5/2 (* -8/3 wj))) 2)))) (* (pow wj 2) (- 1 wj))) |
(- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) |
(- (+ wj (/ x (+ (exp wj) (* wj (exp wj))))) (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) |
(- (+ wj (/ x (+ (exp wj) (* wj (exp wj))))) (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) |
(- (+ wj (/ x (+ (exp wj) (* wj (exp wj))))) (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) |
(/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))) |
(+ (* -1 (/ x (+ (exp wj) (* wj (exp wj))))) (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) |
(+ (* -1 (/ x (+ (exp wj) (* wj (exp wj))))) (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) |
(+ (* -1 (/ x (+ (exp wj) (* wj (exp wj))))) (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 (/ (- (/ (* (pow wj 2) (pow (exp wj) 2)) (pow (+ (exp wj) (* wj (exp wj))) 2)) (pow wj 2)) (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))))) |
(+ (* -1 (/ (- (/ (* (pow wj 2) (pow (exp wj) 2)) (pow (+ (exp wj) (* wj (exp wj))) 2)) (pow wj 2)) (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))))) (* x (- (+ (* 2 (/ (* wj (exp wj)) (* (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) (pow (+ (exp wj) (* wj (exp wj))) 2)))) (/ (pow wj 2) (* (pow (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) 2) (+ (exp wj) (* wj (exp wj)))))) (/ (* (pow wj 2) (pow (exp wj) 2)) (* (pow (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) 2) (pow (+ (exp wj) (* wj (exp wj))) 3)))))) |
(+ (* -1 (/ (- (/ (* (pow wj 2) (pow (exp wj) 2)) (pow (+ (exp wj) (* wj (exp wj))) 2)) (pow wj 2)) (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))))) (* x (- (+ (* -1 (* x (+ (* -1 (/ (- (+ (* 2 (/ (* wj (exp wj)) (* (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) (pow (+ (exp wj) (* wj (exp wj))) 2)))) (/ (pow wj 2) (* (pow (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) 2) (+ (exp wj) (* wj (exp wj)))))) (/ (* (pow wj 2) (pow (exp wj) 2)) (* (pow (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) 2) (pow (+ (exp wj) (* wj (exp wj))) 3)))) (* (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) (+ (exp wj) (* wj (exp wj)))))) (/ 1 (* (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) (pow (+ (exp wj) (* wj (exp wj))) 2)))))) (+ (* 2 (/ (* wj (exp wj)) (* (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) (pow (+ (exp wj) (* wj (exp wj))) 2)))) (/ (pow wj 2) (* (pow (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) 2) (+ (exp wj) (* wj (exp wj))))))) (/ (* (pow wj 2) (pow (exp wj) 2)) (* (pow (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) 2) (pow (+ (exp wj) (* wj (exp wj))) 3)))))) |
(+ (* -1 (/ (- (/ (* (pow wj 2) (pow (exp wj) 2)) (pow (+ (exp wj) (* wj (exp wj))) 2)) (pow wj 2)) (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))))) (* x (- (+ (* 2 (/ (* wj (exp wj)) (* (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) (pow (+ (exp wj) (* wj (exp wj))) 2)))) (+ (* x (- (* -1 (* x (+ (* -1 (/ (- (+ (* 2 (/ (* wj (exp wj)) (* (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) (pow (+ (exp wj) (* wj (exp wj))) 2)))) (/ (pow wj 2) (* (pow (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) 2) (+ (exp wj) (* wj (exp wj)))))) (/ (* (pow wj 2) (pow (exp wj) 2)) (* (pow (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) 2) (pow (+ (exp wj) (* wj (exp wj))) 3)))) (* (pow (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) 2) (pow (+ (exp wj) (* wj (exp wj))) 2)))) (/ 1 (* (pow (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) 2) (pow (+ (exp wj) (* wj (exp wj))) 3)))))) (+ (* -1 (/ (- (+ (* 2 (/ (* wj (exp wj)) (* (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) (pow (+ (exp wj) (* wj (exp wj))) 2)))) (/ (pow wj 2) (* (pow (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) 2) (+ (exp wj) (* wj (exp wj)))))) (/ (* (pow wj 2) (pow (exp wj) 2)) (* (pow (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) 2) (pow (+ (exp wj) (* wj (exp wj))) 3)))) (* (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) (+ (exp wj) (* wj (exp wj)))))) (/ 1 (* (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) (pow (+ (exp wj) (* wj (exp wj))) 2)))))) (/ (pow wj 2) (* (pow (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) 2) (+ (exp wj) (* wj (exp wj))))))) (/ (* (pow wj 2) (pow (exp wj) 2)) (* (pow (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) 2) (pow (+ (exp wj) (* wj (exp wj))) 3)))))) |
(- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) |
(- (+ wj (/ x (+ (exp wj) (* wj (exp wj))))) (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) |
(- (+ wj (/ x (+ (exp wj) (* wj (exp wj))))) (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) |
(- (+ wj (/ x (+ (exp wj) (* wj (exp wj))))) (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) |
(/ x (+ (exp wj) (* wj (exp wj)))) |
(/ x (+ (exp wj) (* wj (exp wj)))) |
(/ x (+ (exp wj) (* wj (exp wj)))) |
(/ x (+ (exp wj) (* wj (exp wj)))) |
(+ wj (* -1 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))) |
(+ wj (+ (* -1 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) (/ x (+ (exp wj) (* wj (exp wj)))))) |
(+ wj (+ (* -1 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) (/ x (+ (exp wj) (* wj (exp wj)))))) |
(+ wj (+ (* -1 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) (/ x (+ (exp wj) (* wj (exp wj)))))) |
(/ (* (pow wj 2) (- 1 wj)) x) |
(/ (+ x (* (pow wj 2) (- 1 wj))) x) |
(/ (+ x (* (pow wj 2) (- 1 wj))) x) |
(/ (+ x (* (pow wj 2) (- 1 wj))) x) |
(+ 1 (* wj (- (* wj (+ 5/2 (* -8/3 wj))) 2))) |
(+ 1 (+ (* wj (- (* wj (+ 5/2 (* -8/3 wj))) 2)) (/ (* (pow wj 2) (- 1 wj)) x))) |
(+ 1 (+ (* wj (- (* wj (+ 5/2 (* -8/3 wj))) 2)) (/ (* (pow wj 2) (- 1 wj)) x))) |
(+ 1 (+ (* wj (- (* wj (+ 5/2 (* -8/3 wj))) 2)) (/ (* (pow wj 2) (- 1 wj)) x))) |
(/ x (+ (exp wj) (* wj (exp wj)))) |
(* x (- (+ (/ 1 (+ (exp wj) (* wj (exp wj)))) (/ wj x)) (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj))))))) |
(* x (- (+ (/ 1 (+ (exp wj) (* wj (exp wj)))) (/ wj x)) (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj))))))) |
(* x (- (+ (/ 1 (+ (exp wj) (* wj (exp wj)))) (/ wj x)) (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj))))))) |
(* x (+ 1 (* wj (- (* wj (- 5/2 (* 8/3 wj))) 2)))) |
(* x (+ 1 (+ (* wj (- (* wj (- 5/2 (* 8/3 wj))) 2)) (/ (* (pow wj 2) (- 1 wj)) x)))) |
(* x (+ 1 (+ (* wj (- (* wj (- 5/2 (* 8/3 wj))) 2)) (/ (* (pow wj 2) (- 1 wj)) x)))) |
(* x (+ 1 (+ (* wj (- (* wj (- 5/2 (* 8/3 wj))) 2)) (/ (* (pow wj 2) (- 1 wj)) x)))) |
(* x (+ 1 (* wj (- (* wj (+ 5/2 (* -8/3 wj))) 2)))) |
(* x (+ 1 (+ (* wj (- (* wj (+ 5/2 (* -8/3 wj))) 2)) (/ (* (pow wj 2) (- 1 wj)) x)))) |
(* x (+ 1 (+ (* wj (- (* wj (+ 5/2 (* -8/3 wj))) 2)) (/ (* (pow wj 2) (- 1 wj)) x)))) |
(* x (+ 1 (+ (* wj (- (* wj (+ 5/2 (* -8/3 wj))) 2)) (/ (* (pow wj 2) (- 1 wj)) x)))) |
(/ x (+ (exp wj) (* wj (exp wj)))) |
(* x (- (+ (/ 1 (+ (exp wj) (* wj (exp wj)))) (/ wj x)) (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj))))))) |
(* x (- (+ (/ 1 (+ (exp wj) (* wj (exp wj)))) (/ wj x)) (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj))))))) |
(* x (- (+ (/ 1 (+ (exp wj) (* wj (exp wj)))) (/ wj x)) (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj))))))) |
(* -1 (/ x (+ (exp wj) (* wj (exp wj))))) |
(* x (- (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj))))) (/ 1 (+ (exp wj) (* wj (exp wj)))))) |
(* x (- (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj))))) (/ 1 (+ (exp wj) (* wj (exp wj)))))) |
(* x (- (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj))))) (/ 1 (+ (exp wj) (* wj (exp wj)))))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ x (+ (exp wj) (* wj (exp wj)))) |
(* x (- (+ (* -2 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj))))) (* -1 (/ (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)))) |
(* x (- (+ (* -2 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (+ (/ 1 (+ (exp wj) (* wj (exp wj)))) (/ (* (+ (exp wj) (* wj (exp wj))) (- (/ (* (pow wj 2) (pow (exp wj) 2)) (pow (+ (exp wj) (* wj (exp wj))) 2)) (pow wj 2))) (pow x 2)))) (+ (* -1 (/ (* (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) (* (+ (exp wj) (* wj (exp wj))) (- (* -2 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) (* -1 (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))))))) (pow x 2))) (* -1 (/ (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x))))) |
(* x (- (+ (* -2 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (+ (/ 1 (+ (exp wj) (* wj (exp wj)))) (+ (/ (* (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) (* (+ (exp wj) (* wj (exp wj))) (- (* (+ (exp wj) (* wj (exp wj))) (- (/ (* (pow wj 2) (pow (exp wj) 2)) (pow (+ (exp wj) (* wj (exp wj))) 2)) (pow wj 2))) (* -1 (* (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) (* (+ (exp wj) (* wj (exp wj))) (- (* -2 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) (* -1 (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))))))))))) (pow x 3)) (/ (* (+ (exp wj) (* wj (exp wj))) (- (/ (* (pow wj 2) (pow (exp wj) 2)) (pow (+ (exp wj) (* wj (exp wj))) 2)) (pow wj 2))) (pow x 2))))) (+ (* -1 (/ (* (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) (* (+ (exp wj) (* wj (exp wj))) (- (* -2 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) (* -1 (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))))))) (pow x 2))) (* -1 (/ (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x))))) |
(/ x (+ (exp wj) (* wj (exp wj)))) |
(* x (- (+ (/ 1 (+ (exp wj) (* wj (exp wj)))) (/ wj x)) (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj))))))) |
(* x (- (+ (/ 1 (+ (exp wj) (* wj (exp wj)))) (/ wj x)) (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj))))))) |
(* x (- (+ (/ 1 (+ (exp wj) (* wj (exp wj)))) (/ wj x)) (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj))))))) |
(/ x (+ (exp wj) (* wj (exp wj)))) |
(/ x (+ (exp wj) (* wj (exp wj)))) |
(/ x (+ (exp wj) (* wj (exp wj)))) |
(/ x (+ (exp wj) (* wj (exp wj)))) |
(/ x (+ (exp wj) (* wj (exp wj)))) |
(* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (+ (/ 1 (+ (exp wj) (* wj (exp wj)))) (/ wj x)))) |
(* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (+ (/ 1 (+ (exp wj) (* wj (exp wj)))) (/ wj x)))) |
(* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (+ (/ 1 (+ (exp wj) (* wj (exp wj)))) (/ wj x)))) |
1 |
(+ 1 (/ (* (pow wj 2) (- 1 wj)) x)) |
(+ 1 (/ (* (pow wj 2) (- 1 wj)) x)) |
(+ 1 (/ (* (pow wj 2) (- 1 wj)) x)) |
(+ 1 (* wj (- (* wj (+ 5/2 (* -8/3 wj))) 2))) |
(+ 1 (+ (* wj (- (* wj (+ 5/2 (* -8/3 wj))) 2)) (/ (* (pow wj 2) (- 1 wj)) x))) |
(+ 1 (+ (* wj (- (* wj (+ 5/2 (* -8/3 wj))) 2)) (/ (* (pow wj 2) (- 1 wj)) x))) |
(+ 1 (+ (* wj (- (* wj (+ 5/2 (* -8/3 wj))) 2)) (/ (* (pow wj 2) (- 1 wj)) x))) |
(/ x (+ (exp wj) (* wj (exp wj)))) |
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(* -1 (* x (- (* wj (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj)))))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* (pow wj 2) (- 1 wj)) x)) (* wj (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* (pow wj 2) (- 1 wj)) x)) (* wj (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* (pow wj 2) (- 1 wj)) x)) (* wj (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))))) 1))) |
(* x (+ 1 (* wj (- (* wj (+ 5/2 (* -8/3 wj))) 2)))) |
(* -1 (* x (+ (* -1 (+ 1 (* wj (- (* wj (+ 5/2 (* -8/3 wj))) 2)))) (* -1 (/ (* (pow wj 2) (- 1 wj)) x))))) |
(* -1 (* x (+ (* -1 (+ 1 (* wj (- (* wj (+ 5/2 (* -8/3 wj))) 2)))) (* -1 (/ (* (pow wj 2) (- 1 wj)) x))))) |
(* -1 (* x (+ (* -1 (+ 1 (* wj (- (* wj (+ 5/2 (* -8/3 wj))) 2)))) (* -1 (/ (* (pow wj 2) (- 1 wj)) x))))) |
(/ x (+ (exp wj) (* wj (exp wj)))) |
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(* -1 (/ x (+ (exp wj) (* wj (exp wj))))) |
(* -1 (* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(* -1 (* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(* -1 (* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ x (+ (exp wj) (* wj (exp wj)))) |
(* -1 (* x (- (* -1 (/ (- (+ wj (* -2 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))) (* -1 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(* -1 (* x (- (* -1 (/ (- (+ wj (+ (* -2 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) (* -1 (/ (- (* -1 (* (+ (exp wj) (* wj (exp wj))) (- (/ (* (pow wj 2) (pow (exp wj) 2)) (pow (+ (exp wj) (* wj (exp wj))) 2)) (pow wj 2)))) (* -1 (* (+ (exp wj) (* wj (exp wj))) (* (- (* -1 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) wj) (- (+ wj (* -2 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))) (* -1 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))))))) x)))) (* -1 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(* -1 (* x (- (* -1 (/ (- (+ wj (+ (* -2 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) (* -1 (/ (- (+ (* -1 (* (+ (exp wj) (* wj (exp wj))) (- (/ (* (pow wj 2) (pow (exp wj) 2)) (pow (+ (exp wj) (* wj (exp wj))) 2)) (pow wj 2)))) (* -1 (/ (* (+ (exp wj) (* wj (exp wj))) (* (- (* -1 (* (+ (exp wj) (* wj (exp wj))) (- (/ (* (pow wj 2) (pow (exp wj) 2)) (pow (+ (exp wj) (* wj (exp wj))) 2)) (pow wj 2)))) (* -1 (* (+ (exp wj) (* wj (exp wj))) (* (- (* -1 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) wj) (- (+ wj (* -2 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))) (* -1 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))))))) (- (* -1 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) wj))) x))) (* -1 (* (+ (exp wj) (* wj (exp wj))) (* (- (* -1 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) wj) (- (+ wj (* -2 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))) (* -1 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))))))) x)))) (* -1 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(/ x (+ (exp wj) (* wj (exp wj)))) |
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(/ x (+ (exp wj) (* wj (exp wj)))) |
(/ x (+ (exp wj) (* wj (exp wj)))) |
(/ x (+ (exp wj) (* wj (exp wj)))) |
(/ x (+ (exp wj) (* wj (exp wj)))) |
(/ x (+ (exp wj) (* wj (exp wj)))) |
(* -1 (* x (- (* -1 (/ (+ wj (* -1 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(* -1 (* x (- (* -1 (/ (+ wj (* -1 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(* -1 (* x (- (* -1 (/ (+ wj (* -1 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
1 |
(+ 1 (/ (* (pow wj 2) (- 1 wj)) x)) |
(+ 1 (/ (* (pow wj 2) (- 1 wj)) x)) |
(+ 1 (/ (* (pow wj 2) (- 1 wj)) x)) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* -2 wj)) |
(fma.f64 wj #s(literal -2 binary64) #s(literal 1 binary64)) |
(+ 1 (* wj (- (* wj (+ 5/2 (/ 1 x))) 2))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) wj #s(literal 1 binary64)) |
(+ 1 (* wj (- (* wj (+ 5/2 (+ (* -1 (* wj (+ 8/3 (/ 1 x)))) (/ 1 x)))) 2))) |
(fma.f64 (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -8/3 binary64)) wj (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 5/2 binary64))) wj #s(literal -2 binary64)) wj #s(literal 1 binary64)) |
x |
(+ x (* -2 (* wj x))) |
(*.f64 (fma.f64 wj #s(literal -2 binary64) #s(literal 1 binary64)) x) |
(+ x (* wj (- (* wj (- 1 (+ (* -4 x) (* 3/2 x)))) (* 2 x)))) |
(fma.f64 (fma.f64 (fma.f64 x #s(literal 5/2 binary64) #s(literal 1 binary64)) wj (*.f64 x #s(literal -2 binary64))) wj x) |
(+ x (* wj (- (* wj (- (+ 1 (* -1 (* wj (+ 1 (+ (* -3 x) (+ (* -2 (+ (* -4 x) (* 3/2 x))) (* 2/3 x))))))) (+ (* -4 x) (* 3/2 x)))) (* 2 x)))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 wj) (+.f64 (fma.f64 #s(literal -3 binary64) x (fma.f64 #s(literal 2/3 binary64) x (*.f64 x #s(literal 5 binary64)))) #s(literal 1 binary64)) (fma.f64 x #s(literal 5/2 binary64) #s(literal 1 binary64))) wj (*.f64 x #s(literal -2 binary64))) wj x) |
x |
(+ x (* -2 (* wj x))) |
(*.f64 (fma.f64 wj #s(literal -2 binary64) #s(literal 1 binary64)) x) |
(+ x (* wj (+ (* -2 x) (* wj (+ 1 (* 5/2 x)))))) |
(fma.f64 (fma.f64 (fma.f64 x #s(literal 5/2 binary64) #s(literal 1 binary64)) wj (*.f64 x #s(literal -2 binary64))) wj x) |
(+ x (* wj (+ (* -2 x) (* wj (+ 1 (+ (* -1 (* wj (+ 1 (+ (* 2/3 x) (* 2 x))))) (* 5/2 x))))))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 wj) (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)) (fma.f64 x #s(literal 5/2 binary64) #s(literal 1 binary64))) wj (*.f64 x #s(literal -2 binary64))) wj x) |
x |
(+ x (* -2 (* wj x))) |
(*.f64 (fma.f64 wj #s(literal -2 binary64) #s(literal 1 binary64)) x) |
(+ x (* wj (+ (* -2 x) (* wj (* x (+ 5/2 (/ 1 x))))))) |
(fma.f64 (fma.f64 (fma.f64 x #s(literal 5/2 binary64) #s(literal 1 binary64)) wj (*.f64 x #s(literal -2 binary64))) wj x) |
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x |
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#s(literal -1 binary64) |
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x |
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x |
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1 |
#s(literal 1 binary64) |
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wj |
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x |
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#s(literal -1 binary64) |
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(- (* wj (+ 2 (* -5/2 wj))) 1) |
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#s(literal 1 binary64) |
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#s(literal 1 binary64) |
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#s(literal 1 binary64) |
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(+.f64 (/.f64 (*.f64 wj wj) x) #s(literal 1 binary64)) |
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5/2 |
#s(literal 5/2 binary64) |
(+ 5/2 (* -8/3 wj)) |
(fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) |
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(+ 5/2 (* -8/3 wj)) |
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(* -1 (* (pow wj 3) (+ 8/3 (/ 1 x)))) |
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wj |
(* wj (- 1 (/ 1 wj))) |
(*.f64 (/.f64 (-.f64 wj #s(literal 1 binary64)) wj) wj) |
(* wj (- (+ 1 (+ (/ 1 (pow wj 2)) (/ x (* (pow wj 2) (exp wj))))) (/ 1 wj))) |
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(* wj (- (+ 1 (+ (* -1 (/ (+ 1 (/ x (exp wj))) (pow wj 3))) (+ (/ 1 (pow wj 2)) (/ x (* (pow wj 2) (exp wj)))))) (/ 1 wj))) |
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(* (pow wj 3) (+ (* -2 (/ x (pow wj 2))) (+ (* -1 (* x (+ 8/3 (/ 1 x)))) (+ (/ x (pow wj 3)) (/ (* x (+ 5/2 (/ 1 x))) wj))))) |
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wj |
(* wj (- 1 (/ 1 wj))) |
(*.f64 (/.f64 (-.f64 wj #s(literal 1 binary64)) wj) wj) |
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1 |
#s(literal 1 binary64) |
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(* wj (- 1 (/ 1 wj))) |
(*.f64 (/.f64 (-.f64 wj #s(literal 1 binary64)) wj) wj) |
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(*.f64 (/.f64 (-.f64 wj #s(literal 1 binary64)) wj) wj) |
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(*.f64 (/.f64 (-.f64 wj #s(literal 1 binary64)) wj) wj) |
wj |
(* wj (- 1 (/ 1 wj))) |
(*.f64 (/.f64 (-.f64 wj #s(literal 1 binary64)) wj) wj) |
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(/ 1 wj) |
(/.f64 #s(literal 1 binary64) wj) |
(/ 1 wj) |
(/.f64 #s(literal 1 binary64) wj) |
wj |
(* wj (- 1 (/ 1 wj))) |
(*.f64 (/.f64 (-.f64 wj #s(literal 1 binary64)) wj) wj) |
(* wj (- (+ 1 (+ (/ 1 (pow wj 2)) (/ x (* (pow wj 2) (exp wj))))) (/ 1 wj))) |
(*.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 wj wj))) (/.f64 (/.f64 x (*.f64 wj wj)) (exp.f64 wj))) (/.f64 #s(literal 1 binary64) wj)) wj) |
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(/ x (* wj (exp wj))) |
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(/ (- (+ (* -1 (/ x (* (pow wj 3) (exp wj)))) (/ x (exp wj))) (+ (* -1 (/ x (* (pow wj 2) (exp wj)))) (/ x (* wj (exp wj))))) wj) |
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(*.f64 (+.f64 (/.f64 (exp.f64 wj) wj) (exp.f64 wj)) wj) |
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(*.f64 (+.f64 (/.f64 (exp.f64 wj) wj) (exp.f64 wj)) wj) |
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(*.f64 (exp.f64 wj) wj) |
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(*.f64 (exp.f64 wj) wj) |
wj |
(* wj (- 1 (/ 1 wj))) |
(*.f64 (/.f64 (-.f64 wj #s(literal 1 binary64)) wj) wj) |
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(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 x (exp.f64 wj)) #s(literal 1 binary64)) (*.f64 wj wj)) (/.f64 (-.f64 wj #s(literal 1 binary64)) wj)) wj) |
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(* wj (exp wj)) |
(*.f64 (exp.f64 wj) wj) |
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(exp wj) |
(exp.f64 wj) |
(exp wj) |
(exp.f64 wj) |
(exp wj) |
(exp.f64 wj) |
(exp wj) |
(exp.f64 wj) |
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wj |
(* -1 (* wj (- (/ 1 wj) 1))) |
(*.f64 (neg.f64 wj) (-.f64 (/.f64 #s(literal 1 binary64) wj) #s(literal 1 binary64))) |
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wj |
(* -1 (* wj (- (/ 1 wj) 1))) |
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1 |
#s(literal 1 binary64) |
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wj |
(* -1 (* wj (- (/ 1 wj) 1))) |
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1 |
#s(literal 1 binary64) |
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(/.f64 #s(literal 1 binary64) wj) |
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(* -1 (/ x (+ (exp wj) (* wj (exp wj))))) |
(/.f64 (neg.f64 x) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) |
(* -1 (* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) (*.f64 (/.f64 (exp.f64 wj) x) (/.f64 wj (fma.f64 (exp.f64 wj) wj (exp.f64 wj))))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) (*.f64 (/.f64 (exp.f64 wj) x) (/.f64 wj (fma.f64 (exp.f64 wj) wj (exp.f64 wj))))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) (*.f64 (/.f64 (exp.f64 wj) x) (/.f64 wj (fma.f64 (exp.f64 wj) wj (exp.f64 wj))))) (neg.f64 x)) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(/ x (+ (exp wj) (* wj (exp wj)))) |
(/.f64 x (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) |
(* -1 (* x (- (* -1 (/ (- (+ wj (* -2 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))) (* -1 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 wj (/.f64 (exp.f64 wj) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) (neg.f64 wj)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (- (+ wj (+ (* -2 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) (* -1 (/ (- (* -1 (* (+ (exp wj) (* wj (exp wj))) (- (/ (* (pow wj 2) (pow (exp wj) 2)) (pow (+ (exp wj) (* wj (exp wj))) 2)) (pow wj 2)))) (* -1 (* (+ (exp wj) (* wj (exp wj))) (* (- (* -1 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) wj) (- (+ wj (* -2 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))) (* -1 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))))))) x)))) (* -1 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(*.f64 (fma.f64 (/.f64 (+.f64 wj (fma.f64 (/.f64 (*.f64 (neg.f64 (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) (-.f64 (-.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 wj) #s(literal 2 binary64)) wj) wj) (pow.f64 (fma.f64 (exp.f64 wj) wj (exp.f64 wj)) #s(literal 2 binary64))) (*.f64 wj wj)) (*.f64 (neg.f64 (fma.f64 (/.f64 (exp.f64 wj) (+.f64 wj #s(literal 1 binary64))) (/.f64 wj (exp.f64 wj)) wj)) (fma.f64 (neg.f64 wj) (/.f64 (exp.f64 wj) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) wj)))) x) #s(literal -1 binary64) (*.f64 (neg.f64 wj) (/.f64 (exp.f64 wj) (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))))) x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (- (+ wj (+ (* -2 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) (* -1 (/ (- (+ (* -1 (* (+ (exp wj) (* wj (exp wj))) (- (/ (* (pow wj 2) (pow (exp wj) 2)) (pow (+ (exp wj) (* wj (exp wj))) 2)) (pow wj 2)))) (* -1 (/ (* (+ (exp wj) (* wj (exp wj))) (* (- (* -1 (* (+ (exp wj) (* wj (exp wj))) (- (/ (* (pow wj 2) (pow (exp wj) 2)) (pow (+ (exp wj) (* wj (exp wj))) 2)) (pow wj 2)))) (* -1 (* (+ (exp wj) (* wj (exp wj))) (* (- (* -1 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) wj) (- (+ wj (* -2 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))) (* -1 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))))))) (- (* -1 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) wj))) x))) (* -1 (* (+ (exp wj) (* wj (exp wj))) (* (- (* -1 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) wj) (- (+ wj (* -2 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))) (* -1 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))))))) x)))) (* -1 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(*.f64 (fma.f64 (/.f64 (+.f64 wj (fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (exp.f64 wj) wj (exp.f64 wj)) (+.f64 (-.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 wj) #s(literal 2 binary64)) wj) wj) (pow.f64 (fma.f64 (exp.f64 wj) wj (exp.f64 wj)) #s(literal 2 binary64))) (*.f64 wj wj)) (/.f64 (*.f64 (fma.f64 (/.f64 (exp.f64 wj) (+.f64 wj #s(literal 1 binary64))) (/.f64 wj (exp.f64 wj)) wj) (*.f64 (fma.f64 (exp.f64 wj) wj (exp.f64 wj)) (-.f64 (-.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 wj) #s(literal 2 binary64)) wj) wj) (pow.f64 (fma.f64 (exp.f64 wj) wj (exp.f64 wj)) #s(literal 2 binary64))) (*.f64 wj wj)) (*.f64 (neg.f64 (fma.f64 (/.f64 (exp.f64 wj) (+.f64 wj #s(literal 1 binary64))) (/.f64 wj (exp.f64 wj)) wj)) (fma.f64 (neg.f64 wj) (/.f64 (exp.f64 wj) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) wj))))) x))) (*.f64 (*.f64 (fma.f64 (/.f64 (exp.f64 wj) (+.f64 wj #s(literal 1 binary64))) (/.f64 wj (exp.f64 wj)) wj) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) (fma.f64 wj (/.f64 (exp.f64 wj) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) (neg.f64 wj)))) x) #s(literal -1 binary64) (*.f64 (neg.f64 wj) (/.f64 (exp.f64 wj) (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))))) x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))) (neg.f64 x)) |
(/ x (+ (exp wj) (* wj (exp wj)))) |
(/.f64 x (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) |
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 wj (/.f64 (exp.f64 wj) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) (neg.f64 wj)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 wj (/.f64 (exp.f64 wj) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) (neg.f64 wj)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 wj (/.f64 (exp.f64 wj) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) (neg.f64 wj)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))) (neg.f64 x)) |
(/ x (+ (exp wj) (* wj (exp wj)))) |
(/.f64 x (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) |
(/ x (+ (exp wj) (* wj (exp wj)))) |
(/.f64 x (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) |
(/ x (+ (exp wj) (* wj (exp wj)))) |
(/.f64 x (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) |
(/ x (+ (exp wj) (* wj (exp wj)))) |
(/.f64 x (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) |
(/ x (+ (exp wj) (* wj (exp wj)))) |
(/.f64 x (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) |
(* -1 (* x (- (* -1 (/ (+ wj (* -1 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 wj (/.f64 (exp.f64 wj) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) (neg.f64 wj)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (+ wj (* -1 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 wj (/.f64 (exp.f64 wj) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) (neg.f64 wj)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (+ wj (* -1 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 wj (/.f64 (exp.f64 wj) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) (neg.f64 wj)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))) (neg.f64 x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ (* (pow wj 2) (- 1 wj)) x)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) wj) x) (*.f64 wj wj) #s(literal 1 binary64)) |
(+ 1 (/ (* (pow wj 2) (- 1 wj)) x)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) wj) x) (*.f64 wj wj) #s(literal 1 binary64)) |
(+ 1 (/ (* (pow wj 2) (- 1 wj)) x)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) wj) x) (*.f64 wj wj) #s(literal 1 binary64)) |
| 4 676× | lower-fma.f32 |
| 4 664× | lower-fma.f64 |
| 4 154× | lower-*.f32 |
| 4 146× | lower-*.f64 |
| 3 178× | lower-pow.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 355 |
| 0 | 93 | 351 |
| 1 | 479 | 322 |
| 2 | 4092 | 322 |
| 0 | 8277 | 310 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) wj (fma.f64 (*.f64 wj wj) (/.f64 (-.f64 #s(literal 1 binary64) wj) x) #s(literal 1 binary64))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) wj (fma.f64 (*.f64 wj wj) (/.f64 (-.f64 #s(literal 1 binary64) wj) x) #s(literal 1 binary64))) x))) |
#s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) wj (fma.f64 (*.f64 wj wj) (/.f64 (-.f64 #s(literal 1 binary64) wj) x) #s(literal 1 binary64))) x)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) wj (fma.f64 (*.f64 wj wj) (/.f64 (-.f64 #s(literal 1 binary64) wj) x) #s(literal 1 binary64))) x) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x))) |
#s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x)) |
(neg.f64 x) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) wj)) wj) |
#s(approx (/ (- (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* wj wj)) (- (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) wj)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) wj)) wj)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) wj)) |
(/.f64 #s(literal 1 binary64) wj) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (*.f64 (exp.f64 wj) wj)))) |
(/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (*.f64 (exp.f64 wj) wj))) |
#s(approx (+ (* (exp wj) wj) (exp wj)) (*.f64 (exp.f64 wj) wj)) |
(*.f64 (exp.f64 wj) wj) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) (-.f64 (*.f64 (exp.f64 wj) wj) x) wj) |
(/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) |
(fma.f64 (exp.f64 wj) wj (exp.f64 wj)) |
(exp.f64 wj) |
(fma.f64 (*.f64 wj wj) (/.f64 (-.f64 #s(literal 1 binary64) wj) x) #s(literal 1 binary64)) |
(fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 wj #s(literal -8/3 binary64) #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) wj) #s(literal 2 binary64)) (pow.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) wj) x) (*.f64 wj wj) #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 wj #s(literal -8/3 binary64) #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) wj) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) wj) x) (*.f64 wj wj) #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) wj) x) (*.f64 wj wj) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 (fma.f64 wj #s(literal -8/3 binary64) #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) wj) #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) wj) x) (*.f64 wj wj) #s(literal 1 binary64)) (-.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) wj) x) (*.f64 wj wj) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 wj #s(literal -8/3 binary64) #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) wj)) (pow.f64 (*.f64 (fma.f64 (fma.f64 wj #s(literal -8/3 binary64) #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) wj) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 wj #s(literal -8/3 binary64) #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) wj) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) wj) x) (*.f64 wj wj) #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 wj #s(literal -8/3 binary64) #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) wj) #s(literal 2 binary64)) (pow.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) wj) x) (*.f64 wj wj) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) wj) x) (*.f64 wj wj) #s(literal 1 binary64)) (-.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) wj) x) (*.f64 wj wj) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 wj #s(literal -8/3 binary64) #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) wj)) (pow.f64 (*.f64 (fma.f64 (fma.f64 wj #s(literal -8/3 binary64) #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) wj) #s(literal 2 binary64))) (+.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) wj) x) (*.f64 wj wj) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 (fma.f64 wj #s(literal -8/3 binary64) #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) wj) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (*.f64 wj (+.f64 (fma.f64 (fma.f64 wj #s(literal -8/3 binary64) #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) wj) x) wj))) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 wj (+.f64 (fma.f64 (fma.f64 wj #s(literal -8/3 binary64) #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) wj) x) wj))) #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) wj) x) (*.f64 wj wj) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (fma.f64 (fma.f64 wj #s(literal -8/3 binary64) #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) wj) #s(literal 2 binary64))) (-.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) wj) x) (*.f64 wj wj) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 wj #s(literal -8/3 binary64) #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) wj))) |
(/.f64 (+.f64 (pow.f64 (*.f64 wj (+.f64 (fma.f64 (fma.f64 wj #s(literal -8/3 binary64) #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) wj) x) wj))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 wj (+.f64 (fma.f64 (fma.f64 wj #s(literal -8/3 binary64) #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) wj) x) wj))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 wj (+.f64 (fma.f64 (fma.f64 wj #s(literal -8/3 binary64) #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) wj) x) wj))) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 wj #s(literal -8/3 binary64) #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) wj) #s(literal 2 binary64)) (pow.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) wj) x) (*.f64 wj wj) #s(literal 1 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (fma.f64 (fma.f64 wj #s(literal -8/3 binary64) #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) wj) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) wj) x) (*.f64 wj wj) #s(literal 1 binary64))))) |
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(pow.f64 (/.f64 (-.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj)) (-.f64 (pow.f64 (*.f64 (exp.f64 wj) wj) #s(literal 2 binary64)) (pow.f64 (exp.f64 wj) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (exp.f64 wj) (*.f64 (exp.f64 wj) wj)) (-.f64 (pow.f64 (exp.f64 wj) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 wj) wj) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (exp.f64 wj) (-.f64 (exp.f64 wj) (*.f64 (exp.f64 wj) wj)) (pow.f64 (*.f64 (exp.f64 wj) wj) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (exp.f64 wj) wj) #s(literal 3 binary64)) (pow.f64 (exp.f64 wj) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (exp.f64 wj) wj) (-.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj)) (pow.f64 (exp.f64 wj) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (exp.f64 wj) wj) #s(literal 3 binary64)) (pow.f64 (exp.f64 wj) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 wj) wj) #s(literal 2 binary64)) (pow.f64 (exp.f64 wj) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 wj) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 wj) wj) #s(literal 2 binary64)))) (neg.f64 (-.f64 (exp.f64 wj) (*.f64 (exp.f64 wj) wj)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 wj) wj) #s(literal 3 binary64)) (pow.f64 (exp.f64 wj) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (exp.f64 wj) (-.f64 (exp.f64 wj) (*.f64 (exp.f64 wj) wj)) (pow.f64 (*.f64 (exp.f64 wj) wj) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 wj) wj) #s(literal 3 binary64)) (pow.f64 (exp.f64 wj) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (exp.f64 wj) wj) (-.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj)) (pow.f64 (exp.f64 wj) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 wj) wj) #s(literal 2 binary64)) (pow.f64 (exp.f64 wj) #s(literal 2 binary64))) (-.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 wj) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 wj) wj) #s(literal 2 binary64))) (-.f64 (exp.f64 wj) (*.f64 (exp.f64 wj) wj))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 wj) wj) #s(literal 3 binary64)) (pow.f64 (exp.f64 wj) #s(literal 3 binary64))) (fma.f64 (exp.f64 wj) (-.f64 (exp.f64 wj) (*.f64 (exp.f64 wj) wj)) (pow.f64 (*.f64 (exp.f64 wj) wj) #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 wj) wj) #s(literal 3 binary64)) (pow.f64 (exp.f64 wj) #s(literal 3 binary64))) (fma.f64 (*.f64 (exp.f64 wj) wj) (-.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj)) (pow.f64 (exp.f64 wj) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj)) (-.f64 (pow.f64 (*.f64 (exp.f64 wj) wj) #s(literal 2 binary64)) (pow.f64 (exp.f64 wj) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 wj) (*.f64 (exp.f64 wj) wj)) (-.f64 (pow.f64 (exp.f64 wj) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 wj) wj) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 wj) (-.f64 (exp.f64 wj) (*.f64 (exp.f64 wj) wj)) (pow.f64 (*.f64 (exp.f64 wj) wj) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (exp.f64 wj) wj) #s(literal 3 binary64)) (pow.f64 (exp.f64 wj) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (exp.f64 wj) wj) (-.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj)) (pow.f64 (exp.f64 wj) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (exp.f64 wj) wj) #s(literal 3 binary64)) (pow.f64 (exp.f64 wj) #s(literal 3 binary64))))) |
(fma.f64 (exp.f64 wj) wj (exp.f64 wj)) |
(fma.f64 wj (exp.f64 wj) (exp.f64 wj)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (exp.f64 wj) wj) #s(literal 2 binary64)) (-.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj))) (/.f64 (pow.f64 (exp.f64 wj) #s(literal 2 binary64)) (-.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj)))) |
(-.f64 (/.f64 (pow.f64 (exp.f64 wj) #s(literal 2 binary64)) (-.f64 (exp.f64 wj) (*.f64 (exp.f64 wj) wj))) (/.f64 (pow.f64 (*.f64 (exp.f64 wj) wj) #s(literal 2 binary64)) (-.f64 (exp.f64 wj) (*.f64 (exp.f64 wj) wj)))) |
(+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj)) |
(+.f64 (exp.f64 wj) (*.f64 (exp.f64 wj) wj)) |
(pow.f64 (exp.f64 #s(literal 1 binary64)) wj) |
(pow.f64 (exp.f64 wj) #s(literal 1 binary64)) |
(exp.f64 wj) |
(*.f64 (fma.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) wj)) #s(literal -2 binary64)) (pow.f64 wj #s(literal 4 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) wj) x) (*.f64 wj wj) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) wj)) #s(literal -3 binary64)) (pow.f64 wj #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) wj)) #s(literal -2 binary64)) (pow.f64 wj #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) wj) x) wj) wj)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) wj) x) (*.f64 wj wj) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) wj)) #s(literal -2 binary64)) (pow.f64 wj #s(literal 4 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) wj)) #s(literal -2 binary64)) (pow.f64 wj #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) wj) x) wj) wj)) (fma.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) wj)) #s(literal -3 binary64)) (pow.f64 wj #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) wj)) #s(literal -2 binary64)) (pow.f64 wj #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) wj) x) wj) wj))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) wj)) #s(literal -2 binary64)) (pow.f64 wj #s(literal 4 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) wj) x) (*.f64 wj wj) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) wj)) #s(literal -3 binary64)) (pow.f64 wj #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) wj)) #s(literal -2 binary64)) (pow.f64 wj #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) wj) x) wj) wj)))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) wj)) #s(literal -2 binary64)) (pow.f64 wj #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) wj) x) (*.f64 wj wj) #s(literal -1 binary64))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) wj)) #s(literal -3 binary64)) (pow.f64 wj #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) wj)) #s(literal -2 binary64)) (pow.f64 wj #s(literal 4 binary64))) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) wj) x) wj) wj)))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) wj)) #s(literal -3 binary64)) (pow.f64 wj #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) wj)) #s(literal -2 binary64)) (pow.f64 wj #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) wj) x) wj) wj))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) wj) x) (*.f64 wj wj) #s(literal -1 binary64)) (fma.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) wj)) #s(literal -2 binary64)) (pow.f64 wj #s(literal 4 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) wj)) #s(literal -2 binary64)) (pow.f64 wj #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) wj) x) wj) wj)) (fma.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) wj)) #s(literal -3 binary64)) (pow.f64 wj #s(literal 6 binary64)) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) wj) (*.f64 wj wj)) (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) wj) x) wj) wj #s(literal 1 binary64)) |
(fma.f64 (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) wj) x) wj) wj) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) wj) x) (*.f64 wj wj) #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) wj) (*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 wj wj)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) wj) x) wj) wj) #s(literal 1 binary64)) |
(fma.f64 (*.f64 wj wj) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) wj) x) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 wj wj) (/.f64 (-.f64 #s(literal 1 binary64) wj) x) #s(literal 1 binary64)) |
(fma.f64 wj (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) wj) x) wj) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 wj (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) wj) x) wj) #s(literal 1 binary64)) |
(-.f64 (/.f64 (*.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1 binary64) wj)) #s(literal -2 binary64)) (pow.f64 wj #s(literal 4 binary64))) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) wj) x) (*.f64 wj wj) #s(literal -1 binary64))) (pow.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) wj) x) (*.f64 wj wj) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) wj) x) wj) wj) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) wj) x) wj) wj)) |
(*.f64 (fma.f64 #s(literal 64/9 binary64) (*.f64 wj wj) #s(literal -25/4 binary64)) (pow.f64 (fma.f64 wj #s(literal -8/3 binary64) #s(literal -5/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -512/27 binary64) (pow.f64 wj #s(literal 3 binary64)) #s(literal 125/8 binary64)) (pow.f64 (fma.f64 #s(literal 64/9 binary64) (*.f64 wj wj) (-.f64 #s(literal 25/4 binary64) (*.f64 wj #s(literal -20/3 binary64)))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 wj #s(literal -8/3 binary64) #s(literal -5/2 binary64)) (fma.f64 #s(literal 64/9 binary64) (*.f64 wj wj) #s(literal -25/4 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(literal 64/9 binary64) (*.f64 wj wj) (-.f64 #s(literal 25/4 binary64) (*.f64 wj #s(literal -20/3 binary64)))) (fma.f64 #s(literal -512/27 binary64) (pow.f64 wj #s(literal 3 binary64)) #s(literal 125/8 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 25/4 binary64) (*.f64 #s(literal 64/9 binary64) (*.f64 wj wj))) (-.f64 #s(literal 5/2 binary64) (*.f64 wj #s(literal -8/3 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 64/9 binary64) (*.f64 wj wj) #s(literal -25/4 binary64))) (neg.f64 (fma.f64 wj #s(literal -8/3 binary64) #s(literal -5/2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -512/27 binary64) (pow.f64 wj #s(literal 3 binary64)) #s(literal 125/8 binary64))) (neg.f64 (fma.f64 #s(literal 64/9 binary64) (*.f64 wj wj) (-.f64 #s(literal 25/4 binary64) (*.f64 wj #s(literal -20/3 binary64)))))) |
(/.f64 (fma.f64 #s(literal 64/9 binary64) (*.f64 wj wj) #s(literal -25/4 binary64)) (fma.f64 wj #s(literal -8/3 binary64) #s(literal -5/2 binary64))) |
(/.f64 (fma.f64 #s(literal -512/27 binary64) (pow.f64 wj #s(literal 3 binary64)) #s(literal 125/8 binary64)) (+.f64 #s(literal 25/4 binary64) (-.f64 (*.f64 #s(literal 64/9 binary64) (*.f64 wj wj)) (*.f64 wj #s(literal -20/3 binary64))))) |
(/.f64 (fma.f64 #s(literal -512/27 binary64) (pow.f64 wj #s(literal 3 binary64)) #s(literal 125/8 binary64)) (fma.f64 #s(literal 64/9 binary64) (*.f64 wj wj) (-.f64 #s(literal 25/4 binary64) (*.f64 wj #s(literal -20/3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 wj #s(literal -8/3 binary64) #s(literal -5/2 binary64)) (fma.f64 #s(literal 64/9 binary64) (*.f64 wj wj) #s(literal -25/4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 64/9 binary64) (*.f64 wj wj) (-.f64 #s(literal 25/4 binary64) (*.f64 wj #s(literal -20/3 binary64)))) (fma.f64 #s(literal -512/27 binary64) (pow.f64 wj #s(literal 3 binary64)) #s(literal 125/8 binary64)))) |
(fma.f64 wj #s(literal -8/3 binary64) #s(literal 5/2 binary64)) |
(fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) |
(-.f64 (/.f64 (*.f64 #s(literal 64/9 binary64) (*.f64 wj wj)) (fma.f64 wj #s(literal -8/3 binary64) #s(literal -5/2 binary64))) (/.f64 #s(literal 25/4 binary64) (fma.f64 wj #s(literal -8/3 binary64) #s(literal -5/2 binary64)))) |
(+.f64 (*.f64 wj #s(literal -8/3 binary64)) #s(literal 5/2 binary64)) |
(+.f64 #s(literal 5/2 binary64) (*.f64 wj #s(literal -8/3 binary64))) |
Compiled 16 695 to 2 116 computations (87.3% saved)
32 alts after pruning (28 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 699 | 10 | 709 |
| Fresh | 3 | 18 | 21 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 704 | 32 | 736 |
| Status | Accuracy | Program |
|---|---|---|
| 74.4% | (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) wj #s(literal 3/2 binary64)) wj #s(literal 2 binary64)) wj #s(literal 1 binary64)))) (-.f64 (*.f64 (exp.f64 wj) wj) x) wj) | |
| 51.2% | (/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) #s(literal 2 binary64)) (*.f64 wj wj)) (-.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) wj #s(literal 3/2 binary64)) wj #s(literal 2 binary64)) wj #s(literal 1 binary64)))) wj)) | |
| 50.7% | (/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) #s(literal 2 binary64)) (*.f64 wj wj)) (-.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 (fma.f64 #s(literal 3/2 binary64) wj #s(literal 2 binary64)) wj #s(literal 1 binary64)))) wj)) | |
| 50.7% | (/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) #s(literal 2 binary64)) (*.f64 wj wj)) (-.f64 (/.f64 (-.f64 x (*.f64 #s(approx (exp wj) (fma.f64 (fma.f64 #s(literal 1/2 binary64) wj #s(literal 1 binary64)) wj #s(literal 1 binary64))) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) wj)) | |
| 50.7% | (/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) #s(literal 2 binary64)) (*.f64 wj wj)) (-.f64 #s(approx (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) (fma.f64 (fma.f64 (neg.f64 (fma.f64 (+.f64 (+.f64 #s(literal -3/2 binary64) (*.f64 (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal -5/2 binary64))) #s(literal -2 binary64))) (fma.f64 x #s(literal 2/3 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -3/2 binary64)))) wj (+.f64 (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal -5/2 binary64))) #s(literal 1 binary64)))) wj (fma.f64 #s(literal -2 binary64) x #s(literal -1 binary64))) wj x)) wj)) | |
| 22.3% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) wj) (*.f64 wj wj))) (*.f64 (/.f64 (-.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) wj) (pow.f64 (/.f64 (fma.f64 (exp.f64 wj) wj (exp.f64 wj)) (-.f64 x (*.f64 (exp.f64 wj) wj))) #s(literal -2 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 (-.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) wj) (pow.f64 (/.f64 (fma.f64 (exp.f64 wj) wj (exp.f64 wj)) (-.f64 x (*.f64 (exp.f64 wj) wj))) #s(literal -2 binary64))) (/.f64 (-.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) wj) (*.f64 wj wj)))) | |
| 72.1% | (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (fma.f64 #s(approx (+ (* 2 x) 1) #s(literal 1 binary64)) wj (neg.f64 x)))) | |
| 7.2% | (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))) | |
| ✓ | 70.8% | (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x))) |
| ✓ | 4.5% | (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64))) |
| ✓ | 4.5% | #s(approx (/ (- (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* wj wj)) (- (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) wj)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) wj)) wj)) |
| ▶ | 3.3% | #s(approx (/ (- (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* wj wj)) (- (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) wj)) #s(approx (* (- 1 (/ 1 wj)) wj) #s(literal -1 binary64))) |
| ▶ | 94.9% | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj x)) |
| 80.4% | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (*.f64 wj x) #s(literal -2 binary64) x)) | |
| 5.5% | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (neg.f64 wj) (/.f64 (exp.f64 wj) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) wj)) | |
| 60.8% | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) wj (*.f64 #s(literal -2 binary64) x)) wj) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) wj (*.f64 #s(literal -2 binary64) x)) wj (neg.f64 x)))) | |
| 82.6% | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x (*.f64 (+.f64 wj #s(literal 1 binary64)) (exp.f64 wj)))) | |
| ▶ | 80.7% | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) wj #s(literal 3/2 binary64)) wj #s(literal 2 binary64)) wj #s(literal 1 binary64))))) |
| 80.6% | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 (fma.f64 #s(literal 3/2 binary64) wj #s(literal 2 binary64)) wj #s(literal 1 binary64))))) | |
| ▶ | 80.4% | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 #s(literal 2 binary64) wj #s(literal 1 binary64))))) |
| ✓ | 5.4% | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (*.f64 (exp.f64 wj) wj)))) |
| 3.9% | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (*.f64 #s(approx (exp wj) #s(literal 1 binary64)) wj)))) | |
| ▶ | 60.7% | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) wj (*.f64 #s(literal -2 binary64) x)) wj (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) wj (*.f64 #s(literal -2 binary64) x)) wj) #s(literal 2 binary64)) (*.f64 x x))))) |
| 75.6% | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) (/.f64 wj x)) (*.f64 (/.f64 wj (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) (/.f64 (exp.f64 wj) x))) x)) | |
| 81.1% | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (*.f64 (exp.f64 (*.f64 (+.f64 (log1p.f64 wj) wj) #s(literal -1 binary64))) x)) | |
| 80.5% | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (/ x (+ (* (exp wj) wj) (exp wj))) (fma.f64 (fma.f64 (*.f64 x #s(literal 5/2 binary64)) wj (*.f64 x #s(literal -2 binary64))) wj x))) | |
| 80.7% | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) (*.f64 x wj) x))) | |
| 17.0% | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) wj) wj) wj))) | |
| 17.0% | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 #s(approx (+ (* (+ (* (+ (* -8/3 wj) 5/2) wj) -2) wj) (+ (* (* wj wj) (/ (- 1 wj) x)) 1)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) wj) x) (*.f64 wj wj))) x))) | |
| 12.7% | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 #s(approx (+ (* (+ (* (+ (* -8/3 wj) 5/2) wj) -2) wj) (+ (* (* wj wj) (/ (- 1 wj) x)) 1)) (*.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) wj) x) (/.f64 #s(literal 5/2 binary64) wj)) (+.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 wj #s(literal 3 binary64)))) x))) | |
| 79.8% | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 #s(approx (+ (* (+ (* (+ (* -8/3 wj) 5/2) wj) -2) wj) (+ (* (* wj wj) (/ (- 1 wj) x)) 1)) #s(literal 1 binary64)) x))) | |
| 16.2% | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) #s(approx (* (+ (* (+ (* (+ (* -8/3 wj) 5/2) wj) -2) wj) (+ (* (* wj wj) (/ (- 1 wj) x)) 1)) x) (*.f64 (-.f64 (/.f64 (fma.f64 x #s(literal 5/2 binary64) #s(literal 1 binary64)) wj) (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64))) (pow.f64 wj #s(literal 3 binary64)))))) |
Compiled 1 305 to 760 computations (41.8% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 128 | (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)))) | |
| cost-diff | 192 | (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) | |
| cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) wj (*.f64 #s(literal -2 binary64) x)) wj (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) wj (*.f64 #s(literal -2 binary64) x)) wj) #s(literal 2 binary64)) (*.f64 x x)))) | |
| cost-diff | 9088 | (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) wj (*.f64 #s(literal -2 binary64) x)) wj (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) wj (*.f64 #s(literal -2 binary64) x)) wj) #s(literal 2 binary64)) (*.f64 x x))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) wj #s(literal 3/2 binary64)) wj #s(literal 2 binary64)) wj #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) wj #s(literal 3/2 binary64)) wj #s(literal 2 binary64)) wj #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) wj #s(literal 3/2 binary64)) wj #s(literal 2 binary64)) wj #s(literal 1 binary64)))) | |
| cost-diff | 0 | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) wj #s(literal 3/2 binary64)) wj #s(literal 2 binary64)) wj #s(literal 1 binary64))))) | |
| cost-diff | 0 | (fma.f64 #s(literal 2 binary64) wj #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 #s(literal 2 binary64) wj #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 #s(literal 2 binary64) wj #s(literal 1 binary64)))) | |
| cost-diff | 0 | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 #s(literal 2 binary64) wj #s(literal 1 binary64))))) | |
| cost-diff | 0 | #s(approx (* (- 1 (/ 1 wj)) wj) #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* wj wj)) (- (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) wj)) #s(approx (* (- 1 (/ 1 wj)) wj) #s(literal -1 binary64))) | |
| cost-diff | 0 | #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj x) | |
| cost-diff | 0 | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj x)) |
| 9 046× | lower-fma.f32 |
| 9 026× | lower-fma.f64 |
| 3 358× | lower-*.f32 |
| 3 350× | lower-*.f64 |
| 2 670× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 654 |
| 0 | 99 | 642 |
| 1 | 197 | 618 |
| 2 | 445 | 612 |
| 3 | 1641 | 523 |
| 4 | 6311 | 498 |
| 0 | 8236 | 468 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj x)) |
(fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj x) |
(fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) |
#s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) |
(-.f64 #s(literal 1 binary64) wj) |
#s(literal 1 binary64) |
wj |
(*.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
x |
#s(approx (/ (- (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* wj wj)) (- (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) wj)) #s(approx (* (- 1 (/ 1 wj)) wj) #s(literal -1 binary64))) |
#s(approx (* (- 1 (/ 1 wj)) wj) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 #s(literal 2 binary64) wj #s(literal 1 binary64))))) |
(/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 #s(literal 2 binary64) wj #s(literal 1 binary64)))) |
x |
#s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 #s(literal 2 binary64) wj #s(literal 1 binary64))) |
(fma.f64 #s(literal 2 binary64) wj #s(literal 1 binary64)) |
#s(literal 2 binary64) |
wj |
#s(literal 1 binary64) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) wj #s(literal 3/2 binary64)) wj #s(literal 2 binary64)) wj #s(literal 1 binary64))))) |
(/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) wj #s(literal 3/2 binary64)) wj #s(literal 2 binary64)) wj #s(literal 1 binary64)))) |
x |
#s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) wj #s(literal 3/2 binary64)) wj #s(literal 2 binary64)) wj #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) wj #s(literal 3/2 binary64)) wj #s(literal 2 binary64)) wj #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 2/3 binary64) wj #s(literal 3/2 binary64)) wj #s(literal 2 binary64)) |
(fma.f64 #s(literal 2/3 binary64) wj #s(literal 3/2 binary64)) |
#s(literal 2/3 binary64) |
wj |
#s(literal 3/2 binary64) |
#s(literal 2 binary64) |
#s(literal 1 binary64) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) wj (*.f64 #s(literal -2 binary64) x)) wj (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) wj (*.f64 #s(literal -2 binary64) x)) wj) #s(literal 2 binary64)) (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) wj (*.f64 #s(literal -2 binary64) x)) wj (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) wj (*.f64 #s(literal -2 binary64) x)) wj) #s(literal 2 binary64)) (*.f64 x x)))) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) wj (*.f64 #s(literal -2 binary64) x)) wj (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) wj (*.f64 #s(literal -2 binary64) x)) wj) #s(literal 2 binary64)) (*.f64 x x))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) wj (*.f64 #s(literal -2 binary64) x)) wj (neg.f64 x)) |
(fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) wj (*.f64 #s(literal -2 binary64) x)) |
(fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) |
#s(literal 5/2 binary64) |
x |
(-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)))) |
(*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))) |
wj |
(fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) |
#s(literal 8/3 binary64) |
(*.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
(neg.f64 x) |
(-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) wj (*.f64 #s(literal -2 binary64) x)) wj) #s(literal 2 binary64)) (*.f64 x x)) |
(pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) wj (*.f64 #s(literal -2 binary64) x)) wj) #s(literal 2 binary64)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) wj (*.f64 #s(literal -2 binary64) x)) wj) |
#s(literal 2 binary64) |
(*.f64 x x) |
| Outputs |
|---|
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj x)) |
(fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj x) |
(fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) |
#s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) |
(-.f64 #s(literal 1 binary64) wj) |
#s(literal 1 binary64) |
wj |
(*.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
x |
#s(approx (/ (- (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* wj wj)) (- (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) wj)) #s(approx (* (- 1 (/ 1 wj)) wj) #s(literal -1 binary64))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (* (- 1 (/ 1 wj)) wj) #s(literal -1 binary64))) |
#s(approx (* (- 1 (/ 1 wj)) wj) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 #s(literal 2 binary64) wj #s(literal 1 binary64))))) |
(/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 #s(literal 2 binary64) wj #s(literal 1 binary64)))) |
x |
#s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 #s(literal 2 binary64) wj #s(literal 1 binary64))) |
(fma.f64 #s(literal 2 binary64) wj #s(literal 1 binary64)) |
#s(literal 2 binary64) |
wj |
#s(literal 1 binary64) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) wj #s(literal 3/2 binary64)) wj #s(literal 2 binary64)) wj #s(literal 1 binary64))))) |
(/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) wj #s(literal 3/2 binary64)) wj #s(literal 2 binary64)) wj #s(literal 1 binary64)))) |
x |
#s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) wj #s(literal 3/2 binary64)) wj #s(literal 2 binary64)) wj #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) wj #s(literal 3/2 binary64)) wj #s(literal 2 binary64)) wj #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 2/3 binary64) wj #s(literal 3/2 binary64)) wj #s(literal 2 binary64)) |
(fma.f64 #s(literal 2/3 binary64) wj #s(literal 3/2 binary64)) |
#s(literal 2/3 binary64) |
wj |
#s(literal 3/2 binary64) |
#s(literal 2 binary64) |
#s(literal 1 binary64) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) wj (*.f64 #s(literal -2 binary64) x)) wj (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) wj (*.f64 #s(literal -2 binary64) x)) wj) #s(literal 2 binary64)) (*.f64 x x))))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 x (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) wj (*.f64 #s(literal -2 binary64) x)) wj (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) wj (*.f64 #s(literal -2 binary64) x)) wj) #s(literal 2 binary64)) (*.f64 x x)))) |
(fma.f64 (fma.f64 (fma.f64 x (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj x) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) wj (*.f64 #s(literal -2 binary64) x)) wj (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) wj (*.f64 #s(literal -2 binary64) x)) wj) #s(literal 2 binary64)) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 x (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) wj (*.f64 #s(literal -2 binary64) x)) wj (neg.f64 x)) |
(fma.f64 (fma.f64 (fma.f64 x (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj (neg.f64 x)) |
(fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) wj (*.f64 #s(literal -2 binary64) x)) |
(fma.f64 (fma.f64 x (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) |
(fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) |
(fma.f64 x (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) (-.f64 #s(literal 1 binary64) wj)) |
#s(literal 5/2 binary64) |
x |
(-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)))) |
(fma.f64 (fma.f64 #s(literal -8/3 binary64) x #s(literal -1 binary64)) wj #s(literal 1 binary64)) |
(*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))) |
(*.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)) wj) |
wj |
(fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)) |
#s(literal 8/3 binary64) |
(*.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
(neg.f64 x) |
(-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) wj (*.f64 #s(literal -2 binary64) x)) wj) #s(literal 2 binary64)) (*.f64 x x)) |
(fma.f64 (neg.f64 x) x (pow.f64 (*.f64 (fma.f64 (fma.f64 x (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) wj (*.f64 #s(literal -2 binary64) x)) wj) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (fma.f64 (fma.f64 x (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj) #s(literal 2 binary64)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) wj (*.f64 #s(literal -2 binary64) x)) wj) |
(*.f64 (fma.f64 (fma.f64 x (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj) |
#s(literal 2 binary64) |
(*.f64 x x) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.26400375976844204 | (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) wj (*.f64 #s(literal -2 binary64) x)) wj) #s(literal 2 binary64)) | |
| accuracy | 3.0837640937944184 | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) wj (*.f64 #s(literal -2 binary64) x)) wj (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) wj (*.f64 #s(literal -2 binary64) x)) wj) #s(literal 2 binary64)) (*.f64 x x))))) | |
| accuracy | 4.8476211591134994 | (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) wj (*.f64 #s(literal -2 binary64) x)) wj) #s(literal 2 binary64)) (*.f64 x x)) | |
| accuracy | 22.414817200871763 | (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) wj (*.f64 #s(literal -2 binary64) x)) wj (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) wj (*.f64 #s(literal -2 binary64) x)) wj) #s(literal 2 binary64)) (*.f64 x x))) | |
| accuracy | 0.01953125 | (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) wj #s(literal 3/2 binary64)) wj #s(literal 2 binary64)) wj #s(literal 1 binary64)) | |
| accuracy | 0.0234375 | (fma.f64 #s(literal 2/3 binary64) wj #s(literal 3/2 binary64)) | |
| accuracy | 2.8002659367196223 | #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) wj #s(literal 3/2 binary64)) wj #s(literal 2 binary64)) wj #s(literal 1 binary64))) | |
| accuracy | 11.093125377676827 | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) wj #s(literal 3/2 binary64)) wj #s(literal 2 binary64)) wj #s(literal 1 binary64))))) | |
| accuracy | 0 | (fma.f64 #s(literal 2 binary64) wj #s(literal 1 binary64)) | |
| accuracy | 0.0078125 | (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 #s(literal 2 binary64) wj #s(literal 1 binary64)))) | |
| accuracy | 3.1801578757245954 | #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 #s(literal 2 binary64) wj #s(literal 1 binary64))) | |
| accuracy | 11.093125377676827 | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 #s(literal 2 binary64) wj #s(literal 1 binary64))))) | |
| accuracy | 3.7900781907637424 | #s(approx (* (- 1 (/ 1 wj)) wj) #s(literal -1 binary64)) | |
| accuracy | 61.14131182611052 | #s(approx (/ (- (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* wj wj)) (- (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) wj)) #s(approx (* (- 1 (/ 1 wj)) wj) #s(literal -1 binary64))) | |
| accuracy | 0.0078125 | (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) | |
| accuracy | 0.01171875 | (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj x) | |
| accuracy | 3.0837640937944184 | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj x)) | |
| accuracy | 30.753084708863206 | #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) |
| 83.0ms | 181× | 0 | valid |
| 61.0ms | 71× | 1 | valid |
| 5.0ms | 4× | 2 | valid |
Compiled 531 to 68 computations (87.2% saved)
ival-mult: 35.0ms (29.1% of total)ival-add: 21.0ms (17.5% of total)ival-div: 17.0ms (14.1% of total)ival-sub: 15.0ms (12.5% of total)adjust: 11.0ms (9.1% of total)const: 9.0ms (7.5% of total)ival-pow2: 6.0ms (5% of total)ival-exp: 4.0ms (3.3% of total)exact: 1.0ms (0.8% of total)ival-neg: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj x)) (patch #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj x) (patch (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj x) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) (patch (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) (patch #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* wj wj)) (- (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) wj)) #s(approx (* (- 1 (/ 1 wj)) wj) #s(literal -1 binary64))) (patch #s(approx (/ (- (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* wj wj)) (- (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) wj)) #s(approx (* (- 1 (/ 1 wj)) wj) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (- 1 (/ 1 wj)) wj) #s(literal -1 binary64)) (patch #s(approx (* (- 1 (/ 1 wj)) wj) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 #s(literal 2 binary64) wj #s(literal 1 binary64))))) (patch #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 #s(literal 2 binary64) wj #s(literal 1 binary64))))) #<representation binary64>) () ()) |
#s(alt (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 #s(literal 2 binary64) wj #s(literal 1 binary64)))) (patch (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 #s(literal 2 binary64) wj #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 #s(literal 2 binary64) wj #s(literal 1 binary64))) (patch #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 #s(literal 2 binary64) wj #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 2 binary64) wj #s(literal 1 binary64)) (patch (fma.f64 #s(literal 2 binary64) wj #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) wj #s(literal 3/2 binary64)) wj #s(literal 2 binary64)) wj #s(literal 1 binary64))))) (patch #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) wj #s(literal 3/2 binary64)) wj #s(literal 2 binary64)) wj #s(literal 1 binary64))))) #<representation binary64>) () ()) |
#s(alt (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) wj #s(literal 3/2 binary64)) wj #s(literal 2 binary64)) wj #s(literal 1 binary64)))) (patch (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) wj #s(literal 3/2 binary64)) wj #s(literal 2 binary64)) wj #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) wj #s(literal 3/2 binary64)) wj #s(literal 2 binary64)) wj #s(literal 1 binary64))) (patch #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) wj #s(literal 3/2 binary64)) wj #s(literal 2 binary64)) wj #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) wj #s(literal 3/2 binary64)) wj #s(literal 2 binary64)) wj #s(literal 1 binary64)) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) wj #s(literal 3/2 binary64)) wj #s(literal 2 binary64)) wj #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) wj (*.f64 #s(literal -2 binary64) x)) wj (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) wj (*.f64 #s(literal -2 binary64) x)) wj) #s(literal 2 binary64)) (*.f64 x x))) (patch (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) wj (*.f64 #s(literal -2 binary64) x)) wj (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) wj (*.f64 #s(literal -2 binary64) x)) wj) #s(literal 2 binary64)) (*.f64 x x))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) wj (*.f64 #s(literal -2 binary64) x)) wj (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) wj (*.f64 #s(literal -2 binary64) x)) wj) #s(literal 2 binary64)) (*.f64 x x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) wj (*.f64 #s(literal -2 binary64) x)) wj (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) wj (*.f64 #s(literal -2 binary64) x)) wj) #s(literal 2 binary64)) (*.f64 x x)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) (patch (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)))) (patch (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 2/3 binary64) wj #s(literal 3/2 binary64)) (patch (fma.f64 #s(literal 2/3 binary64) wj #s(literal 3/2 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) wj (*.f64 #s(literal -2 binary64) x)) wj) #s(literal 2 binary64)) (*.f64 x x)) (patch (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) wj (*.f64 #s(literal -2 binary64) x)) wj) #s(literal 2 binary64)) (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) wj (*.f64 #s(literal -2 binary64) x)) wj (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) wj (*.f64 #s(literal -2 binary64) x)) wj) #s(literal 2 binary64)) (*.f64 x x))))) (patch #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) wj (*.f64 #s(literal -2 binary64) x)) wj (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) wj (*.f64 #s(literal -2 binary64) x)) wj) #s(literal 2 binary64)) (*.f64 x x))))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) wj (*.f64 #s(literal -2 binary64) x)) wj) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) wj (*.f64 #s(literal -2 binary64) x)) wj) #s(literal 2 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 wj) (#s(alt #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj x)) (patch #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -2 (* wj x))) (taylor 0 wj) (#s(alt #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj x)) (patch #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* wj (- (* wj (- 1 (+ (* -4 x) (* 3/2 x)))) (* 2 x)))) (taylor 0 wj) (#s(alt #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj x)) (patch #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* wj (- (* wj (- (+ 1 (* -1 (* wj (+ 1 (+ (* -3 x) (+ (* -2 (+ (* -4 x) (* 3/2 x))) (* 2/3 x))))))) (+ (* -4 x) (* 3/2 x)))) (* 2 x)))) (taylor 0 wj) (#s(alt #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj x)) (patch #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 wj) (#s(alt (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj x) (patch (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -2 (* wj x))) (taylor 0 wj) (#s(alt (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj x) (patch (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* wj (+ (* -2 x) (* wj (+ 1 (* 5/2 x)))))) (taylor 0 wj) (#s(alt (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj x) (patch (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* wj (+ (* -2 x) (* wj (+ 1 (+ (* -1 (* wj (+ 1 (+ (* 2/3 x) (* 2 x))))) (* 5/2 x))))))) (taylor 0 wj) (#s(alt (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj x) (patch (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj x) #<representation binary64>) () ())) ()) |
#s(alt (* -2 x) (taylor 0 wj) (#s(alt (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) (patch (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -2 x) (* wj (+ 1 (* 5/2 x)))) (taylor 0 wj) (#s(alt (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) (patch (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -2 x) (* wj (+ 1 (+ (* -1 (* wj (+ 1 (+ (* 2/3 x) (* 2 x))))) (* 5/2 x))))) (taylor 0 wj) (#s(alt (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) (patch (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -2 x) (* wj (+ 1 (+ (* -1 (* wj (+ 1 (+ (* 2/3 x) (* 2 x))))) (* 5/2 x))))) (taylor 0 wj) (#s(alt (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) (patch (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* 5/2 x)) (taylor 0 wj) (#s(alt #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) (patch #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1 (* wj (+ 1 (+ (* 2/3 x) (* 2 x))))) (* 5/2 x))) (taylor 0 wj) (#s(alt #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) (patch #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1 (* wj (+ 1 (+ (* 2/3 x) (* 2 x))))) (* 5/2 x))) (taylor 0 wj) (#s(alt #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) (patch #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1 (* wj (+ 1 (+ (* 2/3 x) (* 2 x))))) (* 5/2 x))) (taylor 0 wj) (#s(alt #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) (patch #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 wj) (#s(alt #s(approx (/ (- (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* wj wj)) (- (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) wj)) #s(approx (* (- 1 (/ 1 wj)) wj) #s(literal -1 binary64))) (patch #s(approx (/ (- (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* wj wj)) (- (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) wj)) #s(approx (* (- 1 (/ 1 wj)) wj) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* wj (+ 2 (+ (* -1 (+ 2 (* 2 x))) (* 4 x)))))) (taylor 0 wj) (#s(alt #s(approx (/ (- (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* wj wj)) (- (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) wj)) #s(approx (* (- 1 (/ 1 wj)) wj) #s(literal -1 binary64))) (patch #s(approx (/ (- (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* wj wj)) (- (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) wj)) #s(approx (* (- 1 (/ 1 wj)) wj) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* wj (- (* wj (- (+ (* -4 x) (* 3/2 x)) (+ 3 (+ (* 4 (/ (- (* -2 x) (* 4 (pow x 2))) x)) (+ (* 7 x) (/ (* (+ 2 (* 2 x)) (+ 2 (+ (* -1 (+ 2 (* 2 x))) (* 4 x)))) x)))))) (+ 2 (+ (* -1 (+ 2 (* 2 x))) (* 4 x)))))) (taylor 0 wj) (#s(alt #s(approx (/ (- (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* wj wj)) (- (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) wj)) #s(approx (* (- 1 (/ 1 wj)) wj) #s(literal -1 binary64))) (patch #s(approx (/ (- (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* wj wj)) (- (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) wj)) #s(approx (* (- 1 (/ 1 wj)) wj) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* wj (- (* wj (- (+ (* -4 x) (+ (* 3/2 x) (* wj (- (* 2 (/ 1 x)) (+ 1 (+ (* -1 (+ 1 (+ (* -3 x) (+ (* -2 (+ (* -4 x) (* 3/2 x))) (* 2/3 x))))) (+ (* -1 (/ (* (+ 2 (* 2 x)) (- (+ (* -4 x) (* 3/2 x)) (+ 3 (+ (* 4 (/ (- (* -2 x) (* 4 (pow x 2))) x)) (+ (* 7 x) (/ (* (+ 2 (* 2 x)) (+ 2 (+ (* -1 (+ 2 (* 2 x))) (* 4 x)))) x)))))) x)) (+ (* -1 (/ (* (+ 2 (+ (* -1 (+ 2 (* 2 x))) (* 4 x))) (- 1 (+ (* -4 x) (* 3/2 x)))) x)) (+ (* 4 (/ (- (+ 1 (* -2 x)) (+ (* 4 (- (* -2 x) (* 4 (pow x 2)))) (* 7 (pow x 2)))) x)) (+ (* 7 (/ (- (* -2 x) (* 4 (pow x 2))) x)) (* 22/3 x))))))))))) (+ 3 (+ (* 4 (/ (- (* -2 x) (* 4 (pow x 2))) x)) (+ (* 7 x) (/ (* (+ 2 (* 2 x)) (+ 2 (+ (* -1 (+ 2 (* 2 x))) (* 4 x)))) x)))))) (+ 2 (+ (* -1 (+ 2 (* 2 x))) (* 4 x)))))) (taylor 0 wj) (#s(alt #s(approx (/ (- (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* wj wj)) (- (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) wj)) #s(approx (* (- 1 (/ 1 wj)) wj) #s(literal -1 binary64))) (patch #s(approx (/ (- (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* wj wj)) (- (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) wj)) #s(approx (* (- 1 (/ 1 wj)) wj) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 wj) (#s(alt #s(approx (* (- 1 (/ 1 wj)) wj) #s(literal -1 binary64)) (patch #s(approx (* (- 1 (/ 1 wj)) wj) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- wj 1) (taylor 0 wj) (#s(alt #s(approx (* (- 1 (/ 1 wj)) wj) #s(literal -1 binary64)) (patch #s(approx (* (- 1 (/ 1 wj)) wj) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- wj 1) (taylor 0 wj) (#s(alt #s(approx (* (- 1 (/ 1 wj)) wj) #s(literal -1 binary64)) (patch #s(approx (* (- 1 (/ 1 wj)) wj) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- wj 1) (taylor 0 wj) (#s(alt #s(approx (* (- 1 (/ 1 wj)) wj) #s(literal -1 binary64)) (patch #s(approx (* (- 1 (/ 1 wj)) wj) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 22.0ms | wj | @ | -inf | ((- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (/ (- (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* wj wj)) (- (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) wj)) (* (- 1 (/ 1 wj)) wj) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ x (+ (* (exp wj) wj) (exp wj))) (+ (* (exp wj) wj) (exp wj)) (+ (* 2 wj) 1) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ x (+ (* (exp wj) wj) (exp wj))) (+ (* (exp wj) wj) (exp wj)) (+ (* (+ (* (+ (* 2/3 wj) 3/2) wj) 2) wj) 1) (/ (+ (* (+ (* (+ (* 5/2 x) (- 1 (* wj (+ (* x 8/3) 1)))) wj) (* -2 x)) wj) (neg x)) (- (pow (* (+ (* (+ (* 5/2 x) (- 1 (* wj (+ (* x 8/3) 1)))) wj) (* -2 x)) wj) 2) (* x x))) (/ 1 (/ (+ (* (+ (* (+ (* 5/2 x) (- 1 (* wj (+ (* x 8/3) 1)))) wj) (* -2 x)) wj) (neg x)) (- (pow (* (+ (* (+ (* 5/2 x) (- 1 (* wj (+ (* x 8/3) 1)))) wj) (* -2 x)) wj) 2) (* x x)))) (+ (* 5/2 x) (- 1 (* wj (+ (* x 8/3) 1)))) (- 1 (* wj (+ (* x 8/3) 1))) (+ (* 2/3 wj) 3/2) (- (pow (* (+ (* (+ (* 5/2 x) (- 1 (* wj (+ (* x 8/3) 1)))) wj) (* -2 x)) wj) 2) (* x x)) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (pow (* (+ (* (+ (* 5/2 x) (- 1 (* wj (+ (* x 8/3) 1)))) wj) (* -2 x)) wj) 2)) |
| 7.0ms | x | @ | -inf | ((- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (/ (- (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* wj wj)) (- (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) wj)) (* (- 1 (/ 1 wj)) wj) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ x (+ (* (exp wj) wj) (exp wj))) (+ (* (exp wj) wj) (exp wj)) (+ (* 2 wj) 1) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ x (+ (* (exp wj) wj) (exp wj))) (+ (* (exp wj) wj) (exp wj)) (+ (* (+ (* (+ (* 2/3 wj) 3/2) wj) 2) wj) 1) (/ (+ (* (+ (* (+ (* 5/2 x) (- 1 (* wj (+ (* x 8/3) 1)))) wj) (* -2 x)) wj) (neg x)) (- (pow (* (+ (* (+ (* 5/2 x) (- 1 (* wj (+ (* x 8/3) 1)))) wj) (* -2 x)) wj) 2) (* x x))) (/ 1 (/ (+ (* (+ (* (+ (* 5/2 x) (- 1 (* wj (+ (* x 8/3) 1)))) wj) (* -2 x)) wj) (neg x)) (- (pow (* (+ (* (+ (* 5/2 x) (- 1 (* wj (+ (* x 8/3) 1)))) wj) (* -2 x)) wj) 2) (* x x)))) (+ (* 5/2 x) (- 1 (* wj (+ (* x 8/3) 1)))) (- 1 (* wj (+ (* x 8/3) 1))) (+ (* 2/3 wj) 3/2) (- (pow (* (+ (* (+ (* 5/2 x) (- 1 (* wj (+ (* x 8/3) 1)))) wj) (* -2 x)) wj) 2) (* x x)) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (pow (* (+ (* (+ (* 5/2 x) (- 1 (* wj (+ (* x 8/3) 1)))) wj) (* -2 x)) wj) 2)) |
| 7.0ms | x | @ | inf | ((- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (/ (- (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* wj wj)) (- (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) wj)) (* (- 1 (/ 1 wj)) wj) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ x (+ (* (exp wj) wj) (exp wj))) (+ (* (exp wj) wj) (exp wj)) (+ (* 2 wj) 1) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ x (+ (* (exp wj) wj) (exp wj))) (+ (* (exp wj) wj) (exp wj)) (+ (* (+ (* (+ (* 2/3 wj) 3/2) wj) 2) wj) 1) (/ (+ (* (+ (* (+ (* 5/2 x) (- 1 (* wj (+ (* x 8/3) 1)))) wj) (* -2 x)) wj) (neg x)) (- (pow (* (+ (* (+ (* 5/2 x) (- 1 (* wj (+ (* x 8/3) 1)))) wj) (* -2 x)) wj) 2) (* x x))) (/ 1 (/ (+ (* (+ (* (+ (* 5/2 x) (- 1 (* wj (+ (* x 8/3) 1)))) wj) (* -2 x)) wj) (neg x)) (- (pow (* (+ (* (+ (* 5/2 x) (- 1 (* wj (+ (* x 8/3) 1)))) wj) (* -2 x)) wj) 2) (* x x)))) (+ (* 5/2 x) (- 1 (* wj (+ (* x 8/3) 1)))) (- 1 (* wj (+ (* x 8/3) 1))) (+ (* 2/3 wj) 3/2) (- (pow (* (+ (* (+ (* 5/2 x) (- 1 (* wj (+ (* x 8/3) 1)))) wj) (* -2 x)) wj) 2) (* x x)) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (pow (* (+ (* (+ (* 5/2 x) (- 1 (* wj (+ (* x 8/3) 1)))) wj) (* -2 x)) wj) 2)) |
| 6.0ms | x | @ | 0 | ((- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (/ (- (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* wj wj)) (- (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) wj)) (* (- 1 (/ 1 wj)) wj) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ x (+ (* (exp wj) wj) (exp wj))) (+ (* (exp wj) wj) (exp wj)) (+ (* 2 wj) 1) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ x (+ (* (exp wj) wj) (exp wj))) (+ (* (exp wj) wj) (exp wj)) (+ (* (+ (* (+ (* 2/3 wj) 3/2) wj) 2) wj) 1) (/ (+ (* (+ (* (+ (* 5/2 x) (- 1 (* wj (+ (* x 8/3) 1)))) wj) (* -2 x)) wj) (neg x)) (- (pow (* (+ (* (+ (* 5/2 x) (- 1 (* wj (+ (* x 8/3) 1)))) wj) (* -2 x)) wj) 2) (* x x))) (/ 1 (/ (+ (* (+ (* (+ (* 5/2 x) (- 1 (* wj (+ (* x 8/3) 1)))) wj) (* -2 x)) wj) (neg x)) (- (pow (* (+ (* (+ (* 5/2 x) (- 1 (* wj (+ (* x 8/3) 1)))) wj) (* -2 x)) wj) 2) (* x x)))) (+ (* 5/2 x) (- 1 (* wj (+ (* x 8/3) 1)))) (- 1 (* wj (+ (* x 8/3) 1))) (+ (* 2/3 wj) 3/2) (- (pow (* (+ (* (+ (* 5/2 x) (- 1 (* wj (+ (* x 8/3) 1)))) wj) (* -2 x)) wj) 2) (* x x)) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (pow (* (+ (* (+ (* 5/2 x) (- 1 (* wj (+ (* x 8/3) 1)))) wj) (* -2 x)) wj) 2)) |
| 6.0ms | wj | @ | inf | ((- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (/ (- (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* wj wj)) (- (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) wj)) (* (- 1 (/ 1 wj)) wj) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ x (+ (* (exp wj) wj) (exp wj))) (+ (* (exp wj) wj) (exp wj)) (+ (* 2 wj) 1) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ x (+ (* (exp wj) wj) (exp wj))) (+ (* (exp wj) wj) (exp wj)) (+ (* (+ (* (+ (* 2/3 wj) 3/2) wj) 2) wj) 1) (/ (+ (* (+ (* (+ (* 5/2 x) (- 1 (* wj (+ (* x 8/3) 1)))) wj) (* -2 x)) wj) (neg x)) (- (pow (* (+ (* (+ (* 5/2 x) (- 1 (* wj (+ (* x 8/3) 1)))) wj) (* -2 x)) wj) 2) (* x x))) (/ 1 (/ (+ (* (+ (* (+ (* 5/2 x) (- 1 (* wj (+ (* x 8/3) 1)))) wj) (* -2 x)) wj) (neg x)) (- (pow (* (+ (* (+ (* 5/2 x) (- 1 (* wj (+ (* x 8/3) 1)))) wj) (* -2 x)) wj) 2) (* x x)))) (+ (* 5/2 x) (- 1 (* wj (+ (* x 8/3) 1)))) (- 1 (* wj (+ (* x 8/3) 1))) (+ (* 2/3 wj) 3/2) (- (pow (* (+ (* (+ (* 5/2 x) (- 1 (* wj (+ (* x 8/3) 1)))) wj) (* -2 x)) wj) 2) (* x x)) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (pow (* (+ (* (+ (* 5/2 x) (- 1 (* wj (+ (* x 8/3) 1)))) wj) (* -2 x)) wj) 2)) |
| 1× | egg-herbie |
| 6 396× | lower-*.f64 |
| 6 396× | lower-*.f32 |
| 6 168× | lower-fma.f64 |
| 6 168× | lower-fma.f32 |
| 4 650× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1205 | 15528 |
| 1 | 4140 | 15182 |
| 0 | 8704 | 13663 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(+ x (* -2 (* wj x))) |
(+ x (* wj (- (* wj (- 1 (+ (* -4 x) (* 3/2 x)))) (* 2 x)))) |
(+ x (* wj (- (* wj (- (+ 1 (* -1 (* wj (+ 1 (+ (* -3 x) (+ (* -2 (+ (* -4 x) (* 3/2 x))) (* 2/3 x))))))) (+ (* -4 x) (* 3/2 x)))) (* 2 x)))) |
x |
(+ x (* -2 (* wj x))) |
(+ x (* wj (+ (* -2 x) (* wj (+ 1 (* 5/2 x)))))) |
(+ x (* wj (+ (* -2 x) (* wj (+ 1 (+ (* -1 (* wj (+ 1 (+ (* 2/3 x) (* 2 x))))) (* 5/2 x))))))) |
(* -2 x) |
(+ (* -2 x) (* wj (+ 1 (* 5/2 x)))) |
(+ (* -2 x) (* wj (+ 1 (+ (* -1 (* wj (+ 1 (+ (* 2/3 x) (* 2 x))))) (* 5/2 x))))) |
(+ (* -2 x) (* wj (+ 1 (+ (* -1 (* wj (+ 1 (+ (* 2/3 x) (* 2 x))))) (* 5/2 x))))) |
(+ 1 (* 5/2 x)) |
(+ 1 (+ (* -1 (* wj (+ 1 (+ (* 2/3 x) (* 2 x))))) (* 5/2 x))) |
(+ 1 (+ (* -1 (* wj (+ 1 (+ (* 2/3 x) (* 2 x))))) (* 5/2 x))) |
(+ 1 (+ (* -1 (* wj (+ 1 (+ (* 2/3 x) (* 2 x))))) (* 5/2 x))) |
x |
(+ x (* -1 (* wj (+ 2 (+ (* -1 (+ 2 (* 2 x))) (* 4 x)))))) |
(+ x (* wj (- (* wj (- (+ (* -4 x) (* 3/2 x)) (+ 3 (+ (* 4 (/ (- (* -2 x) (* 4 (pow x 2))) x)) (+ (* 7 x) (/ (* (+ 2 (* 2 x)) (+ 2 (+ (* -1 (+ 2 (* 2 x))) (* 4 x)))) x)))))) (+ 2 (+ (* -1 (+ 2 (* 2 x))) (* 4 x)))))) |
(+ x (* wj (- (* wj (- (+ (* -4 x) (+ (* 3/2 x) (* wj (- (* 2 (/ 1 x)) (+ 1 (+ (* -1 (+ 1 (+ (* -3 x) (+ (* -2 (+ (* -4 x) (* 3/2 x))) (* 2/3 x))))) (+ (* -1 (/ (* (+ 2 (* 2 x)) (- (+ (* -4 x) (* 3/2 x)) (+ 3 (+ (* 4 (/ (- (* -2 x) (* 4 (pow x 2))) x)) (+ (* 7 x) (/ (* (+ 2 (* 2 x)) (+ 2 (+ (* -1 (+ 2 (* 2 x))) (* 4 x)))) x)))))) x)) (+ (* -1 (/ (* (+ 2 (+ (* -1 (+ 2 (* 2 x))) (* 4 x))) (- 1 (+ (* -4 x) (* 3/2 x)))) x)) (+ (* 4 (/ (- (+ 1 (* -2 x)) (+ (* 4 (- (* -2 x) (* 4 (pow x 2)))) (* 7 (pow x 2)))) x)) (+ (* 7 (/ (- (* -2 x) (* 4 (pow x 2))) x)) (* 22/3 x))))))))))) (+ 3 (+ (* 4 (/ (- (* -2 x) (* 4 (pow x 2))) x)) (+ (* 7 x) (/ (* (+ 2 (* 2 x)) (+ 2 (+ (* -1 (+ 2 (* 2 x))) (* 4 x)))) x)))))) (+ 2 (+ (* -1 (+ 2 (* 2 x))) (* 4 x)))))) |
-1 |
(- wj 1) |
(- wj 1) |
(- wj 1) |
x |
(+ x (* -2 (* wj x))) |
(+ x (* wj (- (* wj (- 1 (+ (* -4 x) (* 3/2 x)))) (* 2 x)))) |
(+ x (* wj (- (* wj (- (+ 1 (* -1 (* wj (+ 1 (+ (* -3 x) (+ (* -2 (+ (* -4 x) (* 3/2 x))) (* 2/3 x))))))) (+ (* -4 x) (* 3/2 x)))) (* 2 x)))) |
x |
(+ x (* -2 (* wj x))) |
(+ x (* wj (- (* -1 (* wj (+ (* -4 x) (* 3/2 x)))) (* 2 x)))) |
(+ x (* wj (- (* wj (- (* -1 (* wj (+ (* -3 x) (+ (* -2 (+ (* -4 x) (* 3/2 x))) (* 2/3 x))))) (+ (* -4 x) (* 3/2 x)))) (* 2 x)))) |
1 |
(+ 1 (* 2 wj)) |
(+ 1 (* wj (+ 2 (* 3/2 wj)))) |
(+ 1 (* wj (+ 2 (* wj (+ 3/2 (* 2/3 wj)))))) |
1 |
(+ 1 (* 2 wj)) |
(+ 1 (* 2 wj)) |
(+ 1 (* 2 wj)) |
x |
(+ x (* -2 (* wj x))) |
(+ x (* wj (- (* wj (- 1 (+ (* -4 x) (* 3/2 x)))) (* 2 x)))) |
(+ x (* wj (- (* wj (- (+ 1 (* -1 (* wj (+ 1 (+ (* -3 x) (+ (* -2 (+ (* -4 x) (* 3/2 x))) (* 2/3 x))))))) (+ (* -4 x) (* 3/2 x)))) (* 2 x)))) |
x |
(+ x (* -2 (* wj x))) |
(+ x (* wj (- (* -1 (* wj (+ (* -4 x) (* 3/2 x)))) (* 2 x)))) |
(+ x (* wj (- (* wj (- (* -1 (* wj (+ (* -3 x) (+ (* -2 (+ (* -4 x) (* 3/2 x))) (* 2/3 x))))) (+ (* -4 x) (* 3/2 x)))) (* 2 x)))) |
1 |
(+ 1 (* 2 wj)) |
(+ 1 (* wj (+ 2 (* 3/2 wj)))) |
(+ 1 (* wj (+ 2 (* wj (+ 3/2 (* 2/3 wj)))))) |
1 |
(+ 1 (* 2 wj)) |
(+ 1 (* wj (+ 2 (* 3/2 wj)))) |
(+ 1 (* wj (+ 2 (* wj (+ 3/2 (* 2/3 wj)))))) |
(/ 1 x) |
(+ (* 2 (/ wj x)) (/ 1 x)) |
(+ (* wj (+ (* wj (+ (* -1 (/ (+ 1 (* 5/2 x)) (pow x 2))) (* 4 (/ 1 x)))) (* 2 (/ 1 x)))) (/ 1 x)) |
(+ (* wj (+ (* wj (+ (* -1 (/ (+ 1 (* 5/2 x)) (pow x 2))) (+ (* 4 (/ 1 x)) (* wj (- (+ (* 8/3 (/ 1 x)) (+ (* 8 (/ 1 x)) (/ 1 (pow x 2)))) (* 4 (/ (+ 1 (* 5/2 x)) (pow x 2)))))))) (* 2 (/ 1 x)))) (/ 1 x)) |
x |
(+ x (* -2 (* wj x))) |
(+ x (* wj (- (* wj (+ 1 (* 5/2 x))) (* 2 x)))) |
(+ x (* wj (- (* wj (- (* -1 (* wj (+ 1 (* 8/3 x)))) (* -1 (+ 1 (* 5/2 x))))) (* 2 x)))) |
(+ 1 (* 5/2 x)) |
(+ 1 (+ (* -1 (* wj (+ 1 (* 8/3 x)))) (* 5/2 x))) |
(+ 1 (+ (* -1 (* wj (+ 1 (* 8/3 x)))) (* 5/2 x))) |
(+ 1 (+ (* -1 (* wj (+ 1 (* 8/3 x)))) (* 5/2 x))) |
1 |
(+ 1 (* -1 (* wj (+ 1 (* 8/3 x))))) |
(+ 1 (* -1 (* wj (+ 1 (* 8/3 x))))) |
(+ 1 (* -1 (* wj (+ 1 (* 8/3 x))))) |
3/2 |
(+ 3/2 (* 2/3 wj)) |
(+ 3/2 (* 2/3 wj)) |
(+ 3/2 (* 2/3 wj)) |
(* -1 (pow x 2)) |
(- (* 4 (* (pow wj 2) (pow x 2))) (pow x 2)) |
(- (* (pow wj 2) (+ (* -4 (* wj (* x (+ 1 (* 5/2 x))))) (* 4 (pow x 2)))) (pow x 2)) |
(- (* (pow wj 2) (+ (* 4 (pow x 2)) (* wj (+ (* -4 (* x (+ 1 (* 5/2 x)))) (* wj (+ (* 4 (* x (+ 1 (* 8/3 x)))) (pow (+ 1 (* 5/2 x)) 2))))))) (pow x 2)) |
x |
(+ x (* -2 (* wj x))) |
(+ x (* wj (- (* wj (- 1 (+ (* -4 x) (* 3/2 x)))) (* 2 x)))) |
(+ x (* wj (- (* wj (- (+ 1 (* -1 (* wj (+ 1 (+ (* -3 x) (+ (* -2 (+ (* -4 x) (* 3/2 x))) (* 2/3 x))))))) (+ (* -4 x) (* 3/2 x)))) (* 2 x)))) |
(* 4 (* (pow wj 2) (pow x 2))) |
(* (pow wj 2) (+ (* -4 (* wj (* x (+ 1 (* 5/2 x))))) (* 4 (pow x 2)))) |
(* (pow wj 2) (+ (* 4 (pow x 2)) (* wj (+ (* -4 (* x (+ 1 (* 5/2 x)))) (* wj (+ (* 4 (* x (+ 1 (* 8/3 x)))) (pow (+ 1 (* 5/2 x)) 2))))))) |
(* (pow wj 2) (+ (* 4 (pow x 2)) (* wj (+ (* -4 (* x (+ 1 (* 5/2 x)))) (* wj (+ (* -2 (* wj (* (+ 1 (* 5/2 x)) (+ 1 (* 8/3 x))))) (+ (* 4 (* x (+ 1 (* 8/3 x)))) (pow (+ 1 (* 5/2 x)) 2)))))))) |
wj |
(* wj (- 1 (/ 1 wj))) |
(* wj (- (+ 1 (+ (/ 1 (pow wj 2)) (/ x (* (pow wj 2) (exp wj))))) (/ 1 wj))) |
(* wj (- (+ 1 (+ (* -1 (/ (+ 1 (/ x (exp wj))) (pow wj 3))) (+ (/ 1 (pow wj 2)) (/ x (* (pow wj 2) (exp wj)))))) (/ 1 wj))) |
(* -1 (* (pow wj 3) (+ 1 (+ (* 2/3 x) (* 2 x))))) |
(* (pow wj 3) (- (+ (* 5/2 (/ x wj)) (/ 1 wj)) (+ 1 (+ (* 2/3 x) (* 2 x))))) |
(* (pow wj 3) (- (+ (* -2 (/ x (pow wj 2))) (+ (* 5/2 (/ x wj)) (/ 1 wj))) (+ 1 (+ (* 2/3 x) (* 2 x))))) |
(* (pow wj 3) (- (+ (* -2 (/ x (pow wj 2))) (+ (* 5/2 (/ x wj)) (+ (/ 1 wj) (/ x (pow wj 3))))) (+ 1 (+ (* 2/3 x) (* 2 x))))) |
(* -1 (* (pow wj 2) (+ 1 (+ (* 2/3 x) (* 2 x))))) |
(* (pow wj 2) (- (+ (* 5/2 (/ x wj)) (/ 1 wj)) (+ 1 (+ (* 2/3 x) (* 2 x))))) |
(* (pow wj 2) (- (+ (* -2 (/ x (pow wj 2))) (+ (* 5/2 (/ x wj)) (/ 1 wj))) (+ 1 (+ (* 2/3 x) (* 2 x))))) |
(* (pow wj 2) (- (+ (* -2 (/ x (pow wj 2))) (+ (* 5/2 (/ x wj)) (/ 1 wj))) (+ 1 (+ (* 2/3 x) (* 2 x))))) |
(* -1 (* wj (+ 1 (+ (* 2/3 x) (* 2 x))))) |
(* wj (- (+ (* 5/2 (/ x wj)) (/ 1 wj)) (+ 1 (+ (* 2/3 x) (* 2 x))))) |
(* wj (- (+ (* 5/2 (/ x wj)) (/ 1 wj)) (+ 1 (+ (* 2/3 x) (* 2 x))))) |
(* wj (- (+ (* 5/2 (/ x wj)) (/ 1 wj)) (+ 1 (+ (* 2/3 x) (* 2 x))))) |
wj |
(* wj (- 1 (/ 1 wj))) |
(* wj (- (+ 1 (+ (/ 1 (pow wj 2)) (/ x (* (pow wj 2) (exp wj))))) (/ 1 wj))) |
(* wj (- (+ 1 (* -1 (/ (- (* -2 (/ x (exp wj))) 2) (pow wj 3)))) (+ (* -1 (/ (+ 1 (/ x (exp wj))) (pow wj 2))) (+ (* 3 (/ x (* (pow wj 3) (exp wj)))) (+ (/ 1 wj) (* 3 (/ 1 (pow wj 3)))))))) |
wj |
(* wj (- 1 (/ 1 wj))) |
(* wj (- 1 (/ 1 wj))) |
(* wj (- 1 (/ 1 wj))) |
wj |
(* wj (- 1 (/ 1 wj))) |
(* wj (- (+ 1 (+ (/ 1 (pow wj 2)) (/ x (* (pow wj 2) (exp wj))))) (/ 1 wj))) |
(* wj (- (+ 1 (+ (* -1 (/ (+ 1 (/ x (exp wj))) (pow wj 3))) (+ (/ 1 (pow wj 2)) (/ x (* (pow wj 2) (exp wj)))))) (/ 1 wj))) |
(/ x (* wj (exp wj))) |
(/ (+ (* -1 (/ x (* wj (exp wj)))) (/ x (exp wj))) wj) |
(/ (- (+ (/ x (exp wj)) (/ x (* (pow wj 2) (exp wj)))) (/ x (* wj (exp wj)))) wj) |
(/ (- (+ (* -1 (/ x (* (pow wj 3) (exp wj)))) (/ x (exp wj))) (+ (* -1 (/ x (* (pow wj 2) (exp wj)))) (/ x (* wj (exp wj))))) wj) |
(* wj (exp wj)) |
(* wj (+ (exp wj) (/ (exp wj) wj))) |
(* wj (+ (exp wj) (/ (exp wj) wj))) |
(* wj (+ (exp wj) (/ (exp wj) wj))) |
(* 2 wj) |
(* wj (+ 2 (/ 1 wj))) |
(* wj (+ 2 (/ 1 wj))) |
(* wj (+ 2 (/ 1 wj))) |
wj |
(* wj (- 1 (/ 1 wj))) |
(* wj (- (+ 1 (+ (/ 1 (pow wj 2)) (/ x (* (pow wj 2) (exp wj))))) (/ 1 wj))) |
(* wj (- (+ 1 (+ (* -1 (/ (+ 1 (/ x (exp wj))) (pow wj 3))) (+ (/ 1 (pow wj 2)) (/ x (* (pow wj 2) (exp wj)))))) (/ 1 wj))) |
(/ x (* wj (exp wj))) |
(/ (+ (* -1 (/ x (* wj (exp wj)))) (/ x (exp wj))) wj) |
(/ (- (+ (/ x (exp wj)) (/ x (* (pow wj 2) (exp wj)))) (/ x (* wj (exp wj)))) wj) |
(/ (- (+ (* -1 (/ x (* (pow wj 3) (exp wj)))) (/ x (exp wj))) (+ (* -1 (/ x (* (pow wj 2) (exp wj)))) (/ x (* wj (exp wj))))) wj) |
(* wj (exp wj)) |
(* wj (+ (exp wj) (/ (exp wj) wj))) |
(* wj (+ (exp wj) (/ (exp wj) wj))) |
(* wj (+ (exp wj) (/ (exp wj) wj))) |
(* 2/3 (pow wj 3)) |
(* (pow wj 3) (+ 2/3 (* 3/2 (/ 1 wj)))) |
(* (pow wj 3) (+ 2/3 (+ (* 3/2 (/ 1 wj)) (/ 2 (pow wj 2))))) |
(* (pow wj 3) (+ 2/3 (+ (* 3/2 (/ 1 wj)) (+ (/ 1 (pow wj 3)) (/ 2 (pow wj 2)))))) |
(/ -1 (* (pow wj 3) (+ 1 (* 8/3 x)))) |
(/ (- (+ (* 5/2 (/ x (* wj (pow (+ 1 (* 8/3 x)) 2)))) (/ 1 (* wj (pow (+ 1 (* 8/3 x)) 2)))) (+ (* 2 (/ (+ 1 (* 5/2 x)) (* wj (pow (+ 1 (* 8/3 x)) 2)))) (/ 1 (+ 1 (* 8/3 x))))) (pow wj 3)) |
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(* -1 (* (pow wj 3) (+ 1 (* 8/3 x)))) |
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(* -1 (* wj (+ 1 (* 8/3 x)))) |
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(* 2/3 wj) |
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(* wj (+ 2/3 (* 3/2 (/ 1 wj)))) |
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(* (pow wj 6) (+ (* -2 (/ (* (+ 1 (* 5/2 x)) (+ 1 (* 8/3 x))) wj)) (pow (+ 1 (* 8/3 x)) 2))) |
(* (pow wj 6) (+ (* -2 (/ (* (+ 1 (* 5/2 x)) (+ 1 (* 8/3 x))) wj)) (+ (* 4 (/ (* x (+ 1 (* 8/3 x))) (pow wj 2))) (+ (/ (pow (+ 1 (* 5/2 x)) 2) (pow wj 2)) (pow (+ 1 (* 8/3 x)) 2))))) |
(* (pow wj 6) (+ (* -4 (/ (* x (+ 1 (* 5/2 x))) (pow wj 3))) (+ (* -2 (/ (* (+ 1 (* 5/2 x)) (+ 1 (* 8/3 x))) wj)) (+ (* 4 (/ (* x (+ 1 (* 8/3 x))) (pow wj 2))) (+ (/ (pow (+ 1 (* 5/2 x)) 2) (pow wj 2)) (pow (+ 1 (* 8/3 x)) 2)))))) |
wj |
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(* (pow wj 6) (pow (+ 1 (* 8/3 x)) 2)) |
(* (pow wj 6) (+ (* -2 (/ (* (+ 1 (* 5/2 x)) (+ 1 (* 8/3 x))) wj)) (pow (+ 1 (* 8/3 x)) 2))) |
(* (pow wj 6) (+ (* -2 (/ (* (+ 1 (* 5/2 x)) (+ 1 (* 8/3 x))) wj)) (+ (* 4 (/ (* x (+ 1 (* 8/3 x))) (pow wj 2))) (+ (/ (pow (+ 1 (* 5/2 x)) 2) (pow wj 2)) (pow (+ 1 (* 8/3 x)) 2))))) |
(* (pow wj 6) (+ (* -4 (/ (* x (+ 1 (* 5/2 x))) (pow wj 3))) (+ (* -2 (/ (* (+ 1 (* 5/2 x)) (+ 1 (* 8/3 x))) wj)) (+ (* 4 (/ (* x (+ 1 (* 8/3 x))) (pow wj 2))) (+ (/ (pow (+ 1 (* 5/2 x)) 2) (pow wj 2)) (pow (+ 1 (* 8/3 x)) 2)))))) |
wj |
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(* -1 (* (pow wj 3) (+ 1 (+ (* -1 (/ (+ 1 (+ (* -2 (/ x wj)) (* 5/2 x))) wj)) (+ (* 2/3 x) (* 2 x)))))) |
(* -1 (* (pow wj 3) (+ 1 (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ (* -1 (/ x wj)) (* 2 x)) wj)) (* 5/2 x))) wj)) (+ (* 2/3 x) (* 2 x)))))) |
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(* (pow wj 2) (+ (* -1 (+ 1 (+ (* 2/3 x) (* 2 x)))) (+ (* 5/2 (/ x wj)) (/ 1 wj)))) |
(* (pow wj 2) (+ (* -1 (+ 1 (+ (* 2/3 x) (* 2 x)))) (* -1 (/ (+ (* -1 (+ 1 (* 5/2 x))) (* 2 (/ x wj))) wj)))) |
(* (pow wj 2) (+ (* -1 (+ 1 (+ (* 2/3 x) (* 2 x)))) (* -1 (/ (+ (* -1 (+ 1 (* 5/2 x))) (* 2 (/ x wj))) wj)))) |
(* -1 (* wj (+ 1 (+ (* 2/3 x) (* 2 x))))) |
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wj |
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(* -1 (* wj (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ 1 (* 2 (/ x (exp wj)))) (+ (* -2 (- (* -1 (/ x (exp wj))) 1)) (/ x (exp wj)))) wj)) (* -1 (- (* -1 (/ x (exp wj))) 1))) wj)) 1) wj)) 1))) |
wj |
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wj |
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(/ x (* wj (exp wj))) |
(* -1 (/ (+ (* -1 (/ x (exp wj))) (/ x (* wj (exp wj)))) wj)) |
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wj |
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(/ x (* wj (exp wj))) |
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(/ -1 (* (pow wj 3) (+ 1 (* 8/3 x)))) |
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(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 2 (/ x (pow (+ 1 (* 8/3 x)) 2))) (+ (* 2 (/ (* (+ 1 (* 5/2 x)) (- (+ (* 5/2 (/ x (pow (+ 1 (* 8/3 x)) 2))) (/ 1 (pow (+ 1 (* 8/3 x)) 2))) (* 2 (/ (+ 1 (* 5/2 x)) (pow (+ 1 (* 8/3 x)) 2))))) (+ 1 (* 8/3 x)))) (+ (* 4 (/ x (pow (+ 1 (* 8/3 x)) 2))) (/ (pow (+ 1 (* 5/2 x)) 2) (pow (+ 1 (* 8/3 x)) 3))))) wj)) (+ (* 5/2 (/ x (pow (+ 1 (* 8/3 x)) 2))) (/ 1 (pow (+ 1 (* 8/3 x)) 2)))) (* 2 (/ (+ 1 (* 5/2 x)) (pow (+ 1 (* 8/3 x)) 2)))) wj)) (/ 1 (+ 1 (* 8/3 x)))) (pow wj 3))) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ x (pow (+ 1 (* 8/3 x)) 2))) (+ (* 2 (/ (* (+ 1 (* 5/2 x)) (- (* 2 (/ x (pow (+ 1 (* 8/3 x)) 2))) (+ (* 2 (/ (* (+ 1 (* 5/2 x)) (- (+ (* 5/2 (/ x (pow (+ 1 (* 8/3 x)) 2))) (/ 1 (pow (+ 1 (* 8/3 x)) 2))) (* 2 (/ (+ 1 (* 5/2 x)) (pow (+ 1 (* 8/3 x)) 2))))) (+ 1 (* 8/3 x)))) (+ (* 4 (/ x (pow (+ 1 (* 8/3 x)) 2))) (/ (pow (+ 1 (* 5/2 x)) 2) (pow (+ 1 (* 8/3 x)) 3)))))) (+ 1 (* 8/3 x)))) (+ (* 4 (/ (* x (+ 1 (* 5/2 x))) (pow (+ 1 (* 8/3 x)) 3))) (/ (* (+ (* 4 (* x (+ 1 (* 8/3 x)))) (pow (+ 1 (* 5/2 x)) 2)) (- (+ (* 5/2 (/ x (pow (+ 1 (* 8/3 x)) 2))) (/ 1 (pow (+ 1 (* 8/3 x)) 2))) (* 2 (/ (+ 1 (* 5/2 x)) (pow (+ 1 (* 8/3 x)) 2))))) (pow (+ 1 (* 8/3 x)) 2))))) wj)) (* 2 (/ x (pow (+ 1 (* 8/3 x)) 2)))) (+ (* 2 (/ (* (+ 1 (* 5/2 x)) (- (+ (* 5/2 (/ x (pow (+ 1 (* 8/3 x)) 2))) (/ 1 (pow (+ 1 (* 8/3 x)) 2))) (* 2 (/ (+ 1 (* 5/2 x)) (pow (+ 1 (* 8/3 x)) 2))))) (+ 1 (* 8/3 x)))) (+ (* 4 (/ x (pow (+ 1 (* 8/3 x)) 2))) (/ (pow (+ 1 (* 5/2 x)) 2) (pow (+ 1 (* 8/3 x)) 3))))) wj)) (+ (* 5/2 (/ x (pow (+ 1 (* 8/3 x)) 2))) (/ 1 (pow (+ 1 (* 8/3 x)) 2)))) (* 2 (/ (+ 1 (* 5/2 x)) (pow (+ 1 (* 8/3 x)) 2)))) wj)) (/ 1 (+ 1 (* 8/3 x)))) (pow wj 3))) |
(* -1 (* (pow wj 3) (+ 1 (* 8/3 x)))) |
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(* -1 (* (pow wj 3) (+ 1 (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 4 x) (/ (pow (+ 1 (* 5/2 x)) 2) (+ 1 (* 8/3 x)))) (+ (* 2 x) (/ (* (+ 1 (* 5/2 x)) (- (* 2 (+ 1 (* 5/2 x))) (+ 1 (* 5/2 x)))) (+ 1 (* 8/3 x))))) wj)) (* 2 (+ 1 (* 5/2 x)))) (+ 1 (* 5/2 x))) wj)) (* 8/3 x))))) |
(* -1 (* (pow wj 3) (+ 1 (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 4 (/ (* x (+ 1 (* 5/2 x))) (+ 1 (* 8/3 x)))) (+ (* -1 x) (+ (* 2 (/ (* x (- (* 2 (+ 1 (* 5/2 x))) (+ 1 (* 5/2 x)))) (+ 1 (* 8/3 x)))) (/ (* (+ 1 (* 5/2 x)) (- (+ (* 4 x) (/ (pow (+ 1 (* 5/2 x)) 2) (+ 1 (* 8/3 x)))) (+ (* 2 x) (/ (* (+ 1 (* 5/2 x)) (- (* 2 (+ 1 (* 5/2 x))) (+ 1 (* 5/2 x)))) (+ 1 (* 8/3 x)))))) (+ 1 (* 8/3 x)))))) wj)) (+ (* 4 x) (/ (pow (+ 1 (* 5/2 x)) 2) (+ 1 (* 8/3 x))))) (+ (* 2 x) (/ (* (+ 1 (* 5/2 x)) (- (* 2 (+ 1 (* 5/2 x))) (+ 1 (* 5/2 x)))) (+ 1 (* 8/3 x))))) wj)) (* 2 (+ 1 (* 5/2 x)))) (+ 1 (* 5/2 x))) wj)) (* 8/3 x))))) |
(* -1 (* wj (+ 1 (* 8/3 x)))) |
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(* -1 (* wj (+ 1 (* 8/3 x)))) |
(* wj (+ (* -1 (+ 1 (* 8/3 x))) (/ 1 wj))) |
(* wj (+ (* -1 (+ 1 (* 8/3 x))) (/ 1 wj))) |
(* wj (+ (* -1 (+ 1 (* 8/3 x))) (/ 1 wj))) |
(* 2/3 wj) |
(* wj (+ 2/3 (* 3/2 (/ 1 wj)))) |
(* wj (+ 2/3 (* 3/2 (/ 1 wj)))) |
(* wj (+ 2/3 (* 3/2 (/ 1 wj)))) |
(* (pow wj 6) (pow (+ 1 (* 8/3 x)) 2)) |
(* (pow wj 6) (+ (* -2 (/ (* (+ 1 (* 5/2 x)) (+ 1 (* 8/3 x))) wj)) (pow (+ 1 (* 8/3 x)) 2))) |
(* (pow wj 6) (+ (* -1 (/ (+ (* -1 (/ (+ (* 4 (* x (+ 1 (* 8/3 x)))) (pow (+ 1 (* 5/2 x)) 2)) wj)) (* 2 (* (+ 1 (* 5/2 x)) (+ 1 (* 8/3 x))))) wj)) (pow (+ 1 (* 8/3 x)) 2))) |
(* (pow wj 6) (+ (* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (* x (+ 1 (* 5/2 x))) wj)) (+ (* 4 (* x (+ 1 (* 8/3 x)))) (pow (+ 1 (* 5/2 x)) 2))) wj)) (* 2 (* (+ 1 (* 5/2 x)) (+ 1 (* 8/3 x))))) wj)) (pow (+ 1 (* 8/3 x)) 2))) |
wj |
(* -1 (* wj (- (/ 1 wj) 1))) |
(* -1 (* wj (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ x (exp wj))) 1) wj)) 1) wj)) 1))) |
(* -1 (* wj (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ x (exp wj))) (+ (/ 1 wj) (/ x (* wj (exp wj))))) 1) wj)) 1) wj)) 1))) |
(* (pow wj 6) (pow (+ 1 (* 8/3 x)) 2)) |
(* (pow wj 6) (+ (* -2 (/ (* (+ 1 (* 5/2 x)) (+ 1 (* 8/3 x))) wj)) (pow (+ 1 (* 8/3 x)) 2))) |
(* (pow wj 6) (+ (* -1 (/ (+ (* -1 (/ (+ (* 4 (* x (+ 1 (* 8/3 x)))) (pow (+ 1 (* 5/2 x)) 2)) wj)) (* 2 (* (+ 1 (* 5/2 x)) (+ 1 (* 8/3 x))))) wj)) (pow (+ 1 (* 8/3 x)) 2))) |
(* (pow wj 6) (+ (* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (* x (+ 1 (* 5/2 x))) wj)) (+ (* 4 (* x (+ 1 (* 8/3 x)))) (pow (+ 1 (* 5/2 x)) 2))) wj)) (* 2 (* (+ 1 (* 5/2 x)) (+ 1 (* 8/3 x))))) wj)) (pow (+ 1 (* 8/3 x)) 2))) |
(- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) |
(- (+ wj (/ x (+ (exp wj) (* wj (exp wj))))) (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) |
(- (+ wj (/ x (+ (exp wj) (* wj (exp wj))))) (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) |
(- (+ wj (/ x (+ (exp wj) (* wj (exp wj))))) (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) |
(* (pow wj 2) (- 1 wj)) |
(+ (* x (+ 1 (* wj (- (* wj (- 5/2 (* 8/3 wj))) 2)))) (* (pow wj 2) (- 1 wj))) |
(+ (* x (+ 1 (* wj (- (* wj (- 5/2 (* 8/3 wj))) 2)))) (* (pow wj 2) (- 1 wj))) |
(+ (* x (+ 1 (* wj (- (* wj (- 5/2 (* 8/3 wj))) 2)))) (* (pow wj 2) (- 1 wj))) |
(* wj (- 1 wj)) |
(+ (* wj (- 1 wj)) (* x (- (* wj (- 5/2 (* 8/3 wj))) 2))) |
(+ (* wj (- 1 wj)) (* x (- (* wj (- 5/2 (* 8/3 wj))) 2))) |
(+ (* wj (- 1 wj)) (* x (- (* wj (- 5/2 (* 8/3 wj))) 2))) |
(- 1 wj) |
(- (+ 1 (* x (- 5/2 (* 8/3 wj)))) wj) |
(- (+ 1 (* x (- 5/2 (* 8/3 wj)))) wj) |
(- (+ 1 (* x (- 5/2 (* 8/3 wj)))) wj) |
(* -1 (/ (- (/ (* (pow wj 2) (pow (exp wj) 2)) (pow (+ (exp wj) (* wj (exp wj))) 2)) (pow wj 2)) (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))))) |
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(* -1 (/ (+ (* -1 (/ (- (/ (* (pow wj 2) (- 1 wj)) (- (* (pow wj 2) (pow (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))) 2)) 1)) (* 2 (/ (* (pow wj 3) (* (+ 1 (* wj (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))))) (* (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))) (- 1 wj)))) (pow (- (* (pow wj 2) (pow (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))) 2)) 1) 2)))) x)) (+ (/ 1 (- (* (pow wj 2) (pow (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))) 2)) 1)) (/ (* wj (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj)))))) (- (* (pow wj 2) (pow (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))) 2)) 1)))) x)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* 2 (/ (* (pow wj 3) (* (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))) (* (- 1 wj) (- (/ (* (pow wj 2) (- 1 wj)) (- (* (pow wj 2) (pow (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))) 2)) 1)) (* 2 (/ (* (pow wj 3) (* (+ 1 (* wj (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))))) (* (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))) (- 1 wj)))) (pow (- (* (pow wj 2) (pow (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))) 2)) 1) 2))))))) (* x (- (* (pow wj 2) (pow (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))) 2)) 1)))) (+ (/ (* (pow wj 2) (- 1 wj)) (- (* (pow wj 2) (pow (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))) 2)) 1)) (/ (* (pow wj 4) (* (+ 1 (* wj (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))))) (pow (- 1 wj) 2))) (* x (pow (- (* (pow wj 2) (pow (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))) 2)) 1) 2))))) (* 2 (/ (* (pow wj 3) (* (+ 1 (* wj (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))))) (* (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))) (- 1 wj)))) (pow (- (* (pow wj 2) (pow (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))) 2)) 1) 2)))) x)) (+ (/ 1 (- (* (pow wj 2) (pow (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))) 2)) 1)) (/ (* wj (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj)))))) (- (* (pow wj 2) (pow (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))) 2)) 1)))) x)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (pow wj 3) (* (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))) (* (+ (* 2 (/ (* (pow wj 3) (* (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))) (* (- 1 wj) (- (/ (* (pow wj 2) (- 1 wj)) (- (* (pow wj 2) (pow (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))) 2)) 1)) (* 2 (/ (* (pow wj 3) (* (+ 1 (* wj (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))))) (* (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))) (- 1 wj)))) (pow (- (* (pow wj 2) (pow (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))) 2)) 1) 2))))))) (- (* (pow wj 2) (pow (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))) 2)) 1))) (/ (* (pow wj 4) (* (+ 1 (* wj (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))))) (pow (- 1 wj) 2))) (pow (- (* (pow wj 2) (pow (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))) 2)) 1) 2))) (- 1 wj)))) (* x (- (* (pow wj 2) (pow (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))) 2)) 1)))) (/ (* (pow wj 4) (* (pow (- 1 wj) 2) (- (/ (* (pow wj 2) (- 1 wj)) (- (* (pow wj 2) (pow (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))) 2)) 1)) (* 2 (/ (* (pow wj 3) (* (+ 1 (* wj (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))))) (* (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))) (- 1 wj)))) (pow (- (* (pow wj 2) (pow (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))) 2)) 1) 2)))))) (* x (- (* (pow wj 2) (pow (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))) 2)) 1)))) (+ (* 2 (/ (* (pow wj 3) (* (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))) (* (- 1 wj) (- (/ (* (pow wj 2) (- 1 wj)) (- (* (pow wj 2) (pow (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))) 2)) 1)) (* 2 (/ (* (pow wj 3) (* (+ 1 (* wj (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))))) (* (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))) (- 1 wj)))) (pow (- (* (pow wj 2) (pow (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))) 2)) 1) 2))))))) (- (* (pow wj 2) (pow (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))) 2)) 1))) (/ (* (pow wj 4) (* (+ 1 (* wj (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))))) (pow (- 1 wj) 2))) (pow (- (* (pow wj 2) (pow (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))) 2)) 1) 2)))) x)) (/ (* (pow wj 2) (- 1 wj)) (- (* (pow wj 2) (pow (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))) 2)) 1))) (* 2 (/ (* (pow wj 3) (* (+ 1 (* wj (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))))) (* (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))) (- 1 wj)))) (pow (- (* (pow wj 2) (pow (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))) 2)) 1) 2)))) x)) (+ (/ 1 (- (* (pow wj 2) (pow (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))) 2)) 1)) (/ (* wj (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj)))))) (- (* (pow wj 2) (pow (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))) 2)) 1)))) x)) |
(* -1 (/ (* x (- (* (pow wj 2) (pow (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))) 2)) 1)) (+ 1 (* wj (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))))))) |
(* -1 (* x (- (+ (* -1 (/ (- (* 2 (/ (* (pow wj 3) (* (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))) (- 1 wj))) (+ 1 (* wj (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))))))) (/ (* (pow wj 2) (* (- 1 wj) (- (* (pow wj 2) (pow (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))) 2)) 1))) (pow (+ 1 (* wj (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))))) 2))) x)) (/ (* (pow wj 2) (pow (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))) 2)) (+ 1 (* wj (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))))))) (/ 1 (+ 1 (* wj (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))))))))) |
(* -1 (* x (- (+ (* -1 (/ (- (+ (* -1 (/ (- (/ (* (pow wj 4) (pow (- 1 wj) 2)) (+ 1 (* wj (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj)))))))) (/ (* (pow wj 2) (* (- 1 wj) (- (* 2 (/ (* (pow wj 3) (* (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))) (- 1 wj))) (+ 1 (* wj (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))))))) (/ (* (pow wj 2) (* (- 1 wj) (- (* (pow wj 2) (pow (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))) 2)) 1))) (pow (+ 1 (* wj (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))))) 2))))) (+ 1 (* wj (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))))))) x)) (* 2 (/ (* (pow wj 3) (* (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))) (- 1 wj))) (+ 1 (* wj (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj)))))))))) (/ (* (pow wj 2) (* (- 1 wj) (- (* (pow wj 2) (pow (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))) 2)) 1))) (pow (+ 1 (* wj (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))))) 2))) x)) (/ (* (pow wj 2) (pow (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))) 2)) (+ 1 (* wj (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))))))) (/ 1 (+ 1 (* wj (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))))))))) |
(* -1 (* x (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (/ (* (pow wj 2) (* (- 1 wj) (- (/ (* (pow wj 4) (pow (- 1 wj) 2)) (+ 1 (* wj (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj)))))))) (/ (* (pow wj 2) (* (- 1 wj) (- (* 2 (/ (* (pow wj 3) (* (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))) (- 1 wj))) (+ 1 (* wj (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))))))) (/ (* (pow wj 2) (* (- 1 wj) (- (* (pow wj 2) (pow (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))) 2)) 1))) (pow (+ 1 (* wj (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))))) 2))))) (+ 1 (* wj (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))))))))) (* x (+ 1 (* wj (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))))))) (/ (* (pow wj 4) (pow (- 1 wj) 2)) (+ 1 (* wj (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))))))) (/ (* (pow wj 2) (* (- 1 wj) (- (* 2 (/ (* (pow wj 3) (* (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))) (- 1 wj))) (+ 1 (* wj (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))))))) (/ (* (pow wj 2) (* (- 1 wj) (- (* (pow wj 2) (pow (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))) 2)) 1))) (pow (+ 1 (* wj (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))))) 2))))) (+ 1 (* wj (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))))))) x)) (* 2 (/ (* (pow wj 3) (* (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))) (- 1 wj))) (+ 1 (* wj (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj)))))))))) (/ (* (pow wj 2) (* (- 1 wj) (- (* (pow wj 2) (pow (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))) 2)) 1))) (pow (+ 1 (* wj (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))))) 2))) x)) (/ (* (pow wj 2) (pow (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))) 2)) (+ 1 (* wj (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))))))) (/ 1 (+ 1 (* wj (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))))))))) |
(* x (+ 5/2 (* -8/3 wj))) |
(* -1 (* x (- (* -1 (/ (- 1 wj) x)) (+ 5/2 (* -8/3 wj))))) |
(* -1 (* x (- (* -1 (/ (- 1 wj) x)) (+ 5/2 (* -8/3 wj))))) |
(* -1 (* x (- (* -1 (/ (- 1 wj) x)) (+ 5/2 (* -8/3 wj))))) |
(* -8/3 (* wj x)) |
(* -1 (* x (- (* -1 (/ (- 1 wj) x)) (* -8/3 wj)))) |
(* -1 (* x (- (* -1 (/ (- 1 wj) x)) (* -8/3 wj)))) |
(* -1 (* x (- (* -1 (/ (- 1 wj) x)) (* -8/3 wj)))) |
(* (pow x 2) (- (* (pow wj 2) (pow (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))) 2)) 1)) |
(* (pow x 2) (- (+ (* -2 (/ (* (pow wj 3) (* (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))) (- 1 wj))) x)) (* (pow wj 2) (pow (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))) 2))) 1)) |
(* (pow x 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow wj 4) (pow (- 1 wj) 2)) x)) (* 2 (* (pow wj 3) (* (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))) (- 1 wj))))) x)) (* (pow wj 2) (pow (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))) 2))) 1)) |
(* (pow x 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow wj 4) (pow (- 1 wj) 2)) x)) (* 2 (* (pow wj 3) (* (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))) (- 1 wj))))) x)) (* (pow wj 2) (pow (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))) 2))) 1)) |
(/ x (+ (exp wj) (* wj (exp wj)))) |
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(* -1 (* x (- (* -1 (/ (- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(* (pow wj 2) (* (pow x 2) (pow (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))) 2))) |
(* (pow x 2) (+ (* -2 (/ (* (pow wj 3) (* (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))) (- 1 wj))) x)) (* (pow wj 2) (pow (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))) 2)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow wj 4) (pow (- 1 wj) 2)) x)) (* 2 (* (pow wj 3) (* (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))) (- 1 wj))))) x)) (* (pow wj 2) (pow (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))) 2)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow wj 4) (pow (- 1 wj) 2)) x)) (* 2 (* (pow wj 3) (* (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))) (- 1 wj))))) x)) (* (pow wj 2) (pow (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))) 2)))) |
| Outputs |
|---|
x |
(+ x (* -2 (* wj x))) |
(fma.f64 (*.f64 wj x) #s(literal -2 binary64) x) |
(+ x (* wj (- (* wj (- 1 (+ (* -4 x) (* 3/2 x)))) (* 2 x)))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x) |
(+ x (* wj (- (* wj (- (+ 1 (* -1 (* wj (+ 1 (+ (* -3 x) (+ (* -2 (+ (* -4 x) (* 3/2 x))) (* 2/3 x))))))) (+ (* -4 x) (* 3/2 x)))) (* 2 x)))) |
(fma.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -3 binary64) x (fma.f64 #s(literal 2/3 binary64) x (*.f64 (*.f64 x #s(literal -5/2 binary64)) #s(literal -2 binary64)))) wj wj)) (*.f64 x #s(literal -5/2 binary64))) wj (*.f64 #s(literal -2 binary64) x)) wj x) |
x |
(+ x (* -2 (* wj x))) |
(fma.f64 (*.f64 wj x) #s(literal -2 binary64) x) |
(+ x (* wj (+ (* -2 x) (* wj (+ 1 (* 5/2 x)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x) |
(+ x (* wj (+ (* -2 x) (* wj (+ 1 (+ (* -1 (* wj (+ 1 (+ (* 2/3 x) (* 2 x))))) (* 5/2 x))))))) |
(fma.f64 (fma.f64 #s(literal -2 binary64) x (fma.f64 wj (fma.f64 (neg.f64 wj) (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)) (*.f64 #s(literal 5/2 binary64) x)) wj)) wj x) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(+ (* -2 x) (* wj (+ 1 (* 5/2 x)))) |
(fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) |
(+ (* -2 x) (* wj (+ 1 (+ (* -1 (* wj (+ 1 (+ (* 2/3 x) (* 2 x))))) (* 5/2 x))))) |
(fma.f64 #s(literal -2 binary64) x (fma.f64 wj (fma.f64 (neg.f64 wj) (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)) (*.f64 #s(literal 5/2 binary64) x)) wj)) |
(+ (* -2 x) (* wj (+ 1 (+ (* -1 (* wj (+ 1 (+ (* 2/3 x) (* 2 x))))) (* 5/2 x))))) |
(fma.f64 #s(literal -2 binary64) x (fma.f64 wj (fma.f64 (neg.f64 wj) (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)) (*.f64 #s(literal 5/2 binary64) x)) wj)) |
(+ 1 (* 5/2 x)) |
(fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (* wj (+ 1 (+ (* 2/3 x) (* 2 x))))) (* 5/2 x))) |
(+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)) wj)) (*.f64 #s(literal 5/2 binary64) x)) |
(+ 1 (+ (* -1 (* wj (+ 1 (+ (* 2/3 x) (* 2 x))))) (* 5/2 x))) |
(+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)) wj)) (*.f64 #s(literal 5/2 binary64) x)) |
(+ 1 (+ (* -1 (* wj (+ 1 (+ (* 2/3 x) (* 2 x))))) (* 5/2 x))) |
(+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)) wj)) (*.f64 #s(literal 5/2 binary64) x)) |
x |
(+ x (* -1 (* wj (+ 2 (+ (* -1 (+ 2 (* 2 x))) (* 4 x)))))) |
(-.f64 x (*.f64 (+.f64 (fma.f64 #s(literal 4 binary64) x (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64))) #s(literal 2 binary64)) wj)) |
(+ x (* wj (- (* wj (- (+ (* -4 x) (* 3/2 x)) (+ 3 (+ (* 4 (/ (- (* -2 x) (* 4 (pow x 2))) x)) (+ (* 7 x) (/ (* (+ 2 (* 2 x)) (+ 2 (+ (* -1 (+ 2 (* 2 x))) (* 4 x)))) x)))))) (+ 2 (+ (* -1 (+ 2 (* 2 x))) (* 4 x)))))) |
(fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 x #s(literal -5/2 binary64) #s(literal -3 binary64)) (fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x (*.f64 (*.f64 x x) #s(literal -4 binary64))) x) #s(literal 4 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) x (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64))) #s(literal 2 binary64)) x) (*.f64 #s(literal 7 binary64) x)))) wj #s(literal -2 binary64)) (fma.f64 #s(literal 4 binary64) x (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)))) wj x) |
(+ x (* wj (- (* wj (- (+ (* -4 x) (+ (* 3/2 x) (* wj (- (* 2 (/ 1 x)) (+ 1 (+ (* -1 (+ 1 (+ (* -3 x) (+ (* -2 (+ (* -4 x) (* 3/2 x))) (* 2/3 x))))) (+ (* -1 (/ (* (+ 2 (* 2 x)) (- (+ (* -4 x) (* 3/2 x)) (+ 3 (+ (* 4 (/ (- (* -2 x) (* 4 (pow x 2))) x)) (+ (* 7 x) (/ (* (+ 2 (* 2 x)) (+ 2 (+ (* -1 (+ 2 (* 2 x))) (* 4 x)))) x)))))) x)) (+ (* -1 (/ (* (+ 2 (+ (* -1 (+ 2 (* 2 x))) (* 4 x))) (- 1 (+ (* -4 x) (* 3/2 x)))) x)) (+ (* 4 (/ (- (+ 1 (* -2 x)) (+ (* 4 (- (* -2 x) (* 4 (pow x 2)))) (* 7 (pow x 2)))) x)) (+ (* 7 (/ (- (* -2 x) (* 4 (pow x 2))) x)) (* 22/3 x))))))))))) (+ 3 (+ (* 4 (/ (- (* -2 x) (* 4 (pow x 2))) x)) (+ (* 7 x) (/ (* (+ 2 (* 2 x)) (+ 2 (+ (* -1 (+ 2 (* 2 x))) (* 4 x)))) x)))))) (+ 2 (+ (* -1 (+ 2 (* 2 x))) (* 4 x)))))) |
(fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 x #s(literal -5/2 binary64) (*.f64 (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (-.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)) (/.f64 (-.f64 (fma.f64 x #s(literal -5/2 binary64) #s(literal -3 binary64)) (fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x (*.f64 (*.f64 x x) #s(literal -4 binary64))) x) #s(literal 4 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) x (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64))) #s(literal 2 binary64)) x) (*.f64 #s(literal 7 binary64) x)))) x) (fma.f64 (neg.f64 (+.f64 (fma.f64 #s(literal 4 binary64) x (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64))) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) x) (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal -2 binary64) x (*.f64 (*.f64 x x) #s(literal -4 binary64))) #s(literal 4 binary64) (*.f64 #s(literal 7 binary64) (*.f64 x x)))) x) #s(literal 4 binary64) (fma.f64 #s(literal 7 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) x (*.f64 (*.f64 x x) #s(literal -4 binary64))) x) (*.f64 #s(literal 22/3 binary64) x))))) (+.f64 (fma.f64 #s(literal -3 binary64) x (fma.f64 #s(literal 2/3 binary64) x (*.f64 (*.f64 x #s(literal -5/2 binary64)) #s(literal -2 binary64)))) #s(literal 1 binary64)))) wj)) (+.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x (*.f64 (*.f64 x x) #s(literal -4 binary64))) x) #s(literal 4 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (/.f64 (+.f64 (fma.f64 #s(literal 4 binary64) x (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64))) #s(literal 2 binary64)) x) (*.f64 #s(literal 7 binary64) x))) #s(literal 3 binary64))) wj #s(literal -2 binary64)) (fma.f64 #s(literal 4 binary64) x (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)))) wj x) |
-1 |
#s(literal -1 binary64) |
(- wj 1) |
(-.f64 wj #s(literal 1 binary64)) |
(- wj 1) |
(-.f64 wj #s(literal 1 binary64)) |
(- wj 1) |
(-.f64 wj #s(literal 1 binary64)) |
x |
(+ x (* -2 (* wj x))) |
(fma.f64 (*.f64 wj x) #s(literal -2 binary64) x) |
(+ x (* wj (- (* wj (- 1 (+ (* -4 x) (* 3/2 x)))) (* 2 x)))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x) |
(+ x (* wj (- (* wj (- (+ 1 (* -1 (* wj (+ 1 (+ (* -3 x) (+ (* -2 (+ (* -4 x) (* 3/2 x))) (* 2/3 x))))))) (+ (* -4 x) (* 3/2 x)))) (* 2 x)))) |
(fma.f64 (fma.f64 (-.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -3 binary64) x (fma.f64 #s(literal 2/3 binary64) x (*.f64 (*.f64 x #s(literal -5/2 binary64)) #s(literal -2 binary64)))) wj wj)) (*.f64 x #s(literal -5/2 binary64))) wj (*.f64 #s(literal -2 binary64) x)) wj x) |
x |
(+ x (* -2 (* wj x))) |
(fma.f64 (*.f64 wj x) #s(literal -2 binary64) x) |
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#s(literal 1 binary64) |
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x |
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x |
(+ x (* -2 (* wj x))) |
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#s(literal 1 binary64) |
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x |
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(fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) |
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1 |
#s(literal 1 binary64) |
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#s(literal 3/2 binary64) |
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(fma.f64 #s(literal 2/3 binary64) wj #s(literal 3/2 binary64)) |
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(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
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(+ x (* -2 (* wj x))) |
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(* 4 (* (pow wj 2) (pow x 2))) |
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wj |
(* wj (- 1 (/ 1 wj))) |
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(* -1 (* (pow wj 3) (+ 1 (+ (* 2/3 x) (* 2 x))))) |
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(* (pow wj 3) (- (+ (* -2 (/ x (pow wj 2))) (+ (* 5/2 (/ x wj)) (+ (/ 1 wj) (/ x (pow wj 3))))) (+ 1 (+ (* 2/3 x) (* 2 x))))) |
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(* -1 (* (pow wj 2) (+ 1 (+ (* 2/3 x) (* 2 x))))) |
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(* -1 (* wj (+ 1 (+ (* 2/3 x) (* 2 x))))) |
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wj |
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wj |
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(* wj (- 1 (/ 1 wj))) |
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wj |
(* wj (- 1 (/ 1 wj))) |
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(* wj (- (+ 1 (+ (* -1 (/ (+ 1 (/ x (exp wj))) (pow wj 3))) (+ (/ 1 (pow wj 2)) (/ x (* (pow wj 2) (exp wj)))))) (/ 1 wj))) |
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(/ x (* wj (exp wj))) |
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(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 8/3 binary64) wj #s(literal -5/2 binary64)) wj #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) wj)) (pow.f64 wj #s(literal 3 binary64))) x) #s(literal -2 binary64) (*.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 8/3 binary64) wj #s(literal -5/2 binary64)) wj #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 wj wj))) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow wj 4) (pow (- 1 wj) 2)) x)) (* 2 (* (pow wj 3) (* (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))) (- 1 wj))))) x)) (* (pow wj 2) (pow (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))) 2)))) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 8/3 binary64) wj #s(literal -5/2 binary64)) wj #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 wj wj) (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 wj #s(literal 3 binary64))) (*.f64 (fma.f64 (fma.f64 #s(literal 8/3 binary64) wj #s(literal -5/2 binary64)) wj #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) wj)) (/.f64 (*.f64 (pow.f64 wj #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) wj) #s(literal 2 binary64))) (neg.f64 x))) (neg.f64 x))) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow wj 4) (pow (- 1 wj) 2)) x)) (* 2 (* (pow wj 3) (* (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))) (- 1 wj))))) x)) (* (pow wj 2) (pow (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))) 2)))) |
(*.f64 (fma.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 8/3 binary64) wj #s(literal -5/2 binary64)) wj #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 wj wj) (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 wj #s(literal 3 binary64))) (*.f64 (fma.f64 (fma.f64 #s(literal 8/3 binary64) wj #s(literal -5/2 binary64)) wj #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) wj)) (/.f64 (*.f64 (pow.f64 wj #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) wj) #s(literal 2 binary64))) (neg.f64 x))) (neg.f64 x))) (*.f64 x x)) |
| 5 700× | lower-fma.f32 |
| 5 680× | lower-fma.f64 |
| 4 628× | lower-*.f32 |
| 4 620× | lower-*.f64 |
| 2 474× | lower-pow.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 547 |
| 0 | 99 | 535 |
| 1 | 545 | 417 |
| 2 | 4812 | 417 |
| 0 | 8200 | 417 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj x)) |
(fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj x) |
(fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) |
#s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) |
#s(approx (/ (- (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* wj wj)) (- (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) wj)) #s(approx (* (- 1 (/ 1 wj)) wj) #s(literal -1 binary64))) |
#s(approx (* (- 1 (/ 1 wj)) wj) #s(literal -1 binary64)) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 #s(literal 2 binary64) wj #s(literal 1 binary64))))) |
(/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 #s(literal 2 binary64) wj #s(literal 1 binary64)))) |
#s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 #s(literal 2 binary64) wj #s(literal 1 binary64))) |
(fma.f64 #s(literal 2 binary64) wj #s(literal 1 binary64)) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) wj #s(literal 3/2 binary64)) wj #s(literal 2 binary64)) wj #s(literal 1 binary64))))) |
(/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) wj #s(literal 3/2 binary64)) wj #s(literal 2 binary64)) wj #s(literal 1 binary64)))) |
#s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) wj #s(literal 3/2 binary64)) wj #s(literal 2 binary64)) wj #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) wj #s(literal 3/2 binary64)) wj #s(literal 2 binary64)) wj #s(literal 1 binary64)) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) wj (*.f64 #s(literal -2 binary64) x)) wj (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) wj (*.f64 #s(literal -2 binary64) x)) wj) #s(literal 2 binary64)) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) wj (*.f64 #s(literal -2 binary64) x)) wj (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) wj (*.f64 #s(literal -2 binary64) x)) wj) #s(literal 2 binary64)) (*.f64 x x)))) |
(fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) |
(-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)))) |
(fma.f64 #s(literal 2/3 binary64) wj #s(literal 3/2 binary64)) |
(-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) wj (*.f64 #s(literal -2 binary64) x)) wj) #s(literal 2 binary64)) (*.f64 x x)) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) wj (*.f64 #s(literal -2 binary64) x)) wj (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) wj (*.f64 #s(literal -2 binary64) x)) wj) #s(literal 2 binary64)) (*.f64 x x))))) |
(pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) wj (*.f64 #s(literal -2 binary64) x)) wj) #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj x)) |
(*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj) #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x (*.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj)) (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj)) (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj) #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj) #s(literal 2 binary64))) (-.f64 x (*.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj (neg.f64 x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj)) (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj (neg.f64 x))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) (*.f64 wj x))))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj)) (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj) #s(literal 2 binary64)) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj)) (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj) #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj) #s(literal 3 binary64))))) |
(fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj x) |
(fma.f64 wj (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) x) |
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj (neg.f64 x)))) |
(+.f64 (*.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj) x) |
(+.f64 x (*.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj)) |
(*.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (pow.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj)) (pow.f64 (*.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal 2 binary64) x)) (-.f64 (pow.f64 (*.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 x x)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) x) (-.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj)) (pow.f64 (*.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj) #s(literal 2 binary64))) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
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(-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj) #s(literal 2 binary64)) (*.f64 x x)) |
(+.f64 (*.f64 (neg.f64 x) x) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj) #s(literal 2 binary64))) |
(+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj) #s(literal 2 binary64)) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))) |
(+.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x)) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj (*.f64 #s(literal 1 binary64) x))) |
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)) wj))) wj (*.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64)) wj) #s(literal 1 binary64)) wj) |
(*.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj) (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)) wj))) wj (*.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64)) wj) |
(*.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj) wj) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)) wj))) wj (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (exp.f64 (log.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj))) #s(literal 1 binary64)) (pow.f64 (exp.f64 (log.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)) wj))) wj (*.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64)) wj) wj) |
(*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj) (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)) wj))) wj (*.f64 #s(literal -2 binary64) x))) wj) |
(*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj) wj) (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)) wj))) wj (*.f64 #s(literal -2 binary64) x))) |
(*.f64 (exp.f64 (log.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj))) (exp.f64 (log.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj)))) |
(*.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)) wj))) wj (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) (pow.f64 (*.f64 wj (*.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)) wj))) wj (*.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64)) (*.f64 wj wj)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj) (*.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)) wj))) wj (*.f64 #s(literal -2 binary64) x)) (*.f64 wj (*.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj))) |
(*.f64 (*.f64 wj wj) (pow.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)) wj))) wj (*.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64))) |
(*.f64 wj (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)) wj))) wj (*.f64 #s(literal -2 binary64) x)) (*.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj)) #s(literal 1 binary64))) |
(*.f64 wj (*.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)) wj))) wj (*.f64 #s(literal -2 binary64) x)) (*.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj))) |
(pow.f64 (exp.f64 (log.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj) #s(literal 2 binary64)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj) #s(literal 2 binary64)))) |
Compiled 39 204 to 3 618 computations (90.8% saved)
34 alts after pruning (27 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 885 | 9 | 894 |
| Fresh | 5 | 18 | 23 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 892 | 34 | 926 |
| Status | Accuracy | Program |
|---|---|---|
| 74.4% | (fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) wj #s(literal 3/2 binary64)) wj #s(literal 2 binary64)) wj #s(literal 1 binary64)))) (-.f64 (*.f64 (exp.f64 wj) wj) x) wj) | |
| 51.2% | (/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) #s(literal 2 binary64)) (*.f64 wj wj)) (-.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) wj #s(literal 3/2 binary64)) wj #s(literal 2 binary64)) wj #s(literal 1 binary64)))) wj)) | |
| 50.7% | (/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) #s(literal 2 binary64)) (*.f64 wj wj)) (-.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 (fma.f64 #s(literal 3/2 binary64) wj #s(literal 2 binary64)) wj #s(literal 1 binary64)))) wj)) | |
| 50.7% | (/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) #s(literal 2 binary64)) (*.f64 wj wj)) (-.f64 (/.f64 (-.f64 x (*.f64 #s(approx (exp wj) (fma.f64 (fma.f64 #s(literal 1/2 binary64) wj #s(literal 1 binary64)) wj #s(literal 1 binary64))) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) wj)) | |
| 50.7% | (/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) #s(literal 2 binary64)) (*.f64 wj wj)) (-.f64 #s(approx (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) (fma.f64 (fma.f64 (neg.f64 (fma.f64 (+.f64 (+.f64 #s(literal -3/2 binary64) (*.f64 (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal -5/2 binary64))) #s(literal -2 binary64))) (fma.f64 x #s(literal 2/3 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -3/2 binary64)))) wj (+.f64 (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal -5/2 binary64))) #s(literal 1 binary64)))) wj (fma.f64 #s(literal -2 binary64) x #s(literal -1 binary64))) wj x)) wj)) | |
| 22.3% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) wj) (*.f64 wj wj))) (*.f64 (/.f64 (-.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) wj) (pow.f64 (/.f64 (fma.f64 (exp.f64 wj) wj (exp.f64 wj)) (-.f64 x (*.f64 (exp.f64 wj) wj))) #s(literal -2 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 (-.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) wj) (pow.f64 (/.f64 (fma.f64 (exp.f64 wj) wj (exp.f64 wj)) (-.f64 x (*.f64 (exp.f64 wj) wj))) #s(literal -2 binary64))) (/.f64 (-.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) wj) (*.f64 wj wj)))) | |
| 72.1% | (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (fma.f64 #s(approx (+ (* 2 x) 1) #s(literal 1 binary64)) wj (neg.f64 x)))) | |
| 7.2% | (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))) | |
| ✓ | 70.8% | (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x))) |
| ✓ | 4.5% | (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64))) |
| ✓ | 4.5% | #s(approx (/ (- (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* wj wj)) (- (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) wj)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) wj)) wj)) |
| ✓ | 3.3% | #s(approx (/ (- (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* wj wj)) (- (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) wj)) #s(approx (* (- 1 (/ 1 wj)) wj) #s(literal -1 binary64))) |
| 80.4% | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (*.f64 wj x) #s(literal -2 binary64) x)) | |
| 5.5% | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (neg.f64 wj) (/.f64 (exp.f64 wj) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) wj)) | |
| 80.7% | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 #s(approx (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) (*.f64 (fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) x)) wj x)) | |
| 94.3% | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 #s(approx (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) (*.f64 (-.f64 #s(literal 1 binary64) wj) wj)) wj x)) | |
| 82.6% | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x (*.f64 (+.f64 wj #s(literal 1 binary64)) (exp.f64 wj)))) | |
| ✓ | 80.7% | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) wj #s(literal 3/2 binary64)) wj #s(literal 2 binary64)) wj #s(literal 1 binary64))))) |
| 80.6% | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 (fma.f64 #s(approx (+ (* 2/3 wj) 3/2) #s(literal 3/2 binary64)) wj #s(literal 2 binary64)) wj #s(literal 1 binary64))))) | |
| ✓ | 80.4% | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 #s(literal 2 binary64) wj #s(literal 1 binary64))))) |
| ✓ | 5.4% | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (*.f64 (exp.f64 wj) wj)))) |
| 3.9% | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (*.f64 #s(approx (exp wj) #s(literal 1 binary64)) wj)))) | |
| 50.4% | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) wj (*.f64 #s(literal -2 binary64) x)) wj (neg.f64 x)) #s(approx (- (pow (* (+ (* (+ (* 5/2 x) (- 1 (* wj (+ (* x 8/3) 1)))) wj) (* -2 x)) wj) 2) (* x x)) (*.f64 (neg.f64 x) x))))) | |
| 95.0% | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj (*.f64 #s(literal 1 binary64) x))))) | |
| 17.0% | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (+ (* 5/2 x) (- 1 (* wj (+ (* x 8/3) 1)))) wj) (* -2 x)) wj) (neg x)) (- (pow (* (+ (* (+ (* 5/2 x) (- 1 (* wj (+ (* x 8/3) 1)))) wj) (* -2 x)) wj) 2) (* x x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 wj wj)) (-.f64 #s(literal 1 binary64) wj))))) | |
| 75.6% | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) (/.f64 wj x)) (*.f64 (/.f64 (exp.f64 wj) x) (/.f64 wj (fma.f64 (exp.f64 wj) wj (exp.f64 wj))))) x)) | |
| 81.1% | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (*.f64 (exp.f64 (*.f64 (+.f64 (log1p.f64 wj) wj) #s(literal -1 binary64))) x)) | |
| 52.5% | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj (*.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64)))) | |
| 80.5% | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (/ x (+ (* (exp wj) wj) (exp wj))) (fma.f64 (fma.f64 (*.f64 x #s(literal 5/2 binary64)) wj (*.f64 x #s(literal -2 binary64))) wj x))) | |
| 17.0% | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (/ 1 (/ (+ (* (+ (* (+ (* 5/2 x) (- 1 (* wj (+ (* x 8/3) 1)))) wj) (* -2 x)) wj) (neg x)) (- (pow (* (+ (* (+ (* 5/2 x) (- 1 (* wj (+ (* x 8/3) 1)))) wj) (* -2 x)) wj) 2) (* x x)))) (*.f64 (-.f64 #s(literal 1 binary64) wj) (*.f64 wj wj)))) | |
| 17.0% | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 #s(approx (+ (* (+ (* (+ (* -8/3 wj) 5/2) wj) -2) wj) (+ (* (* wj wj) (/ (- 1 wj) x)) 1)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) wj) x) (*.f64 wj wj))) x))) | |
| 12.7% | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 #s(approx (+ (* (+ (* (+ (* -8/3 wj) 5/2) wj) -2) wj) (+ (* (* wj wj) (/ (- 1 wj) x)) 1)) (*.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) wj) x) (/.f64 #s(literal 5/2 binary64) wj)) (+.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 wj #s(literal 3 binary64)))) x))) | |
| 79.8% | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 #s(approx (+ (* (+ (* (+ (* -8/3 wj) 5/2) wj) -2) wj) (+ (* (* wj wj) (/ (- 1 wj) x)) 1)) #s(literal 1 binary64)) x))) | |
| 16.2% | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) #s(approx (* (+ (* (+ (* (+ (* -8/3 wj) 5/2) wj) -2) wj) (+ (* (* wj wj) (/ (- 1 wj) x)) 1)) x) (*.f64 (-.f64 (/.f64 (fma.f64 x #s(literal 5/2 binary64) #s(literal 1 binary64)) wj) (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64))) (pow.f64 wj #s(literal 3 binary64)))))) |
Compiled 1 869 to 742 computations (60.3% saved)
| Inputs |
|---|
#s(approx (/ (- (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* wj wj)) (- (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) wj)) #s(approx (* (- 1 (/ 1 wj)) wj) #s(literal -1 binary64))) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 #s(approx (+ (* (+ (* (+ (* -8/3 wj) 5/2) wj) -2) wj) (+ (* (* wj wj) (/ (- 1 wj) x)) 1)) #s(literal 1 binary64)) x))) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (*.f64 wj x) #s(literal -2 binary64) x)) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (fma.f64 #s(approx (+ (* 2 x) 1) #s(literal 1 binary64)) wj (neg.f64 x)))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) wj) wj) wj))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (/ 1 (/ (+ (* (+ (* (+ (* 5/2 x) (- 1 (* wj (+ (* x 8/3) 1)))) wj) (* -2 x)) wj) (neg x)) (- (pow (* (+ (* (+ (* 5/2 x) (- 1 (* wj (+ (* x 8/3) 1)))) wj) (* -2 x)) wj) 2) (* x x)))) (*.f64 (-.f64 #s(literal 1 binary64) wj) (*.f64 wj wj)))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 #s(approx (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) (*.f64 (-.f64 #s(literal 1 binary64) wj) wj)) wj x)) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (*.f64 #s(approx (exp wj) #s(literal 1 binary64)) wj)))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 #s(literal 2 binary64) wj #s(literal 1 binary64))))) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) wj (neg.f64 x)))) |
#s(approx (/ (- (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* wj wj)) (- (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) wj)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) wj)) wj)) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj x)) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (/ x (+ (* (exp wj) wj) (exp wj))) (fma.f64 (fma.f64 (*.f64 #s(literal 5/2 binary64) x) wj (*.f64 #s(literal -2 binary64) x)) wj x))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (/ x (+ (* (exp wj) wj) (exp wj))) (fma.f64 (fma.f64 (*.f64 x #s(literal 5/2 binary64)) wj (*.f64 x #s(literal -2 binary64))) wj x))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (fma.f64 (*.f64 x wj) (fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) x))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) (*.f64 x wj) x))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 (fma.f64 #s(literal 3/2 binary64) wj #s(literal 2 binary64)) wj #s(literal 1 binary64))))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 (fma.f64 #s(approx (+ (* 2/3 wj) 3/2) #s(literal 3/2 binary64)) wj #s(literal 2 binary64)) wj #s(literal 1 binary64))))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 #s(approx (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) (*.f64 (fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) x)) wj x)) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x)) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 #s(approx (+ (* (+ (* (+ (* -8/3 wj) 5/2) wj) -2) wj) (+ (* (* wj wj) (/ (- 1 wj) x)) 1)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) wj) x) (*.f64 wj wj))) x))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) wj #s(literal 3/2 binary64)) wj #s(literal 2 binary64)) wj #s(literal 1 binary64))))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (+ (* 5/2 x) (- 1 (* wj (+ (* x 8/3) 1)))) wj) (* -2 x)) wj) (neg x)) (- (pow (* (+ (* (+ (* 5/2 x) (- 1 (* wj (+ (* x 8/3) 1)))) wj) (* -2 x)) wj) 2) (* x x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 wj wj)) (-.f64 #s(literal 1 binary64) wj))))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj x)) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) wj (fma.f64 (*.f64 wj wj) (/.f64 (-.f64 #s(literal 1 binary64) wj) x) #s(literal 1 binary64))) x))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj (*.f64 #s(literal 1 binary64) x))))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) wj (*.f64 #s(literal -2 binary64) x)) wj (neg.f64 x)) #s(approx (- (pow (* (+ (* (+ (* 5/2 x) (- 1 (* wj (+ (* x 8/3) 1)))) wj) (* -2 x)) wj) 2) (* x x)) (*.f64 (neg.f64 x) x))))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (*.f64 (exp.f64 wj) wj)))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x (*.f64 (+.f64 wj #s(literal 1 binary64)) (exp.f64 wj)))) |
(-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) #s(approx (+ (exp wj) (* wj (exp wj))) (fma.f64 #s(literal 2 binary64) wj #s(literal 1 binary64))))) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (neg.f64 (exp.f64 wj))))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) #s(approx (* (+ (* (+ (* (+ (* -8/3 wj) 5/2) wj) -2) wj) (+ (* (* wj wj) (/ (- 1 wj) x)) 1)) x) (*.f64 (-.f64 (/.f64 (fma.f64 x #s(literal 5/2 binary64) #s(literal 1 binary64)) wj) (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64))) (pow.f64 wj #s(literal 3 binary64)))))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj) #s(literal -1 binary64) (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)))) (pow.f64 wj #s(literal 3 binary64))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) wj #s(literal 3/2 binary64)) wj #s(literal 2 binary64)) wj #s(literal 1 binary64)))) (-.f64 (*.f64 (exp.f64 wj) wj) x) wj) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 #s(approx (+ (* (+ (* (+ (* -8/3 wj) 5/2) wj) -2) wj) (+ (* (* wj wj) (/ (- 1 wj) x)) 1)) (*.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) wj) x) (/.f64 #s(literal 5/2 binary64) wj)) (+.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 wj #s(literal 3 binary64)))) x))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) wj (*.f64 #s(literal -2 binary64) x)) wj) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) wj (*.f64 #s(literal -2 binary64) x)) wj (neg.f64 x)))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) wj (*.f64 #s(literal -2 binary64) x)) wj (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) wj (*.f64 #s(literal -2 binary64) x)) wj) #s(literal 2 binary64)) (*.f64 x x))))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (*.f64 (exp.f64 (*.f64 (+.f64 (log1p.f64 wj) wj) #s(literal -1 binary64))) x)) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))) |
(-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (/.f64 (*.f64 (fma.f64 wj wj #s(literal -1 binary64)) (exp.f64 wj)) (-.f64 wj #s(literal 1 binary64))))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj (*.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64)))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (neg.f64 wj) (/.f64 (exp.f64 wj) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) wj)) |
(-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) (-.f64 (*.f64 (exp.f64 wj) wj) x) wj) |
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) #s(literal 2 binary64)) (*.f64 wj wj)) (-.f64 #s(approx (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) (fma.f64 (fma.f64 (neg.f64 (fma.f64 (+.f64 (+.f64 #s(literal -3/2 binary64) (*.f64 (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal -5/2 binary64))) #s(literal -2 binary64))) (fma.f64 x #s(literal 2/3 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -3/2 binary64)))) wj (+.f64 (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal -5/2 binary64))) #s(literal 1 binary64)))) wj (fma.f64 #s(literal -2 binary64) x #s(literal -1 binary64))) wj x)) wj)) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) (/.f64 wj x)) (*.f64 (/.f64 wj (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) (/.f64 (exp.f64 wj) x))) x)) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) (/.f64 wj x)) (*.f64 (/.f64 (exp.f64 wj) x) (/.f64 wj (fma.f64 (exp.f64 wj) wj (exp.f64 wj))))) x)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) #s(literal 2 binary64)) (*.f64 wj wj)) (-.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 (fma.f64 #s(literal 3/2 binary64) wj #s(literal 2 binary64)) wj #s(literal 1 binary64)))) wj)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) #s(literal 2 binary64)) (*.f64 wj wj)) (-.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) wj #s(literal 3/2 binary64)) wj #s(literal 2 binary64)) wj #s(literal 1 binary64)))) wj)) |
(fma.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 wj) wj) #s(literal 2 binary64)) (*.f64 x x)) (*.f64 (pow.f64 (fma.f64 (exp.f64 wj) wj x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))) wj) |
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) #s(literal 2 binary64)) (*.f64 wj wj)) (-.f64 (/.f64 (-.f64 x (*.f64 #s(approx (exp wj) (fma.f64 (fma.f64 #s(literal 1/2 binary64) wj #s(literal 1 binary64)) wj #s(literal 1 binary64))) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) wj)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) #s(literal 2 binary64)) (*.f64 wj wj)) (-.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) wj)) |
(fma.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (*.f64 (+.f64 (pow.f64 wj #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (exp.f64 wj) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (exp.f64 wj) #s(literal 2 binary64)) (-.f64 (*.f64 wj wj) wj) (pow.f64 (exp.f64 wj) #s(literal 2 binary64))) wj) |
(*.f64 (/.f64 (-.f64 (*.f64 wj wj) (pow.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) #s(literal 2 binary64))) (+.f64 (pow.f64 wj #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 (exp.f64 wj) wj (exp.f64 wj)) (-.f64 (*.f64 (exp.f64 wj) wj) x)) #s(literal -3 binary64)))) (fma.f64 wj wj (*.f64 (/.f64 (-.f64 (*.f64 (exp.f64 wj) wj) x) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) (-.f64 (/.f64 (-.f64 (*.f64 (exp.f64 wj) wj) x) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) wj)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) wj) (*.f64 wj wj))) (*.f64 (/.f64 (-.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) wj) (pow.f64 (/.f64 (fma.f64 (exp.f64 wj) wj (exp.f64 wj)) (-.f64 x (*.f64 (exp.f64 wj) wj))) #s(literal -2 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 (-.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) wj) (pow.f64 (/.f64 (fma.f64 (exp.f64 wj) wj (exp.f64 wj)) (-.f64 x (*.f64 (exp.f64 wj) wj))) #s(literal -2 binary64))) (/.f64 (-.f64 (/.f64 (-.f64 x (*.f64 (exp.f64 wj) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) wj) (*.f64 wj wj)))) |
| Outputs |
|---|
(-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (/.f64 (*.f64 (fma.f64 wj wj #s(literal -1 binary64)) (exp.f64 wj)) (-.f64 wj #s(literal 1 binary64))))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj x)) |
3 calls:
| 20.0ms | x |
| 20.0ms | wj |
| 15.0ms | (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.9% | 2 | wj |
| 95.2% | 1 | x |
| 97.3% | 2 | (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) |
Compiled 18 to 12 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (- (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* wj wj)) (- (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) wj)) #s(approx (* (- 1 (/ 1 wj)) wj) #s(literal -1 binary64))) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 #s(approx (+ (* (+ (* (+ (* -8/3 wj) 5/2) wj) -2) wj) (+ (* (* wj wj) (/ (- 1 wj) x)) 1)) #s(literal 1 binary64)) x))) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (*.f64 wj x) #s(literal -2 binary64) x)) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (fma.f64 #s(approx (+ (* 2 x) 1) #s(literal 1 binary64)) wj (neg.f64 x)))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) wj) wj) wj))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (/ 1 (/ (+ (* (+ (* (+ (* 5/2 x) (- 1 (* wj (+ (* x 8/3) 1)))) wj) (* -2 x)) wj) (neg x)) (- (pow (* (+ (* (+ (* 5/2 x) (- 1 (* wj (+ (* x 8/3) 1)))) wj) (* -2 x)) wj) 2) (* x x)))) (*.f64 (-.f64 #s(literal 1 binary64) wj) (*.f64 wj wj)))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 #s(approx (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) (*.f64 (-.f64 #s(literal 1 binary64) wj) wj)) wj x)) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (*.f64 #s(approx (exp wj) #s(literal 1 binary64)) wj)))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 #s(literal 2 binary64) wj #s(literal 1 binary64))))) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) wj (neg.f64 x)))) |
#s(approx (/ (- (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* wj wj)) (- (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) wj)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) wj)) wj)) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj x)) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (/ x (+ (* (exp wj) wj) (exp wj))) (fma.f64 (fma.f64 (*.f64 #s(literal 5/2 binary64) x) wj (*.f64 #s(literal -2 binary64) x)) wj x))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (/ x (+ (* (exp wj) wj) (exp wj))) (fma.f64 (fma.f64 (*.f64 x #s(literal 5/2 binary64)) wj (*.f64 x #s(literal -2 binary64))) wj x))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (fma.f64 (*.f64 x wj) (fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) x))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) (*.f64 x wj) x))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 (fma.f64 #s(literal 3/2 binary64) wj #s(literal 2 binary64)) wj #s(literal 1 binary64))))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 (fma.f64 #s(approx (+ (* 2/3 wj) 3/2) #s(literal 3/2 binary64)) wj #s(literal 2 binary64)) wj #s(literal 1 binary64))))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 #s(approx (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) (*.f64 (fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) x)) wj x)) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x)) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 #s(approx (+ (* (+ (* (+ (* -8/3 wj) 5/2) wj) -2) wj) (+ (* (* wj wj) (/ (- 1 wj) x)) 1)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) wj) x) (*.f64 wj wj))) x))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) wj #s(literal 3/2 binary64)) wj #s(literal 2 binary64)) wj #s(literal 1 binary64))))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (+ (* 5/2 x) (- 1 (* wj (+ (* x 8/3) 1)))) wj) (* -2 x)) wj) (neg x)) (- (pow (* (+ (* (+ (* 5/2 x) (- 1 (* wj (+ (* x 8/3) 1)))) wj) (* -2 x)) wj) 2) (* x x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 wj wj)) (-.f64 #s(literal 1 binary64) wj))))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj x)) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) wj (fma.f64 (*.f64 wj wj) (/.f64 (-.f64 #s(literal 1 binary64) wj) x) #s(literal 1 binary64))) x))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj (*.f64 #s(literal 1 binary64) x))))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) wj (*.f64 #s(literal -2 binary64) x)) wj (neg.f64 x)) #s(approx (- (pow (* (+ (* (+ (* 5/2 x) (- 1 (* wj (+ (* x 8/3) 1)))) wj) (* -2 x)) wj) 2) (* x x)) (*.f64 (neg.f64 x) x))))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (*.f64 (exp.f64 wj) wj)))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x (*.f64 (+.f64 wj #s(literal 1 binary64)) (exp.f64 wj)))) |
(-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) #s(approx (+ (exp wj) (* wj (exp wj))) (fma.f64 #s(literal 2 binary64) wj #s(literal 1 binary64))))) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (neg.f64 (exp.f64 wj))))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) #s(approx (* (+ (* (+ (* (+ (* -8/3 wj) 5/2) wj) -2) wj) (+ (* (* wj wj) (/ (- 1 wj) x)) 1)) x) (*.f64 (-.f64 (/.f64 (fma.f64 x #s(literal 5/2 binary64) #s(literal 1 binary64)) wj) (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64))) (pow.f64 wj #s(literal 3 binary64)))))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 (neg.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj) #s(literal -1 binary64) (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)))) (pow.f64 wj #s(literal 3 binary64))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) wj #s(literal 3/2 binary64)) wj #s(literal 2 binary64)) wj #s(literal 1 binary64)))) (-.f64 (*.f64 (exp.f64 wj) wj) x) wj) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 #s(approx (+ (* (+ (* (+ (* -8/3 wj) 5/2) wj) -2) wj) (+ (* (* wj wj) (/ (- 1 wj) x)) 1)) (*.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) wj) x) (/.f64 #s(literal 5/2 binary64) wj)) (+.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 1 binary64) x))) (pow.f64 wj #s(literal 3 binary64)))) x))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) wj (*.f64 #s(literal -2 binary64) x)) wj) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) wj (*.f64 #s(literal -2 binary64) x)) wj (neg.f64 x)))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) wj (*.f64 #s(literal -2 binary64) x)) wj (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) wj (*.f64 #s(literal -2 binary64) x)) wj) #s(literal 2 binary64)) (*.f64 x x))))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (*.f64 (exp.f64 (*.f64 (+.f64 (log1p.f64 wj) wj) #s(literal -1 binary64))) x)) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))) |
| Outputs |
|---|
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj x)) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (neg.f64 (exp.f64 wj))))) |
2 calls:
| 14.0ms | (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) |
| 12.0ms | wj |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.3% | 2 | (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) |
| 97.0% | 2 | wj |
Compiled 17 to 10 computations (41.2% saved)
| Inputs |
|---|
#s(approx (/ (- (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* wj wj)) (- (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) wj)) #s(approx (* (- 1 (/ 1 wj)) wj) #s(literal -1 binary64))) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 #s(approx (+ (* (+ (* (+ (* -8/3 wj) 5/2) wj) -2) wj) (+ (* (* wj wj) (/ (- 1 wj) x)) 1)) #s(literal 1 binary64)) x))) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (*.f64 wj x) #s(literal -2 binary64) x)) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (fma.f64 #s(approx (+ (* 2 x) 1) #s(literal 1 binary64)) wj (neg.f64 x)))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) wj) wj) wj))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (/ 1 (/ (+ (* (+ (* (+ (* 5/2 x) (- 1 (* wj (+ (* x 8/3) 1)))) wj) (* -2 x)) wj) (neg x)) (- (pow (* (+ (* (+ (* 5/2 x) (- 1 (* wj (+ (* x 8/3) 1)))) wj) (* -2 x)) wj) 2) (* x x)))) (*.f64 (-.f64 #s(literal 1 binary64) wj) (*.f64 wj wj)))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 #s(approx (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) (*.f64 (-.f64 #s(literal 1 binary64) wj) wj)) wj x)) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (*.f64 #s(approx (exp wj) #s(literal 1 binary64)) wj)))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 #s(literal 2 binary64) wj #s(literal 1 binary64))))) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) wj (neg.f64 x)))) |
#s(approx (/ (- (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* wj wj)) (- (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) wj)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) wj)) wj)) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj x)) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (/ x (+ (* (exp wj) wj) (exp wj))) (fma.f64 (fma.f64 (*.f64 #s(literal 5/2 binary64) x) wj (*.f64 #s(literal -2 binary64) x)) wj x))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (/ x (+ (* (exp wj) wj) (exp wj))) (fma.f64 (fma.f64 (*.f64 x #s(literal 5/2 binary64)) wj (*.f64 x #s(literal -2 binary64))) wj x))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (fma.f64 (*.f64 x wj) (fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) x))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) (*.f64 x wj) x))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 (fma.f64 #s(literal 3/2 binary64) wj #s(literal 2 binary64)) wj #s(literal 1 binary64))))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 (fma.f64 #s(approx (+ (* 2/3 wj) 3/2) #s(literal 3/2 binary64)) wj #s(literal 2 binary64)) wj #s(literal 1 binary64))))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 #s(approx (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) (*.f64 (fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) x)) wj x)) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x)) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 #s(approx (+ (* (+ (* (+ (* -8/3 wj) 5/2) wj) -2) wj) (+ (* (* wj wj) (/ (- 1 wj) x)) 1)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) wj) x) (*.f64 wj wj))) x))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) wj #s(literal 3/2 binary64)) wj #s(literal 2 binary64)) wj #s(literal 1 binary64))))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (+ (* 5/2 x) (- 1 (* wj (+ (* x 8/3) 1)))) wj) (* -2 x)) wj) (neg x)) (- (pow (* (+ (* (+ (* 5/2 x) (- 1 (* wj (+ (* x 8/3) 1)))) wj) (* -2 x)) wj) 2) (* x x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 wj wj)) (-.f64 #s(literal 1 binary64) wj))))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj x)) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) wj (fma.f64 (*.f64 wj wj) (/.f64 (-.f64 #s(literal 1 binary64) wj) x) #s(literal 1 binary64))) x))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj (*.f64 #s(literal 1 binary64) x))))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) wj (*.f64 #s(literal -2 binary64) x)) wj (neg.f64 x)) #s(approx (- (pow (* (+ (* (+ (* 5/2 x) (- 1 (* wj (+ (* x 8/3) 1)))) wj) (* -2 x)) wj) 2) (* x x)) (*.f64 (neg.f64 x) x))))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (*.f64 (exp.f64 wj) wj)))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x (*.f64 (+.f64 wj #s(literal 1 binary64)) (exp.f64 wj)))) |
(-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) #s(approx (+ (exp wj) (* wj (exp wj))) (fma.f64 #s(literal 2 binary64) wj #s(literal 1 binary64))))) |
| Outputs |
|---|
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x (*.f64 (+.f64 wj #s(literal 1 binary64)) (exp.f64 wj)))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj x)) |
2 calls:
| 14.0ms | wj |
| 9.0ms | (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.9% | 2 | wj |
| 96.7% | 2 | (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) |
Compiled 17 to 10 computations (41.2% saved)
| Inputs |
|---|
#s(approx (/ (- (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* wj wj)) (- (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) wj)) #s(approx (* (- 1 (/ 1 wj)) wj) #s(literal -1 binary64))) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 #s(approx (+ (* (+ (* (+ (* -8/3 wj) 5/2) wj) -2) wj) (+ (* (* wj wj) (/ (- 1 wj) x)) 1)) #s(literal 1 binary64)) x))) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (*.f64 wj x) #s(literal -2 binary64) x)) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (fma.f64 #s(approx (+ (* 2 x) 1) #s(literal 1 binary64)) wj (neg.f64 x)))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) wj) wj) wj))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (/ 1 (/ (+ (* (+ (* (+ (* 5/2 x) (- 1 (* wj (+ (* x 8/3) 1)))) wj) (* -2 x)) wj) (neg x)) (- (pow (* (+ (* (+ (* 5/2 x) (- 1 (* wj (+ (* x 8/3) 1)))) wj) (* -2 x)) wj) 2) (* x x)))) (*.f64 (-.f64 #s(literal 1 binary64) wj) (*.f64 wj wj)))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 #s(approx (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) (*.f64 (-.f64 #s(literal 1 binary64) wj) wj)) wj x)) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (*.f64 #s(approx (exp wj) #s(literal 1 binary64)) wj)))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 #s(literal 2 binary64) wj #s(literal 1 binary64))))) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) wj (neg.f64 x)))) |
#s(approx (/ (- (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* wj wj)) (- (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) wj)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) wj)) wj)) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj x)) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (/ x (+ (* (exp wj) wj) (exp wj))) (fma.f64 (fma.f64 (*.f64 #s(literal 5/2 binary64) x) wj (*.f64 #s(literal -2 binary64) x)) wj x))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (/ x (+ (* (exp wj) wj) (exp wj))) (fma.f64 (fma.f64 (*.f64 x #s(literal 5/2 binary64)) wj (*.f64 x #s(literal -2 binary64))) wj x))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (fma.f64 (*.f64 x wj) (fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) x))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) (*.f64 x wj) x))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 (fma.f64 #s(literal 3/2 binary64) wj #s(literal 2 binary64)) wj #s(literal 1 binary64))))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 (fma.f64 #s(approx (+ (* 2/3 wj) 3/2) #s(literal 3/2 binary64)) wj #s(literal 2 binary64)) wj #s(literal 1 binary64))))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 #s(approx (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) (*.f64 (fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) x)) wj x)) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x)) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 #s(approx (+ (* (+ (* (+ (* -8/3 wj) 5/2) wj) -2) wj) (+ (* (* wj wj) (/ (- 1 wj) x)) 1)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) wj) x) (*.f64 wj wj))) x))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) wj #s(literal 3/2 binary64)) wj #s(literal 2 binary64)) wj #s(literal 1 binary64))))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (+ (* 5/2 x) (- 1 (* wj (+ (* x 8/3) 1)))) wj) (* -2 x)) wj) (neg x)) (- (pow (* (+ (* (+ (* 5/2 x) (- 1 (* wj (+ (* x 8/3) 1)))) wj) (* -2 x)) wj) 2) (* x x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 wj wj)) (-.f64 #s(literal 1 binary64) wj))))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj x)) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) wj (fma.f64 (*.f64 wj wj) (/.f64 (-.f64 #s(literal 1 binary64) wj) x) #s(literal 1 binary64))) x))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj (*.f64 #s(literal 1 binary64) x))))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) wj (*.f64 #s(literal -2 binary64) x)) wj (neg.f64 x)) #s(approx (- (pow (* (+ (* (+ (* 5/2 x) (- 1 (* wj (+ (* x 8/3) 1)))) wj) (* -2 x)) wj) 2) (* x x)) (*.f64 (neg.f64 x) x))))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (*.f64 (exp.f64 wj) wj)))) |
| Outputs |
|---|
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (*.f64 (exp.f64 wj) wj)))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj x)) |
1 calls:
| 9.0ms | wj |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.8% | 2 | wj |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (/ (- (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* wj wj)) (- (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) wj)) #s(approx (* (- 1 (/ 1 wj)) wj) #s(literal -1 binary64))) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 #s(approx (+ (* (+ (* (+ (* -8/3 wj) 5/2) wj) -2) wj) (+ (* (* wj wj) (/ (- 1 wj) x)) 1)) #s(literal 1 binary64)) x))) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (*.f64 wj x) #s(literal -2 binary64) x)) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (fma.f64 #s(approx (+ (* 2 x) 1) #s(literal 1 binary64)) wj (neg.f64 x)))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) wj) wj) wj))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (/ 1 (/ (+ (* (+ (* (+ (* 5/2 x) (- 1 (* wj (+ (* x 8/3) 1)))) wj) (* -2 x)) wj) (neg x)) (- (pow (* (+ (* (+ (* 5/2 x) (- 1 (* wj (+ (* x 8/3) 1)))) wj) (* -2 x)) wj) 2) (* x x)))) (*.f64 (-.f64 #s(literal 1 binary64) wj) (*.f64 wj wj)))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 #s(approx (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) (*.f64 (-.f64 #s(literal 1 binary64) wj) wj)) wj x)) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (*.f64 #s(approx (exp wj) #s(literal 1 binary64)) wj)))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 #s(literal 2 binary64) wj #s(literal 1 binary64))))) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) wj (neg.f64 x)))) |
#s(approx (/ (- (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* wj wj)) (- (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) wj)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) wj)) wj)) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj x)) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (/ x (+ (* (exp wj) wj) (exp wj))) (fma.f64 (fma.f64 (*.f64 #s(literal 5/2 binary64) x) wj (*.f64 #s(literal -2 binary64) x)) wj x))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (/ x (+ (* (exp wj) wj) (exp wj))) (fma.f64 (fma.f64 (*.f64 x #s(literal 5/2 binary64)) wj (*.f64 x #s(literal -2 binary64))) wj x))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (fma.f64 (*.f64 x wj) (fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) x))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) (*.f64 x wj) x))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 (fma.f64 #s(literal 3/2 binary64) wj #s(literal 2 binary64)) wj #s(literal 1 binary64))))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 (fma.f64 #s(approx (+ (* 2/3 wj) 3/2) #s(literal 3/2 binary64)) wj #s(literal 2 binary64)) wj #s(literal 1 binary64))))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 #s(approx (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) (*.f64 (fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) x)) wj x)) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x)) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 #s(approx (+ (* (+ (* (+ (* -8/3 wj) 5/2) wj) -2) wj) (+ (* (* wj wj) (/ (- 1 wj) x)) 1)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) wj) x) (*.f64 wj wj))) x))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) wj #s(literal 3/2 binary64)) wj #s(literal 2 binary64)) wj #s(literal 1 binary64))))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (+ (* 5/2 x) (- 1 (* wj (+ (* x 8/3) 1)))) wj) (* -2 x)) wj) (neg x)) (- (pow (* (+ (* (+ (* 5/2 x) (- 1 (* wj (+ (* x 8/3) 1)))) wj) (* -2 x)) wj) 2) (* x x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 wj wj)) (-.f64 #s(literal 1 binary64) wj))))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj x)) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) wj (fma.f64 (*.f64 wj wj) (/.f64 (-.f64 #s(literal 1 binary64) wj) x) #s(literal 1 binary64))) x))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 1 binary64)) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj (*.f64 #s(literal 1 binary64) x))))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64))))) wj (*.f64 #s(literal -2 binary64) x)) wj (neg.f64 x)) #s(approx (- (pow (* (+ (* (+ (* 5/2 x) (- 1 (* wj (+ (* x 8/3) 1)))) wj) (* -2 x)) wj) 2) (* x x)) (*.f64 (neg.f64 x) x))))) |
| Outputs |
|---|
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj x)) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))) |
2 calls:
| 12.0ms | wj |
| 8.0ms | (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.7% | 2 | (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) |
| 95.2% | 1 | wj |
Compiled 17 to 10 computations (41.2% saved)
| Inputs |
|---|
#s(approx (/ (- (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* wj wj)) (- (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) wj)) #s(approx (* (- 1 (/ 1 wj)) wj) #s(literal -1 binary64))) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 #s(approx (+ (* (+ (* (+ (* -8/3 wj) 5/2) wj) -2) wj) (+ (* (* wj wj) (/ (- 1 wj) x)) 1)) #s(literal 1 binary64)) x))) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (*.f64 wj x) #s(literal -2 binary64) x)) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (fma.f64 #s(approx (+ (* 2 x) 1) #s(literal 1 binary64)) wj (neg.f64 x)))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) wj) wj) wj))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (/ 1 (/ (+ (* (+ (* (+ (* 5/2 x) (- 1 (* wj (+ (* x 8/3) 1)))) wj) (* -2 x)) wj) (neg x)) (- (pow (* (+ (* (+ (* 5/2 x) (- 1 (* wj (+ (* x 8/3) 1)))) wj) (* -2 x)) wj) 2) (* x x)))) (*.f64 (-.f64 #s(literal 1 binary64) wj) (*.f64 wj wj)))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 #s(approx (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) (*.f64 (-.f64 #s(literal 1 binary64) wj) wj)) wj x)) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (*.f64 #s(approx (exp wj) #s(literal 1 binary64)) wj)))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 #s(literal 2 binary64) wj #s(literal 1 binary64))))) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) wj (neg.f64 x)))) |
#s(approx (/ (- (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* wj wj)) (- (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) wj)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) wj)) wj)) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj x)) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (/ x (+ (* (exp wj) wj) (exp wj))) (fma.f64 (fma.f64 (*.f64 #s(literal 5/2 binary64) x) wj (*.f64 #s(literal -2 binary64) x)) wj x))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (/ x (+ (* (exp wj) wj) (exp wj))) (fma.f64 (fma.f64 (*.f64 x #s(literal 5/2 binary64)) wj (*.f64 x #s(literal -2 binary64))) wj x))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (fma.f64 (*.f64 x wj) (fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) x))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (fma.f64 (fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) (*.f64 x wj) x))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 (fma.f64 #s(literal 3/2 binary64) wj #s(literal 2 binary64)) wj #s(literal 1 binary64))))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 (fma.f64 #s(approx (+ (* 2/3 wj) 3/2) #s(literal 3/2 binary64)) wj #s(literal 2 binary64)) wj #s(literal 1 binary64))))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 #s(approx (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) (*.f64 (fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) x)) wj x)) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64)) wj (*.f64 #s(literal -2 binary64) x)) wj x)) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 #s(approx (+ (* (+ (* (+ (* -8/3 wj) 5/2) wj) -2) wj) (+ (* (* wj wj) (/ (- 1 wj) x)) 1)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) wj) x) (*.f64 wj wj))) x))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 (fma.f64 (fma.f64 #s(literal 2/3 binary64) wj #s(literal 3/2 binary64)) wj #s(literal 2 binary64)) wj #s(literal 1 binary64))))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* (+ (* (+ (* 5/2 x) (- 1 (* wj (+ (* x 8/3) 1)))) wj) (* -2 x)) wj) (neg x)) (- (pow (* (+ (* (+ (* 5/2 x) (- 1 (* wj (+ (* x 8/3) 1)))) wj) (* -2 x)) wj) 2) (* x x))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 wj wj)) (-.f64 #s(literal 1 binary64) wj))))) |
| Outputs |
|---|
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj x)) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))) |
3 calls:
| 11.0ms | (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) |
| 11.0ms | x |
| 7.0ms | wj |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.9% | 1 | x |
| 94.9% | 1 | wj |
| 96.5% | 2 | (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) |
Compiled 18 to 12 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (- (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* wj wj)) (- (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) wj)) #s(approx (* (- 1 (/ 1 wj)) wj) #s(literal -1 binary64))) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 #s(approx (+ (* (+ (* (+ (* -8/3 wj) 5/2) wj) -2) wj) (+ (* (* wj wj) (/ (- 1 wj) x)) 1)) #s(literal 1 binary64)) x))) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (*.f64 wj x) #s(literal -2 binary64) x)) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (fma.f64 #s(approx (+ (* 2 x) 1) #s(literal 1 binary64)) wj (neg.f64 x)))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) wj) wj) wj))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (/ 1 (/ (+ (* (+ (* (+ (* 5/2 x) (- 1 (* wj (+ (* x 8/3) 1)))) wj) (* -2 x)) wj) (neg x)) (- (pow (* (+ (* (+ (* 5/2 x) (- 1 (* wj (+ (* x 8/3) 1)))) wj) (* -2 x)) wj) 2) (* x x)))) (*.f64 (-.f64 #s(literal 1 binary64) wj) (*.f64 wj wj)))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 #s(approx (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) (*.f64 (-.f64 #s(literal 1 binary64) wj) wj)) wj x)) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (*.f64 #s(approx (exp wj) #s(literal 1 binary64)) wj)))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 #s(literal 2 binary64) wj #s(literal 1 binary64))))) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) wj (neg.f64 x)))) |
#s(approx (/ (- (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* wj wj)) (- (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) wj)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) wj)) wj)) |
| Outputs |
|---|
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 #s(approx (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) (*.f64 (-.f64 #s(literal 1 binary64) wj) wj)) wj x)) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))) |
3 calls:
| 8.0ms | x |
| 5.0ms | wj |
| 5.0ms | (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.3% | 1 | wj |
| 94.3% | 1 | x |
| 95.9% | 2 | (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) |
Compiled 18 to 12 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (- (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* wj wj)) (- (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) wj)) #s(approx (* (- 1 (/ 1 wj)) wj) #s(literal -1 binary64))) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 #s(approx (+ (* (+ (* (+ (* -8/3 wj) 5/2) wj) -2) wj) (+ (* (* wj wj) (/ (- 1 wj) x)) 1)) #s(literal 1 binary64)) x))) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (*.f64 wj x) #s(literal -2 binary64) x)) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (fma.f64 #s(approx (+ (* 2 x) 1) #s(literal 1 binary64)) wj (neg.f64 x)))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) wj) wj) wj))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (/ 1 (/ (+ (* (+ (* (+ (* 5/2 x) (- 1 (* wj (+ (* x 8/3) 1)))) wj) (* -2 x)) wj) (neg x)) (- (pow (* (+ (* (+ (* 5/2 x) (- 1 (* wj (+ (* x 8/3) 1)))) wj) (* -2 x)) wj) 2) (* x x)))) (*.f64 (-.f64 #s(literal 1 binary64) wj) (*.f64 wj wj)))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 #s(approx (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) (*.f64 (-.f64 #s(literal 1 binary64) wj) wj)) wj x)) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (*.f64 #s(approx (exp wj) #s(literal 1 binary64)) wj)))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (fma.f64 #s(literal 2 binary64) wj #s(literal 1 binary64))))) |
| Outputs |
|---|
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 #s(approx (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) (*.f64 (-.f64 #s(literal 1 binary64) wj) wj)) wj x)) |
2 calls:
| 4.0ms | x |
| 4.0ms | (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.3% | 1 | x |
| 94.3% | 1 | (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) |
Compiled 17 to 10 computations (41.2% saved)
| Inputs |
|---|
#s(approx (/ (- (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* wj wj)) (- (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) wj)) #s(approx (* (- 1 (/ 1 wj)) wj) #s(literal -1 binary64))) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 #s(approx (+ (* (+ (* (+ (* -8/3 wj) 5/2) wj) -2) wj) (+ (* (* wj wj) (/ (- 1 wj) x)) 1)) #s(literal 1 binary64)) x))) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (*.f64 wj x) #s(literal -2 binary64) x)) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (fma.f64 #s(approx (+ (* 2 x) 1) #s(literal 1 binary64)) wj (neg.f64 x)))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) wj) wj) wj))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (/ 1 (/ (+ (* (+ (* (+ (* 5/2 x) (- 1 (* wj (+ (* x 8/3) 1)))) wj) (* -2 x)) wj) (neg x)) (- (pow (* (+ (* (+ (* 5/2 x) (- 1 (* wj (+ (* x 8/3) 1)))) wj) (* -2 x)) wj) 2) (* x x)))) (*.f64 (-.f64 #s(literal 1 binary64) wj) (*.f64 wj wj)))) |
| Outputs |
|---|
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (*.f64 wj x) #s(literal -2 binary64) x)) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) wj) wj) wj))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (*.f64 wj x) #s(literal -2 binary64) x)) |
3 calls:
| 3.0ms | x |
| 3.0ms | wj |
| 3.0ms | (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.5% | 2 | wj |
| 83.6% | 3 | x |
| 84.7% | 3 | (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) |
Compiled 18 to 12 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (- (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* wj wj)) (- (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) wj)) #s(approx (* (- 1 (/ 1 wj)) wj) #s(literal -1 binary64))) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 #s(approx (+ (* (+ (* (+ (* -8/3 wj) 5/2) wj) -2) wj) (+ (* (* wj wj) (/ (- 1 wj) x)) 1)) #s(literal 1 binary64)) x))) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (*.f64 wj x) #s(literal -2 binary64) x)) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (fma.f64 #s(approx (+ (* 2 x) 1) #s(literal 1 binary64)) wj (neg.f64 x)))) |
| Outputs |
|---|
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (*.f64 wj x) #s(literal -2 binary64) x)) |
3 calls:
| 16.0ms | (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) |
| 3.0ms | x |
| 3.0ms | wj |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.4% | 1 | x |
| 80.4% | 1 | wj |
| 80.4% | 1 | (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) |
Compiled 18 to 12 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (- (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* wj wj)) (- (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) wj)) #s(approx (* (- 1 (/ 1 wj)) wj) #s(literal -1 binary64))) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 #s(approx (+ (* (+ (* (+ (* -8/3 wj) 5/2) wj) -2) wj) (+ (* (* wj wj) (/ (- 1 wj) x)) 1)) #s(literal 1 binary64)) x))) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x))) |
| Outputs |
|---|
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 #s(approx (+ (* (+ (* (+ (* -8/3 wj) 5/2) wj) -2) wj) (+ (* (* wj wj) (/ (- 1 wj) x)) 1)) #s(literal 1 binary64)) x))) |
3 calls:
| 2.0ms | (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) |
| 2.0ms | x |
| 2.0ms | wj |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.8% | 1 | wj |
| 79.8% | 1 | x |
| 79.8% | 1 | (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) |
Compiled 18 to 12 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (- (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* wj wj)) (- (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) wj)) #s(approx (* (- 1 (/ 1 wj)) wj) #s(literal -1 binary64))) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64))) |
| Outputs |
|---|
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64))) |
3 calls:
| 2.0ms | wj |
| 2.0ms | (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 4.5% | 1 | wj |
| 4.5% | 1 | x |
| 4.5% | 1 | (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) |
Compiled 18 to 12 computations (33.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (- (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* wj wj)) (- (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) wj)) #s(approx (* (- 1 (/ 1 wj)) wj) #s(literal -1 binary64))) |
| Outputs |
|---|
#s(approx (/ (- (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* wj wj)) (- (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) wj)) #s(approx (* (- 1 (/ 1 wj)) wj) #s(literal -1 binary64))) |
3 calls:
| 3.0ms | (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) |
| 2.0ms | x |
| 2.0ms | wj |
| Accuracy | Segments | Branch |
|---|---|---|
| 3.3% | 1 | wj |
| 3.3% | 1 | x |
| 3.3% | 1 | (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) |
Compiled 18 to 12 computations (33.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | -0.011146735207181149 | -6.647377013846205e-7 |
| 8.0ms | 128× | 0 | valid |
Compiled 363 to 261 computations (28.1% saved)
ival-exp: 2.0ms (36.8% of total)ival-div: 1.0ms (18.4% of total)ival-sub: 1.0ms (18.4% of total)ival-add: 1.0ms (18.4% of total)ival-mult: 1.0ms (18.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.043448121059889155 | 11509.361196778098 |
Compiled 19 to 13 computations (31.6% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | -0.011146735207181149 | -6.647377013846205e-7 |
| 10.0ms | 112× | 0 | valid |
Compiled 275 to 221 computations (19.6% saved)
ival-mult: 4.0ms (50.4% of total)ival-div: 1.0ms (12.6% of total)ival-sub: 1.0ms (12.6% of total)ival-exp: 1.0ms (12.6% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | -6.1903462103635505 | -0.1878470631149838 |
| 7.0ms | 112× | 0 | valid |
Compiled 236 to 188 computations (20.3% saved)
ival-div: 1.0ms (23.6% of total)ival-sub: 1.0ms (23.6% of total)ival-exp: 1.0ms (23.6% of total)ival-mult: 1.0ms (23.6% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.159443797734482e+305 | +inf |
Compiled 19 to 13 computations (31.6% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.159443797734482e+305 | +inf |
Compiled 19 to 13 computations (31.6% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.159443797734482e+305 | +inf |
Compiled 19 to 13 computations (31.6% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 8.184138338807799e-268 |
| 0.0ms | -6.5110049263021004e-201 | 0.0 |
Compiled 19 to 13 computations (31.6% saved)
| 1× | egg-herbie |
| 314× | distribute-lft-neg-in-binary64-*.f64-neg.f64 |
| 196× | neg-mul-1-binary64-*.f64-neg.f64 |
| 174× | neg-sub0-binary64--.f64-neg.f64 |
| 130× | distribute-neg-in-binary64-+.f64-neg.f64 |
| 124× | sub-neg-binary64-neg.f64-+.f64--.f64 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 133 | 891 |
| 1 | 171 | 891 |
| 2 | 217 | 891 |
| 3 | 264 | 891 |
| 4 | 318 | 890 |
| 5 | 374 | 890 |
| 6 | 442 | 890 |
| 7 | 529 | 890 |
| 8 | 617 | 890 |
| 9 | 728 | 890 |
| 10 | 852 | 890 |
| 11 | 960 | 890 |
| 12 | 1042 | 890 |
| 13 | 1076 | 890 |
| 14 | 1084 | 890 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 wj #s(literal -8500259669165361/2361183241434822606848 binary64)) (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (/.f64 (*.f64 (fma.f64 wj wj #s(literal -1 binary64)) (exp.f64 wj)) (-.f64 wj #s(literal 1 binary64))))) #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj x))) |
(if (<=.f64 (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj x)) (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (neg.f64 (exp.f64 wj)))))) |
(if (<=.f64 wj #s(literal -1498797955988901/288230376151711744 binary64)) #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x (*.f64 (+.f64 wj #s(literal 1 binary64)) (exp.f64 wj)))) #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj x))) |
(if (<=.f64 wj #s(literal -1 binary64)) #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (*.f64 (exp.f64 wj) wj)))) #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj x))) |
(if (<=.f64 (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) #s(literal 500000000000000008608032298368227414415543912506619491164446008946190335622287523993960225937729797284303069430849145530155524612766474260348469402855720325061314257334714230178496312484014164775344612087642173365030358044414607127719847315059897273252756207808991071631335431459408181431059577374563631104 binary64)) #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj x)) (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))))) |
(if (<=.f64 (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) #s(literal 500000000000000008608032298368227414415543912506619491164446008946190335622287523993960225937729797284303069430849145530155524612766474260348469402855720325061314257334714230178496312484014164775344612087642173365030358044414607127719847315059897273252756207808991071631335431459408181431059577374563631104 binary64)) #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj x)) (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))))) |
(if (<=.f64 (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) #s(literal 500000000000000008608032298368227414415543912506619491164446008946190335622287523993960225937729797284303069430849145530155524612766474260348469402855720325061314257334714230178496312484014164775344612087642173365030358044414607127719847315059897273252756207808991071631335431459408181431059577374563631104 binary64)) #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 #s(approx (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) (*.f64 (-.f64 #s(literal 1 binary64) wj) wj)) wj x)) (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 #s(approx (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) (*.f64 (-.f64 #s(literal 1 binary64) wj) wj)) wj x)) |
(if (<=.f64 (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) #s(literal -1723641332219371/344728266443874206170545512964432112225507069317819522056079337263512430464013488758041250121488036739611555846958495676040441511948045769973944468809441663382665538511073745187088876036706973599091474545756168257536 binary64)) #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (*.f64 wj x) #s(literal -2 binary64) x)) (if (<=.f64 (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) #s(literal 0 binary64)) #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) wj) wj) wj))) #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (*.f64 wj x) #s(literal -2 binary64) x)))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (*.f64 wj x) #s(literal -2 binary64) x)) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 #s(approx (+ (* (+ (* (+ (* -8/3 wj) 5/2) wj) -2) wj) (+ (* (* wj wj) (/ (- 1 wj) x)) 1)) #s(literal 1 binary64)) x))) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64))) |
#s(approx (/ (- (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* wj wj)) (- (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) wj)) #s(approx (* (- 1 (/ 1 wj)) wj) #s(literal -1 binary64))) |
| Outputs |
|---|
(if (<=.f64 wj #s(literal -8500259669165361/2361183241434822606848 binary64)) (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (/.f64 (*.f64 (fma.f64 wj wj #s(literal -1 binary64)) (exp.f64 wj)) (-.f64 wj #s(literal 1 binary64))))) #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj x))) |
(if (<=.f64 wj #s(literal -8500259669165361/2361183241434822606848 binary64)) (-.f64 wj (/.f64 (-.f64 (*.f64 (exp.f64 wj) wj) x) (/.f64 (*.f64 (fma.f64 wj wj #s(literal -1 binary64)) (exp.f64 wj)) (-.f64 wj #s(literal 1 binary64))))) #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj x))) |
(if (<=.f64 (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj x)) (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (neg.f64 (exp.f64 wj)))))) |
(if (<=.f64 (-.f64 wj (/.f64 (-.f64 (*.f64 (exp.f64 wj) wj) x) (+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj)))) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj x)) (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 (/.f64 x (-.f64 #s(literal -1 binary64) wj)) (exp.f64 wj))))) |
(if (<=.f64 wj #s(literal -1498797955988901/288230376151711744 binary64)) #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x (*.f64 (+.f64 wj #s(literal 1 binary64)) (exp.f64 wj)))) #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj x))) |
(if (<=.f64 wj #s(literal -1498797955988901/288230376151711744 binary64)) #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x (*.f64 (-.f64 wj #s(literal -1 binary64)) (exp.f64 wj)))) #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj x))) |
(if (<=.f64 wj #s(literal -1 binary64)) #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/.f64 x #s(approx (+ (* (exp wj) wj) (exp wj)) (*.f64 (exp.f64 wj) wj)))) #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj x))) |
(if (<=.f64 (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) #s(literal 500000000000000008608032298368227414415543912506619491164446008946190335622287523993960225937729797284303069430849145530155524612766474260348469402855720325061314257334714230178496312484014164775344612087642173365030358044414607127719847315059897273252756207808991071631335431459408181431059577374563631104 binary64)) #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj x)) (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))))) |
(if (<=.f64 (-.f64 wj (/.f64 (-.f64 (*.f64 (exp.f64 wj) wj) x) (+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj)))) #s(literal 500000000000000008608032298368227414415543912506619491164446008946190335622287523993960225937729797284303069430849145530155524612766474260348469402855720325061314257334714230178496312484014164775344612087642173365030358044414607127719847315059897273252756207808991071631335431459408181431059577374563631104 binary64)) #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) wj (*.f64 #s(literal -2 binary64) x)) wj x)) (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (-.f64 wj #s(literal -1 binary64)))))) |
(if (<=.f64 (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) #s(literal 500000000000000008608032298368227414415543912506619491164446008946190335622287523993960225937729797284303069430849145530155524612766474260348469402855720325061314257334714230178496312484014164775344612087642173365030358044414607127719847315059897273252756207808991071631335431459408181431059577374563631104 binary64)) #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj x)) (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))))) |
(if (<=.f64 (-.f64 wj (/.f64 (-.f64 (*.f64 (exp.f64 wj) wj) x) (+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj)))) #s(literal 500000000000000008608032298368227414415543912506619491164446008946190335622287523993960225937729797284303069430849145530155524612766474260348469402855720325061314257334714230178496312484014164775344612087642173365030358044414607127719847315059897273252756207808991071631335431459408181431059577374563631104 binary64)) #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) wj (*.f64 #s(literal -2 binary64) x)) wj x)) (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (-.f64 wj #s(literal -1 binary64)))))) |
(if (<=.f64 (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) #s(literal 500000000000000008608032298368227414415543912506619491164446008946190335622287523993960225937729797284303069430849145530155524612766474260348469402855720325061314257334714230178496312484014164775344612087642173365030358044414607127719847315059897273252756207808991071631335431459408181431059577374563631104 binary64)) #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 #s(approx (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) (*.f64 (-.f64 #s(literal 1 binary64) wj) wj)) wj x)) (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))))) |
(if (<=.f64 (-.f64 wj (/.f64 (-.f64 (*.f64 (exp.f64 wj) wj) x) (+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj)))) #s(literal 500000000000000008608032298368227414415543912506619491164446008946190335622287523993960225937729797284303069430849145530155524612766474260348469402855720325061314257334714230178496312484014164775344612087642173365030358044414607127719847315059897273252756207808991071631335431459408181431059577374563631104 binary64)) #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 #s(approx (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) (*.f64 (-.f64 #s(literal 1 binary64) wj) wj)) wj x)) (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (-.f64 wj #s(literal -1 binary64)))))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 #s(approx (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) (*.f64 (-.f64 #s(literal 1 binary64) wj) wj)) wj x)) |
(if (<=.f64 (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) #s(literal -1723641332219371/344728266443874206170545512964432112225507069317819522056079337263512430464013488758041250121488036739611555846958495676040441511948045769973944468809441663382665538511073745187088876036706973599091474545756168257536 binary64)) #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (*.f64 wj x) #s(literal -2 binary64) x)) (if (<=.f64 (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) #s(literal 0 binary64)) #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) wj) wj) wj))) #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (*.f64 wj x) #s(literal -2 binary64) x)))) |
(if (<=.f64 (-.f64 wj (/.f64 (-.f64 (*.f64 (exp.f64 wj) wj) x) (+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj)))) #s(literal -1723641332219371/344728266443874206170545512964432112225507069317819522056079337263512430464013488758041250121488036739611555846958495676040441511948045769973944468809441663382665538511073745187088876036706973599091474545756168257536 binary64)) #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (*.f64 x wj) #s(literal -2 binary64) x)) (if (<=.f64 (-.f64 wj (/.f64 (-.f64 (*.f64 (exp.f64 wj) wj) x) (+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj)))) #s(literal 0 binary64)) #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) wj) wj) wj))) #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (*.f64 x wj) #s(literal -2 binary64) x)))) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (*.f64 wj x) #s(literal -2 binary64) x)) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (*.f64 x wj) #s(literal -2 binary64) x)) |
#s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 #s(approx (+ (* (+ (* (+ (* -8/3 wj) 5/2) wj) -2) wj) (+ (* (* wj wj) (/ (- 1 wj) x)) 1)) #s(literal 1 binary64)) x))) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64))) |
#s(approx (/ (- (pow (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) 2) (* wj wj)) (- (/ (- x (* (exp wj) wj)) (+ (* (exp wj) wj) (exp wj))) wj)) #s(approx (* (- 1 (/ 1 wj)) wj) #s(literal -1 binary64))) |
| 16 880× | lower-fma.f64 |
| 16 880× | lower-fma.f32 |
| 9 156× | lower-fma.f64 |
| 9 156× | lower-fma.f32 |
| 8 478× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 229 | 1279 |
| 1 | 703 | 1230 |
| 2 | 2140 | 1025 |
| 3 | 7956 | 962 |
| 0 | 8911 | 916 |
| 0 | 1205 | 15528 |
| 1 | 4140 | 15182 |
| 0 | 8704 | 13663 |
| 0 | 8 | 47 |
| 0 | 14 | 44 |
| 1 | 68 | 44 |
| 2 | 629 | 44 |
| 0 | 8735 | 44 |
| 0 | 777 | 7144 |
| 1 | 2587 | 6798 |
| 0 | 8623 | 6422 |
| 0 | 818 | 9067 |
| 1 | 2713 | 8561 |
| 0 | 8502 | 8114 |
| 0 | 40 | 321 |
| 0 | 70 | 315 |
| 1 | 352 | 283 |
| 2 | 3053 | 283 |
| 0 | 8236 | 277 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 527 to 202 computations (61.7% saved)
Compiled 844 to 216 computations (74.4% saved)
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