
Time bar (total: 7.3s)
| 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)
| 562.0ms | 8 256× | 0 | valid |
ival-mult: 215.0ms (61.3% of total)ival-div: 52.0ms (14.8% of total)ival-sub: 37.0ms (10.5% of total)ival-add: 35.0ms (10% of total)ival-true: 7.0ms (2% of total)ival-assert: 3.0ms (0.9% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 104 | 0 | - | 1 | (-7.806916224540075e-286 -1.2945228252723203e-23 -3.029708241150784e-156 2.35603603013202e-224) | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 3 | 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 | 49 | 0 |
| ↳ | (*.f64 b c) | overflow | 35 | |
| ↳ | (-.f64 (*.f64 b c) (*.f64 a d)) | overflow | 61 | |
| ↳ | (*.f64 a d) | overflow | 31 | |
| ↳ | (+.f64 (*.f64 c c) (*.f64 d d)) | overflow | 116 | |
| ↳ | (*.f64 c c) | overflow | 67 | |
| ↳ | (*.f64 d d) | overflow | 65 | |
/.f64 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) | n/o | 35 | 0 |
| ↳ | (+.f64 (*.f64 c c) (*.f64 d d)) | overflow | 116 | |
| ↳ | (*.f64 c c) | overflow | 67 | |
| ↳ | (*.f64 d d) | overflow | 65 | |
/.f64 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) | o/n | 12 | 0 |
| ↳ | (*.f64 b c) | overflow | 35 | |
| ↳ | (-.f64 (*.f64 b c) (*.f64 a d)) | overflow | 61 | |
| ↳ | (*.f64 a d) | overflow | 31 | |
/.f64 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) | u/n | 4 | 0 |
| ↳ | (*.f64 b c) | underflow | 35 | |
| ↳ | (-.f64 (*.f64 b c) (*.f64 a d)) | underflow | 6 | |
| ↳ | (*.f64 a d) | underflow | 37 | |
-.f64 | (-.f64 (*.f64 b c) (*.f64 a d)) | nan-rescue | 3 | 0 |
| ↳ | (*.f64 b c) | overflow | 35 | |
| ↳ | (*.f64 a d) | overflow | 31 | |
/.f64 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) | u/u | 2 | 0 |
| ↳ | (*.f64 b c) | underflow | 35 | |
| ↳ | (-.f64 (*.f64 b c) (*.f64 a d)) | underflow | 6 | |
| ↳ | (*.f64 a d) | underflow | 37 | |
| ↳ | (+.f64 (*.f64 c c) (*.f64 d d)) | underflow | 8 | |
| ↳ | (*.f64 c c) | underflow | 61 | |
| ↳ | (*.f64 d d) | underflow | 62 | |
/.f64 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) | n/u | 1 | 0 |
| ↳ | (+.f64 (*.f64 c c) (*.f64 d d)) | underflow | 8 | |
| ↳ | (*.f64 c c) | underflow | 61 | |
| ↳ | (*.f64 d d) | underflow | 62 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 103 | 1 |
| - | 0 | 152 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 103 | 0 | 1 |
| - | 0 | 0 | 152 |
| number | freq |
|---|---|
| 0 | 153 |
| 1 | 100 |
| 2 | 3 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 42.0ms | 512× | 0 | valid |
Compiled 154 to 48 computations (68.8% saved)
ival-mult: 15.0ms (63.7% of total)ival-div: 3.0ms (12.7% of total)ival-sub: 2.0ms (8.5% of total)ival-add: 2.0ms (8.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
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 |
|---|---|---|
| ▶ | 60.6% | (/.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)) |
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 | 0.7734313074906174 | (-.f64 (*.f64 b c) (*.f64 a d)) | |
| accuracy | 24.959090922491313 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 22.0ms | 256× | 0 | valid |
Compiled 92 to 24 computations (73.9% saved)
ival-mult: 7.0ms (66.5% of total)ival-sub: 1.0ms (9.5% of total)ival-div: 1.0ms (9.5% of total)ival-add: 1.0ms (9.5% 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>) () ())) ()) |
#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 (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 | |
|---|---|---|---|---|
| 3.0ms | d | @ | -inf | ((+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (* a d)) |
| 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× | egg-herbie |
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) |
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 |
|---|
#<batchref> |
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Compiled 18 441 to 1 350 computations (92.7% saved)
14 alts after pruning (14 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 632 | 14 | 646 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 633 | 14 | 647 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 61.6% | (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (*.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c))))) |
| ▶ | 60.6% | (/.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
| 33.6% | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| 35.7% | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| 38.5% | (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) (+.f64 (*.f64 c c) (*.f64 d d))) | |
| 60.3% | (*.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c)))) | |
| 40.3% | #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))) | |
| 50.3% | #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)) | |
| 52.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) | |
| ▶ | 51.7% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
| 40.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) | |
| ▶ | 43.9% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
| 41.3% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) | |
| ▶ | 41.8% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
Compiled 384 to 298 computations (22.4% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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 | 128 | (/.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (neg.f64 (fma.f64 d d (*.f64 c c)))) | |
| 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 c c) | |
| cost-diff | 0 | (fma.f64 d d (*.f64 c c)) | |
| cost-diff | 0 | (/.f64 c (fma.f64 d d (*.f64 c c))) | |
| cost-diff | 1408 | (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (*.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c))))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 244 |
| 0 | 57 | 250 |
| 1 | 109 | 236 |
| 2 | 191 | 236 |
| 3 | 331 | 236 |
| 4 | 619 | 236 |
| 5 | 1076 | 236 |
| 6 | 2603 | 236 |
| 7 | 3445 | 236 |
| 8 | 3488 | 236 |
| 9 | 3554 | 236 |
| 10 | 3604 | 236 |
| 11 | 3606 | 236 |
| 12 | 3618 | 236 |
| 13 | 3618 | 236 |
| 0 | 3618 | 236 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (*.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c))))) |
(/.f64 c (fma.f64 d d (*.f64 c c))) |
c |
(fma.f64 d d (*.f64 c c)) |
d |
(*.f64 c c) |
b |
(*.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c)))) |
(neg.f64 d) |
(/.f64 a (fma.f64 d d (*.f64 c c))) |
a |
#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 |
(/.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (neg.f64 (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 |
(neg.f64 (fma.f64 d d (*.f64 c c))) |
(fma.f64 d d (*.f64 c c)) |
(*.f64 c c) |
| Outputs |
|---|
(fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (*.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c))))) |
(/.f64 (fma.f64 a (neg.f64 d) (*.f64 b c)) (fma.f64 d d (*.f64 c c))) |
(/.f64 c (fma.f64 d d (*.f64 c c))) |
c |
(fma.f64 d d (*.f64 c c)) |
d |
(*.f64 c c) |
b |
(*.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c)))) |
(*.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c)))) |
(neg.f64 d) |
(/.f64 a (fma.f64 d d (*.f64 c c))) |
a |
#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 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))) |
(*.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c)))) |
(neg.f64 a) |
a |
(/.f64 d (fma.f64 c c (*.f64 d d))) |
(/.f64 d (fma.f64 d d (*.f64 c c))) |
d |
(fma.f64 c c (*.f64 d d)) |
(fma.f64 d d (*.f64 c 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)) |
b |
(/.f64 (*.f64 a d) c) |
(*.f64 a d) |
a |
d |
c |
(/.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
(/.f64 (fma.f64 a (neg.f64 d) (*.f64 b c)) (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 |
(neg.f64 (fma.f64 d d (*.f64 c c))) |
(fma.f64 d d (*.f64 c c)) |
(*.f64 c c) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (neg.f64 b) | |
| accuracy | 0.00390625 | (fma.f64 d d (*.f64 c c)) | |
| accuracy | 0.7656167428166806 | (fma.f64 (neg.f64 b) c (*.f64 a d)) | |
| accuracy | 24.959090922491313 | (/.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (neg.f64 (fma.f64 d d (*.f64 c c)))) | |
| accuracy | 0.00390625 | (-.f64 b (/.f64 (*.f64 a d) c)) | |
| accuracy | 0.03125 | (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) | |
| accuracy | 5.214767016133179 | (/.f64 (*.f64 a d) c) | |
| accuracy | 29.675730456872483 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) | |
| accuracy | 0 | (neg.f64 a) | |
| accuracy | 3.006755108969987 | (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))) | |
| accuracy | 17.081367990481006 | (/.f64 d (fma.f64 c c (*.f64 d d))) | |
| accuracy | 28.199880561149936 | #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 | 35.882879177549896 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) | |
| accuracy | 2.1250270533951463 | (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (*.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c))))) | |
| accuracy | 8.654321562888224 | (/.f64 a (fma.f64 d d (*.f64 c c))) | |
| accuracy | 10.721822696576524 | (*.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c)))) | |
| accuracy | 18.787318561191057 | (/.f64 c (fma.f64 d d (*.f64 c c))) |
| 65.0ms | 256× | 0 | valid |
Compiled 440 to 60 computations (86.4% saved)
ival-mult: 20.0ms (42.8% of total)ival-div: 15.0ms (32.1% of total)ival-add: 4.0ms (8.6% of total)ival-neg: 4.0ms (8.6% of total)ival-sub: 2.0ms (4.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (*.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c))))) (patch (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (*.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c))))) #<representation binary64>) () ()) |
#s(alt (/.f64 c (fma.f64 d d (*.f64 c c))) (patch (/.f64 c (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ()) |
#s(alt (fma.f64 d d (*.f64 c c)) (patch (fma.f64 d d (*.f64 c c)) #<representation binary64>) () ()) |
#s(alt (*.f64 c c) (patch (*.f64 c 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 (/.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (neg.f64 (fma.f64 d d (*.f64 c c)))) (patch (/.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (neg.f64 (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 (*.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c)))) (patch (*.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ()) |
#s(alt (/.f64 a (fma.f64 d d (*.f64 c c))) (patch (/.f64 a (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (*.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c))))) (patch (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (*.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (*.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c))))) (patch (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (*.f64 (neg.f64 d) (/.f64 a (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 (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (*.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c))))) (patch (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (*.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (* c (+ (* -1 (/ (* b c) (pow d 4))) (/ a (pow d 3)))) (/ b (pow d 2))))) (taylor 0 c) (#s(alt (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (*.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c))))) (patch (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (*.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c))))) #<representation binary64>) () ())) ()) |
#s(alt (/ c (pow d 2)) (taylor 0 c) (#s(alt (/.f64 c (fma.f64 d d (*.f64 c c))) (patch (/.f64 c (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2)))) (taylor 0 c) (#s(alt (/.f64 c (fma.f64 d d (*.f64 c c))) (patch (/.f64 c (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ()) |
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#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 d)) (taylor -inf d) (#s(alt (/.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (neg.f64 (fma.f64 d d (*.f64 c c)))) (patch (/.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (neg.f64 (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) (taylor -inf d) (#s(alt (/.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (neg.f64 (fma.f64 d d (*.f64 c c)))) (patch (/.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (neg.f64 (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) (taylor -inf d) (#s(alt (/.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (neg.f64 (fma.f64 d d (*.f64 c c)))) (patch (/.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (neg.f64 (fma.f64 d d (*.f64 c c)))) #<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 (neg.f64 b) c (*.f64 a d)) (neg.f64 (fma.f64 d d (*.f64 c c)))) (patch (/.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (neg.f64 (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor -inf d) (#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 (* -1 (* d (+ (* -1 a) (/ (* b c) d)))) (taylor -inf d) (#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 (* -1 (* d (+ (* -1 a) (/ (* b c) d)))) (taylor -inf d) (#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 (* -1 (* d (+ (* -1 a) (/ (* b c) d)))) (taylor -inf d) (#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 (* 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 (* -1 (/ a d)) (taylor -inf d) (#s(alt (*.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c)))) (patch (*.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (* a (pow c 2)) (pow d 2)))) d)) (taylor -inf d) (#s(alt (*.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c)))) (patch (*.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (+ a (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2))) d)) (taylor -inf d) (#s(alt (*.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c)))) (patch (*.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -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)) (taylor -inf d) (#s(alt (*.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c)))) (patch (*.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (/ a (pow d 2)) (taylor -inf d) (#s(alt (/.f64 a (fma.f64 d d (*.f64 c c))) (patch (/.f64 a (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ a (* -1 (/ (* a (pow c 2)) (pow d 2)))) (pow d 2)) (taylor -inf d) (#s(alt (/.f64 a (fma.f64 d d (*.f64 c c))) (patch (/.f64 a (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ a (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2))) (pow d 2)) (taylor -inf d) (#s(alt (/.f64 a (fma.f64 d d (*.f64 c c))) (patch (/.f64 a (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ a (* -1 (/ (* a (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2)))) (pow d 2)) (taylor -inf d) (#s(alt (/.f64 a (fma.f64 d d (*.f64 c c))) (patch (/.f64 a (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | a | @ | 0 | ((+ (* (/ c (+ (* d d) (* c c))) b) (* (neg d) (/ a (+ (* d d) (* c c))))) (/ c (+ (* d d) (* c c))) (+ (* d d) (* c c)) (* c 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) (/ (+ (* (neg b) c) (* a d)) (neg (+ (* d d) (* c c)))) (+ (* (neg b) c) (* a d)) (neg b) (* a d) (* (neg d) (/ a (+ (* d d) (* c c)))) (/ a (+ (* d d) (* c c)))) |
| 5.0ms | c | @ | 0 | ((+ (* (/ c (+ (* d d) (* c c))) b) (* (neg d) (/ a (+ (* d d) (* c c))))) (/ c (+ (* d d) (* c c))) (+ (* d d) (* c c)) (* c 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) (/ (+ (* (neg b) c) (* a d)) (neg (+ (* d d) (* c c)))) (+ (* (neg b) c) (* a d)) (neg b) (* a d) (* (neg d) (/ a (+ (* d d) (* c c)))) (/ a (+ (* d d) (* c c)))) |
| 5.0ms | c | @ | -inf | ((+ (* (/ c (+ (* d d) (* c c))) b) (* (neg d) (/ a (+ (* d d) (* c c))))) (/ c (+ (* d d) (* c c))) (+ (* d d) (* c c)) (* c 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) (/ (+ (* (neg b) c) (* a d)) (neg (+ (* d d) (* c c)))) (+ (* (neg b) c) (* a d)) (neg b) (* a d) (* (neg d) (/ a (+ (* d d) (* c c)))) (/ a (+ (* d d) (* c c)))) |
| 4.0ms | a | @ | -inf | ((+ (* (/ c (+ (* d d) (* c c))) b) (* (neg d) (/ a (+ (* d d) (* c c))))) (/ c (+ (* d d) (* c c))) (+ (* d d) (* c c)) (* c 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) (/ (+ (* (neg b) c) (* a d)) (neg (+ (* d d) (* c c)))) (+ (* (neg b) c) (* a d)) (neg b) (* a d) (* (neg d) (/ a (+ (* d d) (* c c)))) (/ a (+ (* d d) (* c c)))) |
| 3.0ms | c | @ | inf | ((+ (* (/ c (+ (* d d) (* c c))) b) (* (neg d) (/ a (+ (* d d) (* c c))))) (/ c (+ (* d d) (* c c))) (+ (* d d) (* c c)) (* c 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) (/ (+ (* (neg b) c) (* a d)) (neg (+ (* d d) (* c c)))) (+ (* (neg b) c) (* a d)) (neg b) (* a d) (* (neg d) (/ a (+ (* d d) (* c c)))) (/ a (+ (* d d) (* c c)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 574 | 9228 |
| 1 | 1772 | 8854 |
| 2 | 5206 | 8617 |
| 0 | 8166 | 8216 |
| 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))))) |
(/ 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)) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 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) |
(/ 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 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)) (/ (* 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))))) |
(/ a (pow d 2)) |
(+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2))) |
(+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2))) |
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* a (pow c 2)) (pow d 8))) (* -1 (/ a (pow d 6))))) (/ a (pow d 4)))) (/ a (pow d 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) |
(/ 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)))) |
(pow c 2) |
(pow c 2) |
(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 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) |
(/ 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))) |
(* -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)) |
(/ a (pow c 2)) |
(/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) (pow c 2)) |
(/ (- (+ a (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2))) (pow c 2)) |
(/ (- (+ a (* -1 (/ (* a (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (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)) (* b (pow d 2))) c))) c))) 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)))) |
(pow c 2) |
(pow c 2) |
(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) |
(/ 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) |
(/ 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))))) |
(* -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)) |
(/ a (pow c 2)) |
(/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) (pow c 2)) |
(/ (- (+ a (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2))) (pow c 2)) |
(/ (- (+ a (* -1 (/ (* a (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) (pow c 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)))) |
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(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
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(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
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(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
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(+ (* -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)))) |
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(+ (* -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)) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
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(* a d) |
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(* -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) |
(/ b c) |
(/ b c) |
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(/ (* 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) (+ (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))) |
(* -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) |
(/ 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) (+ (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 (/ (* 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)))) |
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(/ (* 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)))) |
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(/ (* 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)))) |
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(+ (* -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)))) |
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(/ 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) (+ (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) |
(* -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)))) |
(/ a (+ (pow c 2) (pow d 2))) |
(/ a (+ (pow c 2) (pow d 2))) |
(/ a (+ (pow c 2) (pow d 2))) |
(/ 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) (+ (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) |
(* -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)))) |
(* -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)))) |
(/ a (+ (pow c 2) (pow d 2))) |
(/ a (+ (pow c 2) (pow d 2))) |
(/ a (+ (pow c 2) (pow d 2))) |
(/ a (+ (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) (+ (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) |
(* -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 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)))) |
(/ a (+ (pow c 2) (pow d 2))) |
(/ a (+ (pow c 2) (pow d 2))) |
(/ a (+ (pow c 2) (pow d 2))) |
(/ a (+ (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)) |
(/ 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) |
(+ (* -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) |
(/ 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) |
(* -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)))))) |
(/ a (pow c 2)) |
(+ (* -1 (/ (* a (pow d 2)) (pow c 4))) (/ a (pow c 2))) |
(+ (* (pow d 2) (- (/ (* a (pow d 2)) (pow c 6)) (/ a (pow c 4)))) (/ a (pow c 2))) |
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* a (pow d 2)) (pow c 8))) (* -1 (/ a (pow c 6))))) (/ a (pow c 4)))) (/ a (pow c 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))) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d)))) d) |
(/ 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) (+ (/ (* 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 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) (/ (* 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) |
(/ a (pow d 2)) |
(/ (+ a (* -1 (/ (* a (pow c 2)) (pow d 2)))) (pow d 2)) |
(/ (- (+ a (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2))) (pow d 2)) |
(/ (- (+ a (* -1 (/ (* a (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (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)) |
(/ 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) (/ (* 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 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 (/ (* 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)) |
(/ a (pow d 2)) |
(/ (+ a (* -1 (/ (* a (pow c 2)) (pow d 2)))) (pow d 2)) |
(/ (- (+ a (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2))) (pow d 2)) |
(/ (- (+ a (* -1 (/ (* a (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2)))) (pow d 2)) |
| 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))) (/ 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)) |
(/ c (pow d 2)) |
(/.f64 c (*.f64 d d)) |
(* c (+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2)))) |
(+.f64 (/.f64 (neg.f64 (pow.f64 c #s(literal 3 binary64))) (pow.f64 d #s(literal 4 binary64))) (/.f64 c (*.f64 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 c (*.f64 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 c (*.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)) |
(pow c 2) |
(*.f64 c c) |
(pow c 2) |
(*.f64 c c) |
(pow c 2) |
(*.f64 c c) |
(pow c 2) |
(*.f64 c 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) |
(/.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 (*.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)) (/ (* a (pow c 2)) (pow d 3))) |
(/.f64 (*.f64 a (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64))) 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 (pow.f64 c #s(literal 4 binary64)) (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 (*.f64 a (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64))) d)) |
(/ 1 d) |
(/.f64 #s(literal 1 binary64) d) |
(+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d)) |
(/.f64 (fma.f64 (neg.f64 c) (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) 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 (-.f64 (fma.f64 c (/.f64 c (pow.f64 d #s(literal 5 binary64))) (/.f64 (neg.f64 (pow.f64 c #s(literal 4 binary64))) (pow.f64 d #s(literal 7 binary64)))) (/.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 (*.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 (neg.f64 a) c) (/.f64 d 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)) (* b c)) (pow c 2)) |
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) |
(* -1 (/ (* a d) c)) |
(*.f64 (neg.f64 d) (/.f64 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)) |
(/ (- (* b c) (* a d)) c) |
(-.f64 b (/.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) |
(/ (* 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))) (/ 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)) |
(* 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)) (/ (* a (pow c 2)) (pow d 3))) |
(/.f64 (*.f64 a (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64))) 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 (pow.f64 c #s(literal 4 binary64)) (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 (*.f64 a (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64))) d)) |
(/ a (pow d 2)) |
(/.f64 (/.f64 a d) d) |
(+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2))) |
(/.f64 (/.f64 (fma.f64 (*.f64 c (/.f64 c (*.f64 d d))) (neg.f64 a) a) d) d) |
(+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2))) |
(fma.f64 (-.f64 (*.f64 (*.f64 c c) (/.f64 a (pow.f64 d #s(literal 6 binary64)))) (/.f64 a (pow.f64 d #s(literal 4 binary64)))) (*.f64 c c) (/.f64 (/.f64 a d) d)) |
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* a (pow c 2)) (pow d 8))) (* -1 (/ a (pow d 6))))) (/ a (pow d 4)))) (/ a (pow d 2))) |
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(/.f64 (*.f64 a (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64))) d) |
(/ (+ (* -1 a) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2)))) d) |
(/.f64 (fma.f64 a (fma.f64 (neg.f64 c) (/.f64 c (*.f64 d d)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) a) (neg.f64 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) |
(/.f64 (fma.f64 a (fma.f64 (/.f64 c d) (/.f64 c d) (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (neg.f64 (fma.f64 (pow.f64 c #s(literal 4 binary64)) (/.f64 a (pow.f64 d #s(literal 4 binary64))) a))) d) |
(/ 1 d) |
(/.f64 #s(literal 1 binary64) d) |
(/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) d) |
(/.f64 (fma.f64 (neg.f64 c) (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) d) |
(/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (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 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64))) d) |
(/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) 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 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64)))) d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/.f64 (fma.f64 a (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64)) (/.f64 (*.f64 c b) d)) 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 (pow.f64 (/.f64 c d) #s(literal 3 binary64)) (neg.f64 b) (fma.f64 a (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64)) (/.f64 (*.f64 c b) d))) d) |
(* -1 (/ (* a d) (pow c 2))) |
(*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)) |
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(*.f64 (-.f64 (/.f64 (/.f64 b c) d) (/.f64 a (*.f64 c c))) d) |
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(*.f64 (-.f64 (/.f64 (/.f64 b c) d) (/.f64 a (*.f64 c c))) d) |
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(*.f64 (-.f64 (/.f64 (/.f64 b c) d) (/.f64 a (*.f64 c c))) d) |
(* -1 (/ (* a d) c)) |
(*.f64 (neg.f64 d) (/.f64 a c)) |
(* d (- (/ b d) (/ a c))) |
(*.f64 (-.f64 (/.f64 b d) (/.f64 a c)) d) |
(* d (- (/ b d) (/ a c))) |
(*.f64 (-.f64 (/.f64 b d) (/.f64 a c)) d) |
(* d (- (/ b d) (/ 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 d)) |
(/.f64 (neg.f64 a) d) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/.f64 (fma.f64 a (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64)) (/.f64 (*.f64 c b) d)) d) |
(/ (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d)))) d) |
(/.f64 (fma.f64 (pow.f64 (/.f64 c d) #s(literal 3 binary64)) (neg.f64 b) (fma.f64 a (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64)) (/.f64 (*.f64 c b) d))) d) |
(* a d) |
(*.f64 d a) |
(* d (+ a (* -1 (/ (* b c) d)))) |
(*.f64 (fma.f64 (neg.f64 c) (/.f64 b d) a) d) |
(* d (+ a (* -1 (/ (* b c) d)))) |
(*.f64 (fma.f64 (neg.f64 c) (/.f64 b d) a) d) |
(* d (+ a (* -1 (/ (* b c) d)))) |
(*.f64 (fma.f64 (neg.f64 c) (/.f64 b d) a) d) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(/ (+ (* -1 a) (/ (* a (pow c 2)) (pow d 2))) d) |
(/.f64 (*.f64 a (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64))) d) |
(/ (+ (* -1 a) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2)))) d) |
(/.f64 (fma.f64 a (fma.f64 (neg.f64 c) (/.f64 c (*.f64 d d)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) a) (neg.f64 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) |
(/.f64 (fma.f64 a (fma.f64 (/.f64 c d) (/.f64 c d) (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (neg.f64 (fma.f64 (pow.f64 c #s(literal 4 binary64)) (/.f64 a (pow.f64 d #s(literal 4 binary64))) a))) d) |
(/ a (pow d 2)) |
(/.f64 (/.f64 a d) d) |
(/ (+ a (* -1 (/ (* a (pow c 2)) (pow d 2)))) (pow d 2)) |
(/.f64 (/.f64 (fma.f64 (*.f64 c (/.f64 c (*.f64 d d))) (neg.f64 a) a) d) d) |
(/ (- (+ a (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2))) (pow d 2)) |
(/.f64 (fma.f64 a (fma.f64 (neg.f64 c) (/.f64 c (*.f64 d d)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) a) (*.f64 d d)) |
(/ (- (+ a (* -1 (/ (* a (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2)))) (pow d 2)) |
(/.f64 (fma.f64 (neg.f64 (pow.f64 c #s(literal 6 binary64))) (/.f64 a (pow.f64 d #s(literal 6 binary64))) (fma.f64 a (fma.f64 (neg.f64 c) (/.f64 c (*.f64 d d)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) a)) (*.f64 d d)) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (fma.f64 (neg.f64 c) (/.f64 b d) a) (neg.f64 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 (neg.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) b) d))) d)) d)) (neg.f64 d)) |
(/ c (pow d 2)) |
(/.f64 c (*.f64 d d)) |
(/ (+ c (* -1 (/ (pow c 3) (pow d 2)))) (pow d 2)) |
(/.f64 (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) d) |
(/ (- (+ c (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2))) (pow d 2)) |
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 d #s(literal 4 binary64))) c) d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) d) |
(/ (- (+ c (* -1 (/ (pow c 7) (pow d 6)))) (+ (* -1 (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2)))) (pow d 2)) |
(/.f64 (-.f64 (/.f64 (+.f64 (-.f64 c (/.f64 (pow.f64 c #s(literal 7 binary64)) (pow.f64 d #s(literal 6 binary64)))) (/.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 d #s(literal 4 binary64)))) d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) d) |
(pow d 2) |
(*.f64 d d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) d) d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) d) d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) d) d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (fma.f64 (neg.f64 c) (/.f64 b d) a) (neg.f64 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 (neg.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) b) d))) d)) d)) (neg.f64 d)) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (fma.f64 (neg.f64 c) (/.f64 b d) a) (neg.f64 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 (neg.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) b) d))) d)) d)) (neg.f64 d)) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* a (pow c 2)) (pow d 2)))) d)) |
(/.f64 (*.f64 a (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64))) d) |
(* -1 (/ (- (+ a (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2))) d)) |
(/.f64 (fma.f64 a (fma.f64 (neg.f64 c) (/.f64 c (*.f64 d d)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) 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 (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) a (neg.f64 (fma.f64 a (fma.f64 (neg.f64 c) (/.f64 c (*.f64 d d)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) a))) d) |
(/ 1 d) |
(/.f64 #s(literal 1 binary64) d) |
(* -1 (/ (- (/ (pow c 2) (pow d 2)) 1) d)) |
(/.f64 (fma.f64 (neg.f64 c) (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) 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 c (/.f64 c (*.f64 d 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 c (/.f64 c (*.f64 d 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 c) (/.f64 b d) a) (neg.f64 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 (neg.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) b) d))) d)) d)) (neg.f64 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 c) d) (/.f64 a (*.f64 c c))) d) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(*.f64 (-.f64 (/.f64 (/.f64 b c) d) (/.f64 a (*.f64 c c))) d) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(*.f64 (-.f64 (/.f64 (/.f64 b c) d) (/.f64 a (*.f64 c c))) d) |
(* -1 (/ (* a d) c)) |
(*.f64 (neg.f64 d) (/.f64 a 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 d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (fma.f64 (neg.f64 c) (/.f64 b d) a) (neg.f64 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 (/ (+ (* -1 (* a (pow c 2))) (/ (* b (pow c 3)) d)) d)) (* b c)) d))) d)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 c b (/.f64 (fma.f64 (*.f64 c c) a (neg.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) b) d))) d)) d)) (neg.f64 d)) |
(* a d) |
(*.f64 d a) |
(* -1 (* d (+ (* -1 a) (/ (* b c) d)))) |
(*.f64 (fma.f64 (neg.f64 c) (/.f64 b d) a) d) |
(* -1 (* d (+ (* -1 a) (/ (* b c) d)))) |
(*.f64 (fma.f64 (neg.f64 c) (/.f64 b d) a) d) |
(* -1 (* d (+ (* -1 a) (/ (* b c) d)))) |
(*.f64 (fma.f64 (neg.f64 c) (/.f64 b d) a) d) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* a (pow c 2)) (pow d 2)))) d)) |
(/.f64 (*.f64 a (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64))) d) |
(* -1 (/ (- (+ a (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2))) d)) |
(/.f64 (fma.f64 a (fma.f64 (neg.f64 c) (/.f64 c (*.f64 d d)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) 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 (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) a (neg.f64 (fma.f64 a (fma.f64 (neg.f64 c) (/.f64 c (*.f64 d d)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) a))) d) |
(/ a (pow d 2)) |
(/.f64 (/.f64 a d) d) |
(/ (+ a (* -1 (/ (* a (pow c 2)) (pow d 2)))) (pow d 2)) |
(/.f64 (/.f64 (fma.f64 (*.f64 c (/.f64 c (*.f64 d d))) (neg.f64 a) a) d) d) |
(/ (- (+ a (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2))) (pow d 2)) |
(/.f64 (fma.f64 a (fma.f64 (neg.f64 c) (/.f64 c (*.f64 d d)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) a) (*.f64 d d)) |
(/ (- (+ a (* -1 (/ (* a (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2)))) (pow d 2)) |
(/.f64 (fma.f64 (neg.f64 (pow.f64 c #s(literal 6 binary64))) (/.f64 a (pow.f64 d #s(literal 6 binary64))) (fma.f64 a (fma.f64 (neg.f64 c) (/.f64 c (*.f64 d d)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) a)) (*.f64 d d)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 197 |
| 0 | 57 | 197 |
| 1 | 228 | 190 |
| 2 | 1804 | 190 |
| 0 | 8885 | 190 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (*.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c))))) |
(/.f64 c (fma.f64 d d (*.f64 c 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) |
#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) |
(/.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
(fma.f64 (neg.f64 b) c (*.f64 a d)) |
(neg.f64 b) |
(*.f64 a d) |
(*.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c)))) |
(/.f64 a (fma.f64 d d (*.f64 c c))) |
| Outputs |
|---|
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
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Compiled 45 048 to 3 823 computations (91.5% saved)
19 alts after pruning (17 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 877 | 12 | 1 889 |
| Fresh | 4 | 5 | 9 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 884 | 19 | 1 903 |
| Status | Accuracy | Program |
|---|---|---|
| 35.9% | (fma.f64 #s(approx (/ c (+ (* d d) (* c c))) (/.f64 (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) d)) b (*.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c))))) | |
| 33.7% | (/.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d)))) | |
| 33.6% | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| 35.7% | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| ▶ | 38.5% | (/.f64 #s(approx (+ (* (neg b) c) (* a d)) (*.f64 d a)) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
| ▶ | 60.3% | (*.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c)))) |
| 54.4% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 c) (/.f64 b d) a) (neg.f64 d))) | |
| ▶ | 53.6% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c)) |
| 52.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) | |
| ▶ | 40.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
| 24.1% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 d) (/.f64 a c))) c)) | |
| ✓ | 43.9% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
| 43.4% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) | |
| 43.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b)) | |
| ▶ | 41.3% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) |
| ✓ | 41.8% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
| 21.6% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 d (*.f64 c c))))) | |
| 39.9% | #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)))) | |
| 24.2% | #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)))) |
Compiled 400 to 356 computations (11% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 a) | |
| cost-diff | 0 | (fma.f64 (neg.f64 a) (/.f64 d c) b) | |
| cost-diff | 0 | (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c)) | |
| cost-diff | 0 | (neg.f64 (fma.f64 d d (*.f64 c c))) | |
| cost-diff | 0 | (*.f64 d a) | |
| cost-diff | 0 | #s(approx (+ (* (neg b) c) (* a d)) (*.f64 d a)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* (neg b) c) (* a d)) (*.f64 d a)) (neg.f64 (fma.f64 d d (*.f64 c c)))) | |
| 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 | (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)))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 233 |
| 0 | 58 | 233 |
| 1 | 99 | 233 |
| 2 | 175 | 232 |
| 3 | 328 | 231 |
| 4 | 617 | 231 |
| 5 | 1013 | 231 |
| 6 | 2059 | 231 |
| 7 | 3318 | 231 |
| 8 | 3891 | 231 |
| 9 | 4040 | 231 |
| 10 | 4144 | 231 |
| 11 | 4204 | 231 |
| 12 | 4290 | 231 |
| 13 | 4306 | 231 |
| 14 | 4306 | 231 |
| 0 | 4306 | 231 |
| 1× | iter limit |
| 1× | saturated |
| 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 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 #s(approx (+ (* (neg b) c) (* a d)) (*.f64 d a)) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
#s(approx (+ (* (neg b) c) (* a d)) (*.f64 d a)) |
(*.f64 d a) |
d |
a |
(neg.f64 (fma.f64 d d (*.f64 c c))) |
(fma.f64 d d (*.f64 c c)) |
(*.f64 c c) |
c |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c)) |
(/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c) |
(fma.f64 (neg.f64 a) (/.f64 d c) b) |
(neg.f64 a) |
a |
(/.f64 d c) |
d |
c |
b |
| 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 (neg.f64 c) 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 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 #s(approx (+ (* (neg b) c) (* a d)) (*.f64 d a)) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
#s(approx (+ (* (neg b) c) (* a d)) (*.f64 d a)) |
(*.f64 d a) |
d |
a |
(neg.f64 (fma.f64 d d (*.f64 c c))) |
(fma.f64 d d (*.f64 c c)) |
(*.f64 c c) |
c |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c)) |
(/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c) |
(fma.f64 (neg.f64 a) (/.f64 d c) b) |
(neg.f64 a) |
a |
(/.f64 d c) |
d |
c |
b |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (neg.f64 a) | |
| accuracy | 0.03125 | (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c) | |
| accuracy | 2.391033657606614 | (fma.f64 (neg.f64 a) (/.f64 d c) b) | |
| accuracy | 29.675730456872483 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c)) | |
| accuracy | 0 | (neg.f64 (fma.f64 d d (*.f64 c c))) | |
| accuracy | 0.00390625 | (fma.f64 d d (*.f64 c c)) | |
| accuracy | 24.959090922491313 | (/.f64 #s(approx (+ (* (neg b) c) (* a d)) (*.f64 d a)) (neg.f64 (fma.f64 d d (*.f64 c c)))) | |
| accuracy | 32.44899892320466 | #s(approx (+ (* (neg b) c) (* a d)) (*.f64 d a)) | |
| accuracy | 0 | (*.f64 d d) | |
| accuracy | 7.946093375087505 | (/.f64 b (fma.f64 c c (*.f64 d d))) | |
| accuracy | 10.890034402796456 | (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c) | |
| accuracy | 24.60949458492028 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) | |
| accuracy | 0 | (/.f64 (neg.f64 a) d) | |
| accuracy | 0 | (neg.f64 a) | |
| accuracy | 38.37305040980954 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) | |
| accuracy | 0.00390625 | (fma.f64 d d (*.f64 c c)) | |
| accuracy | 0.7656167428166806 | (fma.f64 (neg.f64 b) c (*.f64 a d)) | |
| accuracy | 0.8976564931812921 | (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) | |
| accuracy | 24.45337521605029 | (*.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c)))) |
| 68.0ms | 256× | 0 | valid |
Compiled 396 to 59 computations (85.1% saved)
ival-mult: 18.0ms (35.4% of total)ival-div: 17.0ms (33.4% of total)ival-add: 9.0ms (17.7% of total)ival-neg: 6.0ms (11.8% of total)ival-sub: 1.0ms (2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.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 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 #s(approx (+ (* (neg b) c) (* a d)) (*.f64 d a)) (neg.f64 (fma.f64 d d (*.f64 c c)))) (patch (/.f64 #s(approx (+ (* (neg b) c) (* a d)) (*.f64 d a)) (neg.f64 (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (neg b) c) (* a d)) (*.f64 d a)) (patch #s(approx (+ (* (neg b) c) (* a d)) (*.f64 d a)) #<representation binary64>) () ()) |
#s(alt (*.f64 d a) (patch (*.f64 d a) #<representation binary64>) () ()) |
#s(alt (neg.f64 (fma.f64 d d (*.f64 c c))) (patch (neg.f64 (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c) (patch (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 a) (/.f64 d c) b) (patch (fma.f64 (neg.f64 a) (/.f64 d c) b) #<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 (fma.f64 d d (*.f64 c c)) (patch (fma.f64 d d (*.f64 c c)) #<representation binary64>) () ()) |
#s(alt (*.f64 d d) (patch (*.f64 d d) #<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>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (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>) () ())) ()) |
#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 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 (+ (* -1 (/ a d)) (* c (+ (* c (+ (* -1 (/ (* b c) (pow d 4))) (/ a (pow d 3)))) (/ b (pow d 2))))) (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>) () ())) ()) |
#s(alt (* a d) (taylor 0 c) (#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 (+ (* -1 (* b c)) (* a d)) (taylor 0 c) (#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 (+ (* -1 (* b c)) (* a d)) (taylor 0 c) (#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 (+ (* -1 (* b c)) (* a d)) (taylor 0 c) (#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 (* -1 (/ a d)) (taylor 0 c) (#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 (+ (* -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) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (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 (neg.f64 a) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (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 (neg.f64 a) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) 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 (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>) () ())) ()) |
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#s(alt (* -1 (/ a d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 d 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 (fma.f64 (neg.f64 a) (/.f64 d c) b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 d 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 (fma.f64 (neg.f64 a) (/.f64 d c) b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 d 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 (fma.f64 (neg.f64 a) (/.f64 d c) b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) (pow c 2))) (taylor -inf d) (#s(alt (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c) (patch (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) (taylor -inf d) (#s(alt (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c) (patch (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) (taylor -inf d) (#s(alt (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c) (patch (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) (taylor -inf d) (#s(alt (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c) (patch (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) c)) (taylor -inf d) (#s(alt (fma.f64 (neg.f64 a) (/.f64 d c) b) (patch (fma.f64 (neg.f64 a) (/.f64 d c) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (* -1 (/ b d)) (/ a c)))) (taylor -inf d) (#s(alt (fma.f64 (neg.f64 a) (/.f64 d c) b) (patch (fma.f64 (neg.f64 a) (/.f64 d c) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (* -1 (/ b d)) (/ a c)))) (taylor -inf d) (#s(alt (fma.f64 (neg.f64 a) (/.f64 d c) b) (patch (fma.f64 (neg.f64 a) (/.f64 d c) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (* -1 (/ b d)) (/ a c)))) (taylor -inf d) (#s(alt (fma.f64 (neg.f64 a) (/.f64 d c) b) (patch (fma.f64 (neg.f64 a) (/.f64 d c) b) #<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 (pow d 2) (taylor -inf d) (#s(alt (fma.f64 d d (*.f64 c c)) (patch (fma.f64 d d (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt (fma.f64 d d (*.f64 c c)) (patch (fma.f64 d d (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt (fma.f64 d d (*.f64 c c)) (patch (fma.f64 d d (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt (fma.f64 d d (*.f64 c c)) (patch (fma.f64 d d (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (pow d 2) (taylor -inf d) (#s(alt (*.f64 d d) (patch (*.f64 d d) #<representation binary64>) () ())) ()) |
#s(alt (pow d 2) (taylor -inf d) (#s(alt (*.f64 d d) (patch (*.f64 d d) #<representation binary64>) () ())) ()) |
#s(alt (pow d 2) (taylor -inf d) (#s(alt (*.f64 d d) (patch (*.f64 d d) #<representation binary64>) () ())) ()) |
#s(alt (pow d 2) (taylor -inf d) (#s(alt (*.f64 d d) (patch (*.f64 d d) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 178.0ms | b | @ | 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))) (* (/ b (+ (* c c) (* d d))) c) (/ b (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* (neg b) c) (* a d)) (neg (+ (* d d) (* c c)))) (+ (* (neg b) c) (* a d)) (* d a) (neg (+ (* d d) (* c c))) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (+ (* (neg a) (/ d c)) b) c) (+ (* (neg a) (/ d c)) b) (/ -1 (+ (* d d) (* c c))) (+ (* d d) (* c c)) (* d d)) |
| 7.0ms | 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))) (* (/ b (+ (* c c) (* d d))) c) (/ b (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* (neg b) c) (* a d)) (neg (+ (* d d) (* c c)))) (+ (* (neg b) c) (* a d)) (* d a) (neg (+ (* d d) (* c c))) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (+ (* (neg a) (/ d c)) b) c) (+ (* (neg a) (/ d c)) b) (/ -1 (+ (* d d) (* c c))) (+ (* d d) (* c c)) (* d d)) |
| 3.0ms | 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))) (* (/ b (+ (* c c) (* d d))) c) (/ b (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* (neg b) c) (* a d)) (neg (+ (* d d) (* c c)))) (+ (* (neg b) c) (* a d)) (* d a) (neg (+ (* d d) (* c c))) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (+ (* (neg a) (/ d c)) b) c) (+ (* (neg a) (/ d c)) b) (/ -1 (+ (* d d) (* c c))) (+ (* d d) (* c c)) (* d d)) |
| 2.0ms | 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))) (* (/ b (+ (* c c) (* d d))) c) (/ b (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* (neg b) c) (* a d)) (neg (+ (* d d) (* c c)))) (+ (* (neg b) c) (* a d)) (* d a) (neg (+ (* d d) (* c c))) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (+ (* (neg a) (/ d c)) b) c) (+ (* (neg a) (/ d c)) b) (/ -1 (+ (* d d) (* c c))) (+ (* d d) (* c c)) (* d d)) |
| 2.0ms | 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))) (* (/ b (+ (* c c) (* d d))) c) (/ b (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* (neg b) c) (* a d)) (neg (+ (* d d) (* c c)))) (+ (* (neg b) c) (* a d)) (* d a) (neg (+ (* d d) (* c c))) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (+ (* (neg a) (/ d c)) b) c) (+ (* (neg a) (/ d c)) b) (/ -1 (+ (* d d) (* c c))) (+ (* d d) (* c c)) (* d d)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 476 | 8877 |
| 1 | 1479 | 8453 |
| 2 | 4386 | 8301 |
| 0 | 8124 | 7912 |
| 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)))) |
(/ 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))) (/ 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 (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 (/ 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)) |
(/ (+ (* -1 (* a d)) (* b c)) c) |
(/ (+ (* -1 (* a d)) (* b c)) c) |
(/ (+ (* -1 (* a d)) (* b c)) c) |
(/ -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))) |
(pow d 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 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)) (+ (* -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) |
(/ 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)) (+ (* -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))) |
(* -1 (pow c 2)) |
(* (pow c 2) (- (* -1 (/ (pow d 2) (pow c 2))) 1)) |
(* (pow c 2) (- (* -1 (/ (pow d 2) (pow c 2))) 1)) |
(* (pow c 2) (- (* -1 (/ (pow d 2) (pow c 2))) 1)) |
(/ 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))) |
(/ -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)) |
(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)) (* 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)) |
(/ 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)) (* 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))))) |
(* -1 (pow c 2)) |
(* (pow c 2) (- (* -1 (/ (pow d 2) (pow c 2))) 1)) |
(* (pow c 2) (- (* -1 (/ (pow d 2) (pow c 2))) 1)) |
(* (pow c 2) (- (* -1 (/ (pow d 2) (pow c 2))) 1)) |
(/ 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))) |
(/ -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)) |
(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 (/ (* 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))) |
(/ 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)))) |
(* a d) |
(+ (* -1 (* b c)) (* a d)) |
(+ (* -1 (* b c)) (* a d)) |
(+ (* -1 (* b 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) (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 (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* 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))))) |
(* -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 (+ (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))))) |
(* -1 (* b c)) |
(* b (+ (* -1 c) (/ (* a d) b))) |
(* b (+ (* -1 c) (/ (* a d) b))) |
(* b (+ (* -1 c) (/ (* 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) |
(* 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))))))) |
(* -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 (+ (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))))))) |
(* -1 (* b c)) |
(* -1 (* b (+ c (* -1 (/ (* a d) b))))) |
(* -1 (* b (+ c (* -1 (/ (* a d) b))))) |
(* -1 (* b (+ c (* -1 (/ (* 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) |
(* -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)))) |
(* -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)))) |
(* -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)))) |
(/ 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 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)))))) |
(* 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) (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 (+ (* -1 (/ d c)) (/ b a))) |
(* a (+ (* -1 (/ d c)) (/ b a))) |
(* a (+ (* -1 (/ d c)) (/ b 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 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)))))) |
(* 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) (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)) (/ d c)))) |
(* -1 (* a (+ (* -1 (/ b a)) (/ d c)))) |
(* -1 (* a (+ (* -1 (/ b 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)) |
(/ 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 (+ (* -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) |
(* -1 (pow c 2)) |
(- (* -1 (pow d 2)) (pow c 2)) |
(- (* -1 (pow d 2)) (pow c 2)) |
(- (* -1 (pow d 2)) (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))) |
(/ -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))) |
(pow c 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(pow d 2) |
(pow d 2) |
(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))) (+ (/ (* 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)) |
(/ 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))) (+ (/ (* 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 (pow d 2)) |
(* (pow d 2) (- (* -1 (/ (pow c 2) (pow d 2))) 1)) |
(* (pow d 2) (- (* -1 (/ (pow c 2) (pow d 2))) 1)) |
(* (pow d 2) (- (* -1 (/ (pow c 2) (pow d 2))) 1)) |
(* -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 (+ (* -1 (/ a c)) (/ b d))) |
(* d (+ (* -1 (/ a c)) (/ b d))) |
(* d (+ (* -1 (/ a c)) (/ b 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)) |
(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)))) |
(pow d 2) |
(pow d 2) |
(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 (/ (+ (* -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)) |
(/ 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 (/ (+ (* -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 (pow d 2)) |
(* (pow d 2) (- (* -1 (/ (pow c 2) (pow d 2))) 1)) |
(* (pow d 2) (- (* -1 (/ (pow c 2) (pow d 2))) 1)) |
(* (pow d 2) (- (* -1 (/ (pow c 2) (pow d 2))) 1)) |
(* -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)) (/ a c)))) |
(* -1 (* d (+ (* -1 (/ b d)) (/ a c)))) |
(* -1 (* d (+ (* -1 (/ b d)) (/ a c)))) |
(/ -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)) |
(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)))) |
(pow d 2) |
(pow d 2) |
(pow d 2) |
(pow d 2) |
| 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))) (/ 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)) |
(* 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 (-.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)) (* 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 b (*.f64 d d)) c) |
(* c (+ (* -1 (/ (* b (pow c 2)) (pow d 4))) (/ b (pow d 2)))) |
(fma.f64 (/.f64 (/.f64 c d) d) b (*.f64 (/.f64 (neg.f64 b) d) (pow.f64 (/.f64 c d) #s(literal 3 binary64)))) |
(* c (+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 6)) (/ b (pow d 4)))) (/ b (pow d 2)))) |
(fma.f64 (/.f64 (/.f64 c d) d) b (*.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 (/.f64 c d) d) b (*.f64 (pow.f64 c #s(literal 3 binary64)) (-.f64 (*.f64 (-.f64 (/.f64 b (pow.f64 d #s(literal 6 binary64))) (*.f64 (*.f64 c c) (/.f64 b (pow.f64 d #s(literal 8 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))) |
(/.f64 (fma.f64 (*.f64 c (/.f64 c d)) (/.f64 (neg.f64 b) d) 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 (-.f64 (/.f64 b (pow.f64 d #s(literal 6 binary64))) (*.f64 (*.f64 c c) (/.f64 b (pow.f64 d #s(literal 8 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))) (/ 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)) |
(* 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 (pow d 2)) |
(*.f64 (neg.f64 d) d) |
(- (* -1 (pow c 2)) (pow d 2)) |
(neg.f64 (fma.f64 c c (*.f64 d d))) |
(- (* -1 (pow c 2)) (pow d 2)) |
(neg.f64 (fma.f64 c c (*.f64 d d))) |
(- (* -1 (pow c 2)) (pow d 2)) |
(neg.f64 (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) (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 (/.f64 (neg.f64 a) c) d) |
(/ (+ (* -1 (* a d)) (* b c)) c) |
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 c b)) c) |
(/ (+ (* -1 (* a d)) (* b c)) c) |
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 c b)) c) |
(/ (+ (* -1 (* a d)) (* b c)) c) |
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 c b)) c) |
(/ -1 (pow d 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 d d)) |
(- (/ (pow c 2) (pow d 4)) (/ 1 (pow d 2))) |
(fma.f64 c (/.f64 c (pow.f64 d #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 d d))) |
(- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 6))) (/ 1 (pow d 4)))) (/ 1 (pow d 2))) |
(-.f64 (fma.f64 c (/.f64 c (pow.f64 d #s(literal 4 binary64))) (/.f64 (neg.f64 (pow.f64 c #s(literal 4 binary64))) (pow.f64 d #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 d d))) |
(- (* (pow c 2) (+ (* (pow c 2) (- (/ (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 4 binary64)) (fma.f64 c (/.f64 c (pow.f64 d #s(literal 8 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 d #s(literal 6 binary64)))) (fma.f64 c (/.f64 c (pow.f64 d #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (*.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)) |
(/ 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)) (+ (* -1 (/ (* b (pow d 2)) (pow c 2))) (/ (* a (pow d 3)) (pow c 3))))) c) |
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) c) (fma.f64 d a (/.f64 (*.f64 (*.f64 d d) b) c)) (fma.f64 (pow.f64 (/.f64 d c) #s(literal 3 binary64)) a b)) c) |
(* -1 (* b c)) |
(*.f64 (neg.f64 c) b) |
(* c (+ (* -1 b) (/ (* a d) c))) |
(*.f64 (-.f64 (/.f64 (*.f64 d a) c) b) c) |
(* c (+ (* -1 b) (/ (* a d) c))) |
(*.f64 (-.f64 (/.f64 (*.f64 d a) c) b) c) |
(* c (+ (* -1 b) (/ (* a d) c))) |
(*.f64 (-.f64 (/.f64 (*.f64 d a) c) 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 (fma.f64 (/.f64 #s(literal -1 binary64) c) (fma.f64 d a (/.f64 (*.f64 (*.f64 d d) b) c)) (fma.f64 (pow.f64 (/.f64 d c) #s(literal 3 binary64)) a 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) |
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(/ (- (/ (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 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (-.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 d 2) |
(*.f64 d d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) (*.f64 d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) (*.f64 d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) (*.f64 d d)) |
(pow d 2) |
(*.f64 d d) |
(pow d 2) |
(*.f64 d d) |
(pow d 2) |
(*.f64 d d) |
(pow d 2) |
(*.f64 d d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (-.f64 a (/.f64 (*.f64 c b) d)) (neg.f64 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 (/ (+ (* -1 (* a (pow c 2))) (/ (* b (pow c 3)) d)) d)) (* b c)) d))) d)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 c b (/.f64 (fma.f64 (*.f64 c c) a (/.f64 (*.f64 (neg.f64 b) (pow.f64 c #s(literal 3 binary64))) d)) d)) d)) (neg.f64 d)) |
(* a d) |
(*.f64 d a) |
(* -1 (* d (+ (* -1 a) (/ (* b c) d)))) |
(*.f64 (-.f64 a (/.f64 (*.f64 c b) d)) d) |
(* -1 (* d (+ (* -1 a) (/ (* b c) d)))) |
(*.f64 (-.f64 a (/.f64 (*.f64 c b) d)) d) |
(* -1 (* d (+ (* -1 a) (/ (* b c) d)))) |
(*.f64 (-.f64 a (/.f64 (*.f64 c b) d)) d) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (-.f64 a (/.f64 (*.f64 c b) d)) (neg.f64 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 b) (pow.f64 c #s(literal 3 binary64))) d)) d)) d)) (neg.f64 d)) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (-.f64 a (/.f64 (*.f64 c b) d)) (neg.f64 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 b) (pow.f64 c #s(literal 3 binary64))) d)) d)) d)) (neg.f64 d)) |
(/ (* b c) (pow d 2)) |
(*.f64 (/.f64 b (*.f64 d d)) c) |
(/ (+ (* -1 (/ (* b (pow c 3)) (pow d 2))) (* b c)) (pow d 2)) |
(/.f64 (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64)))) d) |
(/ (- (+ (* b c) (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2))) (pow d 2)) |
(/.f64 (*.f64 b (+.f64 (-.f64 (/.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) d) d)) c)) (*.f64 d d)) |
(/ (- (+ (* -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)) |
(/.f64 (fma.f64 b (-.f64 c (/.f64 (pow.f64 c #s(literal 7 binary64)) (pow.f64 d #s(literal 6 binary64)))) (*.f64 b (-.f64 (/.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) d) d)))) (*.f64 d d)) |
(/ b (pow d 2)) |
(/.f64 b (*.f64 d d)) |
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) (pow d 2)) |
(/.f64 (fma.f64 (*.f64 c (/.f64 c d)) (/.f64 (neg.f64 b) d) b) (*.f64 d d)) |
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) (pow d 2)) |
(/.f64 (fma.f64 b (fma.f64 (/.f64 (neg.f64 c) d) (/.f64 c d) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) b) (*.f64 d d)) |
(/ (- (+ 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)) |
(/.f64 (fma.f64 (neg.f64 (pow.f64 c #s(literal 6 binary64))) (/.f64 b (pow.f64 d #s(literal 6 binary64))) (fma.f64 b (fma.f64 (/.f64 (neg.f64 c) d) (/.f64 c d) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) b)) (*.f64 d d)) |
(pow d 2) |
(*.f64 d d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) (*.f64 d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) (*.f64 d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) (*.f64 d d)) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (-.f64 a (/.f64 (*.f64 c b) d)) (neg.f64 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 (/ (+ (* -1 (* a (pow c 2))) (/ (* b (pow c 3)) d)) d)) (* b c)) d))) d)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 c b (/.f64 (fma.f64 (*.f64 c c) a (/.f64 (*.f64 (neg.f64 b) (pow.f64 c #s(literal 3 binary64))) d)) d)) d)) (neg.f64 d)) |
(* a d) |
(*.f64 d a) |
(* -1 (* d (+ (* -1 a) (/ (* b c) d)))) |
(*.f64 (-.f64 a (/.f64 (*.f64 c b) d)) d) |
(* -1 (* d (+ (* -1 a) (/ (* b c) d)))) |
(*.f64 (-.f64 a (/.f64 (*.f64 c b) d)) d) |
(* -1 (* d (+ (* -1 a) (/ (* b c) d)))) |
(*.f64 (-.f64 a (/.f64 (*.f64 c b) d)) d) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* -1 (pow d 2)) |
(*.f64 (neg.f64 d) d) |
(* (pow d 2) (- (* -1 (/ (pow c 2) (pow d 2))) 1)) |
(*.f64 (fma.f64 (/.f64 (neg.f64 c) d) (/.f64 c d) #s(literal -1 binary64)) (*.f64 d d)) |
(* (pow d 2) (- (* -1 (/ (pow c 2) (pow d 2))) 1)) |
(*.f64 (fma.f64 (/.f64 (neg.f64 c) d) (/.f64 c d) #s(literal -1 binary64)) (*.f64 d d)) |
(* (pow d 2) (- (* -1 (/ (pow c 2) (pow d 2))) 1)) |
(*.f64 (fma.f64 (/.f64 (neg.f64 c) d) (/.f64 c d) #s(literal -1 binary64)) (*.f64 d d)) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (-.f64 a (/.f64 (*.f64 c b) d)) (neg.f64 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 b) (pow.f64 c #s(literal 3 binary64))) d)) d)) d)) (neg.f64 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 c) d) (/.f64 a (*.f64 c c))) d) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(*.f64 (-.f64 (/.f64 (/.f64 b c) d) (/.f64 a (*.f64 c c))) d) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(*.f64 (-.f64 (/.f64 (/.f64 b c) d) (/.f64 a (*.f64 c c))) d) |
(* -1 (/ (* a d) c)) |
(*.f64 (/.f64 (neg.f64 a) c) d) |
(* -1 (* d (+ (* -1 (/ b d)) (/ a c)))) |
(*.f64 (-.f64 (/.f64 b d) (/.f64 a c)) d) |
(* -1 (* d (+ (* -1 (/ b d)) (/ a c)))) |
(*.f64 (-.f64 (/.f64 b d) (/.f64 a c)) d) |
(* -1 (* d (+ (* -1 (/ b d)) (/ a c)))) |
(*.f64 (-.f64 (/.f64 b d) (/.f64 a c)) 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 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (-.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 d 2) |
(*.f64 d d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) (*.f64 d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) (*.f64 d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) (*.f64 d d)) |
(pow d 2) |
(*.f64 d d) |
(pow d 2) |
(*.f64 d d) |
(pow d 2) |
(*.f64 d d) |
(pow d 2) |
(*.f64 d d) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 199 |
| 0 | 58 | 199 |
| 1 | 204 | 198 |
| 2 | 1460 | 197 |
| 0 | 8425 | 197 |
| 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 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 #s(approx (+ (* (neg b) c) (* a d)) (*.f64 d a)) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
#s(approx (+ (* (neg b) c) (* a d)) (*.f64 d a)) |
(*.f64 d a) |
(neg.f64 (fma.f64 d d (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c)) |
(/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c) |
(fma.f64 (neg.f64 a) (/.f64 d c) b) |
(/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) |
(fma.f64 d d (*.f64 c c)) |
(*.f64 d d) |
| Outputs |
|---|
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Compiled 44 341 to 3 486 computations (92.1% saved)
24 alts after pruning (19 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 899 | 10 | 1 909 |
| Fresh | 3 | 9 | 12 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 904 | 24 | 1 928 |
| Status | Accuracy | Program |
|---|---|---|
| 33.7% | (/.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d)))) | |
| ▶ | 33.6% | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
| 35.7% | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| ✓ | 38.5% | (/.f64 #s(approx (+ (* (neg b) c) (* a d)) (*.f64 d a)) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
| 25.2% | (/.f64 #s(approx (+ (* (neg b) c) (* a d)) (*.f64 d a)) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d)))) | |
| 22.1% | (/.f64 #s(approx (+ (* (neg b) c) (* a d)) (*.f64 d a)) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c)))) | |
| 33.6% | (*.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (/.f64 #s(literal -1 binary64) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))) | |
| ▶ | 54.4% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 c) (/.f64 b d) a) (neg.f64 d))) |
| ✓ | 53.6% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c)) |
| 52.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) | |
| ▶ | 41.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) |
| ✓ | 40.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
| 24.1% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 d) (/.f64 a c))) c)) | |
| ✓ | 43.9% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
| 40.2% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 d a))) | |
| 43.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b)) | |
| 21.2% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c)) | |
| 30.6% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) | |
| ✓ | 41.8% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
| ▶ | 21.6% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 d (*.f64 c c))))) |
| ▶ | 39.9% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 #s(literal -1 binary64) d))) |
| 24.2% | #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)))) | |
| 17.7% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (* (/ b (+ (* c c) (* d d))) c) (fma.f64 (/.f64 (/.f64 c d) d) b (*.f64 (/.f64 (neg.f64 b) d) (pow.f64 (/.f64 c d) #s(literal 3 binary64)))))) | |
| 20.9% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (* (/ b (+ (* c c) (* d d))) c) (/.f64 (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64)))) d))) |
Compiled 459 to 422 computations (8.1% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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 d d (*.f64 c c)) | |
| cost-diff | 0 | (*.f64 c b) | |
| cost-diff | 0 | (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) | |
| cost-diff | 0 | #s(approx (/ d (+ (* c c) (* d d))) (/.f64 d (*.f64 c c))) | |
| cost-diff | 0 | (neg.f64 a) | |
| cost-diff | 0 | (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 d (*.f64 c c)))) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 d (*.f64 c c))))) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) d) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 #s(literal -1 binary64) d))) | |
| cost-diff | 192 | (*.f64 a (/.f64 #s(literal -1 binary64) d)) | |
| cost-diff | 0 | (neg.f64 c) | |
| cost-diff | 0 | (fma.f64 (neg.f64 c) (/.f64 b d) a) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 c) (/.f64 b d) a) (neg.f64 d))) | |
| cost-diff | 128 | (/.f64 (fma.f64 (neg.f64 c) (/.f64 b d) a) (neg.f64 d)) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 267 |
| 0 | 56 | 258 |
| 1 | 95 | 256 |
| 2 | 154 | 256 |
| 3 | 277 | 254 |
| 4 | 513 | 254 |
| 5 | 1154 | 254 |
| 6 | 3282 | 254 |
| 7 | 4768 | 254 |
| 8 | 5235 | 254 |
| 9 | 5305 | 254 |
| 10 | 5322 | 254 |
| 11 | 5338 | 254 |
| 12 | 5363 | 254 |
| 13 | 5371 | 254 |
| 14 | 5463 | 254 |
| 15 | 5503 | 254 |
| 16 | 5503 | 254 |
| 17 | 5515 | 254 |
| 18 | 5565 | 254 |
| 0 | 5565 | 254 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 c) (/.f64 b d) a) (neg.f64 d))) |
(/.f64 (fma.f64 (neg.f64 c) (/.f64 b d) a) (neg.f64 d)) |
(fma.f64 (neg.f64 c) (/.f64 b d) a) |
(neg.f64 c) |
c |
(/.f64 b d) |
b |
d |
a |
(neg.f64 d) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 #s(literal -1 binary64) d))) |
(*.f64 a (/.f64 #s(literal -1 binary64) d)) |
a |
(/.f64 #s(literal -1 binary64) d) |
#s(literal -1 binary64) |
d |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 d (*.f64 c c))))) |
(*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 d (*.f64 c c)))) |
(neg.f64 a) |
a |
#s(approx (/ d (+ (* c c) (* d d))) (/.f64 d (*.f64 c c))) |
(/.f64 d (*.f64 c c)) |
d |
(*.f64 c c) |
c |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) |
(/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) |
(*.f64 c b) |
c |
b |
(fma.f64 d d (*.f64 c c)) |
d |
(*.f64 c c) |
(/.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) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 c) (/.f64 b d) a) (neg.f64 d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) |
(/.f64 (fma.f64 (neg.f64 c) (/.f64 b d) a) (neg.f64 d)) |
(/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) |
(fma.f64 (neg.f64 c) (/.f64 b d) a) |
(fma.f64 (/.f64 b d) (neg.f64 c) a) |
(neg.f64 c) |
c |
(/.f64 b d) |
b |
d |
a |
(neg.f64 d) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 #s(literal -1 binary64) d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d))) |
(*.f64 a (/.f64 #s(literal -1 binary64) d)) |
(/.f64 a (neg.f64 d)) |
a |
(/.f64 #s(literal -1 binary64) d) |
#s(literal -1 binary64) |
d |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 d (*.f64 c c))))) |
(*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 d (*.f64 c c)))) |
(neg.f64 a) |
a |
#s(approx (/ d (+ (* c c) (* d d))) (/.f64 d (*.f64 c c))) |
(/.f64 d (*.f64 c c)) |
d |
(*.f64 c c) |
c |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 b c) (fma.f64 d d (*.f64 c c)))) |
(/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) |
(/.f64 (*.f64 b c) (fma.f64 d d (*.f64 c c))) |
(*.f64 c b) |
(*.f64 b c) |
c |
b |
(fma.f64 d d (*.f64 c c)) |
d |
(*.f64 c c) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(-.f64 (*.f64 b c) (*.f64 a d)) |
(fma.f64 (neg.f64 d) a (*.f64 b c)) |
(*.f64 b c) |
b |
c |
(*.f64 a d) |
a |
d |
#s(approx (+ (* c c) (* d d)) (*.f64 d d)) |
(*.f64 d d) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 a d) | |
| accuracy | 0.7734313074906174 | (-.f64 (*.f64 b c) (*.f64 a d)) | |
| accuracy | 24.959090922491313 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| accuracy | 27.24514287128656 | #s(approx (+ (* c c) (* d d)) (*.f64 d d)) | |
| accuracy | 0 | (*.f64 c b) | |
| accuracy | 0.00390625 | (fma.f64 d d (*.f64 c c)) | |
| accuracy | 19.787303379459907 | (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) | |
| accuracy | 24.60949458492028 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) | |
| accuracy | 3.006755108969987 | (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 d (*.f64 c c)))) | |
| accuracy | 5.642751913115114 | (/.f64 d (*.f64 c c)) | |
| accuracy | 28.199880561149936 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 d (*.f64 c c))))) | |
| accuracy | 31.29936803592841 | #s(approx (/ d (+ (* c c) (* d d))) (/.f64 d (*.f64 c c))) | |
| accuracy | 0 | (/.f64 #s(literal -1 binary64) d) | |
| accuracy | 0.2734375 | (*.f64 a (/.f64 #s(literal -1 binary64) d)) | |
| accuracy | 38.37305040980954 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 #s(literal -1 binary64) d))) | |
| accuracy | 0 | (neg.f64 c) | |
| accuracy | 0.5370444109947553 | (/.f64 (fma.f64 (neg.f64 c) (/.f64 b d) a) (neg.f64 d)) | |
| accuracy | 3.3904900334139816 | (fma.f64 (neg.f64 c) (/.f64 b d) a) | |
| accuracy | 28.787353476425356 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 c) (/.f64 b d) a) (neg.f64 d))) |
| 62.0ms | 256× | 0 | valid |
Compiled 372 to 59 computations (84.1% saved)
ival-div: 16.0ms (43.9% of total)ival-mult: 12.0ms (33% of total)ival-add: 3.0ms (8.2% of total)ival-neg: 3.0ms (8.2% of total)ival-sub: 1.0ms (2.7% 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 c) (/.f64 b d) a) (neg.f64 d)) (patch (/.f64 (fma.f64 (neg.f64 c) (/.f64 b d) a) (neg.f64 d)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 c) (/.f64 b d) a) (neg.f64 d))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 c) (/.f64 b d) a) (neg.f64 d))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 c) (/.f64 b d) a) (patch (fma.f64 (neg.f64 c) (/.f64 b d) a) #<representation binary64>) () ()) |
#s(alt (neg.f64 c) (patch (neg.f64 c) #<representation binary64>) () ()) |
#s(alt (*.f64 a (/.f64 #s(literal -1 binary64) d)) (patch (*.f64 a (/.f64 #s(literal -1 binary64) d)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 #s(literal -1 binary64) d))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 #s(literal -1 binary64) d))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) d) (patch (/.f64 #s(literal -1 binary64) d) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 d (*.f64 c c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 d (*.f64 c c))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 d (*.f64 c c)))) (patch (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 d (*.f64 c c)))) #<representation binary64>) () ()) |
#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ()) |
#s(alt #s(approx (/ d (+ (* c c) (* d d))) (/.f64 d (*.f64 c c))) (patch #s(approx (/ d (+ (* c c) (* d d))) (/.f64 d (*.f64 c c))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (patch (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ()) |
#s(alt (*.f64 c b) (patch (*.f64 c b) #<representation binary64>) () ()) |
#s(alt (fma.f64 d d (*.f64 c c)) (patch (fma.f64 d d (*.f64 c c)) #<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 d (*.f64 c c)) (patch (/.f64 d (*.f64 c c)) #<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>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (neg.f64 c) (/.f64 b d) a) (neg.f64 d)) (patch (/.f64 (fma.f64 (neg.f64 c) (/.f64 b d) a) (neg.f64 d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (neg.f64 c) (/.f64 b d) a) (neg.f64 d)) (patch (/.f64 (fma.f64 (neg.f64 c) (/.f64 b d) a) (neg.f64 d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (neg.f64 c) (/.f64 b d) a) (neg.f64 d)) (patch (/.f64 (fma.f64 (neg.f64 c) (/.f64 b d) a) (neg.f64 d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (neg.f64 c) (/.f64 b d) a) (neg.f64 d)) (patch (/.f64 (fma.f64 (neg.f64 c) (/.f64 b d) a) (neg.f64 d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 c) (/.f64 b d) a) (neg.f64 d))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 c) (/.f64 b d) a) (neg.f64 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 (neg.f64 c) (/.f64 b d) a) (neg.f64 d))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 c) (/.f64 b d) a) (neg.f64 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 (neg.f64 c) (/.f64 b d) a) (neg.f64 d))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 c) (/.f64 b d) a) (neg.f64 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 (neg.f64 c) (/.f64 b d) a) (neg.f64 d))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 c) (/.f64 b d) a) (neg.f64 d))) #<representation binary64>) () ())) ()) |
#s(alt a (taylor 0 c) (#s(alt (fma.f64 (neg.f64 c) (/.f64 b d) a) (patch (fma.f64 (neg.f64 c) (/.f64 b d) a) #<representation binary64>) () ())) ()) |
#s(alt (+ a (* -1 (/ (* b c) d))) (taylor 0 c) (#s(alt (fma.f64 (neg.f64 c) (/.f64 b d) a) (patch (fma.f64 (neg.f64 c) (/.f64 b d) a) #<representation binary64>) () ())) ()) |
#s(alt (+ a (* -1 (/ (* b c) d))) (taylor 0 c) (#s(alt (fma.f64 (neg.f64 c) (/.f64 b d) a) (patch (fma.f64 (neg.f64 c) (/.f64 b d) a) #<representation binary64>) () ())) ()) |
#s(alt (+ a (* -1 (/ (* b c) d))) (taylor 0 c) (#s(alt (fma.f64 (neg.f64 c) (/.f64 b d) a) (patch (fma.f64 (neg.f64 c) (/.f64 b d) a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 c) (taylor 0 c) (#s(alt (neg.f64 c) (patch (neg.f64 c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 c) (taylor 0 c) (#s(alt (neg.f64 c) (patch (neg.f64 c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 c) (taylor 0 c) (#s(alt (neg.f64 c) (patch (neg.f64 c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 c) (taylor 0 c) (#s(alt (neg.f64 c) (patch (neg.f64 c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 #s(literal -1 binary64) d))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 #s(literal -1 binary64) 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 a (/.f64 #s(literal -1 binary64) d))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 #s(literal -1 binary64) 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 a (/.f64 #s(literal -1 binary64) d))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 #s(literal -1 binary64) 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 a (/.f64 #s(literal -1 binary64) d))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 #s(literal -1 binary64) d))) #<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) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 d (*.f64 c c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 d (*.f64 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 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 d (*.f64 c c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 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 #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 d (*.f64 c c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 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 #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 d (*.f64 c c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 d (*.f64 c c))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 d (*.f64 c c)))) (patch (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 d (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* a (pow c 2)) (pow d 3))) (taylor 0 c) (#s(alt (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 d (*.f64 c c)))) (patch (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 d (*.f64 c c)))) #<representation binary64>) () ())) ()) |
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#s(alt (pow d 2) (taylor -inf d) (#s(alt (fma.f64 d d (*.f64 c c)) (patch (fma.f64 d d (*.f64 c c)) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt (fma.f64 d d (*.f64 c c)) (patch (fma.f64 d d (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt (fma.f64 d d (*.f64 c c)) (patch (fma.f64 d d (*.f64 c c)) #<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 (/ d (pow c 2)) (taylor -inf d) (#s(alt (/.f64 d (*.f64 c c)) (patch (/.f64 d (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (/ d (pow c 2)) (taylor -inf d) (#s(alt (/.f64 d (*.f64 c c)) (patch (/.f64 d (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (/ d (pow c 2)) (taylor -inf d) (#s(alt (/.f64 d (*.f64 c c)) (patch (/.f64 d (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (/ d (pow c 2)) (taylor -inf d) (#s(alt (/.f64 d (*.f64 c c)) (patch (/.f64 d (*.f64 c c)) #<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>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 18.0ms | d | @ | -inf | ((/ (+ (* (neg c) (/ b d)) a) (neg d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (+ (* (neg c) (/ b d)) a) (neg c) (* a (/ -1 d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ -1 d) (/ (- (* 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))) (/ (* c b) (+ (* d d) (* c c))) (* c b) (+ (* d d) (* c c)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (* a d) (/ d (* c c)) (+ (* c c) (* d d))) |
| 4.0ms | c | @ | 0 | ((/ (+ (* (neg c) (/ b d)) a) (neg d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (+ (* (neg c) (/ b d)) a) (neg c) (* a (/ -1 d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ -1 d) (/ (- (* 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))) (/ (* c b) (+ (* d d) (* c c))) (* c b) (+ (* d d) (* c c)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (* a d) (/ d (* c c)) (+ (* c c) (* d d))) |
| 2.0ms | d | @ | inf | ((/ (+ (* (neg c) (/ b d)) a) (neg d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (+ (* (neg c) (/ b d)) a) (neg c) (* a (/ -1 d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ -1 d) (/ (- (* 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))) (/ (* c b) (+ (* d d) (* c c))) (* c b) (+ (* d d) (* c c)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (* a d) (/ d (* c c)) (+ (* c c) (* d d))) |
| 2.0ms | a | @ | -inf | ((/ (+ (* (neg c) (/ b d)) a) (neg d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (+ (* (neg c) (/ b d)) a) (neg c) (* a (/ -1 d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ -1 d) (/ (- (* 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))) (/ (* c b) (+ (* d d) (* c c))) (* c b) (+ (* d d) (* c c)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (* a d) (/ d (* c c)) (+ (* c c) (* d d))) |
| 2.0ms | a | @ | inf | ((/ (+ (* (neg c) (/ b d)) a) (neg d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (+ (* (neg c) (/ b d)) a) (neg c) (* a (/ -1 d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ -1 d) (/ (- (* 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))) (/ (* c b) (+ (* d d) (* c c))) (* c b) (+ (* d d) (* c c)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (* a d) (/ d (* c c)) (+ (* c c) (* d d))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 492 | 8502 |
| 1 | 1540 | 8059 |
| 2 | 4686 | 7944 |
| 0 | 8195 | 7562 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -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 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))))) |
a |
(+ a (* -1 (/ (* b c) d))) |
(+ a (* -1 (/ (* b c) d))) |
(+ a (* -1 (/ (* b c) d))) |
(* -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))))) |
(* -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))))) |
(/ (* 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 c) |
(* b c) |
(* b c) |
(* b c) |
(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) |
(/ d (pow c 2)) |
(/ d (pow c 2)) |
(/ d (pow c 2)) |
(/ d (pow c 2)) |
(pow d 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(/ (* 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) |
(/ (+ 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 c) d)) |
(* c (+ (* -1 (/ b d)) (/ a c))) |
(* c (+ (* -1 (/ b d)) (/ a c))) |
(* c (+ (* -1 (/ b d)) (/ a 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 (/ (* 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 (/ (* 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 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) |
(/ d (pow c 2)) |
(/ d (pow c 2)) |
(/ d (pow c 2)) |
(/ d (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) (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) |
(* -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 c) d)) |
(* -1 (* c (+ (* -1 (/ a c)) (/ b d)))) |
(* -1 (* c (+ (* -1 (/ a c)) (/ b d)))) |
(* -1 (* c (+ (* -1 (/ a c)) (/ b d)))) |
(* -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) (/ (* 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) (/ (* 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 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) |
(/ d (pow c 2)) |
(/ d (pow c 2)) |
(/ d (pow c 2)) |
(/ d (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 (/ 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 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 |
(+ a (* -1 (/ (* b c) d))) |
(+ a (* -1 (/ (* b c) d))) |
(+ a (* -1 (/ (* b c) 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) (+ (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))) |
(* 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 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) (+ (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) d)) |
(* b (+ (* -1 (/ c d)) (/ a b))) |
(* b (+ (* -1 (/ c d)) (/ a b))) |
(* b (+ (* -1 (/ c d)) (/ a 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 (+ (* -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) |
(* 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 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) (+ (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) d)) |
(* -1 (* b (+ (* -1 (/ a b)) (/ c d)))) |
(* -1 (* b (+ (* -1 (/ a b)) (/ c d)))) |
(* -1 (* b (+ (* -1 (/ a b)) (/ c d)))) |
(/ (* 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))) |
(* -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) |
(* 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 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) (+ (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) d)) |
(+ a (* -1 (/ (* b c) d))) |
(+ a (* -1 (/ (* b c) d))) |
(+ a (* -1 (/ (* b c) d))) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ 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)))) |
(/ (* 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) (+ (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)) |
(* 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 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 |
(* a (+ 1 (* -1 (/ (* b c) (* a d))))) |
(* a (+ 1 (* -1 (/ (* b c) (* a d))))) |
(* a (+ 1 (* -1 (/ (* b c) (* a d))))) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ 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) (+ (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) (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)) |
(* -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 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 |
(* -1 (* a (- (/ (* b c) (* a d)) 1))) |
(* -1 (* a (- (/ (* b c) (* a d)) 1))) |
(* -1 (* a (- (/ (* b c) (* a d)) 1))) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ 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 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) (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) |
(/ (* 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) |
(+ (* -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 c) d)) |
(/ (+ (* -1 (* b c)) (* a d)) d) |
(/ (+ (* -1 (* b c)) (* a d)) d) |
(/ (+ (* -1 (* b c)) (* a d)) d) |
(* -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)) |
(/ -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)) |
(* -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 (/ (* 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)) |
(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) |
(/ d (pow c 2)) |
(/ d (pow c 2)) |
(/ d (pow c 2)) |
(/ d (pow c 2)) |
(pow c 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (/ (* b c) d)) 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) |
a |
(+ a (* -1 (/ (* b c) d))) |
(+ a (* -1 (/ (* b c) d))) |
(+ a (* -1 (/ (* b c) 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) |
(/ -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) (/ (* 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) |
(/ (* 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)) |
(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) |
(/ d (pow c 2)) |
(/ d (pow c 2)) |
(/ d (pow c 2)) |
(/ d (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)))) |
(* (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) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (* 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)) |
a |
(+ a (* -1 (/ (* b c) d))) |
(+ a (* -1 (/ (* b c) d))) |
(+ a (* -1 (/ (* b c) 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)) |
(/ -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 (/ (* 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)) |
(/ (* 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)) |
(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) |
(/ d (pow c 2)) |
(/ d (pow c 2)) |
(/ d (pow c 2)) |
(/ d (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)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
| 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)) (/ (* b c) (pow d 2))) |
(/.f64 (fma.f64 (/.f64 c d) b (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)) |
(/.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)) |
a |
(+ a (* -1 (/ (* b c) d))) |
(fma.f64 (/.f64 (neg.f64 c) d) b a) |
(+ a (* -1 (/ (* b c) d))) |
(fma.f64 (/.f64 (neg.f64 c) d) b a) |
(+ a (* -1 (/ (* b c) d))) |
(fma.f64 (/.f64 (neg.f64 c) d) b a) |
(* -1 c) |
(neg.f64 c) |
(* -1 c) |
(neg.f64 c) |
(* -1 c) |
(neg.f64 c) |
(* -1 c) |
(neg.f64 c) |
(* -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)) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(+ (* -1 (/ a d)) (/ (* a (pow c 2)) (pow d 3))) |
(/.f64 (*.f64 a (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64))) 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 (pow.f64 c #s(literal 4 binary64)) (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 (*.f64 a (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64))) d)) |
(/ 1 d) |
(/.f64 #s(literal 1 binary64) d) |
(+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d)) |
(/.f64 (fma.f64 (/.f64 (neg.f64 c) d) (/.f64 c d) #s(literal 1 binary64)) 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 (-.f64 (fma.f64 c (/.f64 c (pow.f64 d #s(literal 5 binary64))) (/.f64 (neg.f64 (pow.f64 c #s(literal 4 binary64))) (pow.f64 d #s(literal 7 binary64)))) (/.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 (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)))) |
(*.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 c d) (/.f64 b 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 c d) (/.f64 b 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 c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(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 (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 d) a) |
(- (* 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) |
(/ d (pow c 2)) |
(/.f64 d (*.f64 c c)) |
(/ d (pow c 2)) |
(/.f64 d (*.f64 c c)) |
(/ d (pow c 2)) |
(/.f64 d (*.f64 c c)) |
(/ d (pow c 2)) |
(/.f64 d (*.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)) |
(/ (* b c) (pow d 2)) |
(*.f64 (/.f64 c (*.f64 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) |
(/.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 (/ (* b c) d)) |
(*.f64 (/.f64 (neg.f64 c) d) b) |
(* c (+ (* -1 (/ b d)) (/ a c))) |
(*.f64 (-.f64 (/.f64 a c) (/.f64 b d)) c) |
(* c (+ (* -1 (/ b d)) (/ a c))) |
(*.f64 (-.f64 (/.f64 a c) (/.f64 b d)) c) |
(* c (+ (* -1 (/ b d)) (/ a c))) |
(*.f64 (-.f64 (/.f64 a c) (/.f64 b d)) c) |
(* -1 c) |
(neg.f64 c) |
(* -1 c) |
(neg.f64 c) |
(* -1 c) |
(neg.f64 c) |
(* -1 c) |
(neg.f64 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 (/ (* 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 (/.f64 a (neg.f64 c)) c) d) |
(/ (+ (* -1 (* a d)) (/ (* a (pow d 3)) (pow c 2))) (pow c 2)) |
(/.f64 (fma.f64 (neg.f64 (/.f64 d c)) a (*.f64 (pow.f64 (/.f64 d c) #s(literal 3 binary64)) a)) c) |
(/ (+ (* -1 (* a d)) (+ (* -1 (/ (* a (pow d 5)) (pow c 4))) (/ (* a (pow d 3)) (pow c 2)))) (pow c 2)) |
(/.f64 (fma.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) c) (/.f64 a c) (neg.f64 (fma.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) (pow.f64 c #s(literal 4 binary64))) a (*.f64 d a)))) (*.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 (fma.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)) (neg.f64 (fma.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) (pow.f64 c #s(literal 4 binary64))) a (*.f64 d a)))) (*.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)) |
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) (pow.f64 c #s(literal 4 binary64))) d) c) (pow.f64 (/.f64 d c) #s(literal 3 binary64))) c) |
(/ (- (+ d (* -1 (/ (pow d 7) (pow c 6)))) (+ (* -1 (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2)))) (pow c 2)) |
(/.f64 (-.f64 (/.f64 (+.f64 (-.f64 d (/.f64 (pow.f64 d #s(literal 7 binary64)) (pow.f64 c #s(literal 6 binary64)))) (/.f64 (pow.f64 d #s(literal 5 binary64)) (pow.f64 c #s(literal 4 binary64)))) c) (pow.f64 (/.f64 d c) #s(literal 3 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) |
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(/.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 (/.f64 c d) b (neg.f64 a)) 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 (*.f64 c c) a (/.f64 (*.f64 (neg.f64 b) (pow.f64 c #s(literal 3 binary64))) d)) d)) d) a) d) |
(/ (* b c) (pow d 2)) |
(*.f64 (/.f64 c (*.f64 d d)) b) |
(/ (+ (* -1 (/ (* b (pow c 3)) (pow d 2))) (* b c)) (pow d 2)) |
(/.f64 (fma.f64 (pow.f64 (/.f64 c d) #s(literal 3 binary64)) (neg.f64 b) (/.f64 (*.f64 c b) d)) d) |
(/ (- (+ (* b c) (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2))) (pow d 2)) |
(/.f64 (-.f64 (/.f64 (*.f64 b (+.f64 (/.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 d #s(literal 4 binary64))) c)) d) (*.f64 (pow.f64 (/.f64 c d) #s(literal 3 binary64)) b)) d) |
(/ (- (+ (* -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)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 (/.f64 (pow.f64 c #s(literal 7 binary64)) (pow.f64 d #s(literal 6 binary64)))) b (*.f64 b (+.f64 (/.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 d #s(literal 4 binary64))) c))) d) (*.f64 (pow.f64 (/.f64 c d) #s(literal 3 binary64)) b)) d) |
(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) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.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 (/.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 (*.f64 c c) a (/.f64 (*.f64 (neg.f64 b) (pow.f64 c #s(literal 3 binary64))) d)) d)) d) a) d) |
(* -1 (* a d)) |
(*.f64 (neg.f64 d) a) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(*.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(*.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(*.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(/ d (pow c 2)) |
(/.f64 d (*.f64 c c)) |
(/ d (pow c 2)) |
(/.f64 d (*.f64 c c)) |
(/ d (pow c 2)) |
(/.f64 d (*.f64 c c)) |
(/ d (pow c 2)) |
(/.f64 d (*.f64 c c)) |
(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) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 236 |
| 0 | 56 | 227 |
| 1 | 196 | 225 |
| 2 | 1326 | 223 |
| 0 | 8339 | 223 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 (neg.f64 c) (/.f64 b d) a) (neg.f64 d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 c) (/.f64 b d) a) (neg.f64 d))) |
(fma.f64 (neg.f64 c) (/.f64 b d) a) |
(neg.f64 c) |
(*.f64 a (/.f64 #s(literal -1 binary64) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 #s(literal -1 binary64) d))) |
(/.f64 #s(literal -1 binary64) d) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 d (*.f64 c c))))) |
(*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 d (*.f64 c c)))) |
(neg.f64 a) |
#s(approx (/ d (+ (* c c) (* d d))) (/.f64 d (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) |
(/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) |
(*.f64 c b) |
(fma.f64 d d (*.f64 c c)) |
(/.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 d (*.f64 c c)) |
#s(approx (+ (* c c) (* d d)) (*.f64 d d)) |
| Outputs |
|---|
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Compiled 22 218 to 2 347 computations (89.4% saved)
29 alts after pruning (21 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 211 | 12 | 1 223 |
| Fresh | 5 | 9 | 14 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1 218 | 29 | 1 247 |
| Status | Accuracy | Program |
|---|---|---|
| 33.6% | (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| 33.7% | (/.f64 (fma.f64 c b (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| 35.7% | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| 25.2% | (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| 20.1% | (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| ✓ | 38.5% | (/.f64 #s(approx (+ (* (neg b) c) (* a d)) (*.f64 d a)) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
| 22.1% | (/.f64 #s(approx (+ (* (neg b) c) (* a d)) (*.f64 d a)) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c)))) | |
| 33.6% | (*.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (/.f64 #s(literal -1 binary64) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))) | |
| 54.3% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) (/.f64 #s(literal -1 binary64) (pow.f64 b #s(literal -1 binary64))) a) (neg.f64 d))) | |
| 54.4% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) | |
| ✓ | 53.6% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c)) |
| 35.8% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 b d) c) #s(literal 2 binary64)) (*.f64 a a)) (neg.f64 d)) (neg.f64 (fma.f64 (/.f64 b d) c a)))) | |
| 54.2% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (/.f64 #s(literal -1 binary64) d) (pow.f64 (fma.f64 (/.f64 b d) (neg.f64 c) a) #s(literal -1 binary64)))) | |
| 52.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) | |
| ✓ | 41.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) |
| ✓ | 40.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
| ✓ | 43.9% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
| 54.4% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 d (fma.f64 (/.f64 b d) c (neg.f64 a))))) | |
| 40.2% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 d a))) | |
| 54.2% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (fma.f64 (/.f64 b d) (neg.f64 c) a) (/.f64 #s(literal -1 binary64) d))) | |
| 21.2% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c)) | |
| 30.6% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) | |
| ✓ | 41.8% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
| 21.5% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 (/.f64 d c) c)))) | |
| ✓ | 21.6% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 d (*.f64 c c))))) |
| ✓ | 39.9% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 #s(literal -1 binary64) d))) |
| 24.2% | #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)))) | |
| 20.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (neg c) (/ b d)) a) (neg d)) (*.f64 (/.f64 c (*.f64 d d)) b))) | |
| 20.9% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (* (/ b (+ (* c c) (* d d))) c) (/.f64 (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64)))) d))) |
Compiled 911 to 478 computations (47.5% 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 a (/.f64 #s(literal -1 binary64) d))) |
#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))) #s(approx (/ (+ (* (neg c) (/ b d)) a) (neg d)) (*.f64 (/.f64 c (*.f64 d d)) b))) |
#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)) |
(/.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 d a))) |
#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) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 d (*.f64 c c))))) |
(/.f64 #s(approx (+ (* (neg b) c) (* a d)) (*.f64 d a)) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c)))) |
(/.f64 #s(approx (+ (* (neg b) c) (* a d)) (*.f64 d a)) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d)))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#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 (*.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) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 (/.f64 d c) 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 d) (/.f64 a c))) c)) |
(/.f64 #s(approx (+ (* (neg b) c) (* a d)) (*.f64 d a)) (neg.f64 (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))) |
(/.f64 (fma.f64 c b (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) #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 (neg.f64 a) (/.f64 d c) b) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 c) (/.f64 b d) a) (neg.f64 d))) |
(*.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (/.f64 #s(literal -1 binary64) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (fma.f64 (/.f64 b d) (neg.f64 c) a) (/.f64 #s(literal -1 binary64) d))) |
(/.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)) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
(*.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 #s(literal 1 binary64) (/.f64 d (fma.f64 (/.f64 b d) c (neg.f64 a))))) |
(fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (*.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (* (/ b (+ (* c c) (* d d))) c) (/.f64 (*.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 #s(literal -1 binary64) d) (pow.f64 (fma.f64 (/.f64 b d) (neg.f64 c) a) #s(literal -1 binary64)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) (/.f64 #s(literal -1 binary64) (pow.f64 b #s(literal -1 binary64))) a) (neg.f64 d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (* (/ b (+ (* c c) (* d d))) c) (fma.f64 (/.f64 (/.f64 c d) d) b (*.f64 (/.f64 (neg.f64 b) d) (pow.f64 (/.f64 c d) #s(literal 3 binary64)))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 b d) c) #s(literal 2 binary64)) (*.f64 a a)) (neg.f64 d)) (neg.f64 (fma.f64 (/.f64 b d) c a)))) |
(fma.f64 #s(approx (/ c (+ (* d d) (* c c))) (/.f64 (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) d)) b (*.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c 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))) (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))) |
| 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)) |
(fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (*.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) |
5 calls:
| 71.0ms | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 14.0ms | d |
| 14.0ms | b |
| 14.0ms | c |
| 14.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.8% | 4 | a |
| 69.8% | 4 | b |
| 83.3% | 4 | c |
| 87.0% | 4 | d |
| 75.6% | 3 | (/.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 a (/.f64 #s(literal -1 binary64) d))) |
#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))) #s(approx (/ (+ (* (neg c) (/ b d)) a) (neg d)) (*.f64 (/.f64 c (*.f64 d d)) b))) |
#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)) |
(/.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 d a))) |
#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) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 d (*.f64 c c))))) |
(/.f64 #s(approx (+ (* (neg b) c) (* a d)) (*.f64 d a)) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c)))) |
(/.f64 #s(approx (+ (* (neg b) c) (* a d)) (*.f64 d a)) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d)))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#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 (*.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) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 (/.f64 d c) 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 d) (/.f64 a c))) c)) |
(/.f64 #s(approx (+ (* (neg b) c) (* a d)) (*.f64 d a)) (neg.f64 (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))) |
(/.f64 (fma.f64 c b (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) #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 (neg.f64 a) (/.f64 d c) b) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 c) (/.f64 b d) a) (neg.f64 d))) |
(*.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (/.f64 #s(literal -1 binary64) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (fma.f64 (/.f64 b d) (neg.f64 c) a) (/.f64 #s(literal -1 binary64) d))) |
(/.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)) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
(*.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 #s(literal 1 binary64) (/.f64 d (fma.f64 (/.f64 b d) c (neg.f64 a))))) |
| 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)) |
(/.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (neg.f64 (fma.f64 d d (*.f64 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:
| 12.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.3% | 4 | 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 a (/.f64 #s(literal -1 binary64) d))) |
#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))) #s(approx (/ (+ (* (neg c) (/ b d)) a) (neg d)) (*.f64 (/.f64 c (*.f64 d d)) b))) |
#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)) |
(/.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 d a))) |
#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) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 d (*.f64 c c))))) |
(/.f64 #s(approx (+ (* (neg b) c) (* a d)) (*.f64 d a)) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c)))) |
(/.f64 #s(approx (+ (* (neg b) c) (* a d)) (*.f64 d a)) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d)))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#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 (*.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) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 (/.f64 d c) 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 d) (/.f64 a c))) c)) |
(/.f64 #s(approx (+ (* (neg b) c) (* a d)) (*.f64 d a)) (neg.f64 (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))) |
(/.f64 (fma.f64 c b (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) #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 (neg.f64 a) (/.f64 d c) b) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 c) (/.f64 b d) a) (neg.f64 d))) |
(*.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (/.f64 #s(literal -1 binary64) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (fma.f64 (/.f64 b d) (neg.f64 c) a) (/.f64 #s(literal -1 binary64) d))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d 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)) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) |
1 calls:
| 11.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.3% | 4 | 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 a (/.f64 #s(literal -1 binary64) d))) |
#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))) #s(approx (/ (+ (* (neg c) (/ b d)) a) (neg d)) (*.f64 (/.f64 c (*.f64 d d)) b))) |
#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)) |
(/.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 d a))) |
#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) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 d (*.f64 c c))))) |
(/.f64 #s(approx (+ (* (neg b) c) (* a d)) (*.f64 d a)) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c)))) |
(/.f64 #s(approx (+ (* (neg b) c) (* a d)) (*.f64 d a)) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d)))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#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 (*.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) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 (/.f64 d c) 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 d) (/.f64 a c))) c)) |
(/.f64 #s(approx (+ (* (neg b) c) (* a d)) (*.f64 d a)) (neg.f64 (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))) |
(/.f64 (fma.f64 c b (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) #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 (neg.f64 a) (/.f64 d c) b) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 c) (/.f64 b d) a) (neg.f64 d))) |
(*.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (/.f64 #s(literal -1 binary64) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (fma.f64 (/.f64 b d) (neg.f64 c) a) (/.f64 #s(literal -1 binary64) 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 b d) c (neg.f64 a)) d)) |
1 calls:
| 11.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.0% | 3 | 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 a (/.f64 #s(literal -1 binary64) d))) |
#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))) #s(approx (/ (+ (* (neg c) (/ b d)) a) (neg d)) (*.f64 (/.f64 c (*.f64 d d)) b))) |
#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)) |
(/.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 d a))) |
#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) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 d (*.f64 c c))))) |
(/.f64 #s(approx (+ (* (neg b) c) (* a d)) (*.f64 d a)) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c)))) |
(/.f64 #s(approx (+ (* (neg b) c) (* a d)) (*.f64 d a)) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d)))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#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 (*.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) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 (/.f64 d c) 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 d) (/.f64 a c))) c)) |
(/.f64 #s(approx (+ (* (neg b) c) (* a d)) (*.f64 d a)) (neg.f64 (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))) |
(/.f64 (fma.f64 c b (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) #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 (neg.f64 a) (/.f64 d c) b) c)) |
| 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)) |
2 calls:
| 9.0ms | d |
| 9.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.2% | 3 | c |
| 80.6% | 3 | d |
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 a (/.f64 #s(literal -1 binary64) d))) |
#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))) #s(approx (/ (+ (* (neg c) (/ b d)) a) (neg d)) (*.f64 (/.f64 c (*.f64 d d)) b))) |
#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)) |
(/.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 d a))) |
#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) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 d (*.f64 c c))))) |
(/.f64 #s(approx (+ (* (neg b) c) (* a d)) (*.f64 d a)) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c)))) |
(/.f64 #s(approx (+ (* (neg b) c) (* a d)) (*.f64 d a)) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d)))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#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 (*.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) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 (/.f64 d c) 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 d) (/.f64 a c))) c)) |
(/.f64 #s(approx (+ (* (neg b) c) (* a d)) (*.f64 d a)) (neg.f64 (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))) |
(/.f64 (fma.f64 c b (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) #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 (/.f64 (*.f64 a d) c)) c)) |
(/.f64 (fma.f64 c b (*.f64 (neg.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)) |
3 calls:
| 8.0ms | d |
| 8.0ms | c |
| 8.0ms | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.5% | 5 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 72.8% | 5 | c |
| 75.4% | 4 | 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 a (/.f64 #s(literal -1 binary64) d))) |
#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))) #s(approx (/ (+ (* (neg c) (/ b d)) a) (neg d)) (*.f64 (/.f64 c (*.f64 d d)) b))) |
#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)) |
(/.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 d a))) |
#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) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 d (*.f64 c c))))) |
(/.f64 #s(approx (+ (* (neg b) c) (* a d)) (*.f64 d a)) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c)))) |
(/.f64 #s(approx (+ (* (neg b) c) (* a d)) (*.f64 d a)) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d)))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#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 (*.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) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 (/.f64 d c) 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 d) (/.f64 a c))) c)) |
(/.f64 #s(approx (+ (* (neg b) c) (* a d)) (*.f64 d a)) (neg.f64 (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))) |
(/.f64 (fma.f64 c b (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) #s(approx (+ (* c c) (* d d)) (*.f64 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 (neg.f64 a) d)) |
#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 c (fma.f64 c c (*.f64 d d))) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
4 calls:
| 13.0ms | d |
| 8.0ms | b |
| 8.0ms | c |
| 8.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.2% | 6 | b |
| 58.4% | 3 | a |
| 70.3% | 5 | c |
| 68.2% | 4 | d |
Compiled 4 to 16 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 a (/.f64 #s(literal -1 binary64) d))) |
#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))) #s(approx (/ (+ (* (neg c) (/ b d)) a) (neg d)) (*.f64 (/.f64 c (*.f64 d d)) b))) |
#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)) |
(/.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 d a))) |
#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) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 d (*.f64 c c))))) |
(/.f64 #s(approx (+ (* (neg b) c) (* a d)) (*.f64 d a)) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c)))) |
(/.f64 #s(approx (+ (* (neg b) c) (* a d)) (*.f64 d a)) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d)))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#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 (*.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) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 (/.f64 d c) 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 (neg.f64 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 b c)) |
1 calls:
| 33.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.4% | 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 a (/.f64 #s(literal -1 binary64) d))) |
#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))) #s(approx (/ (+ (* (neg c) (/ b d)) a) (neg d)) (*.f64 (/.f64 c (*.f64 d d)) b))) |
#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)) |
(/.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 d a))) |
#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) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 d (*.f64 c c))))) |
(/.f64 #s(approx (+ (* (neg b) c) (* a d)) (*.f64 d a)) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c)))) |
(/.f64 #s(approx (+ (* (neg b) c) (* a d)) (*.f64 d a)) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d)))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#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 (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)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
2 calls:
| 5.0ms | d |
| 5.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.3% | 3 | d |
| 68.1% | 4 | 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 a (/.f64 #s(literal -1 binary64) d))) |
#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))) #s(approx (/ (+ (* (neg c) (/ b d)) a) (neg d)) (*.f64 (/.f64 c (*.f64 d d)) b))) |
#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)) |
(/.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 d a))) |
#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) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 d (*.f64 c c))))) |
(/.f64 #s(approx (+ (* (neg b) c) (* a d)) (*.f64 d a)) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c)))) |
(/.f64 #s(approx (+ (* (neg b) c) (* a d)) (*.f64 d a)) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d)))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 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 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
1 calls:
| 5.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.5% | 3 | c |
Compiled 1 to 4 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:
| 1.0ms | c |
| 1.0ms | b |
| 1.0ms | d |
| 1.0ms | a |
| 1.0ms | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 43.9% | 1 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 43.9% | 1 | a |
| 43.9% | 1 | b |
| 43.9% | 1 | d |
| 43.9% | 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 | 6.847371753369272e+127 | 6.289240332113267e+128 |
| 11.0ms | 3.7494063381660467e-146 | 7.138912034605048e-145 |
| 18.0ms | -5238568507434415000.0 | -0.17255305375257415 |
| 25.0ms | 384× | 0 | valid |
Compiled 641 to 524 computations (18.3% saved)
ival-mult: 9.0ms (59.3% of total)ival-sub: 2.0ms (13.2% of total)ival-div: 2.0ms (13.2% of total)ival-add: 2.0ms (13.2% 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 | 6.847371753369272e+127 | 6.289240332113267e+128 |
| 46.0ms | 3.7494063381660467e-146 | 7.138912034605048e-145 |
| 1.0ms | -5238568507434415000.0 | -0.17255305375257415 |
| 42.0ms | 96× | 0 | valid |
Compiled 563 to 524 computations (6.9% saved)
ival-mult: 38.0ms (95.5% of total)ival-div: 1.0ms (2.5% 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 |
|---|---|---|
| 1.0ms | 6.847371753369272e+127 | 6.289240332113267e+128 |
| 1.0ms | 3.7494063381660467e-146 | 7.138912034605048e-145 |
| 1.0ms | -5238568507434415000.0 | -0.17255305375257415 |
Compiled 563 to 524 computations (6.9% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 16969022.167198945 | 129797640181367.19 |
| 1.0ms | -5238568507434415000.0 | -0.17255305375257415 |
| 9.0ms | 144× | 0 | valid |
Compiled 418 to 418 computations (0% saved)
ival-mult: 4.0ms (68.4% of total)ival-sub: 1.0ms (17.1% of total)ival-div: 1.0ms (17.1% of total)ival-add: 1.0ms (17.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 16969022.167198945 | 129797640181367.19 |
| 1.0ms | -5238568507434415000.0 | -0.17255305375257415 |
Compiled 418 to 418 computations (0% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 5.8520065611992704e+138 | 1.3659105739691062e+156 |
| 1.0ms | 16969022.167198945 | 129797640181367.19 |
| 49.0ms | -6.769959094861914e+69 | -3.125720263797976e+64 |
| 20.0ms | 304× | 0 | valid |
Compiled 521 to 559 computations (-7.3% saved)
ival-mult: 8.0ms (64.4% of total)ival-div: 2.0ms (16.1% of total)ival-sub: 1.0ms (8.1% of total)ival-add: 1.0ms (8.1% 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 |
|---|---|---|
| 11.0ms | 5.326247333035725e+136 | 1.0701553322668734e+138 |
| 13.0ms | 6.211330395549892e-29 | 1.402755406539232e-25 |
| 50.0ms | 3.321338563755372e-182 | 8.596779581576738e-173 |
| 8.0ms | -5.940225847615437e-36 | -1.7606159377719476e-36 |
| 66.0ms | 464× | 0 | valid |
Compiled 505 to 551 computations (-9.1% saved)
ival-mult: 12.0ms (64% of total)ival-div: 3.0ms (16% of total)ival-sub: 2.0ms (10.7% of total)ival-add: 2.0ms (10.7% 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 | 5.326247333035725e+136 | 1.0701553322668734e+138 |
| 13.0ms | 1.3001736573050742e-8 | 1.473005075764974e-5 |
| 1.0ms | -5.940225847615437e-36 | -1.7606159377719476e-36 |
| 8.0ms | 128× | 0 | valid |
Compiled 296 to 356 computations (-20.3% saved)
ival-mult: 3.0ms (60.4% of total)ival-sub: 1.0ms (20.1% of total)ival-div: 1.0ms (20.1% of total)ival-add: 1.0ms (20.1% 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 |
|---|---|---|
| 39.0ms | 5.326247333035725e+136 | 1.0701553322668734e+138 |
| 1.0ms | 1.3001736573050742e-8 | 1.473005075764974e-5 |
| 0.0ms | -5.940225847615437e-36 | -1.7606159377719476e-36 |
| 4.0ms | 64× | 0 | valid |
Compiled 296 to 356 computations (-20.3% saved)
ival-mult: 1.0ms (40.5% 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)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 2.4542421165703094e+61 | 5.900292387690565e+61 |
| 1.0ms | -5.940225847615437e-36 | -1.7606159377719476e-36 |
| 5.0ms | 80× | 0 | valid |
Compiled 108 to 168 computations (-55.6% saved)
ival-mult: 2.0ms (61.8% 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)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 114 | 978 |
| 1 | 146 | 978 |
| 2 | 186 | 978 |
| 3 | 219 | 978 |
| 4 | 235 | 978 |
| 5 | 241 | 978 |
| 6 | 242 | 978 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 d #s(literal -920000000000000 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 4920686962781621/7029552803973744348141466418259346654483901747346744739219930582205996219799199797373501072037329464296751422864876398630012915711709843264075804970101818523648 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 77999999999999996243979560446799371507458942570363376520871189655427551751844566567906039016188942336093647109017889434675183616 binary64)) (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (*.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 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 -920000000000000 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 8322990519904913/56236422431789954785131731346074773235871213978773957913759444657647969758393598378988008576298635714374011382919011189040103325693678746112606439760814548189184 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 77999999999999996243979560446799371507458942570363376520871189655427551751844566567906039016188942336093647109017889434675183616 binary64)) (/.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (neg.f64 (fma.f64 d d (*.f64 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 -920000000000000 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 8322990519904913/56236422431789954785131731346074773235871213978773957913759444657647969758393598378988008576298635714374011382919011189040103325693678746112606439760814548189184 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 77999999999999996243979560446799371507458942570363376520871189655427551751844566567906039016188942336093647109017889434675183616 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #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 -920000000000000 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 240000000000 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 -920000000000000 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 240000000000 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 -81999999999999995890575796353001647368334335917110782854517743419392 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 d #s(literal 240000000000 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 54999999999999999854506194853564215668176360631673201562065765417623081523065071039495514915639567515687426706844137250184338786049184634071087579136 binary64)) (/.f64 (fma.f64 c b (*.f64 (neg.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))))) |
(if (<=.f64 c #s(literal -8231177221447645/1496577676626844588240573268701473812127674924007424 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 c #s(literal 1479368028632685/17404329748619824289860426352311291980336107281679382059399385520550823849520406290076876874227033232798165548605325345270876711736203910820971150664223534348495463082734165001231667298304 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 c #s(literal 3122104327794287/22300745198530623141535718272648361505980416 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) (if (<=.f64 c #s(literal 100000000000000003284156248920492607898701256635961169551231342625874700689878799554400131562772741268394950478432243557864849063421149184 binary64)) #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 b c)))))) |
(if (<=.f64 c #s(literal -8231177221447645/1496577676626844588240573268701473812127674924007424 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 c #s(literal 3022314549036573/37778931862957161709568 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 c #s(literal 100000000000000003284156248920492607898701256635961169551231342625874700689878799554400131562772741268394950478432243557864849063421149184 binary64)) #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 b c))))) |
(if (<=.f64 c #s(literal -8231177221447645/1496577676626844588240573268701473812127674924007424 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 c #s(literal 3022314549036573/37778931862957161709568 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 c #s(literal 54000000000000003426084296392687505645086948665346631128676632428675386584156539945390549134675644847906299357641623640225048556805816320 binary64)) #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 b c))))) |
(if (<=.f64 c #s(literal -8231177221447645/1496577676626844588240573268701473812127674924007424 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 c #s(literal 42000000000000002156002760594988435587330998811048632217763840 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 d #s(literal -920000000000000 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 4920686962781621/7029552803973744348141466418259346654483901747346744739219930582205996219799199797373501072037329464296751422864876398630012915711709843264075804970101818523648 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 77999999999999996243979560446799371507458942570363376520871189655427551751844566567906039016188942336093647109017889434675183616 binary64)) (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (*.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 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 -920000000000000 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 4920686962781621/7029552803973744348141466418259346654483901747346744739219930582205996219799199797373501072037329464296751422864876398630012915711709843264075804970101818523648 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 77999999999999996243979560446799371507458942570363376520871189655427551751844566567906039016188942336093647109017889434675183616 binary64)) (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) (neg.f64 d))) #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 -920000000000000 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 8322990519904913/56236422431789954785131731346074773235871213978773957913759444657647969758393598378988008576298635714374011382919011189040103325693678746112606439760814548189184 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 77999999999999996243979560446799371507458942570363376520871189655427551751844566567906039016188942336093647109017889434675183616 binary64)) (/.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (neg.f64 (fma.f64 d d (*.f64 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 -920000000000000 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 8322990519904913/56236422431789954785131731346074773235871213978773957913759444657647969758393598378988008576298635714374011382919011189040103325693678746112606439760814548189184 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 77999999999999996243979560446799371507458942570363376520871189655427551751844566567906039016188942336093647109017889434675183616 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #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 -920000000000000 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 8322990519904913/56236422431789954785131731346074773235871213978773957913759444657647969758393598378988008576298635714374011382919011189040103325693678746112606439760814548189184 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 77999999999999996243979560446799371507458942570363376520871189655427551751844566567906039016188942336093647109017889434675183616 binary64)) (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (+.f64 (*.f64 d d) (*.f64 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 -920000000000000 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 240000000000 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 -920000000000000 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 240000000000 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 -920000000000000 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) (if (<=.f64 d #s(literal 240000000000 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 c b) d) a) d)))) |
(if (<=.f64 d #s(literal -81999999999999995890575796353001647368334335917110782854517743419392 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 d #s(literal 240000000000 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 54999999999999999854506194853564215668176360631673201562065765417623081523065071039495514915639567515687426706844137250184338786049184634071087579136 binary64)) (/.f64 (fma.f64 c b (*.f64 (neg.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))))) |
(if (<=.f64 d #s(literal -81999999999999995890575796353001647368334335917110782854517743419392 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 d #s(literal 240000000000 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 54999999999999999854506194853564215668176360631673201562065765417623081523065071039495514915639567515687426706844137250184338786049184634071087579136 binary64)) (/.f64 (fma.f64 c b (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))))) |
(if (<=.f64 c #s(literal -8231177221447645/1496577676626844588240573268701473812127674924007424 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 c #s(literal 1479368028632685/17404329748619824289860426352311291980336107281679382059399385520550823849520406290076876874227033232798165548605325345270876711736203910820971150664223534348495463082734165001231667298304 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 c #s(literal 3122104327794287/22300745198530623141535718272648361505980416 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) (if (<=.f64 c #s(literal 100000000000000003284156248920492607898701256635961169551231342625874700689878799554400131562772741268394950478432243557864849063421149184 binary64)) #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 b c)))))) |
(if (<=.f64 c #s(literal -8231177221447645/1496577676626844588240573268701473812127674924007424 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 c #s(literal 1479368028632685/17404329748619824289860426352311291980336107281679382059399385520550823849520406290076876874227033232798165548605325345270876711736203910820971150664223534348495463082734165001231667298304 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 c #s(literal 3122104327794287/22300745198530623141535718272648361505980416 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a))) (if (<=.f64 c #s(literal 100000000000000003284156248920492607898701256635961169551231342625874700689878799554400131562772741268394950478432243557864849063421149184 binary64)) #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 b c)))))) |
(if (<=.f64 c #s(literal -8231177221447645/1496577676626844588240573268701473812127674924007424 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 c #s(literal 3022314549036573/37778931862957161709568 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 c #s(literal 100000000000000003284156248920492607898701256635961169551231342625874700689878799554400131562772741268394950478432243557864849063421149184 binary64)) #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 b c))))) |
(if (<=.f64 c #s(literal -8231177221447645/1496577676626844588240573268701473812127674924007424 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 c #s(literal 3022314549036573/37778931862957161709568 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 c #s(literal 54000000000000003426084296392687505645086948665346631128676632428675386584156539945390549134675644847906299357641623640225048556805816320 binary64)) #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 b c))))) |
(if (<=.f64 c #s(literal -8231177221447645/1496577676626844588240573268701473812127674924007424 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 c #s(literal 42000000000000002156002760594988435587330998811048632217763840 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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 191 | 1511 |
| 1 | 623 | 1461 |
| 2 | 1861 | 1441 |
| 3 | 5489 | 1432 |
| 0 | 8501 | 1356 |
| 0 | 574 | 9228 |
| 1 | 1772 | 8854 |
| 2 | 5206 | 8617 |
| 0 | 8166 | 8216 |
| 0 | 38 | 236 |
| 0 | 56 | 227 |
| 1 | 196 | 225 |
| 2 | 1326 | 223 |
| 0 | 8339 | 223 |
| 0 | 11 | 35 |
| 0 | 18 | 35 |
| 1 | 65 | 35 |
| 2 | 505 | 35 |
| 3 | 6376 | 35 |
| 0 | 8178 | 33 |
| 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× | node limit |
Compiled 783 to 409 computations (47.8% saved)
Compiled 996 to 278 computations (72.1% saved)
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