
Time bar (total: 8.4s)
| 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)
| 543.0ms | 7 742× | 0 | exit |
| 457.0ms | 6 475× | 0 | valid |
| 297.0ms | 1 781× | 1 | valid |
ival-exp: 203.0ms (25.3% of total)ival-sub: 189.0ms (23.6% of total)ival-mult: 135.0ms (16.8% of total)ival-div: 107.0ms (13.3% of total)ival-add: 102.0ms (12.7% of total)adjust: 45.0ms (5.6% of total)ival-true: 14.0ms (1.7% of total)ival-assert: 7.0ms (0.9% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 60 | 0 | - | 1 | (0.01528930887771681 -2.516000153124633e-123) | (-.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 | 59 | 1 |
/.f64 | (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))) | o/o | 3 | 0 |
| ↳ | (*.f64 wj (exp.f64 wj)) | overflow | 3 | |
| ↳ | (-.f64 (*.f64 wj (exp.f64 wj)) x) | overflow | 3 | |
| ↳ | (exp.f64 wj) | overflow | 3 | |
| ↳ | (*.f64 wj (exp.f64 wj)) | overflow | 3 | |
| ↳ | (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))) | overflow | 3 | |
| ↳ | (exp.f64 wj) | overflow | 6 | |
/.f64 | (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))) | n/u | 1 | 0 |
| ↳ | (*.f64 wj (exp.f64 wj)) | underflow | 2 | |
| ↳ | (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))) | underflow | 2 | |
| ↳ | (exp.f64 wj) | underflow | 4 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 63 | 2 |
| - | 0 | 191 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 63 | 1 | 1 |
| - | 0 | 0 | 191 |
| number | freq |
|---|---|
| 0 | 193 |
| 1 | 63 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 31.0ms | 102× | 1 | valid |
| 28.0ms | 410× | 0 | valid |
Compiled 122 to 28 computations (77% saved)
ival-exp: 9.0ms (31.4% of total)ival-sub: 6.0ms (20.9% of total)ival-div: 4.0ms (13.9% of total)ival-mult: 4.0ms (13.9% 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 |
|---|---|---|
| ▶ | 78.9% | (-.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 | 0.00390625 | (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))) | |
| accuracy | 0.015625 | (*.f64 wj (exp.f64 wj)) | |
| accuracy | 0.9730436273884961 | (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))) | |
| accuracy | 12.216752187527062 | (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) |
| 15.0ms | 205× | 0 | valid |
| 8.0ms | 51× | 1 | valid |
Compiled 53 to 10 computations (81.1% saved)
ival-exp: 4.0ms (29.7% 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>) () ())) ()) |
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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 (/.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 (/ 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 | 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 | @ | 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))) |
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(*.f64 (/.f64 (-.f64 (*.f64 (exp.f64 wj) wj) x) (exp.f64 wj)) (pow.f64 (+.f64 #s(literal 1 binary64) wj) #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)
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 659 | 13 | 672 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 660 | 13 | 673 |
| Status | Accuracy | Program |
|---|---|---|
| 48.1% | (fma.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)) (neg.f64 (exp.f64 wj))) wj) | |
| ▶ | 78.9% | (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) (-.f64 (*.f64 (exp.f64 wj) wj) x) wj) |
| 78.9% | (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (exp.f64 wj) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 wj) wj) #s(literal 2 binary64)))) (/.f64 (-.f64 (*.f64 (exp.f64 wj) wj) x) (pow.f64 (*.f64 (fma.f64 #s(literal -1 binary64) wj #s(literal 1 binary64)) (exp.f64 wj)) #s(literal -1 binary64))) wj) | |
| 79.4% | (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) wj)) (/.f64 (-.f64 (*.f64 (exp.f64 wj) wj) x) (exp.f64 wj)) wj) | |
| 78.2% | (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (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)))) | |
| ▶ | 74.4% | (-.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))))) |
| ▶ | 6.5% | (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))) |
| 80.5% | (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (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))) | |
| 72.9% | (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x))) | |
| ▶ | 4.1% | (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64))) |
| ▶ | 97.2% | #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)) |
| 96.7% | #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)) | |
| 87.8% | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (*.f64 wj x) #s(literal -2 binary64) x)) |
Compiled 404 to 280 computations (30.7% saved)
| 1× | egg-herbie |
Found 18 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 x (+.f64 #s(literal 1 binary64) wj)) | |
| cost-diff | 0 | #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)))) | |
| cost-diff | 0 | (-.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))))) | |
| cost-diff | 128 | (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (neg.f64 (exp.f64 wj))) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) wj) | |
| cost-diff | 0 | (/.f64 wj (+.f64 #s(literal 1 binary64) wj)) | |
| cost-diff | 0 | #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) | |
| cost-diff | 0 | (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))) | |
| 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 | #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 | 192 | (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))) | |
| cost-diff | 384 | (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) |
| 18 480× | lower-fma.f32 |
| 18 466× | lower-fma.f64 |
| 4 428× | lower-+.f32 |
| 4 426× | lower-+.f64 |
| 3 166× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 343 |
| 0 | 69 | 336 |
| 1 | 125 | 321 |
| 2 | 272 | 321 |
| 3 | 863 | 297 |
| 4 | 2663 | 290 |
| 0 | 8324 | 278 |
| 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)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))) |
wj |
#s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) |
(/.f64 wj (+.f64 #s(literal 1 binary64) wj)) |
(+.f64 #s(literal 1 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))))) |
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)))) |
(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (neg.f64 (exp.f64 wj))) |
(/.f64 x (+.f64 #s(literal 1 binary64) wj)) |
x |
(+.f64 #s(literal 1 binary64) wj) |
#s(literal 1 binary64) |
(neg.f64 (exp.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 #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))))) (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 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 (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 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 #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 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 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj))) |
(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 (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)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))) |
wj |
#s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) |
(/.f64 wj (+.f64 #s(literal 1 binary64) wj)) |
(+.f64 #s(literal 1 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))))) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 (/.f64 x (exp.f64 wj)) (-.f64 #s(literal -1 binary64) wj)))) |
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 (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 (/.f64 x (exp.f64 wj)) (-.f64 #s(literal -1 binary64) wj))) |
(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (neg.f64 (exp.f64 wj))) |
(/.f64 (/.f64 x (exp.f64 wj)) (-.f64 #s(literal -1 binary64) wj)) |
(/.f64 x (+.f64 #s(literal 1 binary64) wj)) |
x |
(+.f64 #s(literal 1 binary64) wj) |
#s(literal 1 binary64) |
(neg.f64 (exp.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 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) 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) |
(*.f64 (exp.f64 wj) wj) |
x |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (fma.f64 (exp.f64 wj) wj (exp.f64 wj)) | |
| accuracy | 0.015625 | (*.f64 (exp.f64 wj) wj) | |
| accuracy | 0.01953125 | (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) | |
| accuracy | 13.175873985857653 | (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 | (exp.f64 wj) | |
| accuracy | 0.24256662152252792 | (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (neg.f64 (exp.f64 wj))) | |
| accuracy | 12.216752187527062 | (-.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))))) | |
| accuracy | 16.738149705731935 | #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)))) | |
| accuracy | 0 | (+.f64 #s(literal 1 binary64) wj) | |
| accuracy | 0.01171875 | (/.f64 wj (+.f64 #s(literal 1 binary64) wj)) | |
| accuracy | 12.216752187527062 | (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))) | |
| accuracy | 47.14059550147316 | #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) | |
| accuracy | 12.216752187527062 | (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64))) | |
| accuracy | 61.34654785945466 | #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64)) | |
| accuracy | 0.0078125 | (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 | 0.01953125 | (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) | |
| accuracy | 0.15234375 | (*.f64 (fma.f64 #s(literal 2/3 binary64) x (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj) | |
| accuracy | 1.7718589335464345 | #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)) |
| 80.0ms | 194× | 0 | valid |
| 34.0ms | 61× | 1 | valid |
| 1.0ms | 1× | 2 | valid |
Compiled 309 to 40 computations (87.1% saved)
ival-mult: 39.0ms (46.2% of total)ival-add: 13.0ms (15.4% of total)ival-div: 9.0ms (10.7% of total)ival-sub: 6.0ms (7.1% of total)adjust: 5.0ms (5.9% of total)ival-exp: 5.0ms (5.9% of total)const: 5.0ms (5.9% of total)exact: 1.0ms (1.2% of total)ival-neg: 1.0ms (1.2% 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 (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 (-.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 (-.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 (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))) (patch (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) (patch #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) #<representation binary64>) () ()) |
#s(alt (/.f64 wj (+.f64 #s(literal 1 binary64) wj)) (patch (/.f64 wj (+.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 (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (neg.f64 (exp.f64 wj))) (patch (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (neg.f64 (exp.f64 wj))) #<representation binary64>) () ()) |
#s(alt (-.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))))) (patch (-.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))))) #<representation binary64>) () ()) |
#s(alt #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)))) (patch #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)))) #<representation binary64>) () ()) |
#s(alt (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (patch (/.f64 x (+.f64 #s(literal 1 binary64) 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 (*.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 (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 (exp.f64 wj) wj) (patch (*.f64 (exp.f64 wj) wj) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ 1 (* 5/2 x)) (taylor 0 wj) (#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 (+ 1 (+ (* -1 (* wj (+ 1 (+ (* 2/3 x) (* 2 x))))) (* 5/2 x))) (taylor 0 wj) (#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 (+ 1 (+ (* -1 (* wj (+ 1 (+ (* 2/3 x) (* 2 x))))) (* 5/2 x))) (taylor 0 wj) (#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 (+ 1 (+ (* -1 (* wj (+ 1 (+ (* 2/3 x) (* 2 x))))) (* 5/2 x))) (taylor 0 wj) (#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 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 (-.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 (+ x (* -2 (* wj x))) (taylor 0 wj) (#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 (+ x (* wj (- (* wj (- 1 (+ (* -4 x) (* 3/2 x)))) (* 2 x)))) (taylor 0 wj) (#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 (+ 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 #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 (* -1 x) (taylor 0 wj) (#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 (+ (* -1 x) (* wj (- 1 (* -2 x)))) (taylor 0 wj) (#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 (+ (* -1 x) (* wj (- (+ 1 (* wj (- 1 (+ (* -3/2 x) (* 2 (- 1 (* -2 x))))))) (* -2 x)))) (taylor 0 wj) (#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 (+ (* -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 #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 x (taylor 0 wj) (#s(alt (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))) (patch (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -2 (* wj x))) (taylor 0 wj) (#s(alt (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))) (patch (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* wj (- (* wj (- 1 (+ (* -4 x) (* 3/2 x)))) (* 2 x)))) (taylor 0 wj) (#s(alt (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))) (patch (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) 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 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))) (patch (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 wj) (#s(alt #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) (patch #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) #<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)))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (neg.f64 (exp.f64 wj)))) (patch #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)))) #<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)))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (neg.f64 (exp.f64 wj)))) (patch #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)))) #<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)))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (neg.f64 (exp.f64 wj)))) (patch #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)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ 1 wj)) (taylor -inf x) (#s(alt (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (patch (/.f64 x (+.f64 #s(literal 1 binary64) wj)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ 1 wj)) (taylor -inf x) (#s(alt (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (patch (/.f64 x (+.f64 #s(literal 1 binary64) wj)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ 1 wj)) (taylor -inf x) (#s(alt (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (patch (/.f64 x (+.f64 #s(literal 1 binary64) wj)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ 1 wj)) (taylor -inf x) (#s(alt (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (patch (/.f64 x (+.f64 #s(literal 1 binary64) wj)) #<representation binary64>) () ())) ()) |
#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>) () ())) ()) |
#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 (* 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 (* 8/3 (* wj x)) (taylor -inf x) (#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 (* -1 (* x (+ (* -8/3 wj) (* -1 (/ wj x))))) (taylor -inf x) (#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 (* -1 (* x (+ (* -8/3 wj) (* -1 (/ wj x))))) (taylor -inf x) (#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 (* -1 (* x (+ (* -8/3 wj) (* -1 (/ wj x))))) (taylor -inf x) (#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 (* -1 (* x (- (* wj (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj)))))) 1))) (taylor -inf x) (#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 (* -1 (* x (- (+ (* -1 (/ (* (pow wj 2) (- 1 wj)) x)) (* wj (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))))) 1))) (taylor -inf x) (#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 (* -1 (* x (- (+ (* -1 (/ (* (pow wj 2) (- 1 wj)) x)) (* wj (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))))) 1))) (taylor -inf x) (#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 (* -1 (* x (- (+ (* -1 (/ (* (pow wj 2) (- 1 wj)) x)) (* wj (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))))) 1))) (taylor -inf x) (#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>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | wj | @ | -inf | ((+ (* 2/3 x) (+ (* 2 x) 1)) (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj)) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/ wj (+ 1 wj)) (+ 1 wj) (/ (/ x (+ 1 wj)) (neg (exp wj))) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/ x (+ 1 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) (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj) (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (* (exp wj) wj)) |
| 6.0ms | x | @ | inf | ((+ (* 2/3 x) (+ (* 2 x) 1)) (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj)) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/ wj (+ 1 wj)) (+ 1 wj) (/ (/ x (+ 1 wj)) (neg (exp wj))) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/ x (+ 1 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) (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj) (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (* (exp wj) wj)) |
| 4.0ms | wj | @ | 0 | ((+ (* 2/3 x) (+ (* 2 x) 1)) (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj)) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/ wj (+ 1 wj)) (+ 1 wj) (/ (/ x (+ 1 wj)) (neg (exp wj))) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/ x (+ 1 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) (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj) (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (* (exp wj) wj)) |
| 4.0ms | x | @ | -inf | ((+ (* 2/3 x) (+ (* 2 x) 1)) (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj)) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/ wj (+ 1 wj)) (+ 1 wj) (/ (/ x (+ 1 wj)) (neg (exp wj))) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/ x (+ 1 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) (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj) (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (* (exp wj) wj)) |
| 3.0ms | x | @ | 0 | ((+ (* 2/3 x) (+ (* 2 x) 1)) (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj)) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/ wj (+ 1 wj)) (+ 1 wj) (/ (/ x (+ 1 wj)) (neg (exp wj))) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/ x (+ 1 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) (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj) (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (* (exp wj) wj)) |
| 1× | egg-herbie |
| 8 344× | lower-fma.f64 |
| 8 344× | lower-fma.f32 |
| 3 910× | lower-*.f64 |
| 3 910× | lower-*.f32 |
| 3 764× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 527 | 5954 |
| 1 | 1681 | 5626 |
| 2 | 5126 | 5131 |
| 0 | 8162 | 4771 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 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 |
(+ 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 (- (* 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)))) |
(* -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)))) |
wj |
(* wj (+ 1 (* -1 wj))) |
(* wj (+ 1 (* wj (- wj 1)))) |
(* wj (+ 1 (* wj (- (* wj (+ 1 (* -1 wj))) 1)))) |
1 |
(+ 1 wj) |
(+ 1 wj) |
(+ 1 wj) |
(* -1 x) |
(+ (* -1 x) (* 2 (* wj x))) |
(+ (* -1 x) (* wj (+ (* 2 x) (* wj (+ (* -4 x) (* 3/2 x)))))) |
(+ (* -1 x) (* wj (+ (* 2 x) (* wj (+ (* -4 x) (+ (* 3/2 x) (* wj (+ (* -3 x) (+ (* -2 (+ (* -4 x) (* 3/2 x))) (* 2/3 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 (* -1 (* wj x))) |
(+ x (* wj (- (* wj x) x))) |
(+ x (* wj (- (* wj (- (* -1 (* wj x)) (* -1 x))) x))) |
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))))))) |
(+ x (* wj (+ 1 (+ (* -1 (- 1 (* -2 x))) (* wj (+ (* -1 (* wj (- 1/2 (+ (* -2/3 x) (+ (* 3/2 (- 1 (* -2 x))) (* 2 (- 1 (+ (* -3/2 x) (* 2 (- 1 (* -2 x))))))))))) (* -1 (- 1 (+ (* -3/2 x) (* 2 (- 1 (* -2 x)))))))))))) |
-1 |
(- (* 2 wj) 1) |
(- (* wj (+ 2 (* -5/2 wj))) 1) |
(- (* wj (+ 2 (* wj (- (* 8/3 wj) 5/2)))) 1) |
1 |
(+ 1 (* 2 wj)) |
(+ 1 (* wj (+ 2 (* 3/2 wj)))) |
(+ 1 (* wj (+ 2 (* wj (+ 3/2 (* 2/3 wj)))))) |
1 |
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(+ 1 (* wj (+ 1 (* 1/2 wj)))) |
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(* wj (+ 1 (+ (* 2/3 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))))))) |
wj |
(* wj (+ 1 wj)) |
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(* wj (+ 1 (* wj (+ 1 (* wj (+ 1/2 (* 1/6 wj))))))) |
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wj |
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wj |
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1 |
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wj |
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(* -1 (/ x (* wj (exp wj)))) |
(/ (+ (* -1 (/ x (exp wj))) (/ x (* wj (exp wj)))) wj) |
(/ (+ (* -1 (/ x (exp wj))) (+ (* -1 (/ x (* (pow wj 2) (exp wj)))) (/ x (* wj (exp wj))))) wj) |
(/ (+ (* -1 (/ x (exp wj))) (+ (* -1 (/ x (* (pow wj 2) (exp wj)))) (+ (/ x (* wj (exp wj))) (/ x (* (pow wj 3) (exp wj)))))) wj) |
wj |
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(/ x wj) |
(/ (+ x (* -1 (/ x wj))) wj) |
(/ (- (+ x (/ x (pow wj 2))) (/ x wj)) wj) |
(/ (- (+ x (* -1 (/ x (pow wj 3)))) (+ (* -1 (/ x (pow wj 2))) (/ x wj))) wj) |
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) |
(* wj (exp wj)) |
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(* wj (+ (exp wj) (/ (exp wj) wj))) |
(* wj (+ (exp wj) (/ (exp wj) wj))) |
(exp wj) |
(exp wj) |
(exp wj) |
(exp wj) |
(* wj (+ 1 (+ (* 2/3 x) (* 2 x)))) |
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wj |
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wj |
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1 |
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wj |
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(* -1 (/ x (* wj (exp wj)))) |
(* -1 (/ (+ (* -1 (/ x (* wj (exp wj)))) (/ x (exp wj))) wj)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ x (* wj (exp wj)))) (/ x (exp wj))) wj)) (/ x (exp wj))) wj)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ x (* wj (exp wj)))) (/ x (exp wj))) wj)) (/ x (exp wj))) wj)) (/ x (exp wj))) wj)) |
wj |
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1 |
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(/ x wj) |
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(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x wj) x) wj))) wj)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x wj) x) wj)) x) wj))) wj)) |
wj |
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(* -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)) |
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(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (exp wj)) (/ 1 (* wj (exp wj)))) wj)) (/ 1 (exp wj))) wj)) (/ 1 (exp wj))) wj)) |
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(* -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 (+ (* 2/3 x) (* 2 x)))) |
(* wj (+ 1 (+ (* 2/3 x) (* 2 x)))) |
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(* -1 (* (pow wj 3) (+ 1 (+ (* -1 (/ (+ 1 (+ (* -2 (/ x wj)) (* 5/2 x))) wj)) (+ (* 2/3 x) (* 2 x)))))) |
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(* wj (exp wj)) |
(* wj (exp wj)) |
(* wj (exp wj)) |
(* wj (exp wj)) |
1 |
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(/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))) |
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(/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))) |
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wj |
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(+ wj (* 8/3 (* wj x))) |
(+ wj (* 8/3 (* wj x))) |
(* (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))) |
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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 (+ (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)))) |
(* 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)))) |
(* 8/3 (* wj x)) |
(* x (+ (* 8/3 wj) (/ wj x))) |
(* x (+ (* 8/3 wj) (/ wj x))) |
(* x (+ (* 8/3 wj) (/ 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)))) |
(* 8/3 x) |
(* x (+ 8/3 (/ 1 x))) |
(* x (+ 8/3 (/ 1 x))) |
(* x (+ 8/3 (/ 1 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))))) |
(* -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))))))) |
(/ 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))))))) |
(/ 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 (* (exp wj) (+ 1 wj)))) |
(* -1 (/ x (* (exp wj) (+ 1 wj)))) |
(* -1 (/ x (* (exp wj) (+ 1 wj)))) |
(* -1 (/ x (* (exp wj) (+ 1 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 (+ (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 (+ 1 wj)) |
(/ x (+ 1 wj)) |
(/ x (+ 1 wj)) |
(/ x (+ 1 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))))))) |
(* 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))))) |
(* -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))) |
| Outputs |
|---|
(+ 1 (* 5/2 x)) |
(fma.f64 x #s(literal 5/2 binary64) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (* wj (+ 1 (+ (* 2/3 x) (* 2 x))))) (* 5/2 x))) |
(fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) x (-.f64 #s(literal 1 binary64) wj)) |
(+ 1 (+ (* -1 (* wj (+ 1 (+ (* 2/3 x) (* 2 x))))) (* 5/2 x))) |
(fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) x (-.f64 #s(literal 1 binary64) wj)) |
(+ 1 (+ (* -1 (* wj (+ 1 (+ (* 2/3 x) (* 2 x))))) (* 5/2 x))) |
(fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) x (-.f64 #s(literal 1 binary64) wj)) |
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 #s(literal -2 binary64) x (*.f64 wj (fma.f64 x #s(literal 5/2 binary64) #s(literal 1 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 #s(literal -2 binary64) x (*.f64 (fma.f64 x #s(literal 5/2 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -3 binary64) x (fma.f64 #s(literal 2/3 binary64) x (*.f64 x #s(literal 5 binary64)))) wj wj))) wj)) 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 #s(literal -2 binary64) x (*.f64 wj (fma.f64 x #s(literal 5/2 binary64) #s(literal 1 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 #s(literal -2 binary64) x (*.f64 (fma.f64 x #s(literal 5/2 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -3 binary64) x (fma.f64 #s(literal 2/3 binary64) x (*.f64 x #s(literal 5 binary64)))) wj wj))) wj)) wj x) |
(* -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) (fma.f64 #s(literal -3/2 binary64) x (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 2 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 #s(literal -2/3 binary64) x (fma.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3/2 binary64) x (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 3/2 binary64))))) wj (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3/2 binary64) x (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 2 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 #s(literal -2 binary64) x (*.f64 wj (fma.f64 x #s(literal 5/2 binary64) #s(literal 1 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 #s(literal -2 binary64) x (*.f64 (fma.f64 x #s(literal 5/2 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -3 binary64) x (fma.f64 #s(literal 2/3 binary64) x (*.f64 x #s(literal 5 binary64)))) wj wj))) wj)) wj x) |
(* -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) (fma.f64 #s(literal -3/2 binary64) x (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 2 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 #s(literal -2/3 binary64) x (fma.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3/2 binary64) x (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 3/2 binary64))))) wj (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3/2 binary64) x (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64))))) wj (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj (neg.f64 x)) |
wj |
(* wj (+ 1 (* -1 wj))) |
(*.f64 (-.f64 #s(literal 1 binary64) wj) wj) |
(* wj (+ 1 (* wj (- wj 1)))) |
(*.f64 (fma.f64 (-.f64 wj #s(literal 1 binary64)) wj #s(literal 1 binary64)) wj) |
(* wj (+ 1 (* wj (- (* wj (+ 1 (* -1 wj))) 1)))) |
(fma.f64 (*.f64 wj wj) (fma.f64 (-.f64 #s(literal 1 binary64) wj) wj #s(literal -1 binary64)) wj) |
1 |
#s(literal 1 binary64) |
(+ 1 wj) |
(+.f64 wj #s(literal 1 binary64)) |
(+ 1 wj) |
(+.f64 wj #s(literal 1 binary64)) |
(+ 1 wj) |
(+.f64 wj #s(literal 1 binary64)) |
(* -1 x) |
(neg.f64 x) |
(+ (* -1 x) (* 2 (* wj x))) |
(*.f64 x (fma.f64 #s(literal 2 binary64) wj #s(literal -1 binary64))) |
(+ (* -1 x) (* wj (+ (* 2 x) (* wj (+ (* -4 x) (* 3/2 x)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -5/2 binary64) x) wj (*.f64 #s(literal 2 binary64) x)) wj (neg.f64 x)) |
(+ (* -1 x) (* wj (+ (* 2 x) (* wj (+ (* -4 x) (+ (* 3/2 x) (* wj (+ (* -3 x) (+ (* -2 (+ (* -4 x) (* 3/2 x))) (* 2/3 x)))))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -5/2 binary64) x (*.f64 (fma.f64 #s(literal -3 binary64) x (fma.f64 #s(literal 2/3 binary64) x (*.f64 x #s(literal 5 binary64)))) wj)) wj (*.f64 #s(literal 2 binary64) x)) 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 #s(literal -2 binary64) x (*.f64 wj (fma.f64 x #s(literal 5/2 binary64) #s(literal 1 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 #s(literal -2 binary64) x (*.f64 (fma.f64 x #s(literal 5/2 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -3 binary64) x (fma.f64 #s(literal 2/3 binary64) x (*.f64 x #s(literal 5 binary64)))) wj wj))) wj)) wj x) |
(* -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) (fma.f64 #s(literal -3/2 binary64) x (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 2 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 #s(literal -2/3 binary64) x (fma.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3/2 binary64) x (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 3/2 binary64))))) wj (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3/2 binary64) x (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64))))) wj (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj (neg.f64 x)) |
x |
(+ x (* -1 (* wj x))) |
(fma.f64 (neg.f64 x) wj x) |
(+ x (* wj (- (* wj x) x))) |
(fma.f64 (*.f64 x (-.f64 wj #s(literal 1 binary64))) wj x) |
(+ x (* wj (- (* wj (- (* -1 (* wj x)) (* -1 x))) x))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 x) wj x) wj (neg.f64 x)) wj x) |
x |
(+ x (* wj (+ 1 (* -1 (- 1 (* -2 x)))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))) wj x) |
(+ x (* wj (+ 1 (+ (* -1 (* wj (- 1 (+ (* -3/2 x) (* 2 (- 1 (* -2 x))))))) (* -1 (- 1 (* -2 x))))))) |
(fma.f64 (fma.f64 (+.f64 (fma.f64 #s(literal -3/2 binary64) x (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) wj (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))) wj x) |
(+ x (* wj (+ 1 (+ (* -1 (- 1 (* -2 x))) (* wj (+ (* -1 (* wj (- 1/2 (+ (* -2/3 x) (+ (* 3/2 (- 1 (* -2 x))) (* 2 (- 1 (+ (* -3/2 x) (* 2 (- 1 (* -2 x))))))))))) (* -1 (- 1 (+ (* -3/2 x) (* 2 (- 1 (* -2 x)))))))))))) |
(fma.f64 (fma.f64 (neg.f64 wj) (fma.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -2/3 binary64) x (fma.f64 (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3/2 binary64) x (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 3/2 binary64))))) wj (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3/2 binary64) x (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))) wj x) |
-1 |
#s(literal -1 binary64) |
(- (* 2 wj) 1) |
(fma.f64 #s(literal 2 binary64) wj #s(literal -1 binary64)) |
(- (* wj (+ 2 (* -5/2 wj))) 1) |
(fma.f64 (fma.f64 #s(literal -5/2 binary64) wj #s(literal 2 binary64)) wj #s(literal -1 binary64)) |
(- (* wj (+ 2 (* wj (- (* 8/3 wj) 5/2)))) 1) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 8/3 binary64) wj #s(literal -5/2 binary64)) wj #s(literal 2 binary64)) wj #s(literal -1 binary64)) |
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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(* wj (+ 1 (+ (* 2/3 x) (* 2 x)))) |
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(+ x (* -2 (* wj x))) |
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(+ x (* wj (+ (* -2 x) (* wj (+ 1 (* 5/2 x)))))) |
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(* wj (+ 1 wj)) |
(fma.f64 wj wj wj) |
(* wj (+ 1 (* wj (+ 1 (* 1/2 wj))))) |
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(-.f64 wj #s(literal 1 binary64)) |
(* wj (- (+ 1 (+ (/ 1 (pow wj 2)) (/ x (* (pow wj 2) (exp wj))))) (/ 1 wj))) |
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#s(literal 1 binary64) |
(- 1 (/ 1 wj)) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) wj)) |
(- (+ 1 (/ 1 (pow wj 2))) (/ 1 wj)) |
(-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) wj) wj) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) wj)) |
(- (+ 1 (/ 1 (pow wj 2))) (+ (/ 1 wj) (/ 1 (pow wj 3)))) |
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(* wj (+ 1 (/ 1 wj))) |
(+.f64 wj #s(literal 1 binary64)) |
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(+.f64 wj #s(literal 1 binary64)) |
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(-.f64 wj #s(literal 1 binary64)) |
(* wj (- (+ 1 (+ (/ 1 (pow wj 2)) (/ x (* (pow wj 2) (exp wj))))) (/ 1 wj))) |
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(/ x wj) |
(/.f64 x wj) |
(/ (+ x (* -1 (/ x wj))) wj) |
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(/ (- (+ x (/ x (pow wj 2))) (/ x wj)) wj) |
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(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x wj) x) wj) (-.f64 x (/.f64 x (pow.f64 wj #s(literal 3 binary64))))) wj) |
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(* wj (- 1 (/ 1 wj))) |
(-.f64 wj #s(literal 1 binary64)) |
(* wj (- (+ 1 (* -1 (/ (- (* -1 (/ x (exp wj))) 1) (pow wj 2)))) (/ 1 wj))) |
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(exp wj) |
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(exp wj) |
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(exp wj) |
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(* -1 (* wj (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ x (exp wj))) 1) wj)) 1) wj)) 1))) |
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(* -1 (* x (- (* -1 (/ (- 1 wj) x)) (* -8/3 wj)))) |
(*.f64 (fma.f64 #s(literal -8/3 binary64) wj (/.f64 (-.f64 #s(literal 1 binary64) wj) x)) x) |
(* -1 (* x (- (* -1 (/ (- 1 wj) x)) (* -8/3 wj)))) |
(*.f64 (fma.f64 #s(literal -8/3 binary64) wj (/.f64 (-.f64 #s(literal 1 binary64) wj) x)) x) |
(* -1 (* x (- (* -1 (/ (- 1 wj) x)) (* -8/3 wj)))) |
(*.f64 (fma.f64 #s(literal -8/3 binary64) wj (/.f64 (-.f64 #s(literal 1 binary64) wj) x)) 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))))))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 wj (+.f64 wj #s(literal 1 binary64))) #s(literal -1 binary64) wj) x) x (/.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))))))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 wj (+.f64 wj #s(literal 1 binary64))) #s(literal -1 binary64) wj) x) x (/.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))))))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 wj (+.f64 wj #s(literal 1 binary64))) #s(literal -1 binary64) wj) x) x (/.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 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 wj (+.f64 wj #s(literal 1 binary64))) #s(literal -1 binary64) wj) x) x (/.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))))))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 wj (+.f64 wj #s(literal 1 binary64))) #s(literal -1 binary64) wj) x) x (/.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))))))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 wj (+.f64 wj #s(literal 1 binary64))) #s(literal -1 binary64) wj) x) x (/.f64 x (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))) |
(* -1 (/ x (+ (exp wj) (* wj (exp wj))))) |
(/.f64 (/.f64 x (+.f64 wj #s(literal 1 binary64))) (neg.f64 (exp.f64 wj))) |
(* -1 (* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 wj #s(literal 1 binary64))) x) wj (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))) x) |
(* -1 (* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 wj #s(literal 1 binary64))) x) wj (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))) x) |
(* -1 (* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 wj #s(literal 1 binary64))) x) wj (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 wj) wj (exp.f64 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))))))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 wj (+.f64 wj #s(literal 1 binary64))) #s(literal -1 binary64) wj) x) x (/.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))))))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 wj (+.f64 wj #s(literal 1 binary64))) #s(literal -1 binary64) wj) x) x (/.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))))))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 wj (+.f64 wj #s(literal 1 binary64))) #s(literal -1 binary64) wj) x) x (/.f64 x (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))) |
(* -1 (/ x (+ (exp wj) (* wj (exp wj))))) |
(/.f64 (/.f64 x (+.f64 wj #s(literal 1 binary64))) (neg.f64 (exp.f64 wj))) |
(* -1 (* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 wj #s(literal 1 binary64))) x) wj (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))) x) |
(* -1 (* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 wj #s(literal 1 binary64))) x) wj (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))) x) |
(* -1 (* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 wj #s(literal 1 binary64))) x) wj (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))) x) |
(* -1 (/ x (* (exp wj) (+ 1 wj)))) |
(/.f64 (/.f64 x (+.f64 wj #s(literal 1 binary64))) (neg.f64 (exp.f64 wj))) |
(* -1 (/ x (* (exp wj) (+ 1 wj)))) |
(/.f64 (/.f64 x (+.f64 wj #s(literal 1 binary64))) (neg.f64 (exp.f64 wj))) |
(* -1 (/ x (* (exp wj) (+ 1 wj)))) |
(/.f64 (/.f64 x (+.f64 wj #s(literal 1 binary64))) (neg.f64 (exp.f64 wj))) |
(* -1 (/ x (* (exp wj) (+ 1 wj)))) |
(/.f64 (/.f64 x (+.f64 wj #s(literal 1 binary64))) (neg.f64 (exp.f64 wj))) |
(/ 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))))))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 wj (+.f64 wj #s(literal 1 binary64))) #s(literal -1 binary64) wj) x) x (/.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))))))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 wj (+.f64 wj #s(literal 1 binary64))) #s(literal -1 binary64) wj) x) x (/.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))))))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 wj (+.f64 wj #s(literal 1 binary64))) #s(literal -1 binary64) wj) x) x (/.f64 x (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))) |
(* -1 (/ x (+ (exp wj) (* wj (exp wj))))) |
(/.f64 (/.f64 x (+.f64 wj #s(literal 1 binary64))) (neg.f64 (exp.f64 wj))) |
(* -1 (* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 wj #s(literal 1 binary64))) x) wj (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))) x) |
(* -1 (* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 wj #s(literal 1 binary64))) x) wj (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))) x) |
(* -1 (* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 wj #s(literal 1 binary64))) x) wj (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))) x) |
(/ x (+ 1 wj)) |
(/.f64 x (+.f64 wj #s(literal 1 binary64))) |
(/ x (+ 1 wj)) |
(/.f64 x (+.f64 wj #s(literal 1 binary64))) |
(/ x (+ 1 wj)) |
(/.f64 x (+.f64 wj #s(literal 1 binary64))) |
(/ x (+ 1 wj)) |
(/.f64 x (+.f64 wj #s(literal 1 binary64))) |
(/ 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))))))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 wj (+.f64 wj #s(literal 1 binary64))) #s(literal -1 binary64) wj) x) x (/.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))))))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 wj (+.f64 wj #s(literal 1 binary64))) #s(literal -1 binary64) wj) x) x (/.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))))))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 wj (+.f64 wj #s(literal 1 binary64))) #s(literal -1 binary64) wj) x) x (/.f64 x (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))) |
(* 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 x)) x) |
(* -1 (* x (+ (* -8/3 wj) (* -1 (/ wj x))))) |
(*.f64 (fma.f64 #s(literal 8/3 binary64) wj (/.f64 wj x)) x) |
(* -1 (* x (+ (* -8/3 wj) (* -1 (/ wj x))))) |
(*.f64 (fma.f64 #s(literal 8/3 binary64) wj (/.f64 wj x)) x) |
(* -1 (* x (- (* wj (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj)))))) 1))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 8/3 binary64) wj #s(literal -5/2 binary64)) wj #s(literal 2 binary64)) wj #s(literal -1 binary64)) (neg.f64 x)) |
(* -1 (* x (- (+ (* -1 (/ (* (pow wj 2) (- 1 wj)) x)) (* wj (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))))) 1))) |
(*.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 (-.f64 wj #s(literal 1 binary64)) x) (*.f64 wj wj) #s(literal -1 binary64))) (neg.f64 x)) |
(* -1 (* x (- (+ (* -1 (/ (* (pow wj 2) (- 1 wj)) x)) (* wj (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))))) 1))) |
(*.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 (-.f64 wj #s(literal 1 binary64)) x) (*.f64 wj wj) #s(literal -1 binary64))) (neg.f64 x)) |
(* -1 (* x (- (+ (* -1 (/ (* (pow wj 2) (- 1 wj)) x)) (* wj (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))))) 1))) |
(*.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 (-.f64 wj #s(literal 1 binary64)) x) (*.f64 wj wj) #s(literal -1 binary64))) (neg.f64 x)) |
| 4 730× | lower-/.f32 |
| 4 722× | lower-/.f64 |
| 3 930× | lower-*.f32 |
| 3 924× | lower-*.f64 |
| 3 406× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 286 |
| 0 | 69 | 279 |
| 1 | 340 | 266 |
| 2 | 2781 | 266 |
| 0 | 8614 | 260 |
| 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))) |
(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))) |
(-.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)) |
(-.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)) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))) |
#s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) |
(/.f64 wj (+.f64 #s(literal 1 binary64) wj)) |
(+.f64 #s(literal 1 binary64) wj) |
(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (neg.f64 (exp.f64 wj))) |
(-.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 (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (neg.f64 (exp.f64 wj)))) |
(/.f64 x (+.f64 #s(literal 1 binary64) 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) |
(*.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 (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 (exp.f64 wj) wj) |
| 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 (neg.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 8/3 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 x #s(literal 8/3 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.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)))) (neg.f64 (-.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) (*.f64 x #s(literal 2/3 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 512/27 binary64) #s(literal 1 binary64))) (neg.f64 (+.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 (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 (neg.f64 (-.f64 (*.f64 x #s(literal 2/3 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))))) |
(/.f64 (neg.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 (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)))))))) |
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(/.f64 (-.f64 (*.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 x (*.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 (neg.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))) (neg.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 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 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 3 binary64)))) (neg.f64 (fma.f64 x 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 (*.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) x))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 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 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.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)) (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 (-.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))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 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 3 binary64))) (fma.f64 x 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 (*.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) x)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 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 3 binary64))) (fma.f64 x (-.f64 x (*.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)) (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 #s(literal -1 binary64) (neg.f64 (/.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) (neg.f64 (/.f64 (fma.f64 x (-.f64 x (*.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)) (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 (pow.f64 x #s(literal 3 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 3 binary64)))))) |
(/.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 x (-.f64 x (*.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)) (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 (pow.f64 x #s(literal 3 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 3 binary64))))) |
(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 x) |
(fma.f64 wj (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)) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.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 (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 (*.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 (/.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)) (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 (*.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)))) |
(+.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) x) |
(+.f64 x (*.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 (exp.f64 wj) wj) |
(*.f64 wj (exp.f64 wj)) |
Compiled 24 433 to 3 065 computations (87.5% saved)
17 alts after pruning (15 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 993 | 13 | 1 006 |
| Fresh | 6 | 2 | 8 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 002 | 17 | 1 019 |
| Status | Accuracy | Program |
|---|---|---|
| 78.6% | (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(approx (exp wj) (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 (exp.f64 wj))) (-.f64 (*.f64 (exp.f64 wj) wj) x) wj) | |
| 79.4% | (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 wj #s(literal 1 binary64))) (/.f64 (-.f64 (*.f64 (exp.f64 wj) wj) x) (exp.f64 wj)) wj) | |
| ▶ | 6.5% | (/.f64 (-.f64 (*.f64 wj wj) (pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) #s(literal 2 binary64))) (+.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) wj)) |
| 6.5% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) wj) (-.f64 (*.f64 wj wj) (pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) #s(literal 2 binary64))))) | |
| 80.5% | (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (fma.f64 (/.f64 wj (+.f64 wj #s(literal 1 binary64))) #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 wj #s(literal 1 binary64))) (neg.f64 (exp.f64 wj)))))) | |
| ▶ | 74.4% | (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 (fma.f64 #s(literal -1 binary64) wj #s(literal -1 binary64)) (exp.f64 wj))))) |
| ✓ | 6.5% | (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))) |
| 6.5% | (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 wj #s(literal 1 binary64)) wj)))) | |
| ▶ | 72.9% | (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x))) |
| 4.7% | (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(approx (/ wj (+ 1 wj)) (*.f64 (-.f64 #s(literal 1 binary64) wj) wj)))) | |
| ✓ | 4.1% | (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64))) |
| 91.6% | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (fma.f64 (fma.f64 #s(literal 5/2 binary64) x (/.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))) (fma.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) wj (*.f64 #s(literal -2 binary64) x)) wj x)) | |
| ▶ | 96.9% | #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)) |
| 87.8% | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (*.f64 wj x) #s(literal -2 binary64) x)) | |
| 88.1% | #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) (fma.f64 (fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) (*.f64 wj x) x))) | |
| 10.2% | #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 (-.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))))) | |
| ▶ | 11.5% | #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 #s(literal 1 binary64) wj) (*.f64 wj wj)))) |
Compiled 472 to 334 computations (29.2% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 wj wj) | |
| cost-diff | 0 | (-.f64 (*.f64 wj wj) (pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) #s(literal 2 binary64))) | |
| cost-diff | 8256 | (/.f64 (-.f64 (*.f64 wj wj) (pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) #s(literal 2 binary64))) (+.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) wj)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal -1 binary64) wj #s(literal -1 binary64)) (exp.f64 wj)) | |
| cost-diff | 0 | #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 (fma.f64 #s(literal -1 binary64) wj #s(literal -1 binary64)) (exp.f64 wj)))) | |
| cost-diff | 0 | (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 (fma.f64 #s(literal -1 binary64) wj #s(literal -1 binary64)) (exp.f64 wj))))) | |
| cost-diff | 192 | (fma.f64 #s(literal -1 binary64) wj #s(literal -1 binary64)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) wj) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) wj) (*.f64 wj wj)) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 (-.f64 #s(literal 1 binary64) wj) (*.f64 wj wj))) | |
| 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 (-.f64 #s(literal 1 binary64) wj) (*.f64 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 | #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)) |
| 17 808× | lower-fma.f32 |
| 17 802× | lower-fma.f64 |
| 3 872× | lower-+.f32 |
| 3 868× | lower-+.f64 |
| 3 072× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 502 |
| 0 | 76 | 490 |
| 1 | 137 | 461 |
| 2 | 283 | 461 |
| 3 | 868 | 425 |
| 4 | 2613 | 392 |
| 5 | 7541 | 392 |
| 0 | 8208 | 376 |
| 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 |
(-.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 (- 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 #s(literal 1 binary64) wj) (*.f64 wj wj)))) |
#s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 (-.f64 #s(literal 1 binary64) wj) (*.f64 wj wj))) |
(*.f64 (-.f64 #s(literal 1 binary64) wj) (*.f64 wj wj)) |
(-.f64 #s(literal 1 binary64) wj) |
#s(literal 1 binary64) |
wj |
(*.f64 wj wj) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 (fma.f64 #s(literal -1 binary64) wj #s(literal -1 binary64)) (exp.f64 wj))))) |
wj |
#s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 (fma.f64 #s(literal -1 binary64) wj #s(literal -1 binary64)) (exp.f64 wj)))) |
(/.f64 x (*.f64 (fma.f64 #s(literal -1 binary64) wj #s(literal -1 binary64)) (exp.f64 wj))) |
x |
(*.f64 (fma.f64 #s(literal -1 binary64) wj #s(literal -1 binary64)) (exp.f64 wj)) |
(fma.f64 #s(literal -1 binary64) wj #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(exp.f64 wj) |
(/.f64 (-.f64 (*.f64 wj wj) (pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) #s(literal 2 binary64))) (+.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) wj)) |
(-.f64 (*.f64 wj wj) (pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) #s(literal 2 binary64))) |
(*.f64 wj wj) |
wj |
(pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) #s(literal 2 binary64)) |
#s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) |
(/.f64 wj (+.f64 wj #s(literal 1 binary64))) |
(+.f64 wj #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(+.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 wj #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)) |
(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 |
(-.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 (- 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 #s(literal 1 binary64) wj) (*.f64 wj 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 (*.f64 (-.f64 #s(literal 1 binary64) wj) wj) wj))) |
#s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 (-.f64 #s(literal 1 binary64) wj) (*.f64 wj 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)) |
(*.f64 (-.f64 #s(literal 1 binary64) wj) (*.f64 wj wj)) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) wj) wj) wj) |
(-.f64 #s(literal 1 binary64) wj) |
#s(literal 1 binary64) |
wj |
(*.f64 wj wj) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 (fma.f64 #s(literal -1 binary64) wj #s(literal -1 binary64)) (exp.f64 wj))))) |
(-.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)))) |
wj |
#s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 (fma.f64 #s(literal -1 binary64) wj #s(literal -1 binary64)) (exp.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))) |
(/.f64 x (*.f64 (fma.f64 #s(literal -1 binary64) wj #s(literal -1 binary64)) (exp.f64 wj))) |
(/.f64 (/.f64 x (-.f64 #s(literal -1 binary64) wj)) (exp.f64 wj)) |
x |
(*.f64 (fma.f64 #s(literal -1 binary64) wj #s(literal -1 binary64)) (exp.f64 wj)) |
(*.f64 (exp.f64 wj) (-.f64 #s(literal -1 binary64) wj)) |
(fma.f64 #s(literal -1 binary64) wj #s(literal -1 binary64)) |
(-.f64 #s(literal -1 binary64) wj) |
#s(literal -1 binary64) |
(exp.f64 wj) |
(/.f64 (-.f64 (*.f64 wj wj) (pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) #s(literal 2 binary64))) (+.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) wj)) |
(*.f64 (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (-.f64 wj #s(literal -1 binary64))))) #s(literal 1 binary64)) |
(-.f64 (*.f64 wj wj) (pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) #s(literal 2 binary64))) |
(-.f64 (*.f64 wj wj) (pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (-.f64 wj #s(literal -1 binary64)))) #s(literal 2 binary64))) |
(*.f64 wj wj) |
wj |
(pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (-.f64 wj #s(literal -1 binary64)))) #s(literal 2 binary64)) |
#s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) |
#s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (-.f64 wj #s(literal -1 binary64)))) |
(/.f64 wj (+.f64 wj #s(literal 1 binary64))) |
(/.f64 wj (-.f64 wj #s(literal -1 binary64))) |
(+.f64 wj #s(literal 1 binary64)) |
(-.f64 wj #s(literal -1 binary64)) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(+.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) wj) |
(+.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (-.f64 wj #s(literal -1 binary64)))) wj) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0390625 | (+.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) wj) | |
| accuracy | 5.593831818026327 | (-.f64 (*.f64 wj wj) (pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) #s(literal 2 binary64))) | |
| accuracy | 26.686771739546828 | (/.f64 (-.f64 (*.f64 wj wj) (pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) #s(literal 2 binary64))) (+.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) wj)) | |
| accuracy | 47.14059550147316 | #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) | |
| accuracy | 0.0078125 | (*.f64 (fma.f64 #s(literal -1 binary64) wj #s(literal -1 binary64)) (exp.f64 wj)) | |
| accuracy | 0.25037912152252795 | (/.f64 x (*.f64 (fma.f64 #s(literal -1 binary64) wj #s(literal -1 binary64)) (exp.f64 wj))) | |
| accuracy | 12.216752187527062 | (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 (fma.f64 #s(literal -1 binary64) wj #s(literal -1 binary64)) (exp.f64 wj))))) | |
| accuracy | 16.738149705731935 | #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 (fma.f64 #s(literal -1 binary64) wj #s(literal -1 binary64)) (exp.f64 wj)))) | |
| accuracy | 0 | (*.f64 wj wj) | |
| accuracy | 0.0234375 | (*.f64 (-.f64 #s(literal 1 binary64) wj) (*.f64 wj wj)) | |
| accuracy | 1.7718589335464345 | #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 #s(literal 1 binary64) wj) (*.f64 wj wj)))) | |
| accuracy | 55.35188120888313 | #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 (-.f64 #s(literal 1 binary64) wj) (*.f64 wj wj))) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 12.216752187527062 | (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x))) | |
| accuracy | 17.72843237760193 | #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x)) | |
| accuracy | 0.00390625 | (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 | 0.0078125 | (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 | 1.7718589335464345 | #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 | 32.57938346342466 | #s(approx (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) (-.f64 #s(literal 1 binary64) wj)) |
| 61.0ms | 61× | 1 | valid |
| 54.0ms | 194× | 0 | valid |
| 1.0ms | 1× | 2 | valid |
Compiled 362 to 43 computations (88.1% saved)
ival-mult: 38.0ms (41.4% of total)ival-div: 15.0ms (16.4% of total)ival-add: 12.0ms (13.1% of total)ival-sub: 7.0ms (7.6% of total)adjust: 5.0ms (5.5% of total)ival-exp: 4.0ms (4.4% of total)const: 4.0ms (4.4% of total)ival-pow2: 3.0ms (3.3% of total)exact: 1.0ms (1.1% of total)ival-neg: 1.0ms (1.1% 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 (-.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 #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 #s(literal 1 binary64) wj) (*.f64 wj wj)))) (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 (-.f64 #s(literal 1 binary64) wj) (*.f64 wj wj)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 (-.f64 #s(literal 1 binary64) wj) (*.f64 wj wj))) (patch #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 (-.f64 #s(literal 1 binary64) wj) (*.f64 wj wj))) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) wj) (*.f64 wj wj)) (patch (*.f64 (-.f64 #s(literal 1 binary64) wj) (*.f64 wj wj)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) wj) (patch (-.f64 #s(literal 1 binary64) wj) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -1 binary64) wj #s(literal -1 binary64)) (patch (fma.f64 #s(literal -1 binary64) wj #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 (fma.f64 #s(literal -1 binary64) wj #s(literal -1 binary64)) (exp.f64 wj))))) (patch (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 (fma.f64 #s(literal -1 binary64) wj #s(literal -1 binary64)) (exp.f64 wj))))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 (fma.f64 #s(literal -1 binary64) wj #s(literal -1 binary64)) (exp.f64 wj)))) (patch #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 (fma.f64 #s(literal -1 binary64) wj #s(literal -1 binary64)) (exp.f64 wj)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 #s(literal -1 binary64) wj #s(literal -1 binary64)) (exp.f64 wj)) (patch (*.f64 (fma.f64 #s(literal -1 binary64) wj #s(literal -1 binary64)) (exp.f64 wj)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (*.f64 wj wj) (pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) #s(literal 2 binary64))) (+.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) wj)) (patch (/.f64 (-.f64 (*.f64 wj wj) (pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) #s(literal 2 binary64))) (+.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) wj)) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 wj wj) (pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) #s(literal 2 binary64))) (patch (-.f64 (*.f64 wj wj) (pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 wj wj) (patch (*.f64 wj wj) #<representation binary64>) () ()) |
#s(alt (pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) #s(literal 2 binary64)) (patch (pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 x (*.f64 (fma.f64 #s(literal -1 binary64) wj #s(literal -1 binary64)) (exp.f64 wj))) (patch (/.f64 x (*.f64 (fma.f64 #s(literal -1 binary64) wj #s(literal -1 binary64)) (exp.f64 wj))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) (patch #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) wj) (patch (+.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) wj) #<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 (-.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 (+ x (* -2 (* wj x))) (taylor 0 wj) (#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 (+ x (* wj (- (* wj (- 1 (+ (* -4 x) (* 3/2 x)))) (* 2 x)))) (taylor 0 wj) (#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 (+ 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 #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 (* -1 x) (taylor 0 wj) (#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) (* wj (- 1 (* -2 x)))) (taylor 0 wj) (#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) (* wj (- (+ 1 (* wj (- 1 (+ (* -3/2 x) (* 2 (- 1 (* -2 x))))))) (* -2 x)))) (taylor 0 wj) (#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) (* 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 #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 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 (-.f64 #s(literal 1 binary64) wj) (*.f64 wj wj)))) (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 (-.f64 #s(literal 1 binary64) wj) (*.f64 wj wj)))) #<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 (-.f64 #s(literal 1 binary64) wj) (*.f64 wj wj)))) (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 (-.f64 #s(literal 1 binary64) wj) (*.f64 wj wj)))) #<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 (-.f64 #s(literal 1 binary64) wj) (*.f64 wj wj)))) (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 (-.f64 #s(literal 1 binary64) wj) (*.f64 wj 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 #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 #s(literal 1 binary64) wj) (*.f64 wj wj)))) (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 (-.f64 #s(literal 1 binary64) wj) (*.f64 wj wj)))) #<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 (-.f64 #s(literal 1 binary64) wj) (*.f64 wj wj))) (patch #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 (-.f64 #s(literal 1 binary64) wj) (*.f64 wj wj))) #<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 (-.f64 #s(literal 1 binary64) wj) (*.f64 wj wj))) (patch #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 (-.f64 #s(literal 1 binary64) wj) (*.f64 wj wj))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* wj (+ (* -2 x) (* wj (+ 1 (* 5/2 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 (-.f64 #s(literal 1 binary64) wj) (*.f64 wj wj))) (patch #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 (-.f64 #s(literal 1 binary64) wj) (*.f64 wj wj))) #<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 #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 (-.f64 #s(literal 1 binary64) wj) (*.f64 wj wj))) (patch #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 (-.f64 #s(literal 1 binary64) wj) (*.f64 wj wj))) #<representation binary64>) () ())) ()) |
#s(alt (pow wj 2) (taylor 0 wj) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) wj) (*.f64 wj wj)) (patch (*.f64 (-.f64 #s(literal 1 binary64) wj) (*.f64 wj wj)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow wj 2) (+ 1 (* -1 wj))) (taylor 0 wj) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) wj) (*.f64 wj wj)) (patch (*.f64 (-.f64 #s(literal 1 binary64) wj) (*.f64 wj wj)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow wj 2) (+ 1 (* -1 wj))) (taylor 0 wj) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) wj) (*.f64 wj wj)) (patch (*.f64 (-.f64 #s(literal 1 binary64) wj) (*.f64 wj wj)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow wj 2) (+ 1 (* -1 wj))) (taylor 0 wj) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) wj) (*.f64 wj wj)) (patch (*.f64 (-.f64 #s(literal 1 binary64) wj) (*.f64 wj wj)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 wj) (#s(alt (-.f64 #s(literal 1 binary64) wj) (patch (-.f64 #s(literal 1 binary64) wj) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 wj)) (taylor 0 wj) (#s(alt (-.f64 #s(literal 1 binary64) wj) (patch (-.f64 #s(literal 1 binary64) wj) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 wj)) (taylor 0 wj) (#s(alt (-.f64 #s(literal 1 binary64) wj) (patch (-.f64 #s(literal 1 binary64) wj) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 wj)) (taylor 0 wj) (#s(alt (-.f64 #s(literal 1 binary64) wj) (patch (-.f64 #s(literal 1 binary64) wj) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 wj) (#s(alt (fma.f64 #s(literal -1 binary64) wj #s(literal -1 binary64)) (patch (fma.f64 #s(literal -1 binary64) wj #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 wj) 1) (taylor 0 wj) (#s(alt (fma.f64 #s(literal -1 binary64) wj #s(literal -1 binary64)) (patch (fma.f64 #s(literal -1 binary64) wj #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | 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))) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg x) (- 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) (* (- 1 wj) (* wj wj)) (- 1 wj) (+ (* -1 wj) -1) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (* (+ (* -1 wj) -1) (exp wj)) (/ (- (* wj wj) (pow (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) 2)) (+ (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) wj)) (- (* wj wj) (pow (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) 2)) (* wj wj) (pow (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) 2) (/ x (* (+ (* -1 wj) -1) (exp wj))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (+ (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) wj)) |
| 7.0ms | 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))) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg x) (- 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) (* (- 1 wj) (* wj wj)) (- 1 wj) (+ (* -1 wj) -1) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (* (+ (* -1 wj) -1) (exp wj)) (/ (- (* wj wj) (pow (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) 2)) (+ (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) wj)) (- (* wj wj) (pow (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) 2)) (* wj wj) (pow (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) 2) (/ x (* (+ (* -1 wj) -1) (exp wj))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (+ (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) wj)) |
| 5.0ms | 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))) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg x) (- 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) (* (- 1 wj) (* wj wj)) (- 1 wj) (+ (* -1 wj) -1) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (* (+ (* -1 wj) -1) (exp wj)) (/ (- (* wj wj) (pow (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) 2)) (+ (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) wj)) (- (* wj wj) (pow (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) 2)) (* wj wj) (pow (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) 2) (/ x (* (+ (* -1 wj) -1) (exp wj))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (+ (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) wj)) |
| 4.0ms | wj | @ | 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))) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg x) (- 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) (* (- 1 wj) (* wj wj)) (- 1 wj) (+ (* -1 wj) -1) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (* (+ (* -1 wj) -1) (exp wj)) (/ (- (* wj wj) (pow (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) 2)) (+ (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) wj)) (- (* wj wj) (pow (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) 2)) (* wj wj) (pow (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) 2) (/ x (* (+ (* -1 wj) -1) (exp wj))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (+ (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) wj)) |
| 4.0ms | 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))) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg x) (- 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) (* (- 1 wj) (* wj wj)) (- 1 wj) (+ (* -1 wj) -1) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (* (+ (* -1 wj) -1) (exp wj)) (/ (- (* wj wj) (pow (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) 2)) (+ (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) wj)) (- (* wj wj) (pow (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) 2)) (* wj wj) (pow (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) 2) (/ x (* (+ (* -1 wj) -1) (exp wj))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (+ (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) wj)) |
| 1× | egg-herbie |
| 9 176× | lower-fma.f64 |
| 9 176× | lower-fma.f32 |
| 6 152× | lower-+.f64 |
| 6 152× | lower-+.f32 |
| 5 246× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 816 | 9904 |
| 1 | 2683 | 9561 |
| 0 | 8417 | 9072 |
| 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 (* -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 (+ (* -2 x) (* wj (+ 1 (* 5/2 x)))))) |
(+ x (* wj (+ (* -2 x) (* wj (+ 1 (+ (* -1 (* wj (+ 1 (+ (* 2/3 x) (* 2 x))))) (* 5/2 x))))))) |
(pow wj 2) |
(* (pow wj 2) (+ 1 (* -1 wj))) |
(* (pow wj 2) (+ 1 (* -1 wj))) |
(* (pow wj 2) (+ 1 (* -1 wj))) |
1 |
(+ 1 (* -1 wj)) |
(+ 1 (* -1 wj)) |
(+ 1 (* -1 wj)) |
-1 |
(- (* -1 wj) 1) |
(- (* -1 wj) 1) |
(- (* -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)))) |
(* -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 |
(- (* -2 wj) 1) |
(- (* wj (- (* -3/2 wj) 2)) 1) |
(- (* wj (- (* wj (- (* -2/3 wj) 3/2)) 2)) 1) |
x |
(+ x (* wj (- (* -1 (/ (- (* 4 (pow x 2)) (* -2 x)) x)) (* -1 (+ 2 (* 2 x)))))) |
(+ x (* wj (- (+ (* -1 (/ (- (* 4 (pow x 2)) (* -2 x)) x)) (* wj (- (* -1 (/ (- (+ (* 4 (- (* -2 x) (* 4 (pow x 2)))) (* 7 (pow x 2))) (* -2 x)) x)) (+ (* -1 (- (+ (* -4 x) (* 3/2 x)) 1)) (* -1 (/ (* (+ 2 (* 2 x)) (- (* -1 (/ (- (* 4 (pow x 2)) (* -2 x)) x)) (* -1 (+ 2 (* 2 x))))) x)))))) (* -1 (+ 2 (* 2 x)))))) |
(+ x (* wj (- (+ (* -1 (/ (- (* 4 (pow x 2)) (* -2 x)) x)) (* wj (- (+ (* -1 (/ (- (+ (* 4 (- (* -2 x) (* 4 (pow x 2)))) (* 7 (pow x 2))) (* -2 x)) x)) (* wj (- (* -1 (/ (- (+ (* 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)))) (+ 2 (* -1 x))) x)) (+ (* -1 (+ 1 (+ (* -3 x) (+ (* -2 (+ (* -4 x) (* 3/2 x))) (* 2/3 x))))) (+ (* -1 (/ (* (+ 2 (* 2 x)) (- (* -1 (/ (- (+ (* 4 (- (* -2 x) (* 4 (pow x 2)))) (* 7 (pow x 2))) (* -2 x)) x)) (+ (* -1 (- (+ (* -4 x) (* 3/2 x)) 1)) (* -1 (/ (* (+ 2 (* 2 x)) (- (* -1 (/ (- (* 4 (pow x 2)) (* -2 x)) x)) (* -1 (+ 2 (* 2 x))))) x))))) x)) (* -1 (/ (* (- (* -1 (/ (- (* 4 (pow x 2)) (* -2 x)) x)) (* -1 (+ 2 (* 2 x)))) (- (+ (* -4 x) (* 3/2 x)) 1)) x))))))) (+ (* -1 (- (+ (* -4 x) (* 3/2 x)) 1)) (* -1 (/ (* (+ 2 (* 2 x)) (- (* -1 (/ (- (* 4 (pow x 2)) (* -2 x)) x)) (* -1 (+ 2 (* 2 x))))) x)))))) (* -1 (+ 2 (* 2 x)))))) |
(* -1 (pow x 2)) |
(- (* wj (- (* 4 (pow x 2)) (* -2 x))) (pow x 2)) |
(- (* wj (- (+ (* 4 (pow x 2)) (* wj (- (+ (* 4 (- (* -2 x) (* 4 (pow x 2)))) (* 7 (pow x 2))) (* -2 x)))) (* -2 x))) (pow x 2)) |
(- (* wj (- (+ (* 4 (pow x 2)) (* wj (- (+ (* 4 (- (* -2 x) (* 4 (pow x 2)))) (+ (* 7 (pow x 2)) (* wj (- (+ (* 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)))) (+ 2 (* -1 x)))))) (* -2 x)))) (* -2 x))) (pow x 2)) |
(pow wj 2) |
(pow wj 2) |
(pow wj 2) |
(pow wj 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)) |
(* -1 x) |
(+ (* -1 x) (* 2 (* wj x))) |
(+ (* -1 x) (* wj (- (* -1 (* wj (+ (* -3/2 x) (* 4 x)))) (* -2 x)))) |
(+ (* -1 x) (* wj (- (* wj (- (* -1 (* wj (+ (* -2 (+ (* -3/2 x) (* 4 x))) (+ (* -2/3 x) (* 3 x))))) (+ (* -3/2 x) (* 4 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 (+ 2 (* 2 x))) x) |
(- (* wj (+ 2 (+ (* 2 x) (* wj (- (+ (* -4 x) (* 3/2 x)) 1))))) x) |
(- (* wj (+ 2 (+ (* 2 x) (* wj (- (+ (* -4 x) (+ (* 3/2 x) (* wj (+ 1 (+ (* -3 x) (+ (* -2 (+ (* -4 x) (* 3/2 x))) (* 2/3 x))))))) 1))))) 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))))) |
(* -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 (/ (+ 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))) |
(* -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 3)) |
(* (pow wj 3) (- (/ 1 wj) 1)) |
(* (pow wj 3) (- (/ 1 wj) 1)) |
(* (pow wj 3) (- (/ 1 wj) 1)) |
(* -1 wj) |
(* wj (- (/ 1 wj) 1)) |
(* wj (- (/ 1 wj) 1)) |
(* wj (- (/ 1 wj) 1)) |
(* -1 wj) |
(* -1 (* wj (+ 1 (/ 1 wj)))) |
(* -1 (* wj (+ 1 (/ 1 wj)))) |
(* -1 (* 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))) |
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))))) |
(* -1 (* wj (exp wj))) |
(* wj (+ (* -1 (exp wj)) (* -1 (/ (exp wj) wj)))) |
(* wj (+ (* -1 (exp wj)) (* -1 (/ (exp wj) wj)))) |
(* wj (+ (* -1 (exp wj)) (* -1 (/ (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 (+ (* -2 (/ x (exp wj))) (* 3 (/ x (exp wj))))) (pow wj 3)))) (+ (* -1 (/ (+ 1 (/ x (exp wj))) (pow wj 2))) (/ 1 wj)))) |
(pow wj 2) |
(* (pow wj 2) (- 1 (/ 1 (pow wj 2)))) |
(* (pow wj 2) (- (+ 1 (/ 2 (pow wj 3))) (+ (* -2 (/ x (* (pow wj 3) (exp wj)))) (/ 1 (pow wj 2))))) |
(* (pow wj 2) (- (+ 1 (+ (* 2 (/ (- (* -2 (/ x (exp wj))) 2) (pow wj 4))) (+ (/ 1 (pow wj 4)) (/ 2 (pow wj 3))))) (+ (* -2 (/ x (* (pow wj 3) (exp wj)))) (+ (/ 1 (pow wj 2)) (/ (pow x 2) (* (pow wj 4) (pow (exp wj) 2))))))) |
(pow wj 2) |
(pow wj 2) |
(pow wj 2) |
(pow wj 2) |
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))))))) |
(* -1 (/ x (* wj (exp wj)))) |
(/ (+ (* -1 (/ x (exp wj))) (/ x (* wj (exp wj)))) wj) |
(/ (+ (* -1 (/ x (exp wj))) (+ (* -1 (/ x (* (pow wj 2) (exp wj)))) (/ x (* wj (exp wj))))) wj) |
(/ (+ (* -1 (/ x (exp wj))) (+ (* -1 (/ x (* (pow wj 2) (exp wj)))) (+ (/ x (* wj (exp wj))) (/ x (* (pow wj 3) (exp wj)))))) 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 (/ (+ 1 (/ x (exp wj))) (pow wj 2))) (/ 1 wj)))) |
(* wj (- (+ 1 (+ (/ 1 wj) (+ (/ 1 (pow wj 3)) (/ x (* (pow wj 3) (exp wj)))))) (+ (/ 1 (pow wj 2)) (/ x (* (pow wj 2) (exp wj)))))) |
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)))))) |
(* -1 (* (pow wj 2) (+ 1 (+ (* 2/3 x) (* 2 x))))) |
(* (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)))) |
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wj |
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1 |
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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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(* -1 wj) |
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wj |
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wj |
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(* (pow wj 2) (- 1 (/ 1 (pow wj 2)))) |
(* (pow wj 2) (- (+ 1 (+ (* 2 (/ x (* (pow wj 3) (exp wj)))) (/ 2 (pow wj 3)))) (/ 1 (pow wj 2)))) |
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(pow wj 2) |
(pow wj 2) |
(pow wj 2) |
(pow wj 2) |
1 |
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1 |
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wj |
(* wj (+ 1 (/ 1 wj))) |
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(* (pow wj 2) (- 1 wj)) |
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(- wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) |
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(/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))) |
(+ (* -1 (/ x (+ (exp wj) (* wj (exp wj))))) (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) |
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(+ (* -1 (/ x (+ (exp wj) (* wj (exp wj))))) (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 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))) |
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(- 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))))) |
(/ (- (pow wj 2) (/ (* (pow wj 2) (pow (exp wj) 2)) (pow (+ (exp wj) (* wj (exp 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)))) (* -1 (/ (- (pow wj 2) (/ (* (pow wj 2) (pow (exp wj) 2)) (pow (+ (exp wj) (* wj (exp wj))) 2))) (* (pow (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) 2) (+ (exp wj) (* wj (exp wj)))))))) (/ (pow wj 2) (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))))) (/ (* (pow wj 2) (pow (exp wj) 2)) (* (+ 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)))) (* -1 (/ (- (pow wj 2) (/ (* (pow wj 2) (pow (exp wj) 2)) (pow (+ (exp wj) (* wj (exp wj))) 2))) (* (pow (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) 2) (+ (exp wj) (* wj (exp wj))))))) (* (+ 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))))) (* -1 (/ (- (pow wj 2) (/ (* (pow wj 2) (pow (exp wj) 2)) (pow (+ (exp wj) (* wj (exp wj))) 2))) (* (pow (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) 2) (+ (exp wj) (* wj (exp wj)))))))) (/ (pow wj 2) (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))))) (/ (* (pow wj 2) (pow (exp wj) 2)) (* (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) (pow (+ (exp wj) (* wj (exp wj))) 2)))) |
(- (+ (* 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)))) (* -1 (/ (- (pow wj 2) (/ (* (pow wj 2) (pow (exp wj) 2)) (pow (+ (exp wj) (* wj (exp wj))) 2))) (* (pow (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) 2) (+ (exp wj) (* wj (exp wj))))))) (* (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)))) (* -1 (/ (- (pow wj 2) (/ (* (pow wj 2) (pow (exp wj) 2)) (pow (+ (exp wj) (* wj (exp wj))) 2))) (* (pow (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) 2) (+ (exp wj) (* wj (exp wj))))))) (* (+ 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))))))) (* -1 (/ (- (pow wj 2) (/ (* (pow wj 2) (pow (exp wj) 2)) (pow (+ (exp wj) (* wj (exp wj))) 2))) (* (pow (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) 2) (+ (exp wj) (* wj (exp wj)))))))) (/ (pow wj 2) (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))))) (/ (* (pow wj 2) (pow (exp wj) 2)) (* (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) (pow (+ (exp wj) (* wj (exp wj))) 2)))) |
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(- (+ (* x (- (* -1 (/ x (pow (+ (exp wj) (* wj (exp wj))) 2))) (* -2 (/ (* wj (exp wj)) (pow (+ (exp wj) (* wj (exp wj))) 2))))) (pow wj 2)) (/ (* (pow wj 2) (pow (exp wj) 2)) (pow (+ (exp wj) (* wj (exp wj))) 2))) |
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(/ (* (pow wj 2) (pow (exp wj) 2)) (pow (+ (exp wj) (* wj (exp wj))) 2)) |
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(/ x (* (exp wj) (- (* -1 wj) 1))) |
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(/ x (* (exp wj) (- (* -1 wj) 1))) |
(/ x (* (exp wj) (- (* -1 wj) 1))) |
(/ (* wj (exp wj)) (+ (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)))) |
(* 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 (- (+ (/ 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 (+ (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))) (- (pow wj 2) (/ (* (pow wj 2) (pow (exp wj) 2)) (pow (+ (exp wj) (* wj (exp wj))) 2)))) (pow x 2))) (/ 1 (+ (exp wj) (* wj (exp wj)))))) (+ (* -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))) (- (pow wj 2) (/ (* (pow wj 2) (pow (exp wj) 2)) (pow (+ (exp wj) (* wj (exp wj))) 2)))) (pow x 2))) (+ (/ 1 (+ (exp wj) (* wj (exp wj)))) (/ (* (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) (* (+ (exp wj) (* wj (exp wj))) (- (* -1 (* (+ (exp wj) (* wj (exp wj))) (- (pow wj 2) (/ (* (pow wj 2) (pow (exp wj) 2)) (pow (+ (exp wj) (* wj (exp 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))))) (+ (* -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))))) |
(* -1 (/ (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) (- (/ (pow 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) (- (/ (pow 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) (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)))))) |
(/ x (* (exp wj) (- (* -1 wj) 1))) |
(/ x (* (exp wj) (- (* -1 wj) 1))) |
(/ x (* (exp wj) (- (* -1 wj) 1))) |
(/ x (* (exp wj) (- (* -1 wj) 1))) |
(* -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 (+ (exp wj) (* wj (exp wj))))) |
(* x (- (+ (/ wj x) (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj)))))) |
(* x (- (+ (/ wj x) (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj)))))) |
(* x (- (+ (/ wj x) (/ (* 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 (- (* 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))) |
(* -1 (* x (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))))) |
(* -1 (* x (+ 2 (+ (* -1 (* wj (+ 5/2 (* -8/3 wj)))) (* -1 (/ (* wj (- 1 wj)) x)))))) |
(* -1 (* x (+ 2 (+ (* -1 (* wj (+ 5/2 (* -8/3 wj)))) (* -1 (/ (* wj (- 1 wj)) x)))))) |
(* -1 (* x (+ 2 (+ (* -1 (* wj (+ 5/2 (* -8/3 wj)))) (* -1 (/ (* 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))))) |
(/ 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 (/ (* 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))))))) |
(/ x (+ (exp wj) (* wj (exp wj)))) |
(* -1 (* x (- (* -1 (/ (- (* -2 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) (* -1 (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -2 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) (* -1 (/ (- (* (+ (exp wj) (* wj (exp wj))) (- (pow wj 2) (/ (* (pow wj 2) (pow (exp wj) 2)) (pow (+ (exp wj) (* wj (exp wj))) 2)))) (* (+ 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)))))))))) x))) (* -1 (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -2 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) (* -1 (/ (- (+ (* (+ (exp wj) (* wj (exp wj))) (- (pow wj 2) (/ (* (pow wj 2) (pow (exp wj) 2)) (pow (+ (exp wj) (* wj (exp wj))) 2)))) (/ (* (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) (* (+ (exp wj) (* wj (exp wj))) (- (* (+ (exp wj) (* wj (exp wj))) (- (pow wj 2) (/ (* (pow wj 2) (pow (exp wj) 2)) (pow (+ (exp wj) (* wj (exp wj))) 2)))) (* (+ 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)))))))))))) x)) (* (+ 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)))))))))) x))) (* -1 (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(* -1 (/ (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 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)) (/ 1 (pow (+ (exp wj) (* wj (exp wj))) 2)))) |
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- (pow 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)) (/ 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)))) |
(/ x (* (exp wj) (- (* -1 wj) 1))) |
(/ x (* (exp wj) (- (* -1 wj) 1))) |
(/ x (* (exp wj) (- (* -1 wj) 1))) |
(/ x (* (exp wj) (- (* -1 wj) 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))))))) |
(* -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))))))) |
| Outputs |
|---|
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 #s(literal -2 binary64) x (fma.f64 (*.f64 wj x) #s(literal 5/2 binary64) wj)) 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 (fma.f64 (fma.f64 #s(literal -3 binary64) x (fma.f64 #s(literal 2/3 binary64) x (*.f64 (*.f64 #s(literal -5/2 binary64) x) #s(literal -2 binary64)))) #s(literal -1 binary64) #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 wj #s(literal -2 binary64) #s(literal 1 binary64)) x) |
(+ x (* wj (+ (* -2 x) (* wj (+ 1 (* 5/2 x)))))) |
(fma.f64 (fma.f64 #s(literal -2 binary64) x (fma.f64 (*.f64 wj x) #s(literal 5/2 binary64) wj)) 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 (neg.f64 x) #s(literal 8/3 binary64) #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) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(+ (* -2 x) (* wj (+ 1 (* 5/2 x)))) |
(fma.f64 #s(literal -2 binary64) x (fma.f64 (*.f64 wj x) #s(literal 5/2 binary64) wj)) |
(+ (* -2 x) (* wj (+ 1 (+ (* -1 (* wj (+ 1 (+ (* 2/3 x) (* 2 x))))) (* 5/2 x))))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 x) #s(literal 8/3 binary64) #s(literal -1 binary64)) wj (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 (fma.f64 (fma.f64 (neg.f64 x) #s(literal 8/3 binary64) #s(literal -1 binary64)) wj (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64))) wj (*.f64 #s(literal -2 binary64) x)) |
(+ 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))) |
(fma.f64 (fma.f64 (neg.f64 x) #s(literal 8/3 binary64) #s(literal -1 binary64)) wj (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64))) |
(+ 1 (+ (* -1 (* wj (+ 1 (+ (* 2/3 x) (* 2 x))))) (* 5/2 x))) |
(fma.f64 (fma.f64 (neg.f64 x) #s(literal 8/3 binary64) #s(literal -1 binary64)) wj (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64))) |
(+ 1 (+ (* -1 (* wj (+ 1 (+ (* 2/3 x) (* 2 x))))) (* 5/2 x))) |
(fma.f64 (fma.f64 (neg.f64 x) #s(literal 8/3 binary64) #s(literal -1 binary64)) wj (fma.f64 #s(literal 5/2 binary64) x #s(literal 1 binary64))) |
x |
(+ x (* -2 (* wj x))) |
(*.f64 (fma.f64 wj #s(literal -2 binary64) #s(literal 1 binary64)) x) |
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(*.f64 x x) |
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#s(literal 1 binary64) |
(- (+ 1 (* -1 (/ x (* wj (exp wj))))) (/ 1 wj)) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (exp.f64 wj) wj))) (/.f64 #s(literal 1 binary64) wj)) |
(- (+ 1 (+ (* -1 (/ x (* wj (exp wj)))) (/ 1 (pow wj 2)))) (+ (* -1 (/ x (* (pow wj 2) (exp wj)))) (/ 1 wj))) |
(-.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 wj wj)) (/.f64 x (*.f64 (exp.f64 wj) wj))) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) wj) (/.f64 (/.f64 x (*.f64 wj wj)) (exp.f64 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))))) |
(-.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 wj wj)) (/.f64 (/.f64 x (pow.f64 wj #s(literal 3 binary64))) (exp.f64 wj))) (-.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (exp.f64 wj) wj)))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 wj #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) wj) (/.f64 (/.f64 x (*.f64 wj wj)) (exp.f64 wj))))) |
wj |
(* wj (+ 1 (/ 1 wj))) |
(+.f64 #s(literal 1 binary64) wj) |
(* wj (+ 1 (+ (* -1 (/ (+ 1 (/ x (exp wj))) (pow wj 2))) (/ 1 wj)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 x (exp.f64 wj)) #s(literal 1 binary64)) (*.f64 wj wj))) wj #s(literal 1 binary64)) |
(* wj (- (+ 1 (+ (/ 1 wj) (+ (/ 1 (pow wj 3)) (/ x (* (pow wj 3) (exp wj)))))) (+ (/ 1 (pow wj 2)) (/ x (* (pow wj 2) (exp wj)))))) |
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wj |
(* -1 (* wj (- (/ 1 wj) 1))) |
(neg.f64 (-.f64 #s(literal 1 binary64) wj)) |
(* -1 (* wj (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ x (exp wj))) 1) wj)) 1) wj)) 1))) |
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(* -1 (* (pow wj 3) (+ 1 (+ (* 2/3 x) (* 2 x))))) |
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(* -1 (* (pow wj 3) (+ 1 (+ (* -1 (/ (+ 1 (* 5/2 x)) wj)) (+ (* 2/3 x) (* 2 x)))))) |
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(* -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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(* -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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(*.f64 (+.f64 (fma.f64 x #s(literal 8/3 binary64) (/.f64 (fma.f64 #s(literal -5/2 binary64) x #s(literal -1 binary64)) wj)) #s(literal 1 binary64)) (neg.f64 wj)) |
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wj |
(* -1 (* wj (- (/ 1 wj) 1))) |
(neg.f64 (-.f64 #s(literal 1 binary64) wj)) |
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1 |
#s(literal 1 binary64) |
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wj |
(* -1 (* wj (- (/ 1 wj) 1))) |
(neg.f64 (-.f64 #s(literal 1 binary64) wj)) |
(* -1 (* wj (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ x (exp wj))) 1) wj)) 1) wj)) 1))) |
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(* -1 (* wj (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ x (exp wj))) (+ (/ 1 wj) (/ x (* wj (exp wj))))) 1) wj)) 1) wj)) 1))) |
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(* -1 (* (pow wj 3) (+ 1 (+ (* 2/3 x) (* 2 x))))) |
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(* -1 (* (pow wj 3) (+ 1 (+ (* -1 (/ (+ 1 (* 5/2 x)) wj)) (+ (* 2/3 x) (* 2 x)))))) |
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(* -1 (* (pow wj 3) (+ 1 (+ (* -1 (/ (+ 1 (+ (* -2 (/ x wj)) (* 5/2 x))) wj)) (+ (* 2/3 x) (* 2 x)))))) |
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(* -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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(* -1 (pow wj 3)) |
(neg.f64 (pow.f64 wj #s(literal 3 binary64))) |
(* -1 (* (pow wj 3) (- 1 (/ 1 wj)))) |
(*.f64 (neg.f64 (pow.f64 wj #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) wj))) |
(* -1 (* (pow wj 3) (- 1 (/ 1 wj)))) |
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(*.f64 (neg.f64 (pow.f64 wj #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) wj))) |
(* -1 wj) |
(neg.f64 wj) |
(* -1 (* wj (- 1 (/ 1 wj)))) |
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(* -1 (* wj (- 1 (/ 1 wj)))) |
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(* -1 (* wj (- 1 (/ 1 wj)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) wj)) (neg.f64 wj)) |
(* -1 wj) |
(neg.f64 wj) |
(* -1 (* wj (+ 1 (/ 1 wj)))) |
(fma.f64 #s(literal -1 binary64) wj #s(literal -1 binary64)) |
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wj |
(* -1 (* wj (- (/ 1 wj) 1))) |
(neg.f64 (-.f64 #s(literal 1 binary64) wj)) |
(* -1 (* wj (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ x (exp wj))) 1) wj)) 1) wj)) 1))) |
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1 |
#s(literal 1 binary64) |
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(* -1 (* wj (exp wj))) |
(*.f64 (exp.f64 wj) (neg.f64 wj)) |
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(*.f64 (+.f64 (/.f64 (exp.f64 wj) wj) (exp.f64 wj)) (neg.f64 wj)) |
wj |
(* -1 (* wj (- (/ 1 wj) 1))) |
(neg.f64 (-.f64 #s(literal 1 binary64) wj)) |
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(pow wj 2) |
(*.f64 wj wj) |
(* (pow wj 2) (- 1 (/ 1 (pow wj 2)))) |
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(* (pow wj 2) (- (+ 1 (* -1 (/ (- (* -1 (/ (- (+ 1 (* -2 (+ 2 (* 2 (/ x (exp wj)))))) (/ (pow x 2) (pow (exp wj) 2))) wj)) (+ 2 (* 2 (/ x (exp wj))))) (pow wj 3)))) (/ 1 (pow wj 2)))) |
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(pow wj 2) |
(*.f64 wj wj) |
(pow wj 2) |
(*.f64 wj wj) |
(pow wj 2) |
(*.f64 wj wj) |
(pow wj 2) |
(*.f64 wj wj) |
1 |
#s(literal 1 binary64) |
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(* -1 (/ x (* wj (exp wj)))) |
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(* -1 (* x (- (* -1 (/ (- (* -2 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) (* -1 (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) wj)) (/.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj)) (fma.f64 (/.f64 (exp.f64 wj) (+.f64 #s(literal 1 binary64) wj)) (/.f64 wj (exp.f64 wj)) 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 (/ (- (+ (* -2 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) (* -1 (/ (- (* (+ (exp wj) (* wj (exp wj))) (- (pow wj 2) (/ (* (pow wj 2) (pow (exp wj) 2)) (pow (+ (exp wj) (* wj (exp wj))) 2)))) (* (+ 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)))))))))) x))) (* -1 (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(*.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 (-.f64 (*.f64 wj wj) (/.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))))) (fma.f64 (exp.f64 wj) wj (exp.f64 wj)) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) wj)) (/.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj)) (fma.f64 (/.f64 (exp.f64 wj) (+.f64 #s(literal 1 binary64) wj)) (/.f64 wj (exp.f64 wj)) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) (fma.f64 (/.f64 (exp.f64 wj) (+.f64 #s(literal 1 binary64) wj)) (/.f64 wj (exp.f64 wj)) wj))) x) (fma.f64 (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) wj)) (/.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj)) (fma.f64 (/.f64 (exp.f64 wj) (+.f64 #s(literal 1 binary64) wj)) (/.f64 wj (exp.f64 wj)) 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 (/ (- (+ (* -2 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) (* -1 (/ (- (+ (* (+ (exp wj) (* wj (exp wj))) (- (pow wj 2) (/ (* (pow wj 2) (pow (exp wj) 2)) (pow (+ (exp wj) (* wj (exp wj))) 2)))) (/ (* (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) (* (+ (exp wj) (* wj (exp wj))) (- (* (+ (exp wj) (* wj (exp wj))) (- (pow wj 2) (/ (* (pow wj 2) (pow (exp wj) 2)) (pow (+ (exp wj) (* wj (exp wj))) 2)))) (* (+ 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)))))))))))) x)) (* (+ 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)))))))))) x))) (* -1 (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 wj wj) (/.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 #s(literal 1 binary64) wj)) (exp.f64 wj) (*.f64 (fma.f64 (/.f64 (exp.f64 wj) (+.f64 #s(literal 1 binary64) wj)) (/.f64 wj (exp.f64 wj)) wj) (-.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (-.f64 (*.f64 wj wj) (/.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 #s(literal 1 binary64) wj)) (exp.f64 wj) (*.f64 (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) wj)) (/.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj)) (fma.f64 (/.f64 (exp.f64 wj) (+.f64 #s(literal 1 binary64) wj)) (/.f64 wj (exp.f64 wj)) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) (neg.f64 (fma.f64 (/.f64 (exp.f64 wj) (+.f64 #s(literal 1 binary64) wj)) (/.f64 wj (exp.f64 wj)) wj)))) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) x) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) wj)) (/.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj)) (fma.f64 (/.f64 (exp.f64 wj) (+.f64 #s(literal 1 binary64) wj)) (/.f64 wj (exp.f64 wj)) wj)) (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))))) x) #s(literal -1 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) wj)) (/.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj)) (fma.f64 (/.f64 (exp.f64 wj) (+.f64 #s(literal 1 binary64) wj)) (/.f64 wj (exp.f64 wj)) wj))) x) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (exp.f64 wj) wj (exp.f64 wj)))) (neg.f64 x)) |
(* -1 (/ (pow x 2) (pow (+ (exp wj) (* wj (exp wj))) 2))) |
(/.f64 (*.f64 (neg.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) x) (/.f64 (*.f64 (exp.f64 wj) wj) (pow.f64 (fma.f64 (exp.f64 wj) wj (exp.f64 wj)) #s(literal 2 binary64))) (/.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 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)) (/ 1 (pow (+ (exp wj) (* wj (exp wj))) 2)))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 wj wj) (/.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)))) x) #s(literal -1 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) #s(literal -1 binary64) (/.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 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)) (/ 1 (pow (+ (exp wj) (* wj (exp wj))) 2)))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 wj wj) (/.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)))) x) #s(literal -1 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) #s(literal -1 binary64) (/.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) (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)) |
(/ x (* (exp wj) (- (* -1 wj) 1))) |
(/.f64 (/.f64 x (exp.f64 wj)) (fma.f64 #s(literal -1 binary64) wj #s(literal -1 binary64))) |
(/ x (* (exp wj) (- (* -1 wj) 1))) |
(/.f64 (/.f64 x (exp.f64 wj)) (fma.f64 #s(literal -1 binary64) wj #s(literal -1 binary64))) |
(/ x (* (exp wj) (- (* -1 wj) 1))) |
(/.f64 (/.f64 x (exp.f64 wj)) (fma.f64 #s(literal -1 binary64) wj #s(literal -1 binary64))) |
(/ x (* (exp wj) (- (* -1 wj) 1))) |
(/.f64 (/.f64 x (exp.f64 wj)) (fma.f64 #s(literal -1 binary64) wj #s(literal -1 binary64))) |
(* -1 (/ x (+ (exp wj) (* wj (exp wj))))) |
(/.f64 (/.f64 x (exp.f64 wj)) (fma.f64 #s(literal -1 binary64) wj #s(literal -1 binary64))) |
(* -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 wj (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) (/.f64 (exp.f64 wj) x))) (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 wj (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) (/.f64 (exp.f64 wj) x))) (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 wj (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) (/.f64 (exp.f64 wj) x))) (neg.f64 x)) |
(* -1 (/ x (+ (exp wj) (* wj (exp wj))))) |
(/.f64 (/.f64 x (exp.f64 wj)) (fma.f64 #s(literal -1 binary64) wj #s(literal -1 binary64))) |
(* -1 (* x (+ (* -1 (/ (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) (/.f64 (fma.f64 (/.f64 (exp.f64 wj) (+.f64 #s(literal 1 binary64) wj)) (/.f64 wj (exp.f64 wj)) wj) x)) (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 #s(literal 1 binary64) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) (/.f64 (fma.f64 (/.f64 (exp.f64 wj) (+.f64 #s(literal 1 binary64) wj)) (/.f64 wj (exp.f64 wj)) wj) x)) (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 #s(literal 1 binary64) (fma.f64 (exp.f64 wj) wj (exp.f64 wj))) (/.f64 (fma.f64 (/.f64 (exp.f64 wj) (+.f64 #s(literal 1 binary64) wj)) (/.f64 wj (exp.f64 wj)) wj) x)) (neg.f64 x)) |
| 4 338× | lower-fma.f32 |
| 4 332× | lower-fma.f64 |
| 4 224× | lower-*.f32 |
| 4 216× | lower-*.f64 |
| 3 906× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 469 |
| 0 | 76 | 457 |
| 1 | 362 | 428 |
| 2 | 3117 | 428 |
| 0 | 8506 | 409 |
| 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 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) |
#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 #s(literal 1 binary64) wj) (*.f64 wj wj)))) |
#s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) (*.f64 (-.f64 #s(literal 1 binary64) wj) (*.f64 wj wj))) |
(*.f64 (-.f64 #s(literal 1 binary64) wj) (*.f64 wj wj)) |
(-.f64 #s(literal 1 binary64) wj) |
(fma.f64 #s(literal -1 binary64) wj #s(literal -1 binary64)) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 (fma.f64 #s(literal -1 binary64) wj #s(literal -1 binary64)) (exp.f64 wj))))) |
#s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 (fma.f64 #s(literal -1 binary64) wj #s(literal -1 binary64)) (exp.f64 wj)))) |
(*.f64 (fma.f64 #s(literal -1 binary64) wj #s(literal -1 binary64)) (exp.f64 wj)) |
(/.f64 (-.f64 (*.f64 wj wj) (pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) #s(literal 2 binary64))) (+.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) wj)) |
(-.f64 (*.f64 wj wj) (pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) #s(literal 2 binary64))) |
(*.f64 wj wj) |
(pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) #s(literal 2 binary64)) |
(/.f64 x (*.f64 (fma.f64 #s(literal -1 binary64) wj #s(literal -1 binary64)) (exp.f64 wj))) |
#s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) |
(+.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 wj #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 (-.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 (*.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 x #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)) |
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(*.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))))) |
(pow.f64 (pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) #s(literal 2 binary64)) |
(exp.f64 (*.f64 (*.f64 (log.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) wj) #s(literal -1 binary64)) (pow.f64 (/.f64 (exp.f64 wj) x) #s(literal -1 binary64))) |
(*.f64 (exp.f64 (neg.f64 wj)) (/.f64 x (-.f64 #s(literal -1 binary64) wj))) |
(*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) wj)) (exp.f64 (neg.f64 wj))) |
(*.f64 (/.f64 (exp.f64 (neg.f64 wj)) (-.f64 #s(literal -1 binary64) wj)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (exp.f64 (neg.f64 wj)) (-.f64 #s(literal -1 binary64) wj)) x) |
(*.f64 #s(literal -1 binary64) (/.f64 x (*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) wj)) (exp.f64 wj)))) |
(*.f64 (neg.f64 x) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) wj) #s(literal -1 binary64)) (exp.f64 wj))) |
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (exp.f64 wj)) (-.f64 #s(literal -1 binary64) wj))) |
(*.f64 x (/.f64 (exp.f64 (neg.f64 wj)) (-.f64 #s(literal -1 binary64) wj))) |
(pow.f64 (/.f64 (exp.f64 wj) (/.f64 x (-.f64 #s(literal -1 binary64) wj))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (exp.f64 wj) (/.f64 (-.f64 #s(literal -1 binary64) wj) x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (exp.f64 wj) (/.f64 (-.f64 #s(literal -1 binary64) wj) x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 x (exp.f64 wj))) (neg.f64 (-.f64 #s(literal -1 binary64) wj))) |
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) wj)) (exp.f64 wj))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 x (-.f64 #s(literal -1 binary64) wj)))) (neg.f64 (neg.f64 (exp.f64 wj)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) wj)) (exp.f64 wj))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) wj)) (exp.f64 wj))) (*.f64 (*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) wj)) (exp.f64 wj)) x)) (*.f64 (*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) wj)) (exp.f64 wj)) (*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) wj)) (exp.f64 wj)))) |
(/.f64 (/.f64 x (exp.f64 wj)) (-.f64 #s(literal -1 binary64) wj)) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 (exp.f64 wj) (-.f64 #s(literal -1 binary64) wj))) |
(/.f64 (neg.f64 (/.f64 x (-.f64 #s(literal -1 binary64) wj))) (neg.f64 (exp.f64 wj))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) wj)) (exp.f64 wj)))) |
(/.f64 (/.f64 x (-.f64 #s(literal -1 binary64) wj)) (exp.f64 wj)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (exp.f64 wj) (/.f64 x (-.f64 #s(literal -1 binary64) wj))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (exp.f64 wj) (/.f64 (-.f64 #s(literal -1 binary64) wj) x)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (exp.f64 wj) (/.f64 (-.f64 #s(literal -1 binary64) wj) x)))) |
(/.f64 (neg.f64 x) (*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) wj)) (exp.f64 wj))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (exp.f64 wj) (/.f64 (-.f64 #s(literal -1 binary64) wj) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 wj) (/.f64 x (-.f64 #s(literal -1 binary64) wj)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (exp.f64 wj) (/.f64 (-.f64 #s(literal -1 binary64) wj) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 wj) (/.f64 (-.f64 #s(literal -1 binary64) wj) x))) |
(/.f64 x (*.f64 (exp.f64 wj) (-.f64 #s(literal -1 binary64) wj))) |
(neg.f64 (/.f64 x (*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) wj)) (exp.f64 wj)))) |
(neg.f64 (/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) wj)) (exp.f64 wj))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) wj)) (exp.f64 wj))) (/.f64 x (*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) wj)) (exp.f64 wj)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (exp.f64 wj) (/.f64 (-.f64 #s(literal -1 binary64) wj) x))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))) (sqrt.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))))) |
(pow.f64 (sqrt.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) #s(literal 1 binary64)) |
#s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) |
(exp.f64 (log.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))))) |
(*.f64 (-.f64 (pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) #s(literal 2 binary64)) (*.f64 wj wj)) (pow.f64 (-.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) wj) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 wj #s(literal 3 binary64)) (pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) #s(literal 3 binary64))) (pow.f64 (fma.f64 wj (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))) (pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) wj) (-.f64 (pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) #s(literal 2 binary64)) (*.f64 wj wj))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 wj (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))) (pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) #s(literal 2 binary64))) (+.f64 (pow.f64 wj #s(literal 3 binary64)) (pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) #s(literal 2 binary64)) (*.f64 wj wj)))) (neg.f64 (neg.f64 (-.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) wj)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 wj #s(literal 3 binary64)) (pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 wj (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))) (pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) #s(literal 2 binary64)) (-.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) wj)) (*.f64 (-.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) wj) (*.f64 wj wj))) (*.f64 (-.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) wj) (-.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) wj))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) #s(literal 2 binary64)) (*.f64 wj wj))) (neg.f64 (-.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) wj))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 wj #s(literal 3 binary64)) (pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 wj wj (-.f64 (pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) #s(literal 2 binary64)) (*.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) wj))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 wj #s(literal 3 binary64)) (pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 wj (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))) (pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) #s(literal 2 binary64)) (*.f64 wj wj)) (-.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) wj)) |
(/.f64 (+.f64 (pow.f64 wj #s(literal 3 binary64)) (pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) #s(literal 3 binary64))) (fma.f64 wj wj (-.f64 (pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) #s(literal 2 binary64)) (*.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) wj)))) |
(/.f64 (+.f64 (pow.f64 wj #s(literal 3 binary64)) (pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) #s(literal 3 binary64))) (fma.f64 wj (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))) (pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 wj wj) (pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) #s(literal 2 binary64)))) (neg.f64 (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))))) |
(/.f64 (-.f64 (*.f64 wj wj) (pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) #s(literal 2 binary64))) (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) wj) (-.f64 (pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) #s(literal 2 binary64)) (*.f64 wj wj))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 wj (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))) (pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) #s(literal 2 binary64))) (+.f64 (pow.f64 wj #s(literal 3 binary64)) (pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) wj) (-.f64 (pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) #s(literal 2 binary64)) (*.f64 wj wj)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 wj (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))) (pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) #s(literal 2 binary64))) (+.f64 (pow.f64 wj #s(literal 3 binary64)) (pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) #s(literal 3 binary64))))) |
(fma.f64 (pow.f64 (sqrt.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))) #s(literal 1 binary64)) wj) |
(fma.f64 (pow.f64 (neg.f64 wj) #s(literal 1 binary64)) #s(literal -1 binary64) #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))) |
(fma.f64 (sqrt.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))) (sqrt.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))) wj) |
(fma.f64 (neg.f64 wj) #s(literal -1 binary64) #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))) |
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 wj) #s(literal 1 binary64)) #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 wj) #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))) |
(fma.f64 #s(literal 1 binary64) wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))) |
(fma.f64 wj #s(literal 1 binary64) #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))) |
(-.f64 (/.f64 (pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) #s(literal 2 binary64)) (-.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) wj)) (/.f64 (*.f64 wj wj) (-.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) wj))) |
(+.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) wj) |
(+.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))) |
Compiled 25 726 to 2 869 computations (88.8% saved)
20 alts after pruning (17 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 975 | 11 | 986 |
| Fresh | 4 | 6 | 10 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 2 | 2 |
| Total | 983 | 20 | 1 003 |
| Status | Accuracy | Program |
|---|---|---|
| 78.6% | (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(approx (exp wj) (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 (exp.f64 wj))) (-.f64 (*.f64 (exp.f64 wj) wj) x) wj) | |
| 79.4% | (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 wj #s(literal 1 binary64))) (/.f64 (-.f64 (*.f64 (exp.f64 wj) wj) x) (exp.f64 wj)) wj) | |
| 6.8% | (/.f64 (fma.f64 (neg.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))) #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) (*.f64 wj wj)) (+.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) wj)) | |
| 5.2% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) wj) (pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) #s(literal 2 binary64)))) (*.f64 (/.f64 (+.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) wj) (*.f64 wj wj)) #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) wj) (*.f64 wj wj)) (/.f64 (+.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) wj) (pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) #s(literal 2 binary64))))) | |
| ▶ | 4.9% | (/.f64 #s(approx (- (* wj wj) (pow (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) 2)) (*.f64 wj wj)) (+.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) wj)) |
| ▶ | 80.5% | (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (fma.f64 (/.f64 wj (+.f64 wj #s(literal 1 binary64))) #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 wj #s(literal 1 binary64))) (neg.f64 (exp.f64 wj)))))) |
| 4.8% | (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 #s(approx (+ (* -1 wj) -1) (neg.f64 wj)) (exp.f64 wj))))) | |
| ▶ | 73.5% | (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x #s(approx (* (+ (* -1 wj) -1) (exp wj)) (fma.f64 wj #s(literal -2 binary64) #s(literal -1 binary64)))))) |
| ✓ | 6.5% | (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))) |
| 6.5% | (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 wj #s(literal 1 binary64)) wj)))) | |
| ✓ | 72.9% | (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x))) |
| 4.7% | (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(approx (/ wj (+ 1 wj)) (*.f64 (-.f64 #s(literal 1 binary64) wj) wj)))) | |
| ✓ | 4.1% | (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64))) |
| 87.8% | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (*.f64 wj x) #s(literal -2 binary64) x)) | |
| 88.1% | #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)) | |
| ▶ | 96.5% | #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)) |
| 11.0% | #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) (fma.f64 wj wj (pow.f64 wj #s(literal 3 binary64))))) | |
| 11.5% | #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 (fma.f64 wj wj #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) wj)) (*.f64 wj wj)))) | |
| 11.5% | #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))) | |
| ▶ | 11.0% | #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) #s(approx (* (- 1 wj) (* wj wj)) (*.f64 wj wj)))) |
Compiled 561 to 357 computations (36.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (fma.f64 (/.f64 wj (+.f64 wj #s(literal 1 binary64))) #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 wj #s(literal 1 binary64))) (neg.f64 (exp.f64 wj))))) | |
| cost-diff | 0 | (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (fma.f64 (/.f64 wj (+.f64 wj #s(literal 1 binary64))) #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 wj #s(literal 1 binary64))) (neg.f64 (exp.f64 wj)))))) | |
| cost-diff | 128 | (/.f64 (/.f64 x (+.f64 wj #s(literal 1 binary64))) (neg.f64 (exp.f64 wj))) | |
| cost-diff | 1088 | (fma.f64 (/.f64 wj (+.f64 wj #s(literal 1 binary64))) #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 wj #s(literal 1 binary64))) (neg.f64 (exp.f64 wj)))) | |
| cost-diff | 0 | (+.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) wj) | |
| cost-diff | 0 | (*.f64 wj wj) | |
| cost-diff | 0 | #s(approx (- (* wj wj) (pow (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) 2)) (*.f64 wj wj)) | |
| cost-diff | 0 | (/.f64 #s(approx (- (* wj wj) (pow (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) 2)) (*.f64 wj wj)) (+.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) wj)) | |
| cost-diff | 0 | #s(approx (* (+ (* -1 wj) -1) (exp wj)) (fma.f64 wj #s(literal -2 binary64) #s(literal -1 binary64))) | |
| cost-diff | 0 | (/.f64 x #s(approx (* (+ (* -1 wj) -1) (exp wj)) (fma.f64 wj #s(literal -2 binary64) #s(literal -1 binary64)))) | |
| cost-diff | 0 | #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x #s(approx (* (+ (* -1 wj) -1) (exp wj)) (fma.f64 wj #s(literal -2 binary64) #s(literal -1 binary64))))) | |
| cost-diff | 0 | (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x #s(approx (* (+ (* -1 wj) -1) (exp wj)) (fma.f64 wj #s(literal -2 binary64) #s(literal -1 binary64)))))) | |
| cost-diff | 0 | (*.f64 wj wj) | |
| cost-diff | 0 | #s(approx (* (- 1 wj) (* wj wj)) (*.f64 wj wj)) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) #s(approx (* (- 1 wj) (* wj wj)) (*.f64 wj wj))) | |
| 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) #s(approx (* (- 1 wj) (* wj wj)) (*.f64 wj wj)))) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) wj) wj) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) (*.f64 (-.f64 #s(literal 1 binary64) wj) wj)) | |
| cost-diff | 0 | (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) | |
| cost-diff | 0 | #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)) |
| 10 684× | lower-fma.f32 |
| 10 678× | lower-fma.f64 |
| 3 616× | lower-*.f32 |
| 3 612× | lower-*.f64 |
| 2 344× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 565 |
| 0 | 83 | 547 |
| 1 | 149 | 520 |
| 2 | 315 | 516 |
| 3 | 1073 | 474 |
| 4 | 4001 | 464 |
| 0 | 8104 | 452 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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)) |
(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 (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) (*.f64 (-.f64 #s(literal 1 binary64) wj) wj)) |
(*.f64 (-.f64 #s(literal 1 binary64) wj) wj) |
(-.f64 #s(literal 1 binary64) wj) |
#s(literal 1 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) #s(approx (* (- 1 wj) (* wj wj)) (*.f64 wj wj)))) |
#s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) #s(approx (* (- 1 wj) (* wj wj)) (*.f64 wj wj))) |
#s(approx (* (- 1 wj) (* wj wj)) (*.f64 wj wj)) |
(*.f64 wj wj) |
wj |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x #s(approx (* (+ (* -1 wj) -1) (exp wj)) (fma.f64 wj #s(literal -2 binary64) #s(literal -1 binary64)))))) |
wj |
#s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x #s(approx (* (+ (* -1 wj) -1) (exp wj)) (fma.f64 wj #s(literal -2 binary64) #s(literal -1 binary64))))) |
(/.f64 x #s(approx (* (+ (* -1 wj) -1) (exp wj)) (fma.f64 wj #s(literal -2 binary64) #s(literal -1 binary64)))) |
x |
#s(approx (* (+ (* -1 wj) -1) (exp wj)) (fma.f64 wj #s(literal -2 binary64) #s(literal -1 binary64))) |
(fma.f64 wj #s(literal -2 binary64) #s(literal -1 binary64)) |
#s(literal -2 binary64) |
#s(literal -1 binary64) |
(/.f64 #s(approx (- (* wj wj) (pow (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) 2)) (*.f64 wj wj)) (+.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) wj)) |
#s(approx (- (* wj wj) (pow (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) 2)) (*.f64 wj wj)) |
(*.f64 wj wj) |
wj |
(+.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) wj) |
#s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) |
(/.f64 wj (+.f64 wj #s(literal 1 binary64))) |
(+.f64 wj #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (fma.f64 (/.f64 wj (+.f64 wj #s(literal 1 binary64))) #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 wj #s(literal 1 binary64))) (neg.f64 (exp.f64 wj)))))) |
wj |
#s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (fma.f64 (/.f64 wj (+.f64 wj #s(literal 1 binary64))) #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 wj #s(literal 1 binary64))) (neg.f64 (exp.f64 wj))))) |
(fma.f64 (/.f64 wj (+.f64 wj #s(literal 1 binary64))) #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 wj #s(literal 1 binary64))) (neg.f64 (exp.f64 wj)))) |
(/.f64 wj (+.f64 wj #s(literal 1 binary64))) |
(+.f64 wj #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (/.f64 x (+.f64 wj #s(literal 1 binary64))) (neg.f64 (exp.f64 wj))) |
(/.f64 x (+.f64 wj #s(literal 1 binary64))) |
x |
(neg.f64 (exp.f64 wj)) |
(exp.f64 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)) |
(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 (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) (*.f64 (-.f64 #s(literal 1 binary64) wj) wj)) |
(*.f64 (-.f64 #s(literal 1 binary64) wj) wj) |
(-.f64 #s(literal 1 binary64) wj) |
#s(literal 1 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) #s(approx (* (- 1 wj) (* wj wj)) (*.f64 wj wj)))) |
#s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) #s(approx (* (- 1 wj) (* wj wj)) (*.f64 wj wj))) |
#s(approx (* (- 1 wj) (* wj wj)) (*.f64 wj wj)) |
(*.f64 wj wj) |
wj |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x #s(approx (* (+ (* -1 wj) -1) (exp wj)) (fma.f64 wj #s(literal -2 binary64) #s(literal -1 binary64)))))) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x #s(approx (* (+ (* -1 wj) -1) (exp wj)) (fma.f64 #s(literal -2 binary64) wj #s(literal -1 binary64)))))) |
wj |
#s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x #s(approx (* (+ (* -1 wj) -1) (exp wj)) (fma.f64 wj #s(literal -2 binary64) #s(literal -1 binary64))))) |
#s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x #s(approx (* (+ (* -1 wj) -1) (exp wj)) (fma.f64 #s(literal -2 binary64) wj #s(literal -1 binary64))))) |
(/.f64 x #s(approx (* (+ (* -1 wj) -1) (exp wj)) (fma.f64 wj #s(literal -2 binary64) #s(literal -1 binary64)))) |
(/.f64 x #s(approx (* (+ (* -1 wj) -1) (exp wj)) (fma.f64 #s(literal -2 binary64) wj #s(literal -1 binary64)))) |
x |
#s(approx (* (+ (* -1 wj) -1) (exp wj)) (fma.f64 wj #s(literal -2 binary64) #s(literal -1 binary64))) |
#s(approx (* (+ (* -1 wj) -1) (exp wj)) (fma.f64 #s(literal -2 binary64) wj #s(literal -1 binary64))) |
(fma.f64 wj #s(literal -2 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal -2 binary64) wj #s(literal -1 binary64)) |
#s(literal -2 binary64) |
#s(literal -1 binary64) |
(/.f64 #s(approx (- (* wj wj) (pow (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) 2)) (*.f64 wj wj)) (+.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) wj)) |
(/.f64 #s(approx (- (* wj wj) (pow (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) 2)) (*.f64 wj wj)) (+.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (-.f64 wj #s(literal -1 binary64)))) wj)) |
#s(approx (- (* wj wj) (pow (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) 2)) (*.f64 wj wj)) |
(*.f64 wj wj) |
wj |
(+.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) wj) |
(+.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (-.f64 wj #s(literal -1 binary64)))) wj) |
#s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) |
#s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (-.f64 wj #s(literal -1 binary64)))) |
(/.f64 wj (+.f64 wj #s(literal 1 binary64))) |
(/.f64 wj (-.f64 wj #s(literal -1 binary64))) |
(+.f64 wj #s(literal 1 binary64)) |
(-.f64 wj #s(literal -1 binary64)) |
#s(literal 1 binary64) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (fma.f64 (/.f64 wj (+.f64 wj #s(literal 1 binary64))) #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 wj #s(literal 1 binary64))) (neg.f64 (exp.f64 wj)))))) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (-.f64 #s(literal -1 binary64) wj)))) |
wj |
#s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (fma.f64 (/.f64 wj (+.f64 wj #s(literal 1 binary64))) #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 wj #s(literal 1 binary64))) (neg.f64 (exp.f64 wj))))) |
#s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (-.f64 #s(literal -1 binary64) wj))) |
(fma.f64 (/.f64 wj (+.f64 wj #s(literal 1 binary64))) #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 wj #s(literal 1 binary64))) (neg.f64 (exp.f64 wj)))) |
(/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (-.f64 #s(literal -1 binary64) wj)) |
(/.f64 wj (+.f64 wj #s(literal 1 binary64))) |
(/.f64 wj (-.f64 wj #s(literal -1 binary64))) |
(+.f64 wj #s(literal 1 binary64)) |
(-.f64 wj #s(literal -1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (/.f64 x (+.f64 wj #s(literal 1 binary64))) (neg.f64 (exp.f64 wj))) |
(/.f64 (/.f64 x (exp.f64 wj)) (-.f64 #s(literal -1 binary64) wj)) |
(/.f64 x (+.f64 wj #s(literal 1 binary64))) |
(/.f64 x (-.f64 wj #s(literal -1 binary64))) |
x |
(neg.f64 (exp.f64 wj)) |
(exp.f64 wj) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (fma.f64 (/.f64 wj (+.f64 wj #s(literal 1 binary64))) #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 wj #s(literal 1 binary64))) (neg.f64 (exp.f64 wj)))) | |
| accuracy | 0.01171875 | (/.f64 wj (+.f64 wj #s(literal 1 binary64))) | |
| accuracy | 0.24256662152252792 | (/.f64 (/.f64 x (+.f64 wj #s(literal 1 binary64))) (neg.f64 (exp.f64 wj))) | |
| accuracy | 12.216752187527062 | (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (fma.f64 (/.f64 wj (+.f64 wj #s(literal 1 binary64))) #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 wj #s(literal 1 binary64))) (neg.f64 (exp.f64 wj)))))) | |
| accuracy | 0.0390625 | (+.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) wj) | |
| accuracy | 26.686771739546828 | (/.f64 #s(approx (- (* wj wj) (pow (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) 2)) (*.f64 wj wj)) (+.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) wj)) | |
| accuracy | 47.14059550147316 | #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) | |
| accuracy | 52.39530200268678 | #s(approx (- (* wj wj) (pow (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) 2)) (*.f64 wj wj)) | |
| accuracy | 0.25037912152252795 | (/.f64 x #s(approx (* (+ (* -1 wj) -1) (exp wj)) (fma.f64 wj #s(literal -2 binary64) #s(literal -1 binary64)))) | |
| accuracy | 1.9004403592558154 | #s(approx (* (+ (* -1 wj) -1) (exp wj)) (fma.f64 wj #s(literal -2 binary64) #s(literal -1 binary64))) | |
| accuracy | 12.216752187527062 | (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x #s(approx (* (+ (* -1 wj) -1) (exp wj)) (fma.f64 wj #s(literal -2 binary64) #s(literal -1 binary64)))))) | |
| accuracy | 16.738149705731935 | #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x #s(approx (* (+ (* -1 wj) -1) (exp wj)) (fma.f64 wj #s(literal -2 binary64) #s(literal -1 binary64))))) | |
| accuracy | 0 | (*.f64 wj wj) | |
| accuracy | 1.7718589335464345 | #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 (* (- 1 wj) (* wj wj)) (*.f64 wj wj)))) | |
| accuracy | 2.5596225230592777 | #s(approx (* (- 1 wj) (* wj wj)) (*.f64 wj wj)) | |
| accuracy | 55.35188120888313 | #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) #s(approx (* (- 1 wj) (* wj wj)) (*.f64 wj wj))) | |
| accuracy | 0 | (*.f64 (-.f64 #s(literal 1 binary64) wj) wj) | |
| accuracy | 0.0078125 | (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) | |
| accuracy | 1.7718589335464345 | #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)) | |
| accuracy | 47.0771602518331 | #s(approx (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) (*.f64 (-.f64 #s(literal 1 binary64) wj) wj)) |
| 88.0ms | 205× | 0 | valid |
| 35.0ms | 51× | 1 | valid |
Compiled 367 to 50 computations (86.4% saved)
ival-add: 29.0ms (29.1% of total)ival-mult: 29.0ms (29.1% of total)ival-div: 12.0ms (12.1% of total)ival-sub: 12.0ms (12.1% of total)adjust: 5.0ms (5% of total)ival-exp: 4.0ms (4% of total)const: 4.0ms (4% of total)ival-pow2: 3.0ms (3% 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 #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)) (patch #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)) #<representation binary64>) () ()) |
#s(alt (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) (patch (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) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) (*.f64 (-.f64 #s(literal 1 binary64) wj) wj)) (patch #s(approx (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) (*.f64 (-.f64 #s(literal 1 binary64) wj) wj)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) wj) wj) (patch (*.f64 (-.f64 #s(literal 1 binary64) wj) wj) #<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) #s(approx (* (- 1 wj) (* wj wj)) (*.f64 wj wj)))) (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) #s(approx (* (- 1 wj) (* wj wj)) (*.f64 wj wj)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) #s(approx (* (- 1 wj) (* wj wj)) (*.f64 wj wj))) (patch #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) #s(approx (* (- 1 wj) (* wj wj)) (*.f64 wj wj))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (- 1 wj) (* wj wj)) (*.f64 wj wj)) (patch #s(approx (* (- 1 wj) (* wj wj)) (*.f64 wj wj)) #<representation binary64>) () ()) |
#s(alt (*.f64 wj wj) (patch (*.f64 wj wj) #<representation binary64>) () ()) |
#s(alt (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x #s(approx (* (+ (* -1 wj) -1) (exp wj)) (fma.f64 wj #s(literal -2 binary64) #s(literal -1 binary64)))))) (patch (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x #s(approx (* (+ (* -1 wj) -1) (exp wj)) (fma.f64 wj #s(literal -2 binary64) #s(literal -1 binary64)))))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x #s(approx (* (+ (* -1 wj) -1) (exp wj)) (fma.f64 wj #s(literal -2 binary64) #s(literal -1 binary64))))) (patch #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x #s(approx (* (+ (* -1 wj) -1) (exp wj)) (fma.f64 wj #s(literal -2 binary64) #s(literal -1 binary64))))) #<representation binary64>) () ()) |
#s(alt (/.f64 x #s(approx (* (+ (* -1 wj) -1) (exp wj)) (fma.f64 wj #s(literal -2 binary64) #s(literal -1 binary64)))) (patch (/.f64 x #s(approx (* (+ (* -1 wj) -1) (exp wj)) (fma.f64 wj #s(literal -2 binary64) #s(literal -1 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (+ (* -1 wj) -1) (exp wj)) (fma.f64 wj #s(literal -2 binary64) #s(literal -1 binary64))) (patch #s(approx (* (+ (* -1 wj) -1) (exp wj)) (fma.f64 wj #s(literal -2 binary64) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (- (* wj wj) (pow (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) 2)) (*.f64 wj wj)) (+.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) wj)) (patch (/.f64 #s(approx (- (* wj wj) (pow (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) 2)) (*.f64 wj wj)) (+.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) wj)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* wj wj) (pow (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) 2)) (*.f64 wj wj)) (patch #s(approx (- (* wj wj) (pow (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) 2)) (*.f64 wj wj)) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) wj) (patch (+.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) wj) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 wj (+.f64 wj #s(literal 1 binary64))) #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 wj #s(literal 1 binary64))) (neg.f64 (exp.f64 wj)))) (patch (fma.f64 (/.f64 wj (+.f64 wj #s(literal 1 binary64))) #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 wj #s(literal 1 binary64))) (neg.f64 (exp.f64 wj)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 x (+.f64 wj #s(literal 1 binary64))) (neg.f64 (exp.f64 wj))) (patch (/.f64 (/.f64 x (+.f64 wj #s(literal 1 binary64))) (neg.f64 (exp.f64 wj))) #<representation binary64>) () ()) |
#s(alt (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (fma.f64 (/.f64 wj (+.f64 wj #s(literal 1 binary64))) #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 wj #s(literal 1 binary64))) (neg.f64 (exp.f64 wj)))))) (patch (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (fma.f64 (/.f64 wj (+.f64 wj #s(literal 1 binary64))) #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 wj #s(literal 1 binary64))) (neg.f64 (exp.f64 wj)))))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (fma.f64 (/.f64 wj (+.f64 wj #s(literal 1 binary64))) #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 wj #s(literal 1 binary64))) (neg.f64 (exp.f64 wj))))) (patch #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (fma.f64 (/.f64 wj (+.f64 wj #s(literal 1 binary64))) #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 wj #s(literal 1 binary64))) (neg.f64 (exp.f64 wj))))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) (patch #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 wj (+.f64 wj #s(literal 1 binary64))) (patch (/.f64 wj (+.f64 wj #s(literal 1 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 #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)) (patch #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)) #<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 #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)) (patch #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)) #<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 #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)) (patch #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)) #<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 #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)) (patch #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)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 wj) (#s(alt (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) (patch (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) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -2 (* wj x))) (taylor 0 wj) (#s(alt (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) (patch (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) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* wj (+ (* -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))) wj) (* -2 x)) (*.f64 (-.f64 #s(literal 1 binary64) wj) wj)) wj x) (patch (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) #<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 #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) (patch (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) #<representation binary64>) () ())) ()) |
#s(alt (* -2 x) (taylor 0 wj) (#s(alt #s(approx (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) (*.f64 (-.f64 #s(literal 1 binary64) wj) wj)) (patch #s(approx (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) (*.f64 (-.f64 #s(literal 1 binary64) wj) wj)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -2 x) (* wj (+ 1 (* 5/2 x)))) (taylor 0 wj) (#s(alt #s(approx (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) (*.f64 (-.f64 #s(literal 1 binary64) wj) wj)) (patch #s(approx (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) (*.f64 (-.f64 #s(literal 1 binary64) wj) wj)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -2 x) (* wj (+ 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))) wj) (* -2 x)) (*.f64 (-.f64 #s(literal 1 binary64) wj) wj)) (patch #s(approx (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) (*.f64 (-.f64 #s(literal 1 binary64) wj) wj)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -2 x) (* wj (+ 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))) wj) (* -2 x)) (*.f64 (-.f64 #s(literal 1 binary64) wj) wj)) (patch #s(approx (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) (*.f64 (-.f64 #s(literal 1 binary64) wj) wj)) #<representation binary64>) () ())) ()) |
#s(alt wj (taylor 0 wj) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) wj) wj) (patch (*.f64 (-.f64 #s(literal 1 binary64) wj) wj) #<representation binary64>) () ())) ()) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | wj | @ | 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)) (* (- 1 wj) 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) (* (- 1 wj) (* wj wj)) (* wj wj) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/ x (* (+ (* -1 wj) -1) (exp wj))) (* (+ (* -1 wj) -1) (exp wj)) (/ (- (* wj wj) (pow (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) 2)) (+ (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) wj)) (- (* wj wj) (pow (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) 2)) (+ (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) wj) (+ (* (/ wj (+ wj 1)) 1) (/ (/ x (+ wj 1)) (neg (exp wj)))) (/ (/ x (+ wj 1)) (neg (exp wj))) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/ wj (+ wj 1))) |
| 3.0ms | 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)) (* (- 1 wj) 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) (* (- 1 wj) (* wj wj)) (* wj wj) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/ x (* (+ (* -1 wj) -1) (exp wj))) (* (+ (* -1 wj) -1) (exp wj)) (/ (- (* wj wj) (pow (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) 2)) (+ (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) wj)) (- (* wj wj) (pow (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) 2)) (+ (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) wj) (+ (* (/ wj (+ wj 1)) 1) (/ (/ x (+ wj 1)) (neg (exp wj)))) (/ (/ x (+ wj 1)) (neg (exp wj))) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/ wj (+ wj 1))) |
| 3.0ms | 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)) (* (- 1 wj) 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) (* (- 1 wj) (* wj wj)) (* wj wj) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/ x (* (+ (* -1 wj) -1) (exp wj))) (* (+ (* -1 wj) -1) (exp wj)) (/ (- (* wj wj) (pow (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) 2)) (+ (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) wj)) (- (* wj wj) (pow (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) 2)) (+ (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) wj) (+ (* (/ wj (+ wj 1)) 1) (/ (/ x (+ wj 1)) (neg (exp wj)))) (/ (/ x (+ wj 1)) (neg (exp wj))) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/ wj (+ wj 1))) |
| 3.0ms | 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)) (* (- 1 wj) 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) (* (- 1 wj) (* wj wj)) (* wj wj) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/ x (* (+ (* -1 wj) -1) (exp wj))) (* (+ (* -1 wj) -1) (exp wj)) (/ (- (* wj wj) (pow (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) 2)) (+ (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) wj)) (- (* wj wj) (pow (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) 2)) (+ (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) wj) (+ (* (/ wj (+ wj 1)) 1) (/ (/ x (+ wj 1)) (neg (exp wj)))) (/ (/ x (+ wj 1)) (neg (exp wj))) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/ wj (+ wj 1))) |
| 2.0ms | 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)) (* (- 1 wj) 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) (* (- 1 wj) (* wj wj)) (* wj wj) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/ x (* (+ (* -1 wj) -1) (exp wj))) (* (+ (* -1 wj) -1) (exp wj)) (/ (- (* wj wj) (pow (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) 2)) (+ (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) wj)) (- (* wj wj) (pow (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) 2)) (+ (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) wj) (+ (* (/ wj (+ wj 1)) 1) (/ (/ x (+ wj 1)) (neg (exp wj)))) (/ (/ x (+ wj 1)) (neg (exp wj))) (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/ wj (+ wj 1))) |
| 1× | egg-herbie |
| 9 492× | lower-fma.f64 |
| 9 492× | lower-fma.f32 |
| 5 684× | lower-+.f64 |
| 5 684× | lower-+.f32 |
| 5 568× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 788 | 9466 |
| 1 | 2582 | 9048 |
| 0 | 8295 | 8560 |
| 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))))) |
wj |
(* wj (+ 1 (* -1 wj))) |
(* wj (+ 1 (* -1 wj))) |
(* wj (+ 1 (* -1 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 (+ (* -2 x) (* wj (+ 1 (* 5/2 x)))))) |
(+ x (* wj (+ (* -2 x) (* wj (+ 1 (+ (* -1 (* wj (+ 1 (+ (* 2/3 x) (* 2 x))))) (* 5/2 x))))))) |
(pow wj 2) |
(* (pow wj 2) (+ 1 (* -1 wj))) |
(* (pow wj 2) (+ 1 (* -1 wj))) |
(* (pow wj 2) (+ 1 (* -1 wj))) |
(pow wj 2) |
(pow wj 2) |
(pow wj 2) |
(pow wj 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)))) |
(* -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) |
(+ (* -1 x) (* 2 (* wj x))) |
(+ (* -1 x) (* wj (- (* -1 (* wj (+ (* -3/2 x) (* 4 x)))) (* -2 x)))) |
(+ (* -1 x) (* wj (- (* wj (- (* -1 (* wj (+ (* -2 (+ (* -3/2 x) (* 4 x))) (+ (* -2/3 x) (* 3 x))))) (+ (* -3/2 x) (* 4 x)))) (* -2 x)))) |
-1 |
(- (* -2 wj) 1) |
(- (* wj (- (* -3/2 wj) 2)) 1) |
(- (* wj (- (* wj (- (* -2/3 wj) 3/2)) 2)) 1) |
x |
(+ x (* wj (- (* -1 (/ (- (* 4 (pow x 2)) (* -2 x)) x)) (* -1 (+ 2 (* 2 x)))))) |
(+ x (* wj (- (+ (* -1 (/ (- (* 4 (pow x 2)) (* -2 x)) x)) (* wj (- (* -1 (/ (- (+ (* 4 (- (* -2 x) (* 4 (pow x 2)))) (* 7 (pow x 2))) (* -2 x)) x)) (+ (* -1 (- (+ (* -4 x) (* 3/2 x)) 1)) (* -1 (/ (* (+ 2 (* 2 x)) (- (* -1 (/ (- (* 4 (pow x 2)) (* -2 x)) x)) (* -1 (+ 2 (* 2 x))))) x)))))) (* -1 (+ 2 (* 2 x)))))) |
(+ x (* wj (- (+ (* -1 (/ (- (* 4 (pow x 2)) (* -2 x)) x)) (* wj (- (+ (* -1 (/ (- (+ (* 4 (- (* -2 x) (* 4 (pow x 2)))) (* 7 (pow x 2))) (* -2 x)) x)) (* wj (- (* -1 (/ (- (+ (* 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)))) (+ 2 (* -1 x))) x)) (+ (* -1 (+ 1 (+ (* -3 x) (+ (* -2 (+ (* -4 x) (* 3/2 x))) (* 2/3 x))))) (+ (* -1 (/ (* (+ 2 (* 2 x)) (- (* -1 (/ (- (+ (* 4 (- (* -2 x) (* 4 (pow x 2)))) (* 7 (pow x 2))) (* -2 x)) x)) (+ (* -1 (- (+ (* -4 x) (* 3/2 x)) 1)) (* -1 (/ (* (+ 2 (* 2 x)) (- (* -1 (/ (- (* 4 (pow x 2)) (* -2 x)) x)) (* -1 (+ 2 (* 2 x))))) x))))) x)) (* -1 (/ (* (- (* -1 (/ (- (* 4 (pow x 2)) (* -2 x)) x)) (* -1 (+ 2 (* 2 x)))) (- (+ (* -4 x) (* 3/2 x)) 1)) x))))))) (+ (* -1 (- (+ (* -4 x) (* 3/2 x)) 1)) (* -1 (/ (* (+ 2 (* 2 x)) (- (* -1 (/ (- (* 4 (pow x 2)) (* -2 x)) x)) (* -1 (+ 2 (* 2 x))))) x)))))) (* -1 (+ 2 (* 2 x)))))) |
(* -1 (pow x 2)) |
(- (* wj (- (* 4 (pow x 2)) (* -2 x))) (pow x 2)) |
(- (* wj (- (+ (* 4 (pow x 2)) (* wj (- (+ (* 4 (- (* -2 x) (* 4 (pow x 2)))) (* 7 (pow x 2))) (* -2 x)))) (* -2 x))) (pow x 2)) |
(- (* wj (- (+ (* 4 (pow x 2)) (* wj (- (+ (* 4 (- (* -2 x) (* 4 (pow x 2)))) (+ (* 7 (pow x 2)) (* wj (- (+ (* 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)))) (+ 2 (* -1 x)))))) (* -2 x)))) (* -2 x))) (pow x 2)) |
(* -1 x) |
(- (* wj (+ 2 (* 2 x))) x) |
(- (* wj (+ 2 (+ (* 2 x) (* wj (- (+ (* -4 x) (* 3/2 x)) 1))))) x) |
(- (* wj (+ 2 (+ (* 2 x) (* wj (- (+ (* -4 x) (+ (* 3/2 x) (* wj (+ 1 (+ (* -3 x) (+ (* -2 (+ (* -4 x) (* 3/2 x))) (* 2/3 x))))))) 1))))) x) |
(* -1 x) |
(+ (* -1 x) (* wj (+ 1 (* 2 x)))) |
(+ (* -1 x) (* wj (+ 1 (+ (* 2 x) (* wj (- (+ (* -4 x) (* 3/2 x)) 1)))))) |
(+ (* -1 x) (* wj (+ 1 (+ (* 2 x) (* wj (- (+ (* -4 x) (+ (* 3/2 x) (* wj (+ 1 (+ (* -3 x) (+ (* -2 (+ (* -4 x) (* 3/2 x))) (* 2/3 x))))))) 1)))))) |
(* -1 x) |
(+ (* -1 x) (* 2 (* wj x))) |
(+ (* -1 x) (* wj (+ (* 2 x) (* wj (+ (* -4 x) (* 3/2 x)))))) |
(+ (* -1 x) (* wj (+ (* 2 x) (* wj (+ (* -4 x) (+ (* 3/2 x) (* wj (+ (* -3 x) (+ (* -2 (+ (* -4 x) (* 3/2 x))) (* 2/3 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) |
(+ (* -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)))) |
wj |
(* wj (+ 1 (* -1 wj))) |
(* wj (+ 1 (* wj (- wj 1)))) |
(* wj (+ 1 (* wj (- (* wj (+ 1 (* -1 wj))) 1)))) |
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 (pow wj 2)) |
(* (pow wj 2) (- (/ 1 wj) 1)) |
(* (pow wj 2) (- (/ 1 wj) 1)) |
(* (pow wj 2) (- (/ 1 wj) 1)) |
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 3)) |
(* (pow wj 3) (- (/ 1 wj) 1)) |
(* (pow wj 3) (- (/ 1 wj) 1)) |
(* (pow wj 3) (- (/ 1 wj) 1)) |
(pow wj 2) |
(pow wj 2) |
(pow wj 2) |
(pow wj 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 |
(- (+ 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))))) |
(* -1 (/ x (* wj (exp wj)))) |
(/ (+ (* -1 (/ x (exp wj))) (/ x (* wj (exp wj)))) wj) |
(/ (+ (* -1 (/ x (exp wj))) (+ (* -1 (/ x (* (pow wj 2) (exp wj)))) (/ x (* wj (exp wj))))) wj) |
(/ (+ (* -1 (/ x (exp wj))) (+ (* -1 (/ x (* (pow wj 2) (exp wj)))) (+ (/ x (* wj (exp wj))) (/ x (* (pow wj 3) (exp wj)))))) wj) |
(* -1 (* wj (exp wj))) |
(* wj (+ (* -1 (exp wj)) (* -1 (/ (exp wj) wj)))) |
(* wj (+ (* -1 (exp wj)) (* -1 (/ (exp wj) wj)))) |
(* wj (+ (* -1 (exp wj)) (* -1 (/ (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 (+ (* -2 (/ x (exp wj))) (* 3 (/ x (exp wj))))) (pow wj 3)))) (+ (* -1 (/ (+ 1 (/ x (exp wj))) (pow wj 2))) (/ 1 wj)))) |
(pow wj 2) |
(* (pow wj 2) (- 1 (/ 1 (pow wj 2)))) |
(* (pow wj 2) (- (+ 1 (/ 2 (pow wj 3))) (+ (* -2 (/ x (* (pow wj 3) (exp wj)))) (/ 1 (pow wj 2))))) |
(* (pow wj 2) (- (+ 1 (+ (* 2 (/ (- (* -2 (/ x (exp wj))) 2) (pow wj 4))) (+ (/ 1 (pow wj 4)) (/ 2 (pow wj 3))))) (+ (* -2 (/ x (* (pow wj 3) (exp wj)))) (+ (/ 1 (pow wj 2)) (/ (pow x 2) (* (pow wj 4) (pow (exp wj) 2))))))) |
wj |
(* wj (+ 1 (/ 1 wj))) |
(* wj (+ 1 (+ (* -1 (/ (+ 1 (/ x (exp wj))) (pow wj 2))) (/ 1 wj)))) |
(* wj (- (+ 1 (+ (/ 1 wj) (+ (/ 1 (pow wj 3)) (/ x (* (pow wj 3) (exp wj)))))) (+ (/ 1 (pow wj 2)) (/ x (* (pow wj 2) (exp wj)))))) |
1 |
(- (+ 1 (* -1 (/ x (* wj (exp wj))))) (/ 1 wj)) |
(- (+ 1 (+ (* -1 (/ x (* wj (exp wj)))) (+ (/ 1 (pow wj 2)) (/ 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)) (/ x (* (pow wj 2) (exp wj))))))) (+ (/ 1 wj) (/ 1 (pow wj 3)))) |
(* -1 (/ x (* wj (exp wj)))) |
(/ (+ (* -1 (/ x (exp wj))) (/ x (* wj (exp wj)))) wj) |
(/ (+ (* -1 (/ x (exp wj))) (+ (* -1 (/ x (* (pow wj 2) (exp wj)))) (/ x (* wj (exp wj))))) wj) |
(/ (+ (* -1 (/ x (exp wj))) (+ (* -1 (/ x (* (pow wj 2) (exp wj)))) (+ (/ x (* wj (exp wj))) (/ x (* (pow wj 3) (exp wj)))))) wj) |
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))) |
1 |
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(- (+ 1 (+ (* -1 (/ x (* wj (exp wj)))) (/ 1 (pow wj 2)))) (+ (* -1 (/ x (* (pow wj 2) (exp wj)))) (/ 1 wj))) |
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1 |
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1 |
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wj |
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(* -1 (* (pow wj 2) (+ 1 (+ (* 2/3 x) (* 2 x))))) |
(* (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)))) |
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(* -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) |
(pow wj 2) |
(pow wj 2) |
(pow wj 2) |
wj |
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1 |
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wj |
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wj |
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1 |
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(* (pow wj 2) (- 1 wj)) |
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(/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))) |
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(/ x (* (exp wj) (- (* -1 wj) 1))) |
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(/ x (* (exp wj) (- (* -1 wj) 1))) |
(/ (- (pow wj 2) (/ (* (pow wj 2) (pow (exp wj) 2)) (pow (+ (exp wj) (* wj (exp wj))) 2))) (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj)))))) |
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(- (+ (* x (- (+ (* -1 (* x (+ (* -1 (/ (- (* 2 (/ (* wj (exp wj)) (* (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) (pow (+ (exp wj) (* wj (exp wj))) 2)))) (* -1 (/ (- (pow wj 2) (/ (* (pow wj 2) (pow (exp wj) 2)) (pow (+ (exp wj) (* wj (exp wj))) 2))) (* (pow (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) 2) (+ (exp wj) (* wj (exp wj))))))) (* (+ 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))))) (* -1 (/ (- (pow wj 2) (/ (* (pow wj 2) (pow (exp wj) 2)) (pow (+ (exp wj) (* wj (exp wj))) 2))) (* (pow (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) 2) (+ (exp wj) (* wj (exp wj)))))))) (/ (pow wj 2) (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))))) (/ (* (pow wj 2) (pow (exp wj) 2)) (* (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) (pow (+ (exp wj) (* wj (exp wj))) 2)))) |
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(* 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) (- (* -1 wj) 1))) |
(/ x (* (exp wj) (- (* -1 wj) 1))) |
(/ x (* (exp wj) (- (* -1 wj) 1))) |
(/ x (* (exp wj) (- (* -1 wj) 1))) |
(/ 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))) (- (pow wj 2) (/ (* (pow wj 2) (pow (exp wj) 2)) (pow (+ (exp wj) (* wj (exp wj))) 2)))) (pow x 2))) (/ 1 (+ (exp wj) (* wj (exp wj)))))) (+ (* -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))) (- (pow wj 2) (/ (* (pow wj 2) (pow (exp wj) 2)) (pow (+ (exp wj) (* wj (exp wj))) 2)))) (pow x 2))) (+ (/ 1 (+ (exp wj) (* wj (exp wj)))) (/ (* (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) (* (+ (exp wj) (* wj (exp wj))) (- (* -1 (* (+ (exp wj) (* wj (exp wj))) (- (pow wj 2) (/ (* (pow wj 2) (pow (exp wj) 2)) (pow (+ (exp wj) (* wj (exp 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))))) (+ (* -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))))) |
(* -1 (/ (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) (- (/ (pow 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) (- (/ (pow 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))))))) |
(* -1 (/ x (+ (exp wj) (* wj (exp wj))))) |
(* x (- (+ (/ wj x) (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj)))))) |
(* x (- (+ (/ wj x) (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj)))))) |
(* x (- (+ (/ wj x) (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj)))))) |
(* -1 (/ x (* (exp wj) (+ 1 wj)))) |
(* x (- (/ wj (* x (+ 1 wj))) (/ 1 (* (exp wj) (+ 1 wj))))) |
(* x (- (/ wj (* x (+ 1 wj))) (/ 1 (* (exp wj) (+ 1 wj))))) |
(* x (- (/ wj (* x (+ 1 wj))) (/ 1 (* (exp wj) (+ 1 wj))))) |
(* -1 (/ x (* (exp wj) (+ 1 wj)))) |
(* -1 (/ x (* (exp wj) (+ 1 wj)))) |
(* -1 (/ x (* (exp wj) (+ 1 wj)))) |
(* -1 (/ x (* (exp wj) (+ 1 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 (+ (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 (+ (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)))) |
(* -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))) |
(* -1 (* x (+ 2 (* -1 (* wj (+ 5/2 (* -8/3 wj))))))) |
(* -1 (* x (+ 2 (+ (* -1 (* wj (+ 5/2 (* -8/3 wj)))) (* -1 (/ (* wj (- 1 wj)) x)))))) |
(* -1 (* x (+ 2 (+ (* -1 (* wj (+ 5/2 (* -8/3 wj)))) (* -1 (/ (* wj (- 1 wj)) x)))))) |
(* -1 (* x (+ 2 (+ (* -1 (* wj (+ 5/2 (* -8/3 wj)))) (* -1 (/ (* 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 (- (* 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))))))) |
(/ x (* (exp wj) (- (* -1 wj) 1))) |
(/ x (* (exp wj) (- (* -1 wj) 1))) |
(/ x (* (exp wj) (- (* -1 wj) 1))) |
(/ x (* (exp wj) (- (* -1 wj) 1))) |
(/ x (+ (exp wj) (* wj (exp wj)))) |
(* -1 (* x (- (* -1 (/ (- (* -2 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) (* -1 (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -2 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) (* -1 (/ (- (* (+ (exp wj) (* wj (exp wj))) (- (pow wj 2) (/ (* (pow wj 2) (pow (exp wj) 2)) (pow (+ (exp wj) (* wj (exp wj))) 2)))) (* (+ 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)))))))))) x))) (* -1 (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(* -1 (* x (- (* -1 (/ (- (+ (* -2 (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) (* -1 (/ (- (+ (* (+ (exp wj) (* wj (exp wj))) (- (pow wj 2) (/ (* (pow wj 2) (pow (exp wj) 2)) (pow (+ (exp wj) (* wj (exp wj))) 2)))) (/ (* (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) (* (+ (exp wj) (* wj (exp wj))) (- (* (+ (exp wj) (* wj (exp wj))) (- (pow wj 2) (/ (* (pow wj 2) (pow (exp wj) 2)) (pow (+ (exp wj) (* wj (exp wj))) 2)))) (* (+ 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)))))))))))) x)) (* (+ 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)))))))))) x))) (* -1 (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))))) x)) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(* -1 (/ (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 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)) (/ 1 (pow (+ (exp wj) (* wj (exp wj))) 2)))) |
(* (pow x 2) (- (* -1 (/ (- (* -1 (/ (- (pow 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)) (/ 1 (pow (+ (exp wj) (* wj (exp 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))))))) |
(* -1 (/ x (* (exp wj) (+ 1 wj)))) |
(* -1 (* x (+ (* -1 (/ wj (* x (+ 1 wj)))) (/ 1 (* (exp wj) (+ 1 wj)))))) |
(* -1 (* x (+ (* -1 (/ wj (* x (+ 1 wj)))) (/ 1 (* (exp wj) (+ 1 wj)))))) |
(* -1 (* x (+ (* -1 (/ wj (* x (+ 1 wj)))) (/ 1 (* (exp wj) (+ 1 wj)))))) |
(* -1 (/ x (* (exp wj) (+ 1 wj)))) |
(* -1 (/ x (* (exp wj) (+ 1 wj)))) |
(* -1 (/ x (* (exp wj) (+ 1 wj)))) |
(* -1 (/ x (* (exp wj) (+ 1 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 (+ (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 (+ (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))))))) |
| Outputs |
|---|
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 #s(literal -2 binary64) x (fma.f64 #s(literal 5/2 binary64) (*.f64 wj x) wj)) 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 (fma.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) #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 wj #s(literal -2 binary64) #s(literal 1 binary64)) x) |
(+ x (* wj (+ (* -2 x) (* wj (+ 1 (* 5/2 x)))))) |
(fma.f64 (fma.f64 #s(literal -2 binary64) x (fma.f64 #s(literal 5/2 binary64) (*.f64 wj x) wj)) 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 x #s(literal -8/3 binary64) #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) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(+ (* -2 x) (* wj (+ 1 (* 5/2 x)))) |
(fma.f64 #s(literal -2 binary64) x (fma.f64 #s(literal 5/2 binary64) (*.f64 wj x) wj)) |
(+ (* -2 x) (* wj (+ 1 (+ (* -1 (* wj (+ 1 (+ (* 2/3 x) (* 2 x))))) (* 5/2 x))))) |
(fma.f64 (fma.f64 (fma.f64 x #s(literal -8/3 binary64) #s(literal -1 binary64)) wj (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 (fma.f64 (fma.f64 x #s(literal -8/3 binary64) #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 |
(* wj (+ 1 (* -1 wj))) |
(*.f64 (-.f64 #s(literal 1 binary64) wj) wj) |
(* wj (+ 1 (* -1 wj))) |
(*.f64 (-.f64 #s(literal 1 binary64) wj) wj) |
(* wj (+ 1 (* -1 wj))) |
(*.f64 (-.f64 #s(literal 1 binary64) wj) wj) |
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 #s(literal -2 binary64) x (fma.f64 #s(literal 5/2 binary64) (*.f64 wj x) wj)) 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 (fma.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) #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 wj #s(literal -2 binary64) #s(literal 1 binary64)) x) |
(+ x (* wj (+ (* -2 x) (* wj (+ 1 (* 5/2 x)))))) |
(fma.f64 (fma.f64 #s(literal -2 binary64) x (fma.f64 #s(literal 5/2 binary64) (*.f64 wj x) wj)) 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 x #s(literal -8/3 binary64) #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) |
(pow wj 2) |
(*.f64 wj wj) |
(* (pow wj 2) (+ 1 (* -1 wj))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) wj) wj) wj) |
(* (pow wj 2) (+ 1 (* -1 wj))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) wj) wj) wj) |
(* (pow wj 2) (+ 1 (* -1 wj))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) wj) wj) wj) |
(pow wj 2) |
(*.f64 wj wj) |
(pow wj 2) |
(*.f64 wj wj) |
(pow wj 2) |
(*.f64 wj wj) |
(pow wj 2) |
(*.f64 wj wj) |
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 #s(literal -2 binary64) x (fma.f64 #s(literal 5/2 binary64) (*.f64 wj x) wj)) 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 (fma.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) #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) |
(* -1 x) |
(neg.f64 x) |
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(- (+ (* 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)))) (* -1 (/ (- (pow wj 2) (/ (* (pow wj 2) (pow (exp wj) 2)) (pow (+ (exp wj) (* wj (exp wj))) 2))) (* (pow (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) 2) (+ (exp wj) (* wj (exp wj))))))) (* (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)))) (* -1 (/ (- (pow wj 2) (/ (* (pow wj 2) (pow (exp wj) 2)) (pow (+ (exp wj) (* wj (exp wj))) 2))) (* (pow (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) 2) (+ (exp wj) (* wj (exp wj))))))) (* (+ 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))))))) (* -1 (/ (- (pow wj 2) (/ (* (pow wj 2) (pow (exp wj) 2)) (pow (+ (exp wj) (* wj (exp wj))) 2))) (* (pow (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) 2) (+ (exp wj) (* wj (exp wj)))))))) (/ (pow wj 2) (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))))) (/ (* (pow wj 2) (pow (exp wj) 2)) (* (+ wj (/ (* wj (exp wj)) (+ (exp wj) (* wj (exp wj))))) (pow (+ (exp wj) (* wj (exp wj))) 2)))) |
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(*.f64 (fma.f64 (neg.f64 wj) (/.f64 (exp.f64 wj) (*.f64 (fma.f64 wj x x) (exp.f64 wj))) (/.f64 (exp.f64 (neg.f64 wj)) (+.f64 #s(literal 1 binary64) wj))) (neg.f64 x)) |
(* -1 (* x (+ (* -1 (/ (* wj (exp wj)) (* x (+ (exp wj) (* wj (exp wj)))))) (/ 1 (+ (exp wj) (* wj (exp wj))))))) |
(*.f64 (fma.f64 (neg.f64 wj) (/.f64 (exp.f64 wj) (*.f64 (fma.f64 wj x x) (exp.f64 wj))) (/.f64 (exp.f64 (neg.f64 wj)) (+.f64 #s(literal 1 binary64) wj))) (neg.f64 x)) |
| 4 350× | lower-fma.f32 |
| 4 344× | lower-fma.f64 |
| 4 044× | lower-/.f32 |
| 4 034× | lower-/.f64 |
| 3 854× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 521 |
| 0 | 83 | 503 |
| 1 | 397 | 475 |
| 2 | 3696 | 475 |
| 0 | 9101 | 455 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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)) |
(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 (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) (*.f64 (-.f64 #s(literal 1 binary64) wj) wj)) |
(*.f64 (-.f64 #s(literal 1 binary64) wj) 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 (* (- 1 wj) (* wj wj)) (*.f64 wj wj)))) |
#s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) #s(approx (* (- 1 wj) (* wj wj)) (*.f64 wj wj))) |
#s(approx (* (- 1 wj) (* wj wj)) (*.f64 wj wj)) |
(*.f64 wj wj) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x #s(approx (* (+ (* -1 wj) -1) (exp wj)) (fma.f64 wj #s(literal -2 binary64) #s(literal -1 binary64)))))) |
#s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x #s(approx (* (+ (* -1 wj) -1) (exp wj)) (fma.f64 wj #s(literal -2 binary64) #s(literal -1 binary64))))) |
(/.f64 x #s(approx (* (+ (* -1 wj) -1) (exp wj)) (fma.f64 wj #s(literal -2 binary64) #s(literal -1 binary64)))) |
#s(approx (* (+ (* -1 wj) -1) (exp wj)) (fma.f64 wj #s(literal -2 binary64) #s(literal -1 binary64))) |
(/.f64 #s(approx (- (* wj wj) (pow (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) 2)) (*.f64 wj wj)) (+.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) wj)) |
#s(approx (- (* wj wj) (pow (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) 2)) (*.f64 wj wj)) |
(+.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) wj) |
(fma.f64 (/.f64 wj (+.f64 wj #s(literal 1 binary64))) #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 wj #s(literal 1 binary64))) (neg.f64 (exp.f64 wj)))) |
(/.f64 (/.f64 x (+.f64 wj #s(literal 1 binary64))) (neg.f64 (exp.f64 wj))) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (fma.f64 (/.f64 wj (+.f64 wj #s(literal 1 binary64))) #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 wj #s(literal 1 binary64))) (neg.f64 (exp.f64 wj)))))) |
#s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (fma.f64 (/.f64 wj (+.f64 wj #s(literal 1 binary64))) #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 wj #s(literal 1 binary64))) (neg.f64 (exp.f64 wj))))) |
#s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) |
(/.f64 wj (+.f64 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)) |
(*.f64 (-.f64 (pow.f64 (*.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) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (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 (neg.f64 x)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (*.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) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x (*.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)) (pow.f64 (*.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) #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))) wj) (* -2 x)) (*.f64 (-.f64 #s(literal 1 binary64) wj) wj)) wj (neg.f64 x)) (-.f64 (pow.f64 (*.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) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (*.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)) (pow.f64 (*.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) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.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) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.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) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.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)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.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) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (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 (neg.f64 x))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.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) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.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)) (pow.f64 (*.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) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.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) #s(literal 2 binary64))) (-.f64 x (*.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))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.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) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (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 (neg.f64 x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.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) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (*.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) #s(literal 2 binary64)) (*.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)) (*.f64 wj x)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.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) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.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)) (pow.f64 (*.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) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.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) #s(literal 2 binary64)) (*.f64 x x)) (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 (neg.f64 x))) |
(/.f64 (+.f64 (pow.f64 (*.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) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.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) #s(literal 2 binary64)) (*.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)) (*.f64 wj x))))) |
(/.f64 (+.f64 (pow.f64 (*.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) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.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)) (pow.f64 (*.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) #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (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 (neg.f64 x)) (-.f64 (pow.f64 (*.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) #s(literal 2 binary64)) (*.f64 x x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x (*.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)) (pow.f64 (*.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) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.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) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (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 (neg.f64 x)) (-.f64 (pow.f64 (*.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) #s(literal 2 binary64)) (*.f64 x x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.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)) (pow.f64 (*.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) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.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) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(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) |
(fma.f64 wj #s(approx (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) (*.f64 (-.f64 #s(literal 1 binary64) wj) wj)) x) |
(-.f64 (/.f64 (pow.f64 (*.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) #s(literal 2 binary64)) (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 (neg.f64 x))) (/.f64 (*.f64 x x) (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 (neg.f64 x)))) |
(+.f64 (*.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 x (*.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)) |
#s(approx (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) (*.f64 (-.f64 #s(literal 1 binary64) wj) wj)) |
(*.f64 (-.f64 #s(literal 1 binary64) wj) wj) |
(*.f64 wj (-.f64 #s(literal 1 binary64) wj)) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 wj wj)) wj)) (-.f64 #s(literal -1 binary64) wj)) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 wj #s(literal 3 binary64))) wj)) (neg.f64 (fma.f64 wj (+.f64 #s(literal 1 binary64) wj) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 wj (-.f64 #s(literal 1 binary64) (*.f64 wj wj)))) (-.f64 #s(literal -1 binary64) wj)) |
(/.f64 (neg.f64 (*.f64 wj (-.f64 #s(literal 1 binary64) (pow.f64 wj #s(literal 3 binary64))))) (neg.f64 (fma.f64 wj (+.f64 #s(literal 1 binary64) wj) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 wj wj)) wj) (+.f64 #s(literal 1 binary64) wj)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 wj #s(literal 3 binary64))) wj) (fma.f64 wj (+.f64 #s(literal 1 binary64) wj) #s(literal 1 binary64))) |
(/.f64 (*.f64 wj (-.f64 #s(literal 1 binary64) (*.f64 wj wj))) (+.f64 #s(literal 1 binary64) wj)) |
(/.f64 (*.f64 wj (-.f64 #s(literal 1 binary64) (pow.f64 wj #s(literal 3 binary64)))) (fma.f64 wj (+.f64 #s(literal 1 binary64) wj) #s(literal 1 binary64))) |
(fma.f64 (pow.f64 (neg.f64 wj) #s(literal 1 binary64)) #s(literal -1 binary64) (*.f64 (neg.f64 wj) wj)) |
(fma.f64 (pow.f64 (neg.f64 wj) #s(literal 1 binary64)) #s(literal -1 binary64) (*.f64 wj (neg.f64 wj))) |
(fma.f64 (neg.f64 wj) #s(literal -1 binary64) (*.f64 (neg.f64 wj) wj)) |
(fma.f64 (neg.f64 wj) #s(literal -1 binary64) (*.f64 wj (neg.f64 wj))) |
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 wj) #s(literal 1 binary64)) (*.f64 (neg.f64 wj) wj)) |
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 wj) #s(literal 1 binary64)) (*.f64 wj (neg.f64 wj))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 wj) (*.f64 (neg.f64 wj) wj)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 wj) (*.f64 wj (neg.f64 wj))) |
(fma.f64 #s(literal 1 binary64) wj (*.f64 (neg.f64 wj) wj)) |
(fma.f64 #s(literal 1 binary64) wj (*.f64 wj (neg.f64 wj))) |
(fma.f64 wj #s(literal 1 binary64) (*.f64 (neg.f64 wj) wj)) |
(fma.f64 wj #s(literal 1 binary64) (*.f64 wj (neg.f64 wj))) |
(+.f64 wj (*.f64 (neg.f64 wj) wj)) |
(+.f64 wj (*.f64 wj (neg.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 (* (- 1 wj) (* wj wj)) (*.f64 wj wj)))) |
#s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) #s(approx (* (- 1 wj) (* wj wj)) (*.f64 wj wj))) |
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(/.f64 (neg.f64 (-.f64 (*.f64 wj wj) (pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (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))))) #s(literal 2 binary64)))) (neg.f64 (-.f64 wj (neg.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (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))))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 wj wj) (pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (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))))) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (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))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 wj #s(literal 3 binary64)) (pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (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))))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 wj wj (-.f64 (pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (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))))) #s(literal 2 binary64)) (*.f64 wj (neg.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (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))))))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 wj #s(literal 3 binary64)) (pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (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))))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (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))))) (+.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (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) (*.f64 wj wj)))) |
(/.f64 (-.f64 (*.f64 wj wj) (pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (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))))) #s(literal 2 binary64))) (-.f64 wj (neg.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (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)))))))) |
(/.f64 (-.f64 (*.f64 wj wj) (pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (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))))) #s(literal 2 binary64))) (+.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (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)) |
(/.f64 (-.f64 (pow.f64 wj #s(literal 3 binary64)) (pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (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))))) #s(literal 3 binary64))) (fma.f64 wj wj (-.f64 (pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (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))))) #s(literal 2 binary64)) (*.f64 wj (neg.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (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)))))))))) |
(/.f64 (-.f64 (pow.f64 wj #s(literal 3 binary64)) (pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (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))))) #s(literal 3 binary64))) (fma.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (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))))) (+.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (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) (*.f64 wj wj))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (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) (-.f64 (*.f64 wj wj) (pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (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))))) #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (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))))) (+.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (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) (*.f64 wj wj)) (-.f64 (pow.f64 wj #s(literal 3 binary64)) (pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (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))))) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (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) (-.f64 (*.f64 wj wj) (pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (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))))) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (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))))) (+.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (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) (*.f64 wj wj)) (-.f64 (pow.f64 wj #s(literal 3 binary64)) (pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (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))))) #s(literal 3 binary64))))) |
(fma.f64 (pow.f64 (neg.f64 wj) #s(literal 1 binary64)) #s(literal -1 binary64) (neg.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (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))))))) |
(fma.f64 (neg.f64 wj) #s(literal -1 binary64) (neg.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (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))))))) |
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 wj) #s(literal 1 binary64)) (neg.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (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))))))) |
(fma.f64 #s(literal -1 binary64) #s(approx (/ (- (* wj (exp wj)) x) (+ (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) |
(fma.f64 #s(literal -1 binary64) (neg.f64 wj) (neg.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (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))))))) |
(fma.f64 #s(literal 1 binary64) wj (neg.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (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))))))) |
(fma.f64 wj #s(literal 1 binary64) (neg.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (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))))))) |
(-.f64 (/.f64 (*.f64 wj wj) (+.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (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)) (/.f64 (pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (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))))) #s(literal 2 binary64)) (+.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (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))) |
(-.f64 (/.f64 (pow.f64 wj #s(literal 3 binary64)) (fma.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (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))))) (+.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (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) (*.f64 wj wj))) (/.f64 (pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (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))))) #s(literal 3 binary64)) (fma.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (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))))) (+.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (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) (*.f64 wj wj)))) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (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)))))) |
(+.f64 (neg.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (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) |
(+.f64 wj (neg.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (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))))))) |
#s(approx (/ (- (* wj (exp wj)) x) (+ (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))))) |
#s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) |
(*.f64 (/.f64 wj (fma.f64 wj wj #s(literal -1 binary64))) (-.f64 wj #s(literal 1 binary64))) |
(*.f64 (/.f64 wj (-.f64 #s(literal 1 binary64) (pow.f64 wj #s(literal 3 binary64)))) (fma.f64 wj wj (-.f64 #s(literal 1 binary64) wj))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) wj) #s(literal -1 binary64)) (pow.f64 (pow.f64 wj #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) wj) #s(literal -1 binary64)) wj) |
(*.f64 (/.f64 wj (+.f64 #s(literal 1 binary64) wj)) #s(literal 1 binary64)) |
(*.f64 (neg.f64 wj) (pow.f64 (-.f64 #s(literal -1 binary64) wj) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 wj (-.f64 #s(literal -1 binary64) wj))) |
(*.f64 #s(literal 1 binary64) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) |
(*.f64 wj (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) wj) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 wj (pow.f64 (+.f64 #s(literal 1 binary64) wj) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) wj) wj) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) wj) wj) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 wj) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal -1 binary64) wj))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 wj))) (neg.f64 (-.f64 #s(literal -1 binary64) wj))) |
(/.f64 (*.f64 (neg.f64 wj) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) wj)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 wj)) (-.f64 #s(literal -1 binary64) wj)) |
(/.f64 (neg.f64 wj) (neg.f64 (neg.f64 (-.f64 #s(literal -1 binary64) wj)))) |
(/.f64 (neg.f64 wj) (-.f64 #s(literal -1 binary64) wj)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) wj) wj) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) wj) wj))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) wj) wj)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) wj) wj) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) wj) wj)) |
(/.f64 wj (neg.f64 (-.f64 #s(literal -1 binary64) wj))) |
(/.f64 wj (+.f64 #s(literal 1 binary64) wj)) |
(neg.f64 (/.f64 wj (-.f64 #s(literal -1 binary64) wj))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) wj) wj)) #s(literal -1 binary64))) |
Compiled 20 508 to 2 484 computations (87.9% saved)
14 alts after pruning (8 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 856 | 3 | 859 |
| Fresh | 7 | 5 | 12 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 865 | 14 | 879 |
| Status | Accuracy | Program |
|---|---|---|
| 13.4% | (/.f64 #s(approx (- (* wj wj) (pow (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) 2)) (*.f64 wj wj)) (+.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(approx (/ wj (+ wj 1)) #s(literal 1 binary64))) wj)) | |
| 3.2% | (/.f64 #s(approx (- (* wj wj) (pow (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) 2)) (*.f64 wj wj)) #s(approx (+ (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) wj) (neg.f64 x))) | |
| 80.5% | (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (fma.f64 (/.f64 x (-.f64 #s(literal -1 binary64) wj)) (exp.f64 (neg.f64 wj)) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))))) | |
| 4.8% | (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 #s(approx (+ (* -1 wj) -1) (neg.f64 wj)) (exp.f64 wj))))) | |
| ✓ | 73.5% | (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x #s(approx (* (+ (* -1 wj) -1) (exp wj)) (fma.f64 wj #s(literal -2 binary64) #s(literal -1 binary64)))))) |
| ✓ | 6.5% | (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))) |
| ✓ | 72.9% | (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x))) |
| 4.7% | (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(approx (/ wj (+ 1 wj)) (*.f64 (-.f64 #s(literal 1 binary64) wj) wj)))) | |
| ✓ | 4.1% | (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64))) |
| 87.8% | #s(approx (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))) (fma.f64 (*.f64 wj x) #s(literal -2 binary64) x)) | |
| 88.1% | #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)) | |
| ✓ | 96.5% | #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)) |
| 11.5% | #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))) | |
| ✓ | 11.0% | #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) #s(approx (* (- 1 wj) (* wj wj)) (*.f64 wj wj)))) |
Compiled 785 to 323 computations (58.9% saved)
| Inputs |
|---|
(-.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) #s(approx (* (- 1 wj) (* wj wj)) (*.f64 wj wj)))) |
(-.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)))) #s(approx (/ wj (+ 1 wj)) (*.f64 (-.f64 #s(literal 1 binary64) wj) 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 (*.f64 (-.f64 #s(literal 1 binary64) wj) wj) 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 (-.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)) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))) |
(/.f64 #s(approx (- (* wj wj) (pow (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) 2)) (*.f64 wj wj)) #s(approx (+ (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) wj) (neg.f64 x))) |
(/.f64 #s(approx (- (* wj wj) (pow (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) 2)) (*.f64 wj wj)) (+.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(approx (/ wj (+ wj 1)) #s(literal 1 binary64))) 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)) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x #s(approx (* (+ (* -1 wj) -1) (exp wj)) (fma.f64 wj #s(literal -2 binary64) #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) (fma.f64 (fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) (*.f64 wj x) x))) |
#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)) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 wj #s(literal 1 binary64)) 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 (/.f64 (fma.f64 wj wj #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) wj)) (*.f64 wj wj)))) |
(/.f64 #s(approx (- (* wj wj) (pow (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) 2)) (*.f64 wj wj)) (+.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) wj)) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (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)))) |
#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 (fma.f64 (neg.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))) #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) (*.f64 wj wj)) (+.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) 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) (fma.f64 wj wj (pow.f64 wj #s(literal 3 binary64))))) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 #s(approx (+ (* -1 wj) -1) (neg.f64 wj)) (exp.f64 wj))))) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 (fma.f64 #s(literal -1 binary64) wj #s(literal -1 binary64)) (exp.f64 wj))))) |
(-.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) (*.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))))) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (fma.f64 (/.f64 x (-.f64 #s(literal -1 binary64) wj)) (exp.f64 (neg.f64 wj)) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))))) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (fma.f64 (/.f64 wj (+.f64 wj #s(literal 1 binary64))) #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 wj #s(literal 1 binary64))) (neg.f64 (exp.f64 wj)))))) |
(/.f64 (-.f64 (*.f64 wj wj) (pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) #s(literal 2 binary64))) (+.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) wj)) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (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))) |
#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 (-.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))) (fma.f64 wj (fma.f64 x #s(literal 8/3 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))) wj (*.f64 #s(literal -2 binary64) x)) wj x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) wj) (-.f64 (*.f64 wj wj) (pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) #s(literal 2 binary64))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) wj)) (/.f64 (-.f64 (*.f64 (exp.f64 wj) wj) x) (exp.f64 wj)) wj) |
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 wj #s(literal 1 binary64))) (/.f64 (-.f64 (*.f64 (exp.f64 wj) wj) x) (exp.f64 wj)) wj) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(approx (exp wj) (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 (exp.f64 wj))) (-.f64 (*.f64 (exp.f64 wj) wj) x) 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 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) wj) (pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) #s(literal 2 binary64)))) (*.f64 (/.f64 (+.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) wj) (*.f64 wj wj)) #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) wj) (*.f64 wj wj)) (/.f64 (+.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) wj) (pow.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) #s(literal 2 binary64))))) |
(fma.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)) (neg.f64 (exp.f64 wj))) wj) |
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (exp.f64 wj) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 wj) wj) #s(literal 2 binary64)))) (/.f64 (-.f64 (*.f64 (exp.f64 wj) wj) x) (pow.f64 (*.f64 (fma.f64 #s(literal -1 binary64) wj #s(literal 1 binary64)) (exp.f64 wj)) #s(literal -1 binary64))) 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)))) (fma.f64 (/.f64 x (-.f64 #s(literal -1 binary64) wj)) (exp.f64 (neg.f64 wj)) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))))) |
3 calls:
| 35.0ms | (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) |
| 21.0ms | x |
| 20.0ms | wj |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.2% | 1 | wj |
| 97.2% | 1 | x |
| 99.1% | 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 |
|---|
(-.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) #s(approx (* (- 1 wj) (* wj wj)) (*.f64 wj wj)))) |
(-.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)))) #s(approx (/ wj (+ 1 wj)) (*.f64 (-.f64 #s(literal 1 binary64) wj) 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 (*.f64 (-.f64 #s(literal 1 binary64) wj) wj) 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 (-.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)) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))) |
(/.f64 #s(approx (- (* wj wj) (pow (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) 2)) (*.f64 wj wj)) #s(approx (+ (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) wj) (neg.f64 x))) |
(/.f64 #s(approx (- (* wj wj) (pow (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) 2)) (*.f64 wj wj)) (+.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(approx (/ wj (+ wj 1)) #s(literal 1 binary64))) 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)) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x #s(approx (* (+ (* -1 wj) -1) (exp wj)) (fma.f64 wj #s(literal -2 binary64) #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) (fma.f64 (fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) (*.f64 wj x) x))) |
#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)) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 wj #s(literal 1 binary64)) 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 (/.f64 (fma.f64 wj wj #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) wj)) (*.f64 wj wj)))) |
(/.f64 #s(approx (- (* wj wj) (pow (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) 2)) (*.f64 wj wj)) (+.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) wj)) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (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)))) |
#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 (fma.f64 (neg.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))) #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj))) (*.f64 wj wj)) (+.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) 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) (fma.f64 wj wj (pow.f64 wj #s(literal 3 binary64))))) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 #s(approx (+ (* -1 wj) -1) (neg.f64 wj)) (exp.f64 wj))))) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x (*.f64 (fma.f64 #s(literal -1 binary64) wj #s(literal -1 binary64)) (exp.f64 wj))))) |
(-.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) (*.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))))) |
| 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)) |
1 calls:
| 29.0ms | (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.2% | 1 | (-.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)
| Inputs |
|---|
(-.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) #s(approx (* (- 1 wj) (* wj wj)) (*.f64 wj wj)))) |
(-.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)))) #s(approx (/ wj (+ 1 wj)) (*.f64 (-.f64 #s(literal 1 binary64) wj) 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 (*.f64 (-.f64 #s(literal 1 binary64) wj) wj) 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 (-.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)) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))) |
(/.f64 #s(approx (- (* wj wj) (pow (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) 2)) (*.f64 wj wj)) #s(approx (+ (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) wj) (neg.f64 x))) |
(/.f64 #s(approx (- (* wj wj) (pow (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) 2)) (*.f64 wj wj)) (+.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(approx (/ wj (+ wj 1)) #s(literal 1 binary64))) 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)) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 x #s(approx (* (+ (* -1 wj) -1) (exp wj)) (fma.f64 wj #s(literal -2 binary64) #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) (fma.f64 (fma.f64 (fma.f64 #s(literal -8/3 binary64) wj #s(literal 5/2 binary64)) wj #s(literal -2 binary64)) (*.f64 wj x) x))) |
#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)) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 wj #s(literal 1 binary64)) 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 (/.f64 (fma.f64 wj wj #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) wj)) (*.f64 wj wj)))) |
(/.f64 #s(approx (- (* wj wj) (pow (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) 2)) (*.f64 wj wj)) (+.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 wj #s(literal 1 binary64)))) wj)) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (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)))) |
| 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)) |
3 calls:
| 31.0ms | x |
| 13.0ms | 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% | 1 | wj |
| 96.9% | 1 | x |
| 96.9% | 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 |
|---|
(-.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) #s(approx (* (- 1 wj) (* wj wj)) (*.f64 wj wj)))) |
(-.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)))) #s(approx (/ wj (+ 1 wj)) (*.f64 (-.f64 #s(literal 1 binary64) wj) 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 (*.f64 (-.f64 #s(literal 1 binary64) wj) wj) 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 (-.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)) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (/.f64 wj (+.f64 #s(literal 1 binary64) wj)))) |
(/.f64 #s(approx (- (* wj wj) (pow (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) 2)) (*.f64 wj wj)) #s(approx (+ (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) wj) (neg.f64 x))) |
(/.f64 #s(approx (- (* wj wj) (pow (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) 2)) (*.f64 wj wj)) (+.f64 #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(approx (/ wj (+ wj 1)) #s(literal 1 binary64))) 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)) |
3 calls:
| 9.0ms | x |
| 7.0ms | wj |
| 6.0ms | (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.5% | 1 | wj |
| 96.5% | 1 | x |
| 96.5% | 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)
| Inputs |
|---|
(-.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) #s(approx (* (- 1 wj) (* wj wj)) (*.f64 wj wj)))) |
(-.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)))) #s(approx (/ wj (+ 1 wj)) (*.f64 (-.f64 #s(literal 1 binary64) wj) 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 (*.f64 (-.f64 #s(literal 1 binary64) wj) wj) 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 (-.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)) |
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 |
|---|---|---|
| 87.8% | 1 | wj |
| 87.8% | 1 | (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) |
| 87.8% | 1 | x |
Compiled 18 to 12 computations (33.3% saved)
| Inputs |
|---|
(-.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) #s(approx (* (- 1 wj) (* wj wj)) (*.f64 wj wj)))) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x))) |
| Outputs |
|---|
(-.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))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) #s(approx (* (- 1 wj) (* wj wj)) (*.f64 wj wj)))) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x))) |
3 calls:
| 13.0ms | x |
| 12.0ms | (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) |
| 4.0ms | wj |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.7% | 3 | x |
| 72.9% | 1 | wj |
| 79.1% | 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 |
|---|
(-.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) #s(approx (* (- 1 wj) (* wj wj)) (*.f64 wj wj)))) |
| 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) #s(approx (* (- 1 wj) (* wj wj)) (*.f64 wj wj)))) |
3 calls:
| 3.0ms | wj |
| 3.0ms | x |
| 3.0ms | (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 11.0% | 1 | wj |
| 11.0% | 1 | x |
| 11.0% | 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 |
|---|
(-.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:
| 20.0ms | x |
| 3.0ms | wj |
| 2.0ms | (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 4.1% | 1 | wj |
| 4.1% | 1 | (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) |
| 4.1% | 1 | x |
Compiled 18 to 12 computations (33.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.235140486325893e-15 | 4.5471824844307716e-15 |
Compiled 19 to 13 computations (31.6% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 2.3046898867739246e-293 |
| 0.0ms | -4.8996366942360175e-230 | 0.0 |
Compiled 19 to 13 computations (31.6% saved)
| 1× | egg-herbie |
| 202× | distribute-lft-neg-in-binary64-*.f64-neg.f64 |
| 130× | neg-mul-1-binary64-*.f64-neg.f64 |
| 120× | neg-sub0-binary64--.f64-neg.f64 |
| 106× | distribute-neg-in-binary64-+.f64-neg.f64 |
| 94× | sub-neg-binary64-neg.f64-+.f64--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 84 | 452 |
| 1 | 113 | 452 |
| 2 | 145 | 452 |
| 3 | 170 | 452 |
| 4 | 204 | 452 |
| 5 | 241 | 452 |
| 6 | 277 | 452 |
| 7 | 313 | 452 |
| 8 | 356 | 452 |
| 9 | 422 | 452 |
| 10 | 505 | 452 |
| 11 | 584 | 452 |
| 12 | 658 | 452 |
| 13 | 736 | 452 |
| 14 | 747 | 452 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) #s(literal 2535301200456459/633825300114114700748351602688 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)))) (fma.f64 (/.f64 x (-.f64 #s(literal -1 binary64) wj)) (exp.f64 (neg.f64 wj)) (/.f64 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))))) (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))))) (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))))) (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 -8739899877464283/218497496936607064853048583478354175496839440705647678599864575975883972208808167719614290358159090999064327310325620422930884252602183354953346451122776638950446123565515229051718149272758321962318725648740732173736042431692028683588857933856768 binary64)) (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 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) #s(approx (* (- 1 wj) (* wj wj)) (*.f64 wj wj)))) (-.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))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) #s(approx (* (- 1 wj) (* wj wj)) (*.f64 wj wj)))) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64))) |
| Outputs |
|---|
(if (<=.f64 (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) #s(literal 2535301200456459/633825300114114700748351602688 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)))) (fma.f64 (/.f64 x (-.f64 #s(literal -1 binary64) wj)) (exp.f64 (neg.f64 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 2535301200456459/633825300114114700748351602688 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)))) (fma.f64 (/.f64 x (-.f64 #s(literal -1 binary64) wj)) (exp.f64 (neg.f64 wj)) (/.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)) |
#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))))) (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))))) (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)) |
(if (<=.f64 (-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))) #s(literal -8739899877464283/218497496936607064853048583478354175496839440705647678599864575975883972208808167719614290358159090999064327310325620422930884252602183354953346451122776638950446123565515229051718149272758321962318725648740732173736042431692028683588857933856768 binary64)) (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 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) #s(approx (* (- 1 wj) (* wj wj)) (*.f64 wj wj)))) (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 x))))) |
(if (<=.f64 (-.f64 wj (/.f64 (-.f64 (*.f64 (exp.f64 wj) wj) x) (+.f64 (*.f64 (exp.f64 wj) wj) (exp.f64 wj)))) #s(literal -8739899877464283/218497496936607064853048583478354175496839440705647678599864575975883972208808167719614290358159090999064327310325620422930884252602183354953346451122776638950446123565515229051718149272758321962318725648740732173736042431692028683588857933856768 binary64)) (-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) (neg.f64 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) #s(approx (* (- 1 wj) (* wj wj)) (*.f64 wj wj)))) (-.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))))) #s(approx (+ (* (+ (* (+ (* 5/2 x) (- 1 (* (+ (* 2/3 x) (+ (* 2 x) 1)) wj))) wj) (* -2 x)) wj) x) #s(approx (* (- 1 wj) (* wj wj)) (*.f64 wj wj)))) |
(-.f64 wj #s(approx (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj)))) #s(literal 1 binary64))) |
| 16 880× | lower-fma.f64 |
| 16 880× | lower-fma.f32 |
| 9 176× | lower-fma.f64 |
| 9 176× | lower-fma.f32 |
| 8 344× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 521 |
| 0 | 83 | 503 |
| 1 | 397 | 475 |
| 2 | 3696 | 475 |
| 0 | 9101 | 455 |
| 0 | 229 | 1279 |
| 1 | 703 | 1230 |
| 2 | 2140 | 1025 |
| 3 | 7956 | 962 |
| 0 | 8911 | 916 |
| 0 | 816 | 9904 |
| 1 | 2683 | 9561 |
| 0 | 8417 | 9072 |
| 0 | 527 | 5954 |
| 1 | 1681 | 5626 |
| 2 | 5126 | 5131 |
| 0 | 8162 | 4771 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 211 to 107 computations (49.3% saved)
Compiled 418 to 162 computations (61.2% saved)
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