
Time bar (total: 9.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 4 |
| 75% | 74.9% | 25% | 0.2% | 0% | 0% | 0% | 5 |
| 75% | 74.9% | 25% | 0.2% | 0% | 0% | 0% | 6 |
| 75% | 74.9% | 25% | 0.2% | 0% | 0% | 0% | 7 |
| 87.5% | 87.3% | 12.5% | 0.2% | 0% | 0% | 0% | 8 |
| 93.8% | 93.6% | 6.2% | 0.2% | 0% | 0% | 0% | 9 |
| 93.8% | 93.6% | 6.2% | 0.2% | 0% | 0% | 0% | 10 |
| 93.8% | 93.6% | 6.2% | 0.2% | 0% | 0% | 0% | 11 |
| 96.9% | 96.7% | 3.1% | 0.2% | 0% | 0% | 0% | 12 |
Compiled 17 to 13 computations (23.5% saved)
| 575.0ms | 8 256× | 0 | valid |
ival-mult: 222.0ms (61.7% of total)ival-sub: 46.0ms (12.8% of total)ival-div: 46.0ms (12.8% of total)ival-add: 38.0ms (10.6% of total)ival-true: 5.0ms (1.4% of total)ival-assert: 3.0ms (0.8% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 108 | 1 | (9.084662707509138e-87 -5.962856673438223e-47 7.858334655484895e+276 -1.6383635139730752e+72) | 1 | (-1.4110974812468823e-264 -4.5254020233713894e+148 1.835822639948003e-218 -1.5256160026328115e-161) | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 1 | 0 | - | 0 | - | (-.f64 (*.f64 b c) (*.f64 a d)) |
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 c c) (*.f64 d d)) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | d |
| 0 | 0 | - | 0 | - | (*.f64 d d) |
| 0 | 0 | - | 0 | - | (*.f64 c c) |
| 0 | 0 | - | 0 | - | (*.f64 b c) |
| 0 | 0 | - | 0 | - | c |
| 0 | 0 | - | 0 | - | (*.f64 a d) |
| 0 | 0 | - | 0 | - | b |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) | o/o | 48 | 0 |
| ↳ | (*.f64 b c) | overflow | 34 | |
| ↳ | (-.f64 (*.f64 b c) (*.f64 a d)) | overflow | 60 | |
| ↳ | (*.f64 a d) | overflow | 31 | |
| ↳ | (+.f64 (*.f64 c c) (*.f64 d d)) | overflow | 113 | |
| ↳ | (*.f64 c c) | overflow | 64 | |
| ↳ | (*.f64 d d) | overflow | 72 | |
/.f64 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) | n/o | 39 | 0 |
| ↳ | (+.f64 (*.f64 c c) (*.f64 d d)) | overflow | 113 | |
| ↳ | (*.f64 c c) | overflow | 64 | |
| ↳ | (*.f64 d d) | overflow | 72 | |
/.f64 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) | o/n | 12 | 0 |
| ↳ | (*.f64 b c) | overflow | 34 | |
| ↳ | (-.f64 (*.f64 b c) (*.f64 a d)) | overflow | 60 | |
| ↳ | (*.f64 a d) | overflow | 31 | |
/.f64 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) | n/u | 7 | 0 |
| ↳ | (+.f64 (*.f64 c c) (*.f64 d d)) | underflow | 19 | |
| ↳ | (*.f64 c c) | underflow | 67 | |
| ↳ | (*.f64 d d) | underflow | 57 | |
/.f64 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) | u/u | 2 | 0 |
| ↳ | (*.f64 b c) | underflow | 33 | |
| ↳ | (-.f64 (*.f64 b c) (*.f64 a d)) | underflow | 2 | |
| ↳ | (*.f64 a d) | underflow | 29 | |
| ↳ | (+.f64 (*.f64 c c) (*.f64 d d)) | underflow | 19 | |
| ↳ | (*.f64 c c) | underflow | 67 | |
| ↳ | (*.f64 d d) | underflow | 57 | |
-.f64 | (-.f64 (*.f64 b c) (*.f64 a d)) | nan-rescue | 1 | 0 |
| ↳ | (*.f64 b c) | overflow | 34 | |
| ↳ | (*.f64 a d) | overflow | 31 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 107 | 1 |
| - | 1 | 147 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 107 | 0 | 1 |
| - | 1 | 0 | 147 |
| number | freq |
|---|---|
| 0 | 148 |
| 1 | 107 |
| 2 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 44.0ms | 512× | 0 | valid |
Compiled 109 to 37 computations (66.1% saved)
ival-mult: 13.0ms (62% of total)ival-div: 3.0ms (14.3% of total)ival-sub: 2.0ms (9.5% of total)ival-add: 2.0ms (9.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 1 350× | unsub-neg |
| 982× | div-sub |
| 876× | distribute-rgt-in |
| 874× | distribute-lft-in |
| 752× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 214 |
| 1 | 202 | 214 |
| 2 | 402 | 214 |
| 3 | 976 | 214 |
| 4 | 2796 | 214 |
| 5 | 4580 | 214 |
| 6 | 5390 | 214 |
| 7 | 5495 | 214 |
| 8 | 5515 | 214 |
| 9 | 5531 | 214 |
| 10 | 5531 | 214 |
| 11 | 5995 | 214 |
| 12 | 6203 | 214 |
| 13 | 6203 | 214 |
| 14 | 6203 | 214 |
| 15 | 6299 | 214 |
| 16 | 6299 | 214 |
| 17 | 6371 | 214 |
| 18 | 6403 | 214 |
| 19 | 6403 | 214 |
| 20 | 6403 | 214 |
| 0 | 11 | 15 |
| 0 | 18 | 15 |
| 1 | 29 | 15 |
| 2 | 51 | 15 |
| 3 | 81 | 15 |
| 4 | 140 | 15 |
| 5 | 239 | 15 |
| 6 | 382 | 15 |
| 7 | 630 | 15 |
| 8 | 1092 | 15 |
| 9 | 1766 | 15 |
| 10 | 2007 | 15 |
| 11 | 2047 | 15 |
| 12 | 2075 | 15 |
| 13 | 2075 | 15 |
| 0 | 2075 | 14 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 (fma.f64 (neg.f64 a) d (*.f64 c b)) (fma.f64 d d (*.f64 c c))) |
Compiled 15 to 11 computations (26.7% saved)
Compiled 0 to 4 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 59.4% | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
Compiled 15 to 11 computations (26.7% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 b c) | |
| cost-diff | 0 | (-.f64 (*.f64 b c) (*.f64 a d)) | |
| cost-diff | 0 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) | |
| cost-diff | 128 | (+.f64 (*.f64 c c) (*.f64 d d)) |
| 752× | lower-fma.f64 |
| 752× | lower-fma.f32 |
| 636× | times-frac |
| 512× | lower-*.f32 |
| 504× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 45 |
| 0 | 18 | 45 |
| 1 | 29 | 45 |
| 2 | 51 | 45 |
| 3 | 81 | 45 |
| 4 | 140 | 45 |
| 5 | 239 | 45 |
| 6 | 382 | 45 |
| 7 | 630 | 45 |
| 8 | 1092 | 45 |
| 9 | 1766 | 45 |
| 10 | 2007 | 45 |
| 11 | 2047 | 45 |
| 12 | 2075 | 45 |
| 13 | 2075 | 45 |
| 0 | 2075 | 43 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(-.f64 (*.f64 b c) (*.f64 a d)) |
(*.f64 b c) |
b |
c |
(*.f64 a d) |
a |
d |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(*.f64 c c) |
(*.f64 d d) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 (fma.f64 (neg.f64 a) d (*.f64 c b)) (fma.f64 d d (*.f64 c c))) |
(-.f64 (*.f64 b c) (*.f64 a d)) |
(fma.f64 (neg.f64 a) d (*.f64 c b)) |
(*.f64 b c) |
(*.f64 c b) |
b |
c |
(*.f64 a d) |
(*.f64 d a) |
a |
d |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(fma.f64 d d (*.f64 c c)) |
(*.f64 c c) |
(*.f64 d d) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 a d) | |
| accuracy | 0.00390625 | (+.f64 (*.f64 c c) (*.f64 d d)) | |
| accuracy | 0.2539041858302058 | (-.f64 (*.f64 b c) (*.f64 a d)) | |
| accuracy | 25.772672316608233 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 19.0ms | 256× | 0 | valid |
Compiled 47 to 13 computations (72.3% saved)
ival-mult: 6.0ms (58.8% of total)ival-sub: 1.0ms (9.8% of total)ival-div: 1.0ms (9.8% of total)ival-add: 1.0ms (9.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ()) |
#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ()) |
#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (pow d 2) (taylor 0 c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a d)) (taylor 0 c) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (- (* b c) (* a d)) (taylor 0 c) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (- (* b c) (* a d)) (taylor 0 c) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (- (* b c) (* a d)) (taylor 0 c) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* b c) (taylor 0 c) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (* b c) (taylor 0 c) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (* b c) (taylor 0 c) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (* b c) (taylor 0 c) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (pow c 2) (taylor inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor inf c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ b (* -1 (/ (* a d) c))) c) (taylor inf c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) (taylor inf c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) (taylor inf c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* b c) (taylor inf c) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ b (* -1 (/ (* a d) c)))) (taylor inf c) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ b (* -1 (/ (* a d) c)))) (taylor inf c) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ b (* -1 (/ (* a d) c)))) (taylor inf c) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* b c) (taylor inf c) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (* b c) (taylor inf c) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (* b c) (taylor inf c) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (* b c) (taylor inf c) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (pow c 2) (taylor -inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor -inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor -inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor -inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor -inf c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) (taylor -inf c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) (taylor -inf c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) (taylor -inf c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* b c) (taylor -inf c) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 b) (/ (* a d) c)))) (taylor -inf c) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 b) (/ (* a d) c)))) (taylor -inf c) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
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#s(alt (* a d) (taylor 0 d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor 0 d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor 0 d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor 0 d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (pow d 2) (taylor inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor inf d) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 a) (/ (* b c) d)) d) (taylor inf d) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) (taylor inf d) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) (taylor inf d) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a d)) (taylor inf d) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* d (- (/ (* b c) d) a)) (taylor inf d) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* d (- (/ (* b c) d) a)) (taylor inf d) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* d (- (/ (* b c) d) a)) (taylor inf d) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (pow d 2) (taylor -inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor -inf d) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) (taylor -inf d) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) (taylor -inf d) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) (taylor -inf d) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a d)) (taylor -inf d) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) (taylor -inf d) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) (taylor -inf d) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) (taylor -inf d) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor -inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor -inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor -inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor -inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | d | @ | inf | ((+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (* a d)) |
| 1.0ms | b | @ | inf | ((+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (* a d)) |
| 1.0ms | c | @ | inf | ((+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (* a d)) |
| 1.0ms | c | @ | 0 | ((+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (* a d)) |
| 1.0ms | c | @ | -inf | ((+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (* a d)) |
| 1× | egg-herbie |
| 7 930× | lower-fma.f64 |
| 7 930× | lower-fma.f32 |
| 3 586× | lower-*.f64 |
| 3 586× | lower-*.f32 |
| 2 316× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 191 | 1511 |
| 1 | 623 | 1461 |
| 2 | 1861 | 1441 |
| 3 | 5489 | 1432 |
| 0 | 8501 | 1356 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow d 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(* -1 (* a d)) |
(- (* b c) (* a d)) |
(- (* b c) (* a d)) |
(- (* b c) (* a d)) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(* b c) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) |
(* b c) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a d)) |
(- (* b c) (* a d)) |
(- (* b c) (* a d)) |
(- (* b c) (* a d)) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b c) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* b c) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* b c) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a d)) |
(* a (- (/ (* b c) a) d)) |
(* a (- (/ (* b c) a) d)) |
(* a (- (/ (* b c) a) d)) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a d)) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(pow c 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(* b c) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(* -1 (* a d)) |
(* d (- (/ (* b c) d) a)) |
(* d (- (/ (* b c) d) a)) |
(* d (- (/ (* b c) d) a)) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(* -1 (* a d)) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
| Outputs |
|---|
(pow d 2) |
(*.f64 d d) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(/.f64 (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) d) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) (neg.f64 b) (/.f64 a (pow.f64 d #s(literal 3 binary64)))) c (/.f64 b (*.f64 d d))) c (/.f64 (neg.f64 a) d)) |
(* -1 (* a d)) |
(*.f64 (neg.f64 a) d) |
(- (* b c) (* a d)) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(- (* b c) (* a d)) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(- (* b c) (* a d)) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(pow c 2) |
(*.f64 c c) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(fma.f64 c c (*.f64 d d)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(fma.f64 c c (*.f64 d d)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(fma.f64 c c (*.f64 d d)) |
(/ b c) |
(/.f64 b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/.f64 (-.f64 b (/.f64 (fma.f64 a d (/.f64 (*.f64 b (*.f64 d d)) c)) c)) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(/.f64 (fma.f64 (pow.f64 (/.f64 d c) #s(literal 3 binary64)) a (-.f64 b (/.f64 (fma.f64 a d (/.f64 (*.f64 b (*.f64 d d)) c)) c))) c) |
(* b c) |
(*.f64 b c) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(pow c 2) |
(*.f64 c c) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(fma.f64 c c (*.f64 d d)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(fma.f64 c c (*.f64 d d)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(fma.f64 c c (*.f64 d d)) |
(/ b c) |
(/.f64 b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(/.f64 (-.f64 b (/.f64 (fma.f64 a d (/.f64 (*.f64 b (*.f64 d d)) c)) c)) c) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) |
(/.f64 (fma.f64 (pow.f64 (/.f64 d c) #s(literal 3 binary64)) a (-.f64 b (/.f64 (fma.f64 a d (/.f64 (*.f64 b (*.f64 d d)) c)) c))) c) |
(* b c) |
(*.f64 b c) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(* -1 (* a d)) |
(*.f64 (neg.f64 a) d) |
(- (* b c) (* a d)) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(- (* b c) (* a d)) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(- (* b c) (* a d)) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(* b c) |
(*.f64 b c) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(* b c) |
(*.f64 b c) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(* b c) |
(*.f64 b c) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) a) c (/.f64 (neg.f64 d) (fma.f64 c c (*.f64 d d)))) a) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) a) c (/.f64 (neg.f64 d) (fma.f64 c c (*.f64 d d)))) a) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) a) c (/.f64 (neg.f64 d) (fma.f64 c c (*.f64 d d)))) a) |
(* -1 (* a d)) |
(*.f64 (neg.f64 a) d) |
(* a (- (/ (* b c) a) d)) |
(*.f64 (-.f64 (/.f64 (*.f64 b c) a) d) a) |
(* a (- (/ (* b c) a) d)) |
(*.f64 (-.f64 (/.f64 (*.f64 b c) a) d) a) |
(* a (- (/ (* b c) a) d)) |
(*.f64 (-.f64 (/.f64 (*.f64 b c) a) d) a) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) a) c (/.f64 (neg.f64 d) (fma.f64 c c (*.f64 d d)))) a) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) a) c (/.f64 (neg.f64 d) (fma.f64 c c (*.f64 d d)))) a) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) a) c (/.f64 (neg.f64 d) (fma.f64 c c (*.f64 d d)))) a) |
(* -1 (* a d)) |
(*.f64 (neg.f64 a) d) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(*.f64 (-.f64 (/.f64 (*.f64 b c) a) d) a) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(*.f64 (-.f64 (/.f64 (*.f64 b c) a) d) a) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(*.f64 (-.f64 (/.f64 (*.f64 b c) a) d) a) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(pow c 2) |
(*.f64 c c) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(/ b c) |
(/.f64 b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(/.f64 (-.f64 b (/.f64 (fma.f64 a d (/.f64 (*.f64 b (*.f64 d d)) c)) c)) c) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 a (pow.f64 c #s(literal 4 binary64))) d) (/.f64 b (pow.f64 c #s(literal 3 binary64)))) d (/.f64 (/.f64 (neg.f64 a) c) c)) d (/.f64 b c)) |
(* b c) |
(*.f64 b c) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(pow d 2) |
(*.f64 d d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(fma.f64 c c (*.f64 d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(fma.f64 c c (*.f64 d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(fma.f64 c c (*.f64 d d)) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/.f64 (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(/.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) d) |
(* -1 (* a d)) |
(*.f64 (neg.f64 a) d) |
(* d (- (/ (* b c) d) a)) |
(*.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) |
(* d (- (/ (* b c) d) a)) |
(*.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) |
(* d (- (/ (* b c) d) a)) |
(*.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(pow d 2) |
(*.f64 d d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(fma.f64 c c (*.f64 d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(fma.f64 c c (*.f64 d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(fma.f64 c c (*.f64 d d)) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(/.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) d) |
(* -1 (* a d)) |
(*.f64 (neg.f64 a) d) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(*.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(*.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(*.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
| 5 586× | lower-fma.f64 |
| 5 586× | lower-fma.f32 |
| 5 346× | lower-*.f32 |
| 5 338× | lower-*.f64 |
| 3 234× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 35 |
| 0 | 18 | 35 |
| 1 | 65 | 35 |
| 2 | 505 | 35 |
| 3 | 6376 | 35 |
| 0 | 8178 | 33 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 c c) (*.f64 d d)) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(-.f64 (*.f64 b c) (*.f64 a d)) |
(*.f64 b c) |
(*.f64 a d) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (-.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (fma.f64 (*.f64 d d) (fma.f64 d d (*.f64 c c)) (pow.f64 c #s(literal 4 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))) (-.f64 (pow.f64 c #s(literal 8 binary64)) (pow.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) #s(literal 2 binary64)))) (-.f64 (pow.f64 c #s(literal 4 binary64)) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))) (+.f64 (pow.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 c #s(literal 12 binary64)))) (fma.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (-.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))) (pow.f64 c #s(literal 8 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (fma.f64 d d (*.f64 c c))) |
(*.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (+.f64 d c)) (+.f64 d c)) |
(*.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (pow.f64 (*.f64 (+.f64 d c) (-.f64 d c)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (-.f64 c d) (+.f64 d c)) #s(literal -1 binary64)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) |
(*.f64 (pow.f64 (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (pow.f64 (neg.f64 (*.f64 (-.f64 c d) (+.f64 d c))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (pow.f64 (neg.f64 (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64)))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
(*.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (pow.f64 (*.f64 (-.f64 c d) (+.f64 d c)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (pow.f64 (*.f64 (-.f64 c d) (+.f64 d c)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) |
(*.f64 (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))) (*.f64 (fma.f64 d d (*.f64 c c)) (pow.f64 (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(*.f64 (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))) (/.f64 (fma.f64 d d (*.f64 c c)) (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))))) |
(*.f64 (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))) (/.f64 (pow.f64 (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (*.f64 (-.f64 c d) (+.f64 d c)) (pow.f64 (*.f64 (-.f64 c d) (+.f64 d c)) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 d d (*.f64 c c)) (/.f64 (*.f64 (-.f64 c d) (+.f64 d c)) (*.f64 (-.f64 c d) (+.f64 d c)))) |
(*.f64 (fma.f64 d d (*.f64 c c)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal 1 binary64)) |
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(fma.f64 (neg.f64 d) a (*.f64 b c)) |
(fma.f64 (*.f64 b b) (/.f64 (*.f64 c c) (fma.f64 a d (*.f64 b c))) (neg.f64 (/.f64 (pow.f64 (*.f64 a d) #s(literal 2 binary64)) (fma.f64 a d (*.f64 b c))))) |
(fma.f64 (pow.f64 (*.f64 b c) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 b c) #s(literal 3/2 binary64)) (fma.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d) (pow.f64 (*.f64 b c) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 a d) #s(literal 3 binary64)) (fma.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d) (pow.f64 (*.f64 b c) #s(literal 2 binary64)))))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (fma.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d) (pow.f64 (*.f64 b c) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 a d) #s(literal 3 binary64)) (fma.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d) (pow.f64 (*.f64 b c) #s(literal 2 binary64)))))) |
(fma.f64 (pow.f64 c #s(literal 3 binary64)) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d) (pow.f64 (*.f64 b c) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 a d) #s(literal 3 binary64)) (fma.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d) (pow.f64 (*.f64 b c) #s(literal 2 binary64)))))) |
(fma.f64 #s(literal -1 binary64) (*.f64 a d) (*.f64 b c)) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(fma.f64 (pow.f64 (*.f64 b c) #s(literal 2 binary64)) (/.f64 (*.f64 b c) (fma.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d) (pow.f64 (*.f64 b c) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 a d) #s(literal 3 binary64)) (fma.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d) (pow.f64 (*.f64 b c) #s(literal 2 binary64)))))) |
(fma.f64 (pow.f64 (*.f64 b c) #s(literal 2 binary64)) (pow.f64 (fma.f64 a d (*.f64 b c)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 a d) #s(literal 2 binary64)) (fma.f64 a d (*.f64 b c))))) |
(fma.f64 (pow.f64 (*.f64 b c) #s(literal 3 binary64)) (pow.f64 (fma.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d) (pow.f64 (*.f64 b c) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 a d) #s(literal 3 binary64)) (fma.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d) (pow.f64 (*.f64 b c) #s(literal 2 binary64)))))) |
(fma.f64 (*.f64 a d) #s(literal -1 binary64) (*.f64 b c)) |
(fma.f64 a (neg.f64 d) (*.f64 b c)) |
(fma.f64 (*.f64 b c) (/.f64 (pow.f64 (*.f64 b c) #s(literal 2 binary64)) (fma.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d) (pow.f64 (*.f64 b c) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 a d) #s(literal 3 binary64)) (fma.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d) (pow.f64 (*.f64 b c) #s(literal 2 binary64)))))) |
(fma.f64 (*.f64 b c) (/.f64 (*.f64 b c) (fma.f64 a d (*.f64 b c))) (neg.f64 (/.f64 (pow.f64 (*.f64 a d) #s(literal 2 binary64)) (fma.f64 a d (*.f64 b c))))) |
(fma.f64 b (/.f64 (*.f64 (*.f64 b c) c) (fma.f64 a d (*.f64 b c))) (neg.f64 (/.f64 (pow.f64 (*.f64 a d) #s(literal 2 binary64)) (fma.f64 a d (*.f64 b c))))) |
(fma.f64 b c (*.f64 (neg.f64 d) a)) |
(fma.f64 d (neg.f64 a) (*.f64 b c)) |
(fma.f64 (*.f64 c c) (/.f64 (*.f64 b b) (fma.f64 a d (*.f64 b c))) (neg.f64 (/.f64 (pow.f64 (*.f64 a d) #s(literal 2 binary64)) (fma.f64 a d (*.f64 b c))))) |
(fma.f64 c (/.f64 (*.f64 (*.f64 b b) c) (fma.f64 a d (*.f64 b c))) (neg.f64 (/.f64 (pow.f64 (*.f64 a d) #s(literal 2 binary64)) (fma.f64 a d (*.f64 b c))))) |
(fma.f64 c b (*.f64 (neg.f64 d) a)) |
(-.f64 (fma.f64 b c #s(literal 0 binary64)) (*.f64 a d)) |
(-.f64 (/.f64 (pow.f64 (*.f64 b c) #s(literal 2 binary64)) (fma.f64 a d (*.f64 b c))) (/.f64 (pow.f64 (*.f64 a d) #s(literal 2 binary64)) (fma.f64 a d (*.f64 b c)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 b c) #s(literal 3 binary64)) (fma.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d) (pow.f64 (*.f64 b c) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 a d) #s(literal 3 binary64)) (fma.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d) (pow.f64 (*.f64 b c) #s(literal 2 binary64))))) |
(-.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d))) |
(-.f64 (*.f64 b c) (*.f64 a d)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (neg.f64 (*.f64 (neg.f64 b) c)) (*.f64 (neg.f64 d) a)) |
(+.f64 (/.f64 (pow.f64 (*.f64 b c) #s(literal 2 binary64)) (fma.f64 a d (*.f64 b c))) (neg.f64 (/.f64 (pow.f64 (*.f64 a d) #s(literal 2 binary64)) (fma.f64 a d (*.f64 b c))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 b c) #s(literal 3 binary64)) (fma.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d) (pow.f64 (*.f64 b c) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 a d) #s(literal 3 binary64)) (fma.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d) (pow.f64 (*.f64 b c) #s(literal 2 binary64)))))) |
(+.f64 (*.f64 (neg.f64 d) a) (*.f64 b c)) |
(+.f64 (*.f64 b c) (*.f64 (neg.f64 d) a)) |
(*.f64 b c) |
(*.f64 c b) |
(*.f64 (neg.f64 (neg.f64 d)) a) |
(*.f64 (neg.f64 (neg.f64 a)) d) |
(*.f64 (neg.f64 d) (neg.f64 a)) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 d) a)) |
(*.f64 (neg.f64 a) (neg.f64 d)) |
(*.f64 #s(literal 1 binary64) (*.f64 a d)) |
(*.f64 a (neg.f64 (neg.f64 d))) |
(*.f64 a d) |
(*.f64 d (neg.f64 (neg.f64 a))) |
(*.f64 d a) |
(neg.f64 (*.f64 (neg.f64 d) a)) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 d) a)) |
Compiled 18 441 to 1 350 computations (92.7% saved)
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 633 | 13 | 646 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 634 | 13 | 647 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 59.4% | (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) |
| 37.9% | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| 33.6% | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| 22.5% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) (fma.f64 a d (*.f64 b c))) (-.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 d d (*.f64 c c)) b) c) #s(literal -2 binary64)) (pow.f64 (/.f64 (/.f64 (fma.f64 d d (*.f64 c c)) a) d) #s(literal -2 binary64))))) | |
| 59.3% | (*.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c)))) | |
| 36.5% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 a (pow.f64 c #s(literal 4 binary64))) d) (/.f64 b (pow.f64 c #s(literal 3 binary64)))) d (/.f64 (/.f64 (neg.f64 a) c) c)) d (/.f64 b c))) | |
| ▶ | 53.4% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) d)) |
| 57.1% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) | |
| ▶ | 50.5% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
| 43.2% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) | |
| ▶ | 41.3% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
| 41.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) | |
| ▶ | 38.7% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
Compiled 400 to 296 computations (26% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) d) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) d)) | |
| cost-diff | 7232 | (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) | |
| cost-diff | 0 | (/.f64 (*.f64 a d) c) | |
| cost-diff | 0 | (-.f64 b (/.f64 (*.f64 a d) c)) | |
| cost-diff | 0 | (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) | |
| cost-diff | 0 | (/.f64 d (fma.f64 c c (*.f64 d d))) | |
| cost-diff | 0 | (neg.f64 a) | |
| cost-diff | 0 | (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) | |
| cost-diff | 0 | (/.f64 b c) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) | |
| cost-diff | 0 | (*.f64 b c) | |
| cost-diff | 0 | (neg.f64 d) | |
| cost-diff | 0 | (fma.f64 (neg.f64 d) a (*.f64 b c)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) |
| 16 930× | lower-fma.f32 |
| 16 920× | lower-fma.f64 |
| 4 536× | lower-*.f32 |
| 4 524× | lower-*.f64 |
| 1 892× | lower--.f32 |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 302 |
| 0 | 66 | 302 |
| 1 | 111 | 302 |
| 2 | 201 | 302 |
| 3 | 494 | 302 |
| 4 | 1355 | 302 |
| 5 | 3498 | 290 |
| 6 | 5171 | 287 |
| 0 | 8041 | 287 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) |
(fma.f64 (neg.f64 d) a (*.f64 b c)) |
(neg.f64 d) |
d |
a |
(*.f64 b c) |
b |
c |
(fma.f64 d d (*.f64 c c)) |
(*.f64 c c) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
(/.f64 b c) |
b |
c |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))) |
(neg.f64 a) |
a |
(/.f64 d (fma.f64 c c (*.f64 d d))) |
d |
(fma.f64 c c (*.f64 d d)) |
c |
(*.f64 d d) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
(/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) |
(-.f64 b (/.f64 (*.f64 a d) c)) |
b |
(/.f64 (*.f64 a d) c) |
(*.f64 a d) |
a |
d |
c |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) d)) |
(/.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) d) |
(fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) |
(fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) |
(/.f64 (/.f64 c d) d) |
(/.f64 c d) |
c |
d |
#s(literal -1 binary64) |
a |
(*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64)))) |
b |
(-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) |
(pow.f64 (/.f64 c d) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
| Outputs |
|---|
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) |
(/.f64 (fma.f64 a (neg.f64 d) (*.f64 c b)) (fma.f64 c c (*.f64 d d))) |
(fma.f64 (neg.f64 d) a (*.f64 b c)) |
(fma.f64 a (neg.f64 d) (*.f64 c b)) |
(neg.f64 d) |
d |
a |
(*.f64 b c) |
(*.f64 c b) |
b |
c |
(fma.f64 d d (*.f64 c c)) |
(fma.f64 c c (*.f64 d d)) |
(*.f64 c c) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
(/.f64 b c) |
b |
c |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) (neg.f64 d))) |
(*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))) |
(*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) (neg.f64 d)) |
(neg.f64 a) |
a |
(/.f64 d (fma.f64 c c (*.f64 d d))) |
d |
(fma.f64 c c (*.f64 d d)) |
c |
(*.f64 d d) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
(/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) |
(-.f64 b (/.f64 (*.f64 a d) c)) |
b |
(/.f64 (*.f64 a d) c) |
(*.f64 a d) |
a |
d |
c |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 b) d) c a) (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64))) d)) |
(/.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) d) |
(/.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 b) d) c a) (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64))) d) |
(fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) |
(*.f64 (fma.f64 (/.f64 (neg.f64 b) d) c a) (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64))) |
(fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) |
(/.f64 (/.f64 c d) d) |
(/.f64 c d) |
c |
d |
#s(literal -1 binary64) |
a |
(*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64)))) |
(*.f64 (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) b) |
b |
(-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) |
(pow.f64 (/.f64 c d) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 3.7486216347800974 | (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64)))) | |
| accuracy | 4.9570168008114415 | (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) | |
| accuracy | 6.8085600350586475 | (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) | |
| accuracy | 29.70333802761627 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) d)) | |
| accuracy | 0.01171875 | (-.f64 b (/.f64 (*.f64 a d) c)) | |
| accuracy | 0.7783689338567299 | (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) | |
| accuracy | 3.6344676770704427 | (/.f64 (*.f64 a d) c) | |
| accuracy | 30.035337095685527 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) | |
| accuracy | 0.00390625 | (fma.f64 c c (*.f64 d d)) | |
| accuracy | 3.488327287626162 | (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))) | |
| accuracy | 21.438450060809195 | (/.f64 d (fma.f64 c c (*.f64 d d))) | |
| accuracy | 28.397425578679268 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) | |
| accuracy | 0 | (/.f64 b c) | |
| accuracy | 37.57918406839717 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) | |
| accuracy | 0 | (*.f64 c c) | |
| accuracy | 0 | (*.f64 b c) | |
| accuracy | 0 | (neg.f64 d) | |
| accuracy | 25.772672316608233 | (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) |
| 268.0ms | 256× | 0 | valid |
Compiled 270 to 37 computations (86.3% saved)
ival-mult: 221.0ms (88.8% of total)ival-div: 13.0ms (5.2% of total)ival-add: 5.0ms (2% of total)ival-pow: 4.0ms (1.6% of total)ival-sub: 3.0ms (1.2% of total)ival-neg: 2.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) (patch (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ()) |
#s(alt (neg.f64 d) (patch (neg.f64 d) #<representation binary64>) () ()) |
#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) #<representation binary64>) () ()) |
#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))) (patch (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))) #<representation binary64>) () ()) |
#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ()) |
#s(alt (/.f64 d (fma.f64 c c (*.f64 d d))) (patch (/.f64 d (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) (patch (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) #<representation binary64>) () ()) |
#s(alt (-.f64 b (/.f64 (*.f64 a d) c)) (patch (-.f64 b (/.f64 (*.f64 a d) c)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 a d) c) (patch (/.f64 (*.f64 a d) c) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) (patch (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) d)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) d) (patch (/.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) d) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) (patch (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 c c) (patch (*.f64 c c) #<representation binary64>) () ()) |
#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) (patch (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64)))) (patch (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64)))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) (patch (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) (patch (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) (patch (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) (patch (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a d)) (taylor 0 c) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* a d)) (* b c)) (taylor 0 c) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* a d)) (* b c)) (taylor 0 c) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* a d)) (* b c)) (taylor 0 c) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (* b c) (taylor 0 c) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (* b c) (taylor 0 c) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (* b c) (taylor 0 c) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (* b c) (taylor 0 c) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor 0 c) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor 0 c) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor 0 c) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor 0 c) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))) (patch (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* a (pow c 2)) (pow d 3))) (taylor 0 c) (#s(alt (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))) (patch (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* (pow c 2) (+ (* -1 (/ (* a (pow c 2)) (pow d 5))) (/ a (pow d 3))))) (taylor 0 c) (#s(alt (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))) (patch (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* (pow c 2) (+ (* (pow c 2) (+ (* -1 (/ a (pow d 5))) (/ (* a (pow c 2)) (pow d 7)))) (/ a (pow d 3))))) (taylor 0 c) (#s(alt (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))) (patch (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 d) (taylor 0 c) (#s(alt (/.f64 d (fma.f64 c c (*.f64 d d))) (patch (/.f64 d (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d)) (taylor 0 c) (#s(alt (/.f64 d (fma.f64 c c (*.f64 d d))) (patch (/.f64 d (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow c 2) (- (/ (pow c 2) (pow d 5)) (/ 1 (pow d 3)))) (/ 1 d)) (taylor 0 c) (#s(alt (/.f64 d (fma.f64 c c (*.f64 d d))) (patch (/.f64 d (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 7))) (/ 1 (pow d 5)))) (/ 1 (pow d 3)))) (/ 1 d)) (taylor 0 c) (#s(alt (/.f64 d (fma.f64 c c (*.f64 d d))) (patch (/.f64 d (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) (pow c 2))) (taylor 0 c) (#s(alt (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) (patch (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) (taylor 0 c) (#s(alt (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) (patch (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) (taylor 0 c) (#s(alt (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) (patch (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) (taylor 0 c) (#s(alt (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) (patch (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) c)) (taylor 0 c) (#s(alt (-.f64 b (/.f64 (*.f64 a d) c)) (patch (-.f64 b (/.f64 (*.f64 a d) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* b c) (* a d)) c) (taylor 0 c) (#s(alt (-.f64 b (/.f64 (*.f64 a d) c)) (patch (-.f64 b (/.f64 (*.f64 a d) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* b c) (* a d)) c) (taylor 0 c) (#s(alt (-.f64 b (/.f64 (*.f64 a d) c)) (patch (-.f64 b (/.f64 (*.f64 a d) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* b c) (* a d)) c) (taylor 0 c) (#s(alt (-.f64 b (/.f64 (*.f64 a d) c)) (patch (-.f64 b (/.f64 (*.f64 a d) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor 0 c) (#s(alt (/.f64 (*.f64 a d) c) (patch (/.f64 (*.f64 a d) c) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor 0 c) (#s(alt (/.f64 (*.f64 a d) c) (patch (/.f64 (*.f64 a d) c) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor 0 c) (#s(alt (/.f64 (*.f64 a d) c) (patch (/.f64 (*.f64 a d) c) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor 0 c) (#s(alt (/.f64 (*.f64 a d) c) (patch (/.f64 (*.f64 a d) c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 a) (taylor 0 c) (#s(alt (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) (patch (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 a) (/ (* b c) d)) (taylor 0 c) (#s(alt (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) (patch (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 a) (* c (+ (/ b d) (/ (* a c) (pow d 2))))) (taylor 0 c) (#s(alt (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) (patch (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 a) (* c (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)))) (taylor 0 c) (#s(alt (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) (patch (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ (- (/ (pow c 6) (pow d 6)) (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (pow c 4) (pow d 4))))) d)) (taylor -inf d) (#s(alt (/.f64 d (fma.f64 c c (*.f64 d d))) (patch (/.f64 d (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) (pow c 2))) (taylor -inf d) (#s(alt (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) (patch (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) (taylor -inf d) (#s(alt (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) (patch (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) (taylor -inf d) (#s(alt (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) (patch (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) (taylor -inf d) (#s(alt (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) (patch (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) c)) (taylor -inf d) (#s(alt (-.f64 b (/.f64 (*.f64 a d) c)) (patch (-.f64 b (/.f64 (*.f64 a d) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) (taylor -inf d) (#s(alt (-.f64 b (/.f64 (*.f64 a d) c)) (patch (-.f64 b (/.f64 (*.f64 a d) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) (taylor -inf d) (#s(alt (-.f64 b (/.f64 (*.f64 a d) c)) (patch (-.f64 b (/.f64 (*.f64 a d) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) (taylor -inf d) (#s(alt (-.f64 b (/.f64 (*.f64 a d) c)) (patch (-.f64 b (/.f64 (*.f64 a d) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor -inf d) (#s(alt (/.f64 (*.f64 a d) c) (patch (/.f64 (*.f64 a d) c) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor -inf d) (#s(alt (/.f64 (*.f64 a d) c) (patch (/.f64 (*.f64 a d) c) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor -inf d) (#s(alt (/.f64 (*.f64 a d) c) (patch (/.f64 (*.f64 a d) c) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor -inf d) (#s(alt (/.f64 (*.f64 a d) c) (patch (/.f64 (*.f64 a d) c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 a) (taylor -inf d) (#s(alt (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) (patch (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 a) (/ (* b c) d)) (taylor -inf d) (#s(alt (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) (patch (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 a) (* -1 (/ (+ (* -1 (* b c)) (* -1 (/ (* a (pow c 2)) d))) d))) (taylor -inf d) (#s(alt (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) (patch (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 a) (* -1 (/ (+ (* -1 (* b c)) (* -1 (/ (+ (* -1 (/ (* b (pow c 3)) d)) (* a (pow c 2))) d))) d))) (taylor -inf d) (#s(alt (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) (patch (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor -inf d) (#s(alt (/.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) d) (patch (/.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) (taylor -inf d) (#s(alt (/.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) d) (patch (/.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) (taylor -inf d) (#s(alt (/.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) d) (patch (/.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (+ (* -1 (* a (pow c 2))) (/ (* b (pow c 3)) d)) d)) (* b c)) d))) d)) (taylor -inf d) (#s(alt (/.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) d) (patch (/.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) d) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor -inf d) (#s(alt (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) (patch (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ (pow c 2) (pow d 2)) 1) (taylor -inf d) (#s(alt (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) (patch (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ (pow c 2) (pow d 2)) 1) (taylor -inf d) (#s(alt (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) (patch (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ (pow c 2) (pow d 2)) 1) (taylor -inf d) (#s(alt (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) (patch (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow d 2) (taylor -inf d) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (/ c d) (taylor -inf d) (#s(alt (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) (patch (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 c) (/ (pow c 3) (pow d 2))) d)) (taylor -inf d) (#s(alt (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) (patch (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 c) (/ (pow c 3) (pow d 2))) d)) (taylor -inf d) (#s(alt (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) (patch (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 c) (/ (pow c 3) (pow d 2))) d)) (taylor -inf d) (#s(alt (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) (patch (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) d) (taylor -inf d) (#s(alt (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64)))) (patch (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (* b c)) (/ (* b (pow c 3)) (pow d 2))) d)) (taylor -inf d) (#s(alt (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64)))) (patch (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (* b c)) (/ (* b (pow c 3)) (pow d 2))) d)) (taylor -inf d) (#s(alt (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64)))) (patch (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (* b c)) (/ (* b (pow c 3)) (pow d 2))) d)) (taylor -inf d) (#s(alt (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64)))) (patch (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 93.0ms | a | @ | 0 | ((/ (+ (* (neg d) a) (* b c)) (+ (* d d) (* c c))) (+ (* (neg d) a) (* b c)) (neg d) (* b c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ b c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (neg a) (/ d (+ (* c c) (* d d)))) (neg a) (/ d (+ (* c c) (* d d))) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- b (/ (* a d) c)) c) (- b (/ (* a d) c)) (/ (* a d) c) (+ (* (+ (* (/ (/ c d) d) c) -1) a) (* b (- (/ c d) (pow (/ c d) 3)))) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (+ (* (+ (* (/ (/ c d) d) c) -1) a) (* b (- (/ c d) (pow (/ c d) 3)))) d) (+ (* (/ (/ c d) d) c) -1) (* c c) (+ (* c c) (* d d)) (- (/ c d) (pow (/ c d) 3)) (* b (- (/ c d) (pow (/ c d) 3)))) |
| 9.0ms | d | @ | inf | ((/ (+ (* (neg d) a) (* b c)) (+ (* d d) (* c c))) (+ (* (neg d) a) (* b c)) (neg d) (* b c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ b c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (neg a) (/ d (+ (* c c) (* d d)))) (neg a) (/ d (+ (* c c) (* d d))) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- b (/ (* a d) c)) c) (- b (/ (* a d) c)) (/ (* a d) c) (+ (* (+ (* (/ (/ c d) d) c) -1) a) (* b (- (/ c d) (pow (/ c d) 3)))) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (+ (* (+ (* (/ (/ c d) d) c) -1) a) (* b (- (/ c d) (pow (/ c d) 3)))) d) (+ (* (/ (/ c d) d) c) -1) (* c c) (+ (* c c) (* d d)) (- (/ c d) (pow (/ c d) 3)) (* b (- (/ c d) (pow (/ c d) 3)))) |
| 6.0ms | c | @ | -inf | ((/ (+ (* (neg d) a) (* b c)) (+ (* d d) (* c c))) (+ (* (neg d) a) (* b c)) (neg d) (* b c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ b c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (neg a) (/ d (+ (* c c) (* d d)))) (neg a) (/ d (+ (* c c) (* d d))) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- b (/ (* a d) c)) c) (- b (/ (* a d) c)) (/ (* a d) c) (+ (* (+ (* (/ (/ c d) d) c) -1) a) (* b (- (/ c d) (pow (/ c d) 3)))) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (+ (* (+ (* (/ (/ c d) d) c) -1) a) (* b (- (/ c d) (pow (/ c d) 3)))) d) (+ (* (/ (/ c d) d) c) -1) (* c c) (+ (* c c) (* d d)) (- (/ c d) (pow (/ c d) 3)) (* b (- (/ c d) (pow (/ c d) 3)))) |
| 4.0ms | c | @ | inf | ((/ (+ (* (neg d) a) (* b c)) (+ (* d d) (* c c))) (+ (* (neg d) a) (* b c)) (neg d) (* b c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ b c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (neg a) (/ d (+ (* c c) (* d d)))) (neg a) (/ d (+ (* c c) (* d d))) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- b (/ (* a d) c)) c) (- b (/ (* a d) c)) (/ (* a d) c) (+ (* (+ (* (/ (/ c d) d) c) -1) a) (* b (- (/ c d) (pow (/ c d) 3)))) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (+ (* (+ (* (/ (/ c d) d) c) -1) a) (* b (- (/ c d) (pow (/ c d) 3)))) d) (+ (* (/ (/ c d) d) c) -1) (* c c) (+ (* c c) (* d d)) (- (/ c d) (pow (/ c d) 3)) (* b (- (/ c d) (pow (/ c d) 3)))) |
| 4.0ms | c | @ | 0 | ((/ (+ (* (neg d) a) (* b c)) (+ (* d d) (* c c))) (+ (* (neg d) a) (* b c)) (neg d) (* b c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ b c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (neg a) (/ d (+ (* c c) (* d d)))) (neg a) (/ d (+ (* c c) (* d d))) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- b (/ (* a d) c)) c) (- b (/ (* a d) c)) (/ (* a d) c) (+ (* (+ (* (/ (/ c d) d) c) -1) a) (* b (- (/ c d) (pow (/ c d) 3)))) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (+ (* (+ (* (/ (/ c d) d) c) -1) a) (* b (- (/ c d) (pow (/ c d) 3)))) d) (+ (* (/ (/ c d) d) c) -1) (* c c) (+ (* c c) (* d d)) (- (/ c d) (pow (/ c d) 3)) (* b (- (/ c d) (pow (/ c d) 3)))) |
| 1× | egg-herbie |
| 8 210× | lower-fma.f64 |
| 8 210× | lower-fma.f32 |
| 5 332× | lower-*.f64 |
| 5 332× | lower-*.f32 |
| 2 502× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 635 | 10589 |
| 1 | 2007 | 10118 |
| 2 | 6668 | 9822 |
| 0 | 8146 | 9385 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(* -1 (* a d)) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* a (pow c 2)) (pow d 3))) |
(+ (* -1 (/ a d)) (* (pow c 2) (+ (* -1 (/ (* a (pow c 2)) (pow d 5))) (/ a (pow d 3))))) |
(+ (* -1 (/ a d)) (* (pow c 2) (+ (* (pow c 2) (+ (* -1 (/ a (pow d 5))) (/ (* a (pow c 2)) (pow d 7)))) (/ a (pow d 3))))) |
(/ 1 d) |
(+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d)) |
(+ (* (pow c 2) (- (/ (pow c 2) (pow d 5)) (/ 1 (pow d 3)))) (/ 1 d)) |
(+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 7))) (/ 1 (pow d 5)))) (/ 1 (pow d 3)))) (/ 1 d)) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(* -1 (/ (* a d) (pow c 2))) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(* -1 (/ (* a d) c)) |
(/ (- (* b c) (* a d)) c) |
(/ (- (* b c) (* a d)) c) |
(/ (- (* b c) (* a d)) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(* -1 a) |
(+ (* -1 a) (/ (* b c) d)) |
(+ (* -1 a) (* c (+ (/ b d) (/ (* a c) (pow d 2))))) |
(+ (* -1 a) (* c (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)))) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(+ (* -1 (/ a d)) (* c (+ (* c (+ (* -1 (/ (* b c) (pow d 4))) (/ a (pow d 3)))) (/ b (pow d 2))))) |
-1 |
(- (/ (pow c 2) (pow d 2)) 1) |
(- (/ (pow c 2) (pow d 2)) 1) |
(- (/ (pow c 2) (pow d 2)) 1) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow d 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(/ c d) |
(* c (+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d))) |
(* c (+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d))) |
(* c (+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d))) |
(/ (* b c) d) |
(* c (+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d))) |
(* c (+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d))) |
(* c (+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d))) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(* b c) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(* -1 (/ (* a d) (pow c 2))) |
(/ (+ (* -1 (* a d)) (/ (* a (pow d 3)) (pow c 2))) (pow c 2)) |
(/ (+ (* -1 (* a d)) (+ (* -1 (/ (* a (pow d 5)) (pow c 4))) (/ (* a (pow d 3)) (pow c 2)))) (pow c 2)) |
(/ (+ (* -1 (* a d)) (+ (* -1 (/ (* a (pow d 5)) (pow c 4))) (+ (/ (* a (pow d 3)) (pow c 2)) (/ (* a (pow d 7)) (pow c 6))))) (pow c 2)) |
(/ d (pow c 2)) |
(/ (+ d (* -1 (/ (pow d 3) (pow c 2)))) (pow c 2)) |
(/ (- (+ d (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2))) (pow c 2)) |
(/ (- (+ d (* -1 (/ (pow d 7) (pow c 6)))) (+ (* -1 (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2)))) (pow c 2)) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
b |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(* -1 (/ (* b (pow c 3)) (pow d 3))) |
(* (pow c 3) (+ (* -1 (/ b (pow d 3))) (/ a (* c (pow d 2))))) |
(* (pow c 3) (+ (* -1 (/ b (pow d 3))) (+ (/ a (* c (pow d 2))) (/ b (* (pow c 2) d))))) |
(* (pow c 3) (+ (* -1 (/ a (pow c 3))) (+ (* -1 (/ b (pow d 3))) (+ (/ a (* c (pow d 2))) (/ b (* (pow c 2) d)))))) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(* -1 (/ (* b (pow c 3)) (pow d 4))) |
(* (pow c 3) (+ (* -1 (/ b (pow d 4))) (/ a (* c (pow d 3))))) |
(* (pow c 3) (+ (* -1 (/ b (pow d 4))) (+ (/ a (* c (pow d 3))) (/ b (* (pow c 2) (pow d 2)))))) |
(* (pow c 3) (+ (* -1 (/ a (* (pow c 3) d))) (+ (* -1 (/ b (pow d 4))) (+ (/ a (* c (pow d 3))) (/ b (* (pow c 2) (pow d 2))))))) |
(/ (pow c 2) (pow d 2)) |
(* (pow c 2) (- (/ 1 (pow d 2)) (/ 1 (pow c 2)))) |
(* (pow c 2) (- (/ 1 (pow d 2)) (/ 1 (pow c 2)))) |
(* (pow c 2) (- (/ 1 (pow d 2)) (/ 1 (pow c 2)))) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* -1 (/ (pow c 3) (pow d 3))) |
(* (pow c 3) (- (/ 1 (* (pow c 2) d)) (/ 1 (pow d 3)))) |
(* (pow c 3) (- (/ 1 (* (pow c 2) d)) (/ 1 (pow d 3)))) |
(* (pow c 3) (- (/ 1 (* (pow c 2) d)) (/ 1 (pow d 3)))) |
(* -1 (/ (* b (pow c 3)) (pow d 3))) |
(* (pow c 3) (+ (* -1 (/ b (pow d 3))) (/ b (* (pow c 2) d)))) |
(* (pow c 3) (+ (* -1 (/ b (pow d 3))) (/ b (* (pow c 2) d)))) |
(* (pow c 3) (+ (* -1 (/ b (pow d 3))) (/ b (* (pow c 2) d)))) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) |
(* b c) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) |
(* -1 (/ (* a d) (pow c 2))) |
(/ (+ (* -1 (* a d)) (/ (* a (pow d 3)) (pow c 2))) (pow c 2)) |
(/ (+ (* -1 (* a d)) (+ (* -1 (/ (* a (pow d 5)) (pow c 4))) (/ (* a (pow d 3)) (pow c 2)))) (pow c 2)) |
(/ (+ (* -1 (* a d)) (+ (* -1 (/ (* a (pow d 5)) (pow c 4))) (+ (/ (* a (pow d 3)) (pow c 2)) (/ (* a (pow d 7)) (pow c 6))))) (pow c 2)) |
(/ d (pow c 2)) |
(/ (+ d (* -1 (/ (pow d 3) (pow c 2)))) (pow c 2)) |
(/ (- (+ d (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2))) (pow c 2)) |
(/ (- (+ d (* -1 (/ (pow d 7) (pow c 6)))) (+ (* -1 (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2)))) (pow c 2)) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
b |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(* -1 (/ (* b (pow c 3)) (pow d 3))) |
(* -1 (* (pow c 3) (+ (* -1 (/ a (* c (pow d 2)))) (/ b (pow d 3))))) |
(* -1 (* (pow c 3) (+ (* -1 (/ (+ (/ a (pow d 2)) (/ b (* c d))) c)) (/ b (pow d 3))))) |
(* -1 (* (pow c 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ b d)) (/ a c)) c)) (/ a (pow d 2))) c)) (/ b (pow d 3))))) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) |
(* -1 (/ (* b (pow c 3)) (pow d 4))) |
(* -1 (* (pow c 3) (+ (* -1 (/ a (* c (pow d 3)))) (/ b (pow d 4))))) |
(* -1 (* (pow c 3) (+ (* -1 (/ (+ (/ a (pow d 3)) (/ b (* c (pow d 2)))) c)) (/ b (pow d 4))))) |
(* -1 (* (pow c 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ b (pow d 2))) (/ a (* c d))) c)) (/ a (pow d 3))) c)) (/ b (pow d 4))))) |
(/ (pow c 2) (pow d 2)) |
(* (pow c 2) (- (/ 1 (pow d 2)) (/ 1 (pow c 2)))) |
(* (pow c 2) (- (/ 1 (pow d 2)) (/ 1 (pow c 2)))) |
(* (pow c 2) (- (/ 1 (pow d 2)) (/ 1 (pow c 2)))) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* -1 (/ (pow c 3) (pow d 3))) |
(* -1 (* (pow c 3) (- (/ 1 (pow d 3)) (/ 1 (* (pow c 2) d))))) |
(* -1 (* (pow c 3) (- (/ 1 (pow d 3)) (/ 1 (* (pow c 2) d))))) |
(* -1 (* (pow c 3) (- (/ 1 (pow d 3)) (/ 1 (* (pow c 2) d))))) |
(* -1 (/ (* b (pow c 3)) (pow d 3))) |
(* -1 (* (pow c 3) (+ (* -1 (/ b (* (pow c 2) d))) (/ b (pow d 3))))) |
(* -1 (* (pow c 3) (+ (* -1 (/ b (* (pow c 2) d))) (/ b (pow d 3))))) |
(* -1 (* (pow c 3) (+ (* -1 (/ b (* (pow c 2) d))) (/ b (pow d 3))))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a d)) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (pow c 2))) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(* -1 (/ (* a d) c)) |
(- b (/ (* a d) c)) |
(- b (/ (* a d) c)) |
(- b (/ (* a d) c)) |
(* a (- (/ (pow c 2) (pow d 2)) 1)) |
(+ (* a (- (/ (pow c 2) (pow d 2)) 1)) (* b (- (/ c d) (/ (pow c 3) (pow d 3))))) |
(+ (* a (- (/ (pow c 2) (pow d 2)) 1)) (* b (- (/ c d) (/ (pow c 3) (pow d 3))))) |
(+ (* a (- (/ (pow c 2) (pow d 2)) 1)) (* b (- (/ c d) (/ (pow c 3) (pow d 3))))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(/ (* a (- (/ (pow c 2) (pow d 2)) 1)) d) |
(+ (* b (- (/ c (pow d 2)) (/ (pow c 3) (pow d 4)))) (/ (* a (- (/ (pow c 2) (pow d 2)) 1)) d)) |
(+ (* b (- (/ c (pow d 2)) (/ (pow c 3) (pow d 4)))) (/ (* a (- (/ (pow c 2) (pow d 2)) 1)) d)) |
(+ (* b (- (/ c (pow d 2)) (/ (pow c 3) (pow d 4)))) (/ (* a (- (/ (pow c 2) (pow d 2)) 1)) d)) |
(* b (- (/ c d) (/ (pow c 3) (pow d 3)))) |
(* b (- (/ c d) (/ (pow c 3) (pow d 3)))) |
(* b (- (/ c d) (/ (pow c 3) (pow d 3)))) |
(* b (- (/ c d) (/ (pow c 3) (pow d 3)))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b c) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(/ b c) |
(* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c))) |
(* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c))) |
(* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c))) |
b |
(* b (+ 1 (* -1 (/ (* a d) (* b c))))) |
(* b (+ 1 (* -1 (/ (* a d) (* b c))))) |
(* b (+ 1 (* -1 (/ (* a d) (* b c))))) |
(* b (- (/ c d) (/ (pow c 3) (pow d 3)))) |
(* b (- (+ (/ c d) (/ (* a (- (/ (pow c 2) (pow d 2)) 1)) b)) (/ (pow c 3) (pow d 3)))) |
(* b (- (+ (/ c d) (/ (* a (- (/ (pow c 2) (pow d 2)) 1)) b)) (/ (pow c 3) (pow d 3)))) |
(* b (- (+ (/ c d) (/ (* a (- (/ (pow c 2) (pow d 2)) 1)) b)) (/ (pow c 3) (pow d 3)))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(/ (* b (- (/ c d) (/ (pow c 3) (pow d 3)))) d) |
(* b (- (+ (/ c (pow d 2)) (/ (* a (- (/ (pow c 2) (pow d 2)) 1)) (* b d))) (/ (pow c 3) (pow d 4)))) |
(* b (- (+ (/ c (pow d 2)) (/ (* a (- (/ (pow c 2) (pow d 2)) 1)) (* b d))) (/ (pow c 3) (pow d 4)))) |
(* b (- (+ (/ c (pow d 2)) (/ (* a (- (/ (pow c 2) (pow d 2)) 1)) (* b d))) (/ (pow c 3) (pow d 4)))) |
(* b (- (/ c d) (/ (pow c 3) (pow d 3)))) |
(* b (- (/ c d) (/ (pow c 3) (pow d 3)))) |
(* b (- (/ c d) (/ (pow c 3) (pow d 3)))) |
(* b (- (/ c d) (/ (pow c 3) (pow d 3)))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* b c) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(/ b c) |
(* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c)))) |
(* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c)))) |
(* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c)))) |
b |
(* -1 (* b (- (/ (* a d) (* b c)) 1))) |
(* -1 (* b (- (/ (* a d) (* b c)) 1))) |
(* -1 (* b (- (/ (* a d) (* b c)) 1))) |
(* b (- (/ c d) (/ (pow c 3) (pow d 3)))) |
(* -1 (* b (+ (* -1 (- (/ c d) (/ (pow c 3) (pow d 3)))) (* -1 (/ (* a (- (/ (pow c 2) (pow d 2)) 1)) b))))) |
(* -1 (* b (+ (* -1 (- (/ c d) (/ (pow c 3) (pow d 3)))) (* -1 (/ (* a (- (/ (pow c 2) (pow d 2)) 1)) b))))) |
(* -1 (* b (+ (* -1 (- (/ c d) (/ (pow c 3) (pow d 3)))) (* -1 (/ (* a (- (/ (pow c 2) (pow d 2)) 1)) b))))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(/ (* b (- (/ c d) (/ (pow c 3) (pow d 3)))) d) |
(* -1 (* b (+ (* -1 (/ (* a (- (/ (pow c 2) (pow d 2)) 1)) (* b d))) (* -1 (/ (- (/ c d) (/ (pow c 3) (pow d 3))) d))))) |
(* -1 (* b (+ (* -1 (/ (* a (- (/ (pow c 2) (pow d 2)) 1)) (* b d))) (* -1 (/ (- (/ c d) (/ (pow c 3) (pow d 3))) d))))) |
(* -1 (* b (+ (* -1 (/ (* a (- (/ (pow c 2) (pow d 2)) 1)) (* b d))) (* -1 (/ (- (/ c d) (/ (pow c 3) (pow d 3))) d))))) |
(* b (- (/ c d) (/ (pow c 3) (pow d 3)))) |
(* b (- (/ c d) (/ (pow c 3) (pow d 3)))) |
(* b (- (/ c d) (/ (pow c 3) (pow d 3)))) |
(* b (- (/ c d) (/ (pow c 3) (pow d 3)))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* b c) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
b |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(* b (- (/ c d) (/ (pow c 3) (pow d 3)))) |
(+ (* a (- (/ (pow c 2) (pow d 2)) 1)) (* b (- (/ c d) (/ (pow c 3) (pow d 3))))) |
(+ (* a (- (/ (pow c 2) (pow d 2)) 1)) (* b (- (/ c d) (/ (pow c 3) (pow d 3))))) |
(+ (* a (- (/ (pow c 2) (pow d 2)) 1)) (* b (- (/ c d) (/ (pow c 3) (pow d 3))))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(/ (* b (- (/ c d) (/ (pow c 3) (pow d 3)))) d) |
(+ (* a (- (/ (pow c 2) (pow d 3)) (/ 1 d))) (/ (* b (- (/ c d) (/ (pow c 3) (pow d 3)))) d)) |
(+ (* a (- (/ (pow c 2) (pow d 3)) (/ 1 d))) (/ (* b (- (/ c d) (/ (pow c 3) (pow d 3)))) d)) |
(+ (* a (- (/ (pow c 2) (pow d 3)) (/ 1 d))) (/ (* b (- (/ c d) (/ (pow c 3) (pow d 3)))) d)) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a d)) |
(* a (+ (* -1 d) (/ (* b c) a))) |
(* a (+ (* -1 d) (/ (* b c) a))) |
(* a (+ (* -1 d) (/ (* b c) a))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ (* a d) (pow c 2))) |
(* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c)))) |
(* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c)))) |
(* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c)))) |
(* -1 (/ (* a d) c)) |
(* a (- (/ b a) (/ d c))) |
(* a (- (/ b a) (/ d c))) |
(* a (- (/ b a) (/ d c))) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(* a (- (/ (pow c 2) (pow d 2)) 1)) |
(* a (- (+ (/ (* b (- (/ c d) (/ (pow c 3) (pow d 3)))) a) (/ (pow c 2) (pow d 2))) 1)) |
(* a (- (+ (/ (* b (- (/ c d) (/ (pow c 3) (pow d 3)))) a) (/ (pow c 2) (pow d 2))) 1)) |
(* a (- (+ (/ (* b (- (/ c d) (/ (pow c 3) (pow d 3)))) a) (/ (pow c 2) (pow d 2))) 1)) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(/ (* a (- (/ (pow c 2) (pow d 2)) 1)) d) |
(* a (- (+ (/ (* b (- (/ c d) (/ (pow c 3) (pow d 3)))) (* a d)) (/ (pow c 2) (pow d 3))) (/ 1 d))) |
(* a (- (+ (/ (* b (- (/ c d) (/ (pow c 3) (pow d 3)))) (* a d)) (/ (pow c 2) (pow d 3))) (/ 1 d))) |
(* a (- (+ (/ (* b (- (/ c d) (/ (pow c 3) (pow d 3)))) (* a d)) (/ (pow c 2) (pow d 3))) (/ 1 d))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a d)) |
(* -1 (* a (+ d (* -1 (/ (* b c) a))))) |
(* -1 (* a (+ d (* -1 (/ (* b c) a))))) |
(* -1 (* a (+ d (* -1 (/ (* b c) a))))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2))))) |
(* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2))))) |
(* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2))))) |
(* -1 (/ (* a d) c)) |
(* -1 (* a (- (* -1 (/ b a)) (* -1 (/ d c))))) |
(* -1 (* a (- (* -1 (/ b a)) (* -1 (/ d c))))) |
(* -1 (* a (- (* -1 (/ b a)) (* -1 (/ d c))))) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(* a (- (/ (pow c 2) (pow d 2)) 1)) |
(* -1 (* a (+ (* -1 (- (/ (pow c 2) (pow d 2)) 1)) (* -1 (/ (* b (- (/ c d) (/ (pow c 3) (pow d 3)))) a))))) |
(* -1 (* a (+ (* -1 (- (/ (pow c 2) (pow d 2)) 1)) (* -1 (/ (* b (- (/ c d) (/ (pow c 3) (pow d 3)))) a))))) |
(* -1 (* a (+ (* -1 (- (/ (pow c 2) (pow d 2)) 1)) (* -1 (/ (* b (- (/ c d) (/ (pow c 3) (pow d 3)))) a))))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(/ (* a (- (/ (pow c 2) (pow d 2)) 1)) d) |
(* -1 (* a (+ (* -1 (/ (* b (- (/ c d) (/ (pow c 3) (pow d 3)))) (* a d))) (* -1 (/ (- (/ (pow c 2) (pow d 2)) 1) d))))) |
(* -1 (* a (+ (* -1 (/ (* b (- (/ c d) (/ (pow c 3) (pow d 3)))) (* a d))) (* -1 (/ (- (/ (pow c 2) (pow d 2)) 1) d))))) |
(* -1 (* a (+ (* -1 (/ (* b (- (/ c d) (/ (pow c 3) (pow d 3)))) (* a d))) (* -1 (/ (- (/ (pow c 2) (pow d 2)) 1) d))))) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(* b c) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(* -1 d) |
(* -1 d) |
(* -1 d) |
(* -1 d) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(* -1 (/ (* a d) (pow c 2))) |
(* d (+ (* -1 (/ a (pow c 2))) (/ (* a (pow d 2)) (pow c 4)))) |
(* d (+ (* -1 (/ a (pow c 2))) (* (pow d 2) (+ (* -1 (/ (* a (pow d 2)) (pow c 6))) (/ a (pow c 4)))))) |
(* d (+ (* -1 (/ a (pow c 2))) (* (pow d 2) (+ (* (pow d 2) (+ (* -1 (/ a (pow c 6))) (/ (* a (pow d 2)) (pow c 8)))) (/ a (pow c 4)))))) |
(/ d (pow c 2)) |
(* d (+ (* -1 (/ (pow d 2) (pow c 4))) (/ 1 (pow c 2)))) |
(* d (+ (* (pow d 2) (- (/ (pow d 2) (pow c 6)) (/ 1 (pow c 4)))) (/ 1 (pow c 2)))) |
(* d (+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 8))) (/ 1 (pow c 6)))) (/ 1 (pow c 4)))) (/ 1 (pow c 2)))) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
b |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(* -1 (/ (* b (pow c 3)) (pow d 3))) |
(/ (+ (* -1 (* b (pow c 3))) (* a (* (pow c 2) d))) (pow d 3)) |
(/ (+ (* -1 (* b (pow c 3))) (* d (+ (* a (pow c 2)) (* b (* c d))))) (pow d 3)) |
(/ (+ (* -1 (* b (pow c 3))) (* d (+ (* a (pow c 2)) (* d (+ (* -1 (* a d)) (* b c)))))) (pow d 3)) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(* -1 (/ (* b (pow c 3)) (pow d 4))) |
(/ (+ (* -1 (* b (pow c 3))) (* a (* (pow c 2) d))) (pow d 4)) |
(/ (+ (* -1 (* b (pow c 3))) (* d (+ (* a (pow c 2)) (* b (* c d))))) (pow d 4)) |
(/ (+ (* -1 (* b (pow c 3))) (* d (+ (* a (pow c 2)) (* d (+ (* -1 (* a d)) (* b c)))))) (pow d 4)) |
(/ (pow c 2) (pow d 2)) |
(/ (+ (* -1 (pow d 2)) (pow c 2)) (pow d 2)) |
(/ (+ (* -1 (pow d 2)) (pow c 2)) (pow d 2)) |
(/ (+ (* -1 (pow d 2)) (pow c 2)) (pow d 2)) |
(pow c 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(* -1 (/ (pow c 3) (pow d 3))) |
(/ (- (* c (pow d 2)) (pow c 3)) (pow d 3)) |
(/ (- (* c (pow d 2)) (pow c 3)) (pow d 3)) |
(/ (- (* c (pow d 2)) (pow c 3)) (pow d 3)) |
(* -1 (/ (* b (pow c 3)) (pow d 3))) |
(/ (+ (* -1 (* b (pow c 3))) (* b (* c (pow d 2)))) (pow d 3)) |
(/ (+ (* -1 (* b (pow c 3))) (* b (* c (pow d 2)))) (pow d 3)) |
(/ (+ (* -1 (* b (pow c 3))) (* b (* c (pow d 2)))) (pow d 3)) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(* -1 (* a d)) |
(* d (+ (* -1 a) (/ (* b c) d))) |
(* d (+ (* -1 a) (/ (* b c) d))) |
(* d (+ (* -1 a) (/ (* b c) d))) |
(* -1 d) |
(* -1 d) |
(* -1 d) |
(* -1 d) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* a (pow c 2)) (pow d 2))) d) |
(/ (+ (* -1 a) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2)))) d) |
(/ (+ (* -1 a) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* a (pow c 6)) (pow d 6))))) d) |
(/ 1 d) |
(/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) d) |
(/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) d) |
(/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) d) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(* -1 (/ (* a d) (pow c 2))) |
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(* -1 (/ (* a d) c)) |
(* d (- (/ b d) (/ a c))) |
(* d (- (/ b d) (/ a c))) |
(* d (- (/ b d) (/ a c))) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(* -1 a) |
(+ (* -1 a) (/ (* b c) d)) |
(+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) |
(+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d)))) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d)))) d) |
-1 |
(- (/ (pow c 2) (pow d 2)) 1) |
(- (/ (pow c 2) (pow d 2)) 1) |
(- (/ (pow c 2) (pow d 2)) 1) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(/ c d) |
(/ (+ c (* -1 (/ (pow c 3) (pow d 2)))) d) |
(/ (+ c (* -1 (/ (pow c 3) (pow d 2)))) d) |
(/ (+ c (* -1 (/ (pow c 3) (pow d 2)))) d) |
(/ (* b c) d) |
(/ (+ (* -1 (/ (* b (pow c 3)) (pow d 2))) (* b c)) d) |
(/ (+ (* -1 (/ (* b (pow c 3)) (pow d 2))) (* b c)) d) |
(/ (+ (* -1 (/ (* b (pow c 3)) (pow d 2))) (* b c)) d) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(* -1 (* a d)) |
(* -1 (* d (+ a (* -1 (/ (* b c) d))))) |
(* -1 (* d (+ a (* -1 (/ (* b c) d))))) |
(* -1 (* d (+ a (* -1 (/ (* b c) d))))) |
(* -1 d) |
(* -1 d) |
(* -1 d) |
(* -1 d) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* a (pow c 2)) (pow d 2)))) d)) |
(* -1 (/ (- (+ a (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2))) d)) |
(* -1 (/ (- (+ a (* -1 (/ (* a (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2)))) d)) |
(/ 1 d) |
(* -1 (/ (- (/ (pow c 2) (pow d 2)) 1) d)) |
(* -1 (/ (- (* -1 (/ (pow c 4) (pow d 4))) (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) d)) |
(* -1 (/ (- (/ (pow c 6) (pow d 6)) (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (pow c 4) (pow d 4))))) d)) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(* -1 (/ (* a d) c)) |
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) |
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) |
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(* -1 a) |
(+ (* -1 a) (/ (* b c) d)) |
(+ (* -1 a) (* -1 (/ (+ (* -1 (* b c)) (* -1 (/ (* a (pow c 2)) d))) d))) |
(+ (* -1 a) (* -1 (/ (+ (* -1 (* b c)) (* -1 (/ (+ (* -1 (/ (* b (pow c 3)) d)) (* a (pow c 2))) d))) d))) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (+ (* -1 (* a (pow c 2))) (/ (* b (pow c 3)) d)) d)) (* b c)) d))) d)) |
-1 |
(- (/ (pow c 2) (pow d 2)) 1) |
(- (/ (pow c 2) (pow d 2)) 1) |
(- (/ (pow c 2) (pow d 2)) 1) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(/ c d) |
(* -1 (/ (+ (* -1 c) (/ (pow c 3) (pow d 2))) d)) |
(* -1 (/ (+ (* -1 c) (/ (pow c 3) (pow d 2))) d)) |
(* -1 (/ (+ (* -1 c) (/ (pow c 3) (pow d 2))) d)) |
(/ (* b c) d) |
(* -1 (/ (+ (* -1 (* b c)) (/ (* b (pow c 3)) (pow d 2))) d)) |
(* -1 (/ (+ (* -1 (* b c)) (/ (* b (pow c 3)) (pow d 2))) d)) |
(* -1 (/ (+ (* -1 (* b c)) (/ (* b (pow c 3)) (pow d 2))) d)) |
| Outputs |
|---|
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 3 binary64))) a (/.f64 b (*.f64 d d))) c (/.f64 (neg.f64 a) d)) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (/.f64 c (pow.f64 d #s(literal 4 binary64))) (/.f64 a (pow.f64 d #s(literal 3 binary64)))) c (/.f64 b (*.f64 d d))) c (/.f64 (neg.f64 a) d)) |
(* -1 (* a d)) |
(*.f64 (neg.f64 d) a) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 (neg.f64 d) a (*.f64 c b)) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 (neg.f64 d) a (*.f64 c b)) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 (neg.f64 d) a (*.f64 c b)) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 3 binary64))) a (/.f64 b (*.f64 d d))) c (/.f64 (neg.f64 a) d)) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (/.f64 c (pow.f64 d #s(literal 4 binary64))) (/.f64 a (pow.f64 d #s(literal 3 binary64)))) c (/.f64 b (*.f64 d d))) c (/.f64 (neg.f64 a) d)) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 3 binary64))) a (/.f64 b (*.f64 d d))) c (/.f64 (neg.f64 a) d)) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (/.f64 c (pow.f64 d #s(literal 4 binary64))) (/.f64 a (pow.f64 d #s(literal 3 binary64)))) c (/.f64 b (*.f64 d d))) c (/.f64 (neg.f64 a) d)) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(+ (* -1 (/ a d)) (/ (* a (pow c 2)) (pow d 3))) |
(*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)) (/.f64 a d)) |
(+ (* -1 (/ a d)) (* (pow c 2) (+ (* -1 (/ (* a (pow c 2)) (pow d 5))) (/ a (pow d 3))))) |
(fma.f64 (fma.f64 (*.f64 (neg.f64 c) c) (/.f64 a (pow.f64 d #s(literal 5 binary64))) (/.f64 a (pow.f64 d #s(literal 3 binary64)))) (*.f64 c c) (/.f64 (neg.f64 a) d)) |
(+ (* -1 (/ a d)) (* (pow c 2) (+ (* (pow c 2) (+ (* -1 (/ a (pow d 5))) (/ (* a (pow c 2)) (pow d 7)))) (/ a (pow d 3))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 c c) (/.f64 a (pow.f64 d #s(literal 7 binary64))) (/.f64 (neg.f64 a) (pow.f64 d #s(literal 5 binary64)))) (*.f64 c c) (/.f64 a (pow.f64 d #s(literal 3 binary64)))) (*.f64 c c) (/.f64 (neg.f64 a) d)) |
(/ 1 d) |
(/.f64 #s(literal 1 binary64) d) |
(+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d)) |
(/.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)) (neg.f64 d)) |
(+ (* (pow c 2) (- (/ (pow c 2) (pow d 5)) (/ 1 (pow d 3)))) (/ 1 d)) |
(fma.f64 (fma.f64 c (/.f64 c (pow.f64 d #s(literal 5 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 d #s(literal 3 binary64)))) (*.f64 c c) (/.f64 #s(literal 1 binary64) d)) |
(+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 7))) (/ 1 (pow d 5)))) (/ 1 (pow d 3)))) (/ 1 d)) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 d #s(literal 5 binary64))) (*.f64 c (/.f64 c (pow.f64 d #s(literal 7 binary64))))) (*.f64 c c) (/.f64 #s(literal -1 binary64) (pow.f64 d #s(literal 3 binary64)))) (*.f64 c c) (/.f64 #s(literal 1 binary64) d)) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 3 binary64))) a (/.f64 b (*.f64 d d))) c (/.f64 (neg.f64 a) d)) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (/.f64 c (pow.f64 d #s(literal 4 binary64))) (/.f64 a (pow.f64 d #s(literal 3 binary64)))) c (/.f64 b (*.f64 d d))) c (/.f64 (neg.f64 a) d)) |
(* -1 (/ (* a d) (pow c 2))) |
(*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 c b)) (*.f64 c c)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 c b)) (*.f64 c c)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 c b)) (*.f64 c c)) |
(* -1 (/ (* a d) c)) |
(*.f64 (neg.f64 a) (/.f64 d c)) |
(/ (- (* b c) (* a d)) c) |
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 c b)) c) |
(/ (- (* b c) (* a d)) c) |
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 c b)) c) |
(/ (- (* b c) (* a d)) c) |
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 c b)) c) |
(/ (* a d) c) |
(/.f64 (*.f64 d a) c) |
(/ (* a d) c) |
(/.f64 (*.f64 d a) c) |
(/ (* a d) c) |
(/.f64 (*.f64 d a) c) |
(/ (* a d) c) |
(/.f64 (*.f64 d a) c) |
(* -1 a) |
(neg.f64 a) |
(+ (* -1 a) (/ (* b c) d)) |
(-.f64 (/.f64 (*.f64 c b) d) a) |
(+ (* -1 a) (* c (+ (/ b d) (/ (* a c) (pow d 2))))) |
(fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d)) c (neg.f64 a)) |
(+ (* -1 a) (* c (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (/.f64 c (pow.f64 d #s(literal 3 binary64))) (/.f64 (/.f64 a d) d)) c (/.f64 b d)) c (neg.f64 a)) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 3 binary64))) a (/.f64 b (*.f64 d d))) c (/.f64 (neg.f64 a) d)) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (/.f64 c (pow.f64 d #s(literal 4 binary64))) (/.f64 a (pow.f64 d #s(literal 3 binary64)))) c (/.f64 b (*.f64 d d))) c (/.f64 (neg.f64 a) d)) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 3 binary64))) a (/.f64 b (*.f64 d d))) c (/.f64 (neg.f64 a) d)) |
(+ (* -1 (/ a d)) (* c (+ (* c (+ (* -1 (/ (* b c) (pow d 4))) (/ a (pow d 3)))) (/ b (pow d 2))))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (/.f64 c (pow.f64 d #s(literal 4 binary64))) (/.f64 a (pow.f64 d #s(literal 3 binary64)))) c (/.f64 b (*.f64 d d))) c (/.f64 (neg.f64 a) d)) |
-1 |
#s(literal -1 binary64) |
(- (/ (pow c 2) (pow d 2)) 1) |
(fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)) |
(- (/ (pow c 2) (pow d 2)) 1) |
(fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)) |
(- (/ (pow c 2) (pow d 2)) 1) |
(fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)) |
(pow c 2) |
(*.f64 c c) |
(pow c 2) |
(*.f64 c c) |
(pow c 2) |
(*.f64 c c) |
(pow c 2) |
(*.f64 c c) |
(pow d 2) |
(*.f64 d d) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(/ c d) |
(/.f64 c d) |
(* c (+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d))) |
(-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) |
(* c (+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d))) |
(-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) |
(* c (+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d))) |
(-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) |
(/ (* b c) d) |
(/.f64 (*.f64 c b) d) |
(* c (+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d))) |
(*.f64 (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) b) |
(* c (+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d))) |
(*.f64 (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) b) |
(* c (+ (* -1 (/ (* b (pow c 2)) (pow d 3))) (/ b d))) |
(*.f64 (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) b) |
(/ b c) |
(/.f64 b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 d a (/.f64 (*.f64 (*.f64 d d) b) c)) c) b)) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(/.f64 (+.f64 (fma.f64 (pow.f64 (/.f64 d c) #s(literal 3 binary64)) a (/.f64 (neg.f64 (fma.f64 d a (/.f64 (*.f64 (*.f64 d d) b) c))) c)) b) c) |
(* b c) |
(*.f64 c b) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(*.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(*.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(*.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(/ b c) |
(/.f64 b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 d a (/.f64 (*.f64 (*.f64 d d) b) c)) c) b)) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(/.f64 (+.f64 (fma.f64 (pow.f64 (/.f64 d c) #s(literal 3 binary64)) a (/.f64 (neg.f64 (fma.f64 d a (/.f64 (*.f64 (*.f64 d d) b) c))) c)) b) c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 d a (/.f64 (*.f64 (*.f64 d d) b) c)) c) b)) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(/.f64 (+.f64 (fma.f64 (pow.f64 (/.f64 d c) #s(literal 3 binary64)) a (/.f64 (neg.f64 (fma.f64 d a (/.f64 (*.f64 (*.f64 d d) b) c))) c)) b) c) |
(* -1 (/ (* a d) (pow c 2))) |
(*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)) |
(/ (+ (* -1 (* a d)) (/ (* a (pow d 3)) (pow c 2))) (pow c 2)) |
(/.f64 (fma.f64 (pow.f64 (/.f64 d c) #s(literal 3 binary64)) a (*.f64 (neg.f64 a) (/.f64 d c))) c) |
(/ (+ (* -1 (* a d)) (+ (* -1 (/ (* a (pow d 5)) (pow c 4))) (/ (* a (pow d 3)) (pow c 2)))) (pow c 2)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) c) (/.f64 a c)) (fma.f64 d a (*.f64 (pow.f64 d #s(literal 5 binary64)) (/.f64 a (pow.f64 c #s(literal 4 binary64)))))) (*.f64 c c)) |
(/ (+ (* -1 (* a d)) (+ (* -1 (/ (* a (pow d 5)) (pow c 4))) (+ (/ (* a (pow d 3)) (pow c 2)) (/ (* a (pow d 7)) (pow c 6))))) (pow c 2)) |
(/.f64 (-.f64 (*.f64 a (+.f64 (/.f64 (pow.f64 d #s(literal 7 binary64)) (pow.f64 c #s(literal 6 binary64))) (/.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) c) c))) (fma.f64 d a (*.f64 (pow.f64 d #s(literal 5 binary64)) (/.f64 a (pow.f64 c #s(literal 4 binary64)))))) (*.f64 c c)) |
(/ d (pow c 2)) |
(/.f64 d (*.f64 c c)) |
(/ (+ d (* -1 (/ (pow d 3) (pow c 2)))) (pow c 2)) |
(/.f64 (-.f64 (/.f64 d c) (pow.f64 (/.f64 d c) #s(literal 3 binary64))) c) |
(/ (- (+ d (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2))) (pow c 2)) |
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(* -1 d) |
(neg.f64 d) |
(* -1 d) |
(neg.f64 d) |
(* -1 d) |
(neg.f64 d) |
(* -1 d) |
(neg.f64 d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (fma.f64 (neg.f64 b) (/.f64 c d) a) (neg.f64 d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 c b (/.f64 (*.f64 (*.f64 c c) a) d)) d) a) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 c b (/.f64 (fma.f64 (neg.f64 b) (/.f64 (pow.f64 c #s(literal 3 binary64)) d) (*.f64 (*.f64 c c) a)) d)) d) a) d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (fma.f64 (neg.f64 b) (/.f64 c d) a) (neg.f64 d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 c b (/.f64 (*.f64 (*.f64 c c) a) d)) d) a) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 c b (/.f64 (fma.f64 (neg.f64 b) (/.f64 (pow.f64 c #s(literal 3 binary64)) d) (*.f64 (*.f64 c c) a)) d)) d) a) d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* a (pow c 2)) (pow d 2)))) d)) |
(*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)) (/.f64 a d)) |
(* -1 (/ (- (+ a (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2))) d)) |
(/.f64 (fma.f64 a (-.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (*.f64 (/.f64 c d) (/.f64 c d))) a) (neg.f64 d)) |
(* -1 (/ (- (+ a (* -1 (/ (* a (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2)))) d)) |
(/.f64 (fma.f64 (neg.f64 a) (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (fma.f64 a (-.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (*.f64 (/.f64 c d) (/.f64 c d))) a)) (neg.f64 d)) |
(/ 1 d) |
(/.f64 #s(literal 1 binary64) d) |
(* -1 (/ (- (/ (pow c 2) (pow d 2)) 1) d)) |
(/.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)) (neg.f64 d)) |
(* -1 (/ (- (* -1 (/ (pow c 4) (pow d 4))) (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) d)) |
(/.f64 (-.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64))) d) |
(* -1 (/ (- (/ (pow c 6) (pow d 6)) (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (pow c 4) (pow d 4))))) d)) |
(/.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) #s(literal -1 binary64) (-.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)))) d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (fma.f64 (neg.f64 b) (/.f64 c d) a) (neg.f64 d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 c b (/.f64 (*.f64 (*.f64 c c) a) d)) d) a) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 c b (/.f64 (fma.f64 (neg.f64 b) (/.f64 (pow.f64 c #s(literal 3 binary64)) d) (*.f64 (*.f64 c c) a)) d)) d) a) d) |
(* -1 (/ (* a d) (pow c 2))) |
(*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(*.f64 (/.f64 (-.f64 (/.f64 b d) (/.f64 a c)) c) d) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(*.f64 (/.f64 (-.f64 (/.f64 b d) (/.f64 a c)) c) d) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(*.f64 (/.f64 (-.f64 (/.f64 b d) (/.f64 a c)) c) d) |
(* -1 (/ (* a d) c)) |
(*.f64 (neg.f64 a) (/.f64 d c)) |
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) |
(*.f64 (-.f64 (/.f64 b d) (/.f64 a c)) d) |
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) |
(*.f64 (-.f64 (/.f64 b d) (/.f64 a c)) d) |
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) |
(*.f64 (-.f64 (/.f64 b d) (/.f64 a c)) d) |
(/ (* a d) c) |
(/.f64 (*.f64 d a) c) |
(/ (* a d) c) |
(/.f64 (*.f64 d a) c) |
(/ (* a d) c) |
(/.f64 (*.f64 d a) c) |
(/ (* a d) c) |
(/.f64 (*.f64 d a) c) |
(* -1 a) |
(neg.f64 a) |
(+ (* -1 a) (/ (* b c) d)) |
(-.f64 (/.f64 (*.f64 c b) d) a) |
(+ (* -1 a) (* -1 (/ (+ (* -1 (* b c)) (* -1 (/ (* a (pow c 2)) d))) d))) |
(-.f64 (/.f64 (fma.f64 c b (/.f64 (*.f64 (*.f64 c c) a) d)) d) a) |
(+ (* -1 a) (* -1 (/ (+ (* -1 (* b c)) (* -1 (/ (+ (* -1 (/ (* b (pow c 3)) d)) (* a (pow c 2))) d))) d))) |
(-.f64 (/.f64 (fma.f64 c b (/.f64 (fma.f64 (neg.f64 b) (/.f64 (pow.f64 c #s(literal 3 binary64)) d) (*.f64 (*.f64 c c) a)) d)) d) a) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (fma.f64 (neg.f64 b) (/.f64 c d) a) (neg.f64 d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 c b (/.f64 (*.f64 (*.f64 c c) a) d)) d) a) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 c b (/.f64 (fma.f64 (neg.f64 b) (/.f64 (pow.f64 c #s(literal 3 binary64)) d) (*.f64 (*.f64 c c) a)) d)) d) a) d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (fma.f64 (neg.f64 b) (/.f64 c d) a) (neg.f64 d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 c b (/.f64 (*.f64 (*.f64 c c) a) d)) d) a) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (+ (* -1 (* a (pow c 2))) (/ (* b (pow c 3)) d)) d)) (* b c)) d))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 c b (/.f64 (fma.f64 (neg.f64 b) (/.f64 (pow.f64 c #s(literal 3 binary64)) d) (*.f64 (*.f64 c c) a)) d)) d) a) d) |
-1 |
#s(literal -1 binary64) |
(- (/ (pow c 2) (pow d 2)) 1) |
(fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)) |
(- (/ (pow c 2) (pow d 2)) 1) |
(fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)) |
(- (/ (pow c 2) (pow d 2)) 1) |
(fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)) |
(pow d 2) |
(*.f64 d d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) d) d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) d) d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) d) d) |
(/ c d) |
(/.f64 c d) |
(* -1 (/ (+ (* -1 c) (/ (pow c 3) (pow d 2))) d)) |
(neg.f64 (-.f64 (pow.f64 (/.f64 c d) #s(literal 3 binary64)) (/.f64 c d))) |
(* -1 (/ (+ (* -1 c) (/ (pow c 3) (pow d 2))) d)) |
(neg.f64 (-.f64 (pow.f64 (/.f64 c d) #s(literal 3 binary64)) (/.f64 c d))) |
(* -1 (/ (+ (* -1 c) (/ (pow c 3) (pow d 2))) d)) |
(neg.f64 (-.f64 (pow.f64 (/.f64 c d) #s(literal 3 binary64)) (/.f64 c d))) |
(/ (* b c) d) |
(/.f64 (*.f64 c b) d) |
(* -1 (/ (+ (* -1 (* b c)) (/ (* b (pow c 3)) (pow d 2))) d)) |
(*.f64 (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) b) |
(* -1 (/ (+ (* -1 (* b c)) (/ (* b (pow c 3)) (pow d 2))) d)) |
(*.f64 (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) b) |
(* -1 (/ (+ (* -1 (* b c)) (/ (* b (pow c 3)) (pow d 2))) d)) |
(*.f64 (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) b) |
| 4 494× | lower-*.f32 |
| 4 482× | lower-*.f64 |
| 4 406× | lower-/.f32 |
| 4 390× | lower-/.f64 |
| 3 358× | lower-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 258 |
| 0 | 66 | 258 |
| 1 | 262 | 254 |
| 2 | 2129 | 254 |
| 0 | 8128 | 254 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) |
(fma.f64 (neg.f64 d) a (*.f64 b c)) |
(neg.f64 d) |
(*.f64 b c) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
(/.f64 b c) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))) |
(neg.f64 a) |
(/.f64 d (fma.f64 c c (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
(/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) |
(-.f64 b (/.f64 (*.f64 a d) c)) |
(/.f64 (*.f64 a d) c) |
(fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) d)) |
(/.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) d) |
(fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) |
(*.f64 c c) |
(fma.f64 c c (*.f64 d d)) |
(-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) |
(*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64)))) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (fma.f64 c c (*.f64 d d)) (-.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (pow.f64 (*.f64 a d) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 c b (*.f64 a d)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 c c (*.f64 d d)) (-.f64 (pow.f64 (*.f64 a d) #s(literal 2 binary64)) (pow.f64 (*.f64 c b) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 c) b)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 c c (*.f64 d d)) (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 a d) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 a d) (fma.f64 c b (*.f64 a d)) (pow.f64 (*.f64 c b) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 c c (*.f64 d d)) (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 a d) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 c b) (-.f64 (*.f64 c b) (*.f64 (neg.f64 a) d)) (pow.f64 (*.f64 a d) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 a (neg.f64 d) (*.f64 c b)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 (+.f64 c d) (-.f64 c d))) |
(*.f64 (/.f64 (fma.f64 a (neg.f64 d) (*.f64 c b)) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (*.f64 (+.f64 d c) (-.f64 d c))) |
(*.f64 (/.f64 (fma.f64 a (neg.f64 d) (*.f64 c b)) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64)))) |
(*.f64 (/.f64 (fma.f64 a (neg.f64 d) (*.f64 c b)) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (-.f64 (+.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (pow.f64 (*.f64 d c) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 c c (*.f64 d d)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 a (neg.f64 d) (*.f64 c b)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 c c (*.f64 d d)) #s(literal -1 binary64)) (fma.f64 a (neg.f64 d) (*.f64 c b))) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (neg.f64 d) (*.f64 c b)) (fma.f64 c c (*.f64 d d)))) |
(*.f64 (neg.f64 (fma.f64 a (neg.f64 d) (*.f64 c b))) (pow.f64 (neg.f64 (fma.f64 c c (*.f64 d d))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 a (neg.f64 d) (*.f64 c b)) (pow.f64 (fma.f64 c c (*.f64 d d)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a (neg.f64 d) (*.f64 c b))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a (neg.f64 d) (*.f64 c b))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (pow.f64 (*.f64 a d) #s(literal 2 binary64))) (pow.f64 (fma.f64 c c (*.f64 d d)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 c b (*.f64 a d)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 a d) #s(literal 2 binary64)) (pow.f64 (*.f64 c b) #s(literal 2 binary64))) (pow.f64 (fma.f64 c c (*.f64 d d)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 c) b)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 a d) #s(literal 3 binary64))) (pow.f64 (fma.f64 c c (*.f64 d d)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (*.f64 a d) (fma.f64 c b (*.f64 a d)) (pow.f64 (*.f64 c b) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 a d) #s(literal 3 binary64))) (pow.f64 (fma.f64 c c (*.f64 d d)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (*.f64 c b) (-.f64 (*.f64 c b) (*.f64 (neg.f64 a) d)) (pow.f64 (*.f64 a d) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 a (neg.f64 d) (*.f64 c b)) #s(literal 1 binary64))) (neg.f64 (fma.f64 c c (*.f64 d d)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c (/.f64 b (fma.f64 c c (*.f64 d d)))) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) a) #s(literal 2 binary64)))) (neg.f64 (fma.f64 c (/.f64 b (fma.f64 c c (*.f64 d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) a)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c (/.f64 b (fma.f64 c c (*.f64 d d)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) a) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 c (/.f64 b (fma.f64 c c (*.f64 d d)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) a) #s(literal 2 binary64)) (*.f64 (*.f64 c (/.f64 b (fma.f64 c c (*.f64 d d)))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) a)))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 a (neg.f64 d) (*.f64 c b))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 c c (*.f64 d d)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (pow.f64 (*.f64 a d) #s(literal 2 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 c b (*.f64 a d)) (fma.f64 c c (*.f64 d d))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 a d) #s(literal 2 binary64)) (pow.f64 (*.f64 c b) #s(literal 2 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 c) b)) (fma.f64 c c (*.f64 d d))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 a d) #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (*.f64 a d) (fma.f64 c b (*.f64 a d)) (pow.f64 (*.f64 c b) #s(literal 2 binary64))) (fma.f64 c c (*.f64 d d))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 a d) #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (*.f64 c b) (-.f64 (*.f64 c b) (*.f64 (neg.f64 a) d)) (pow.f64 (*.f64 a d) #s(literal 2 binary64))) (fma.f64 c c (*.f64 d d))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 c b) (fma.f64 c c (*.f64 d d))) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 a d)))) (neg.f64 (pow.f64 (fma.f64 c c (*.f64 d d)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 c b)) (/.f64 (fma.f64 c c (*.f64 d d)) d)) (*.f64 (neg.f64 (fma.f64 c c (*.f64 d d))) (*.f64 a #s(literal 1 binary64)))) (*.f64 (neg.f64 (fma.f64 c c (*.f64 d d))) (/.f64 (fma.f64 c c (*.f64 d d)) d))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 c b)) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 a d))) (*.f64 (neg.f64 (fma.f64 c c (*.f64 d d))) #s(literal 1 binary64))) (*.f64 (neg.f64 (fma.f64 c c (*.f64 d d))) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 a d)))) |
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(fma.f64 (/.f64 (*.f64 c b) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (-.f64 (+.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a))) |
(fma.f64 (*.f64 c b) (pow.f64 (fma.f64 c c (*.f64 d d)) #s(literal -1 binary64)) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a))) |
(fma.f64 c (/.f64 b (fma.f64 c c (*.f64 d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a))) |
(fma.f64 b (/.f64 c (fma.f64 c c (*.f64 d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a))) |
(-.f64 (*.f64 c (/.f64 b (fma.f64 c c (*.f64 d d)))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) a)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a (neg.f64 d) (*.f64 c b)))) #s(literal -1 binary64))) |
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(*.f64 (-.f64 (pow.f64 (*.f64 a d) #s(literal 2 binary64)) (pow.f64 (*.f64 c b) #s(literal 2 binary64))) (pow.f64 (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 c) b)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 a d) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 a d) (fma.f64 c b (*.f64 a d)) (pow.f64 (*.f64 c b) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 a d) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 c b) (-.f64 (*.f64 c b) (*.f64 (neg.f64 a) d)) (pow.f64 (*.f64 a d) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 c b (*.f64 a d)) (-.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (pow.f64 (*.f64 a d) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 c) b)) (-.f64 (pow.f64 (*.f64 a d) #s(literal 2 binary64)) (pow.f64 (*.f64 c b) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 a d) (fma.f64 c b (*.f64 a d)) (pow.f64 (*.f64 c b) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 a d) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 c b) (-.f64 (*.f64 c b) (*.f64 (neg.f64 a) d)) (pow.f64 (*.f64 a d) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 a d) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (pow.f64 (*.f64 a d) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 c b (*.f64 a d))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 a d) #s(literal 2 binary64)) (pow.f64 (*.f64 c b) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 c) b))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 a d) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 a d) (fma.f64 c b (*.f64 a d)) (pow.f64 (*.f64 c b) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 a d) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 c b) (-.f64 (*.f64 c b) (*.f64 (neg.f64 a) d)) (pow.f64 (*.f64 a d) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (fma.f64 c b (*.f64 a d))) (*.f64 (fma.f64 c b (*.f64 a d)) (pow.f64 (*.f64 a d) #s(literal 2 binary64)))) (*.f64 (fma.f64 c b (*.f64 a d)) (fma.f64 c b (*.f64 a d)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 a d) #s(literal 2 binary64)) (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 c) b))) (*.f64 (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 c) b)) (pow.f64 (*.f64 c b) #s(literal 2 binary64)))) (*.f64 (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 c) b)) (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 c) b)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (fma.f64 (*.f64 a d) (fma.f64 c b (*.f64 a d)) (pow.f64 (*.f64 c b) #s(literal 2 binary64)))) (*.f64 (fma.f64 (*.f64 a d) (fma.f64 c b (*.f64 a d)) (pow.f64 (*.f64 c b) #s(literal 2 binary64))) (pow.f64 (*.f64 a d) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 a d) (fma.f64 c b (*.f64 a d)) (pow.f64 (*.f64 c b) #s(literal 2 binary64))) (fma.f64 (*.f64 a d) (fma.f64 c b (*.f64 a d)) (pow.f64 (*.f64 c b) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (pow.f64 (*.f64 a d) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 c b) (*.f64 (neg.f64 a) d)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (pow.f64 (*.f64 a d) #s(literal 2 binary64)))) (neg.f64 (fma.f64 c b (*.f64 a d)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 a d) #s(literal 2 binary64)) (pow.f64 (*.f64 c b) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 c) b)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 a d) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 a d) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 a) d) c) b))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 a d) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 a d) (fma.f64 c b (*.f64 a d)) (pow.f64 (*.f64 c b) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 a d) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 c b) (-.f64 (*.f64 c b) (*.f64 (neg.f64 a) d)) (pow.f64 (*.f64 a d) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (pow.f64 (*.f64 a d) #s(literal 2 binary64))) (-.f64 (*.f64 c b) (*.f64 (neg.f64 a) d))) |
(/.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (pow.f64 (*.f64 a d) #s(literal 2 binary64))) (fma.f64 c b (*.f64 a d))) |
(/.f64 (-.f64 (pow.f64 (*.f64 a d) #s(literal 2 binary64)) (pow.f64 (*.f64 c b) #s(literal 2 binary64))) (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 c) b))) |
(/.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 a d) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 a d) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (neg.f64 a) d) c) b)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 a d) #s(literal 3 binary64))) (fma.f64 (*.f64 a d) (fma.f64 c b (*.f64 a d)) (pow.f64 (*.f64 c b) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 a d) #s(literal 3 binary64))) (fma.f64 (*.f64 c b) (-.f64 (*.f64 c b) (*.f64 (neg.f64 a) d)) (pow.f64 (*.f64 a d) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c b (*.f64 a d)) (-.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (pow.f64 (*.f64 a d) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 c) b)) (-.f64 (pow.f64 (*.f64 a d) #s(literal 2 binary64)) (pow.f64 (*.f64 c b) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 a d) (fma.f64 c b (*.f64 a d)) (pow.f64 (*.f64 c b) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 a d) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 c b) (-.f64 (*.f64 c b) (*.f64 (neg.f64 a) d)) (pow.f64 (*.f64 a d) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 a d) #s(literal 3 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 c b (*.f64 a d)) (-.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (pow.f64 (*.f64 a d) #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 c) b)) (-.f64 (pow.f64 (*.f64 a d) #s(literal 2 binary64)) (pow.f64 (*.f64 c b) #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 a d) (fma.f64 c b (*.f64 a d)) (pow.f64 (*.f64 c b) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 a d) #s(literal 3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 c b) (-.f64 (*.f64 c b) (*.f64 (neg.f64 a) d)) (pow.f64 (*.f64 a d) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 a d) #s(literal 3 binary64)))))) |
(fma.f64 #s(literal -1 binary64) (*.f64 a d) (*.f64 c b)) |
(fma.f64 (neg.f64 a) d (*.f64 c b)) |
(fma.f64 c b (*.f64 (neg.f64 a) d)) |
(fma.f64 b c (*.f64 (neg.f64 a) d)) |
(fma.f64 a (neg.f64 d) (*.f64 c b)) |
(fma.f64 (neg.f64 d) a (*.f64 c b)) |
(fma.f64 d (neg.f64 a) (*.f64 c b)) |
(-.f64 (/.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (fma.f64 c b (*.f64 a d))) (/.f64 (pow.f64 (*.f64 a d) #s(literal 2 binary64)) (fma.f64 c b (*.f64 a d)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 a d) #s(literal 2 binary64)) (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 c) b))) (/.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 c) b)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (fma.f64 (*.f64 a d) (fma.f64 c b (*.f64 a d)) (pow.f64 (*.f64 c b) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 a d) #s(literal 3 binary64)) (fma.f64 (*.f64 a d) (fma.f64 c b (*.f64 a d)) (pow.f64 (*.f64 c b) #s(literal 2 binary64))))) |
(-.f64 (*.f64 c b) (*.f64 a d)) |
(+.f64 (*.f64 (neg.f64 a) d) (*.f64 c b)) |
(+.f64 (*.f64 c b) (*.f64 (neg.f64 a) d)) |
(*.f64 #s(literal -1 binary64) d) |
(*.f64 d #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 d d))) (neg.f64 (+.f64 #s(literal 0 binary64) d))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 d #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 d d (*.f64 #s(literal 0 binary64) d))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 d d)) (+.f64 #s(literal 0 binary64) d)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 d #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 d d (*.f64 #s(literal 0 binary64) d)))) |
(neg.f64 d) |
(-.f64 #s(literal 0 binary64) d) |
(+.f64 #s(literal 0 binary64) (neg.f64 d)) |
(*.f64 c b) |
(*.f64 b c) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
(*.f64 (pow.f64 c #s(literal -1 binary64)) (pow.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 c #s(literal -1 binary64)) b) |
(*.f64 #s(literal 1 binary64) (/.f64 b c)) |
(*.f64 (neg.f64 b) (pow.f64 (neg.f64 c) #s(literal -1 binary64))) |
(*.f64 b (pow.f64 c #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 c b) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 c b) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 b))) (neg.f64 (neg.f64 (neg.f64 c)))) |
(/.f64 (neg.f64 (*.f64 b #s(literal 1 binary64))) (neg.f64 c)) |
(/.f64 (*.f64 b #s(literal 1 binary64)) c) |
(/.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 c))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 c b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c b) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 c b)) |
(/.f64 (neg.f64 b) (neg.f64 c)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 c b) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 c b))) |
(/.f64 b c) |
(neg.f64 (/.f64 (neg.f64 b) c)) |
(neg.f64 (/.f64 b (neg.f64 c))) |
(exp.f64 (*.f64 (log.f64 (/.f64 c b)) #s(literal -1 binary64))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a))) |
(*.f64 (/.f64 (*.f64 (neg.f64 a) d) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 (+.f64 c d) (-.f64 c d))) |
(*.f64 (/.f64 (*.f64 (neg.f64 a) d) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (*.f64 (+.f64 d c) (-.f64 d c))) |
(*.f64 (/.f64 (*.f64 (neg.f64 a) d) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64)))) |
(*.f64 (/.f64 (*.f64 (neg.f64 a) d) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (-.f64 (+.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (pow.f64 (*.f64 d c) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) #s(literal -1 binary64)) a) |
(*.f64 (*.f64 (neg.f64 a) d) (pow.f64 (fma.f64 c c (*.f64 d d)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) a)) |
(*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a)) |
(*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))) |
(*.f64 a (neg.f64 (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(*.f64 d (*.f64 (pow.f64 (fma.f64 c c (*.f64 d d)) #s(literal -1 binary64)) (neg.f64 a))) |
(pow.f64 (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (neg.f64 a) d)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 a))) (neg.f64 (/.f64 (fma.f64 c c (*.f64 d d)) d))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 d) (neg.f64 a))) (neg.f64 (neg.f64 (fma.f64 c c (*.f64 d d))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 a) #s(literal 1 binary64))) (neg.f64 (/.f64 (fma.f64 c c (*.f64 d d)) d))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 a) (neg.f64 d))) (neg.f64 (neg.f64 (fma.f64 c c (*.f64 d d))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 a) d))) (neg.f64 (neg.f64 (fma.f64 c c (*.f64 d d))))) |
(/.f64 (neg.f64 (neg.f64 a)) (neg.f64 (/.f64 (fma.f64 c c (*.f64 d d)) d))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 a)) (/.f64 (fma.f64 c c (*.f64 d d)) d)) |
(/.f64 (*.f64 (neg.f64 d) (neg.f64 a)) (neg.f64 (fma.f64 c c (*.f64 d d)))) |
(/.f64 (*.f64 (neg.f64 a) #s(literal 1 binary64)) (/.f64 (fma.f64 c c (*.f64 d d)) d)) |
(/.f64 (*.f64 (neg.f64 a) (neg.f64 d)) (neg.f64 (fma.f64 c c (*.f64 d d)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 a) d)) (neg.f64 (fma.f64 c c (*.f64 d d)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (neg.f64 a) d))) |
(/.f64 (*.f64 (neg.f64 a) d) (fma.f64 c c (*.f64 d d))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (neg.f64 a) d)))) |
(/.f64 (neg.f64 a) (/.f64 (fma.f64 c c (*.f64 d d)) d)) |
(neg.f64 (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) a)) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) a)) |
(*.f64 #s(literal -1 binary64) a) |
(*.f64 a #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a))) (neg.f64 (+.f64 #s(literal 0 binary64) a))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (+.f64 #s(literal 0 binary64) a)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a)))) |
(neg.f64 a) |
(-.f64 #s(literal 0 binary64) a) |
(+.f64 #s(literal 0 binary64) (neg.f64 a)) |
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(*.f64 (/.f64 d (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (*.f64 (+.f64 d c) (-.f64 d c))) |
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(fma.f64 (/.f64 c d) b (*.f64 (neg.f64 (pow.f64 (/.f64 c d) #s(literal 3 binary64))) b)) |
(fma.f64 b (/.f64 c d) (*.f64 b (neg.f64 (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) |
(+.f64 (*.f64 (/.f64 c d) b) (*.f64 (neg.f64 (pow.f64 (/.f64 c d) #s(literal 3 binary64))) b)) |
(+.f64 (*.f64 b (/.f64 c d)) (*.f64 b (neg.f64 (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) |
Compiled 36 592 to 4 081 computations (88.8% saved)
27 alts after pruning (24 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 490 | 20 | 1 510 |
| Fresh | 4 | 4 | 8 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 496 | 27 | 1 523 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 59.4% | (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) |
| 37.9% | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| 36.1% | (/.f64 #s(approx (+ (* (neg d) a) (* b c)) (*.f64 (neg.f64 d) a)) (fma.f64 d d (*.f64 c c))) | |
| 40.8% | (/.f64 #s(approx (+ (* (neg d) a) (* b c)) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) | |
| ▶ | 59.3% | (*.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c)))) |
| 36.2% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (*.f64 (-.f64 (pow.f64 (/.f64 c d) #s(literal 2 binary64)) (pow.f64 (/.f64 c d) #s(literal 6 binary64))) (pow.f64 (+.f64 (pow.f64 (/.f64 c d) #s(literal 3 binary64)) (/.f64 c d)) #s(literal -1 binary64))))) d)) | |
| 58.1% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 b) (/.f64 c d) a) (neg.f64 d))) | |
| ▶ | 57.1% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) |
| ▶ | 30.5% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) c) (*.f64 (/.f64 c b) (/.f64 (*.f64 a d) c))) (*.f64 (/.f64 c b) c))) |
| ✓ | 50.5% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
| 52.6% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) a))) c)) | |
| ▶ | 43.2% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
| 45.1% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (-.f64 (/.f64 b a) (/.f64 d c)) a)) c)) | |
| 22.3% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) | |
| 47.3% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (+ (* (/ (/ c d) d) c) -1) a) (* b (- (/ c d) (pow (/ c d) 3)))) (*.f64 (fma.f64 (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) (/.f64 b a) (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64))) a)) d)) | |
| 24.1% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (+ (* (/ (/ c d) d) c) -1) a) (* b (- (/ c d) (pow (/ c d) 3)))) (*.f64 (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) b)) d)) | |
| ✓ | 41.3% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
| 41.2% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) | |
| 50.1% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (-.f64 (/.f64 b c) (/.f64 (/.f64 (*.f64 a d) c) c))) | |
| ▶ | 43.5% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b)) |
| 41.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) | |
| 29.7% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 d d))))) | |
| 20.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) | |
| 43.1% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)))) | |
| 21.5% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) | |
| 41.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (+ (* (/ (/ c d) d) c) -1) a) (* b (- (/ c d) (pow (/ c d) 3)))) d) (*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)) (/.f64 a d)))) | |
| 23.7% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (+ (* (/ (/ c d) d) c) -1) a) (* b (- (/ c d) (pow (/ c d) 3)))) d) (*.f64 (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) (/.f64 b d)))) |
Compiled 666 to 549 computations (17.6% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) c) (*.f64 (/.f64 c b) (/.f64 (*.f64 a d) c))) (*.f64 (/.f64 c b) c))) | |
| cost-diff | 320 | (*.f64 #s(literal 1 binary64) c) | |
| cost-diff | 1024 | (*.f64 (/.f64 c b) (/.f64 (*.f64 a d) c)) | |
| cost-diff | 1024 | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) c) (*.f64 (/.f64 c b) (/.f64 (*.f64 a d) c))) (*.f64 (/.f64 c b) c)) | |
| cost-diff | 0 | (/.f64 (*.f64 c b) d) | |
| cost-diff | 0 | (-.f64 (/.f64 (*.f64 c b) d) a) | |
| cost-diff | 0 | (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) | |
| cost-diff | 0 | (fma.f64 c c (*.f64 d d)) | |
| cost-diff | 0 | (/.f64 c (fma.f64 c c (*.f64 d d))) | |
| cost-diff | 0 | (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b)) | |
| cost-diff | 0 | (neg.f64 a) | |
| cost-diff | 0 | (/.f64 (neg.f64 a) d) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) | |
| cost-diff | 0 | (*.f64 a d) | |
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | (fma.f64 (neg.f64 b) c (*.f64 a d)) | |
| cost-diff | 320 | (*.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c)))) |
| 12 258× | lower-fma.f32 |
| 12 252× | lower-fma.f64 |
| 3 398× | lower-*.f32 |
| 3 380× | lower-*.f64 |
| 3 294× | lower-/.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 283 |
| 0 | 65 | 275 |
| 1 | 124 | 275 |
| 2 | 317 | 254 |
| 3 | 1329 | 249 |
| 4 | 3988 | 249 |
| 5 | 6796 | 249 |
| 0 | 8005 | 249 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 (neg.f64 b) c (*.f64 a d)) |
(neg.f64 b) |
b |
c |
(*.f64 a d) |
a |
d |
(/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) |
#s(literal -1 binary64) |
(fma.f64 d d (*.f64 c c)) |
(*.f64 c c) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
(/.f64 (neg.f64 a) d) |
(neg.f64 a) |
a |
d |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b)) |
(*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b) |
(/.f64 c (fma.f64 c c (*.f64 d d))) |
c |
(fma.f64 c c (*.f64 d d)) |
(*.f64 d d) |
d |
b |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) |
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) |
(-.f64 (/.f64 (*.f64 c b) d) a) |
(/.f64 (*.f64 c b) d) |
(*.f64 c b) |
c |
b |
d |
a |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) c) (*.f64 (/.f64 c b) (/.f64 (*.f64 a d) c))) (*.f64 (/.f64 c b) c))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) c) (*.f64 (/.f64 c b) (/.f64 (*.f64 a d) c))) (*.f64 (/.f64 c b) c)) |
(-.f64 (*.f64 #s(literal 1 binary64) c) (*.f64 (/.f64 c b) (/.f64 (*.f64 a d) c))) |
(*.f64 #s(literal 1 binary64) c) |
#s(literal 1 binary64) |
c |
(*.f64 (/.f64 c b) (/.f64 (*.f64 a d) c)) |
(/.f64 c b) |
b |
(/.f64 (*.f64 a d) c) |
(*.f64 a d) |
a |
d |
(*.f64 (/.f64 c b) c) |
| Outputs |
|---|
(*.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c)))) |
(/.f64 (fma.f64 (neg.f64 a) d (*.f64 c b)) (fma.f64 d d (*.f64 c c))) |
(fma.f64 (neg.f64 b) c (*.f64 a d)) |
(fma.f64 c (neg.f64 b) (*.f64 d a)) |
(neg.f64 b) |
b |
c |
(*.f64 a d) |
(*.f64 d a) |
a |
d |
(/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) |
#s(literal -1 binary64) |
(fma.f64 d d (*.f64 c c)) |
(*.f64 c c) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
(/.f64 (neg.f64 a) d) |
(neg.f64 a) |
a |
d |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) c)) |
(*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b) |
(*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) c) |
(/.f64 c (fma.f64 c c (*.f64 d d))) |
(/.f64 c (fma.f64 d d (*.f64 c c))) |
c |
(fma.f64 c c (*.f64 d d)) |
(fma.f64 d d (*.f64 c c)) |
(*.f64 d d) |
d |
b |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) |
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) |
(-.f64 (/.f64 (*.f64 c b) d) a) |
(/.f64 (*.f64 c b) d) |
(*.f64 c b) |
c |
b |
d |
a |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) c) (*.f64 (/.f64 c b) (/.f64 (*.f64 a d) c))) (*.f64 (/.f64 c b) c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) c) (*.f64 (/.f64 c b) (/.f64 (*.f64 a d) c))) (*.f64 (/.f64 c b) c)) |
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) |
(-.f64 (*.f64 #s(literal 1 binary64) c) (*.f64 (/.f64 c b) (/.f64 (*.f64 a d) c))) |
(-.f64 c (/.f64 (*.f64 d a) b)) |
(*.f64 #s(literal 1 binary64) c) |
c |
#s(literal 1 binary64) |
c |
(*.f64 (/.f64 c b) (/.f64 (*.f64 a d) c)) |
(/.f64 (*.f64 d a) b) |
(/.f64 c b) |
b |
(/.f64 (*.f64 a d) c) |
(/.f64 (*.f64 d a) c) |
(*.f64 a d) |
(*.f64 d a) |
a |
d |
(*.f64 (/.f64 c b) c) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 3.6344676770704427 | (/.f64 (*.f64 a d) c) | |
| accuracy | 13.611871876885026 | (*.f64 (/.f64 c b) (/.f64 (*.f64 a d) c)) | |
| accuracy | 16.097914477218275 | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) c) (*.f64 (/.f64 c b) (/.f64 (*.f64 a d) c))) (*.f64 (/.f64 c b) c)) | |
| accuracy | 30.035337095685527 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) c) (*.f64 (/.f64 c b) (/.f64 (*.f64 a d) c))) (*.f64 (/.f64 c b) c))) | |
| accuracy | 0.00390625 | (-.f64 (/.f64 (*.f64 c b) d) a) | |
| accuracy | 1.2503578521265384 | (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) | |
| accuracy | 5.6802205421982475 | (/.f64 (*.f64 c b) d) | |
| accuracy | 26.799326662102267 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) | |
| accuracy | 0.00390625 | (fma.f64 c c (*.f64 d d)) | |
| accuracy | 2.800368645333942 | (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b) | |
| accuracy | 18.87269501988545 | (/.f64 c (fma.f64 c c (*.f64 d d))) | |
| accuracy | 25.152791845966426 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b)) | |
| accuracy | 0 | (/.f64 (neg.f64 a) d) | |
| accuracy | 0 | (neg.f64 a) | |
| accuracy | 36.343409387256784 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) | |
| accuracy | 0 | (neg.f64 b) | |
| accuracy | 0.2539034976055602 | (fma.f64 (neg.f64 b) c (*.f64 a d)) | |
| accuracy | 0.33827632761272 | (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) | |
| accuracy | 25.613688174946226 | (*.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c)))) |
| 61.0ms | 256× | 0 | valid |
Compiled 251 to 36 computations (85.7% saved)
ival-mult: 17.0ms (41.2% of total)ival-div: 15.0ms (36.3% of total)ival-sub: 3.0ms (7.3% of total)ival-add: 3.0ms (7.3% of total)ival-neg: 2.0ms (4.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c)))) (patch (*.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 b) c (*.f64 a d)) (patch (fma.f64 (neg.f64 b) c (*.f64 a d)) #<representation binary64>) () ()) |
#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ()) |
#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) #<representation binary64>) () ()) |
#s(alt (/.f64 (neg.f64 a) d) (patch (/.f64 (neg.f64 a) d) #<representation binary64>) () ()) |
#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b) (patch (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b) #<representation binary64>) () ()) |
#s(alt (/.f64 c (fma.f64 c c (*.f64 d d))) (patch (/.f64 c (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ()) |
#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) (patch (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 (*.f64 c b) d) a) (patch (-.f64 (/.f64 (*.f64 c b) d) a) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 c b) d) (patch (/.f64 (*.f64 c b) d) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) c) (*.f64 (/.f64 c b) (/.f64 (*.f64 a d) c))) (*.f64 (/.f64 c b) c)) (patch (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) c) (*.f64 (/.f64 c b) (/.f64 (*.f64 a d) c))) (*.f64 (/.f64 c b) c)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 c b) (/.f64 (*.f64 a d) c)) (patch (*.f64 (/.f64 c b) (/.f64 (*.f64 a d) c)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1 binary64) c) (patch (*.f64 #s(literal 1 binary64) c) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) c) (*.f64 (/.f64 c b) (/.f64 (*.f64 a d) c))) (*.f64 (/.f64 c b) c))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) c) (*.f64 (/.f64 c b) (/.f64 (*.f64 a d) c))) (*.f64 (/.f64 c b) c))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 a d) c) (patch (/.f64 (*.f64 a d) c) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt (*.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c)))) (patch (*.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) (pow d 2)) (taylor -inf d) (#s(alt (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b) (patch (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (/ (* b (pow c 3)) (pow d 2))) (* b c)) (pow d 2)) (taylor -inf d) (#s(alt (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b) (patch (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* b c) (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2))) (pow d 2)) (taylor -inf d) (#s(alt (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b) (patch (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* -1 (/ (* b (pow c 7)) (pow d 6))) (* b c)) (+ (* -1 (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2)))) (pow d 2)) (taylor -inf d) (#s(alt (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b) (patch (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b) #<representation binary64>) () ())) ()) |
#s(alt (/ c (pow d 2)) (taylor -inf d) (#s(alt (/.f64 c (fma.f64 c c (*.f64 d d))) (patch (/.f64 c (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ c (* -1 (/ (pow c 3) (pow d 2)))) (pow d 2)) (taylor -inf d) (#s(alt (/.f64 c (fma.f64 c c (*.f64 d d))) (patch (/.f64 c (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ c (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2))) (pow d 2)) (taylor -inf d) (#s(alt (/.f64 c (fma.f64 c c (*.f64 d d))) (patch (/.f64 c (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ c (* -1 (/ (pow c 7) (pow d 6)))) (+ (* -1 (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2)))) (pow d 2)) (taylor -inf d) (#s(alt (/.f64 c (fma.f64 c c (*.f64 d d))) (patch (/.f64 c (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (pow d 2) (taylor -inf d) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor -inf d) (#s(alt (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) (patch (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) (taylor -inf d) (#s(alt (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) (patch (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) (taylor -inf d) (#s(alt (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) (patch (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) (taylor -inf d) (#s(alt (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) (patch (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 a) (taylor -inf d) (#s(alt (-.f64 (/.f64 (*.f64 c b) d) a) (patch (-.f64 (/.f64 (*.f64 c b) d) a) #<representation binary64>) () ())) ()) |
#s(alt (- (/ (* b c) d) a) (taylor -inf d) (#s(alt (-.f64 (/.f64 (*.f64 c b) d) a) (patch (-.f64 (/.f64 (*.f64 c b) d) a) #<representation binary64>) () ())) ()) |
#s(alt (- (/ (* b c) d) a) (taylor -inf d) (#s(alt (-.f64 (/.f64 (*.f64 c b) d) a) (patch (-.f64 (/.f64 (*.f64 c b) d) a) #<representation binary64>) () ())) ()) |
#s(alt (- (/ (* b c) d) a) (taylor -inf d) (#s(alt (-.f64 (/.f64 (*.f64 c b) d) a) (patch (-.f64 (/.f64 (*.f64 c b) d) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) d) (taylor -inf d) (#s(alt (/.f64 (*.f64 c b) d) (patch (/.f64 (*.f64 c b) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) d) (taylor -inf d) (#s(alt (/.f64 (*.f64 c b) d) (patch (/.f64 (*.f64 c b) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) d) (taylor -inf d) (#s(alt (/.f64 (*.f64 c b) d) (patch (/.f64 (*.f64 c b) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) d) (taylor -inf d) (#s(alt (/.f64 (*.f64 c b) d) (patch (/.f64 (*.f64 c b) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) (pow c 2))) (taylor -inf d) (#s(alt (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) c) (*.f64 (/.f64 c b) (/.f64 (*.f64 a d) c))) (*.f64 (/.f64 c b) c)) (patch (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) c) (*.f64 (/.f64 c b) (/.f64 (*.f64 a d) c))) (*.f64 (/.f64 c b) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) (taylor -inf d) (#s(alt (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) c) (*.f64 (/.f64 c b) (/.f64 (*.f64 a d) c))) (*.f64 (/.f64 c b) c)) (patch (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) c) (*.f64 (/.f64 c b) (/.f64 (*.f64 a d) c))) (*.f64 (/.f64 c b) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) (taylor -inf d) (#s(alt (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) c) (*.f64 (/.f64 c b) (/.f64 (*.f64 a d) c))) (*.f64 (/.f64 c b) c)) (patch (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) c) (*.f64 (/.f64 c b) (/.f64 (*.f64 a d) c))) (*.f64 (/.f64 c b) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) (taylor -inf d) (#s(alt (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) c) (*.f64 (/.f64 c b) (/.f64 (*.f64 a d) c))) (*.f64 (/.f64 c b) c)) (patch (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) c) (*.f64 (/.f64 c b) (/.f64 (*.f64 a d) c))) (*.f64 (/.f64 c b) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) b) (taylor -inf d) (#s(alt (*.f64 (/.f64 c b) (/.f64 (*.f64 a d) c)) (patch (*.f64 (/.f64 c b) (/.f64 (*.f64 a d) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) b) (taylor -inf d) (#s(alt (*.f64 (/.f64 c b) (/.f64 (*.f64 a d) c)) (patch (*.f64 (/.f64 c b) (/.f64 (*.f64 a d) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) b) (taylor -inf d) (#s(alt (*.f64 (/.f64 c b) (/.f64 (*.f64 a d) c)) (patch (*.f64 (/.f64 c b) (/.f64 (*.f64 a d) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) b) (taylor -inf d) (#s(alt (*.f64 (/.f64 c b) (/.f64 (*.f64 a d) c)) (patch (*.f64 (/.f64 c b) (/.f64 (*.f64 a d) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) c) (*.f64 (/.f64 c b) (/.f64 (*.f64 a d) c))) (*.f64 (/.f64 c b) c))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) c) (*.f64 (/.f64 c b) (/.f64 (*.f64 a d) c))) (*.f64 (/.f64 c b) c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) c) (*.f64 (/.f64 c b) (/.f64 (*.f64 a d) c))) (*.f64 (/.f64 c b) c))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) c) (*.f64 (/.f64 c b) (/.f64 (*.f64 a d) c))) (*.f64 (/.f64 c b) c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) c) (*.f64 (/.f64 c b) (/.f64 (*.f64 a d) c))) (*.f64 (/.f64 c b) c))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) c) (*.f64 (/.f64 c b) (/.f64 (*.f64 a d) c))) (*.f64 (/.f64 c b) c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) c) (*.f64 (/.f64 c b) (/.f64 (*.f64 a d) c))) (*.f64 (/.f64 c b) c))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) c) (*.f64 (/.f64 c b) (/.f64 (*.f64 a d) c))) (*.f64 (/.f64 c b) c))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow d 2)) (taylor -inf d) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (/ (pow c 2) (pow d 2)) 1) (pow d 2)) (taylor -inf d) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (pow c 4) (pow d 4))) (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) (pow d 2)) (taylor -inf d) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (/ (pow c 6) (pow d 6)) (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (pow c 4) (pow d 4))))) (pow d 2)) (taylor -inf d) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor -inf d) (#s(alt (/.f64 (*.f64 a d) c) (patch (/.f64 (*.f64 a d) c) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor -inf d) (#s(alt (/.f64 (*.f64 a d) c) (patch (/.f64 (*.f64 a d) c) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor -inf d) (#s(alt (/.f64 (*.f64 a d) c) (patch (/.f64 (*.f64 a d) c) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor -inf d) (#s(alt (/.f64 (*.f64 a d) c) (patch (/.f64 (*.f64 a d) c) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | b | @ | -inf | ((* (+ (* (neg b) c) (* a d)) (/ -1 (+ (* d d) (* c c)))) (+ (* (neg b) c) (* a d)) (neg b) (* a d) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (neg a) d) (neg a) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (/ c (+ (* c c) (* d d))) b) (/ c (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- (/ (* c b) d) a) d) (- (/ (* c b) d) a) (/ (* c b) d) (/ (- (* 1 c) (* (/ c b) (/ (* a d) c))) (* (/ c b) c)) (* (/ c b) (/ (* a d) c)) (* 1 c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ -1 (+ (* d d) (* c c))) (/ (* a d) c)) |
| 5.0ms | c | @ | 0 | ((* (+ (* (neg b) c) (* a d)) (/ -1 (+ (* d d) (* c c)))) (+ (* (neg b) c) (* a d)) (neg b) (* a d) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (neg a) d) (neg a) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (/ c (+ (* c c) (* d d))) b) (/ c (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- (/ (* c b) d) a) d) (- (/ (* c b) d) a) (/ (* c b) d) (/ (- (* 1 c) (* (/ c b) (/ (* a d) c))) (* (/ c b) c)) (* (/ c b) (/ (* a d) c)) (* 1 c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ -1 (+ (* d d) (* c c))) (/ (* a d) c)) |
| 5.0ms | d | @ | inf | ((* (+ (* (neg b) c) (* a d)) (/ -1 (+ (* d d) (* c c)))) (+ (* (neg b) c) (* a d)) (neg b) (* a d) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (neg a) d) (neg a) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (/ c (+ (* c c) (* d d))) b) (/ c (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- (/ (* c b) d) a) d) (- (/ (* c b) d) a) (/ (* c b) d) (/ (- (* 1 c) (* (/ c b) (/ (* a d) c))) (* (/ c b) c)) (* (/ c b) (/ (* a d) c)) (* 1 c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ -1 (+ (* d d) (* c c))) (/ (* a d) c)) |
| 4.0ms | d | @ | 0 | ((* (+ (* (neg b) c) (* a d)) (/ -1 (+ (* d d) (* c c)))) (+ (* (neg b) c) (* a d)) (neg b) (* a d) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (neg a) d) (neg a) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (/ c (+ (* c c) (* d d))) b) (/ c (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- (/ (* c b) d) a) d) (- (/ (* c b) d) a) (/ (* c b) d) (/ (- (* 1 c) (* (/ c b) (/ (* a d) c))) (* (/ c b) c)) (* (/ c b) (/ (* a d) c)) (* 1 c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ -1 (+ (* d d) (* c c))) (/ (* a d) c)) |
| 4.0ms | a | @ | -inf | ((* (+ (* (neg b) c) (* a d)) (/ -1 (+ (* d d) (* c c)))) (+ (* (neg b) c) (* a d)) (neg b) (* a d) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (neg a) d) (neg a) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (/ c (+ (* c c) (* d d))) b) (/ c (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- (/ (* c b) d) a) d) (- (/ (* c b) d) a) (/ (* c b) d) (/ (- (* 1 c) (* (/ c b) (/ (* a d) c))) (* (/ c b) c)) (* (/ c b) (/ (* a d) c)) (* 1 c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ -1 (+ (* d d) (* c c))) (/ (* a d) c)) |
| 1× | egg-herbie |
| 8 994× | lower-fma.f64 |
| 8 994× | lower-fma.f32 |
| 5 054× | lower-*.f64 |
| 5 054× | lower-*.f32 |
| 2 204× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 517 | 8883 |
| 1 | 1638 | 8434 |
| 2 | 4930 | 8330 |
| 0 | 8249 | 7963 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(+ (* -1 (/ a d)) (* c (+ (* c (+ (* -1 (/ (* b c) (pow d 4))) (/ a (pow d 3)))) (/ b (pow d 2))))) |
(* a d) |
(+ (* -1 (* b c)) (* a d)) |
(+ (* -1 (* b c)) (* a d)) |
(+ (* -1 (* b c)) (* a d)) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(/ (* b c) (pow d 2)) |
(* c (+ (* -1 (/ (* b (pow c 2)) (pow d 4))) (/ b (pow d 2)))) |
(* c (+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 6)) (/ b (pow d 4)))) (/ b (pow d 2)))) |
(* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 8))) (* -1 (/ b (pow d 6))))) (/ b (pow d 4)))) (/ b (pow d 2)))) |
(/ c (pow d 2)) |
(* c (+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2)))) |
(* c (+ (* (pow c 2) (- (/ (pow c 2) (pow d 6)) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))) |
(* c (+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 8))) (/ 1 (pow d 6)))) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))) |
(pow d 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(* -1 a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(* -1 (/ (* a d) (pow c 2))) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(/ (* a d) b) |
(/ (* a d) b) |
(/ (* a d) b) |
(/ (* a d) b) |
c |
c |
c |
c |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(/ -1 (pow d 2)) |
(- (/ (pow c 2) (pow d 4)) (/ 1 (pow d 2))) |
(- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 6))) (/ 1 (pow d 4)))) (/ 1 (pow d 2))) |
(- (* (pow c 2) (+ (* (pow c 2) (- (/ (pow c 2) (pow d 8)) (/ 1 (pow d 6)))) (/ 1 (pow d 4)))) (/ 1 (pow d 2))) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (+ (* -1 (/ (* b (pow d 2)) (pow c 2))) (/ (* a (pow d 3)) (pow c 3))))) c) |
(* -1 (* b c)) |
(* c (+ (* -1 b) (/ (* a d) c))) |
(* c (+ (* -1 b) (/ (* a d) c))) |
(* c (+ (* -1 b) (/ (* a d) c))) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(/ b c) |
(/ (+ b (* -1 (/ (* b (pow d 2)) (pow c 2)))) c) |
(/ (- (+ b (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2))) c) |
(/ (- (+ b (* -1 (/ (* b (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2)))) c) |
(/ 1 c) |
(/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) c) |
(/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) c) |
(/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) c) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(/ (* b c) (pow d 2)) |
(* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2)))) |
(* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2)))) |
(* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2)))) |
(/ (* b c) d) |
(* c (+ (* -1 (/ a c)) (/ b d))) |
(* c (+ (* -1 (/ a c)) (/ b d))) |
(* c (+ (* -1 (/ a c)) (/ b d))) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (* a d) b) |
(/ (* a d) b) |
(/ (* a d) b) |
(/ (* a d) b) |
c |
c |
c |
c |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(/ -1 (pow c 2)) |
(/ (- (/ (pow d 2) (pow c 2)) 1) (pow c 2)) |
(/ (- (* -1 (/ (pow d 4) (pow c 4))) (+ 1 (* -1 (/ (pow d 2) (pow c 2))))) (pow c 2)) |
(/ (- (/ (pow d 6) (pow c 6)) (+ 1 (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (pow d 4) (pow c 4))))) (pow c 2)) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (+ (* -1 (/ (* a (pow d 3)) c)) (* b (pow d 2))) c))) c))) c)) |
(* -1 (* b c)) |
(* -1 (* c (+ b (* -1 (/ (* a d) c))))) |
(* -1 (* c (+ b (* -1 (/ (* a d) c))))) |
(* -1 (* c (+ b (* -1 (/ (* a d) c))))) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* b (pow d 2)) (pow c 2))) c)) |
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2)))) c)) |
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (+ (/ (* b (pow d 2)) (pow c 2)) (/ (* b (pow d 6)) (pow c 6))))) c)) |
(/ 1 c) |
(* -1 (/ (- (/ (pow d 2) (pow c 2)) 1) c)) |
(* -1 (/ (- (* -1 (/ (pow d 4) (pow c 4))) (+ 1 (* -1 (/ (pow d 2) (pow c 2))))) c)) |
(* -1 (/ (- (/ (pow d 6) (pow c 6)) (+ 1 (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (pow d 4) (pow c 4))))) c)) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) |
(/ (* b c) (pow d 2)) |
(* -1 (* c (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))) |
(* -1 (* c (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))) |
(* -1 (* c (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))) |
(/ (* b c) d) |
(* -1 (* c (+ (* -1 (/ b d)) (/ a c)))) |
(* -1 (* c (+ (* -1 (/ b d)) (/ a c)))) |
(* -1 (* c (+ (* -1 (/ b d)) (/ a c)))) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(/ (* a d) b) |
(/ (* a d) b) |
(/ (* a d) b) |
(/ (* a d) b) |
c |
c |
c |
c |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) |
(/ -1 (pow c 2)) |
(/ (- (/ (pow d 2) (pow c 2)) 1) (pow c 2)) |
(/ (- (* -1 (/ (pow d 4) (pow c 4))) (+ 1 (* -1 (/ (pow d 2) (pow c 2))))) (pow c 2)) |
(/ (- (/ (pow d 6) (pow c 6)) (+ 1 (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (pow d 4) (pow c 4))))) (pow c 2)) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* a d) |
(+ (* -1 (* b c)) (* a d)) |
(+ (* -1 (* b c)) (* a d)) |
(+ (* -1 (* b c)) (* a d)) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(* -1 a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(* -1 (/ (* a d) (pow c 2))) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(/ (* a d) b) |
(/ (* a d) b) |
(/ (* a d) b) |
(/ (* a d) b) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* -1 (* b c)) |
(* b (+ (* -1 c) (/ (* a d) b))) |
(* b (+ (* -1 c) (/ (* a d) b))) |
(* b (+ (* -1 c) (/ (* a d) b))) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(/ (* b c) (pow d 2)) |
(* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2)))) |
(* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2)))) |
(* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2)))) |
(/ (* b c) d) |
(* b (+ (* -1 (/ a b)) (/ c d))) |
(* b (+ (* -1 (/ a b)) (/ c d))) |
(* b (+ (* -1 (/ a b)) (/ c d))) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ b c) |
(* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c))) |
(* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c))) |
(* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c))) |
(/ (* a d) b) |
(/ (* a d) b) |
(/ (* a d) b) |
(/ (* a d) b) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b c)) |
(* -1 (* b (+ c (* -1 (/ (* a d) b))))) |
(* -1 (* b (+ c (* -1 (/ (* a d) b))))) |
(* -1 (* b (+ c (* -1 (/ (* a d) b))))) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(/ (* b c) (pow d 2)) |
(* -1 (* b (+ (* -1 (/ c (pow d 2))) (/ a (* b d))))) |
(* -1 (* b (+ (* -1 (/ c (pow d 2))) (/ a (* b d))))) |
(* -1 (* b (+ (* -1 (/ c (pow d 2))) (/ a (* b d))))) |
(/ (* b c) d) |
(* -1 (* b (+ (* -1 (/ c d)) (/ a b)))) |
(* -1 (* b (+ (* -1 (/ c d)) (/ a b)))) |
(* -1 (* b (+ (* -1 (/ c d)) (/ a b)))) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ b c) |
(* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c)))) |
(* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c)))) |
(* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c)))) |
(/ (* a d) b) |
(/ (* a d) b) |
(/ (* a d) b) |
(/ (* a d) b) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* -1 (* b c)) |
(+ (* -1 (* b c)) (* a d)) |
(+ (* -1 (* b c)) (* a d)) |
(+ (* -1 (* b c)) (* a d)) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(/ (* b c) (pow d 2)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/ (* b c) d) |
(+ (* -1 a) (/ (* b c) d)) |
(+ (* -1 a) (/ (* b c) d)) |
(+ (* -1 a) (/ (* b c) d)) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(/ (* a d) b) |
(/ (* a d) b) |
(/ (* a d) b) |
(/ (* a d) b) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a d) |
(* a (+ d (* -1 (/ (* b c) a)))) |
(* a (+ d (* -1 (/ (* b c) a)))) |
(* a (+ d (* -1 (/ (* b c) a)))) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ a d)) |
(* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d))) |
(* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d))) |
(* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d))) |
(* -1 a) |
(* a (- (/ (* b c) (* a d)) 1)) |
(* a (- (/ (* b c) (* a d)) 1)) |
(* a (- (/ (* b c) (* a d)) 1)) |
(* -1 (/ (* a d) (pow c 2))) |
(* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c)))) |
(* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c)))) |
(* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c)))) |
(/ (* a d) b) |
(/ (* a d) b) |
(/ (* a d) b) |
(/ (* a d) b) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* a d) |
(* -1 (* a (+ (* -1 d) (/ (* b c) a)))) |
(* -1 (* a (+ (* -1 d) (/ (* b c) a)))) |
(* -1 (* a (+ (* -1 d) (/ (* b c) a)))) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ a d)) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (/ 1 d)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (/ 1 d)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (/ 1 d)))) |
(* -1 a) |
(* -1 (* a (+ 1 (* -1 (/ (* b c) (* a d)))))) |
(* -1 (* a (+ 1 (* -1 (/ (* b c) (* a d)))))) |
(* -1 (* a (+ 1 (* -1 (/ (* b c) (* a d)))))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2))))) |
(* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2))))) |
(* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2))))) |
(/ (* a d) b) |
(/ (* a d) b) |
(/ (* a d) b) |
(/ (* a d) b) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (+ (* -1 (/ b (pow c 3))) (/ (* a d) (pow c 4)))))) (/ b c)) |
(* -1 (* b c)) |
(+ (* -1 (* b c)) (* a d)) |
(+ (* -1 (* b c)) (* a d)) |
(+ (* -1 (* b c)) (* a d)) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(/ b c) |
(+ (* -1 (/ (* b (pow d 2)) (pow c 3))) (/ b c)) |
(+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 5)) (/ b (pow c 3)))) (/ b c)) |
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 7))) (* -1 (/ b (pow c 5))))) (/ b (pow c 3)))) (/ b c)) |
(/ 1 c) |
(+ (* -1 (/ (pow d 2) (pow c 3))) (/ 1 c)) |
(+ (* (pow d 2) (- (/ (pow d 2) (pow c 5)) (/ 1 (pow c 3)))) (/ 1 c)) |
(+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 7))) (/ 1 (pow c 5)))) (/ 1 (pow c 3)))) (/ 1 c)) |
(pow c 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(/ (* b c) (pow d 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow d 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow d 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow d 2)) |
(/ (* b c) d) |
(/ (+ (* -1 (* a d)) (* b c)) d) |
(/ (+ (* -1 (* a d)) (* b c)) d) |
(/ (+ (* -1 (* a d)) (* b c)) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(/ (* a d) b) |
(/ (* a d) b) |
(/ (* a d) b) |
(/ (* a d) b) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(/ -1 (pow c 2)) |
(- (/ (pow d 2) (pow c 4)) (/ 1 (pow c 2))) |
(- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 6))) (/ 1 (pow c 4)))) (/ 1 (pow c 2))) |
(- (* (pow d 2) (+ (* (pow d 2) (- (/ (pow d 2) (pow c 8)) (/ 1 (pow c 6)))) (/ 1 (pow c 4)))) (/ 1 (pow c 2))) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d)))) d) |
(* a d) |
(* d (+ a (* -1 (/ (* b c) d)))) |
(* d (+ a (* -1 (/ (* b c) d)))) |
(* d (+ a (* -1 (/ (* b c) d)))) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(/ (* b c) (pow d 2)) |
(/ (+ (* -1 (/ (* b (pow c 3)) (pow d 2))) (* b c)) (pow d 2)) |
(/ (- (+ (* b c) (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2))) (pow d 2)) |
(/ (- (+ (* -1 (/ (* b (pow c 7)) (pow d 6))) (* b c)) (+ (* -1 (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2)))) (pow d 2)) |
(/ c (pow d 2)) |
(/ (+ c (* -1 (/ (pow c 3) (pow d 2)))) (pow d 2)) |
(/ (- (+ c (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2))) (pow d 2)) |
(/ (- (+ c (* -1 (/ (pow c 7) (pow d 6)))) (+ (* -1 (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2)))) (pow d 2)) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(* -1 a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(* -1 (/ (* a d) (pow c 2))) |
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(/ (* a d) b) |
(/ (* a d) b) |
(/ (* a d) b) |
(/ (* a d) b) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(/ -1 (pow d 2)) |
(/ (- (/ (pow c 2) (pow d 2)) 1) (pow d 2)) |
(/ (- (* -1 (/ (pow c 4) (pow d 4))) (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) (pow d 2)) |
(/ (- (/ (pow c 6) (pow d 6)) (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (pow c 4) (pow d 4))))) (pow d 2)) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (+ (* -1 (* a (pow c 2))) (/ (* b (pow c 3)) d)) d)) (* b c)) d))) d)) |
(* a d) |
(* -1 (* d (+ (* -1 a) (/ (* b c) d)))) |
(* -1 (* d (+ (* -1 a) (/ (* b c) d)))) |
(* -1 (* d (+ (* -1 a) (/ (* b c) d)))) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(/ (* b c) (pow d 2)) |
(/ (+ (* -1 (/ (* b (pow c 3)) (pow d 2))) (* b c)) (pow d 2)) |
(/ (- (+ (* b c) (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2))) (pow d 2)) |
(/ (- (+ (* -1 (/ (* b (pow c 7)) (pow d 6))) (* b c)) (+ (* -1 (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2)))) (pow d 2)) |
(/ c (pow d 2)) |
(/ (+ c (* -1 (/ (pow c 3) (pow d 2)))) (pow d 2)) |
(/ (- (+ c (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2))) (pow d 2)) |
(/ (- (+ c (* -1 (/ (pow c 7) (pow d 6)))) (+ (* -1 (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2)))) (pow d 2)) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(/ (* a d) b) |
(/ (* a d) b) |
(/ (* a d) b) |
(/ (* a d) b) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(/ -1 (pow d 2)) |
(/ (- (/ (pow c 2) (pow d 2)) 1) (pow d 2)) |
(/ (- (* -1 (/ (pow c 4) (pow d 4))) (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) (pow d 2)) |
(/ (- (/ (pow c 6) (pow d 6)) (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (pow c 4) (pow d 4))))) (pow d 2)) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
| Outputs |
|---|
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 3 binary64))) a (/.f64 b (*.f64 d d))) c (/.f64 (neg.f64 a) d)) |
(+ (* -1 (/ a d)) (* c (+ (* c (+ (* -1 (/ (* b c) (pow d 4))) (/ a (pow d 3)))) (/ b (pow d 2))))) |
(fma.f64 (*.f64 c c) (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) (neg.f64 b) (/.f64 a (pow.f64 d #s(literal 3 binary64)))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) |
(* a d) |
(*.f64 d a) |
(+ (* -1 (* b c)) (* a d)) |
(fma.f64 (neg.f64 c) b (*.f64 d a)) |
(+ (* -1 (* b c)) (* a d)) |
(fma.f64 (neg.f64 c) b (*.f64 d a)) |
(+ (* -1 (* b c)) (* a d)) |
(fma.f64 (neg.f64 c) b (*.f64 d a)) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 3 binary64))) a (/.f64 b (*.f64 d d))) c (/.f64 (neg.f64 a) d)) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(fma.f64 (*.f64 c c) (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) (neg.f64 b) (/.f64 a (pow.f64 d #s(literal 3 binary64)))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 3 binary64))) a (/.f64 b (*.f64 d d))) c (/.f64 (neg.f64 a) d)) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(fma.f64 (*.f64 c c) (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) (neg.f64 b) (/.f64 a (pow.f64 d #s(literal 3 binary64)))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) |
(/ (* b c) (pow d 2)) |
(*.f64 (/.f64 c (*.f64 d d)) b) |
(* c (+ (* -1 (/ (* b (pow c 2)) (pow d 4))) (/ b (pow d 2)))) |
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(/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 c b (/.f64 (*.f64 (*.f64 c c) a) d)) d)) (neg.f64 d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 c b (/.f64 (fma.f64 (*.f64 c c) a (/.f64 (*.f64 (neg.f64 (pow.f64 c #s(literal 3 binary64))) b) d)) d)) d)) (neg.f64 d)) |
(/ -1 (pow d 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 d d)) |
(/ (- (/ (pow c 2) (pow d 2)) 1) (pow d 2)) |
(fma.f64 c (/.f64 c (pow.f64 d #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 d d))) |
(/ (- (* -1 (/ (pow c 4) (pow d 4))) (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) (pow d 2)) |
(/.f64 (-.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 d d)) |
(/ (- (/ (pow c 6) (pow d 6)) (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (pow c 4) (pow d 4))))) (pow d 2)) |
(/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64))) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 d d)) |
(/ (* a d) c) |
(/.f64 (*.f64 d a) c) |
(/ (* a d) c) |
(/.f64 (*.f64 d a) c) |
(/ (* a d) c) |
(/.f64 (*.f64 d a) c) |
(/ (* a d) c) |
(/.f64 (*.f64 d a) c) |
| 4 836× | lower-fma.f32 |
| 4 830× | lower-fma.f64 |
| 4 700× | lower-/.f32 |
| 4 684× | lower-/.f64 |
| 4 438× | lower-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 225 |
| 0 | 65 | 219 |
| 1 | 258 | 218 |
| 2 | 2033 | 218 |
| 0 | 8454 | 218 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 (neg.f64 b) c (*.f64 a d)) |
(neg.f64 b) |
(*.f64 a d) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
(/.f64 (neg.f64 a) d) |
(neg.f64 a) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b)) |
(*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b) |
(/.f64 c (fma.f64 c c (*.f64 d d))) |
(fma.f64 c c (*.f64 d d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) |
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) |
(-.f64 (/.f64 (*.f64 c b) d) a) |
(/.f64 (*.f64 c b) d) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) c) (*.f64 (/.f64 c b) (/.f64 (*.f64 a d) c))) (*.f64 (/.f64 c b) c)) |
(*.f64 (/.f64 c b) (/.f64 (*.f64 a d) c)) |
(*.f64 #s(literal 1 binary64) c) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) c) (*.f64 (/.f64 c b) (/.f64 (*.f64 a d) c))) (*.f64 (/.f64 c b) c))) |
(/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) |
(/.f64 (*.f64 a d) c) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 c (neg.f64 b) (*.f64 d a))) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 (+.f64 c d) (-.f64 c d))) |
(*.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 c (neg.f64 b) (*.f64 d a))) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (*.f64 (+.f64 d c) (-.f64 d c))) |
(*.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 c (neg.f64 b) (*.f64 d a))) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 c (neg.f64 b) (*.f64 d a))) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (-.f64 (+.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (pow.f64 (*.f64 d c) #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal -1 binary64) (fma.f64 c (neg.f64 b) (*.f64 d a))) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (fma.f64 c (neg.f64 b) (*.f64 d a))) |
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) (fma.f64 c (neg.f64 b) (*.f64 d a)))) |
(*.f64 (fma.f64 c (neg.f64 b) (*.f64 d a)) (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c)))) |
(pow.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 #s(literal -1 binary64) (fma.f64 c (neg.f64 b) (*.f64 d a)))) #s(literal -1 binary64)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 c (neg.f64 b)) (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 d a) (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 c (neg.f64 b)) (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c)))) (*.f64 (*.f64 c (neg.f64 b)) (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c)))) (-.f64 (*.f64 (*.f64 (*.f64 d a) (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c)))) (*.f64 (*.f64 d a) (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))))) (*.f64 (*.f64 (*.f64 c (neg.f64 b)) (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c)))) (*.f64 (*.f64 d a) (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c)))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 d a) (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 c (neg.f64 b)) (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 d a) (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c)))) (*.f64 (*.f64 d a) (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c)))) (-.f64 (*.f64 (*.f64 (*.f64 c (neg.f64 b)) (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c)))) (*.f64 (*.f64 c (neg.f64 b)) (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))))) (*.f64 (*.f64 (*.f64 d a) (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c)))) (*.f64 (*.f64 c (neg.f64 b)) (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c)))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c (neg.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 d a)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c (neg.f64 b))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c (neg.f64 b))) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 d a)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 d a))) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c (neg.f64 b))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 d a)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 d a)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c (neg.f64 b))) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 d a)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 d a)) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c (neg.f64 b))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c (neg.f64 b)))) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 d a)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c (neg.f64 b))))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 c (neg.f64 b) (*.f64 d a)))) (neg.f64 (*.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 c (neg.f64 b) (*.f64 d a)))) (neg.f64 (neg.f64 (fma.f64 d d (*.f64 c c))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (pow.f64 (*.f64 d a) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))))) (neg.f64 (fma.f64 (neg.f64 c) b (*.f64 (neg.f64 d) a)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))))) (neg.f64 (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 c b) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (-.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (pow.f64 (*.f64 d a) #s(literal 2 binary64))))) (neg.f64 (fma.f64 (neg.f64 c) b (*.f64 (neg.f64 d) a)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (+.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 c b) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 c (neg.f64 b) (*.f64 d a)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 c (neg.f64 b) (*.f64 d a)) #s(literal 1 binary64))) (neg.f64 (neg.f64 (fma.f64 d d (*.f64 c c))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (fma.f64 c (neg.f64 b) (*.f64 d a))))) (neg.f64 (neg.f64 (fma.f64 d d (*.f64 c c))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (pow.f64 (*.f64 d a) #s(literal 2 binary64))))) (neg.f64 (*.f64 (*.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) (fma.f64 (neg.f64 c) b (*.f64 (neg.f64 d) a))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (pow.f64 (*.f64 d a) #s(literal 2 binary64))))) (neg.f64 (*.f64 (neg.f64 (fma.f64 d d (*.f64 c c))) (fma.f64 (neg.f64 c) b (*.f64 (neg.f64 d) a))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64))))) (neg.f64 (*.f64 (*.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 c b) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64))))) (neg.f64 (*.f64 (neg.f64 (fma.f64 d d (*.f64 c c))) (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 c b) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (pow.f64 (*.f64 d a) #s(literal 2 binary64))))) (neg.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (neg.f64 c) b (*.f64 (neg.f64 d) a))))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64))))) (neg.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 c b) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (pow.f64 (*.f64 d a) #s(literal 2 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (neg.f64 c) b (*.f64 (neg.f64 d) a)) (*.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (pow.f64 (*.f64 d a) #s(literal 2 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (neg.f64 c) b (*.f64 (neg.f64 d) a)) (neg.f64 (fma.f64 d d (*.f64 c c)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (pow.f64 (*.f64 d a) #s(literal 2 binary64))) #s(literal -1 binary64))) (neg.f64 (*.f64 (fma.f64 (neg.f64 c) b (*.f64 (neg.f64 d) a)) (fma.f64 d d (*.f64 c c))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 c b) #s(literal 2 binary64))) (*.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 c b) #s(literal 2 binary64))) (neg.f64 (fma.f64 d d (*.f64 c c)))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64))) #s(literal -1 binary64))) (neg.f64 (*.f64 (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 c b) #s(literal 2 binary64))) (fma.f64 d d (*.f64 c c))))) |
(/.f64 (neg.f64 (fma.f64 c (neg.f64 b) (*.f64 d a))) (neg.f64 (*.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 c (neg.f64 b) (*.f64 d a))) (neg.f64 (neg.f64 (fma.f64 d d (*.f64 c c))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 c (neg.f64 b) (*.f64 d a))) (*.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 c (neg.f64 b) (*.f64 d a))) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (pow.f64 (*.f64 d a) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c)))) (fma.f64 (neg.f64 c) b (*.f64 (neg.f64 d) a))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c)))) (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 c b) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (-.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (pow.f64 (*.f64 d a) #s(literal 2 binary64)))) (fma.f64 (neg.f64 c) b (*.f64 (neg.f64 d) a))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (+.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64)))) (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 c b) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (fma.f64 c (neg.f64 b) (*.f64 d a)) #s(literal 1 binary64)) (*.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 c (neg.f64 b) (*.f64 d a)) #s(literal 1 binary64)) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (fma.f64 c (neg.f64 b) (*.f64 d a)))) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (pow.f64 (*.f64 d a) #s(literal 2 binary64)))) (*.f64 (*.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) (fma.f64 (neg.f64 c) b (*.f64 (neg.f64 d) a)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (pow.f64 (*.f64 d a) #s(literal 2 binary64)))) (*.f64 (neg.f64 (fma.f64 d d (*.f64 c c))) (fma.f64 (neg.f64 c) b (*.f64 (neg.f64 d) a)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64)))) (*.f64 (*.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 c b) #s(literal 2 binary64))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64)))) (*.f64 (neg.f64 (fma.f64 d d (*.f64 c c))) (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 c b) #s(literal 2 binary64))))) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (pow.f64 (*.f64 d a) #s(literal 2 binary64)))) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (neg.f64 c) b (*.f64 (neg.f64 d) a)))) |
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64)))) (*.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 c b) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (pow.f64 (*.f64 d a) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (neg.f64 c) b (*.f64 (neg.f64 d) a)) (*.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (pow.f64 (*.f64 d a) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (neg.f64 c) b (*.f64 (neg.f64 d) a)) (neg.f64 (fma.f64 d d (*.f64 c c))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (pow.f64 (*.f64 d a) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 (neg.f64 c) b (*.f64 (neg.f64 d) a)) (fma.f64 d d (*.f64 c c)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 c b) #s(literal 2 binary64))) (*.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 c b) #s(literal 2 binary64))) (neg.f64 (fma.f64 d d (*.f64 c c))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 c b) #s(literal 2 binary64))) (fma.f64 d d (*.f64 c c)))) |
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 c (neg.f64 b) (*.f64 d a))) (fma.f64 d d (*.f64 c c))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 #s(literal -1 binary64) (fma.f64 c (neg.f64 b) (*.f64 d a))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 #s(literal -1 binary64) (fma.f64 c (neg.f64 b) (*.f64 d a)))))) |
(/.f64 (fma.f64 c (neg.f64 b) (*.f64 d a)) (*.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64))) |
(/.f64 (fma.f64 c (neg.f64 b) (*.f64 d a)) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
(fma.f64 (*.f64 c (neg.f64 b)) (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 (*.f64 d a) (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c (neg.f64 b)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 d a))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 d a) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c (neg.f64 b)))) |
(fma.f64 (*.f64 d a) (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 (*.f64 c (neg.f64 b)) (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (fma.f64 (neg.f64 c) b (*.f64 (neg.f64 d) a))) (*.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64))) (/.f64 (/.f64 (pow.f64 (*.f64 d a) #s(literal 2 binary64)) (fma.f64 (neg.f64 c) b (*.f64 (neg.f64 d) a))) (*.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (*.f64 d a) (*.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64))) (/.f64 (*.f64 c b) (*.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (fma.f64 (neg.f64 c) b (*.f64 (neg.f64 d) a))) (neg.f64 (fma.f64 d d (*.f64 c c)))) (/.f64 (/.f64 (pow.f64 (*.f64 d a) #s(literal 2 binary64)) (fma.f64 (neg.f64 c) b (*.f64 (neg.f64 d) a))) (neg.f64 (fma.f64 d d (*.f64 c c))))) |
(-.f64 (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c)))) (/.f64 (*.f64 c b) (neg.f64 (fma.f64 d d (*.f64 c c))))) |
(+.f64 (*.f64 (*.f64 c (neg.f64 b)) (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c)))) (*.f64 (*.f64 d a) (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))))) |
(+.f64 (*.f64 (*.f64 d a) (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c)))) (*.f64 (*.f64 c (neg.f64 b)) (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c (neg.f64 b))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 d a))) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 d a)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 c (neg.f64 b)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (pow.f64 (*.f64 d a) #s(literal 2 binary64))) (pow.f64 (fma.f64 (neg.f64 c) b (*.f64 (neg.f64 d) a)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 c b) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (neg.f64 c) b (*.f64 (neg.f64 d) a)) (-.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (pow.f64 (*.f64 d a) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 c b) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (fma.f64 (neg.f64 c) b (*.f64 (neg.f64 d) a))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 d a) #s(literal 2 binary64)) (fma.f64 (neg.f64 c) b (*.f64 (neg.f64 d) a))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (fma.f64 (neg.f64 c) b (*.f64 (neg.f64 d) a))) (/.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (fma.f64 (neg.f64 c) b (*.f64 (neg.f64 d) a))) (fma.f64 (/.f64 (pow.f64 (*.f64 d a) #s(literal 2 binary64)) (fma.f64 (neg.f64 c) b (*.f64 (neg.f64 d) a))) (/.f64 (pow.f64 (*.f64 d a) #s(literal 2 binary64)) (fma.f64 (neg.f64 c) b (*.f64 (neg.f64 d) a))) (*.f64 (/.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (fma.f64 (neg.f64 c) b (*.f64 (neg.f64 d) a))) (/.f64 (pow.f64 (*.f64 d a) #s(literal 2 binary64)) (fma.f64 (neg.f64 c) b (*.f64 (neg.f64 d) a))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 d a) #s(literal 3 binary64)) (pow.f64 (*.f64 c b) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 d a) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (*.f64 b (*.f64 (*.f64 d a) c))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 d a) #s(literal 2 binary64)) (pow.f64 (*.f64 c b) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 d a) (*.f64 c (neg.f64 b))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 c b) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (pow.f64 (*.f64 d a) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 c) b (*.f64 (neg.f64 d) a))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (fma.f64 (neg.f64 c) b (*.f64 (neg.f64 d) a))) (*.f64 (fma.f64 (neg.f64 c) b (*.f64 (neg.f64 d) a)) (pow.f64 (*.f64 d a) #s(literal 2 binary64)))) (*.f64 (fma.f64 (neg.f64 c) b (*.f64 (neg.f64 d) a)) (fma.f64 (neg.f64 c) b (*.f64 (neg.f64 d) a)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 d a) #s(literal 2 binary64)) (pow.f64 (*.f64 c b) #s(literal 2 binary64))) (-.f64 (*.f64 d a) (*.f64 c (neg.f64 b)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 d a) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 c (neg.f64 b)) d) a))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 c b) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (pow.f64 (*.f64 d a) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (neg.f64 c) b (*.f64 (neg.f64 d) a)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (pow.f64 (*.f64 d a) #s(literal 2 binary64))) (fma.f64 (neg.f64 c) b (*.f64 (neg.f64 d) a))) |
(/.f64 (+.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 d a) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 c (neg.f64 b)) d) a)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64))) (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 c b) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 c) b (*.f64 (neg.f64 d) a)) (-.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (pow.f64 (*.f64 d a) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 c b) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (neg.f64 c) b (*.f64 (neg.f64 d) a)) (-.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (pow.f64 (*.f64 d a) #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 c b) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 (neg.f64 b) #s(literal 1 binary64)) c (*.f64 d a)) |
(fma.f64 (neg.f64 c) b (*.f64 d a)) |
(fma.f64 (*.f64 c (neg.f64 b)) #s(literal 1 binary64) (*.f64 d a)) |
(fma.f64 #s(literal 1 binary64) (*.f64 c (neg.f64 b)) (*.f64 d a)) |
(fma.f64 #s(literal -1 binary64) (*.f64 c b) (*.f64 d a)) |
(fma.f64 d a (*.f64 c (neg.f64 b))) |
(fma.f64 a d (*.f64 c (neg.f64 b))) |
(fma.f64 c (*.f64 #s(literal 1 binary64) (neg.f64 b)) (*.f64 d a)) |
(fma.f64 c (neg.f64 b) (*.f64 d a)) |
(fma.f64 (neg.f64 b) c (*.f64 d a)) |
(fma.f64 b (neg.f64 c) (*.f64 d a)) |
(-.f64 (/.f64 (pow.f64 (*.f64 d a) #s(literal 2 binary64)) (-.f64 (*.f64 d a) (*.f64 c (neg.f64 b)))) (/.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (-.f64 (*.f64 d a) (*.f64 c (neg.f64 b))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (fma.f64 (neg.f64 c) b (*.f64 (neg.f64 d) a))) (/.f64 (pow.f64 (*.f64 d a) #s(literal 2 binary64)) (fma.f64 (neg.f64 c) b (*.f64 (neg.f64 d) a)))) |
(-.f64 (*.f64 d a) (*.f64 c b)) |
(+.f64 (*.f64 c (neg.f64 b)) (*.f64 d a)) |
(+.f64 (*.f64 d a) (*.f64 c (neg.f64 b))) |
(*.f64 #s(literal -1 binary64) b) |
(*.f64 b #s(literal -1 binary64)) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 b) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 b b) (*.f64 #s(literal 0 binary64) (neg.f64 b))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b))) (neg.f64 (+.f64 #s(literal 0 binary64) b))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b)))) |
(neg.f64 b) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) b)) (/.f64 (*.f64 b b) (+.f64 #s(literal 0 binary64) b))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b)))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))))) |
(-.f64 #s(literal 0 binary64) b) |
(+.f64 #s(literal 0 binary64) (neg.f64 b)) |
(*.f64 d a) |
(*.f64 a d) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
(*.f64 (pow.f64 d #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) a) #s(literal -1 binary64))) |
(*.f64 (pow.f64 d #s(literal -1 binary64)) (neg.f64 a)) |
(*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) d)) |
(*.f64 (neg.f64 a) (pow.f64 d #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 a d)) |
(*.f64 a (pow.f64 (neg.f64 d) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 (neg.f64 d) a) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (neg.f64 d) a) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) d) #s(literal 3 binary64)) (pow.f64 (/.f64 a d) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) d) (/.f64 #s(literal 0 binary64) d) (+.f64 (pow.f64 (/.f64 a d) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) d) (/.f64 a d))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 a d) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 a d) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 a d))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 a) #s(literal 1 binary64))) (neg.f64 d)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 d a)) (*.f64 d #s(literal 1 binary64))) (*.f64 d (/.f64 d a))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 d)) (*.f64 (neg.f64 d) a)) (*.f64 d (neg.f64 d))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) d) (*.f64 d a)) (*.f64 d d)) |
(/.f64 (*.f64 (neg.f64 a) #s(literal 1 binary64)) d) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (neg.f64 d) a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 d) a) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) a)) |
(/.f64 (neg.f64 a) (neg.f64 (neg.f64 d))) |
(/.f64 (neg.f64 a) d) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (neg.f64 d) a) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (neg.f64 d) a))) |
(/.f64 a (neg.f64 (neg.f64 (neg.f64 d)))) |
(/.f64 a (neg.f64 d)) |
(neg.f64 (/.f64 a d)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 d))) (/.f64 a d)) |
(-.f64 (/.f64 #s(literal 0 binary64) d) (/.f64 a d)) |
(-.f64 #s(literal 0 binary64) (/.f64 a d)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 d) a)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) a) |
(*.f64 a #s(literal -1 binary64)) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 a) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 a a) (*.f64 #s(literal 0 binary64) (neg.f64 a))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a))) (neg.f64 (+.f64 #s(literal 0 binary64) a))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (+.f64 #s(literal 0 binary64) a)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a)))) |
(neg.f64 a) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) a)) (/.f64 (*.f64 a a) (+.f64 #s(literal 0 binary64) a))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a)))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a))))) |
(-.f64 #s(literal 0 binary64) a) |
(+.f64 #s(literal 0 binary64) (neg.f64 a)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)) |
(*.f64 (/.f64 (*.f64 c b) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 (+.f64 c d) (-.f64 c d))) |
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(fma.f64 (exp.f64 (log.f64 c)) (exp.f64 (log.f64 c)) (*.f64 d d)) |
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(fma.f64 c c (*.f64 d d)) |
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(+.f64 (*.f64 d d) (*.f64 c c)) |
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(-.f64 (/.f64 (*.f64 c b) d) a) |
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(*.f64 #s(literal 1 binary64) c) |
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(pow.f64 c #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 c) #s(literal 1 binary64))) |
c |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (/.f64 b c) c) (fma.f64 (*.f64 (/.f64 (neg.f64 c) b) a) (/.f64 d c) c))) |
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(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (*.f64 (+.f64 d c) (-.f64 d c))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (-.f64 (+.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (pow.f64 (*.f64 d c) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c)))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (*.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (fma.f64 d d (*.f64 c c))) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (neg.f64 (fma.f64 d d (*.f64 c c)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (fma.f64 d d (*.f64 c c))))) |
(/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) |
(neg.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (fma.f64 d d (*.f64 c c)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 d c)) |
(*.f64 (pow.f64 (/.f64 c a) #s(literal -1 binary64)) (pow.f64 (pow.f64 d #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 d #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 c a) #s(literal -1 binary64))) |
(*.f64 (/.f64 a #s(literal 1 binary64)) (/.f64 d c)) |
(*.f64 (/.f64 d #s(literal 1 binary64)) (/.f64 a c)) |
(*.f64 (/.f64 a c) (/.f64 d #s(literal 1 binary64))) |
(*.f64 (/.f64 d c) (pow.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 d c) (/.f64 a #s(literal 1 binary64))) |
(*.f64 (/.f64 d c) a) |
(*.f64 (pow.f64 c #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 d a) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 c #s(literal -1 binary64)) (*.f64 d a)) |
(*.f64 (*.f64 (neg.f64 d) a) (pow.f64 (neg.f64 c) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 d a) c)) |
(*.f64 (*.f64 d a) (pow.f64 c #s(literal -1 binary64))) |
(*.f64 d (*.f64 a (pow.f64 c #s(literal -1 binary64)))) |
(*.f64 d (/.f64 a c)) |
(*.f64 a (/.f64 d c)) |
(pow.f64 (/.f64 (/.f64 c (*.f64 d a)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 c (*.f64 d a)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (*.f64 d a) #s(literal 1 binary64))) (neg.f64 c)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 d) a))) (neg.f64 (neg.f64 (neg.f64 c)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 d a) #s(literal 1 binary64))) (neg.f64 c)) |
(/.f64 (neg.f64 (/.f64 (*.f64 d a) c)) #s(literal -1 binary64)) |
(/.f64 (/.f64 (*.f64 d a) #s(literal 1 binary64)) c) |
(/.f64 (neg.f64 (*.f64 (neg.f64 d) a)) (neg.f64 (neg.f64 c))) |
(/.f64 (*.f64 (*.f64 d a) #s(literal 1 binary64)) c) |
(/.f64 (*.f64 (neg.f64 d) a) (neg.f64 c)) |
(/.f64 (/.f64 (*.f64 d a) c) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 c (*.f64 d a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c (*.f64 d a)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 c (*.f64 d a))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 c (*.f64 d a)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 c (*.f64 d a)))) |
(/.f64 (*.f64 d a) c) |
(neg.f64 (/.f64 (*.f64 (neg.f64 d) a) c)) |
(neg.f64 (/.f64 (*.f64 d a) (neg.f64 c))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 c)) (/.f64 (*.f64 d a) (neg.f64 c))) |
(exp.f64 (*.f64 (log.f64 (/.f64 c (*.f64 d a))) #s(literal -1 binary64))) |
Compiled 30 691 to 3 545 computations (88.4% saved)
25 alts after pruning (21 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 486 | 8 | 1 494 |
| Fresh | 6 | 13 | 19 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 496 | 25 | 1 521 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 59.4% | (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) |
| ▶ | 37.9% | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
| 36.1% | (/.f64 #s(approx (+ (* (neg d) a) (* b c)) (*.f64 (neg.f64 d) a)) (fma.f64 d d (*.f64 c c))) | |
| 36.2% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (*.f64 (-.f64 (pow.f64 (/.f64 c d) #s(literal 2 binary64)) (pow.f64 (/.f64 c d) #s(literal 6 binary64))) (pow.f64 (+.f64 (pow.f64 (/.f64 c d) #s(literal 3 binary64)) (/.f64 c d)) #s(literal -1 binary64))))) d)) | |
| ▶ | 58.1% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) |
| 56.9% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) | |
| 36.6% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) c) #s(approx (* (/ c b) (/ (* a d) c)) (/.f64 (*.f64 d a) b))) (*.f64 (/.f64 c b) c))) | |
| ✓ | 50.5% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
| ▶ | 52.6% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) a))) c)) |
| ✓ | 43.2% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
| 25.7% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- (/ (* c b) d) a) (/.f64 (*.f64 c b) d)) d)) | |
| 45.1% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (-.f64 (/.f64 b a) (/.f64 d c)) a)) c)) | |
| 22.3% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) | |
| 47.3% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (+ (* (/ (/ c d) d) c) -1) a) (* b (- (/ c d) (pow (/ c d) 3)))) (*.f64 (fma.f64 (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) (/.f64 b a) (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64))) a)) d)) | |
| ✓ | 41.3% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
| 50.1% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (-.f64 (/.f64 b c) (/.f64 (/.f64 (*.f64 a d) c) c))) | |
| 24.2% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) b)) | |
| 28.9% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 c c))) b)) | |
| ▶ | 41.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) |
| 20.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) | |
| 43.1% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)))) | |
| 21.8% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) d)) b)) | |
| ▶ | 41.1% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) b)) |
| 21.5% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) | |
| 41.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (+ (* (/ (/ c d) d) c) -1) a) (* b (- (/ c d) (pow (/ c d) 3)))) d) (*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)) (/.f64 a d)))) |
Compiled 583 to 492 computations (15.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) a))) | |
| cost-diff | 0 | (/.f64 (-.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) a))) c) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) a))) c)) | |
| cost-diff | 1088 | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) a)) | |
| cost-diff | 0 | (*.f64 a d) | |
| cost-diff | 0 | (*.f64 b c) | |
| cost-diff | 0 | (-.f64 (*.f64 b c) (*.f64 a d)) | |
| cost-diff | 0 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| cost-diff | 0 | (fma.f64 c c (*.f64 d d)) | |
| cost-diff | 0 | (/.f64 b (fma.f64 c c (*.f64 d d))) | |
| cost-diff | 0 | (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) c) | |
| cost-diff | 0 | #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) b) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) b)) | |
| cost-diff | 0 | (/.f64 c d) | |
| cost-diff | 0 | (fma.f64 (/.f64 c d) b (neg.f64 a)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) |
| 4 952× | lower-fma.f32 |
| 4 948× | lower-fma.f64 |
| 2 568× | lower-*.f32 |
| 2 558× | lower-*.f64 |
| 2 360× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 279 |
| 0 | 56 | 279 |
| 1 | 90 | 279 |
| 2 | 150 | 271 |
| 3 | 328 | 271 |
| 4 | 800 | 271 |
| 5 | 1679 | 271 |
| 6 | 2686 | 271 |
| 7 | 3964 | 271 |
| 8 | 5150 | 271 |
| 9 | 5524 | 271 |
| 10 | 5587 | 271 |
| 11 | 5597 | 271 |
| 12 | 5605 | 271 |
| 13 | 5855 | 271 |
| 14 | 5963 | 271 |
| 15 | 5963 | 271 |
| 16 | 5963 | 271 |
| 17 | 6115 | 271 |
| 18 | 6433 | 271 |
| 19 | 7577 | 271 |
| 0 | 8057 | 271 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) |
(/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) |
(fma.f64 (/.f64 c d) b (neg.f64 a)) |
(/.f64 c d) |
c |
d |
b |
(neg.f64 a) |
a |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) b)) |
(*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) b) |
#s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) |
(/.f64 #s(literal 1 binary64) c) |
#s(literal 1 binary64) |
c |
b |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) |
(*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c) |
(/.f64 b (fma.f64 c c (*.f64 d d))) |
b |
(fma.f64 c c (*.f64 d d)) |
c |
(*.f64 d d) |
d |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(-.f64 (*.f64 b c) (*.f64 a d)) |
(*.f64 b c) |
b |
c |
(*.f64 a d) |
a |
d |
#s(approx (+ (* c c) (* d d)) (*.f64 d d)) |
(*.f64 d d) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) a))) c)) |
(/.f64 (-.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) a))) c) |
(-.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) a))) |
b |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) a)) |
#s(literal 1 binary64) |
(/.f64 (/.f64 c d) a) |
(/.f64 c d) |
c |
d |
a |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) |
(/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) |
(fma.f64 (/.f64 c d) b (neg.f64 a)) |
(/.f64 c d) |
c |
d |
b |
(neg.f64 a) |
a |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) b)) |
(*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) b) |
#s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) |
(/.f64 #s(literal 1 binary64) c) |
#s(literal 1 binary64) |
c |
b |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) c)) |
(*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c) |
(*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) c) |
(/.f64 b (fma.f64 c c (*.f64 d d))) |
(/.f64 b (fma.f64 d d (*.f64 c c))) |
b |
(fma.f64 c c (*.f64 d d)) |
(fma.f64 d d (*.f64 c c)) |
c |
(*.f64 d d) |
d |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 (fma.f64 (neg.f64 a) d (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(-.f64 (*.f64 b c) (*.f64 a d)) |
(fma.f64 (neg.f64 a) d (*.f64 c b)) |
(*.f64 b c) |
(*.f64 c b) |
b |
c |
(*.f64 a d) |
(*.f64 d a) |
a |
d |
#s(approx (+ (* c c) (* d d)) (*.f64 d d)) |
(*.f64 d d) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) a))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) |
(/.f64 (-.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) a))) c) |
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) |
(-.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) a))) |
(-.f64 b (/.f64 (*.f64 d a) c)) |
b |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) a)) |
(/.f64 (*.f64 d a) c) |
#s(literal 1 binary64) |
(/.f64 (/.f64 c d) a) |
(/.f64 c d) |
c |
d |
a |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.22724092631368523 | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) a)) | |
| accuracy | 0.7783689338567299 | (/.f64 (-.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) a))) c) | |
| accuracy | 3.93150533328251 | (/.f64 (/.f64 c d) a) | |
| accuracy | 30.035337095685527 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) a))) c)) | |
| accuracy | 0 | (*.f64 a d) | |
| accuracy | 0.2539041858302058 | (-.f64 (*.f64 b c) (*.f64 a d)) | |
| accuracy | 23.395059952034245 | #s(approx (+ (* c c) (* d d)) (*.f64 d d)) | |
| accuracy | 25.772672316608233 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| accuracy | 0.00390625 | (fma.f64 c c (*.f64 d d)) | |
| accuracy | 8.93608052304177 | (/.f64 b (fma.f64 c c (*.f64 d d))) | |
| accuracy | 11.895480173208101 | (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c) | |
| accuracy | 25.152791845966426 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) c) | |
| accuracy | 2.800368645333942 | (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) b) | |
| accuracy | 25.152791845966426 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) b)) | |
| accuracy | 33.3143128079069 | #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) | |
| accuracy | 0 | (neg.f64 a) | |
| accuracy | 1.2503578521265384 | (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) | |
| accuracy | 1.721680011197608 | (fma.f64 (/.f64 c d) b (neg.f64 a)) | |
| accuracy | 26.799326662102267 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) |
| 75.0ms | 256× | 0 | valid |
Compiled 230 to 28 computations (87.8% saved)
ival-div: 22.0ms (57.1% of total)ival-mult: 11.0ms (28.6% of total)ival-sub: 2.0ms (5.2% of total)ival-add: 2.0ms (5.2% of total)ival-neg: 1.0ms (2.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) (patch (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 c d) b (neg.f64 a)) (patch (fma.f64 (/.f64 c d) b (neg.f64 a)) #<representation binary64>) () ()) |
#s(alt (/.f64 c d) (patch (/.f64 c d) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) b)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) b)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) b) (patch (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) b) #<representation binary64>) () ()) |
#s(alt #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) (patch #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) c) (patch (/.f64 #s(literal 1 binary64) c) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c) (patch (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c) #<representation binary64>) () ()) |
#s(alt (/.f64 b (fma.f64 c c (*.f64 d d))) (patch (/.f64 b (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ()) |
#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ()) |
#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ()) |
#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) a)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) a)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) a))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) a))) c)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) a))) c) (patch (/.f64 (-.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) a))) c) #<representation binary64>) () ()) |
#s(alt (-.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) a))) (patch (-.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) a))) #<representation binary64>) () ()) |
#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 c d) a) (patch (/.f64 (/.f64 c d) a) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) (patch (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) (patch (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) (patch (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) (patch (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 a) (taylor 0 c) (#s(alt (fma.f64 (/.f64 c d) b (neg.f64 a)) (patch (fma.f64 (/.f64 c d) b (neg.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ (* b c) d) a) (taylor 0 c) (#s(alt (fma.f64 (/.f64 c d) b (neg.f64 a)) (patch (fma.f64 (/.f64 c d) b (neg.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ (* b c) d) a) (taylor 0 c) (#s(alt (fma.f64 (/.f64 c d) b (neg.f64 a)) (patch (fma.f64 (/.f64 c d) b (neg.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ (* b c) d) a) (taylor 0 c) (#s(alt (fma.f64 (/.f64 c d) b (neg.f64 a)) (patch (fma.f64 (/.f64 c d) b (neg.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (/ c d) (taylor 0 c) (#s(alt (/.f64 c d) (patch (/.f64 c d) #<representation binary64>) () ())) ()) |
#s(alt (/ c d) (taylor 0 c) (#s(alt (/.f64 c d) (patch (/.f64 c d) #<representation binary64>) () ())) ()) |
#s(alt (/ c d) (taylor 0 c) (#s(alt (/.f64 c d) (patch (/.f64 c d) #<representation binary64>) () ())) ()) |
#s(alt (/ c d) (taylor 0 c) (#s(alt (/.f64 c d) (patch (/.f64 c d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) b)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) b)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) b)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) b)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) (pow d 2)) (taylor 0 c) (#s(alt (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) b) (patch (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) b) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1 (/ (* b (pow c 2)) (pow d 4))) (/ b (pow d 2)))) (taylor 0 c) (#s(alt (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) b) (patch (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) b) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 6)) (/ b (pow d 4)))) (/ b (pow d 2)))) (taylor 0 c) (#s(alt (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) b) (patch (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) b) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 8))) (* -1 (/ b (pow d 6))))) (/ b (pow d 4)))) (/ b (pow d 2)))) (taylor 0 c) (#s(alt (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) b) (patch (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) b) #<representation binary64>) () ())) ()) |
#s(alt (/ c (pow d 2)) (taylor 0 c) (#s(alt #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) (patch #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2)))) (taylor 0 c) (#s(alt #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) (patch #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* (pow c 2) (- (/ (pow c 2) (pow d 6)) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))) (taylor 0 c) (#s(alt #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) (patch #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 8))) (/ 1 (pow d 6)))) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))) (taylor 0 c) (#s(alt #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) (patch #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 c) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) c) (patch (/.f64 #s(literal 1 binary64) c) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 c) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) c) (patch (/.f64 #s(literal 1 binary64) c) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 c) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) c) (patch (/.f64 #s(literal 1 binary64) c) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 c) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) c) (patch (/.f64 #s(literal 1 binary64) c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) (pow d 2)) (taylor 0 c) (#s(alt (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c) (patch (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1 (/ (* b (pow c 2)) (pow d 4))) (/ b (pow d 2)))) (taylor 0 c) (#s(alt (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c) (patch (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 6)) (/ b (pow d 4)))) (/ b (pow d 2)))) (taylor 0 c) (#s(alt (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c) (patch (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 8))) (* -1 (/ b (pow d 6))))) (/ b (pow d 4)))) (/ b (pow d 2)))) (taylor 0 c) (#s(alt (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c) (patch (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c) #<representation binary64>) () ())) ()) |
#s(alt (/ b (pow d 2)) (taylor 0 c) (#s(alt (/.f64 b (fma.f64 c c (*.f64 d d))) (patch (/.f64 b (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* b (pow c 2)) (pow d 4))) (/ b (pow d 2))) (taylor 0 c) (#s(alt (/.f64 b (fma.f64 c c (*.f64 d d))) (patch (/.f64 b (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 6)) (/ b (pow d 4)))) (/ b (pow d 2))) (taylor 0 c) (#s(alt (/.f64 b (fma.f64 c c (*.f64 d d))) (patch (/.f64 b (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 8))) (* -1 (/ b (pow d 6))))) (/ b (pow d 4)))) (/ b (pow d 2))) (taylor 0 c) (#s(alt (/.f64 b (fma.f64 c c (*.f64 d d))) (patch (/.f64 b (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (pow d 2) (taylor 0 c) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a d)) (taylor 0 c) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (- (* b c) (* a d)) (taylor 0 c) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (- (+ (* b c) (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2))) (pow d 2)) (taylor -inf d) (#s(alt (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) b) (patch (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) b) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* -1 (/ (* b (pow c 7)) (pow d 6))) (* b c)) (+ (* -1 (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2)))) (pow d 2)) (taylor -inf d) (#s(alt (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) b) (patch (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) b) #<representation binary64>) () ())) ()) |
#s(alt (/ c (pow d 2)) (taylor -inf d) (#s(alt #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) (patch #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ c (* -1 (/ (pow c 3) (pow d 2)))) (pow d 2)) (taylor -inf d) (#s(alt #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) (patch #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ c (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2))) (pow d 2)) (taylor -inf d) (#s(alt #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) (patch #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ c (* -1 (/ (pow c 7) (pow d 6)))) (+ (* -1 (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2)))) (pow d 2)) (taylor -inf d) (#s(alt #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) (patch #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) (pow d 2)) (taylor -inf d) (#s(alt (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c) (patch (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (/ (* b (pow c 3)) (pow d 2))) (* b c)) (pow d 2)) (taylor -inf d) (#s(alt (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c) (patch (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* b c) (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2))) (pow d 2)) (taylor -inf d) (#s(alt (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c) (patch (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* -1 (/ (* b (pow c 7)) (pow d 6))) (* b c)) (+ (* -1 (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2)))) (pow d 2)) (taylor -inf d) (#s(alt (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c) (patch (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c) #<representation binary64>) () ())) ()) |
#s(alt (/ b (pow d 2)) (taylor -inf d) (#s(alt (/.f64 b (fma.f64 c c (*.f64 d d))) (patch (/.f64 b (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) (pow d 2)) (taylor -inf d) (#s(alt (/.f64 b (fma.f64 c c (*.f64 d d))) (patch (/.f64 b (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) (pow d 2)) (taylor -inf d) (#s(alt (/.f64 b (fma.f64 c c (*.f64 d d))) (patch (/.f64 b (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) (pow d 2)) (taylor -inf d) (#s(alt (/.f64 b (fma.f64 c c (*.f64 d d))) (patch (/.f64 b (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (pow d 2) (taylor -inf d) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor -inf d) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) (taylor -inf d) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) (taylor -inf d) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) (taylor -inf d) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a d)) (taylor -inf d) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) (taylor -inf d) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) (taylor -inf d) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) (taylor -inf d) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor -inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor -inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor -inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor -inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor -inf d) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) a)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) a)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor -inf d) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) a)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) a)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor -inf d) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) a)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) a)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor -inf d) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) a)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) a))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) a))) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) a))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) a))) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) a))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) a))) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) a))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) a))) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) (pow c 2))) (taylor -inf d) (#s(alt (/.f64 (-.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) a))) c) (patch (/.f64 (-.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) a))) c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) (taylor -inf d) (#s(alt (/.f64 (-.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) a))) c) (patch (/.f64 (-.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) a))) c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) (taylor -inf d) (#s(alt (/.f64 (-.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) a))) c) (patch (/.f64 (-.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) a))) c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) (taylor -inf d) (#s(alt (/.f64 (-.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) a))) c) (patch (/.f64 (-.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) a))) c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) c)) (taylor -inf d) (#s(alt (-.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) a))) (patch (-.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) a))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) (taylor -inf d) (#s(alt (-.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) a))) (patch (-.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) a))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) (taylor -inf d) (#s(alt (-.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) a))) (patch (-.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) a))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) (taylor -inf d) (#s(alt (-.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) a))) (patch (-.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) a))) #<representation binary64>) () ())) ()) |
#s(alt (pow d 2) (taylor -inf d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (/ c (* a d)) (taylor -inf d) (#s(alt (/.f64 (/.f64 c d) a) (patch (/.f64 (/.f64 c d) a) #<representation binary64>) () ())) ()) |
#s(alt (/ c (* a d)) (taylor -inf d) (#s(alt (/.f64 (/.f64 c d) a) (patch (/.f64 (/.f64 c d) a) #<representation binary64>) () ())) ()) |
#s(alt (/ c (* a d)) (taylor -inf d) (#s(alt (/.f64 (/.f64 c d) a) (patch (/.f64 (/.f64 c d) a) #<representation binary64>) () ())) ()) |
#s(alt (/ c (* a d)) (taylor -inf d) (#s(alt (/.f64 (/.f64 c d) a) (patch (/.f64 (/.f64 c d) a) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | c | @ | -inf | ((/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) b) (neg a)) d) (+ (* (/ c d) b) (neg a)) (/ c d) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (/ c (+ (* c c) (* d d))) b) (/ c (+ (* c c) (* d d))) (/ 1 c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (/ b (+ (* c c) (* d d))) c) (/ b (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (* a d) (/ 1 (/ (/ c d) a)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- b (/ 1 (/ (/ c d) a))) c) (- b (/ 1 (/ (/ c d) a))) (neg a) (+ (* c c) (* d d)) (/ (/ c d) a)) |
| 4.0ms | a | @ | inf | ((/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) b) (neg a)) d) (+ (* (/ c d) b) (neg a)) (/ c d) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (/ c (+ (* c c) (* d d))) b) (/ c (+ (* c c) (* d d))) (/ 1 c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (/ b (+ (* c c) (* d d))) c) (/ b (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (* a d) (/ 1 (/ (/ c d) a)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- b (/ 1 (/ (/ c d) a))) c) (- b (/ 1 (/ (/ c d) a))) (neg a) (+ (* c c) (* d d)) (/ (/ c d) a)) |
| 3.0ms | b | @ | -inf | ((/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) b) (neg a)) d) (+ (* (/ c d) b) (neg a)) (/ c d) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (/ c (+ (* c c) (* d d))) b) (/ c (+ (* c c) (* d d))) (/ 1 c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (/ b (+ (* c c) (* d d))) c) (/ b (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (* a d) (/ 1 (/ (/ c d) a)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- b (/ 1 (/ (/ c d) a))) c) (- b (/ 1 (/ (/ c d) a))) (neg a) (+ (* c c) (* d d)) (/ (/ c d) a)) |
| 2.0ms | d | @ | -inf | ((/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) b) (neg a)) d) (+ (* (/ c d) b) (neg a)) (/ c d) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (/ c (+ (* c c) (* d d))) b) (/ c (+ (* c c) (* d d))) (/ 1 c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (/ b (+ (* c c) (* d d))) c) (/ b (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (* a d) (/ 1 (/ (/ c d) a)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- b (/ 1 (/ (/ c d) a))) c) (- b (/ 1 (/ (/ c d) a))) (neg a) (+ (* c c) (* d d)) (/ (/ c d) a)) |
| 2.0ms | c | @ | 0 | ((/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) b) (neg a)) d) (+ (* (/ c d) b) (neg a)) (/ c d) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (/ c (+ (* c c) (* d d))) b) (/ c (+ (* c c) (* d d))) (/ 1 c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (/ b (+ (* c c) (* d d))) c) (/ b (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (* a d) (/ 1 (/ (/ c d) a)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- b (/ 1 (/ (/ c d) a))) c) (- b (/ 1 (/ (/ c d) a))) (neg a) (+ (* c c) (* d d)) (/ (/ c d) a)) |
| 1× | egg-herbie |
| 7 068× | lower-fma.f64 |
| 7 068× | lower-fma.f32 |
| 5 250× | lower-*.f64 |
| 5 250× | lower-*.f32 |
| 1 946× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 499 | 10068 |
| 1 | 1573 | 9670 |
| 2 | 4723 | 9424 |
| 0 | 8226 | 9020 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(* -1 a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(/ (* b c) (pow d 2)) |
(* c (+ (* -1 (/ (* b (pow c 2)) (pow d 4))) (/ b (pow d 2)))) |
(* c (+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 6)) (/ b (pow d 4)))) (/ b (pow d 2)))) |
(* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 8))) (* -1 (/ b (pow d 6))))) (/ b (pow d 4)))) (/ b (pow d 2)))) |
(/ c (pow d 2)) |
(* c (+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2)))) |
(* c (+ (* (pow c 2) (- (/ (pow c 2) (pow d 6)) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))) |
(* c (+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 8))) (/ 1 (pow d 6)))) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(/ (* b c) (pow d 2)) |
(* c (+ (* -1 (/ (* b (pow c 2)) (pow d 4))) (/ b (pow d 2)))) |
(* c (+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 6)) (/ b (pow d 4)))) (/ b (pow d 2)))) |
(* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 8))) (* -1 (/ b (pow d 6))))) (/ b (pow d 4)))) (/ b (pow d 2)))) |
(/ b (pow d 2)) |
(+ (* -1 (/ (* b (pow c 2)) (pow d 4))) (/ b (pow d 2))) |
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 6)) (/ b (pow d 4)))) (/ b (pow d 2))) |
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 8))) (* -1 (/ b (pow d 6))))) (/ b (pow d 4)))) (/ b (pow d 2))) |
(pow d 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(* -1 (* a d)) |
(- (* b c) (* a d)) |
(- (* b c) (* a d)) |
(- (* b c) (* a d)) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(* -1 (/ (* a d) (pow c 2))) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(* -1 (/ (* a d) c)) |
(/ (- (* b c) (* a d)) c) |
(/ (- (* b c) (* a d)) c) |
(/ (- (* b c) (* a d)) c) |
(pow d 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(/ (* b c) (pow d 2)) |
(* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2)))) |
(* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2)))) |
(* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2)))) |
(/ (* b c) d) |
(* c (+ (* -1 (/ a c)) (/ b d))) |
(* c (+ (* -1 (/ a c)) (/ b d))) |
(* c (+ (* -1 (/ a c)) (/ b d))) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(/ b c) |
(/ (+ b (* -1 (/ (* b (pow d 2)) (pow c 2)))) c) |
(/ (- (+ b (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2))) c) |
(/ (- (+ b (* -1 (/ (* b (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2)))) c) |
(/ 1 c) |
(/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) c) |
(/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) c) |
(/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(/ b c) |
(/ (+ b (* -1 (/ (* b (pow d 2)) (pow c 2)))) c) |
(/ (- (+ b (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2))) c) |
(/ (- (+ b (* -1 (/ (* b (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2)))) c) |
(/ b (pow c 2)) |
(/ (+ b (* -1 (/ (* b (pow d 2)) (pow c 2)))) (pow c 2)) |
(/ (- (+ b (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2))) (pow c 2)) |
(/ (- (+ b (* -1 (/ (* b (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2)))) (pow c 2)) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(* b c) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
b |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) |
(/ (* b c) (pow d 2)) |
(* -1 (* c (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))) |
(* -1 (* c (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))) |
(* -1 (* c (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))) |
(/ (* b c) d) |
(* -1 (* c (+ (* -1 (/ b d)) (/ a c)))) |
(* -1 (* c (+ (* -1 (/ b d)) (/ a c)))) |
(* -1 (* c (+ (* -1 (/ b d)) (/ a c)))) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* b (pow d 2)) (pow c 2))) c)) |
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2)))) c)) |
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (+ (/ (* b (pow d 2)) (pow c 2)) (/ (* b (pow d 6)) (pow c 6))))) c)) |
(/ 1 c) |
(* -1 (/ (- (/ (pow d 2) (pow c 2)) 1) c)) |
(* -1 (/ (- (* -1 (/ (pow d 4) (pow c 4))) (+ 1 (* -1 (/ (pow d 2) (pow c 2))))) c)) |
(* -1 (/ (- (/ (pow d 6) (pow c 6)) (+ 1 (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (pow d 4) (pow c 4))))) c)) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ 1 c) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* b (pow d 2)) (pow c 2))) c)) |
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2)))) c)) |
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (+ (/ (* b (pow d 2)) (pow c 2)) (/ (* b (pow d 6)) (pow c 6))))) c)) |
(/ b (pow c 2)) |
(/ (+ b (* -1 (/ (* b (pow d 2)) (pow c 2)))) (pow c 2)) |
(/ (- (+ b (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2))) (pow c 2)) |
(/ (- (+ b (* -1 (/ (* b (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2)))) (pow c 2)) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) |
(* b c) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
b |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(* -1 a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ b (+ (pow c 2) (pow d 2))) |
(/ b (+ (pow c 2) (pow d 2))) |
(/ b (+ (pow c 2) (pow d 2))) |
(/ b (+ (pow c 2) (pow d 2))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a d)) |
(- (* b c) (* a d)) |
(- (* b c) (* a d)) |
(- (* b c) (* a d)) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (pow c 2))) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(* -1 (/ (* a d) c)) |
(- b (/ (* a d) c)) |
(- b (/ (* a d) c)) |
(- b (/ (* a d) c)) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(/ (* b c) (pow d 2)) |
(* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2)))) |
(* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2)))) |
(* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2)))) |
(/ (* b c) d) |
(* b (+ (* -1 (/ a b)) (/ c d))) |
(* b (+ (* -1 (/ a b)) (/ c d))) |
(* b (+ (* -1 (/ a b)) (/ c d))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ b (+ (pow c 2) (pow d 2))) |
(/ b (+ (pow c 2) (pow d 2))) |
(/ b (+ (pow c 2) (pow d 2))) |
(/ b (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b c) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(/ b c) |
(* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c))) |
(* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c))) |
(* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c))) |
b |
(* b (+ 1 (* -1 (/ (* a d) (* b c))))) |
(* b (+ 1 (* -1 (/ (* a d) (* b c))))) |
(* b (+ 1 (* -1 (/ (* a d) (* b c))))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(/ (* b c) (pow d 2)) |
(* -1 (* b (+ (* -1 (/ c (pow d 2))) (/ a (* b d))))) |
(* -1 (* b (+ (* -1 (/ c (pow d 2))) (/ a (* b d))))) |
(* -1 (* b (+ (* -1 (/ c (pow d 2))) (/ a (* b d))))) |
(/ (* b c) d) |
(* -1 (* b (+ (* -1 (/ c d)) (/ a b)))) |
(* -1 (* b (+ (* -1 (/ c d)) (/ a b)))) |
(* -1 (* b (+ (* -1 (/ c d)) (/ a b)))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ b (+ (pow c 2) (pow d 2))) |
(/ b (+ (pow c 2) (pow d 2))) |
(/ b (+ (pow c 2) (pow d 2))) |
(/ b (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* b c) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(/ b c) |
(* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c)))) |
(* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c)))) |
(* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c)))) |
b |
(* -1 (* b (- (/ (* a d) (* b c)) 1))) |
(* -1 (* b (- (/ (* a d) (* b c)) 1))) |
(* -1 (* b (- (/ (* a d) (* b c)) 1))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(/ (* b c) (pow d 2)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/ (* b c) d) |
(+ (* -1 a) (/ (* b c) d)) |
(+ (* -1 a) (/ (* b c) d)) |
(+ (* -1 a) (/ (* b c) d)) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* b c) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
b |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ a d)) |
(* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d))) |
(* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d))) |
(* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d))) |
(* -1 a) |
(* a (- (/ (* b c) (* a d)) 1)) |
(* a (- (/ (* b c) (* a d)) 1)) |
(* a (- (/ (* b c) (* a d)) 1)) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a d)) |
(* a (- (/ (* b c) a) d)) |
(* a (- (/ (* b c) a) d)) |
(* a (- (/ (* b c) a) d)) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ (* a d) (pow c 2))) |
(* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c)))) |
(* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c)))) |
(* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c)))) |
(* -1 (/ (* a d) c)) |
(* a (- (/ b a) (/ d c))) |
(* a (- (/ b a) (/ d c))) |
(* a (- (/ b a) (/ d c))) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ a d)) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (/ 1 d)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (/ 1 d)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (/ 1 d)))) |
(* -1 a) |
(* -1 (* a (+ 1 (* -1 (/ (* b c) (* a d)))))) |
(* -1 (* a (+ 1 (* -1 (/ (* b c) (* a d)))))) |
(* -1 (* a (+ 1 (* -1 (/ (* b c) (* a d)))))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a d)) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2))))) |
(* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2))))) |
(* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2))))) |
(* -1 (/ (* a d) c)) |
(* -1 (* a (- (* -1 (/ b a)) (* -1 (/ d c))))) |
(* -1 (* a (- (* -1 (/ b a)) (* -1 (/ d c))))) |
(* -1 (* a (- (* -1 (/ b a)) (* -1 (/ d c))))) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(/ (* b c) (pow d 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow d 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow d 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow d 2)) |
(/ (* b c) d) |
(/ (+ (* -1 (* a d)) (* b c)) d) |
(/ (+ (* -1 (* a d)) (* b c)) d) |
(/ (+ (* -1 (* a d)) (* b c)) d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(/ b c) |
(+ (* -1 (/ (* b (pow d 2)) (pow c 3))) (/ b c)) |
(+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 5)) (/ b (pow c 3)))) (/ b c)) |
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 7))) (* -1 (/ b (pow c 5))))) (/ b (pow c 3)))) (/ b c)) |
(/ 1 c) |
(+ (* -1 (/ (pow d 2) (pow c 3))) (/ 1 c)) |
(+ (* (pow d 2) (- (/ (pow d 2) (pow c 5)) (/ 1 (pow c 3)))) (/ 1 c)) |
(+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 7))) (/ 1 (pow c 5)))) (/ 1 (pow c 3)))) (/ 1 c)) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(/ b c) |
(+ (* -1 (/ (* b (pow d 2)) (pow c 3))) (/ b c)) |
(+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 5)) (/ b (pow c 3)))) (/ b c)) |
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 7))) (* -1 (/ b (pow c 5))))) (/ b (pow c 3)))) (/ b c)) |
(/ b (pow c 2)) |
(+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2))) |
(+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2))) |
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 8))) (* -1 (/ b (pow c 6))))) (/ b (pow c 4)))) (/ b (pow c 2))) |
(pow c 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(* b c) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
b |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(pow c 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(* -1 a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(/ (* b c) (pow d 2)) |
(/ (+ (* -1 (/ (* b (pow c 3)) (pow d 2))) (* b c)) (pow d 2)) |
(/ (- (+ (* b c) (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2))) (pow d 2)) |
(/ (- (+ (* -1 (/ (* b (pow c 7)) (pow d 6))) (* b c)) (+ (* -1 (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2)))) (pow d 2)) |
(/ c (pow d 2)) |
(/ (+ c (* -1 (/ (pow c 3) (pow d 2)))) (pow d 2)) |
(/ (- (+ c (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2))) (pow d 2)) |
(/ (- (+ c (* -1 (/ (pow c 7) (pow d 6)))) (+ (* -1 (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2)))) (pow d 2)) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(/ (* b c) (pow d 2)) |
(/ (+ (* -1 (/ (* b (pow c 3)) (pow d 2))) (* b c)) (pow d 2)) |
(/ (- (+ (* b c) (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2))) (pow d 2)) |
(/ (- (+ (* -1 (/ (* b (pow c 7)) (pow d 6))) (* b c)) (+ (* -1 (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2)))) (pow d 2)) |
(/ b (pow d 2)) |
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) (pow d 2)) |
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) (pow d 2)) |
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) (pow d 2)) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(* -1 (* a d)) |
(* d (- (/ (* b c) d) a)) |
(* d (- (/ (* b c) d) a)) |
(* d (- (/ (* b c) d) a)) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(* -1 (/ (* a d) (pow c 2))) |
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(* -1 (/ (* a d) c)) |
(* d (- (/ b d) (/ a c))) |
(* d (- (/ b d) (/ a c))) |
(* d (- (/ b d) (/ a c))) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(/ (* b c) (pow d 2)) |
(/ (+ (* -1 (/ (* b (pow c 3)) (pow d 2))) (* b c)) (pow d 2)) |
(/ (- (+ (* b c) (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2))) (pow d 2)) |
(/ (- (+ (* -1 (/ (* b (pow c 7)) (pow d 6))) (* b c)) (+ (* -1 (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2)))) (pow d 2)) |
(/ c (pow d 2)) |
(/ (+ c (* -1 (/ (pow c 3) (pow d 2)))) (pow d 2)) |
(/ (- (+ c (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2))) (pow d 2)) |
(/ (- (+ c (* -1 (/ (pow c 7) (pow d 6)))) (+ (* -1 (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2)))) (pow d 2)) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(/ (* b c) (pow d 2)) |
(/ (+ (* -1 (/ (* b (pow c 3)) (pow d 2))) (* b c)) (pow d 2)) |
(/ (- (+ (* b c) (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2))) (pow d 2)) |
(/ (- (+ (* -1 (/ (* b (pow c 7)) (pow d 6))) (* b c)) (+ (* -1 (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2)))) (pow d 2)) |
(/ b (pow d 2)) |
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) (pow d 2)) |
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) (pow d 2)) |
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) (pow d 2)) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(* -1 (* a d)) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(* -1 (/ (* a d) c)) |
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) |
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) |
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
| Outputs |
|---|
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 3 binary64))) a (/.f64 b (*.f64 d d))) c (/.f64 (neg.f64 a) d)) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(fma.f64 (*.f64 c c) (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) (neg.f64 b) (/.f64 a (pow.f64 d #s(literal 3 binary64)))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) |
(* -1 a) |
(neg.f64 a) |
(- (/ (* b c) d) a) |
(-.f64 (/.f64 (*.f64 c b) d) a) |
(- (/ (* b c) d) a) |
(-.f64 (/.f64 (*.f64 c b) d) a) |
(- (/ (* b c) d) a) |
(-.f64 (/.f64 (*.f64 c b) d) a) |
(/ c d) |
(/.f64 c d) |
(/ c d) |
(/.f64 c d) |
(/ c d) |
(/.f64 c d) |
(/ c d) |
(/.f64 c d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 3 binary64))) a (/.f64 b (*.f64 d d))) c (/.f64 (neg.f64 a) d)) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(fma.f64 (*.f64 c c) (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) (neg.f64 b) (/.f64 a (pow.f64 d #s(literal 3 binary64)))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) |
(/ (* b c) (pow d 2)) |
(*.f64 (/.f64 (/.f64 c d) d) b) |
(* c (+ (* -1 (/ (* b (pow c 2)) (pow d 4))) (/ b (pow d 2)))) |
(*.f64 (fma.f64 (*.f64 (neg.f64 c) c) (/.f64 b (pow.f64 d #s(literal 4 binary64))) (/.f64 b (*.f64 d d))) c) |
(* c (+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 6)) (/ b (pow d 4)))) (/ b (pow d 2)))) |
(fma.f64 (/.f64 b d) (/.f64 c d) (*.f64 (pow.f64 c #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 c c) (/.f64 b (pow.f64 d #s(literal 6 binary64)))) (/.f64 b (pow.f64 d #s(literal 4 binary64)))))) |
(* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 8))) (* -1 (/ b (pow d 6))))) (/ b (pow d 4)))) (/ b (pow d 2)))) |
(fma.f64 (/.f64 b d) (/.f64 c d) (*.f64 (pow.f64 c #s(literal 3 binary64)) (-.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 c) c) (/.f64 b (pow.f64 d #s(literal 8 binary64))) (/.f64 b (pow.f64 d #s(literal 6 binary64)))) (*.f64 c c)) (/.f64 b (pow.f64 d #s(literal 4 binary64)))))) |
(/ c (pow d 2)) |
(/.f64 (/.f64 c d) d) |
(* c (+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2)))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (/.f64 c d) #s(literal 3 binary64)) d) (/.f64 (/.f64 c d) d)) |
(* c (+ (* (pow c 2) (- (/ (pow c 2) (pow d 6)) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))) |
(fma.f64 (pow.f64 c #s(literal 3 binary64)) (fma.f64 c (/.f64 c (pow.f64 d #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 d #s(literal 4 binary64)))) (/.f64 (/.f64 c d) d)) |
(* c (+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 8))) (/ 1 (pow d 6)))) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))) |
(fma.f64 (pow.f64 c #s(literal 3 binary64)) (-.f64 (fma.f64 c (/.f64 c (pow.f64 d #s(literal 6 binary64))) (/.f64 (neg.f64 (pow.f64 c #s(literal 4 binary64))) (pow.f64 d #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 d #s(literal 4 binary64)))) (/.f64 (/.f64 c d) d)) |
(/ 1 c) |
(/.f64 #s(literal 1 binary64) c) |
(/ 1 c) |
(/.f64 #s(literal 1 binary64) c) |
(/ 1 c) |
(/.f64 #s(literal 1 binary64) c) |
(/ 1 c) |
(/.f64 #s(literal 1 binary64) c) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 3 binary64))) a (/.f64 b (*.f64 d d))) c (/.f64 (neg.f64 a) d)) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(fma.f64 (*.f64 c c) (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) (neg.f64 b) (/.f64 a (pow.f64 d #s(literal 3 binary64)))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) |
(/ (* b c) (pow d 2)) |
(*.f64 (/.f64 (/.f64 c d) d) b) |
(* c (+ (* -1 (/ (* b (pow c 2)) (pow d 4))) (/ b (pow d 2)))) |
(*.f64 (fma.f64 (*.f64 (neg.f64 c) c) (/.f64 b (pow.f64 d #s(literal 4 binary64))) (/.f64 b (*.f64 d d))) c) |
(* c (+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 6)) (/ b (pow d 4)))) (/ b (pow d 2)))) |
(fma.f64 (/.f64 b d) (/.f64 c d) (*.f64 (pow.f64 c #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 c c) (/.f64 b (pow.f64 d #s(literal 6 binary64)))) (/.f64 b (pow.f64 d #s(literal 4 binary64)))))) |
(* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 8))) (* -1 (/ b (pow d 6))))) (/ b (pow d 4)))) (/ b (pow d 2)))) |
(fma.f64 (/.f64 b d) (/.f64 c d) (*.f64 (pow.f64 c #s(literal 3 binary64)) (-.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 c) c) (/.f64 b (pow.f64 d #s(literal 8 binary64))) (/.f64 b (pow.f64 d #s(literal 6 binary64)))) (*.f64 c c)) (/.f64 b (pow.f64 d #s(literal 4 binary64)))))) |
(/ b (pow d 2)) |
(/.f64 b (*.f64 d d)) |
(+ (* -1 (/ (* b (pow c 2)) (pow d 4))) (/ b (pow d 2))) |
(fma.f64 (*.f64 (neg.f64 c) c) (/.f64 b (pow.f64 d #s(literal 4 binary64))) (/.f64 b (*.f64 d d))) |
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 6)) (/ b (pow d 4)))) (/ b (pow d 2))) |
(fma.f64 (-.f64 (*.f64 (*.f64 c c) (/.f64 b (pow.f64 d #s(literal 6 binary64)))) (/.f64 b (pow.f64 d #s(literal 4 binary64)))) (*.f64 c c) (/.f64 b (*.f64 d d))) |
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 8))) (* -1 (/ b (pow d 6))))) (/ b (pow d 4)))) (/ b (pow d 2))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 c) c) (/.f64 b (pow.f64 d #s(literal 8 binary64))) (/.f64 b (pow.f64 d #s(literal 6 binary64)))) (*.f64 c c)) (/.f64 b (pow.f64 d #s(literal 4 binary64)))) (*.f64 c c) (/.f64 b (*.f64 d d))) |
(pow d 2) |
(*.f64 d d) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 3 binary64))) a (/.f64 b (*.f64 d d))) c (/.f64 (neg.f64 a) d)) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(fma.f64 (*.f64 c c) (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) (neg.f64 b) (/.f64 a (pow.f64 d #s(literal 3 binary64)))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) |
(* -1 (* a d)) |
(*.f64 (neg.f64 a) d) |
(- (* b c) (* a d)) |
(fma.f64 (neg.f64 a) d (*.f64 c b)) |
(- (* b c) (* a d)) |
(fma.f64 (neg.f64 a) d (*.f64 c b)) |
(- (* b c) (* a d)) |
(fma.f64 (neg.f64 a) d (*.f64 c b)) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(/ (* a d) c) |
(/.f64 (*.f64 d a) c) |
(/ (* a d) c) |
(/.f64 (*.f64 d a) c) |
(/ (* a d) c) |
(/.f64 (*.f64 d a) c) |
(/ (* a d) c) |
(/.f64 (*.f64 d a) c) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 3 binary64))) a (/.f64 b (*.f64 d d))) c (/.f64 (neg.f64 a) d)) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(fma.f64 (*.f64 c c) (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) (neg.f64 b) (/.f64 a (pow.f64 d #s(literal 3 binary64)))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) |
(* -1 (/ (* a d) (pow c 2))) |
(*.f64 (/.f64 (/.f64 (neg.f64 a) c) c) d) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) |
(* -1 (/ (* a d) c)) |
(/.f64 (*.f64 (neg.f64 a) d) c) |
(/ (- (* b c) (* a d)) c) |
(-.f64 b (/.f64 (*.f64 d a) c)) |
(/ (- (* b c) (* a d)) c) |
(-.f64 b (/.f64 (*.f64 d a) c)) |
(/ (- (* b c) (* a d)) c) |
(-.f64 b (/.f64 (*.f64 d a) c)) |
(pow d 2) |
(*.f64 d d) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(/ c (* a d)) |
(/.f64 (/.f64 c d) a) |
(/ c (* a d)) |
(/.f64 (/.f64 c d) a) |
(/ c (* a d)) |
(/.f64 (/.f64 c d) a) |
(/ c (* a d)) |
(/.f64 (/.f64 c d) a) |
(/ b c) |
(/.f64 b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 d a (/.f64 (*.f64 (*.f64 d d) b) c)) c) b)) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(/.f64 (+.f64 (fma.f64 (pow.f64 (/.f64 d c) #s(literal 3 binary64)) a (/.f64 (neg.f64 (fma.f64 d a (/.f64 (*.f64 (*.f64 d d) b) c))) c)) b) c) |
(/ (* b c) (pow d 2)) |
(*.f64 (/.f64 (/.f64 c d) d) b) |
(* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2)))) |
(*.f64 (-.f64 (/.f64 b (*.f64 d d)) (/.f64 (/.f64 a d) c)) c) |
(* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2)))) |
(*.f64 (-.f64 (/.f64 b (*.f64 d d)) (/.f64 (/.f64 a d) c)) c) |
(* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2)))) |
(*.f64 (-.f64 (/.f64 b (*.f64 d d)) (/.f64 (/.f64 a d) c)) c) |
(/ (* b c) d) |
(/.f64 (*.f64 c b) d) |
(* c (+ (* -1 (/ a c)) (/ b d))) |
(*.f64 (-.f64 (/.f64 b d) (/.f64 a c)) c) |
(* c (+ (* -1 (/ a c)) (/ b d))) |
(*.f64 (-.f64 (/.f64 b d) (/.f64 a c)) c) |
(* c (+ (* -1 (/ a c)) (/ b d))) |
(*.f64 (-.f64 (/.f64 b d) (/.f64 a c)) c) |
(/ c d) |
(/.f64 c d) |
(/ c d) |
(/.f64 c d) |
(/ c d) |
(/.f64 c d) |
(/ c d) |
(/.f64 c d) |
(/ b c) |
(/.f64 b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 d a (/.f64 (*.f64 (*.f64 d d) b) c)) c) b)) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(/.f64 (+.f64 (fma.f64 (pow.f64 (/.f64 d c) #s(literal 3 binary64)) a (/.f64 (neg.f64 (fma.f64 d a (/.f64 (*.f64 (*.f64 d d) b) c))) c)) b) c) |
(/ b c) |
(/.f64 b c) |
(/ (+ b (* -1 (/ (* b (pow d 2)) (pow c 2)))) c) |
(fma.f64 (*.f64 (neg.f64 d) d) (/.f64 b (pow.f64 c #s(literal 3 binary64))) (/.f64 b c)) |
(/ (- (+ b (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2))) c) |
(/.f64 (fma.f64 b (fma.f64 (/.f64 (neg.f64 d) c) (/.f64 d c) (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) b) c) |
(/ (- (+ b (* -1 (/ (* b (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2)))) c) |
(/.f64 (-.f64 (*.f64 b (fma.f64 (/.f64 d c) (/.f64 d c) (/.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))))) (fma.f64 (pow.f64 d #s(literal 4 binary64)) (/.f64 b (pow.f64 c #s(literal 4 binary64))) b)) (neg.f64 c)) |
(/ 1 c) |
(/.f64 #s(literal 1 binary64) c) |
(/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) c) |
(fma.f64 (neg.f64 d) (/.f64 d (pow.f64 c #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) c)) |
(/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) c) |
(/.f64 (-.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal -1 binary64))) c) |
(/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) c) |
(/.f64 (fma.f64 (/.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))) #s(literal -1 binary64) (-.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal -1 binary64)))) c) |
(/ 1 c) |
(/.f64 #s(literal 1 binary64) c) |
(/ 1 c) |
(/.f64 #s(literal 1 binary64) c) |
(/ 1 c) |
(/.f64 #s(literal 1 binary64) c) |
(/ 1 c) |
(/.f64 #s(literal 1 binary64) c) |
(/ b c) |
(/.f64 b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 d a (/.f64 (*.f64 (*.f64 d d) b) c)) c) b)) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(/.f64 (+.f64 (fma.f64 (pow.f64 (/.f64 d c) #s(literal 3 binary64)) a (/.f64 (neg.f64 (fma.f64 d a (/.f64 (*.f64 (*.f64 d d) b) c))) c)) b) c) |
(/ b c) |
(/.f64 b c) |
(/ (+ b (* -1 (/ (* b (pow d 2)) (pow c 2)))) c) |
(fma.f64 (*.f64 (neg.f64 d) d) (/.f64 b (pow.f64 c #s(literal 3 binary64))) (/.f64 b c)) |
(/ (- (+ b (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2))) c) |
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(*.f64 (*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) d) d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) d) d) |
(/ c (* a d)) |
(/.f64 (/.f64 c d) a) |
(/ c (* a d)) |
(/.f64 (/.f64 c d) a) |
(/ c (* a d)) |
(/.f64 (/.f64 c d) a) |
(/ c (* a d)) |
(/.f64 (/.f64 c d) a) |
| 4 766× | lower-fma.f32 |
| 4 762× | lower-fma.f64 |
| 4 746× | lower-/.f32 |
| 4 730× | lower-/.f64 |
| 3 880× | lower-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 251 |
| 0 | 56 | 251 |
| 1 | 199 | 243 |
| 2 | 1450 | 243 |
| 0 | 8501 | 243 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) |
(/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) |
(fma.f64 (/.f64 c d) b (neg.f64 a)) |
(/.f64 c d) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) b)) |
(*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) b) |
#s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) |
(/.f64 #s(literal 1 binary64) c) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) |
(*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c) |
(/.f64 b (fma.f64 c c (*.f64 d d))) |
(fma.f64 c c (*.f64 d d)) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(-.f64 (*.f64 b c) (*.f64 a d)) |
(*.f64 b c) |
(*.f64 a d) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) a)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) a))) c)) |
(/.f64 (-.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) a))) c) |
(-.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) a))) |
(neg.f64 a) |
#s(approx (+ (* c c) (* d d)) (*.f64 d d)) |
(/.f64 (/.f64 c d) a) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) |
(*.f64 (/.f64 (+.f64 (fma.f64 a a (*.f64 (*.f64 (/.f64 c d) b) a)) (pow.f64 (*.f64 (/.f64 c d) b) #s(literal 2 binary64))) d) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) (+.f64 (fma.f64 a a (*.f64 (*.f64 (/.f64 c d) b) a)) (pow.f64 (*.f64 (/.f64 c d) b) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (/.f64 d (-.f64 (pow.f64 (*.f64 (/.f64 c d) b) #s(literal 2 binary64)) (*.f64 a a))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 c d) b a) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 d (-.f64 (pow.f64 (*.f64 (/.f64 c d) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 a a (*.f64 (*.f64 (/.f64 c d) b) a)) (pow.f64 (*.f64 (/.f64 c d) b) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c d) b) #s(literal 2 binary64)) (*.f64 a a)) d) (pow.f64 (fma.f64 (/.f64 c d) b a) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c d) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) d) (pow.f64 (+.f64 (fma.f64 a a (*.f64 (*.f64 (/.f64 c d) b) a)) (pow.f64 (*.f64 (/.f64 c d) b) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c d) b) #s(literal 2 binary64)) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 c d) b a) d))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c d) b) #s(literal 2 binary64)) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (*.f64 d (fma.f64 (/.f64 c d) b a)))) |
(*.f64 (pow.f64 d #s(literal -1 binary64)) (fma.f64 (/.f64 c d) b (neg.f64 a))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c d) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (fma.f64 a a (*.f64 (*.f64 (/.f64 c d) b) a)) (pow.f64 (*.f64 (/.f64 c d) b) #s(literal 2 binary64))) d))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c d) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 d (+.f64 (fma.f64 a a (*.f64 (*.f64 (/.f64 c d) b) a)) (pow.f64 (*.f64 (/.f64 c d) b) #s(literal 2 binary64)))))) |
(*.f64 (-.f64 a (*.f64 (/.f64 c d) b)) (/.f64 #s(literal -1 binary64) d)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 d (fma.f64 (/.f64 c d) b (neg.f64 a)))))) |
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 a (*.f64 (/.f64 c d) b)) d)) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) |
(*.f64 (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) (/.f64 (fma.f64 (/.f64 c d) b a) (fma.f64 (/.f64 c d) b a))) |
(*.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) (pow.f64 d #s(literal -1 binary64))) |
(pow.f64 (/.f64 d (fma.f64 (/.f64 c d) b (neg.f64 a))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 c d) b) d) (/.f64 (*.f64 (/.f64 c d) b) d)) (*.f64 (/.f64 a d) (/.f64 a d))) (+.f64 (/.f64 (*.f64 (/.f64 c d) b) d) (/.f64 a d))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (/.f64 c d) b) d) #s(literal 3 binary64)) (pow.f64 (/.f64 a d) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (/.f64 c d) b) d) (/.f64 (*.f64 (/.f64 c d) b) d) (fma.f64 (/.f64 a d) (/.f64 a d) (*.f64 (/.f64 (*.f64 (/.f64 c d) b) d) (/.f64 a d))))) |
(/.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c d) b) #s(literal 2 binary64)) (*.f64 a a)) d)) (neg.f64 (fma.f64 (/.f64 c d) b a))) |
(/.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c d) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) d)) (neg.f64 (+.f64 (fma.f64 a a (*.f64 (*.f64 (/.f64 c d) b) a)) (pow.f64 (*.f64 (/.f64 c d) b) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 c d) b) d) (*.f64 d a)) (*.f64 d d)) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c d) b) #s(literal 2 binary64)) (*.f64 a a)) d) (fma.f64 (/.f64 c d) b a)) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c d) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) d) (+.f64 (fma.f64 a a (*.f64 (*.f64 (/.f64 c d) b) a)) (pow.f64 (*.f64 (/.f64 c d) b) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c d) b) #s(literal 2 binary64)) (*.f64 a a))) (neg.f64 (*.f64 (fma.f64 (/.f64 c d) b a) d))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c d) b) #s(literal 2 binary64)) (*.f64 a a))) (neg.f64 (*.f64 d (fma.f64 (/.f64 c d) b a)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c d) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (*.f64 (+.f64 (fma.f64 a a (*.f64 (*.f64 (/.f64 c d) b) a)) (pow.f64 (*.f64 (/.f64 c d) b) #s(literal 2 binary64))) d))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c d) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (*.f64 d (+.f64 (fma.f64 a a (*.f64 (*.f64 (/.f64 c d) b) a)) (pow.f64 (*.f64 (/.f64 c d) b) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c d) b) #s(literal 2 binary64)) (*.f64 a a)) (*.f64 d (fma.f64 (/.f64 c d) b a))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c d) b) #s(literal 2 binary64)) (*.f64 a a)) (*.f64 (fma.f64 (/.f64 c d) b a) d)) |
(/.f64 (pow.f64 d #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c d) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (*.f64 d (+.f64 (fma.f64 a a (*.f64 (*.f64 (/.f64 c d) b) a)) (pow.f64 (*.f64 (/.f64 c d) b) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c d) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (*.f64 (+.f64 (fma.f64 a a (*.f64 (*.f64 (/.f64 c d) b) a)) (pow.f64 (*.f64 (/.f64 c d) b) #s(literal 2 binary64))) d)) |
(/.f64 (-.f64 a (*.f64 (/.f64 c d) b)) (neg.f64 d)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 d (fma.f64 (/.f64 c d) b (neg.f64 a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 c d) b a) (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c d) b) #s(literal 2 binary64)) (*.f64 a a)) d))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 a a (*.f64 (*.f64 (/.f64 c d) b) a)) (pow.f64 (*.f64 (/.f64 c d) b) #s(literal 2 binary64))) (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c d) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) d))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 c d) b a) d) (-.f64 (pow.f64 (*.f64 (/.f64 c d) b) #s(literal 2 binary64)) (*.f64 a a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (fma.f64 a a (*.f64 (*.f64 (/.f64 c d) b) a)) (pow.f64 (*.f64 (/.f64 c d) b) #s(literal 2 binary64))) d) (-.f64 (pow.f64 (*.f64 (/.f64 c d) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d (fma.f64 (/.f64 c d) b a)) (-.f64 (pow.f64 (*.f64 (/.f64 c d) b) #s(literal 2 binary64)) (*.f64 a a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d (+.f64 (fma.f64 a a (*.f64 (*.f64 (/.f64 c d) b) a)) (pow.f64 (*.f64 (/.f64 c d) b) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 (/.f64 c d) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 d (fma.f64 (/.f64 c d) b (neg.f64 a)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 d (fma.f64 (/.f64 c d) b (neg.f64 a)))) |
(/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) |
(neg.f64 (/.f64 (-.f64 a (*.f64 (/.f64 c d) b)) d)) |
(fma.f64 (*.f64 (/.f64 c d) b) (pow.f64 d #s(literal -1 binary64)) (neg.f64 (/.f64 a d))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 c d) b) #s(literal 2 binary64)) (*.f64 d (fma.f64 (/.f64 c d) b a))) (/.f64 (*.f64 a a) (*.f64 d (fma.f64 (/.f64 c d) b a)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 d)) (/.f64 (-.f64 a (*.f64 (/.f64 c d) b)) d)) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (/.f64 c d) b) #s(literal 2 binary64)) (fma.f64 (/.f64 c d) b a)) d) (/.f64 (/.f64 (*.f64 a a) (fma.f64 (/.f64 c d) b a)) d)) |
(-.f64 (/.f64 #s(literal 0 binary64) d) (/.f64 (-.f64 a (*.f64 (/.f64 c d) b)) d)) |
(-.f64 (/.f64 (*.f64 (/.f64 c d) b) d) (/.f64 a d)) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 a (*.f64 (/.f64 c d) b)) d)) |
(exp.f64 (*.f64 (log.f64 (/.f64 d (fma.f64 (/.f64 c d) b (neg.f64 a)))) #s(literal -1 binary64))) |
(+.f64 (/.f64 (*.f64 (/.f64 c d) b) d) (neg.f64 (/.f64 a d))) |
(*.f64 (-.f64 (*.f64 a a) (pow.f64 (*.f64 (/.f64 c d) b) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 a) (*.f64 (/.f64 c d) b)))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c d) b) #s(literal 2 binary64)) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 c d) b a)))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c d) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 a a (*.f64 (*.f64 (/.f64 c d) b) a)) (pow.f64 (*.f64 (/.f64 c d) b) #s(literal 2 binary64)))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c d) b) #s(literal 2 binary64)) (*.f64 a a)) (pow.f64 (fma.f64 (/.f64 c d) b a) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c d) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (+.f64 (pow.f64 (*.f64 (/.f64 c d) b) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 c d) b) a))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c d) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (pow.f64 (+.f64 (fma.f64 a a (*.f64 (*.f64 (/.f64 c d) b) a)) (pow.f64 (*.f64 (/.f64 c d) b) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (-.f64 a (*.f64 (/.f64 c d) b))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 c d) b (neg.f64 a))) |
(*.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 c d) b) #s(literal 2 binary64)) (fma.f64 (/.f64 c d) b a)) (/.f64 (pow.f64 (*.f64 (/.f64 c d) b) #s(literal 2 binary64)) (fma.f64 (/.f64 c d) b a))) (*.f64 (/.f64 (*.f64 a a) (fma.f64 (/.f64 c d) b a)) (/.f64 (*.f64 a a) (fma.f64 (/.f64 c d) b a)))) (+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 c d) b) #s(literal 2 binary64)) (fma.f64 (/.f64 c d) b a)) (/.f64 (*.f64 a a) (fma.f64 (/.f64 c d) b a)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 a (*.f64 (/.f64 c d) b)) (-.f64 a (*.f64 (/.f64 c d) b)))) (-.f64 a (*.f64 (/.f64 c d) b))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 c d) b) #s(literal 2 binary64)) (fma.f64 (/.f64 c d) b a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 a a) (fma.f64 (/.f64 c d) b a)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 c d) b) #s(literal 2 binary64)) (fma.f64 (/.f64 c d) b a)) (/.f64 (pow.f64 (*.f64 (/.f64 c d) b) #s(literal 2 binary64)) (fma.f64 (/.f64 c d) b a)) (fma.f64 (/.f64 (*.f64 a a) (fma.f64 (/.f64 c d) b a)) (/.f64 (*.f64 a a) (fma.f64 (/.f64 c d) b a)) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 c d) b) #s(literal 2 binary64)) (fma.f64 (/.f64 c d) b a)) (/.f64 (*.f64 a a) (fma.f64 (/.f64 c d) b a)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 a (*.f64 (/.f64 c d) b)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 a (*.f64 (/.f64 c d) b)) (-.f64 a (*.f64 (/.f64 c d) b)) (*.f64 #s(literal 0 binary64) (-.f64 a (*.f64 (/.f64 c d) b)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 a a) (pow.f64 (*.f64 (/.f64 c d) b) #s(literal 2 binary64)))) (neg.f64 (-.f64 (neg.f64 a) (*.f64 (/.f64 c d) b)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c d) b) #s(literal 2 binary64)) (*.f64 a a)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 c d) b a)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c d) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (fma.f64 a a (*.f64 (*.f64 (/.f64 c d) b) a)) (pow.f64 (*.f64 (/.f64 c d) b) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 c d) b) #s(literal 2 binary64)) (fma.f64 (/.f64 c d) b a)) (*.f64 (fma.f64 (/.f64 c d) b a) (*.f64 a a))) (*.f64 (fma.f64 (/.f64 c d) b a) (fma.f64 (/.f64 c d) b a))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 c) b) a (*.f64 (neg.f64 d) (*.f64 (neg.f64 a) a))) (*.f64 (neg.f64 d) a)) |
(/.f64 (fma.f64 (*.f64 (neg.f64 c) b) (fma.f64 a a #s(literal 0 binary64)) (*.f64 (neg.f64 d) (pow.f64 (neg.f64 a) #s(literal 3 binary64)))) (*.f64 (neg.f64 d) (fma.f64 a a #s(literal 0 binary64)))) |
(/.f64 (fma.f64 (*.f64 b (neg.f64 c)) a (*.f64 (neg.f64 d) (*.f64 (neg.f64 a) a))) (*.f64 (neg.f64 d) a)) |
(/.f64 (fma.f64 (*.f64 b (neg.f64 c)) (fma.f64 a a #s(literal 0 binary64)) (*.f64 (neg.f64 d) (pow.f64 (neg.f64 a) #s(literal 3 binary64)))) (*.f64 (neg.f64 d) (fma.f64 a a #s(literal 0 binary64)))) |
(/.f64 (fma.f64 b a (*.f64 (/.f64 d c) (*.f64 (neg.f64 a) a))) (/.f64 (*.f64 d a) c)) |
(/.f64 (fma.f64 (neg.f64 (*.f64 c b)) a (*.f64 (neg.f64 d) (*.f64 (neg.f64 a) a))) (*.f64 (neg.f64 d) a)) |
(/.f64 (fma.f64 (neg.f64 (*.f64 c b)) (fma.f64 a a #s(literal 0 binary64)) (*.f64 (neg.f64 d) (pow.f64 (neg.f64 a) #s(literal 3 binary64)))) (*.f64 (neg.f64 d) (fma.f64 a a #s(literal 0 binary64)))) |
(/.f64 (fma.f64 (*.f64 c b) a (*.f64 d (*.f64 (neg.f64 a) a))) (*.f64 d a)) |
(/.f64 (fma.f64 (*.f64 c b) (fma.f64 a a #s(literal 0 binary64)) (*.f64 d (pow.f64 (neg.f64 a) #s(literal 3 binary64)))) (*.f64 d (fma.f64 a a #s(literal 0 binary64)))) |
(/.f64 (+.f64 a (*.f64 (/.f64 d (*.f64 c b)) (*.f64 (neg.f64 a) a))) (*.f64 (/.f64 d (*.f64 c b)) a)) |
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 a a #s(literal 0 binary64)) (*.f64 (/.f64 d (*.f64 c b)) (pow.f64 (neg.f64 a) #s(literal 3 binary64)))) (*.f64 (/.f64 d (*.f64 c b)) (fma.f64 a a #s(literal 0 binary64)))) |
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 d a) c) #s(literal 2 binary64)) (*.f64 b b)) (-.f64 (*.f64 (/.f64 d c) (neg.f64 a)) b)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 b b) (fma.f64 (/.f64 d c) a b)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 (*.f64 d a) c) #s(literal 2 binary64)) (fma.f64 (/.f64 d c) a b)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 b b) (fma.f64 (/.f64 d c) a b)) (/.f64 (*.f64 b b) (fma.f64 (/.f64 d c) a b)) (fma.f64 (/.f64 (pow.f64 (/.f64 (*.f64 d a) c) #s(literal 2 binary64)) (fma.f64 (/.f64 d c) a b)) (/.f64 (pow.f64 (/.f64 (*.f64 d a) c) #s(literal 2 binary64)) (fma.f64 (/.f64 d c) a b)) (*.f64 (/.f64 (*.f64 b b) (fma.f64 (/.f64 d c) a b)) (/.f64 (pow.f64 (/.f64 (*.f64 d a) c) #s(literal 2 binary64)) (fma.f64 (/.f64 d c) a b)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (/.f64 (*.f64 d a) c) (fma.f64 (/.f64 d c) a b) (*.f64 b b))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 (*.f64 d a) c) #s(literal 3 binary64)) (fma.f64 (/.f64 (*.f64 d a) c) (fma.f64 (/.f64 d c) a b) (*.f64 b b))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (/.f64 (*.f64 d a) c) (fma.f64 (/.f64 d c) a b) (*.f64 b b))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (/.f64 (*.f64 d a) c) (fma.f64 (/.f64 d c) a b) (*.f64 b b))) (fma.f64 (/.f64 (pow.f64 (/.f64 (*.f64 d a) c) #s(literal 3 binary64)) (fma.f64 (/.f64 (*.f64 d a) c) (fma.f64 (/.f64 d c) a b) (*.f64 b b))) (/.f64 (pow.f64 (/.f64 (*.f64 d a) c) #s(literal 3 binary64)) (fma.f64 (/.f64 (*.f64 d a) c) (fma.f64 (/.f64 d c) a b) (*.f64 b b))) (*.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (/.f64 (*.f64 d a) c) (fma.f64 (/.f64 d c) a b) (*.f64 b b))) (/.f64 (pow.f64 (/.f64 (*.f64 d a) c) #s(literal 3 binary64)) (fma.f64 (/.f64 (*.f64 d a) c) (fma.f64 (/.f64 d c) a b) (*.f64 b b))))))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (*.f64 d a) c) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 d a) c) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 (*.f64 (/.f64 d c) (neg.f64 a)) b)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 b b) (pow.f64 (/.f64 (*.f64 d a) c) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 d c) a b)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 d a) c) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 d a) c) (fma.f64 (/.f64 d c) a b) (*.f64 b b))))) |
(/.f64 (-.f64 (*.f64 (*.f64 b b) (fma.f64 (/.f64 d c) a b)) (*.f64 (fma.f64 (/.f64 d c) a b) (pow.f64 (/.f64 (*.f64 d a) c) #s(literal 2 binary64)))) (*.f64 (fma.f64 (/.f64 d c) a b) (fma.f64 (/.f64 d c) a b))) |
(/.f64 (-.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (/.f64 (*.f64 d a) c) (fma.f64 (/.f64 d c) a b) (*.f64 b b))) (*.f64 (fma.f64 (/.f64 (*.f64 d a) c) (fma.f64 (/.f64 d c) a b) (*.f64 b b)) (pow.f64 (/.f64 (*.f64 d a) c) #s(literal 3 binary64)))) (*.f64 (fma.f64 (/.f64 (*.f64 d a) c) (fma.f64 (/.f64 d c) a b) (*.f64 b b)) (fma.f64 (/.f64 (*.f64 d a) c) (fma.f64 (/.f64 d c) a b) (*.f64 b b)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (pow.f64 (/.f64 (*.f64 d a) c) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (/.f64 d c) a b))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 d a) c) #s(literal 3 binary64)))) (neg.f64 (fma.f64 b b (-.f64 (pow.f64 (/.f64 (*.f64 d a) c) #s(literal 2 binary64)) (/.f64 b (/.f64 (/.f64 (neg.f64 c) d) a)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 d a) c) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (*.f64 d a) c) (fma.f64 (/.f64 d c) a b) (*.f64 b b)))) |
(/.f64 (-.f64 (*.f64 b b) (pow.f64 (/.f64 (*.f64 d a) c) #s(literal 2 binary64))) (fma.f64 (/.f64 d c) a b)) |
(/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 d a) c) #s(literal 3 binary64))) (fma.f64 b b (-.f64 (pow.f64 (/.f64 (*.f64 d a) c) #s(literal 2 binary64)) (/.f64 b (/.f64 (/.f64 (neg.f64 c) d) a))))) |
(/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 d a) c) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 d a) c) (fma.f64 (/.f64 d c) a b) (*.f64 b b))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 b (/.f64 (*.f64 d a) c)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b (-.f64 (pow.f64 (/.f64 (*.f64 d a) c) #s(literal 2 binary64)) (/.f64 b (/.f64 (/.f64 (neg.f64 c) d) a)))) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 d a) c) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 b (/.f64 (*.f64 d a) c)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 b (/.f64 (*.f64 d a) c)) #s(literal -1 binary64))) |
(neg.f64 (fma.f64 #s(literal -1 binary64) b (/.f64 (*.f64 d a) c))) |
(fma.f64 (neg.f64 (/.f64 d c)) a b) |
(fma.f64 (/.f64 d c) (neg.f64 a) b) |
(fma.f64 (*.f64 b b) (pow.f64 (fma.f64 (/.f64 d c) a b) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (/.f64 (*.f64 d a) c) #s(literal 2 binary64)) (fma.f64 (/.f64 d c) a b)))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (/.f64 (*.f64 d a) c) (fma.f64 (/.f64 d c) a b) (*.f64 b b)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (/.f64 (*.f64 d a) c) #s(literal 3 binary64)) (fma.f64 (/.f64 (*.f64 d a) c) (fma.f64 (/.f64 d c) a b) (*.f64 b b))))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 b) (*.f64 (/.f64 d c) (neg.f64 a))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 d a) c) b) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 d c) (neg.f64 a)) b) |
(fma.f64 #s(literal 1 binary64) b (*.f64 (/.f64 d c) (neg.f64 a))) |
(fma.f64 b #s(literal 1 binary64) (*.f64 (/.f64 d c) (neg.f64 a))) |
(-.f64 (/.f64 (*.f64 b b) (fma.f64 (/.f64 d c) a b)) (/.f64 (pow.f64 (/.f64 (*.f64 d a) c) #s(literal 2 binary64)) (fma.f64 (/.f64 d c) a b))) |
(-.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (/.f64 (*.f64 d a) c) (fma.f64 (/.f64 d c) a b) (*.f64 b b))) (/.f64 (pow.f64 (/.f64 (*.f64 d a) c) #s(literal 3 binary64)) (fma.f64 (/.f64 (*.f64 d a) c) (fma.f64 (/.f64 d c) a b) (*.f64 b b)))) |
(-.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1 binary64) b (/.f64 (*.f64 d a) c))) |
(-.f64 b (/.f64 (*.f64 d a) c)) |
(+.f64 (/.f64 (*.f64 b b) (fma.f64 (/.f64 d c) a b)) (neg.f64 (/.f64 (pow.f64 (/.f64 (*.f64 d a) c) #s(literal 2 binary64)) (fma.f64 (/.f64 d c) a b)))) |
(+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (/.f64 (*.f64 d a) c) (fma.f64 (/.f64 d c) a b) (*.f64 b b))) (neg.f64 (/.f64 (pow.f64 (/.f64 (*.f64 d a) c) #s(literal 3 binary64)) (fma.f64 (/.f64 (*.f64 d a) c) (fma.f64 (/.f64 d c) a b) (*.f64 b b))))) |
(+.f64 (*.f64 (/.f64 d c) (neg.f64 a)) b) |
(+.f64 b (*.f64 (/.f64 d c) (neg.f64 a))) |
(*.f64 (*.f64 (neg.f64 a) a) (pow.f64 a #s(literal -1 binary64))) |
(*.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a a #s(literal 0 binary64)))) |
(*.f64 #s(literal -1 binary64) a) |
(*.f64 #s(literal 1 binary64) (neg.f64 a)) |
(*.f64 a #s(literal -1 binary64)) |
(/.f64 (neg.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64))) (neg.f64 (fma.f64 a a #s(literal 0 binary64)))) |
(/.f64 (*.f64 (neg.f64 a) a) a) |
(/.f64 (*.f64 a a) (neg.f64 a)) |
(/.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 a a) (*.f64 #s(literal 0 binary64) (neg.f64 a))))) |
(/.f64 (pow.f64 (neg.f64 a) #s(literal 3 binary64)) (fma.f64 a a #s(literal 0 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (neg.f64 a) a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a a #s(literal 0 binary64)) (pow.f64 (neg.f64 a) #s(literal 3 binary64)))) |
(neg.f64 a) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal 0 binary64))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a a #s(literal 0 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) a) (/.f64 (*.f64 a a) a)) |
(-.f64 #s(literal 0 binary64) a) |
(+.f64 #s(literal 0 binary64) (neg.f64 a)) |
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) |
(*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #s(literal 1 binary64)) |
#s(approx (+ (* c c) (* d d)) (*.f64 d d)) |
(/.f64 (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d))) #s(literal -1 binary64)) |
(/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #s(literal -1 binary64))) |
(neg.f64 (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) c)) (/.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 d))) |
(*.f64 (/.f64 (pow.f64 d #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 c a)) |
(*.f64 (/.f64 (neg.f64 c) #s(literal 1 binary64)) (/.f64 (pow.f64 d #s(literal -1 binary64)) (neg.f64 a))) |
(*.f64 (/.f64 (neg.f64 c) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) d) a)) |
(*.f64 (/.f64 c #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 d #s(literal -1 binary64))) a)) |
(*.f64 (pow.f64 (/.f64 (neg.f64 a) c) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) d)) |
(*.f64 (pow.f64 (/.f64 a c) #s(literal -1 binary64)) (pow.f64 d #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 d a) c) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 (*.f64 d a) c) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 c a) (/.f64 (neg.f64 (pow.f64 d #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 c a) (pow.f64 d #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 c) a) (/.f64 (pow.f64 d #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 c) a) (/.f64 #s(literal -1 binary64) d)) |
(*.f64 (/.f64 #s(literal -1 binary64) d) (/.f64 c (neg.f64 a))) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (/.f64 c d) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (neg.f64 c) d)) |
(*.f64 (pow.f64 d #s(literal -1 binary64)) (/.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 c #s(literal -1 binary64)))) |
(*.f64 (pow.f64 d #s(literal -1 binary64)) (/.f64 c a)) |
(*.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 c d)) |
(*.f64 (/.f64 (/.f64 (neg.f64 c) d) a) #s(literal -1 binary64)) |
(*.f64 (/.f64 (neg.f64 c) d) (/.f64 #s(literal -1 binary64) a)) |
(*.f64 (neg.f64 c) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 d) a))) |
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 c) d) a)) |
(*.f64 (/.f64 (/.f64 c d) a) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) a)) |
(*.f64 (/.f64 c d) (pow.f64 a #s(literal -1 binary64))) |
(*.f64 c (/.f64 (pow.f64 a #s(literal -1 binary64)) d)) |
(*.f64 c (pow.f64 (*.f64 d a) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (*.f64 d a) c) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 c d) a) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (/.f64 c a)) (neg.f64 d)) |
(/.f64 (neg.f64 (/.f64 (neg.f64 c) a)) d) |
(/.f64 (/.f64 c a) d) |
(/.f64 (/.f64 (neg.f64 c) a) (neg.f64 d)) |
(/.f64 (neg.f64 (pow.f64 a #s(literal -1 binary64))) (neg.f64 (/.f64 d c))) |
(/.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 d c)) |
(/.f64 (/.f64 (/.f64 (neg.f64 c) d) a) #s(literal -1 binary64)) |
(/.f64 (/.f64 (neg.f64 c) d) (neg.f64 a)) |
(/.f64 (neg.f64 c) (*.f64 (neg.f64 d) a)) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 d c) (neg.f64 a))) |
(/.f64 (/.f64 (/.f64 c d) a) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 d (/.f64 c a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) (/.f64 (neg.f64 c) a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d a) c)) |
(/.f64 (/.f64 c d) a) |
(/.f64 c (*.f64 d a)) |
(neg.f64 (/.f64 (/.f64 (neg.f64 c) d) a)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 a)) (/.f64 (/.f64 (neg.f64 c) d) a)) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 d) a)) (/.f64 (/.f64 (neg.f64 c) d) a)) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (/.f64 c d) a) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 c) d) a)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 d a) c)) #s(literal -1 binary64))) |
(exp.f64 (log.f64 (/.f64 (/.f64 c d) a))) |
Compiled 28 610 to 3 340 computations (88.3% saved)
30 alts after pruning (21 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 553 | 7 | 1 560 |
| Fresh | 2 | 14 | 16 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 555 | 30 | 1 585 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 59.4% | (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) |
| ✓ | 37.9% | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
| 24.0% | (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| 36.1% | (/.f64 #s(approx (+ (* (neg d) a) (* b c)) (*.f64 (neg.f64 d) a)) (fma.f64 d d (*.f64 c c))) | |
| 36.2% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (*.f64 (-.f64 (pow.f64 (/.f64 c d) #s(literal 2 binary64)) (pow.f64 (/.f64 c d) #s(literal 6 binary64))) (pow.f64 (+.f64 (pow.f64 (/.f64 c d) #s(literal 3 binary64)) (/.f64 c d)) #s(literal -1 binary64))))) d)) | |
| ✓ | 58.1% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) |
| 56.9% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) | |
| 56.9% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) c)) (/.f64 b (neg.f64 d)) (neg.f64 a)) d)) | |
| 23.7% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 c d) b) d) (/.f64 (*.f64 (/.f64 c d) b) d)) (*.f64 (/.f64 a d) (/.f64 a d))) (+.f64 (/.f64 (*.f64 (/.f64 c d) b) d) (/.f64 a d)))) | |
| 36.6% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) c) #s(approx (* (/ c b) (/ (* a d) c)) (/.f64 (*.f64 d a) b))) (*.f64 (/.f64 c b) c))) | |
| ✓ | 50.5% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
| ✓ | 52.6% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) a))) c)) |
| ✓ | 43.2% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
| 25.7% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- (/ (* c b) d) a) (/.f64 (*.f64 c b) d)) d)) | |
| 45.1% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (-.f64 (/.f64 b a) (/.f64 d c)) a)) c)) | |
| 22.3% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) | |
| 47.3% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (+ (* (/ (/ c d) d) c) -1) a) (* b (- (/ c d) (pow (/ c d) 3)))) (*.f64 (fma.f64 (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) (/.f64 b a) (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64))) a)) d)) | |
| ✓ | 41.3% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
| 50.1% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (-.f64 (/.f64 b c) (/.f64 (/.f64 (*.f64 d a) c) c))) | |
| 24.2% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) b)) | |
| ✓ | 41.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) |
| 24.2% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c)) | |
| 26.9% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) | |
| 20.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) | |
| 43.1% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)))) | |
| 24.1% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 (/.f64 c d) d)) b)) | |
| 21.8% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) d)) b)) | |
| ✓ | 41.1% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) b)) |
| 21.5% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) | |
| 41.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (+ (* (/ (/ c d) d) c) -1) a) (* b (- (/ c d) (pow (/ c d) 3)))) d) (*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)) (/.f64 a d)))) |
Compiled 1 061 to 542 computations (48.9% saved)
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 c c))) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) b)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 (/.f64 c d) d)) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- (/ (* c b) d) a) (/.f64 (*.f64 c b) d)) d)) |
(/.f64 #s(approx (+ (* (neg d) a) (* b c)) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) |
(/.f64 #s(approx (+ (* (neg d) a) (* b c)) (*.f64 (neg.f64 d) a)) (fma.f64 d d (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 b) (/.f64 c d) a) (neg.f64 d))) |
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(*.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (-.f64 (/.f64 b c) (/.f64 (/.f64 (*.f64 a d) c) c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (-.f64 (/.f64 b c) (/.f64 (/.f64 (*.f64 d a) c) c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (-.f64 (/.f64 b a) (/.f64 d c)) a)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (+ (* (/ (/ c d) d) c) -1) a) (* b (- (/ c d) (pow (/ c d) 3)))) d) (*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)) (/.f64 a d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) a))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) c) #s(approx (* (/ c b) (/ (* a d) c)) (/.f64 (*.f64 d a) b))) (*.f64 (/.f64 c b) c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) c)) (/.f64 b (neg.f64 d)) (neg.f64 a)) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) c) (*.f64 (/.f64 c b) (/.f64 (*.f64 a d) c))) (*.f64 (/.f64 c b) c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 c d) b) d) (/.f64 (*.f64 (/.f64 c d) b) d)) (*.f64 (/.f64 a d) (/.f64 a d))) (+.f64 (/.f64 (*.f64 (/.f64 c d) b) d) (/.f64 a d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (+ (* (/ (/ c d) d) c) -1) a) (* b (- (/ c d) (pow (/ c d) 3)))) d) (*.f64 (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) (/.f64 b d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) d)) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (+ (* (/ (/ c d) d) c) -1) a) (* b (- (/ c d) (pow (/ c d) 3)))) (*.f64 (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) b)) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (+ (* (/ (/ c d) d) c) -1) a) (* b (- (/ c d) (pow (/ c d) 3)))) (*.f64 (fma.f64 (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) (/.f64 b a) (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64))) a)) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 a (pow.f64 c #s(literal 4 binary64))) d) (/.f64 b (pow.f64 c #s(literal 3 binary64)))) d (/.f64 (/.f64 (neg.f64 a) c) c)) d (/.f64 b c))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) (fma.f64 a d (*.f64 b c))) (-.f64 (pow.f64 (/.f64 (/.f64 (fma.f64 d d (*.f64 c c)) b) c) #s(literal -2 binary64)) (pow.f64 (/.f64 (/.f64 (fma.f64 d d (*.f64 c c)) a) d) #s(literal -2 binary64))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (*.f64 (-.f64 (pow.f64 (/.f64 c d) #s(literal 2 binary64)) (pow.f64 (/.f64 c d) #s(literal 6 binary64))) (pow.f64 (+.f64 (pow.f64 (/.f64 c d) #s(literal 3 binary64)) (/.f64 c d)) #s(literal -1 binary64))))) d)) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) a))) c)) |
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) a))) c)) |
5 calls:
| 406.0ms | a |
| 208.0ms | d |
| 128.0ms | c |
| 123.0ms | b |
| 54.0ms | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.3% | 8 | a |
| 70.2% | 5 | b |
| 84.7% | 4 | c |
| 88.0% | 8 | d |
| 79.3% | 5 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
Compiled 19 to 27 computations (-42.1% saved)
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 c c))) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) b)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 (/.f64 c d) d)) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- (/ (* c b) d) a) (/.f64 (*.f64 c b) d)) d)) |
(/.f64 #s(approx (+ (* (neg d) a) (* b c)) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) |
(/.f64 #s(approx (+ (* (neg d) a) (* b c)) (*.f64 (neg.f64 d) a)) (fma.f64 d d (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 b) (/.f64 c d) a) (neg.f64 d))) |
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(*.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (-.f64 (/.f64 b c) (/.f64 (/.f64 (*.f64 a d) c) c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (-.f64 (/.f64 b c) (/.f64 (/.f64 (*.f64 d a) c) c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (-.f64 (/.f64 b a) (/.f64 d c)) a)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (+ (* (/ (/ c d) d) c) -1) a) (* b (- (/ c d) (pow (/ c d) 3)))) d) (*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)) (/.f64 a d)))) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
1 calls:
| 213.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.9% | 4 | c |
Compiled 1 to 4 computations (-300% saved)
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 c c))) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) b)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 (/.f64 c d) d)) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- (/ (* c b) d) a) (/.f64 (*.f64 c b) d)) d)) |
(/.f64 #s(approx (+ (* (neg d) a) (* b c)) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) |
(/.f64 #s(approx (+ (* (neg d) a) (* b c)) (*.f64 (neg.f64 d) a)) (fma.f64 d d (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 b) (/.f64 c d) a) (neg.f64 d))) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) |
2 calls:
| 146.0ms | c |
| 77.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.8% | 5 | d |
| 81.2% | 6 | c |
Compiled 2 to 8 computations (-300% saved)
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 c c))) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) b)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 (/.f64 c d) d)) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- (/ (* c b) d) a) (/.f64 (*.f64 c b) d)) d)) |
(/.f64 #s(approx (+ (* (neg d) a) (* b c)) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) |
(/.f64 #s(approx (+ (* (neg d) a) (* b c)) (*.f64 (neg.f64 d) a)) (fma.f64 d d (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) |
1 calls:
| 69.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.8% | 5 | d |
Compiled 1 to 4 computations (-300% saved)
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 c c))) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) b)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 (/.f64 c d) d)) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- (/ (* c b) d) a) (/.f64 (*.f64 c b) d)) d)) |
(/.f64 #s(approx (+ (* (neg d) a) (* b c)) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) |
(/.f64 #s(approx (+ (* (neg d) a) (* b c)) (*.f64 (neg.f64 d) a)) (fma.f64 d d (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) |
1 calls:
| 68.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.9% | 5 | d |
Compiled 1 to 4 computations (-300% saved)
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 c c))) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) b)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 (/.f64 c d) d)) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- (/ (* c b) d) a) (/.f64 (*.f64 c b) d)) d)) |
(/.f64 #s(approx (+ (* (neg d) a) (* b c)) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) |
(/.f64 #s(approx (+ (* (neg d) a) (* b c)) (*.f64 (neg.f64 d) a)) (fma.f64 d d (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
3 calls:
| 74.0ms | c |
| 72.0ms | d |
| 30.0ms | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.7% | 5 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 72.5% | 6 | c |
| 78.9% | 7 | d |
Compiled 17 to 19 computations (-11.8% saved)
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 c c))) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) b)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 (/.f64 c d) d)) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- (/ (* c b) d) a) (/.f64 (*.f64 c b) d)) d)) |
(/.f64 #s(approx (+ (* (neg d) a) (* b c)) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) |
(/.f64 #s(approx (+ (* (neg d) a) (* b c)) (*.f64 (neg.f64 d) a)) (fma.f64 d d (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
(/.f64 #s(approx (+ (* (neg d) a) (* b c)) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
3 calls:
| 148.0ms | b |
| 141.0ms | d |
| 67.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.5% | 11 | b |
| 70.7% | 6 | c |
| 73.2% | 8 | d |
Compiled 3 to 12 computations (-300% saved)
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 c c))) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) b)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 (/.f64 c d) d)) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- (/ (* c b) d) a) (/.f64 (*.f64 c b) d)) d)) |
(/.f64 #s(approx (+ (* (neg d) a) (* b c)) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) |
(/.f64 #s(approx (+ (* (neg d) a) (* b c)) (*.f64 (neg.f64 d) a)) (fma.f64 d d (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
(/.f64 #s(approx (+ (* (neg d) a) (* b c)) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
1 calls:
| 44.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.1% | 4 | c |
Compiled 1 to 4 computations (-300% saved)
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 c c))) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) b)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 (/.f64 c d) d)) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- (/ (* c b) d) a) (/.f64 (*.f64 c b) d)) d)) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
1 calls:
| 48.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.7% | 4 | c |
Compiled 1 to 4 computations (-300% saved)
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 c c))) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) b)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 (/.f64 c d) d)) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
1 calls:
| 39.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.0% | 4 | c |
Compiled 1 to 4 computations (-300% saved)
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) c)) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 c c))) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))) b)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ c (+ (* c c) (* d d))) (/.f64 (/.f64 c d) d)) b)) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
3 calls:
| 55.0ms | a |
| 46.0ms | c |
| 40.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.3% | 5 | d |
| 60.4% | 8 | a |
| 66.2% | 5 | c |
Compiled 3 to 12 computations (-300% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
5 calls:
| 5.0ms | b |
| 3.0ms | c |
| 3.0ms | d |
| 3.0ms | a |
| 2.0ms | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 41.3% | 1 | b |
| 41.3% | 1 | a |
| 41.3% | 1 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 41.3% | 1 | d |
| 41.3% | 1 | c |
Compiled 19 to 27 computations (-42.1% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 1163208.594884478 | 7464670.254880726 |
| 12.0ms | -1.4268675690824077e-125 | -4.575831679981326e-127 |
| 15.0ms | -6.875026749812477e+111 | -6.314048656238151e+105 |
| 24.0ms | 352× | 0 | valid |
Compiled 552 to 504 computations (8.7% saved)
ival-mult: 9.0ms (65% of total)ival-div: 2.0ms (14.5% of total)ival-sub: 1.0ms (7.2% of total)ival-add: 1.0ms (7.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1163208.594884478 | 7464670.254880726 |
| 1.0ms | -1.4268675690824077e-125 | -4.575831679981326e-127 |
| 11.0ms | -6.875026749812477e+111 | -6.314048656238151e+105 |
| 8.0ms | 64× | 0 | valid |
Compiled 468 to 447 computations (4.5% saved)
ival-mult: 5.0ms (79% of total)ival-sub: 0.0ms (0% of total)ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 6.564569237164588e+50 | 7.730762045867994e+51 |
| 21.0ms | -1.7800230066285656e-16 | -1.9551296946356343e-39 |
| 8.0ms | -1.244827027533841e+72 | -4.602791864188612e+71 |
| 19.0ms | -8.84545050605479e+113 | -3.5339411742299344e+95 |
| 39.0ms | 512× | 0 | valid |
Compiled 658 to 658 computations (0% saved)
ival-mult: 13.0ms (64.4% of total)ival-div: 3.0ms (14.9% of total)ival-sub: 2.0ms (9.9% of total)ival-add: 2.0ms (9.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 6.564569237164588e+50 | 7.730762045867994e+51 |
| 1.0ms | -1.7800230066285656e-16 | -1.9551296946356343e-39 |
| 1.0ms | -1.244827027533841e+72 | -4.602791864188612e+71 |
| 1.0ms | -8.84545050605479e+113 | -3.5339411742299344e+95 |
Compiled 658 to 658 computations (0% saved)
| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 6.564569237164588e+50 | 7.730762045867994e+51 |
| 1.0ms | -1.7800230066285656e-16 | -1.9551296946356343e-39 |
| 0.0ms | -1.244827027533841e+72 | -4.602791864188612e+71 |
| 1.0ms | -8.84545050605479e+113 | -3.5339411742299344e+95 |
Compiled 658 to 658 computations (0% saved)
| 6× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 1.3638867126309172e+88 | 1.315309796853854e+95 |
| 11.0ms | 3.944738962884122e+75 | 4.5867967965513263e+77 |
| 1.0ms | 6.564569237164588e+50 | 7.730762045867994e+51 |
| 1.0ms | -1.7800230066285656e-16 | -1.9551296946356343e-39 |
| 17.0ms | -2.921546187249484e+59 | -4.657863386356219e+53 |
| 16.0ms | -1.3334719026109197e+126 | -3.923686005125462e+121 |
| 40.0ms | 528× | 0 | valid |
Compiled 920 to 969 computations (-5.3% saved)
ival-mult: 13.0ms (62.2% of total)ival-div: 3.0ms (14.4% of total)ival-sub: 2.0ms (9.6% of total)ival-add: 2.0ms (9.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 5× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 7464670.254880726 | 420298168.9866117 |
| 8.0ms | 1.8720121269188802e-33 | 4.828680775345802e-33 |
| 17.0ms | 8.30515736505202e-131 | 3.067219468076219e-122 |
| 17.0ms | -4.575831679981326e-127 | -7.026952172618217e-135 |
| 13.0ms | -6.875026749812477e+111 | -6.314048656238151e+105 |
| 44.0ms | 576× | 0 | valid |
Compiled 598 to 704 computations (-17.7% saved)
ival-mult: 17.0ms (60% of total)ival-sub: 6.0ms (21.2% of total)ival-div: 3.0ms (10.6% of total)ival-add: 2.0ms (7.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 7464670.254880726 | 420298168.9866117 |
| 1.0ms | -4.575831679981326e-127 | -7.026952172618217e-135 |
| 1.0ms | -6.875026749812477e+111 | -6.314048656238151e+105 |
Compiled 360 to 438 computations (-21.7% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 7464670.254880726 | 420298168.9866117 |
| 1.0ms | -4.575831679981326e-127 | -7.026952172618217e-135 |
| 15.0ms | -8.10894748566632e+113 | -6.875026749812477e+111 |
| 7.0ms | 112× | 0 | valid |
Compiled 330 to 404 computations (-22.4% saved)
ival-mult: 3.0ms (66.3% of total)ival-div: 1.0ms (22.1% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 3.0ms | 7464670.254880726 | 420298168.9866117 |
| 1.0ms | -4.575831679981326e-127 | -7.026952172618217e-135 |
| 10.0ms | -4.066796993950026e+114 | -8.10894748566632e+113 |
| 6.0ms | 96× | 0 | valid |
Compiled 315 to 387 computations (-22.9% saved)
ival-mult: 2.0ms (52.5% of total)ival-div: 1.0ms (26.2% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 7464670.254880726 | 420298168.9866117 |
| 7.0ms | -4.575831679981326e-127 | -7.026952172618217e-135 |
| 12.0ms | -6.029736633019118e+25 | -4.349005319816295e+24 |
| 15.0ms | -2.8493711749470972e+82 | -2.8287102266756023e+77 |
| 22.0ms | 304× | 0 | valid |
Compiled 297 to 483 computations (-62.6% saved)
ival-mult: 10.0ms (70.8% of total)ival-div: 2.0ms (14.2% of total)ival-sub: 1.0ms (7.1% of total)ival-add: 1.0ms (7.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 56× | neg-mul-1-binary64-*.f64-neg.f64 |
| 52× | unsub-neg-binary64--.f64-neg.f64-+.f64 |
| 30× | *-commutative-binary64-*.f64 |
| 28× | +-commutative-binary64-+.f64 |
| 28× | sub-neg-binary64-neg.f64-+.f64--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 148 | 1344 |
| 1 | 171 | 1344 |
| 2 | 199 | 1344 |
| 3 | 218 | 1344 |
| 4 | 234 | 1344 |
| 5 | 275 | 1344 |
| 6 | 339 | 1344 |
| 7 | 341 | 1344 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 c #s(literal -1200000000000000092946911049766233322404979286935558580173707735653418342353036503423451213598299813400543232 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) a))) c)) (if (<=.f64 c #s(literal -5716092316252427/762145642166990290864647761179972242614403843424065222377723867096038022172794340849684107193235344521442121855812163792833978437326241529856 binary64)) (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) (if (<=.f64 c #s(literal 6000000 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) a))) c))))) |
(if (<=.f64 c #s(literal -2299999999999999895679257460336543238718408173859382279529322571659225067965177654420741258880718051586605056 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 c #s(literal -5716092316252427/762145642166990290864647761179972242614403843424065222377723867096038022172794340849684107193235344521442121855812163792833978437326241529856 binary64)) (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) (if (<=.f64 c #s(literal 6000000 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c))))) |
(if (<=.f64 d #s(literal -14500000000000000133458476480232358133150077076544712683062583006127390157056432051234317219231956992 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) (if (<=.f64 d #s(literal -1220000000000000060903432649879667403462970291063191480594912190379589632 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) (if (<=.f64 d #s(literal -6592970859093183/21267647932558653966460912964485513216 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) (if (<=.f64 d #s(literal 749999999999999994915711505771220982346281331458048 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)))))) |
(if (<=.f64 d #s(literal -14500000000000000133458476480232358133150077076544712683062583006127390157056432051234317219231956992 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) (if (<=.f64 d #s(literal -1220000000000000060903432649879667403462970291063191480594912190379589632 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) (if (<=.f64 d #s(literal -6592970859093183/21267647932558653966460912964485513216 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) (if (<=.f64 d #s(literal 749999999999999994915711505771220982346281331458048 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)))))) |
(if (<=.f64 d #s(literal -14500000000000000133458476480232358133150077076544712683062583006127390157056432051234317219231956992 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) (if (<=.f64 d #s(literal -1220000000000000060903432649879667403462970291063191480594912190379589632 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) (if (<=.f64 d #s(literal -6592970859093183/21267647932558653966460912964485513216 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) (if (<=.f64 d #s(literal 749999999999999994915711505771220982346281331458048 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)))))) |
(if (<=.f64 d #s(literal -40000000000000001493637349885839558877573103017967281524110921641512020322685988405514453485684505660209596117368768036864 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 d #s(literal -289999999999999990674448083798815025388029438629495682629632 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) (if (<=.f64 d #s(literal -6592970859093183/21267647932558653966460912964485513216 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) (if (<=.f64 d #s(literal 800000000000000061038158728735096026359719767572480 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) (if (<=.f64 d #s(literal 38000000000000002431060328548003954604711322286358237913140293745730482339840 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) (if (<=.f64 d #s(literal 60999999999999998407843724226564291412660511840014795733596028036018418360811320602787840 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)))))))) |
(if (<=.f64 c #s(literal -209999999999999996710164060898024403243792766483692405436302274546360203804833074297043484651670087984480256 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 c #s(literal -5121618715362175/24388660549343689307668728357759111763660922989570087116087163747073216709529418907189891430183531024686147899385989241370687309994439728955392 binary64)) (/.f64 #s(approx (+ (* (neg d) a) (* b c)) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) (if (<=.f64 c #s(literal 7617066462771021/6243497100631984462763194459586332611497196285329942301718313919250743477639531240240612206126983942319653862242813245790895951358576570612580352 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 c #s(literal 6576757367989063/1461501637330902918203684832716283019655932542976 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) (if (<=.f64 c #s(literal 11500000 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))))))) |
(if (<=.f64 c #s(literal -209999999999999996710164060898024403243792766483692405436302274546360203804833074297043484651670087984480256 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 c #s(literal -5121618715362175/24388660549343689307668728357759111763660922989570087116087163747073216709529418907189891430183531024686147899385989241370687309994439728955392 binary64)) (/.f64 #s(approx (+ (* (neg d) a) (* b c)) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) (if (<=.f64 c #s(literal 11500000 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))))) |
(if (<=.f64 c #s(literal -61999999999999996521830765311451296122983337776437410495300369484873932942368309332212064551000597708163648585728 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 c #s(literal -5121618715362175/24388660549343689307668728357759111763660922989570087116087163747073216709529418907189891430183531024686147899385989241370687309994439728955392 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b)) (if (<=.f64 c #s(literal 11500000 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))))) |
(if (<=.f64 c #s(literal -2600000000000000040454481936613791863097323631994759726761403509120167831028364828488962013779123363958136330256384 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 c #s(literal -1341376330213903/6097165137335922326917182089439777940915230747392521779021790936768304177382354726797472857545882756171536974846497310342671827498609932238848 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) (if (<=.f64 c #s(literal 11500000 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))))) |
(if (<=.f64 c #s(literal -549999999999999967236263109471899177856329555349594350385008563322596407067541504 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 c #s(literal -55000000000000001761607680 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 c #s(literal -2743724311801165/6097165137335922326917182089439777940915230747392521779021790936768304177382354726797472857545882756171536974846497310342671827498609932238848 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 c #s(literal 11500000 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
| Outputs |
|---|
(if (<=.f64 c #s(literal -1200000000000000092946911049766233322404979286935558580173707735653418342353036503423451213598299813400543232 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) a))) c)) (if (<=.f64 c #s(literal -5716092316252427/762145642166990290864647761179972242614403843424065222377723867096038022172794340849684107193235344521442121855812163792833978437326241529856 binary64)) (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) (if (<=.f64 c #s(literal 6000000 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) a))) c))))) |
(if (<=.f64 c #s(literal -2299999999999999895679257460336543238718408173859382279529322571659225067965177654420741258880718051586605056 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 c #s(literal -5716092316252427/762145642166990290864647761179972242614403843424065222377723867096038022172794340849684107193235344521442121855812163792833978437326241529856 binary64)) (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) (if (<=.f64 c #s(literal 6000000 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c))))) |
(if (<=.f64 c #s(literal -2299999999999999895679257460336543238718408173859382279529322571659225067965177654420741258880718051586605056 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 c #s(literal -5716092316252427/762145642166990290864647761179972242614403843424065222377723867096038022172794340849684107193235344521442121855812163792833978437326241529856 binary64)) (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) (if (<=.f64 c #s(literal 6000000 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c))))) |
(if (<=.f64 d #s(literal -14500000000000000133458476480232358133150077076544712683062583006127390157056432051234317219231956992 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) (if (<=.f64 d #s(literal -1220000000000000060903432649879667403462970291063191480594912190379589632 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) (if (<=.f64 d #s(literal -6592970859093183/21267647932558653966460912964485513216 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) (if (<=.f64 d #s(literal 749999999999999994915711505771220982346281331458048 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)))))) |
(if (<=.f64 d #s(literal -14500000000000000133458476480232358133150077076544712683062583006127390157056432051234317219231956992 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) (if (<=.f64 d #s(literal -1220000000000000060903432649879667403462970291063191480594912190379589632 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) (if (<=.f64 d #s(literal -6592970859093183/21267647932558653966460912964485513216 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) (if (<=.f64 d #s(literal 749999999999999994915711505771220982346281331458048 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)))))) |
(if (<=.f64 d #s(literal -14500000000000000133458476480232358133150077076544712683062583006127390157056432051234317219231956992 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) (if (<=.f64 d #s(literal -1220000000000000060903432649879667403462970291063191480594912190379589632 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) (if (<=.f64 d #s(literal -6592970859093183/21267647932558653966460912964485513216 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) (if (<=.f64 d #s(literal 749999999999999994915711505771220982346281331458048 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)))))) |
(if (<=.f64 d #s(literal -14500000000000000133458476480232358133150077076544712683062583006127390157056432051234317219231956992 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) (if (<=.f64 d #s(literal -1220000000000000060903432649879667403462970291063191480594912190379589632 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) (if (<=.f64 d #s(literal -6592970859093183/21267647932558653966460912964485513216 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) (if (<=.f64 d #s(literal 749999999999999994915711505771220982346281331458048 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)))))) |
(if (<=.f64 d #s(literal -14500000000000000133458476480232358133150077076544712683062583006127390157056432051234317219231956992 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) (if (<=.f64 d #s(literal -1220000000000000060903432649879667403462970291063191480594912190379589632 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) (if (<=.f64 d #s(literal -6592970859093183/21267647932558653966460912964485513216 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) (if (<=.f64 d #s(literal 749999999999999994915711505771220982346281331458048 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)))))) |
(if (<=.f64 d #s(literal -14500000000000000133458476480232358133150077076544712683062583006127390157056432051234317219231956992 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) (if (<=.f64 d #s(literal -1220000000000000060903432649879667403462970291063191480594912190379589632 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) (if (<=.f64 d #s(literal -6592970859093183/21267647932558653966460912964485513216 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) (if (<=.f64 d #s(literal 749999999999999994915711505771220982346281331458048 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)))))) |
(if (<=.f64 d #s(literal -40000000000000001493637349885839558877573103017967281524110921641512020322685988405514453485684505660209596117368768036864 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 d #s(literal -289999999999999990674448083798815025388029438629495682629632 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) (if (<=.f64 d #s(literal -6592970859093183/21267647932558653966460912964485513216 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) (if (<=.f64 d #s(literal 800000000000000061038158728735096026359719767572480 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) (if (<=.f64 d #s(literal 38000000000000002431060328548003954604711322286358237913140293745730482339840 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) (if (<=.f64 d #s(literal 60999999999999998407843724226564291412660511840014795733596028036018418360811320602787840 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)))))))) |
(if (<=.f64 d #s(literal -40000000000000001493637349885839558877573103017967281524110921641512020322685988405514453485684505660209596117368768036864 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 d #s(literal -289999999999999990674448083798815025388029438629495682629632 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) (if (<=.f64 d #s(literal -6592970859093183/21267647932558653966460912964485513216 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 d a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) (if (<=.f64 d #s(literal 800000000000000061038158728735096026359719767572480 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) (if (<=.f64 d #s(literal 38000000000000002431060328548003954604711322286358237913140293745730482339840 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 d a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) (if (<=.f64 d #s(literal 60999999999999998407843724226564291412660511840014795733596028036018418360811320602787840 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)))))))) |
(if (<=.f64 c #s(literal -209999999999999996710164060898024403243792766483692405436302274546360203804833074297043484651670087984480256 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 c #s(literal -5121618715362175/24388660549343689307668728357759111763660922989570087116087163747073216709529418907189891430183531024686147899385989241370687309994439728955392 binary64)) (/.f64 #s(approx (+ (* (neg d) a) (* b c)) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) (if (<=.f64 c #s(literal 7617066462771021/6243497100631984462763194459586332611497196285329942301718313919250743477639531240240612206126983942319653862242813245790895951358576570612580352 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 c #s(literal 6576757367989063/1461501637330902918203684832716283019655932542976 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) (if (<=.f64 c #s(literal 11500000 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))))))) |
(if (<=.f64 c #s(literal -209999999999999996710164060898024403243792766483692405436302274546360203804833074297043484651670087984480256 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 c #s(literal -5121618715362175/24388660549343689307668728357759111763660922989570087116087163747073216709529418907189891430183531024686147899385989241370687309994439728955392 binary64)) (/.f64 #s(approx (+ (* (neg d) a) (* b c)) (*.f64 b c)) (fma.f64 d d (*.f64 c c))) (if (<=.f64 c #s(literal 7617066462771021/6243497100631984462763194459586332611497196285329942301718313919250743477639531240240612206126983942319653862242813245790895951358576570612580352 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 c #s(literal 6576757367989063/1461501637330902918203684832716283019655932542976 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 d a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) (if (<=.f64 c #s(literal 11500000 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))))))) |
(if (<=.f64 c #s(literal -209999999999999996710164060898024403243792766483692405436302274546360203804833074297043484651670087984480256 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 c #s(literal -5121618715362175/24388660549343689307668728357759111763660922989570087116087163747073216709529418907189891430183531024686147899385989241370687309994439728955392 binary64)) (/.f64 #s(approx (+ (* (neg d) a) (* b c)) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) (if (<=.f64 c #s(literal 11500000 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))))) |
(if (<=.f64 c #s(literal -209999999999999996710164060898024403243792766483692405436302274546360203804833074297043484651670087984480256 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 c #s(literal -5121618715362175/24388660549343689307668728357759111763660922989570087116087163747073216709529418907189891430183531024686147899385989241370687309994439728955392 binary64)) (/.f64 #s(approx (+ (* (neg d) a) (* b c)) (*.f64 b c)) (fma.f64 d d (*.f64 c c))) (if (<=.f64 c #s(literal 11500000 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))))) |
(if (<=.f64 c #s(literal -61999999999999996521830765311451296122983337776437410495300369484873932942368309332212064551000597708163648585728 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 c #s(literal -5121618715362175/24388660549343689307668728357759111763660922989570087116087163747073216709529418907189891430183531024686147899385989241370687309994439728955392 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b)) (if (<=.f64 c #s(literal 11500000 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))))) |
(if (<=.f64 c #s(literal -2600000000000000040454481936613791863097323631994759726761403509120167831028364828488962013779123363958136330256384 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 c #s(literal -1341376330213903/6097165137335922326917182089439777940915230747392521779021790936768304177382354726797472857545882756171536974846497310342671827498609932238848 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) (if (<=.f64 c #s(literal 11500000 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))))) |
(if (<=.f64 c #s(literal -549999999999999967236263109471899177856329555349594350385008563322596407067541504 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 c #s(literal -55000000000000001761607680 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 c #s(literal -2743724311801165/6097165137335922326917182089439777940915230747392521779021790936768304177382354726797472857545882756171536974846497310342671827498609932238848 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 c #s(literal 11500000 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
| 8 994× | lower-fma.f64 |
| 8 994× | lower-fma.f32 |
| 8 210× | lower-fma.f64 |
| 8 210× | lower-fma.f32 |
| 7 930× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 635 | 10589 |
| 1 | 2007 | 10118 |
| 2 | 6668 | 9822 |
| 0 | 8146 | 9385 |
| 0 | 191 | 1511 |
| 1 | 623 | 1461 |
| 2 | 1861 | 1441 |
| 3 | 5489 | 1432 |
| 0 | 8501 | 1356 |
| 0 | 517 | 8883 |
| 1 | 1638 | 8434 |
| 2 | 4930 | 8330 |
| 0 | 8249 | 7963 |
| 0 | 41 | 258 |
| 0 | 66 | 258 |
| 1 | 262 | 254 |
| 2 | 2129 | 254 |
| 0 | 8128 | 254 |
| 0 | 11 | 35 |
| 0 | 18 | 35 |
| 1 | 65 | 35 |
| 2 | 505 | 35 |
| 3 | 6376 | 35 |
| 0 | 8178 | 33 |
| 0 | 41 | 225 |
| 0 | 65 | 219 |
| 1 | 258 | 218 |
| 2 | 2033 | 218 |
| 0 | 8454 | 218 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 066 to 499 computations (53.2% saved)
Compiled 1 308 to 338 computations (74.2% saved)
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