
Time bar (total: 10.2s)
| 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)
| 954.0ms | 8 256× | 0 | valid |
ival-mult: 547.0ms (80% of total)ival-div: 48.0ms (7% of total)ival-add: 46.0ms (6.7% of total)ival-sub: 34.0ms (5% of total)ival-true: 6.0ms (0.9% of total)ival-assert: 3.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 107 | 0 | - | 20 | (-5.790056091127554e-8 -6.781108147710547e+227 1.8860327729118277e-151 -1.2916768680572627e+162) | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 3 | 0 | - | 3 | (1.6460990303662548e+92 -3.76162232350185e+87 2.5706632195340967e+228 -2.2651233111991696e+254) | (-.f64 (*.f64 b c) (*.f64 a d)) |
| 0 | 14 | (7.291596146239764e+140 5.648323476625514e-161 -6.18259622216906e+203 -1.8916283718732298e+274) | 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 | 52 | 0 |
| ↳ | (*.f64 b c) | overflow | 33 | |
| ↳ | (-.f64 (*.f64 b c) (*.f64 a d)) | overflow | 66 | |
| ↳ | (*.f64 a d) | overflow | 39 | |
| ↳ | (+.f64 (*.f64 c c) (*.f64 d d)) | overflow | 112 | |
| ↳ | (*.f64 c c) | overflow | 57 | |
| ↳ | (*.f64 d d) | overflow | 69 | |
/.f64 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) | n/o | 16 | 0 |
| ↳ | (+.f64 (*.f64 c c) (*.f64 d d)) | overflow | 112 | |
| ↳ | (*.f64 c c) | overflow | 57 | |
| ↳ | (*.f64 d d) | overflow | 69 | |
+.f64 | (+.f64 (*.f64 c c) (*.f64 d d)) | nan-rescue | 14 | 0 |
| ↳ | (*.f64 c c) | overflow | 57 | |
| ↳ | (*.f64 d d) | overflow | 69 | |
/.f64 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) | o/n | 12 | 0 |
| ↳ | (*.f64 b c) | overflow | 33 | |
| ↳ | (-.f64 (*.f64 b c) (*.f64 a d)) | overflow | 66 | |
| ↳ | (*.f64 a d) | overflow | 39 | |
/.f64 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) | n/u | 5 | 0 |
| ↳ | (+.f64 (*.f64 c c) (*.f64 d d)) | underflow | 12 | |
| ↳ | (*.f64 c c) | underflow | 56 | |
| ↳ | (*.f64 d d) | underflow | 56 | |
/.f64 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) | u/n | 1 | 0 |
| ↳ | (*.f64 b c) | underflow | 26 | |
| ↳ | (-.f64 (*.f64 b c) (*.f64 a d)) | underflow | 2 | |
| ↳ | (*.f64 a d) | underflow | 25 | |
/.f64 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) | u/u | 1 | 0 |
| ↳ | (*.f64 b c) | underflow | 26 | |
| ↳ | (-.f64 (*.f64 b c) (*.f64 a d)) | underflow | 2 | |
| ↳ | (*.f64 a d) | underflow | 25 | |
| ↳ | (+.f64 (*.f64 c c) (*.f64 d d)) | underflow | 12 | |
| ↳ | (*.f64 c c) | underflow | 56 | |
| ↳ | (*.f64 d d) | underflow | 56 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 88 | 19 |
| - | 1 | 148 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 88 | 0 | 19 |
| - | 1 | 0 | 148 |
| number | freq |
|---|---|
| 0 | 167 |
| 1 | 77 |
| 2 | 12 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 140.0ms | 512× | 0 | valid |
Compiled 162 to 48 computations (70.4% saved)
ival-mult: 15.0ms (67% of total)ival-div: 3.0ms (13.4% of total)ival-sub: 2.0ms (8.9% of total)ival-add: 2.0ms (8.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 1 350× | unsub-neg |
| 982× | div-sub |
| 876× | distribute-rgt-in |
| 874× | distribute-lft-in |
| 752× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 214 |
| 1 | 202 | 214 |
| 2 | 402 | 214 |
| 3 | 976 | 214 |
| 4 | 2796 | 214 |
| 5 | 4580 | 214 |
| 6 | 5390 | 214 |
| 7 | 5495 | 214 |
| 8 | 5515 | 214 |
| 9 | 5531 | 214 |
| 10 | 5531 | 214 |
| 11 | 5995 | 214 |
| 12 | 6203 | 214 |
| 13 | 6203 | 214 |
| 14 | 6203 | 214 |
| 15 | 6299 | 214 |
| 16 | 6299 | 214 |
| 17 | 6371 | 214 |
| 18 | 6403 | 214 |
| 19 | 6403 | 214 |
| 20 | 6403 | 214 |
| 0 | 11 | 15 |
| 0 | 18 | 15 |
| 1 | 29 | 15 |
| 2 | 51 | 15 |
| 3 | 81 | 15 |
| 4 | 140 | 15 |
| 5 | 239 | 15 |
| 6 | 382 | 15 |
| 7 | 630 | 15 |
| 8 | 1092 | 15 |
| 9 | 1766 | 15 |
| 10 | 2007 | 15 |
| 11 | 2047 | 15 |
| 12 | 2075 | 15 |
| 13 | 2075 | 15 |
| 0 | 2075 | 14 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 (fma.f64 (neg.f64 a) d (*.f64 c b)) (fma.f64 d d (*.f64 c c))) |
Compiled 19 to 11 computations (42.1% saved)
Compiled 4 to 4 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 60.0% | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
Compiled 19 to 11 computations (42.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 b c) | |
| cost-diff | 0 | (-.f64 (*.f64 b c) (*.f64 a d)) | |
| cost-diff | 0 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) | |
| cost-diff | 128 | (+.f64 (*.f64 c c) (*.f64 d d)) |
| 752× | lower-fma.f64 |
| 752× | lower-fma.f32 |
| 636× | times-frac |
| 512× | lower-*.f32 |
| 504× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 45 |
| 0 | 18 | 45 |
| 1 | 29 | 45 |
| 2 | 51 | 45 |
| 3 | 81 | 45 |
| 4 | 140 | 45 |
| 5 | 239 | 45 |
| 6 | 382 | 45 |
| 7 | 630 | 45 |
| 8 | 1092 | 45 |
| 9 | 1766 | 45 |
| 10 | 2007 | 45 |
| 11 | 2047 | 45 |
| 12 | 2075 | 45 |
| 13 | 2075 | 45 |
| 0 | 2075 | 43 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(-.f64 (*.f64 b c) (*.f64 a d)) |
(*.f64 b c) |
b |
c |
(*.f64 a d) |
a |
d |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(*.f64 c c) |
(*.f64 d d) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 (fma.f64 (neg.f64 a) d (*.f64 c b)) (fma.f64 d d (*.f64 c c))) |
(-.f64 (*.f64 b c) (*.f64 a d)) |
(fma.f64 (neg.f64 a) d (*.f64 c b)) |
(*.f64 b c) |
(*.f64 c b) |
b |
c |
(*.f64 a d) |
(*.f64 d a) |
a |
d |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(fma.f64 d d (*.f64 c c)) |
(*.f64 c c) |
(*.f64 d d) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 b c) | |
| accuracy | 0 | (*.f64 a d) | |
| accuracy | 0.6093750000000001 | (-.f64 (*.f64 b c) (*.f64 a d)) | |
| accuracy | 25.430562251522243 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 38.0ms | 256× | 0 | valid |
Compiled 47 to 13 computations (72.3% saved)
ival-mult: 6.0ms (60.5% of total)ival-sub: 1.0ms (10.1% of total)ival-div: 1.0ms (10.1% of total)ival-add: 1.0ms (10.1% 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>) () ())) ()) |
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#s(alt (+ (* -1 (* a d)) (* b c)) (taylor 0 d) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* a d)) (* b c)) (taylor 0 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 0 d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor 0 d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor 0 d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor 0 d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (pow d 2) (taylor inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor inf d) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 a) (/ (* b c) d)) d) (taylor inf d) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) (taylor inf d) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) (taylor inf d) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a d)) (taylor inf d) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* d (- (/ (* b c) d) a)) (taylor inf d) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* d (- (/ (* b c) d) a)) (taylor inf d) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* d (- (/ (* b c) d) a)) (taylor inf d) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (pow d 2) (taylor -inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor -inf d) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) (taylor -inf d) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) (taylor -inf d) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) (taylor -inf d) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a d)) (taylor -inf d) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) (taylor -inf d) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) (taylor -inf d) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) (taylor -inf d) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor -inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor -inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor -inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor -inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | d | @ | inf | ((+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (* a d)) |
| 1.0ms | b | @ | inf | ((+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (* a d)) |
| 1.0ms | c | @ | inf | ((+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (* a d)) |
| 1.0ms | c | @ | 0 | ((+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (* a d)) |
| 1.0ms | c | @ | -inf | ((+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (* a d)) |
| 1× | egg-herbie |
| 7 930× | lower-fma.f64 |
| 7 930× | lower-fma.f32 |
| 3 586× | lower-*.f64 |
| 3 586× | lower-*.f32 |
| 2 316× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 191 | 1511 |
| 1 | 623 | 1461 |
| 2 | 1861 | 1441 |
| 3 | 5489 | 1432 |
| 0 | 8501 | 1356 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow d 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(* -1 (* a d)) |
(- (* b c) (* a d)) |
(- (* b c) (* a d)) |
(- (* b c) (* a d)) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(* b c) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) |
(* b c) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a d)) |
(- (* b c) (* a d)) |
(- (* b c) (* a d)) |
(- (* b c) (* a d)) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b c) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* b c) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* b c) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a d)) |
(* a (- (/ (* b c) a) d)) |
(* a (- (/ (* b c) a) d)) |
(* a (- (/ (* b c) a) d)) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a d)) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(pow c 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(* b c) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(* -1 (* a d)) |
(* d (- (/ (* b c) d) a)) |
(* d (- (/ (* b c) d) a)) |
(* d (- (/ (* b c) d) a)) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(* -1 (* a d)) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
| Outputs |
|---|
(pow d 2) |
(*.f64 d d) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(/.f64 (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) d) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) (neg.f64 b) (/.f64 a (*.f64 (*.f64 d d) d))) 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 (-.f64 b (/.f64 (fma.f64 a d (/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 d) d) d) (/.f64 a c) (*.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 (-.f64 b (/.f64 (fma.f64 a d (/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 d) d) d) (/.f64 a c) (*.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 b (*.f64 a (fma.f64 c c (*.f64 d d)))) 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 b (*.f64 a (fma.f64 c c (*.f64 d d)))) 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 b (*.f64 a (fma.f64 c c (*.f64 d d)))) 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 b (*.f64 a (fma.f64 c c (*.f64 d d)))) 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 b (*.f64 a (fma.f64 c c (*.f64 d d)))) 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 b (*.f64 a (fma.f64 c c (*.f64 d d)))) 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 (*.f64 (*.f64 c c) c))) d (/.f64 (neg.f64 a) (*.f64 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 (-.f64 (/.f64 (fma.f64 b c (/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 c) c) c) (/.f64 b d) (*.f64 (*.f64 a c) c)) d)) d) a) 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 (-.f64 (/.f64 (fma.f64 b c (/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 c) c) c) (/.f64 b d) (*.f64 (*.f64 a c) c)) d)) d) a) d) |
(* -1 (* a d)) |
(*.f64 (neg.f64 a) d) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(*.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(*.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(*.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
| 5 586× | lower-fma.f64 |
| 5 586× | lower-fma.f32 |
| 5 346× | lower-*.f32 |
| 5 338× | lower-*.f64 |
| 3 234× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 35 |
| 0 | 18 | 35 |
| 1 | 65 | 35 |
| 2 | 505 | 35 |
| 3 | 6376 | 35 |
| 0 | 8178 | 33 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 c c) (*.f64 d d)) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(-.f64 (*.f64 b c) (*.f64 a d)) |
(*.f64 b c) |
(*.f64 a d) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (+.f64 d c)) (-.f64 c d)) (*.f64 (fma.f64 (*.f64 c c) c (*.f64 (*.f64 d d) d)) (-.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 d d) d)))) (fma.f64 (*.f64 (*.f64 c c) c) c (*.f64 (*.f64 d d) (fma.f64 d d (*.f64 c c))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c))) (*.f64 (fma.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 d d) (*.f64 (*.f64 (*.f64 c c) c) c)) (fma.f64 (*.f64 (*.f64 c c) c) c (*.f64 (*.f64 (neg.f64 d) d) (*.f64 (+.f64 d c) (-.f64 d c)))))) (fma.f64 (*.f64 (*.f64 c c) c) c (*.f64 (*.f64 (neg.f64 d) d) (*.f64 (+.f64 d c) (-.f64 d c))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 d d)) (*.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 d d))) (*.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 d d))))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (*.f64 c c) c)) c (*.f64 (*.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 d d)) (-.f64 (*.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 d d)) (*.f64 (*.f64 (*.f64 c c) c) c))))) |
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (+.f64 d c)) (-.f64 c d)) (*.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (+.f64 d c)) (-.f64 c d))) (fma.f64 d d (*.f64 c c))) |
(*.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (+.f64 d c)) (+.f64 d c)) |
(*.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 d c) (-.f64 d c)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 c d) (+.f64 d c))) (*.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (+.f64 d c)) (-.f64 c d))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 d d) (*.f64 (*.f64 (*.f64 c c) c) c))) (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c)))) |
(*.f64 (*.f64 (neg.f64 (fma.f64 d d (*.f64 c c))) (*.f64 (-.f64 c d) (+.f64 d c))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (-.f64 c d) (+.f64 d c))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 d d) (*.f64 (*.f64 (*.f64 c c) c) c))))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
(*.f64 (*.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (+.f64 d c)) (-.f64 c d)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 c d) (+.f64 d c))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (+.f64 d c)) (-.f64 c d)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 c d) (+.f64 d c)))) |
(*.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) |
(*.f64 (fma.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 d d) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 (fma.f64 d d (*.f64 c c)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 d d) (*.f64 (*.f64 (*.f64 c c) c) c))))) |
(*.f64 (fma.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 d d) (*.f64 (*.f64 (*.f64 c c) c) c)) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 d d) (*.f64 (*.f64 (*.f64 c c) c) c)))) |
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(/.f64 (fma.f64 (*.f64 (*.f64 b c) c) (*.f64 (*.f64 b b) c) (*.f64 (*.f64 (*.f64 a a) d) (*.f64 (*.f64 a d) d))) (fma.f64 (*.f64 (*.f64 a a) d) d (-.f64 (*.f64 (*.f64 (*.f64 b c) c) b) (*.f64 (*.f64 a (*.f64 b c)) (neg.f64 d))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 b c) c) (*.f64 (*.f64 b b) c) (*.f64 (*.f64 (*.f64 a a) d) (*.f64 (*.f64 a d) d))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d)))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 b c) c) (*.f64 (*.f64 b b) c) (*.f64 (*.f64 (*.f64 a a) d) (*.f64 (*.f64 a d) d))) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (*.f64 (neg.f64 d) a) (-.f64 (*.f64 (neg.f64 d) a) (*.f64 b c))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 b c) c) (*.f64 (*.f64 b b) c) (*.f64 (*.f64 (*.f64 a a) d) (*.f64 (*.f64 a d) d))) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d)))) |
(neg.f64 (fma.f64 (neg.f64 b) c (*.f64 a d))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b c) c) (*.f64 (*.f64 b b) c)) (*.f64 (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d))) (-.f64 (*.f64 (*.f64 (*.f64 b c) c) b) (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d))))) (-.f64 (*.f64 (*.f64 (*.f64 b c) c) b) (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) d) (*.f64 (*.f64 a d) d)) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d)))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b c) c) (*.f64 (*.f64 b b) c)) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 b c) c) (*.f64 (*.f64 b b) c)) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d)) (*.f64 a d)) (fma.f64 a d (*.f64 b c))) (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d))))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 b c) c) b) (*.f64 (*.f64 b b) c)) c (*.f64 (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d)) (-.f64 (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d)) (*.f64 (*.f64 (*.f64 b c) c) b)))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) d) (*.f64 (*.f64 a d) d)) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d)))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b c) c) b) (fma.f64 (*.f64 (*.f64 b c) c) (*.f64 (*.f64 b b) c) (*.f64 (*.f64 (*.f64 a a) d) (*.f64 (*.f64 a d) d)))) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (*.f64 a d) (fma.f64 (neg.f64 b) c (*.f64 a d)))) (neg.f64 (*.f64 (*.f64 (*.f64 a a) d) (/.f64 d (fma.f64 a d (*.f64 b c)))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b c) c) b) (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 (neg.f64 d) a (*.f64 b c)))) (fma.f64 (neg.f64 d) a (*.f64 b c)) (neg.f64 (*.f64 (*.f64 (*.f64 a a) d) (/.f64 d (fma.f64 a d (*.f64 b c)))))) |
(fma.f64 (*.f64 d #s(literal -1 binary64)) a (*.f64 b c)) |
(fma.f64 (*.f64 (*.f64 b c) c) (/.f64 b (fma.f64 a d (*.f64 b c))) (neg.f64 (*.f64 (*.f64 (*.f64 a a) d) (/.f64 d (fma.f64 a d (*.f64 b c)))))) |
(fma.f64 (*.f64 (*.f64 b b) c) (/.f64 c (fma.f64 a d (*.f64 b c))) (neg.f64 (*.f64 (*.f64 (*.f64 a a) d) (/.f64 d (fma.f64 a d (*.f64 b c)))))) |
(fma.f64 (neg.f64 d) a (*.f64 b c)) |
(fma.f64 (*.f64 b b) (/.f64 (*.f64 c c) (fma.f64 a d (*.f64 b c))) (neg.f64 (*.f64 (*.f64 (*.f64 a a) d) (/.f64 d (fma.f64 a d (*.f64 b c)))))) |
(fma.f64 (pow.f64 (*.f64 b c) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 b c) #s(literal 3/2 binary64)) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d)))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) d) (*.f64 (*.f64 a d) d)) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d)))))) |
(fma.f64 (*.f64 (*.f64 b b) b) (/.f64 (*.f64 (*.f64 c c) c) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d)))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) d) (*.f64 (*.f64 a d) d)) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d)))))) |
(fma.f64 (*.f64 (*.f64 c c) c) (/.f64 (*.f64 (*.f64 b b) b) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d)))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) d) (*.f64 (*.f64 a d) d)) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d)))))) |
(fma.f64 #s(literal -1 binary64) (*.f64 a d) (*.f64 b c)) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) (/.f64 (*.f64 b c) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d)))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) d) (*.f64 (*.f64 a d) d)) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d)))))) |
(fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) (/.f64 #s(literal 1 binary64) (fma.f64 a d (*.f64 b c))) (neg.f64 (*.f64 (*.f64 (*.f64 a a) d) (/.f64 d (fma.f64 a d (*.f64 b c)))))) |
(fma.f64 (*.f64 (*.f64 (*.f64 b c) c) (*.f64 (*.f64 b b) c)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d)))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) d) (*.f64 (*.f64 a d) d)) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d)))))) |
(fma.f64 (*.f64 a d) #s(literal -1 binary64) (*.f64 b c)) |
(fma.f64 a (neg.f64 d) (*.f64 b c)) |
(fma.f64 (*.f64 b c) (/.f64 (*.f64 (*.f64 (*.f64 b c) c) b) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d)))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) d) (*.f64 (*.f64 a d) d)) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d)))))) |
(fma.f64 (*.f64 b c) (/.f64 (*.f64 b c) (fma.f64 a d (*.f64 b c))) (neg.f64 (*.f64 (*.f64 (*.f64 a a) d) (/.f64 d (fma.f64 a d (*.f64 b c)))))) |
(fma.f64 b (/.f64 (*.f64 (*.f64 b c) c) (fma.f64 a d (*.f64 b c))) (neg.f64 (*.f64 (*.f64 (*.f64 a a) d) (/.f64 d (fma.f64 a d (*.f64 b c)))))) |
(fma.f64 b c (*.f64 (neg.f64 d) a)) |
(fma.f64 d (neg.f64 a) (*.f64 b c)) |
(fma.f64 (*.f64 c c) (/.f64 (*.f64 b b) (fma.f64 a d (*.f64 b c))) (neg.f64 (*.f64 (*.f64 (*.f64 a a) d) (/.f64 d (fma.f64 a d (*.f64 b c)))))) |
(fma.f64 c (/.f64 (*.f64 (*.f64 b b) c) (fma.f64 a d (*.f64 b c))) (neg.f64 (*.f64 (*.f64 (*.f64 a a) d) (/.f64 d (fma.f64 a d (*.f64 b c)))))) |
(fma.f64 c b (*.f64 (neg.f64 d) a)) |
(-.f64 (fma.f64 b c #s(literal 0 binary64)) (*.f64 a d)) |
(-.f64 (*.f64 (*.f64 (*.f64 b c) c) (/.f64 b (fma.f64 a d (*.f64 b c)))) (*.f64 (*.f64 (*.f64 a a) d) (/.f64 d (fma.f64 a d (*.f64 b c))))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 b c) c) (*.f64 (*.f64 b b) c)) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d)))) (/.f64 (*.f64 (*.f64 (*.f64 a a) d) (*.f64 (*.f64 a d) d)) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d))))) |
(-.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d))) |
(-.f64 (*.f64 b c) (*.f64 a d)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) #s(literal -1 binary64))) |
(+.f64 (neg.f64 (*.f64 (neg.f64 b) c)) (*.f64 (neg.f64 d) a)) |
(+.f64 (*.f64 (*.f64 (*.f64 b c) c) (/.f64 b (fma.f64 a d (*.f64 b c)))) (neg.f64 (*.f64 (*.f64 (*.f64 a a) d) (/.f64 d (fma.f64 a d (*.f64 b c)))))) |
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 b c) c) (*.f64 (*.f64 b b) c)) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d)))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) d) (*.f64 (*.f64 a d) d)) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d)))))) |
(+.f64 (*.f64 (neg.f64 d) a) (*.f64 b c)) |
(+.f64 (*.f64 b c) (*.f64 (neg.f64 d) a)) |
(*.f64 b c) |
(*.f64 c b) |
(*.f64 (neg.f64 (neg.f64 d)) a) |
(*.f64 (neg.f64 (neg.f64 a)) d) |
(*.f64 (neg.f64 d) (neg.f64 a)) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 d) a)) |
(*.f64 (neg.f64 a) (neg.f64 d)) |
(*.f64 #s(literal 1 binary64) (*.f64 a d)) |
(*.f64 a (neg.f64 (neg.f64 d))) |
(*.f64 a d) |
(*.f64 d (neg.f64 (neg.f64 a))) |
(*.f64 d a) |
(neg.f64 (*.f64 (neg.f64 d) a)) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 d) a)) |
Compiled 24 549 to 1 324 computations (94.6% saved)
16 alts after pruning (16 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 630 | 16 | 646 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 631 | 16 | 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))))) |
| 60.0% | (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) | |
| 60.0% | (/.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (neg.f64 (fma.f64 d d (*.f64 c c)))) | |
| 9.8% | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c))) (*.f64 (fma.f64 (*.f64 c c) c (*.f64 (*.f64 d d) d)) (-.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 d d) d)))) (*.f64 (fma.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 d d) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 (fma.f64 (*.f64 c c) c (*.f64 (*.f64 d d) d)) (-.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 d d) d)))))) | |
| 30.7% | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| 38.6% | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| ▶ | 41.4% | (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| ▶ | 59.8% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (neg.f64 d) a (*.f64 b c)))) |
| 59.6% | (*.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))) | |
| 49.1% | (*.f64 (*.f64 (fma.f64 a d (*.f64 b c)) (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c)))) (/.f64 #s(literal 1 binary64) (fma.f64 a d (*.f64 b c)))) | |
| ▶ | 51.2% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) |
| 52.6% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) | |
| 40.7% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) | |
| ▶ | 45.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
| 42.4% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) | |
| 36.7% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
Compiled 718 to 334 computations (53.5% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 c c) | |
| cost-diff | 0 | (fma.f64 d d (*.f64 c c)) | |
| cost-diff | 0 | (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (neg.f64 d) a (*.f64 b c))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (neg.f64 d) a (*.f64 b c)))) | |
| cost-diff | 0 | (/.f64 (*.f64 b c) d) | |
| cost-diff | 0 | (-.f64 (/.f64 (*.f64 b c) d) a) | |
| cost-diff | 0 | (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) | |
| cost-diff | 0 | (*.f64 b c) | |
| cost-diff | 0 | #s(approx (- (* b c) (* a d)) (*.f64 b c)) | |
| cost-diff | 0 | (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) (+.f64 (*.f64 c c) (*.f64 d d))) | |
| cost-diff | 128 | (+.f64 (*.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))))) |
| 1 800× | lower-fma.f32 |
| 1 794× | lower-fma.f64 |
| 1 256× | lower-*.f32 |
| 1 248× | lower-*.f64 |
| 962× | times-frac |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 245 |
| 0 | 52 | 246 |
| 1 | 92 | 232 |
| 2 | 138 | 232 |
| 3 | 255 | 232 |
| 4 | 516 | 232 |
| 5 | 813 | 232 |
| 6 | 1413 | 232 |
| 7 | 2657 | 232 |
| 8 | 3408 | 232 |
| 9 | 3859 | 232 |
| 10 | 4104 | 232 |
| 11 | 4140 | 232 |
| 12 | 4163 | 232 |
| 13 | 4197 | 232 |
| 14 | 4310 | 232 |
| 15 | 4334 | 232 |
| 16 | 4334 | 232 |
| 17 | 4374 | 232 |
| 18 | 4390 | 232 |
| 0 | 4390 | 232 |
| 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 |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) (+.f64 (*.f64 c c) (*.f64 d d))) |
#s(approx (- (* b c) (* a d)) (*.f64 b c)) |
(*.f64 b c) |
b |
c |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(*.f64 c c) |
(*.f64 d d) |
d |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) |
(/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) |
(-.f64 (/.f64 (*.f64 b c) d) a) |
(/.f64 (*.f64 b c) d) |
(*.f64 b c) |
b |
c |
d |
a |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (neg.f64 d) a (*.f64 b c)))) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (neg.f64 d) a (*.f64 b c))) |
(fma.f64 d d (*.f64 c c)) |
d |
(*.f64 c c) |
c |
(fma.f64 (neg.f64 d) a (*.f64 b c)) |
(neg.f64 d) |
a |
(*.f64 b c) |
b |
| 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 (/.f64 d (fma.f64 d d (*.f64 c c))) (neg.f64 a)) |
(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 |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) (fma.f64 d d (*.f64 c c))) |
#s(approx (- (* b c) (* a d)) (*.f64 b c)) |
(*.f64 b c) |
b |
c |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(fma.f64 d d (*.f64 c c)) |
(*.f64 c c) |
(*.f64 d d) |
d |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) |
(/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) |
(-.f64 (/.f64 (*.f64 b c) d) a) |
(/.f64 (*.f64 b c) d) |
(*.f64 b c) |
b |
c |
d |
a |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (neg.f64 d) a (*.f64 b c)))) |
(/.f64 (fma.f64 a (neg.f64 d) (*.f64 b c)) (fma.f64 d d (*.f64 c c))) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (neg.f64 d) a (*.f64 b c))) |
(/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 a (neg.f64 d) (*.f64 b c))) |
(fma.f64 d d (*.f64 c c)) |
d |
(*.f64 c c) |
c |
(fma.f64 (neg.f64 d) a (*.f64 b c)) |
(fma.f64 a (neg.f64 d) (*.f64 b c)) |
(neg.f64 d) |
a |
(*.f64 b c) |
b |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (neg.f64 d) | |
| accuracy | 0.7578042428166806 | (fma.f64 (neg.f64 d) a (*.f64 b c)) | |
| accuracy | 0.7800020869753072 | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (neg.f64 d) a (*.f64 b c)))) | |
| accuracy | 24.913551267190517 | (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (neg.f64 d) a (*.f64 b c))) | |
| accuracy | 0 | (*.f64 b c) | |
| accuracy | 0.3180963290896058 | (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) | |
| accuracy | 4.003694085644582 | (/.f64 (*.f64 b c) d) | |
| accuracy | 29.48198035234564 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) | |
| accuracy | 0 | (*.f64 c c) | |
| accuracy | 0 | (*.f64 b c) | |
| accuracy | 25.430562251522243 | (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) (+.f64 (*.f64 c c) (*.f64 d d))) | |
| accuracy | 29.27680689982048 | #s(approx (- (* b c) (* a d)) (*.f64 b c)) | |
| accuracy | 0 | (/.f64 b c) | |
| accuracy | 35.20176764578686 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) | |
| accuracy | 1.5486564672842662 | (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 | 7.722948977212731 | (/.f64 a (fma.f64 d d (*.f64 c c))) | |
| accuracy | 10.826931471080236 | (*.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c)))) | |
| accuracy | 17.414902351536533 | (/.f64 c (fma.f64 d d (*.f64 c c))) |
| 168.0ms | 256× | 0 | valid |
Compiled 238 to 29 computations (87.8% saved)
ival-div: 67.0ms (47.9% of total)ival-add: 58.0ms (41.4% of total)ival-mult: 11.0ms (7.9% of total)ival-sub: 2.0ms (1.4% of total)ival-neg: 1.0ms (0.7% 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 (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 (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* b c) (* a d)) (*.f64 b c)) (patch #s(approx (- (* b c) (* a 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 (-.f64 (/.f64 (*.f64 b c) d) a) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) (patch (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 (*.f64 b c) d) a) (patch (-.f64 (/.f64 (*.f64 b c) d) a) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 b c) d) (patch (/.f64 (*.f64 b c) d) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (neg.f64 d) a (*.f64 b c)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (neg.f64 d) a (*.f64 b c)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (neg.f64 d) a (*.f64 b c))) (patch (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (neg.f64 d) a (*.f64 b c))) #<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>) () ()) |
#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ()) |
#s(alt (neg.f64 d) (patch (neg.f64 d) #<representation binary64>) () ()) |
| 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>) () ())) ()) |
#s(alt (* c (+ (* (pow c 2) (- (/ (pow c 2) (pow d 6)) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))) (taylor 0 c) (#s(alt (/.f64 c (fma.f64 d d (*.f64 c c))) (patch (/.f64 c (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 8))) (/ 1 (pow d 6)))) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))) (taylor 0 c) (#s(alt (/.f64 c (fma.f64 d d (*.f64 c c))) (patch (/.f64 c (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (pow d 2) (taylor 0 c) (#s(alt (fma.f64 d d (*.f64 c c)) (patch (fma.f64 d d (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (fma.f64 d d (*.f64 c c)) (patch (fma.f64 d d (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (fma.f64 d d (*.f64 c c)) (patch (fma.f64 d d (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (fma.f64 d d (*.f64 c c)) (patch (fma.f64 d d (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (pow c 2) (taylor 0 c) (#s(alt (*.f64 c c) (patch (*.f64 c c) #<representation binary64>) () ())) ()) |
#s(alt (pow c 2) (taylor 0 c) (#s(alt (*.f64 c c) (patch (*.f64 c c) #<representation binary64>) () ())) ()) |
#s(alt (pow c 2) (taylor 0 c) (#s(alt (*.f64 c c) (patch (*.f64 c c) #<representation binary64>) () ())) ()) |
#s(alt (pow c 2) (taylor 0 c) (#s(alt (*.f64 c c) (patch (*.f64 c c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor 0 c) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor 0 c) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor 0 c) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor 0 c) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (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 #s(approx (- (* b c) (* a d)) (*.f64 b c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) (+.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 #s(approx (- (* b c) (* a d)) (*.f64 b c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) (+.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 #s(approx (- (* b c) (* a d)) (*.f64 b c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) (+.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 #s(approx (- (* b c) (* a d)) (*.f64 b c)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a d)) (taylor 0 c) (#s(alt #s(approx (- (* b c) (* a d)) (*.f64 b c)) (patch #s(approx (- (* b c) (* a d)) (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (- (* b c) (* a d)) (taylor 0 c) (#s(alt #s(approx (- (* b c) (* a d)) (*.f64 b c)) (patch #s(approx (- (* b c) (* a d)) (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (- (* b c) (* a d)) (taylor 0 c) (#s(alt #s(approx (- (* b c) (* a d)) (*.f64 b c)) (patch #s(approx (- (* b c) (* a d)) (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (- (* b c) (* a d)) (taylor 0 c) (#s(alt #s(approx (- (* b c) (* a d)) (*.f64 b c)) (patch #s(approx (- (* b c) (* a d)) (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (* b c) (taylor 0 c) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (* b c) (taylor 0 c) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (* b c) (taylor 0 c) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (* b c) (taylor 0 c) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) 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 (-.f64 (/.f64 (*.f64 b c) d) a) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) 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 (-.f64 (/.f64 (*.f64 b c) d) a) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) 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 (-.f64 (/.f64 (*.f64 b c) d) a) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) (patch (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) (patch (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) (patch (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) (patch (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 a) (taylor 0 c) (#s(alt (-.f64 (/.f64 (*.f64 b c) d) a) (patch (-.f64 (/.f64 (*.f64 b c) d) a) #<representation binary64>) () ())) ()) |
#s(alt (- (/ (* b c) d) a) (taylor 0 c) (#s(alt (-.f64 (/.f64 (*.f64 b c) d) a) (patch (-.f64 (/.f64 (*.f64 b c) d) a) #<representation binary64>) () ())) ()) |
#s(alt (- (/ (* b c) d) a) (taylor 0 c) (#s(alt (-.f64 (/.f64 (*.f64 b c) d) a) (patch (-.f64 (/.f64 (*.f64 b c) d) a) #<representation binary64>) () ())) ()) |
#s(alt (- (/ (* b c) d) a) (taylor 0 c) (#s(alt (-.f64 (/.f64 (*.f64 b c) d) a) (patch (-.f64 (/.f64 (*.f64 b c) d) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) d) (taylor 0 c) (#s(alt (/.f64 (*.f64 b c) d) (patch (/.f64 (*.f64 b c) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) d) (taylor 0 c) (#s(alt (/.f64 (*.f64 b c) d) (patch (/.f64 (*.f64 b c) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) d) (taylor 0 c) (#s(alt (/.f64 (*.f64 b c) d) (patch (/.f64 (*.f64 b c) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) d) (taylor 0 c) (#s(alt (/.f64 (*.f64 b c) d) (patch (/.f64 (*.f64 b c) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (neg.f64 d) a (*.f64 b c)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (neg.f64 d) a (*.f64 b c)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (neg.f64 d) a (*.f64 b c)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (neg.f64 d) a (*.f64 b c)))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) (taylor -inf d) (#s(alt #s(approx (- (* b c) (* a d)) (*.f64 b c)) (patch #s(approx (- (* b c) (* a d)) (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) (taylor -inf d) (#s(alt #s(approx (- (* b c) (* a d)) (*.f64 b c)) (patch #s(approx (- (* b c) (* a d)) (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) (taylor -inf d) (#s(alt #s(approx (- (* b c) (* a d)) (*.f64 b c)) (patch #s(approx (- (* b c) (* a d)) (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor -inf d) (#s(alt (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) (patch (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) (taylor -inf d) (#s(alt (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) (patch (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) (taylor -inf d) (#s(alt (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) (patch (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) (taylor -inf d) (#s(alt (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) (patch (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 a) (taylor -inf d) (#s(alt (-.f64 (/.f64 (*.f64 b c) d) a) (patch (-.f64 (/.f64 (*.f64 b c) d) a) #<representation binary64>) () ())) ()) |
#s(alt (- (/ (* b c) d) a) (taylor -inf d) (#s(alt (-.f64 (/.f64 (*.f64 b c) d) a) (patch (-.f64 (/.f64 (*.f64 b c) d) a) #<representation binary64>) () ())) ()) |
#s(alt (- (/ (* b c) d) a) (taylor -inf d) (#s(alt (-.f64 (/.f64 (*.f64 b c) d) a) (patch (-.f64 (/.f64 (*.f64 b c) d) a) #<representation binary64>) () ())) ()) |
#s(alt (- (/ (* b c) d) a) (taylor -inf d) (#s(alt (-.f64 (/.f64 (*.f64 b c) d) a) (patch (-.f64 (/.f64 (*.f64 b c) d) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) d) (taylor -inf d) (#s(alt (/.f64 (*.f64 b c) d) (patch (/.f64 (*.f64 b c) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) d) (taylor -inf d) (#s(alt (/.f64 (*.f64 b c) d) (patch (/.f64 (*.f64 b c) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) d) (taylor -inf d) (#s(alt (/.f64 (*.f64 b c) d) (patch (/.f64 (*.f64 b c) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) d) (taylor -inf d) (#s(alt (/.f64 (*.f64 b c) d) (patch (/.f64 (*.f64 b c) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor -inf d) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (neg.f64 d) a (*.f64 b c)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (neg.f64 d) a (*.f64 b c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) (taylor -inf d) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (neg.f64 d) a (*.f64 b c)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (neg.f64 d) a (*.f64 b c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) (taylor -inf d) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (neg.f64 d) a (*.f64 b c)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (neg.f64 d) a (*.f64 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 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (neg.f64 d) a (*.f64 b c)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (neg.f64 d) a (*.f64 b c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ d a)) (taylor -inf d) (#s(alt (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (neg.f64 d) a (*.f64 b c))) (patch (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (neg.f64 d) a (*.f64 b c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (/ 1 a) (/ (* b c) (* (pow a 2) d))))) (taylor -inf d) (#s(alt (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (neg.f64 d) a (*.f64 b c))) (patch (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (neg.f64 d) a (*.f64 b c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (* -1 (/ (- (* -1 (/ (- (/ (pow c 2) a) (* -1 (/ (* (pow b 2) (pow c 2)) (pow a 3)))) d)) (/ (* b c) (pow a 2))) d)) (/ 1 a)))) (taylor -inf d) (#s(alt (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (neg.f64 d) a (*.f64 b c))) (patch (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (neg.f64 d) a (*.f64 b c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* b (* c (- (/ (pow c 2) a) (* -1 (/ (* (pow b 2) (pow c 2)) (pow a 3)))))) (* a d)) (/ (pow c 2) a)) (* -1 (/ (* (pow b 2) (pow c 2)) (pow a 3)))) d)) (/ (* b c) (pow a 2))) d)) (/ 1 a)))) (taylor -inf d) (#s(alt (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (neg.f64 d) a (*.f64 b c))) (patch (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (neg.f64 d) a (*.f64 b c))) #<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>) () ())) ()) |
#s(alt (* -1 (* a d)) (taylor -inf d) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ a (* -1 (/ (* b c) d))))) (taylor -inf d) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ a (* -1 (/ (* b c) d))))) (taylor -inf d) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ a (* -1 (/ (* b c) d))))) (taylor -inf d) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 d) (taylor -inf d) (#s(alt (neg.f64 d) (patch (neg.f64 d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 d) (taylor -inf d) (#s(alt (neg.f64 d) (patch (neg.f64 d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 d) (taylor -inf d) (#s(alt (neg.f64 d) (patch (neg.f64 d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 d) (taylor -inf d) (#s(alt (neg.f64 d) (patch (neg.f64 d) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 28.0ms | 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) (+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- (/ (* b c) d) a) d) (- (/ (* b c) d) a) (/ (* b c) d) (/ 1 (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c)))) (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (* (neg d) (/ a (+ (* d d) (* c c)))) (/ a (+ (* d d) (* c c))) (+ (* (neg d) a) (* b c)) (neg d)) |
| 13.0ms | 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) (+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- (/ (* b c) d) a) d) (- (/ (* b c) d) a) (/ (* b c) d) (/ 1 (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c)))) (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (* (neg d) (/ a (+ (* d d) (* c c)))) (/ a (+ (* d d) (* c c))) (+ (* (neg d) a) (* b c)) (neg d)) |
| 5.0ms | b | @ | 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) (+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- (/ (* b c) d) a) d) (- (/ (* b c) d) a) (/ (* b c) d) (/ 1 (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c)))) (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (* (neg d) (/ a (+ (* d d) (* c c)))) (/ a (+ (* d d) (* c c))) (+ (* (neg d) a) (* b c)) (neg d)) |
| 4.0ms | b | @ | 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) (+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- (/ (* b c) d) a) d) (- (/ (* b c) d) a) (/ (* b c) d) (/ 1 (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c)))) (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (* (neg d) (/ a (+ (* d d) (* c c)))) (/ a (+ (* d d) (* c c))) (+ (* (neg d) a) (* b c)) (neg d)) |
| 4.0ms | 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) (+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- (/ (* b c) d) a) d) (- (/ (* b c) d) a) (/ (* b c) d) (/ 1 (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c)))) (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (* (neg d) (/ a (+ (* d d) (* c c)))) (/ a (+ (* d d) (* c c))) (+ (* (neg d) a) (* b c)) (neg d)) |
| 1× | egg-herbie |
| 7 666× | lower-fma.f64 |
| 7 666× | lower-fma.f32 |
| 7 000× | lower-*.f64 |
| 7 000× | lower-*.f32 |
| 3 130× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 793 | 10478 |
| 1 | 2663 | 10085 |
| 0 | 8319 | 9622 |
| 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) |
(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) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(* -1 a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(* -1 (/ a d)) |
(+ (* -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 (/ d a)) |
(+ (* -1 (/ d a)) (* -1 (/ (* b c) (pow a 2)))) |
(+ (* -1 (/ d a)) (* c (- (* -1 (* c (+ (/ 1 (* a d)) (/ (pow b 2) (* (pow a 3) d))))) (/ b (pow a 2))))) |
(+ (* -1 (/ d a)) (* c (- (* c (- (* -1 (/ (* b (* c (+ (/ 1 (* a d)) (/ (pow b 2) (* (pow a 3) d))))) (* a d))) (+ (/ 1 (* a d)) (/ (pow b 2) (* (pow a 3) d))))) (/ b (pow a 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))))) |
(/ 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))) |
(* -1 (* a d)) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* 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 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) |
(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) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(/ (* b c) (pow d 2)) |
(* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2)))) |
(* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2)))) |
(* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2)))) |
(/ (* b c) d) |
(* c (+ (* -1 (/ a c)) (/ b d))) |
(* c (+ (* -1 (/ a c)) (/ b d))) |
(* c (+ (* -1 (/ a c)) (/ b d))) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -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) |
(/ c b) |
(* c (+ (/ 1 b) (/ (* a d) (* (pow b 2) c)))) |
(* c (- (+ (/ 1 b) (/ (pow d 2) (* b (pow c 2)))) (+ (* -1 (/ (* a d) (* (pow b 2) c))) (* -1 (/ (* (pow a 2) (pow d 2)) (* (pow b 3) (pow c 2))))))) |
(* c (- (+ (/ 1 b) (+ (/ (* a (* d (- (/ (pow d 2) b) (* -1 (/ (* (pow a 2) (pow d 2)) (pow b 3)))))) (* b (pow c 3))) (/ (pow d 2) (* b (pow c 2))))) (+ (* -1 (/ (* a d) (* (pow b 2) c))) (* -1 (/ (* (pow a 2) (pow d 2)) (* (pow b 3) (pow c 2))))))) |
(* -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) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(* 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)) (* 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) |
(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) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) |
(/ (* b c) (pow d 2)) |
(* -1 (* c (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))) |
(* -1 (* c (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))) |
(* -1 (* c (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))) |
(/ (* b c) d) |
(* -1 (* c (+ (* -1 (/ b d)) (/ a c)))) |
(* -1 (* c (+ (* -1 (/ b d)) (/ a c)))) |
(* -1 (* c (+ (* -1 (/ b d)) (/ a c)))) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (* -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)) |
(/ c b) |
(* -1 (* c (- (* -1 (/ (* a d) (* (pow b 2) c))) (/ 1 b)))) |
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow d 2) b)) (/ (* (pow a 2) (pow d 2)) (pow b 3))) c)) (* -1 (/ (* a d) (pow b 2)))) c)) (/ 1 b)))) |
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow d 2) b)) (/ (* a (* d (- (* -1 (/ (pow d 2) b)) (/ (* (pow a 2) (pow d 2)) (pow b 3))))) (* b c))) (/ (* (pow a 2) (pow d 2)) (pow b 3))) c)) (* -1 (/ (* a d) (pow b 2)))) c)) (/ 1 b)))) |
(* -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 (* c (+ (* -1 b) (/ (* a d) c)))) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a d)) |
(- (* b c) (* a d)) |
(- (* b c) (* a d)) |
(- (* b c) (* a d)) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(* -1 a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(* -1 (/ (* a d) (+ (pow c 2) (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 (/ (+ (pow c 2) (pow d 2)) (* a d))) |
(+ (* -1 (/ (* b (* c (+ (pow c 2) (pow d 2)))) (* (pow a 2) (pow d 2)))) (* -1 (/ (+ (pow c 2) (pow d 2)) (* a d)))) |
(+ (* -1 (/ (+ (pow c 2) (pow d 2)) (* a d))) (* b (- (* -1 (/ (* b (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* (pow a 3) (pow d 3)))) (/ (* c (+ (pow c 2) (pow d 2))) (* (pow a 2) (pow d 2)))))) |
(+ (* -1 (/ (+ (pow c 2) (pow d 2)) (* a d))) (* b (- (* b (- (* -1 (/ (* b (* (pow c 3) (+ (pow c 2) (pow d 2)))) (* (pow a 4) (pow d 4)))) (/ (* (pow c 2) (+ (pow c 2) (pow d 2))) (* (pow a 3) (pow d 3))))) (/ (* c (+ (pow c 2) (pow d 2))) (* (pow a 2) (pow d 2)))))) |
(* -1 (* a d)) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -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))))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b c) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(/ (* b c) (pow d 2)) |
(* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2)))) |
(* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2)))) |
(* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2)))) |
(/ (* b c) d) |
(* b (+ (* -1 (/ a b)) (/ c d))) |
(* b (+ (* -1 (/ a b)) (/ c d))) |
(* b (+ (* -1 (/ a b)) (/ c d))) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) (+ (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))))) |
(/ (+ (pow c 2) (pow d 2)) (* b c)) |
(/ (+ c (+ (/ (* a (* d (+ (pow c 2) (pow d 2)))) (* b (pow c 2))) (/ (pow d 2) c))) b) |
(/ (- (+ c (+ (/ (* (pow a 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* (pow b 2) (pow c 3))) (/ (pow d 2) c))) (* -1 (/ (* a (* d (+ (pow c 2) (pow d 2)))) (* b (pow c 2))))) b) |
(/ (- (+ c (+ (/ (* (pow a 3) (* (pow d 3) (+ (pow c 2) (pow d 2)))) (* (pow b 3) (pow c 4))) (/ (pow d 2) c))) (+ (* -1 (/ (* a (* d (+ (pow c 2) (pow d 2)))) (* b (pow c 2)))) (* -1 (/ (* (pow a 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* (pow b 2) (pow c 3)))))) b) |
(* b c) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(* 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) (+ (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) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(/ (* b c) (pow d 2)) |
(* -1 (* b (+ (* -1 (/ c (pow d 2))) (/ a (* b d))))) |
(* -1 (* b (+ (* -1 (/ c (pow d 2))) (/ a (* b d))))) |
(* -1 (* b (+ (* -1 (/ c (pow d 2))) (/ a (* b d))))) |
(/ (* b c) d) |
(* -1 (* b (+ (* -1 (/ c d)) (/ a b)))) |
(* -1 (* b (+ (* -1 (/ c d)) (/ a b)))) |
(* -1 (* b (+ (* -1 (/ c d)) (/ a b)))) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) (+ (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))))))) |
(/ (+ (pow c 2) (pow d 2)) (* b c)) |
(* -1 (/ (+ (* -1 (/ (* a (* d (+ (pow c 2) (pow d 2)))) (* b (pow c 2)))) (* -1 (/ (+ (pow c 2) (pow d 2)) c))) b)) |
(* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) c)) (* -1 (/ (- (/ (* (pow a 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* b (pow c 3))) (* -1 (/ (* a (* d (+ (pow c 2) (pow d 2)))) (pow c 2)))) b))) b)) |
(* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) c)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow a 3) (* (pow d 3) (+ (pow c 2) (pow d 2)))) (* b (pow c 4)))) (/ (* (pow a 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (pow c 3))) b)) (* -1 (/ (* a (* d (+ (pow c 2) (pow d 2)))) (pow c 2)))) b))) b)) |
(* 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) (+ (pow c 2) (pow d 2))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* b c) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(/ (* b c) (pow d 2)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/ (* b c) d) |
(+ (* -1 a) (/ (* b c) d)) |
(+ (* -1 a) (/ (* b c) d)) |
(+ (* -1 a) (/ (* b c) d)) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(/ (+ (pow c 2) (pow d 2)) (* b c)) |
(+ (/ c b) (+ (/ (* a (* d (+ (pow c 2) (pow d 2)))) (* (pow b 2) (pow c 2))) (/ (pow d 2) (* b c)))) |
(+ (* a (- (/ (* a (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* (pow b 3) (pow c 3))) (* -1 (/ (* d (+ (pow c 2) (pow d 2))) (* (pow b 2) (pow c 2)))))) (+ (/ c b) (/ (pow d 2) (* b c)))) |
(+ (* a (- (* a (- (/ (* a (* (pow d 3) (+ (pow c 2) (pow d 2)))) (* (pow b 4) (pow c 4))) (* -1 (/ (* (pow d 2) (+ (pow c 2) (pow d 2))) (* (pow b 3) (pow c 3)))))) (* -1 (/ (* d (+ (pow c 2) (pow d 2))) (* (pow b 2) (pow c 2)))))) (+ (/ c b) (/ (pow d 2) (* b c)))) |
(* -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)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ (* a d) (+ (pow c 2) (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)) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ a d)) |
(* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d))) |
(* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d))) |
(* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d))) |
(* -1 a) |
(* a (- (/ (* b c) (* a d)) 1)) |
(* a (- (/ (* b c) (* a d)) 1)) |
(* a (- (/ (* b c) (* a d)) 1)) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ (+ (pow c 2) (pow d 2)) (* a d))) |
(/ (+ (* -1 (/ (* b (* c (+ (pow c 2) (pow d 2)))) (* a (pow d 2)))) (* -1 (/ (+ (pow c 2) (pow d 2)) d))) a) |
(/ (- (+ (* -1 (/ (* (pow b 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* (pow a 2) (pow d 3)))) (* -1 (/ (+ (pow c 2) (pow d 2)) d))) (/ (* b (* c (+ (pow c 2) (pow d 2)))) (* a (pow d 2)))) a) |
(/ (- (+ (* -1 (/ (* (pow b 3) (* (pow c 3) (+ (pow c 2) (pow d 2)))) (* (pow a 3) (pow d 4)))) (* -1 (/ (+ (pow c 2) (pow d 2)) d))) (+ (/ (* b (* c (+ (pow c 2) (pow d 2)))) (* a (pow d 2))) (/ (* (pow b 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* (pow a 2) (pow d 3))))) a) |
(* -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)) |
(* a (+ (* -1 d) (/ (* b c) a))) |
(* a (+ (* -1 d) (/ (* b c) a))) |
(* a (+ (* -1 d) (/ (* b c) a))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a d)) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ a d)) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (/ 1 d)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (/ 1 d)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (/ 1 d)))) |
(* -1 a) |
(* -1 (* a (+ 1 (* -1 (/ (* b c) (* a d)))))) |
(* -1 (* a (+ 1 (* -1 (/ (* b c) (* a d)))))) |
(* -1 (* a (+ 1 (* -1 (/ (* b c) (* a d)))))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ (+ (pow c 2) (pow d 2)) (* a d))) |
(* -1 (/ (+ d (+ (/ (* b (* c (+ (pow c 2) (pow d 2)))) (* a (pow d 2))) (/ (pow c 2) d))) a)) |
(* -1 (/ (+ d (+ (* -1 (/ (- (* -1 (/ (* (pow b 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* a (pow d 3)))) (/ (* b (* c (+ (pow c 2) (pow d 2)))) (pow d 2))) a)) (/ (pow c 2) d))) a)) |
(* -1 (/ (+ d (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (* (pow c 3) (+ (pow c 2) (pow d 2)))) (* a (pow d 4))) (* -1 (/ (* (pow b 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (pow d 3)))) a)) (/ (* b (* c (+ (pow c 2) (pow d 2)))) (pow d 2))) a)) (/ (pow c 2) d))) a)) |
(* -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)) |
(* -1 (* a (+ d (* -1 (/ (* b c) a))))) |
(* -1 (* a (+ d (* -1 (/ (* b c) a))))) |
(* -1 (* a (+ d (* -1 (/ (* b c) a))))) |
(/ 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)) |
(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)) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(/ (* b c) (pow d 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow d 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow d 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow d 2)) |
(/ (* b c) d) |
(/ (+ (* -1 (* a d)) (* b c)) d) |
(/ (+ (* -1 (* a d)) (* b c)) d) |
(/ (+ (* -1 (* a d)) (* b c)) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* 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)) |
(/ c b) |
(+ (/ c b) (/ (* a d) (pow b 2))) |
(+ (* d (- (* d (- (/ 1 (* b c)) (* -1 (/ (pow a 2) (* (pow b 3) c))))) (* -1 (/ a (pow b 2))))) (/ c b)) |
(+ (* d (- (* d (- (+ (/ 1 (* b c)) (/ (* a (* d (- (/ 1 (* b c)) (* -1 (/ (pow a 2) (* (pow b 3) c)))))) (* b c))) (* -1 (/ (pow a 2) (* (pow b 3) c))))) (* -1 (/ a (pow b 2))))) (/ c b)) |
(* -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))) |
(* b c) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(* -1 d) |
(* -1 d) |
(* -1 d) |
(* -1 d) |
(* -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) |
(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)) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(* -1 a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(* -1 (/ a d)) |
(/ (+ (* -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 a)) |
(* d (- (* -1 (/ (* b c) (* (pow a 2) d))) (/ 1 a))) |
(* d (- (* -1 (/ (pow c 2) (* a (pow d 2)))) (+ (/ 1 a) (+ (/ (* b c) (* (pow a 2) d)) (/ (* (pow b 2) (pow c 2)) (* (pow a 3) (pow d 2))))))) |
(* d (- (+ (* -1 (/ (pow c 2) (* a (pow d 2)))) (/ (* b (* c (- (* -1 (/ (pow c 2) a)) (/ (* (pow b 2) (pow c 2)) (pow a 3))))) (* a (pow d 3)))) (+ (/ 1 a) (+ (/ (* b c) (* (pow a 2) d)) (/ (* (pow b 2) (pow c 2)) (* (pow a 3) (pow d 2))))))) |
(* -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)) |
(* d (+ (* -1 a) (/ (* b c) d))) |
(* d (+ (* -1 a) (/ (* b c) d))) |
(* d (+ (* -1 a) (/ (* b c) d))) |
(* -1 d) |
(* -1 d) |
(* -1 d) |
(* -1 d) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -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)) |
(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)))) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(* -1 (/ a d)) |
(* -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 a)) |
(* -1 (* d (+ (/ 1 a) (/ (* b c) (* (pow a 2) d))))) |
(* -1 (* d (+ (* -1 (/ (- (* -1 (/ (- (/ (pow c 2) a) (* -1 (/ (* (pow b 2) (pow c 2)) (pow a 3)))) d)) (/ (* b c) (pow a 2))) d)) (/ 1 a)))) |
(* -1 (* d (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* b (* c (- (/ (pow c 2) a) (* -1 (/ (* (pow b 2) (pow c 2)) (pow a 3)))))) (* a d)) (/ (pow c 2) a)) (* -1 (/ (* (pow b 2) (pow c 2)) (pow a 3)))) d)) (/ (* b c) (pow a 2))) d)) (/ 1 a)))) |
(* -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)) |
(* -1 (* a d)) |
(* -1 (* d (+ a (* -1 (/ (* b c) d))))) |
(* -1 (* d (+ a (* -1 (/ (* b c) d))))) |
(* -1 (* d (+ a (* -1 (/ (* b c) d))))) |
(* -1 d) |
(* -1 d) |
(* -1 d) |
(* -1 d) |
| Outputs |
|---|
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
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(/.f64 (*.f64 c b) d) |
(/ (* b c) d) |
(/.f64 (*.f64 c b) d) |
(/ (* b c) d) |
(/.f64 (*.f64 c b) d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (fma.f64 (/.f64 (neg.f64 c) d) b 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 a (/.f64 (*.f64 c c) 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 b (/.f64 (*.f64 (*.f64 c c) c) d) (*.f64 (*.f64 (neg.f64 c) c) a)) (neg.f64 d))) d)) (neg.f64 d)) |
(* -1 (/ d a)) |
(/.f64 d (neg.f64 a)) |
(* -1 (* d (+ (/ 1 a) (/ (* b c) (* (pow a 2) d))))) |
(*.f64 (fma.f64 b (/.f64 c (*.f64 (*.f64 a a) d)) (/.f64 #s(literal 1 binary64) a)) (neg.f64 d)) |
(* -1 (* d (+ (* -1 (/ (- (* -1 (/ (- (/ (pow c 2) a) (* -1 (/ (* (pow b 2) (pow c 2)) (pow a 3)))) d)) (/ (* b c) (pow a 2))) d)) (/ 1 a)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (*.f64 c c) a) (/.f64 (*.f64 (*.f64 (*.f64 c c) b) b) (*.f64 (*.f64 a a) a))) (neg.f64 d)) (*.f64 b (/.f64 c (*.f64 a a)))) d)) (neg.f64 d)) |
(* -1 (* d (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* b (* c (- (/ (pow c 2) a) (* -1 (/ (* (pow b 2) (pow c 2)) (pow a 3)))))) (* a d)) (/ (pow c 2) a)) (* -1 (/ (* (pow b 2) (pow c 2)) (pow a 3)))) d)) (/ (* b c) (pow a 2))) d)) (/ 1 a)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (-.f64 (/.f64 (fma.f64 b (/.f64 (*.f64 (+.f64 (/.f64 (*.f64 c c) a) (/.f64 (*.f64 (*.f64 (*.f64 c c) b) b) (*.f64 (*.f64 a a) a))) c) (*.f64 d a)) (+.f64 (/.f64 (*.f64 c c) a) (/.f64 (*.f64 (*.f64 (*.f64 c c) b) b) (*.f64 (*.f64 a a) a)))) (neg.f64 d)) (*.f64 b (/.f64 c (*.f64 a a)))) d)) (neg.f64 d)) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* a (pow c 2)) (pow d 2)))) d)) |
(/.f64 (fma.f64 a (/.f64 (*.f64 c c) (*.f64 d d)) (neg.f64 a)) d) |
(* -1 (/ (- (+ a (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2))) d)) |
(/.f64 (+.f64 a (*.f64 a (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (*.f64 (*.f64 d d) d) d)) (/.f64 (*.f64 c c) (*.f64 d d))))) (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 (-.f64 (fma.f64 (neg.f64 a) (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) a) (fma.f64 (neg.f64 a) (/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (*.f64 (*.f64 d d) d) d)) (/.f64 (*.f64 (*.f64 c c) a) (*.f64 d d)))) (neg.f64 d)) |
(/ a (pow d 2)) |
(/.f64 a (*.f64 d d)) |
(/ (+ a (* -1 (/ (* a (pow c 2)) (pow d 2)))) (pow d 2)) |
(/.f64 (fma.f64 (neg.f64 a) (/.f64 (*.f64 c c) (*.f64 d d)) a) (*.f64 d d)) |
(/ (- (+ a (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2))) (pow d 2)) |
(/.f64 (+.f64 a (*.f64 a (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (*.f64 (*.f64 d d) d) d)) (/.f64 (*.f64 c c) (*.f64 d d))))) (*.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 (-.f64 (fma.f64 (neg.f64 a) (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) a) (fma.f64 (neg.f64 a) (/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (*.f64 (*.f64 d d) d) d)) (/.f64 (*.f64 (*.f64 c c) a) (*.f64 d d)))) (*.f64 d d)) |
(* -1 (* a d)) |
(*.f64 (neg.f64 d) a) |
(* -1 (* d (+ a (* -1 (/ (* b c) d))))) |
(*.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) |
(* -1 (* d (+ a (* -1 (/ (* b c) d))))) |
(*.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) |
(* -1 (* d (+ a (* -1 (/ (* b c) d))))) |
(*.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) |
(* -1 d) |
(neg.f64 d) |
(* -1 d) |
(neg.f64 d) |
(* -1 d) |
(neg.f64 d) |
(* -1 d) |
(neg.f64 d) |
| 5 794× | lower-fma.f32 |
| 5 788× | lower-fma.f64 |
| 5 100× | lower-/.f32 |
| 5 084× | lower-/.f64 |
| 4 670× | lower-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 204 |
| 0 | 52 | 205 |
| 1 | 222 | 191 |
| 2 | 1718 | 191 |
| 0 | 8585 | 191 |
| 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) |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) (+.f64 (*.f64 c c) (*.f64 d d))) |
#s(approx (- (* b c) (* a d)) (*.f64 b c)) |
(*.f64 b c) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) |
(/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) |
(-.f64 (/.f64 (*.f64 b c) d) a) |
(/.f64 (*.f64 b c) d) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (neg.f64 d) a (*.f64 b c)))) |
(/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (neg.f64 d) a (*.f64 b c))) |
(*.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c)))) |
(/.f64 a (fma.f64 d d (*.f64 c c))) |
(fma.f64 (neg.f64 d) a (*.f64 b c)) |
(neg.f64 d) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 d d (*.f64 c c))) (/.f64 (fma.f64 a (neg.f64 d) (*.f64 b c)) (fma.f64 a d (*.f64 b c)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 a (neg.f64 d) (*.f64 b c))))) (/.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (fma.f64 a d (*.f64 b c)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a (neg.f64 d) (*.f64 b c)) (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 b) c))))) (/.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 b) c)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 b c) b) c) (*.f64 b c) (*.f64 (*.f64 (*.f64 (*.f64 a d) a) d) (*.f64 a d))))) (/.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (fma.f64 (*.f64 (*.f64 b c) b) c (*.f64 (*.f64 a d) (fma.f64 a d (*.f64 b c)))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 b c) b) c) (*.f64 b c) (*.f64 (*.f64 (*.f64 (*.f64 a d) a) d) (*.f64 a d))))) (/.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (fma.f64 (*.f64 (*.f64 a d) a) d (*.f64 (*.f64 b c) (-.f64 (*.f64 b c) (*.f64 a (neg.f64 d))))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c)))) #s(literal 1 binary64)) (/.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (/.f64 #s(literal 1 binary64) (fma.f64 a (neg.f64 d) (*.f64 b c))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 a (neg.f64 d) (*.f64 b c))))) (/.f64 (*.f64 (+.f64 c d) (-.f64 c d)) (fma.f64 a d (*.f64 b c)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a (neg.f64 d) (*.f64 b c)) (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 b) c))))) (/.f64 (*.f64 (+.f64 c d) (-.f64 c d)) (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 b) c)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 b c) b) c) (*.f64 b c) (*.f64 (*.f64 (*.f64 (*.f64 a d) a) d) (*.f64 a d))))) (/.f64 (*.f64 (+.f64 c d) (-.f64 c d)) (fma.f64 (*.f64 (*.f64 b c) b) c (*.f64 (*.f64 a d) (fma.f64 a d (*.f64 b c)))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 b c) b) c) (*.f64 b c) (*.f64 (*.f64 (*.f64 (*.f64 a d) a) d) (*.f64 a d))))) (/.f64 (*.f64 (+.f64 c d) (-.f64 c d)) (fma.f64 (*.f64 (*.f64 a d) a) d (*.f64 (*.f64 b c) (-.f64 (*.f64 b c) (*.f64 a (neg.f64 d))))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d)))) #s(literal 1 binary64)) (/.f64 (*.f64 (+.f64 c d) (-.f64 c d)) (/.f64 #s(literal 1 binary64) (fma.f64 a (neg.f64 d) (*.f64 b c))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 a (neg.f64 d) (*.f64 b c))))) (/.f64 (fma.f64 (*.f64 (*.f64 d d) d) d (*.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)))) (fma.f64 a d (*.f64 b c)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 a (neg.f64 d) (*.f64 b c))))) (/.f64 (fma.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 (*.f64 (*.f64 c c) c) c)) (fma.f64 a d (*.f64 b c)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a (neg.f64 d) (*.f64 b c)) (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 b) c))))) (/.f64 (fma.f64 (*.f64 (*.f64 d d) d) d (*.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)))) (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 b) c)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a (neg.f64 d) (*.f64 b c)) (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 b) c))))) (/.f64 (fma.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 (*.f64 (*.f64 c c) c) c)) (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 b) c)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 b c) b) c) (*.f64 b c) (*.f64 (*.f64 (*.f64 (*.f64 a d) a) d) (*.f64 a d))))) (/.f64 (fma.f64 (*.f64 (*.f64 d d) d) d (*.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)))) (fma.f64 (*.f64 (*.f64 b c) b) c (*.f64 (*.f64 a d) (fma.f64 a d (*.f64 b c)))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 b c) b) c) (*.f64 b c) (*.f64 (*.f64 (*.f64 (*.f64 a d) a) d) (*.f64 a d))))) (/.f64 (fma.f64 (*.f64 (*.f64 d d) d) d (*.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)))) (fma.f64 (*.f64 (*.f64 a d) a) d (*.f64 (*.f64 b c) (-.f64 (*.f64 b c) (*.f64 a (neg.f64 d))))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 b c) b) c) (*.f64 b c) (*.f64 (*.f64 (*.f64 (*.f64 a d) a) d) (*.f64 a d))))) (/.f64 (fma.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 (*.f64 (*.f64 c c) c) c)) (fma.f64 (*.f64 (*.f64 b c) b) c (*.f64 (*.f64 a d) (fma.f64 a d (*.f64 b c)))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 b c) b) c) (*.f64 b c) (*.f64 (*.f64 (*.f64 (*.f64 a d) a) d) (*.f64 a d))))) (/.f64 (fma.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 (*.f64 (*.f64 c c) c) c)) (fma.f64 (*.f64 (*.f64 a d) a) d (*.f64 (*.f64 b c) (-.f64 (*.f64 b c) (*.f64 a (neg.f64 d))))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d)))) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 d d) d) d (*.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 #s(literal 1 binary64) (fma.f64 a (neg.f64 d) (*.f64 b c))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d)))) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 (*.f64 (*.f64 c c) c) c)) (/.f64 #s(literal 1 binary64) (fma.f64 a (neg.f64 d) (*.f64 b c))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 a (neg.f64 d) (*.f64 b c))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (fma.f64 a d (*.f64 b c)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a (neg.f64 d) (*.f64 b c)) (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 b) c))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 b) c)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 b c) b) c) (*.f64 b c) (*.f64 (*.f64 (*.f64 (*.f64 a d) a) d) (*.f64 a d))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (fma.f64 (*.f64 (*.f64 b c) b) c (*.f64 (*.f64 a d) (fma.f64 a d (*.f64 b c)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 b c) b) c) (*.f64 b c) (*.f64 (*.f64 (*.f64 (*.f64 a d) a) d) (*.f64 a d))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (fma.f64 (*.f64 (*.f64 a d) a) d (*.f64 (*.f64 b c) (-.f64 (*.f64 b c) (*.f64 a (neg.f64 d))))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 b c) b) c (*.f64 (*.f64 a d) (fma.f64 a d (*.f64 b c)))) (fma.f64 d d (*.f64 c c))) (/.f64 (fma.f64 a (neg.f64 d) (*.f64 b c)) (fma.f64 (*.f64 (*.f64 b c) b) c (*.f64 (*.f64 a d) (fma.f64 a d (*.f64 b c)))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 b c) b) c (*.f64 (*.f64 a d) (fma.f64 a d (*.f64 b c)))) (fma.f64 d d (*.f64 c c))) (/.f64 (fma.f64 a (neg.f64 d) (*.f64 b c)) (fma.f64 (*.f64 (*.f64 a d) a) d (*.f64 (*.f64 b c) (-.f64 (*.f64 b c) (*.f64 a (neg.f64 d))))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 a d) a) d (*.f64 (*.f64 b c) (-.f64 (*.f64 b c) (*.f64 a (neg.f64 d))))) (fma.f64 d d (*.f64 c c))) (/.f64 (fma.f64 a (neg.f64 d) (*.f64 b c)) (fma.f64 (*.f64 (*.f64 b c) b) c (*.f64 (*.f64 a d) (fma.f64 a d (*.f64 b c)))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 a d) a) d (*.f64 (*.f64 b c) (-.f64 (*.f64 b c) (*.f64 a (neg.f64 d))))) (fma.f64 d d (*.f64 c c))) (/.f64 (fma.f64 a (neg.f64 d) (*.f64 b c)) (fma.f64 (*.f64 (*.f64 a d) a) d (*.f64 (*.f64 b c) (-.f64 (*.f64 b c) (*.f64 a (neg.f64 d))))))) |
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(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 a d) a) d) (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 b) c))) (*.f64 (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 b) c)) (*.f64 (*.f64 (*.f64 b c) b) c))) (*.f64 (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 b) c)) (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 b) c)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 b b) b)) (fma.f64 (*.f64 (*.f64 b c) b) c (*.f64 (*.f64 a d) (fma.f64 a d (*.f64 b c))))) (*.f64 (fma.f64 (*.f64 (*.f64 b c) b) c (*.f64 (*.f64 a d) (fma.f64 a d (*.f64 b c)))) (*.f64 (*.f64 (*.f64 (*.f64 a d) a) d) (*.f64 a d)))) (*.f64 (fma.f64 (*.f64 (*.f64 b c) b) c (*.f64 (*.f64 a d) (fma.f64 a d (*.f64 b c)))) (fma.f64 (*.f64 (*.f64 b c) b) c (*.f64 (*.f64 a d) (fma.f64 a d (*.f64 b c)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 a (neg.f64 d) (*.f64 b c)))) (neg.f64 (-.f64 (*.f64 b c) (*.f64 a (neg.f64 d))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 a (neg.f64 d) (*.f64 b c)))) (neg.f64 (fma.f64 a d (*.f64 b c)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 a (neg.f64 d) (*.f64 b c)) (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 b) c)))) (neg.f64 (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 b) c)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b c) b) c) (*.f64 b c) (*.f64 (*.f64 (*.f64 (*.f64 a d) a) d) (*.f64 a d)))) (neg.f64 (fma.f64 (*.f64 (*.f64 b c) b) c (-.f64 (*.f64 (*.f64 (*.f64 a d) a) d) (*.f64 (*.f64 (*.f64 a (neg.f64 d)) b) c))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b c) b) c) (*.f64 b c) (*.f64 (*.f64 (*.f64 (*.f64 a d) a) d) (*.f64 a d)))) (neg.f64 (fma.f64 (*.f64 (*.f64 b c) b) c (*.f64 (*.f64 a d) (fma.f64 a d (*.f64 b c)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b c) b) c) (*.f64 b c) (*.f64 (*.f64 (*.f64 (*.f64 a d) a) d) (*.f64 a d)))) (neg.f64 (fma.f64 (*.f64 (*.f64 a d) a) d (*.f64 (*.f64 b c) (-.f64 (*.f64 b c) (*.f64 a (neg.f64 d))))))) |
(/.f64 (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 a (neg.f64 d) (*.f64 b c))) (-.f64 (*.f64 b c) (*.f64 a (neg.f64 d)))) |
(/.f64 (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 a (neg.f64 d) (*.f64 b c))) (fma.f64 a d (*.f64 b c))) |
(/.f64 (*.f64 (fma.f64 a (neg.f64 d) (*.f64 b c)) (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 b) c))) (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 b) c))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b c) b) c) (*.f64 b c) (*.f64 (*.f64 (*.f64 (*.f64 a d) a) d) (*.f64 a d))) (fma.f64 (*.f64 (*.f64 b c) b) c (-.f64 (*.f64 (*.f64 (*.f64 a d) a) d) (*.f64 (*.f64 (*.f64 a (neg.f64 d)) b) c)))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b c) b) c) (*.f64 b c) (*.f64 (*.f64 (*.f64 (*.f64 a d) a) d) (*.f64 a d))) (fma.f64 (*.f64 (*.f64 b c) b) c (*.f64 (*.f64 a d) (fma.f64 a d (*.f64 b c))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b c) b) c) (*.f64 b c) (*.f64 (*.f64 (*.f64 (*.f64 a d) a) d) (*.f64 a d))) (fma.f64 (*.f64 (*.f64 a d) a) d (*.f64 (*.f64 b c) (-.f64 (*.f64 b c) (*.f64 a (neg.f64 d)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 a d (*.f64 b c)) (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 a (neg.f64 d) (*.f64 b c)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 b) c)) (*.f64 (fma.f64 a (neg.f64 d) (*.f64 b c)) (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 b) c)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 b c) b) c (*.f64 (*.f64 a d) (fma.f64 a d (*.f64 b c)))) (fma.f64 (*.f64 (*.f64 (*.f64 b c) b) c) (*.f64 b c) (*.f64 (*.f64 (*.f64 (*.f64 a d) a) d) (*.f64 a d)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 a d) a) d (*.f64 (*.f64 b c) (-.f64 (*.f64 b c) (*.f64 a (neg.f64 d))))) (fma.f64 (*.f64 (*.f64 (*.f64 b c) b) c) (*.f64 b c) (*.f64 (*.f64 (*.f64 (*.f64 a d) a) d) (*.f64 a d)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a d (*.f64 b c)) (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 a (neg.f64 d) (*.f64 b c))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 b) c)) (*.f64 (fma.f64 a (neg.f64 d) (*.f64 b c)) (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 b) c))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 b c) b) c (*.f64 (*.f64 a d) (fma.f64 a d (*.f64 b c)))) (fma.f64 (*.f64 (*.f64 (*.f64 b c) b) c) (*.f64 b c) (*.f64 (*.f64 (*.f64 (*.f64 a d) a) d) (*.f64 a d))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 a d) a) d (*.f64 (*.f64 b c) (-.f64 (*.f64 b c) (*.f64 a (neg.f64 d))))) (fma.f64 (*.f64 (*.f64 (*.f64 b c) b) c) (*.f64 b c) (*.f64 (*.f64 (*.f64 (*.f64 a d) a) d) (*.f64 a d))))) |
(fma.f64 (*.f64 a #s(literal -1 binary64)) d (*.f64 b c)) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(fma.f64 #s(literal -1 binary64) (*.f64 a d) (*.f64 b c)) |
(fma.f64 a (neg.f64 d) (*.f64 b c)) |
(fma.f64 (neg.f64 d) a (*.f64 b c)) |
(fma.f64 b c (*.f64 a (neg.f64 d))) |
(fma.f64 d (neg.f64 a) (*.f64 b c)) |
(fma.f64 c b (*.f64 a (neg.f64 d))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 b c) b) c) (-.f64 (*.f64 b c) (*.f64 a (neg.f64 d)))) (/.f64 (*.f64 (*.f64 (*.f64 a d) a) d) (-.f64 (*.f64 b c) (*.f64 a (neg.f64 d))))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 b b) b)) (fma.f64 (*.f64 (*.f64 b c) b) c (-.f64 (*.f64 (*.f64 (*.f64 a d) a) d) (*.f64 (*.f64 (*.f64 a (neg.f64 d)) b) c)))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 a d) a) d) (*.f64 a d)) (fma.f64 (*.f64 (*.f64 b c) b) c (-.f64 (*.f64 (*.f64 (*.f64 a d) a) d) (*.f64 (*.f64 (*.f64 a (neg.f64 d)) b) c))))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 b b) b)) (fma.f64 (*.f64 (*.f64 a d) a) d (*.f64 (*.f64 b c) (-.f64 (*.f64 b c) (*.f64 a (neg.f64 d)))))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 a d) a) d) (*.f64 a d)) (fma.f64 (*.f64 (*.f64 a d) a) d (*.f64 (*.f64 b c) (-.f64 (*.f64 b c) (*.f64 a (neg.f64 d))))))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 b c) b) c) (fma.f64 a d (*.f64 b c))) (/.f64 (*.f64 (*.f64 (*.f64 a d) a) d) (fma.f64 a d (*.f64 b c)))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a d) a) d) (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 b) c))) (/.f64 (*.f64 (*.f64 (*.f64 b c) b) c) (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 b) c)))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 b b) b)) (fma.f64 (*.f64 (*.f64 b c) b) c (*.f64 (*.f64 a d) (fma.f64 a d (*.f64 b c))))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 a d) a) d) (*.f64 a d)) (fma.f64 (*.f64 (*.f64 b c) b) c (*.f64 (*.f64 a d) (fma.f64 a d (*.f64 b c)))))) |
(-.f64 (*.f64 b c) (*.f64 a d)) |
(+.f64 (*.f64 a (neg.f64 d)) (*.f64 b c)) |
(+.f64 (*.f64 b c) (*.f64 a (neg.f64 d))) |
(*.f64 #s(literal -1 binary64) d) |
(*.f64 d #s(literal -1 binary64)) |
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 d d) (neg.f64 d))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 d d) (*.f64 #s(literal 0 binary64) (neg.f64 d))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 d d))) (neg.f64 (+.f64 #s(literal 0 binary64) d))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 d d) d))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 d d (*.f64 #s(literal 0 binary64) d))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 d d)) (+.f64 #s(literal 0 binary64) d)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 d d) d)) (+.f64 #s(literal 0 binary64) (fma.f64 d d (*.f64 #s(literal 0 binary64) d)))) |
(neg.f64 d) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) d)) (/.f64 (*.f64 d d) (+.f64 #s(literal 0 binary64) d))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 d d (*.f64 #s(literal 0 binary64) d)))) (/.f64 (*.f64 (*.f64 d d) d) (+.f64 #s(literal 0 binary64) (fma.f64 d d (*.f64 #s(literal 0 binary64) d))))) |
(-.f64 #s(literal 0 binary64) d) |
(+.f64 #s(literal 0 binary64) (neg.f64 d)) |
Compiled 78 449 to 3 945 computations (95% saved)
24 alts after pruning (23 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 398 | 18 | 2 416 |
| Fresh | 6 | 5 | 11 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 408 | 24 | 2 432 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 62.8% | (fma.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a)) (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c))))) |
| 61.4% | (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (*.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) a))) | |
| 60.0% | (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) | |
| 30.7% | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| 38.6% | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| 41.4% | (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) (fma.f64 d d (*.f64 c c))) | |
| 18.3% | (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| 31.0% | (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| 40.2% | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 d (neg.f64 a)))) | |
| ▶ | 44.7% | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b))) |
| 51.8% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (neg.f64 a) (*.f64 c c)) d (/.f64 b c))) | |
| ▶ | 53.1% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) |
| 53.2% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) | |
| 51.2% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 b c))) a) d)) | |
| 17.8% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) d) (*.f64 (*.f64 d (/.f64 d (*.f64 b c))) a)) (*.f64 (*.f64 d (/.f64 d (*.f64 b c))) d))) | |
| 52.6% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) | |
| ▶ | 40.7% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
| 21.1% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- (/ (* b c) d) a) (/.f64 (*.f64 c b) d)) d)) | |
| ✓ | 45.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
| ▶ | 36.7% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a))) |
| 42.4% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) | |
| 44.9% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b)) | |
| 25.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (exp.f64 (*.f64 (log.f64 (/.f64 d (-.f64 (/.f64 (*.f64 b c) d) a))) #s(literal -1 binary64)))) | |
| 18.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (* b c) d) a) d) (*.f64 (/.f64 c (*.f64 d d)) b))) |
Compiled 734 to 413 computations (43.7% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 c d) | |
| cost-diff | 0 | (fma.f64 (/.f64 c d) b (neg.f64 a)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) | |
| cost-diff | 0 | (fma.f64 c c (*.f64 d d)) | |
| cost-diff | 0 | (/.f64 d (fma.f64 c c (*.f64 d d))) | |
| cost-diff | 0 | (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a)) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a))) | |
| cost-diff | 0 | (/.f64 c b) | |
| cost-diff | 0 | #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b))) | |
| cost-diff | 0 | (neg.f64 a) | |
| cost-diff | 0 | (/.f64 (neg.f64 a) d) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) | |
| cost-diff | 0 | (fma.f64 d d (*.f64 c c)) | |
| cost-diff | 0 | (/.f64 d (fma.f64 d d (*.f64 c c))) | |
| cost-diff | 1280 | (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a)) | |
| cost-diff | 1408 | (fma.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a)) (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c))))) |
| 2 056× | lower-fma.f32 |
| 2 048× | lower-fma.f64 |
| 1 416× | lower-*.f32 |
| 1 408× | lower-*.f64 |
| 1 072× | div-sub |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 254 |
| 0 | 62 | 246 |
| 1 | 110 | 239 |
| 2 | 159 | 239 |
| 3 | 267 | 239 |
| 4 | 488 | 239 |
| 5 | 1005 | 239 |
| 6 | 1851 | 239 |
| 7 | 2904 | 239 |
| 8 | 3707 | 239 |
| 9 | 4123 | 239 |
| 10 | 4250 | 239 |
| 11 | 4351 | 239 |
| 12 | 4524 | 239 |
| 13 | 4524 | 239 |
| 14 | 4524 | 239 |
| 15 | 4524 | 239 |
| 16 | 4616 | 239 |
| 17 | 4736 | 239 |
| 18 | 4752 | 239 |
| 19 | 4752 | 239 |
| 0 | 4752 | 239 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a)) (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c))))) |
(/.f64 d (fma.f64 d d (*.f64 c c))) |
d |
(fma.f64 d d (*.f64 c c)) |
(*.f64 c c) |
c |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a)) |
#s(literal -1 binary64) |
(/.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
a |
(*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c)))) |
b |
(/.f64 c (fma.f64 d d (*.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 |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b))) |
#s(literal 1 binary64) |
#s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b)) |
(/.f64 c b) |
c |
b |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a))) |
(*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a)) |
(/.f64 d (fma.f64 c c (*.f64 d d))) |
d |
(fma.f64 c c (*.f64 d d)) |
c |
(*.f64 d d) |
(neg.f64 a) |
a |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) |
(/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) |
(fma.f64 (/.f64 c d) b (neg.f64 a)) |
(/.f64 c d) |
c |
d |
b |
(neg.f64 a) |
a |
| Outputs |
|---|
(fma.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a)) (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c))))) |
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 c c (*.f64 d d))) |
(/.f64 d (fma.f64 d d (*.f64 c c))) |
(/.f64 d (fma.f64 c c (*.f64 d d))) |
d |
(fma.f64 d d (*.f64 c c)) |
(fma.f64 c c (*.f64 d d)) |
(*.f64 c c) |
c |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a)) |
(neg.f64 a) |
#s(literal -1 binary64) |
(/.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
a |
(*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c)))) |
(/.f64 (*.f64 b c) (fma.f64 c c (*.f64 d d))) |
b |
(/.f64 c (fma.f64 d d (*.f64 c c))) |
(/.f64 c (fma.f64 c c (*.f64 d d))) |
#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 |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b))) |
#s(literal 1 binary64) |
#s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b)) |
(/.f64 c b) |
c |
b |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 (neg.f64 d) a) (fma.f64 c c (*.f64 d d)))) |
(*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a)) |
(/.f64 (*.f64 (neg.f64 d) a) (fma.f64 c c (*.f64 d d))) |
(/.f64 d (fma.f64 c c (*.f64 d d))) |
d |
(fma.f64 c c (*.f64 d d)) |
c |
(*.f64 d d) |
(neg.f64 a) |
a |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) |
(/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) |
(fma.f64 (/.f64 c d) b (neg.f64 a)) |
(/.f64 c d) |
c |
d |
b |
(neg.f64 a) |
a |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (neg.f64 a) | |
| accuracy | 0.3180963290896058 | (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) | |
| accuracy | 3.4025313308447958 | (fma.f64 (/.f64 c d) b (neg.f64 a)) | |
| accuracy | 29.48198035234564 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) | |
| accuracy | 0 | (neg.f64 a) | |
| accuracy | 4.346613328495954 | (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a)) | |
| accuracy | 19.325292281024613 | (/.f64 d (fma.f64 c c (*.f64 d d))) | |
| accuracy | 28.46788376060455 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a))) | |
| accuracy | 0 | (/.f64 c b) | |
| accuracy | 0.7800020869753072 | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b))) | |
| accuracy | 36.22971135347216 | #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b)) | |
| accuracy | 0 | (/.f64 (neg.f64 a) d) | |
| accuracy | 0 | (neg.f64 a) | |
| accuracy | 37.9687192050354 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) | |
| accuracy | 1.526442780629786 | (fma.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a)) (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c))))) | |
| accuracy | 4.476093344751866 | (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c)))) | |
| accuracy | 17.414902351536533 | (/.f64 c (fma.f64 d d (*.f64 c c))) | |
| accuracy | 19.325292281024613 | (/.f64 d (fma.f64 d d (*.f64 c c))) |
| 83.0ms | 256× | 0 | valid |
Compiled 238 to 37 computations (84.5% saved)
ival-div: 22.0ms (46.1% of total)ival-mult: 14.0ms (29.3% of total)ival-add: 8.0ms (16.8% of total)ival-neg: 2.0ms (4.2% of total)ival-sub: 1.0ms (2.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a)) (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c))))) (patch (fma.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a)) (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c))))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a)) (patch (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a)) #<representation binary64>) () ()) |
#s(alt (/.f64 d (fma.f64 d d (*.f64 c c))) (patch (/.f64 d (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 #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 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b)) (patch #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b)) #<representation binary64>) () ()) |
#s(alt (/.f64 c b) (patch (/.f64 c b) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a)) (patch (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (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 (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) (patch (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 c d) b (neg.f64 a)) (patch (fma.f64 (/.f64 c d) b (neg.f64 a)) #<representation binary64>) () ()) |
#s(alt (/.f64 c d) (patch (/.f64 c d) #<representation binary64>) () ()) |
#s(alt (/.f64 c (fma.f64 d d (*.f64 c c))) (patch (/.f64 c (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ()) |
#s(alt (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c)))) (patch (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt (fma.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a)) (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c))))) (patch (fma.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a)) (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt (fma.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a)) (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c))))) (patch (fma.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a)) (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) (taylor 0 c) (#s(alt (fma.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a)) (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c))))) (patch (fma.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a)) (*.f64 b (/.f64 c (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 d (fma.f64 d d (*.f64 c c))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a)) (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c))))) (patch (fma.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a)) (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 d) (taylor 0 c) (#s(alt (/.f64 d (fma.f64 d d (*.f64 c c))) (patch (/.f64 d (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d)) (taylor 0 c) (#s(alt (/.f64 d (fma.f64 d d (*.f64 c c))) (patch (/.f64 d (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow c 2) (- (/ (pow c 2) (pow d 5)) (/ 1 (pow d 3)))) (/ 1 d)) (taylor 0 c) (#s(alt (/.f64 d (fma.f64 d d (*.f64 c c))) (patch (/.f64 d (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 7))) (/ 1 (pow d 5)))) (/ 1 (pow d 3)))) (/ 1 d)) (taylor 0 c) (#s(alt (/.f64 d (fma.f64 d d (*.f64 c c))) (patch (/.f64 d (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (pow d 2) (taylor 0 c) (#s(alt (fma.f64 d d (*.f64 c c)) (patch (fma.f64 d d (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (fma.f64 d d (*.f64 c c)) (patch (fma.f64 d d (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (fma.f64 d d (*.f64 c c)) (patch (fma.f64 d d (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#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 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 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ d a)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b)) (patch #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ d a)) (* -1 (/ (* b c) (pow a 2)))) (taylor 0 c) (#s(alt #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b)) (patch #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ d a)) (* c (- (* -1 (* c (+ (/ 1 (* a d)) (/ (pow b 2) (* (pow a 3) d))))) (/ b (pow a 2))))) (taylor 0 c) (#s(alt #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b)) (patch #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ d a)) (* c (- (* c (- (* -1 (/ (* b (* c (+ (/ 1 (* a d)) (/ (pow b 2) (* (pow a 3) d))))) (* a d))) (+ (/ 1 (* a d)) (/ (pow b 2) (* (pow a 3) d))))) (/ b (pow a 2))))) (taylor 0 c) (#s(alt #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b)) (patch #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b)) #<representation binary64>) () ())) ()) |
#s(alt (/ c b) (taylor 0 c) (#s(alt (/.f64 c b) (patch (/.f64 c b) #<representation binary64>) () ())) ()) |
#s(alt (/ c b) (taylor 0 c) (#s(alt (/.f64 c b) (patch (/.f64 c b) #<representation binary64>) () ())) ()) |
#s(alt (/ c b) (taylor 0 c) (#s(alt (/.f64 c b) (patch (/.f64 c b) #<representation binary64>) () ())) ()) |
#s(alt (/ c b) (taylor 0 c) (#s(alt (/.f64 c b) (patch (/.f64 c b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a))) #<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 d (fma.f64 c c (*.f64 d d))) (neg.f64 a))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a))) #<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 d (fma.f64 c c (*.f64 d d))) (neg.f64 a))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a))) #<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 d (fma.f64 c c (*.f64 d d))) (neg.f64 a))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a)) (patch (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* a (pow c 2)) (pow d 3))) (taylor 0 c) (#s(alt (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a)) (patch (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* (pow c 2) (+ (* -1 (/ (* a (pow c 2)) (pow d 5))) (/ a (pow d 3))))) (taylor 0 c) (#s(alt (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a)) (patch (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* (pow c 2) (+ (* (pow c 2) (+ (* -1 (/ a (pow d 5))) (/ (* a (pow c 2)) (pow d 7)))) (/ a (pow d 3))))) (taylor 0 c) (#s(alt (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a)) (patch (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 d) (taylor 0 c) (#s(alt (/.f64 d (fma.f64 c c (*.f64 d d))) (patch (/.f64 d (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d)) (taylor 0 c) (#s(alt (/.f64 d (fma.f64 c c (*.f64 d d))) (patch (/.f64 d (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow c 2) (- (/ (pow c 2) (pow d 5)) (/ 1 (pow d 3)))) (/ 1 d)) (taylor 0 c) (#s(alt (/.f64 d (fma.f64 c c (*.f64 d d))) (patch (/.f64 d (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 7))) (/ 1 (pow d 5)))) (/ 1 (pow d 3)))) (/ 1 d)) (taylor 0 c) (#s(alt (/.f64 d (fma.f64 c c (*.f64 d d))) (patch (/.f64 d (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (pow d 2) (taylor 0 c) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* d (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* b (* c (- (/ (pow c 2) a) (* -1 (/ (* (pow b 2) (pow c 2)) (pow a 3)))))) (* a d)) (/ (pow c 2) a)) (* -1 (/ (* (pow b 2) (pow c 2)) (pow a 3)))) d)) (/ (* b c) (pow a 2))) d)) (/ 1 a)))) (taylor -inf d) (#s(alt #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b)) (patch #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor -inf d) (#s(alt (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a)) (patch (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (* a (pow c 2)) (pow d 2)))) d)) (taylor -inf d) (#s(alt (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a)) (patch (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a)) #<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 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a)) (patch (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a)) #<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 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a)) (patch (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 d) (taylor -inf d) (#s(alt (/.f64 d (fma.f64 c c (*.f64 d d))) (patch (/.f64 d (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (/ (pow c 2) (pow d 2)) 1) d)) (taylor -inf d) (#s(alt (/.f64 d (fma.f64 c c (*.f64 d d))) (patch (/.f64 d (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (pow c 4) (pow d 4))) (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) d)) (taylor -inf d) (#s(alt (/.f64 d (fma.f64 c c (*.f64 d d))) (patch (/.f64 d (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (/ (pow c 6) (pow d 6)) (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (pow c 4) (pow d 4))))) d)) (taylor -inf d) (#s(alt (/.f64 d (fma.f64 c c (*.f64 d d))) (patch (/.f64 d (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (pow d 2) (taylor -inf d) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -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 (/.f64 c d) b (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -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 (/.f64 c d) b (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor -inf d) (#s(alt (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) (patch (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) (taylor -inf d) (#s(alt (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) (patch (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) (taylor -inf d) (#s(alt (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) (patch (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) (taylor -inf d) (#s(alt (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) (patch (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 a) (taylor -inf d) (#s(alt (fma.f64 (/.f64 c d) b (neg.f64 a)) (patch (fma.f64 (/.f64 c d) b (neg.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ (* b c) d) a) (taylor -inf d) (#s(alt (fma.f64 (/.f64 c d) b (neg.f64 a)) (patch (fma.f64 (/.f64 c d) b (neg.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ (* b c) d) a) (taylor -inf d) (#s(alt (fma.f64 (/.f64 c d) b (neg.f64 a)) (patch (fma.f64 (/.f64 c d) b (neg.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ (* b c) d) a) (taylor -inf d) (#s(alt (fma.f64 (/.f64 c d) b (neg.f64 a)) (patch (fma.f64 (/.f64 c d) b (neg.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (/ c d) (taylor -inf d) (#s(alt (/.f64 c d) (patch (/.f64 c d) #<representation binary64>) () ())) ()) |
#s(alt (/ c d) (taylor -inf d) (#s(alt (/.f64 c d) (patch (/.f64 c d) #<representation binary64>) () ())) ()) |
#s(alt (/ c d) (taylor -inf d) (#s(alt (/.f64 c d) (patch (/.f64 c d) #<representation binary64>) () ())) ()) |
#s(alt (/ c d) (taylor -inf d) (#s(alt (/.f64 c d) (patch (/.f64 c d) #<representation binary64>) () ())) ()) |
#s(alt (/ c (pow d 2)) (taylor -inf d) (#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 3) (pow d 2)))) (pow d 2)) (taylor -inf d) (#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 (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2))) (pow d 2)) (taylor -inf d) (#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 7) (pow d 6)))) (+ (* -1 (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2)))) (pow d 2)) (taylor -inf d) (#s(alt (/.f64 c (fma.f64 d d (*.f64 c c))) (patch (/.f64 c (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) (pow d 2)) (taylor -inf d) (#s(alt (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c)))) (patch (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (/ (* b (pow c 3)) (pow d 2))) (* b c)) (pow d 2)) (taylor -inf d) (#s(alt (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c)))) (patch (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* b c) (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2))) (pow d 2)) (taylor -inf d) (#s(alt (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c)))) (patch (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* -1 (/ (* b (pow c 7)) (pow d 6))) (* b c)) (+ (* -1 (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2)))) (pow d 2)) (taylor -inf d) (#s(alt (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c)))) (patch (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | c | @ | inf | ((+ (* (/ d (+ (* d d) (* c c))) (/ -1 (/ 1 a))) (* b (/ c (+ (* d d) (* c c))))) (/ -1 (/ 1 a)) (/ d (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (neg a) d) (neg a) (/ 1 (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c)))) (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/ c b) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (/ d (+ (* c c) (* d d))) (neg a)) (/ d (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) b) (neg a)) d) (+ (* (/ c d) b) (neg a)) (/ c d) (/ c (+ (* d d) (* c c))) (* b (/ c (+ (* d d) (* c c))))) |
| 3.0ms | a | @ | inf | ((+ (* (/ d (+ (* d d) (* c c))) (/ -1 (/ 1 a))) (* b (/ c (+ (* d d) (* c c))))) (/ -1 (/ 1 a)) (/ d (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (neg a) d) (neg a) (/ 1 (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c)))) (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/ c b) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (/ d (+ (* c c) (* d d))) (neg a)) (/ d (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) b) (neg a)) d) (+ (* (/ c d) b) (neg a)) (/ c d) (/ c (+ (* d d) (* c c))) (* b (/ c (+ (* d d) (* c c))))) |
| 3.0ms | d | @ | -inf | ((+ (* (/ d (+ (* d d) (* c c))) (/ -1 (/ 1 a))) (* b (/ c (+ (* d d) (* c c))))) (/ -1 (/ 1 a)) (/ d (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (neg a) d) (neg a) (/ 1 (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c)))) (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/ c b) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (/ d (+ (* c c) (* d d))) (neg a)) (/ d (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) b) (neg a)) d) (+ (* (/ c d) b) (neg a)) (/ c d) (/ c (+ (* d d) (* c c))) (* b (/ c (+ (* d d) (* c c))))) |
| 2.0ms | b | @ | -inf | ((+ (* (/ d (+ (* d d) (* c c))) (/ -1 (/ 1 a))) (* b (/ c (+ (* d d) (* c c))))) (/ -1 (/ 1 a)) (/ d (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (neg a) d) (neg a) (/ 1 (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c)))) (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/ c b) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (/ d (+ (* c c) (* d d))) (neg a)) (/ d (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) b) (neg a)) d) (+ (* (/ c d) b) (neg a)) (/ c d) (/ c (+ (* d d) (* c c))) (* b (/ c (+ (* d d) (* c c))))) |
| 2.0ms | c | @ | -inf | ((+ (* (/ d (+ (* d d) (* c c))) (/ -1 (/ 1 a))) (* b (/ c (+ (* d d) (* c c))))) (/ -1 (/ 1 a)) (/ d (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (neg a) d) (neg a) (/ 1 (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c)))) (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/ c b) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (/ d (+ (* c c) (* d d))) (neg a)) (/ d (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) b) (neg a)) d) (+ (* (/ c d) b) (neg a)) (/ c d) (/ c (+ (* d d) (* c c))) (* b (/ c (+ (* d d) (* c c))))) |
| 1× | egg-herbie |
| 7 242× | lower-fma.f64 |
| 7 242× | lower-fma.f32 |
| 7 068× | lower-*.f64 |
| 7 068× | lower-*.f32 |
| 3 530× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 868 | 10539 |
| 1 | 2847 | 10130 |
| 0 | 8288 | 9650 |
| 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))))) |
(/ 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)) |
(pow d 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (* 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 (/ d a)) |
(+ (* -1 (/ d a)) (* -1 (/ (* b c) (pow a 2)))) |
(+ (* -1 (/ d a)) (* c (- (* -1 (* c (+ (/ 1 (* a d)) (/ (pow b 2) (* (pow a 3) d))))) (/ b (pow a 2))))) |
(+ (* -1 (/ d a)) (* c (- (* c (- (* -1 (/ (* b (* c (+ (/ 1 (* a d)) (/ (pow b 2) (* (pow a 3) d))))) (* a d))) (+ (/ 1 (* a d)) (/ (pow b 2) (* (pow a 3) d))))) (/ b (pow a 2))))) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(* -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)) |
(pow d 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(* -1 a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ 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)))) |
(/ (* 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 (* -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) |
(/ 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)) |
(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) |
(/ (+ 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) |
(/ c b) |
(* c (+ (/ 1 b) (/ (* a d) (* (pow b 2) c)))) |
(* c (- (+ (/ 1 b) (/ (pow d 2) (* b (pow c 2)))) (+ (* -1 (/ (* a d) (* (pow b 2) c))) (* -1 (/ (* (pow a 2) (pow d 2)) (* (pow b 3) (pow c 2))))))) |
(* c (- (+ (/ 1 b) (+ (/ (* a (* d (- (/ (pow d 2) b) (* -1 (/ (* (pow a 2) (pow d 2)) (pow b 3)))))) (* b (pow c 3))) (/ (pow d 2) (* b (pow c 2))))) (+ (* -1 (/ (* a d) (* (pow b 2) c))) (* -1 (/ (* (pow a 2) (pow d 2)) (* (pow b 3) (pow c 2))))))) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ 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)) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(/ (* b c) (pow d 2)) |
(* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2)))) |
(* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2)))) |
(* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2)))) |
(/ (* b c) d) |
(* c (+ (* -1 (/ a c)) (/ b d))) |
(* c (+ (* -1 (/ a c)) (/ b d))) |
(* c (+ (* -1 (/ a c)) (/ b d))) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ 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) |
(/ 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) |
(* -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)) |
(/ 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)) |
(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 (/ (+ (* -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)) |
(/ c b) |
(* -1 (* c (- (* -1 (/ (* a d) (* (pow b 2) c))) (/ 1 b)))) |
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow d 2) b)) (/ (* (pow a 2) (pow d 2)) (pow b 3))) c)) (* -1 (/ (* a d) (pow b 2)))) c)) (/ 1 b)))) |
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow d 2) b)) (/ (* a (* d (- (* -1 (/ (pow d 2) b)) (/ (* (pow a 2) (pow d 2)) (pow b 3))))) (* b c))) (/ (* (pow a 2) (pow d 2)) (pow b 3))) c)) (* -1 (/ (* a d) (pow b 2)))) c)) (/ 1 b)))) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ 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)) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) |
(/ (* b c) (pow d 2)) |
(* -1 (* c (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))) |
(* -1 (* c (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))) |
(* -1 (* c (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))) |
(/ (* b c) d) |
(* -1 (* c (+ (* -1 (/ b d)) (/ a c)))) |
(* -1 (* c (+ (* -1 (/ b d)) (/ a c)))) |
(* -1 (* c (+ (* -1 (/ b d)) (/ a c)))) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ 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)) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* b (pow d 2)) (pow c 2))) c)) |
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2)))) c)) |
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (+ (/ (* b (pow d 2)) (pow c 2)) (/ (* b (pow d 6)) (pow c 6))))) c)) |
(* -1 (/ (* 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)))) |
(* -1 (/ (+ (pow c 2) (pow d 2)) (* a d))) |
(+ (* -1 (/ (* b (* c (+ (pow c 2) (pow d 2)))) (* (pow a 2) (pow d 2)))) (* -1 (/ (+ (pow c 2) (pow d 2)) (* a d)))) |
(+ (* -1 (/ (+ (pow c 2) (pow d 2)) (* a d))) (* b (- (* -1 (/ (* b (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* (pow a 3) (pow d 3)))) (/ (* c (+ (pow c 2) (pow d 2))) (* (pow a 2) (pow d 2)))))) |
(+ (* -1 (/ (+ (pow c 2) (pow d 2)) (* a d))) (* b (- (* b (- (* -1 (/ (* b (* (pow c 3) (+ (pow c 2) (pow d 2)))) (* (pow a 4) (pow d 4)))) (/ (* (pow c 2) (+ (pow c 2) (pow d 2))) (* (pow a 3) (pow d 3))))) (/ (* c (+ (pow c 2) (pow d 2))) (* (pow a 2) (pow d 2)))))) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c 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)))) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(* -1 a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -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))))) |
(/ (+ (pow c 2) (pow d 2)) (* b c)) |
(/ (+ c (+ (/ (* a (* d (+ (pow c 2) (pow d 2)))) (* b (pow c 2))) (/ (pow d 2) c))) b) |
(/ (- (+ c (+ (/ (* (pow a 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* (pow b 2) (pow c 3))) (/ (pow d 2) c))) (* -1 (/ (* a (* d (+ (pow c 2) (pow d 2)))) (* b (pow c 2))))) b) |
(/ (- (+ c (+ (/ (* (pow a 3) (* (pow d 3) (+ (pow c 2) (pow d 2)))) (* (pow b 3) (pow c 4))) (/ (pow d 2) c))) (+ (* -1 (/ (* a (* d (+ (pow c 2) (pow d 2)))) (* b (pow c 2)))) (* -1 (/ (* (pow a 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* (pow b 2) (pow c 3)))))) b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c 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 d 2)) |
(* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2)))) |
(* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2)))) |
(* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2)))) |
(/ (* b c) d) |
(* b (+ (* -1 (/ a b)) (/ c d))) |
(* b (+ (* -1 (/ a b)) (/ c d))) |
(* b (+ (* -1 (/ a b)) (/ c d))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* -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))))))) |
(/ (+ (pow c 2) (pow d 2)) (* b c)) |
(* -1 (/ (+ (* -1 (/ (* a (* d (+ (pow c 2) (pow d 2)))) (* b (pow c 2)))) (* -1 (/ (+ (pow c 2) (pow d 2)) c))) b)) |
(* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) c)) (* -1 (/ (- (/ (* (pow a 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* b (pow c 3))) (* -1 (/ (* a (* d (+ (pow c 2) (pow d 2)))) (pow c 2)))) b))) b)) |
(* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) c)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow a 3) (* (pow d 3) (+ (pow c 2) (pow d 2)))) (* b (pow c 4)))) (/ (* (pow a 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (pow c 3))) b)) (* -1 (/ (* a (* d (+ (pow c 2) (pow d 2)))) (pow c 2)))) b))) b)) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c 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 d 2)) |
(* -1 (* b (+ (* -1 (/ c (pow d 2))) (/ a (* b d))))) |
(* -1 (* b (+ (* -1 (/ c (pow d 2))) (/ a (* b d))))) |
(* -1 (* b (+ (* -1 (/ c (pow d 2))) (/ a (* b d))))) |
(/ (* b c) d) |
(* -1 (* b (+ (* -1 (/ c d)) (/ a b)))) |
(* -1 (* b (+ (* -1 (/ c d)) (/ a b)))) |
(* -1 (* b (+ (* -1 (/ c d)) (/ a b)))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* 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) |
(* -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)))) |
(* -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)))) |
(/ (+ (pow c 2) (pow d 2)) (* b c)) |
(+ (/ c b) (+ (/ (* a (* d (+ (pow c 2) (pow d 2)))) (* (pow b 2) (pow c 2))) (/ (pow d 2) (* b c)))) |
(+ (* a (- (/ (* a (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* (pow b 3) (pow c 3))) (* -1 (/ (* d (+ (pow c 2) (pow d 2))) (* (pow b 2) (pow c 2)))))) (+ (/ c b) (/ (pow d 2) (* b c)))) |
(+ (* a (- (* a (- (/ (* a (* (pow d 3) (+ (pow c 2) (pow d 2)))) (* (pow b 4) (pow c 4))) (* -1 (/ (* (pow d 2) (+ (pow c 2) (pow d 2))) (* (pow b 3) (pow c 3)))))) (* -1 (/ (* d (+ (pow c 2) (pow d 2))) (* (pow b 2) (pow c 2)))))) (+ (/ c b) (/ (pow d 2) (* 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)))) |
(* -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)))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(/ (* b c) (pow d 2)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/ (* b c) d) |
(+ (* -1 a) (/ (* b c) d)) |
(+ (* -1 a) (/ (* b c) d)) |
(+ (* -1 a) (/ (* b c) d)) |
(* -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) |
(* -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)) |
(* -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 (/ (+ (pow c 2) (pow d 2)) (* a d))) |
(/ (+ (* -1 (/ (* b (* c (+ (pow c 2) (pow d 2)))) (* a (pow d 2)))) (* -1 (/ (+ (pow c 2) (pow d 2)) d))) a) |
(/ (- (+ (* -1 (/ (* (pow b 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* (pow a 2) (pow d 3)))) (* -1 (/ (+ (pow c 2) (pow d 2)) d))) (/ (* b (* c (+ (pow c 2) (pow d 2)))) (* a (pow d 2)))) a) |
(/ (- (+ (* -1 (/ (* (pow b 3) (* (pow c 3) (+ (pow c 2) (pow d 2)))) (* (pow a 3) (pow d 4)))) (* -1 (/ (+ (pow c 2) (pow d 2)) d))) (+ (/ (* b (* c (+ (pow c 2) (pow d 2)))) (* a (pow d 2))) (/ (* (pow b 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* (pow a 2) (pow d 3))))) 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)))) |
(* -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 (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ a d)) |
(* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d))) |
(* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d))) |
(* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d))) |
(* -1 a) |
(* a (- (/ (* b c) (* a d)) 1)) |
(* a (- (/ (* b c) (* a d)) 1)) |
(* a (- (/ (* b c) (* a d)) 1)) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -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) |
(* -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)) |
(* -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 (/ (+ (pow c 2) (pow d 2)) (* a d))) |
(* -1 (/ (+ d (+ (/ (* b (* c (+ (pow c 2) (pow d 2)))) (* a (pow d 2))) (/ (pow c 2) d))) a)) |
(* -1 (/ (+ d (+ (* -1 (/ (- (* -1 (/ (* (pow b 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* a (pow d 3)))) (/ (* b (* c (+ (pow c 2) (pow d 2)))) (pow d 2))) a)) (/ (pow c 2) d))) a)) |
(* -1 (/ (+ d (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (* (pow c 3) (+ (pow c 2) (pow d 2)))) (* a (pow d 4))) (* -1 (/ (* (pow b 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (pow d 3)))) a)) (/ (* b (* c (+ (pow c 2) (pow d 2)))) (pow d 2))) a)) (/ (pow c 2) d))) 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 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 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ a d)) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (/ 1 d)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (/ 1 d)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (/ 1 d)))) |
(* -1 a) |
(* -1 (* a (+ 1 (* -1 (/ (* b c) (* a d)))))) |
(* -1 (* a (+ 1 (* -1 (/ (* b c) (* a d)))))) |
(* -1 (* a (+ 1 (* -1 (/ (* b c) (* a d)))))) |
(/ 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)) |
(/ 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)))) |
(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)) |
(* -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)) |
(/ c b) |
(+ (/ c b) (/ (* a d) (pow b 2))) |
(+ (* d (- (* d (- (/ 1 (* b c)) (* -1 (/ (pow a 2) (* (pow b 3) c))))) (* -1 (/ a (pow b 2))))) (/ c b)) |
(+ (* d (- (* d (- (+ (/ 1 (* b c)) (/ (* a (* d (- (/ 1 (* b c)) (* -1 (/ (pow a 2) (* (pow b 3) c)))))) (* b c))) (* -1 (/ (pow a 2) (* (pow b 3) c))))) (* -1 (/ a (pow b 2))))) (/ c b)) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(* -1 (/ (* 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)))) |
(pow c 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(/ (* b c) (pow d 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow d 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow d 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow d 2)) |
(/ (* b c) d) |
(/ (+ (* -1 (* a d)) (* b c)) d) |
(/ (+ (* -1 (* a d)) (* b c)) d) |
(/ (+ (* -1 (* a d)) (* b c)) d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ 1 c) |
(+ (* -1 (/ (pow d 2) (pow c 3))) (/ 1 c)) |
(+ (* (pow d 2) (- (/ (pow d 2) (pow c 5)) (/ 1 (pow c 3)))) (/ 1 c)) |
(+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 7))) (/ 1 (pow c 5)))) (/ 1 (pow c 3)))) (/ 1 c)) |
(/ b c) |
(+ (* -1 (/ (* b (pow d 2)) (pow c 3))) (/ b c)) |
(+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 5)) (/ b (pow c 3)))) (/ b c)) |
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 7))) (* -1 (/ b (pow c 5))))) (/ b (pow c 3)))) (/ b c)) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d)))) d) |
(/ 1 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) |
(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 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 a)) |
(* d (- (* -1 (/ (* b c) (* (pow a 2) d))) (/ 1 a))) |
(* d (- (* -1 (/ (pow c 2) (* a (pow d 2)))) (+ (/ 1 a) (+ (/ (* b c) (* (pow a 2) d)) (/ (* (pow b 2) (pow c 2)) (* (pow a 3) (pow d 2))))))) |
(* d (- (+ (* -1 (/ (pow c 2) (* a (pow d 2)))) (/ (* b (* c (- (* -1 (/ (pow c 2) a)) (/ (* (pow b 2) (pow c 2)) (pow a 3))))) (* a (pow d 3)))) (+ (/ 1 a) (+ (/ (* b c) (* (pow a 2) d)) (/ (* (pow b 2) (pow c 2)) (* (pow a 3) (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) (/ (* 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) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(* -1 a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c 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)) |
(/ (* 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)) |
(* -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 (/ (- (/ (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)) |
(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 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 a)) |
(* -1 (* d (+ (/ 1 a) (/ (* b c) (* (pow a 2) d))))) |
(* -1 (* d (+ (* -1 (/ (- (* -1 (/ (- (/ (pow c 2) a) (* -1 (/ (* (pow b 2) (pow c 2)) (pow a 3)))) d)) (/ (* b c) (pow a 2))) d)) (/ 1 a)))) |
(* -1 (* d (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* b (* c (- (/ (pow c 2) a) (* -1 (/ (* (pow b 2) (pow c 2)) (pow a 3)))))) (* a d)) (/ (pow c 2) a)) (* -1 (/ (* (pow b 2) (pow c 2)) (pow a 3)))) d)) (/ (* b c) (pow a 2))) d)) (/ 1 a)))) |
(* -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)) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c 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)) |
(/ (* 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)) |
| Outputs |
|---|
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(fma.f64 c (/.f64 b (*.f64 d d)) (/.f64 (neg.f64 a) d)) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(fma.f64 (fma.f64 c (/.f64 a (*.f64 (*.f64 d d) d)) (/.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))))) |
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(/.f64 (+.f64 a (*.f64 a (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (*.f64 (*.f64 d d) d) d)) (/.f64 (*.f64 c c) (*.f64 d d))))) (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 (-.f64 (fma.f64 (neg.f64 a) (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) a) (fma.f64 (neg.f64 a) (/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (*.f64 (*.f64 d d) d) d)) (/.f64 (*.f64 (*.f64 c c) a) (*.f64 d d)))) (neg.f64 d)) |
(/ 1 d) |
(/.f64 #s(literal 1 binary64) d) |
(* -1 (/ (- (/ (pow c 2) (pow d 2)) 1) d)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) (*.f64 d d))) d) |
(* -1 (/ (- (* -1 (/ (pow c 4) (pow d 4))) (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) d)) |
(/.f64 (-.f64 (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 (*.f64 (*.f64 d d) d) d)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 c c) (*.f64 d d)))) (neg.f64 d)) |
(* -1 (/ (- (/ (pow c 6) (pow d 6)) (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (pow c 4) (pow d 4))))) d)) |
(/.f64 (-.f64 (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (-.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) c) (*.f64 (*.f64 (*.f64 d d) d) d)) #s(literal 1 binary64)) (/.f64 (*.f64 c c) (*.f64 d d)))) (neg.f64 d)) |
(pow d 2) |
(*.f64 d d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (+.f64 (/.f64 (*.f64 c c) (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (+.f64 (/.f64 (*.f64 c c) (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (+.f64 (/.f64 (*.f64 c c) (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d)) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (fma.f64 (neg.f64 b) (/.f64 c d) a) (neg.f64 d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 c b (*.f64 a (/.f64 (*.f64 c c) 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 b (/.f64 (*.f64 (*.f64 c c) c) d) (*.f64 (*.f64 (neg.f64 c) c) a)) (neg.f64 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 b) (/.f64 c d) a) (neg.f64 d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (fma.f64 (neg.f64 b) (/.f64 c d) a) (neg.f64 d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (fma.f64 (neg.f64 b) (/.f64 c d) a) (neg.f64 d)) |
(* -1 a) |
(neg.f64 a) |
(- (/ (* b c) d) a) |
(fma.f64 c (/.f64 b d) (neg.f64 a)) |
(- (/ (* b c) d) a) |
(fma.f64 c (/.f64 b d) (neg.f64 a)) |
(- (/ (* b c) d) a) |
(fma.f64 c (/.f64 b d) (neg.f64 a)) |
(/ c d) |
(/.f64 c d) |
(/ c d) |
(/.f64 c d) |
(/ c d) |
(/.f64 c d) |
(/ c d) |
(/.f64 c d) |
(/ c (pow d 2)) |
(/.f64 c (*.f64 d d)) |
(/ (+ c (* -1 (/ (pow c 3) (pow d 2)))) (pow d 2)) |
(/.f64 (-.f64 c (/.f64 (*.f64 (*.f64 c c) c) (*.f64 d d))) (*.f64 d d)) |
(/ (- (+ c (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2))) (pow d 2)) |
(/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 d d) d) d)) c) (/.f64 (*.f64 (*.f64 c c) c) (*.f64 d d))) (*.f64 d 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 c (/.f64 (pow.f64 c #s(literal 7 binary64)) (pow.f64 d #s(literal 6 binary64)))) (-.f64 (/.f64 (*.f64 (*.f64 c c) c) (*.f64 d d)) (/.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 d d) d) d)))) (*.f64 d d)) |
(/ (* b c) (pow d 2)) |
(*.f64 c (/.f64 b (*.f64 d d))) |
(/ (+ (* -1 (/ (* b (pow c 3)) (pow d 2))) (* b c)) (pow d 2)) |
(/.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 (*.f64 c c) c) (*.f64 d d)) (*.f64 c b)) (*.f64 d d)) |
(/ (- (+ (* b c) (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2))) (pow d 2)) |
(/.f64 (fma.f64 c b (*.f64 b (-.f64 (/.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 d d) d) d)) (/.f64 (*.f64 (*.f64 c c) c) (*.f64 d d))))) (*.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 (neg.f64 b) (/.f64 (pow.f64 c #s(literal 7 binary64)) (pow.f64 d #s(literal 6 binary64))) (-.f64 (*.f64 c b) (fma.f64 (neg.f64 b) (/.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 (*.f64 d d) d) d)) (/.f64 (*.f64 (*.f64 (*.f64 c c) c) b) (*.f64 d d))))) (*.f64 d d)) |
| 4 996× | lower-*.f32 |
| 4 988× | lower-*.f64 |
| 4 908× | lower-/.f32 |
| 4 890× | lower-/.f64 |
| 3 558× | lower-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 223 |
| 0 | 62 | 215 |
| 1 | 256 | 208 |
| 2 | 2025 | 208 |
| 0 | 8759 | 208 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a)) (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c))))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a)) |
(/.f64 d (fma.f64 d d (*.f64 c c))) |
(fma.f64 d d (*.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) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b))) |
#s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b)) |
(/.f64 c b) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a))) |
(*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a)) |
(/.f64 d (fma.f64 c c (*.f64 d d))) |
(fma.f64 c c (*.f64 d d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) |
(/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) |
(fma.f64 (/.f64 c d) b (neg.f64 a)) |
(/.f64 c d) |
(/.f64 c (fma.f64 d d (*.f64 c c))) |
(*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c)))) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (fma.f64 b c (*.f64 a d)) (fma.f64 (neg.f64 d) a (*.f64 b c)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b c (*.f64 a d)))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 c c (*.f64 d d)) (-.f64 (*.f64 (*.f64 (*.f64 a d) a) d) (*.f64 (*.f64 (*.f64 b c) b) c))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 d) a (*.f64 (neg.f64 b) c)))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 (*.f64 (*.f64 (*.f64 b c) b) c) (*.f64 b c) (*.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 a a) a)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 b c) b) c (*.f64 (*.f64 a d) (fma.f64 b c (*.f64 a d)))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 (*.f64 (*.f64 (*.f64 b c) b) c) (*.f64 b c) (*.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 a a) a)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 a d) a) d (*.f64 (*.f64 b c) (-.f64 (*.f64 b c) (*.f64 (neg.f64 d) a)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 c c (*.f64 d d))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 d) a (*.f64 b c))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) (*.f64 (+.f64 c d) (-.f64 c d))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 d c) (-.f64 d c)))) (*.f64 (+.f64 d c) (-.f64 d c))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c)))) (fma.f64 (*.f64 (*.f64 c c) c) c (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c))))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c)))) (fma.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 (*.f64 (*.f64 d d) d) d))) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 c c (*.f64 d d)))) (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 c c (*.f64 d d)))) (neg.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)))) |
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a d) a) d) (*.f64 (*.f64 (*.f64 b c) b) c)) (*.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 c c (*.f64 d d)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 d) a (*.f64 (neg.f64 b) c)) (fma.f64 c c (*.f64 d d))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 d) a (*.f64 b c))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) (fma.f64 (neg.f64 d) a (*.f64 b c))) |
(*.f64 (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 b c) (-.f64 (*.f64 b c) (*.f64 (neg.f64 d) a))) (*.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 c c (*.f64 d d)))) (/.f64 (*.f64 (*.f64 (*.f64 a d) a) d) (*.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 c c (*.f64 d d))))) (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 c c (*.f64 d d)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (*.f64 b c) (-.f64 (*.f64 b c) (*.f64 (neg.f64 d) a))) (*.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 c c (*.f64 d d)))) (/.f64 (*.f64 (*.f64 (*.f64 a d) a) d) (*.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 c c (*.f64 d d))))))) |
(*.f64 (neg.f64 (fma.f64 (neg.f64 d) a (*.f64 b c))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 c c (*.f64 d d))))) |
(*.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 c c (*.f64 d d)))) |
(pow.f64 (/.f64 (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 (neg.f64 d) a (*.f64 b c))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 d) a (*.f64 (neg.f64 b) c)) (fma.f64 c c (*.f64 d d))) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a d) a) d) (*.f64 (*.f64 (*.f64 b c) b) c)) (*.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 c c (*.f64 d d))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 b c) (-.f64 (*.f64 b c) (*.f64 (neg.f64 d) a))) (*.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 c c (*.f64 d d)))) (/.f64 (*.f64 (*.f64 (*.f64 a d) a) d) (*.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 c c (*.f64 d d))))) (*.f64 (+.f64 (/.f64 (*.f64 (*.f64 b c) (-.f64 (*.f64 b c) (*.f64 (neg.f64 d) a))) (*.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 c c (*.f64 d d)))) (/.f64 (*.f64 (*.f64 (*.f64 a d) a) d) (*.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 c c (*.f64 d d))))) (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 c c (*.f64 d d))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 (neg.f64 d) a (*.f64 b c))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 c c (*.f64 d d))) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 a d) a) d) (*.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 c c (*.f64 d d)))) (/.f64 (fma.f64 (neg.f64 d) a (*.f64 (neg.f64 b) c)) (fma.f64 c c (*.f64 d d)))) (*.f64 (/.f64 (fma.f64 (neg.f64 d) a (*.f64 (neg.f64 b) c)) (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 (*.f64 (*.f64 b c) b) c) (*.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 c c (*.f64 d d)))))) (*.f64 (/.f64 (fma.f64 (neg.f64 d) a (*.f64 (neg.f64 b) c)) (fma.f64 c c (*.f64 d d))) (/.f64 (fma.f64 (neg.f64 d) a (*.f64 (neg.f64 b) c)) (fma.f64 c c (*.f64 d d))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) b) (neg.f64 (fma.f64 c c (*.f64 d d)))) (*.f64 (/.f64 (fma.f64 c c (*.f64 d d)) c) (*.f64 (neg.f64 d) a))) (*.f64 (/.f64 (fma.f64 c c (*.f64 d d)) c) (neg.f64 (fma.f64 c c (*.f64 d d))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) b) (fma.f64 c c (*.f64 d d))) (*.f64 (/.f64 (fma.f64 c c (*.f64 d d)) c) (*.f64 a d))) (*.f64 (/.f64 (fma.f64 c c (*.f64 d d)) c) (fma.f64 c c (*.f64 d d)))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) b) (/.f64 (fma.f64 c c (*.f64 d d)) d)) (*.f64 (/.f64 (fma.f64 c c (*.f64 d d)) c) a)) (*.f64 (/.f64 (fma.f64 c c (*.f64 d d)) c) (/.f64 (fma.f64 c c (*.f64 d d)) d))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) b) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 a d))) (*.f64 (/.f64 (fma.f64 c c (*.f64 d d)) c) #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 c c (*.f64 d d)) c) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 a d)))) |
(/.f64 (-.f64 (*.f64 (*.f64 b (neg.f64 c)) (neg.f64 (fma.f64 c c (*.f64 d d)))) (*.f64 (neg.f64 (fma.f64 c c (*.f64 d d))) (*.f64 (neg.f64 d) a))) (*.f64 (neg.f64 (fma.f64 c c (*.f64 d d))) (neg.f64 (fma.f64 c c (*.f64 d d))))) |
(/.f64 (-.f64 (*.f64 (*.f64 b (neg.f64 c)) (fma.f64 c c (*.f64 d d))) (*.f64 (neg.f64 (fma.f64 c c (*.f64 d d))) (*.f64 a d))) (*.f64 (neg.f64 (fma.f64 c c (*.f64 d d))) (fma.f64 c c (*.f64 d d)))) |
(/.f64 (-.f64 (*.f64 (*.f64 b (neg.f64 c)) (/.f64 (fma.f64 c c (*.f64 d d)) d)) (*.f64 (neg.f64 (fma.f64 c c (*.f64 d d))) a)) (*.f64 (neg.f64 (fma.f64 c c (*.f64 d d))) (/.f64 (fma.f64 c c (*.f64 d d)) d))) |
(/.f64 (-.f64 (*.f64 (*.f64 b (neg.f64 c)) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 a d))) (*.f64 (neg.f64 (fma.f64 c c (*.f64 d d))) #s(literal 1 binary64))) (*.f64 (neg.f64 (fma.f64 c c (*.f64 d d))) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 a d)))) |
(/.f64 (-.f64 (*.f64 (*.f64 b #s(literal 1 binary64)) (neg.f64 (fma.f64 c c (*.f64 d d)))) (*.f64 (/.f64 (fma.f64 c c (*.f64 d d)) c) (*.f64 (neg.f64 d) a))) (*.f64 (/.f64 (fma.f64 c c (*.f64 d d)) c) (neg.f64 (fma.f64 c c (*.f64 d d))))) |
(/.f64 (-.f64 (*.f64 (*.f64 b #s(literal 1 binary64)) (fma.f64 c c (*.f64 d d))) (*.f64 (/.f64 (fma.f64 c c (*.f64 d d)) c) (*.f64 a d))) (*.f64 (/.f64 (fma.f64 c c (*.f64 d d)) c) (fma.f64 c c (*.f64 d d)))) |
(/.f64 (-.f64 (*.f64 (*.f64 b #s(literal 1 binary64)) (/.f64 (fma.f64 c c (*.f64 d d)) d)) (*.f64 (/.f64 (fma.f64 c c (*.f64 d d)) c) a)) (*.f64 (/.f64 (fma.f64 c c (*.f64 d d)) c) (/.f64 (fma.f64 c c (*.f64 d d)) d))) |
(/.f64 (-.f64 (*.f64 (*.f64 b #s(literal 1 binary64)) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 a d))) (*.f64 (/.f64 (fma.f64 c c (*.f64 d d)) c) #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 c c (*.f64 d d)) c) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 a d)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 c) b) (neg.f64 (fma.f64 c c (*.f64 d d)))) (*.f64 (neg.f64 (fma.f64 c c (*.f64 d d))) (*.f64 (neg.f64 d) a))) (*.f64 (neg.f64 (fma.f64 c c (*.f64 d d))) (neg.f64 (fma.f64 c c (*.f64 d d))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 c) b) (fma.f64 c c (*.f64 d d))) (*.f64 (neg.f64 (fma.f64 c c (*.f64 d d))) (*.f64 a d))) (*.f64 (neg.f64 (fma.f64 c c (*.f64 d d))) (fma.f64 c c (*.f64 d d)))) |
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(fma.f64 #s(literal -1 binary64) a (*.f64 (/.f64 c d) b)) |
(fma.f64 c (/.f64 b d) (neg.f64 a)) |
(fma.f64 c (*.f64 (/.f64 #s(literal 1 binary64) d) b) (neg.f64 a)) |
(-.f64 (fma.f64 (/.f64 c d) b #s(literal 0 binary64)) a) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 b c) b) c) (*.f64 d d)) (fma.f64 (/.f64 c d) b a)) (/.f64 (*.f64 a a) (fma.f64 (/.f64 c d) b a))) |
(-.f64 #s(literal 0 binary64) (-.f64 a (*.f64 (/.f64 c d) b))) |
(-.f64 (*.f64 (/.f64 c d) b) a) |
(+.f64 (*.f64 (/.f64 c d) b) (neg.f64 a)) |
(+.f64 (neg.f64 a) (*.f64 (/.f64 c d) b)) |
(*.f64 (/.f64 #s(literal 1 binary64) d) (pow.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) d) c) |
(*.f64 (neg.f64 c) (/.f64 #s(literal 1 binary64) (neg.f64 d))) |
(*.f64 #s(literal 1 binary64) (/.f64 c d)) |
(*.f64 c (/.f64 #s(literal 1 binary64) d)) |
(pow.f64 (/.f64 (/.f64 d c) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 d c) #s(literal -1 binary64)) |
(/.f64 (/.f64 (neg.f64 c) #s(literal -1 binary64)) d) |
(/.f64 (*.f64 c #s(literal 1 binary64)) d) |
(/.f64 (neg.f64 (neg.f64 c)) (neg.f64 (neg.f64 d))) |
(/.f64 (neg.f64 c) (neg.f64 d)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 d c) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 d c)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 d c))) |
(/.f64 c d) |
(neg.f64 (/.f64 (neg.f64 c) d)) |
(neg.f64 (/.f64 c (neg.f64 d))) |
(exp.f64 (*.f64 (log.f64 (/.f64 d c)) #s(literal -1 binary64))) |
(*.f64 (/.f64 c (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) (*.f64 (+.f64 c d) (-.f64 c d))) |
(*.f64 (/.f64 c (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 d c) (-.f64 d c)))) (*.f64 (+.f64 d c) (-.f64 d c))) |
(*.f64 (/.f64 c (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c)))) (fma.f64 (*.f64 (*.f64 c c) c) c (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c))))) |
(*.f64 (/.f64 c (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c)))) (fma.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 (*.f64 (*.f64 d d) d) d))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) (pow.f64 (/.f64 #s(literal 1 binary64) c) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) c) |
(*.f64 (neg.f64 c) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 c c (*.f64 d d))))) |
(*.f64 #s(literal 1 binary64) (/.f64 c (fma.f64 c c (*.f64 d d)))) |
(*.f64 c (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d)))) |
(pow.f64 (/.f64 (/.f64 (fma.f64 c c (*.f64 d d)) c) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 c c (*.f64 d d)) c) #s(literal -1 binary64)) |
(/.f64 (*.f64 c #s(literal 1 binary64)) (fma.f64 c c (*.f64 d d))) |
(/.f64 (neg.f64 (neg.f64 c)) (neg.f64 (neg.f64 (fma.f64 c c (*.f64 d d))))) |
(/.f64 (neg.f64 c) (neg.f64 (fma.f64 c c (*.f64 d d)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 c c (*.f64 d d)) c) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) c)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 c c (*.f64 d d)) c))) |
(/.f64 c (fma.f64 c c (*.f64 d d))) |
(neg.f64 (/.f64 (neg.f64 c) (fma.f64 c c (*.f64 d d)))) |
(neg.f64 (/.f64 c (neg.f64 (fma.f64 c c (*.f64 d d))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 c c (*.f64 d d)) c)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 b c) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) (*.f64 (+.f64 c d) (-.f64 c d))) |
(*.f64 (/.f64 (*.f64 b c) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 d c) (-.f64 d c)))) (*.f64 (+.f64 d c) (-.f64 d c))) |
(*.f64 (/.f64 (*.f64 b c) (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c)))) (fma.f64 (*.f64 (*.f64 c c) c) c (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c))))) |
(*.f64 (/.f64 (*.f64 b c) (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c)))) (fma.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 (*.f64 (*.f64 d d) d) d))) |
(*.f64 (*.f64 b c) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d)))) |
(*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b) |
(*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d)))) |
(*.f64 c (/.f64 b (fma.f64 c c (*.f64 d d)))) |
(*.f64 c (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) b)) |
(pow.f64 (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 b c)) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) b) (/.f64 (fma.f64 c c (*.f64 d d)) c)) |
(/.f64 (*.f64 b (neg.f64 c)) (neg.f64 (fma.f64 c c (*.f64 d d)))) |
(/.f64 (*.f64 b #s(literal 1 binary64)) (/.f64 (fma.f64 c c (*.f64 d d)) c)) |
(/.f64 (*.f64 (neg.f64 c) b) (neg.f64 (fma.f64 c c (*.f64 d d)))) |
(/.f64 (neg.f64 (*.f64 b c)) (neg.f64 (fma.f64 c c (*.f64 d d)))) |
(/.f64 (*.f64 b c) (fma.f64 c c (*.f64 d d))) |
(/.f64 b (/.f64 (fma.f64 c c (*.f64 d d)) c)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 b c))) |
Compiled 49 578 to 3 639 computations (92.7% saved)
26 alts after pruning (21 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 763 | 8 | 1 771 |
| Fresh | 5 | 13 | 18 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 769 | 26 | 1 795 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 60.0% | (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) |
| 30.7% | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| ▶ | 38.6% | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
| 41.4% | (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) (fma.f64 d d (*.f64 c c))) | |
| 18.3% | (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| 31.0% | (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| 40.2% | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 (neg.f64 d) a))) | |
| ✓ | 44.7% | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b))) |
| ▶ | 51.8% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (neg.f64 a) (*.f64 c c)) d (/.f64 b c))) |
| ✓ | 53.1% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) |
| 53.2% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) | |
| 36.7% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (/.f64 #s(literal -1 binary64) a))) | |
| 51.2% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 b c))) a) d)) | |
| 17.8% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) d) (*.f64 (*.f64 d (/.f64 d (*.f64 b c))) a)) (*.f64 (*.f64 d (/.f64 d (*.f64 b c))) d))) | |
| 52.6% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) | |
| ✓ | 40.7% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
| 21.1% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- (/ (* b c) d) a) (/.f64 (*.f64 c b) d)) d)) | |
| ✓ | 45.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
| ✓ | 36.7% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a))) |
| ▶ | 19.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (neg.f64 a))) |
| 40.5% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) d) (neg.f64 a))) | |
| ▶ | 44.9% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b)) |
| 36.6% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) d) (neg.f64 a))) | |
| 35.7% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 d (/.f64 (neg.f64 a) (fma.f64 c c (*.f64 d d))))) | |
| 20.5% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 d) a)) #s(literal -1 binary64)))) | |
| 18.3% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ c d) b) (neg a)) d) (*.f64 c (/.f64 b (*.f64 d d))))) |
Compiled 687 to 401 computations (41.6% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 a) | |
| cost-diff | 0 | (/.f64 (neg.f64 a) (*.f64 c c)) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (neg.f64 a) (*.f64 c c)) d (/.f64 b c))) | |
| cost-diff | 320 | (fma.f64 (/.f64 (neg.f64 a) (*.f64 c c)) d (/.f64 b c)) | |
| 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 c c))) | |
| cost-diff | 0 | #s(approx (+ (* c c) (* d d)) (*.f64 c c)) | |
| cost-diff | 0 | (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| cost-diff | 0 | (*.f64 (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (neg.f64 a)) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (neg.f64 a))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) c) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b)) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) c) b) | |
| cost-diff | 0 | (*.f64 b c) | |
| cost-diff | 0 | (neg.f64 d) | |
| cost-diff | 0 | (fma.f64 (neg.f64 d) a (*.f64 b c)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) |
| 1 848× | lower-fma.f32 |
| 1 842× | lower-fma.f64 |
| 1 272× | lower-*.f32 |
| 1 262× | lower-*.f64 |
| 864× | times-frac |
Useful iterations: 8 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 257 |
| 0 | 51 | 250 |
| 1 | 89 | 244 |
| 2 | 162 | 244 |
| 3 | 323 | 244 |
| 4 | 540 | 244 |
| 5 | 927 | 244 |
| 6 | 1372 | 244 |
| 7 | 2090 | 244 |
| 8 | 3191 | 240 |
| 9 | 3654 | 240 |
| 10 | 3734 | 240 |
| 11 | 3744 | 240 |
| 12 | 3744 | 240 |
| 13 | 3748 | 240 |
| 14 | 3748 | 240 |
| 0 | 3748 | 240 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) |
(fma.f64 (neg.f64 d) a (*.f64 b c)) |
(neg.f64 d) |
d |
a |
(*.f64 b c) |
b |
c |
(fma.f64 d d (*.f64 c c)) |
(*.f64 c c) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b)) |
(*.f64 (/.f64 #s(literal 1 binary64) c) b) |
(/.f64 #s(literal 1 binary64) c) |
#s(literal 1 binary64) |
c |
b |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (neg.f64 a))) |
(*.f64 (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (neg.f64 a)) |
(/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
d |
#s(approx (+ (* c c) (* d d)) (*.f64 c c)) |
(*.f64 c c) |
c |
(neg.f64 a) |
a |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(-.f64 (*.f64 b c) (*.f64 a d)) |
(*.f64 b c) |
b |
c |
(*.f64 a d) |
a |
d |
#s(approx (+ (* c c) (* d d)) (*.f64 c c)) |
(*.f64 c c) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (neg.f64 a) (*.f64 c c)) d (/.f64 b c))) |
(fma.f64 (/.f64 (neg.f64 a) (*.f64 c c)) d (/.f64 b c)) |
(/.f64 (neg.f64 a) (*.f64 c c)) |
(neg.f64 a) |
a |
(*.f64 c c) |
c |
d |
(/.f64 b c) |
b |
| Outputs |
|---|
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) |
(/.f64 (fma.f64 (neg.f64 a) d (*.f64 c b)) (fma.f64 c c (*.f64 d d))) |
(fma.f64 (neg.f64 d) a (*.f64 b c)) |
(fma.f64 (neg.f64 a) d (*.f64 c b)) |
(neg.f64 d) |
d |
a |
(*.f64 b c) |
(*.f64 c b) |
b |
c |
(fma.f64 d d (*.f64 c c)) |
(fma.f64 c c (*.f64 d d)) |
(*.f64 c c) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
(*.f64 (/.f64 #s(literal 1 binary64) c) b) |
(/.f64 b c) |
(/.f64 #s(literal 1 binary64) c) |
#s(literal 1 binary64) |
c |
b |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (neg.f64 a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 (neg.f64 a) d) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))) |
(*.f64 (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (neg.f64 a)) |
(/.f64 (*.f64 (neg.f64 a) d) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
d |
#s(approx (+ (* c c) (* d d)) (*.f64 c c)) |
(*.f64 c c) |
c |
(neg.f64 a) |
a |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (fma.f64 (neg.f64 a) d (*.f64 c b)) #s(approx (+ (* c c) (* 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) |
a |
d |
#s(approx (+ (* c c) (* d d)) (*.f64 c c)) |
(*.f64 c c) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (neg.f64 a) (*.f64 c c)) d (/.f64 b c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) |
(fma.f64 (/.f64 (neg.f64 a) (*.f64 c c)) d (/.f64 b c)) |
(/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c) |
(/.f64 (neg.f64 a) (*.f64 c c)) |
(neg.f64 a) |
a |
(*.f64 c c) |
c |
d |
(/.f64 b c) |
b |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (neg.f64 a) | |
| accuracy | 5.208181955605498 | (fma.f64 (/.f64 (neg.f64 a) (*.f64 c c)) d (/.f64 b c)) | |
| accuracy | 7.4114938051687185 | (/.f64 (neg.f64 a) (*.f64 c c)) | |
| accuracy | 28.788255486407714 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (neg.f64 a) (*.f64 c c)) d (/.f64 b c))) | |
| accuracy | 0 | (*.f64 a d) | |
| accuracy | 0.6093750000000001 | (-.f64 (*.f64 b c) (*.f64 a d)) | |
| accuracy | 25.430562251522243 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| accuracy | 26.296914629273882 | #s(approx (+ (* c c) (* d d)) (*.f64 c c)) | |
| accuracy | 4.346613328495954 | (*.f64 (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (neg.f64 a)) | |
| accuracy | 19.325292281024613 | (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| accuracy | 26.296914629273882 | #s(approx (+ (* c c) (* d d)) (*.f64 c c)) | |
| accuracy | 28.46788376060455 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (neg.f64 a))) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) c) | |
| accuracy | 0.19140625 | (*.f64 (/.f64 #s(literal 1 binary64) c) b) | |
| accuracy | 35.20176764578686 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b)) | |
| accuracy | 0 | (*.f64 b c) | |
| accuracy | 0 | (neg.f64 d) | |
| accuracy | 0.7578042428166806 | (fma.f64 (neg.f64 d) a (*.f64 b c)) | |
| accuracy | 25.430562251522243 | (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) |
| 49.0ms | 256× | 0 | valid |
Compiled 209 to 28 computations (86.6% saved)
ival-mult: 12.0ms (41.1% of total)ival-div: 10.0ms (34.3% of total)ival-add: 4.0ms (13.7% of total)ival-neg: 2.0ms (6.9% of total)ival-sub: 1.0ms (3.4% 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 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) (patch (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ()) |
#s(alt (neg.f64 d) (patch (neg.f64 d) #<representation binary64>) () ()) |
#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) c) b) (patch (*.f64 (/.f64 #s(literal 1 binary64) c) b) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) c) (patch (/.f64 #s(literal 1 binary64) c) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (neg.f64 a))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (neg.f64 a))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (neg.f64 a)) (patch (*.f64 (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (neg.f64 a)) #<representation binary64>) () ()) |
#s(alt (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ()) |
#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 (neg.f64 a) (*.f64 c c)) d (/.f64 b c)) (patch (fma.f64 (/.f64 (neg.f64 a) (*.f64 c c)) d (/.f64 b c)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (neg.f64 a) (*.f64 c c)) d (/.f64 b c))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (neg.f64 a) (*.f64 c c)) d (/.f64 b c))) #<representation binary64>) () ()) |
#s(alt (/.f64 (neg.f64 a) (*.f64 c c)) (patch (/.f64 (neg.f64 a) (*.f64 c c)) #<representation binary64>) () ()) |
#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) (patch (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) (patch (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) (patch (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) (patch (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a d)) (taylor 0 c) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* a d)) (* b c)) (taylor 0 c) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* a d)) (* b c)) (taylor 0 c) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* a d)) (* b c)) (taylor 0 c) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (* b c) (taylor 0 c) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (* b c) (taylor 0 c) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (* b c) (taylor 0 c) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (* b c) (taylor 0 c) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor 0 c) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) c) b) (patch (*.f64 (/.f64 #s(literal 1 binary64) c) b) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor 0 c) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) c) b) (patch (*.f64 (/.f64 #s(literal 1 binary64) c) b) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor 0 c) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) c) b) (patch (*.f64 (/.f64 #s(literal 1 binary64) c) b) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor 0 c) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) c) b) (patch (*.f64 (/.f64 #s(literal 1 binary64) c) b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 c) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) c) (patch (/.f64 #s(literal 1 binary64) c) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 c) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) c) (patch (/.f64 #s(literal 1 binary64) c) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 c) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) c) (patch (/.f64 #s(literal 1 binary64) c) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 c) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) c) (patch (/.f64 #s(literal 1 binary64) c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (neg.f64 a))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (neg.f64 a))) #<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 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (neg.f64 a))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (neg.f64 a))) #<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 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (neg.f64 a))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (neg.f64 a))) #<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 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (neg.f64 a))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (neg.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt (*.f64 (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (neg.f64 a)) (patch (*.f64 (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (neg.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* a (pow c 2)) (pow d 3))) (taylor 0 c) (#s(alt (*.f64 (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (neg.f64 a)) (patch (*.f64 (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (neg.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* (pow c 2) (+ (* -1 (/ (* a (pow c 2)) (pow d 5))) (/ a (pow d 3))))) (taylor 0 c) (#s(alt (*.f64 (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (neg.f64 a)) (patch (*.f64 (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (neg.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* (pow c 2) (+ (* (pow c 2) (+ (* -1 (/ a (pow d 5))) (/ (* a (pow c 2)) (pow d 7)))) (/ a (pow d 3))))) (taylor 0 c) (#s(alt (*.f64 (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (neg.f64 a)) (patch (*.f64 (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (neg.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 d) (taylor 0 c) (#s(alt (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d)) (taylor 0 c) (#s(alt (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow c 2) (- (/ (pow c 2) (pow d 5)) (/ 1 (pow d 3)))) (/ 1 d)) (taylor 0 c) (#s(alt (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 7))) (/ 1 (pow d 5)))) (/ 1 (pow d 3)))) (/ 1 d)) (taylor 0 c) (#s(alt (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (pow d 2) (taylor 0 c) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* 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 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<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 (* -1 (/ (* a d) (pow c 2))) (taylor 0 c) (#s(alt (fma.f64 (/.f64 (neg.f64 a) (*.f64 c c)) d (/.f64 b c)) (patch (fma.f64 (/.f64 (neg.f64 a) (*.f64 c c)) d (/.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) (taylor 0 c) (#s(alt (fma.f64 (/.f64 (neg.f64 a) (*.f64 c c)) d (/.f64 b c)) (patch (fma.f64 (/.f64 (neg.f64 a) (*.f64 c c)) d (/.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) (taylor 0 c) (#s(alt (fma.f64 (/.f64 (neg.f64 a) (*.f64 c c)) d (/.f64 b c)) (patch (fma.f64 (/.f64 (neg.f64 a) (*.f64 c c)) d (/.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) (taylor 0 c) (#s(alt (fma.f64 (/.f64 (neg.f64 a) (*.f64 c c)) d (/.f64 b c)) (patch (fma.f64 (/.f64 (neg.f64 a) (*.f64 c c)) d (/.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (neg.f64 a) (*.f64 c c)) d (/.f64 b c))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (neg.f64 a) (*.f64 c c)) d (/.f64 b c))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (neg.f64 a) (*.f64 c c)) d (/.f64 b c))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (neg.f64 a) (*.f64 c c)) d (/.f64 b c))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (neg.f64 a) (*.f64 c c)) d (/.f64 b c))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (neg.f64 a) (*.f64 c c)) d (/.f64 b c))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (neg.f64 a) (*.f64 c c)) d (/.f64 b c))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (neg.f64 a) (*.f64 c c)) d (/.f64 b c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a (pow c 2))) (taylor 0 c) (#s(alt (/.f64 (neg.f64 a) (*.f64 c c)) (patch (/.f64 (neg.f64 a) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a (pow c 2))) (taylor 0 c) (#s(alt (/.f64 (neg.f64 a) (*.f64 c c)) (patch (/.f64 (neg.f64 a) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a (pow c 2))) (taylor 0 c) (#s(alt (/.f64 (neg.f64 a) (*.f64 c c)) (patch (/.f64 (neg.f64 a) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a (pow c 2))) (taylor 0 c) (#s(alt (/.f64 (neg.f64 a) (*.f64 c c)) (patch (/.f64 (neg.f64 a) (*.f64 c c)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) (taylor inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (neg.f64 a) (*.f64 c c)) d (/.f64 b c))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (neg.f64 a) (*.f64 c c)) d (/.f64 b c))) #<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 #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (neg.f64 a) (*.f64 c c)) d (/.f64 b c))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (neg.f64 a) (*.f64 c c)) d (/.f64 b c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor -inf d) (#s(alt (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) (patch (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) (taylor -inf d) (#s(alt (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) (patch (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) (taylor -inf d) (#s(alt (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) (patch (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) (taylor -inf d) (#s(alt (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) (patch (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a d)) (taylor -inf d) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ a (* -1 (/ (* b c) d))))) (taylor -inf d) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ a (* -1 (/ (* b c) d))))) (taylor -inf d) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ a (* -1 (/ (* b c) d))))) (taylor -inf d) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 d) (taylor -inf d) (#s(alt (neg.f64 d) (patch (neg.f64 d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 d) (taylor -inf d) (#s(alt (neg.f64 d) (patch (neg.f64 d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 d) (taylor -inf d) (#s(alt (neg.f64 d) (patch (neg.f64 d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 d) (taylor -inf d) (#s(alt (neg.f64 d) (patch (neg.f64 d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (neg.f64 a))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (neg.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (neg.f64 a))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (neg.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (neg.f64 a))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (neg.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (neg.f64 a))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (neg.f64 a))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor -inf d) (#s(alt (*.f64 (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (neg.f64 a)) (patch (*.f64 (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (neg.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (* a (pow c 2)) (pow d 2)))) d)) (taylor -inf d) (#s(alt (*.f64 (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (neg.f64 a)) (patch (*.f64 (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (neg.f64 a)) #<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 (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (neg.f64 a)) (patch (*.f64 (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (neg.f64 a)) #<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 (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (neg.f64 a)) (patch (*.f64 (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (neg.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 d) (taylor -inf d) (#s(alt (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (/ (pow c 2) (pow d 2)) 1) d)) (taylor -inf d) (#s(alt (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 (/ (pow c 4) (pow d 4))) (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) d)) (taylor -inf d) (#s(alt (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (/ (pow c 6) (pow d 6)) (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (pow c 4) (pow d 4))))) d)) (taylor -inf d) (#s(alt (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (pow d 2) (taylor -inf d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<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 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<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 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<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 c c)) (patch #s(approx (+ (* c c) (* 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 c c))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<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 c c))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* 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 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) (taylor -inf d) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<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 (* -1 (/ (* a d) (pow c 2))) (taylor -inf d) (#s(alt (fma.f64 (/.f64 (neg.f64 a) (*.f64 c c)) d (/.f64 b c)) (patch (fma.f64 (/.f64 (neg.f64 a) (*.f64 c c)) d (/.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) (taylor -inf d) (#s(alt (fma.f64 (/.f64 (neg.f64 a) (*.f64 c c)) d (/.f64 b c)) (patch (fma.f64 (/.f64 (neg.f64 a) (*.f64 c c)) d (/.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) (taylor -inf d) (#s(alt (fma.f64 (/.f64 (neg.f64 a) (*.f64 c c)) d (/.f64 b c)) (patch (fma.f64 (/.f64 (neg.f64 a) (*.f64 c c)) d (/.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) (taylor -inf d) (#s(alt (fma.f64 (/.f64 (neg.f64 a) (*.f64 c c)) d (/.f64 b c)) (patch (fma.f64 (/.f64 (neg.f64 a) (*.f64 c c)) d (/.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (neg.f64 a) (*.f64 c c)) d (/.f64 b c))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (neg.f64 a) (*.f64 c c)) d (/.f64 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))) (fma.f64 (/.f64 (neg.f64 a) (*.f64 c c)) d (/.f64 b c))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (neg.f64 a) (*.f64 c c)) d (/.f64 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))) (fma.f64 (/.f64 (neg.f64 a) (*.f64 c c)) d (/.f64 b c))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (neg.f64 a) (*.f64 c c)) d (/.f64 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))) (fma.f64 (/.f64 (neg.f64 a) (*.f64 c c)) d (/.f64 b c))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (neg.f64 a) (*.f64 c c)) d (/.f64 b c))) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | a | @ | inf | ((/ (+ (* (neg d) a) (* b c)) (+ (* d d) (* c c))) (+ (* (neg d) a) (* b c)) (neg d) (* b c) (* (/ 1 c) b) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ 1 c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (/ d (+ (* c c) (* d d))) (neg a)) (/ d (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* a d) (+ (* (/ (neg a) (* c c)) d) (/ b c)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (neg a) (* c c)) (neg a)) |
| 2.0ms | a | @ | 0 | ((/ (+ (* (neg d) a) (* b c)) (+ (* d d) (* c c))) (+ (* (neg d) a) (* b c)) (neg d) (* b c) (* (/ 1 c) b) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ 1 c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (/ d (+ (* c c) (* d d))) (neg a)) (/ d (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* a d) (+ (* (/ (neg a) (* c c)) d) (/ b c)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (neg a) (* c c)) (neg a)) |
| 2.0ms | a | @ | -inf | ((/ (+ (* (neg d) a) (* b c)) (+ (* d d) (* c c))) (+ (* (neg d) a) (* b c)) (neg d) (* b c) (* (/ 1 c) b) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ 1 c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (/ d (+ (* c c) (* d d))) (neg a)) (/ d (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* a d) (+ (* (/ (neg a) (* c c)) d) (/ b c)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (neg a) (* c c)) (neg a)) |
| 2.0ms | c | @ | 0 | ((/ (+ (* (neg d) a) (* b c)) (+ (* d d) (* c c))) (+ (* (neg d) a) (* b c)) (neg d) (* b c) (* (/ 1 c) b) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ 1 c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (/ d (+ (* c c) (* d d))) (neg a)) (/ d (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* a d) (+ (* (/ (neg a) (* c c)) d) (/ b c)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (neg a) (* c c)) (neg a)) |
| 2.0ms | c | @ | -inf | ((/ (+ (* (neg d) a) (* b c)) (+ (* d d) (* c c))) (+ (* (neg d) a) (* b c)) (neg d) (* b c) (* (/ 1 c) b) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ 1 c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (/ d (+ (* c c) (* d d))) (neg a)) (/ d (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* a d) (+ (* (/ (neg a) (* c c)) d) (/ b c)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (neg a) (* c c)) (neg a)) |
| 1× | egg-herbie |
| 11 276× | lower-fma.f64 |
| 11 276× | lower-fma.f32 |
| 4 812× | lower-*.f64 |
| 4 812× | lower-*.f32 |
| 2 906× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 388 | 7529 |
| 1 | 1229 | 7156 |
| 2 | 3722 | 7030 |
| 0 | 8353 | 6699 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(* -1 (* a d)) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(/ 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 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)) (/ (* 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)) |
(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)) |
(* -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)) |
(+ (* -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 (pow c 2))) |
(* -1 (/ a (pow c 2))) |
(* -1 (/ a (pow c 2))) |
(* -1 (/ a (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) |
(/ 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 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) |
(* -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)) |
(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 (* -1 (/ (* a d) c))) c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(* -1 (/ a (pow c 2))) |
(* -1 (/ a (pow c 2))) |
(* -1 (/ a (pow c 2))) |
(* -1 (/ a (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) |
(/ 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 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)) |
(* -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)) |
(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) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (/ (* a d) 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 (pow c 2))) |
(* -1 (/ a (pow c 2))) |
(* -1 (/ a (pow c 2))) |
(* -1 (/ a (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)))) |
(* -1 (* a d)) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (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)) |
(* -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) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* 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) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(/ (* b c) (+ (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 (+ (* -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 c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* 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) |
(/ 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) (+ (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) |
(* -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 c) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* b c) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(/ (* 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) |
(/ 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 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 (pow c 2))) |
(* -1 (/ a (pow c 2))) |
(* -1 (/ a (pow c 2))) |
(* -1 (/ a (pow c 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)) |
(* a (+ (* -1 d) (/ (* b c) a))) |
(* a (+ (* -1 d) (/ (* b c) a))) |
(* a (+ (* -1 d) (/ (* b c) a))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a 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))) |
(* 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) (+ (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 (pow c 2))) |
(* -1 (/ a (pow c 2))) |
(* -1 (/ a (pow c 2))) |
(* -1 (/ a (pow c 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)) |
(* -1 (* a (+ d (* -1 (/ (* b c) a))))) |
(* -1 (* a (+ d (* -1 (/ (* b c) a))))) |
(* -1 (* a (+ d (* -1 (/ (* b c) a))))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a 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) |
(* -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) (+ (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 (pow c 2))) |
(* -1 (/ a (pow c 2))) |
(* -1 (/ a (pow c 2))) |
(* -1 (/ a (pow c 2))) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(* b c) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(* -1 d) |
(* -1 d) |
(* -1 d) |
(* -1 d) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(* -1 (/ (* a d) (pow c 2))) |
(* d (+ (* -1 (/ a (pow c 2))) (/ (* a (pow d 2)) (pow c 4)))) |
(* d (+ (* -1 (/ a (pow c 2))) (* (pow d 2) (+ (* -1 (/ (* a (pow d 2)) (pow c 6))) (/ a (pow c 4)))))) |
(* d (+ (* -1 (/ a (pow c 2))) (* (pow d 2) (+ (* (pow d 2) (+ (* -1 (/ a (pow c 6))) (/ (* a (pow d 2)) (pow c 8)))) (/ a (pow c 4)))))) |
(/ d (pow c 2)) |
(* d (+ (* -1 (/ (pow d 2) (pow c 4))) (/ 1 (pow c 2)))) |
(* d (+ (* (pow d 2) (- (/ (pow d 2) (pow c 6)) (/ 1 (pow c 4)))) (/ 1 (pow c 2)))) |
(* d (+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 8))) (/ 1 (pow c 6)))) (/ 1 (pow c 4)))) (/ 1 (pow c 2)))) |
(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) |
(/ 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 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) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(* -1 (* a d)) |
(* d (+ (* -1 a) (/ (* b c) d))) |
(* d (+ (* -1 a) (/ (* b c) d))) |
(* d (+ (* -1 a) (/ (* b c) d))) |
(* -1 d) |
(* -1 d) |
(* -1 d) |
(* -1 d) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* a (pow c 2)) (pow d 2))) d) |
(/ (+ (* -1 a) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2)))) d) |
(/ (+ (* -1 a) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* a (pow c 6)) (pow d 6))))) d) |
(/ 1 d) |
(/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) d) |
(/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) d) |
(/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) d) |
(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) |
(* -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)) |
(/ (+ (* -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 (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(* -1 (* a d)) |
(* -1 (* d (+ a (* -1 (/ (* b c) d))))) |
(* -1 (* d (+ a (* -1 (/ (* b c) d))))) |
(* -1 (* d (+ a (* -1 (/ (* b c) d))))) |
(* -1 d) |
(* -1 d) |
(* -1 d) |
(* -1 d) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* a (pow c 2)) (pow d 2)))) d)) |
(* -1 (/ (- (+ a (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2))) d)) |
(* -1 (/ (- (+ a (* -1 (/ (* a (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2)))) d)) |
(/ 1 d) |
(* -1 (/ (- (/ (pow c 2) (pow d 2)) 1) d)) |
(* -1 (/ (- (* -1 (/ (pow c 4) (pow d 4))) (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) d)) |
(* -1 (/ (- (/ (pow c 6) (pow d 6)) (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (pow c 4) (pow d 4))))) d)) |
(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) |
(* -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)) |
(* -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)) |
| 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 (/.f64 c (*.f64 d d)) b (*.f64 (/.f64 a d) (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64)))) |
(+ (* -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) (-.f64 (/.f64 a (*.f64 (*.f64 d d) d)) (/.f64 (*.f64 c b) (*.f64 (*.f64 d d) (*.f64 d d)))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) |
(* -1 (* a d)) |
(*.f64 (neg.f64 d) a) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 (neg.f64 d) a (*.f64 c b)) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 (neg.f64 d) a (*.f64 c b)) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 (neg.f64 d) a (*.f64 c b)) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(/ 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 (/.f64 c (*.f64 d d)) b (*.f64 (/.f64 a d) (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64)))) |
(+ (* -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) (-.f64 (/.f64 a (*.f64 (*.f64 d d) d)) (/.f64 (*.f64 c b) (*.f64 (*.f64 d d) (*.f64 d d)))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) |
(/ 1 c) |
(/.f64 #s(literal 1 binary64) c) |
(/ 1 c) |
(/.f64 #s(literal 1 binary64) c) |
(/ 1 c) |
(/.f64 #s(literal 1 binary64) c) |
(/ 1 c) |
(/.f64 #s(literal 1 binary64) c) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(fma.f64 (/.f64 c (*.f64 d d)) b (*.f64 (/.f64 a d) (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64)))) |
(+ (* -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) (-.f64 (/.f64 a (*.f64 (*.f64 d d) d)) (/.f64 (*.f64 c b) (*.f64 (*.f64 d d) (*.f64 d d)))) (/.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 d) (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64))) |
(+ (* -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 (*.f64 (*.f64 d d) d))) (*.f64 c c) (/.f64 (neg.f64 a) d)) |
(+ (* -1 (/ a d)) (* (pow c 2) (+ (* (pow c 2) (+ (* -1 (/ a (pow d 5))) (/ (* a (pow c 2)) (pow d 7)))) (/ a (pow d 3))))) |
(fma.f64 (fma.f64 (*.f64 a (fma.f64 c (/.f64 c (pow.f64 d #s(literal 7 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 d #s(literal 5 binary64))))) (*.f64 c c) (/.f64 a (*.f64 (*.f64 d d) d))) (*.f64 c c) (/.f64 (neg.f64 a) d)) |
(/ 1 d) |
(/.f64 #s(literal 1 binary64) d) |
(+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d)) |
(/.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64)) (neg.f64 d)) |
(+ (* (pow c 2) (- (/ (pow c 2) (pow d 5)) (/ 1 (pow d 3)))) (/ 1 d)) |
(fma.f64 (fma.f64 c (/.f64 c (pow.f64 d #s(literal 5 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 d d) d))) (*.f64 c c) (/.f64 #s(literal 1 binary64) d)) |
(+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 7))) (/ 1 (pow d 5)))) (/ 1 (pow d 3)))) (/ 1 d)) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 c) (/.f64 c (pow.f64 d #s(literal 7 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 d #s(literal 5 binary64)))) (*.f64 c c) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 d d) d))) (*.f64 c c) (/.f64 #s(literal 1 binary64) 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 (/.f64 c (*.f64 d d)) b (*.f64 (/.f64 a d) (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64)))) |
(+ (* -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) (-.f64 (/.f64 a (*.f64 (*.f64 d d) d)) (/.f64 (*.f64 c b) (*.f64 (*.f64 d d) (*.f64 d d)))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) |
(* -1 (* a d)) |
(*.f64 (neg.f64 d) a) |
(- (* b c) (* a d)) |
(fma.f64 (neg.f64 d) a (*.f64 c b)) |
(- (* b c) (* a d)) |
(fma.f64 (neg.f64 d) a (*.f64 c b)) |
(- (* b c) (* a d)) |
(fma.f64 (neg.f64 d) a (*.f64 c b)) |
(* -1 (/ (* a d) (pow c 2))) |
(*.f64 (/.f64 (neg.f64 d) (*.f64 c c)) a) |
(/ (+ (* -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)) |
(/.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 (/.f64 c (*.f64 d d)) b (*.f64 (/.f64 a d) (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64)))) |
(+ (* -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) (-.f64 (/.f64 a (*.f64 (*.f64 d d) d)) (/.f64 (*.f64 c b) (*.f64 (*.f64 d d) (*.f64 d d)))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) |
(* -1 (/ a (pow c 2))) |
(/.f64 (neg.f64 a) (*.f64 c c)) |
(* -1 (/ a (pow c 2))) |
(/.f64 (neg.f64 a) (*.f64 c c)) |
(* -1 (/ a (pow c 2))) |
(/.f64 (neg.f64 a) (*.f64 c c)) |
(* -1 (/ a (pow c 2))) |
(/.f64 (neg.f64 a) (*.f64 c c)) |
(/ b c) |
(/.f64 b c) |
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(* 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)))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 a (fma.f64 d (/.f64 d (pow.f64 c #s(literal 8 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 c #s(literal 6 binary64))))) (*.f64 d d) (/.f64 a (*.f64 (*.f64 c c) (*.f64 c c)))) (*.f64 d d) (/.f64 (neg.f64 a) (*.f64 c c))) d) |
(/ d (pow c 2)) |
(/.f64 d (*.f64 c c)) |
(* d (+ (* -1 (/ (pow d 2) (pow c 4))) (/ 1 (pow c 2)))) |
(fma.f64 (/.f64 (*.f64 (neg.f64 d) d) (*.f64 (*.f64 c c) (*.f64 c c))) d (/.f64 d (*.f64 c c))) |
(* d (+ (* (pow d 2) (- (/ (pow d 2) (pow c 6)) (/ 1 (pow c 4)))) (/ 1 (pow c 2)))) |
(*.f64 (fma.f64 (fma.f64 d (/.f64 d (pow.f64 c #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 c c) (*.f64 c c)))) (*.f64 d d) (/.f64 #s(literal 1 binary64) (*.f64 c c))) d) |
(* 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)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 d) (/.f64 d (pow.f64 c #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 6 binary64)))) (*.f64 d d) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 c c) (*.f64 c c)))) (*.f64 d d) (/.f64 #s(literal 1 binary64) (*.f64 c c))) 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 d a) c)) c) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(/.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 d a (/.f64 (*.f64 (*.f64 d d) b) c)) c) b)) 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 d a) (*.f64 (*.f64 c c) (*.f64 c c))) (/.f64 b (*.f64 (*.f64 c c) c))) d (/.f64 (neg.f64 a) (*.f64 c c))) d (/.f64 b c)) |
(* b c) |
(*.f64 c b) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 (neg.f64 d) a (*.f64 c b)) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 (neg.f64 d) a (*.f64 c b)) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 (neg.f64 d) a (*.f64 c b)) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(/ b c) |
(/.f64 b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) |
(/ b c) |
(/.f64 b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(/.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 d a (/.f64 (*.f64 (*.f64 d d) b) c)) c) b)) 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 d a) (*.f64 (*.f64 c c) (*.f64 c c))) (/.f64 b (*.f64 (*.f64 c c) c))) d (/.f64 (neg.f64 a) (*.f64 c c))) d (/.f64 b 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))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(/.f64 (fma.f64 (/.f64 b d) (-.f64 c (/.f64 (*.f64 (*.f64 c c) c) (*.f64 d d))) (*.f64 a (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64)))) d) |
(* -1 (* a d)) |
(*.f64 (neg.f64 d) a) |
(* d (+ (* -1 a) (/ (* b c) d))) |
(*.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) |
(* d (+ (* -1 a) (/ (* b c) d))) |
(*.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) |
(* d (+ (* -1 a) (/ (* b c) d))) |
(*.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) |
(* -1 d) |
(neg.f64 d) |
(* -1 d) |
(neg.f64 d) |
(* -1 d) |
(neg.f64 d) |
(* -1 d) |
(neg.f64 d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(/ (+ (* -1 a) (/ (* 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 (/.f64 b d) (-.f64 c (/.f64 (*.f64 (*.f64 c c) c) (*.f64 d d))) (*.f64 a (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 (/.f64 b d) (-.f64 c (/.f64 (*.f64 (*.f64 c c) c) (*.f64 d d))) (*.f64 a (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64)))) d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(/ (+ (* -1 a) (/ (* a (pow c 2)) (pow d 2))) d) |
(*.f64 (/.f64 a d) (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64))) |
(/ (+ (* -1 a) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2)))) d) |
(/.f64 (*.f64 a (-.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64)) (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 d d))))) 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 (-.f64 (fma.f64 c (/.f64 c (*.f64 d d)) (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 d d)))) (neg.f64 a)) d) |
(/ 1 d) |
(/.f64 #s(literal 1 binary64) d) |
(/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) d) |
(/.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64)) (neg.f64 d)) |
(/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) d) |
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 d d))) (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 (-.f64 (-.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 d d))) (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64))) (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) d) |
(pow d 2) |
(*.f64 d d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d 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 (/.f64 b d) (-.f64 c (/.f64 (*.f64 (*.f64 c c) c) (*.f64 d d))) (*.f64 a (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64)))) d) |
(* -1 (* a d)) |
(*.f64 (neg.f64 d) a) |
(* d (- (/ (* b c) d) a)) |
(*.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) |
(* d (- (/ (* b c) d) a)) |
(*.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) |
(* d (- (/ (* b c) d) a)) |
(*.f64 (-.f64 (/.f64 (*.f64 c 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) (pow c 2))) |
(*.f64 (/.f64 (neg.f64 d) (*.f64 c c)) a) |
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(*.f64 (-.f64 (/.f64 b (*.f64 c d)) (/.f64 a (*.f64 c c))) d) |
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(*.f64 (-.f64 (/.f64 b (*.f64 c d)) (/.f64 a (*.f64 c c))) d) |
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(*.f64 (-.f64 (/.f64 b (*.f64 c d)) (/.f64 a (*.f64 c c))) 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 (/.f64 b d) (-.f64 c (/.f64 (*.f64 (*.f64 c c) c) (*.f64 d d))) (*.f64 a (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 (-.f64 (/.f64 (*.f64 c b) d) 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 (*.f64 (*.f64 (neg.f64 c) c) b) c) d)) d)) d) a) d) |
(* -1 (* a d)) |
(*.f64 (neg.f64 d) a) |
(* -1 (* d (+ a (* -1 (/ (* b c) d))))) |
(*.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) |
(* -1 (* d (+ a (* -1 (/ (* b c) d))))) |
(*.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) |
(* -1 (* d (+ a (* -1 (/ (* b c) d))))) |
(*.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) |
(* -1 d) |
(neg.f64 d) |
(* -1 d) |
(neg.f64 d) |
(* -1 d) |
(neg.f64 d) |
(* -1 d) |
(neg.f64 d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) 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 (*.f64 (*.f64 (neg.f64 c) c) b) c) d)) d)) d) a) d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) 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 (*.f64 (*.f64 (neg.f64 c) c) b) c) d)) d)) d) a) d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* a (pow c 2)) (pow d 2)))) d)) |
(*.f64 (/.f64 a d) (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64))) |
(* -1 (/ (- (+ a (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2))) d)) |
(/.f64 (*.f64 a (-.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64)) (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 d d))))) 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 a (-.f64 (fma.f64 c (/.f64 c (*.f64 d d)) (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 d d)))) (neg.f64 a)) d) |
(/ 1 d) |
(/.f64 #s(literal 1 binary64) d) |
(* -1 (/ (- (/ (pow c 2) (pow d 2)) 1) d)) |
(/.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64)) (neg.f64 d)) |
(* -1 (/ (- (* -1 (/ (pow c 4) (pow d 4))) (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) d)) |
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 d d))) (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 (-.f64 (-.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 d d))) (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64))) (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) d) |
(pow d 2) |
(*.f64 d d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (fma.f64 c (/.f64 c (*.f64 d 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 (/.f64 (*.f64 c b) d) 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 (*.f64 (*.f64 (neg.f64 c) c) b) c) d)) d)) d) a) d) |
(* -1 (* a d)) |
(*.f64 (neg.f64 d) a) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(*.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(*.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(*.f64 (-.f64 (/.f64 (*.f64 c 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) (pow c 2))) |
(*.f64 (/.f64 (neg.f64 d) (*.f64 c c)) a) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(*.f64 (-.f64 (/.f64 b (*.f64 c d)) (/.f64 a (*.f64 c c))) d) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(*.f64 (-.f64 (/.f64 b (*.f64 c d)) (/.f64 a (*.f64 c c))) d) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(*.f64 (-.f64 (/.f64 b (*.f64 c d)) (/.f64 a (*.f64 c c))) d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) 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 (*.f64 (*.f64 (neg.f64 c) c) b) c) d)) d)) d) a) d) |
| 5 102× | lower-fma.f32 |
| 5 096× | lower-fma.f64 |
| 4 744× | lower-/.f32 |
| 4 732× | lower-/.f64 |
| 4 382× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 202 |
| 0 | 51 | 190 |
| 1 | 192 | 190 |
| 2 | 1502 | 190 |
| 0 | 8149 | 190 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) |
(fma.f64 (neg.f64 d) a (*.f64 b c)) |
(neg.f64 d) |
(*.f64 b c) |
(*.f64 (/.f64 #s(literal 1 binary64) c) b) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b)) |
(/.f64 #s(literal 1 binary64) c) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (neg.f64 a))) |
(*.f64 (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (neg.f64 a)) |
(/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (+ (* c c) (* d d)) (*.f64 c c)) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(-.f64 (*.f64 b c) (*.f64 a d)) |
(*.f64 a d) |
(fma.f64 (/.f64 (neg.f64 a) (*.f64 c c)) d (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (neg.f64 a) (*.f64 c c)) d (/.f64 b c))) |
(/.f64 (neg.f64 a) (*.f64 c c)) |
(neg.f64 a) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 c b (*.f64 a d)) (fma.f64 c c (*.f64 d d))) (/.f64 (fma.f64 (neg.f64 a) d (*.f64 c b)) (fma.f64 c b (*.f64 a d)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 c b) c) b (*.f64 (*.f64 a d) (fma.f64 c b (*.f64 a d)))) (fma.f64 c c (*.f64 d d))) (/.f64 (fma.f64 (neg.f64 a) d (*.f64 c b)) (fma.f64 (*.f64 (*.f64 c b) c) b (*.f64 (*.f64 a d) (fma.f64 c b (*.f64 a d)))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 c b) c) b (*.f64 (*.f64 a d) (fma.f64 c b (*.f64 a d)))) (fma.f64 c c (*.f64 d d))) (/.f64 (fma.f64 (neg.f64 a) d (*.f64 c b)) (fma.f64 (*.f64 (*.f64 a d) a) d (*.f64 (*.f64 c b) (-.f64 (*.f64 c b) (*.f64 (neg.f64 a) d)))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 a d) a) d (*.f64 (*.f64 c b) (-.f64 (*.f64 c b) (*.f64 (neg.f64 a) d)))) (fma.f64 c c (*.f64 d d))) (/.f64 (fma.f64 (neg.f64 a) d (*.f64 c b)) (fma.f64 (*.f64 (*.f64 c b) c) b (*.f64 (*.f64 a d) (fma.f64 c b (*.f64 a d)))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 a d) a) d (*.f64 (*.f64 c b) (-.f64 (*.f64 c b) (*.f64 (neg.f64 a) d)))) (fma.f64 c c (*.f64 d d))) (/.f64 (fma.f64 (neg.f64 a) d (*.f64 c b)) (fma.f64 (*.f64 (*.f64 a d) a) d (*.f64 (*.f64 c b) (-.f64 (*.f64 c b) (*.f64 (neg.f64 a) d)))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 c b (*.f64 a d)) (fma.f64 (neg.f64 a) d (*.f64 c b))) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c b (*.f64 a d))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 c d) (-.f64 c d))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 c b (*.f64 a d)) (fma.f64 (neg.f64 a) d (*.f64 c b))) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c b (*.f64 a d))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 d c) (-.f64 d c))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 c b (*.f64 a d)) (fma.f64 (neg.f64 a) d (*.f64 c b))) (fma.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c b (*.f64 a d))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 c c) c) c (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c))))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 c b (*.f64 a d)) (fma.f64 (neg.f64 a) d (*.f64 c b))) (fma.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c b (*.f64 a d))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 (*.f64 (*.f64 d d) d) d))))) |
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a d) a) d) (*.f64 (*.f64 (*.f64 c b) c) b)) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 c) b))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 c d) (-.f64 c d))))) |
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a d) a) d) (*.f64 (*.f64 (*.f64 c b) c) b)) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 c) b))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 d c) (-.f64 d c))))) |
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a d) a) d) (*.f64 (*.f64 (*.f64 c b) c) b)) (fma.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 c) b))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 c c) c) c (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c))))))) |
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a d) a) d) (*.f64 (*.f64 (*.f64 c b) c) b)) (fma.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 c) b))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 (*.f64 (*.f64 d d) d) d))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 c b) c) b) (*.f64 c b) (*.f64 (*.f64 (*.f64 (*.f64 a d) a) d) (*.f64 a d))) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 c b) c) b (*.f64 (*.f64 a d) (fma.f64 c b (*.f64 a d))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 c d) (-.f64 c d))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 c b) c) b) (*.f64 c b) (*.f64 (*.f64 (*.f64 (*.f64 a d) a) d) (*.f64 a d))) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 a d) a) d (*.f64 (*.f64 c b) (-.f64 (*.f64 c b) (*.f64 (neg.f64 a) d))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 c d) (-.f64 c d))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 c b) c) b) (*.f64 c b) (*.f64 (*.f64 (*.f64 (*.f64 a d) a) d) (*.f64 a d))) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 c b) c) b (*.f64 (*.f64 a d) (fma.f64 c b (*.f64 a d))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 d c) (-.f64 d c))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 c b) c) b) (*.f64 c b) (*.f64 (*.f64 (*.f64 (*.f64 a d) a) d) (*.f64 a d))) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 a d) a) d (*.f64 (*.f64 c b) (-.f64 (*.f64 c b) (*.f64 (neg.f64 a) d))))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 d c) (-.f64 d c))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 c b) c) b) (*.f64 c b) (*.f64 (*.f64 (*.f64 (*.f64 a d) a) d) (*.f64 a d))) (fma.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 c b) c) b (*.f64 (*.f64 a d) (fma.f64 c b (*.f64 a d))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 c c) c) c (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c))))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 c b) c) b) (*.f64 c b) (*.f64 (*.f64 (*.f64 (*.f64 a d) a) d) (*.f64 a d))) (fma.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 c b) c) b (*.f64 (*.f64 a d) (fma.f64 c b (*.f64 a d))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 (*.f64 (*.f64 d d) d) d))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 c b) c) b) (*.f64 c b) (*.f64 (*.f64 (*.f64 (*.f64 a d) a) d) (*.f64 a d))) (fma.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 a d) a) d (*.f64 (*.f64 c b) (-.f64 (*.f64 c b) (*.f64 (neg.f64 a) d))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 c c) c) c (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c))))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 c b) c) b) (*.f64 c b) (*.f64 (*.f64 (*.f64 (*.f64 a d) a) d) (*.f64 a d))) (fma.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 a d) a) d (*.f64 (*.f64 c b) (-.f64 (*.f64 c b) (*.f64 (neg.f64 a) d))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 (*.f64 (*.f64 d d) d) d))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (fma.f64 c b (*.f64 a d)) (fma.f64 (neg.f64 a) d (*.f64 c b)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 c b (*.f64 a d)))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 c c (*.f64 d d)) (-.f64 (*.f64 (*.f64 (*.f64 a d) a) d) (*.f64 (*.f64 (*.f64 c b) c) b))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 c) b)))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 (*.f64 (*.f64 (*.f64 c b) c) b) (*.f64 c b) (*.f64 (*.f64 (*.f64 (*.f64 a d) a) d) (*.f64 a d)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 c b) c) b (*.f64 (*.f64 a d) (fma.f64 c b (*.f64 a d)))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 (*.f64 (*.f64 (*.f64 c b) c) b) (*.f64 c b) (*.f64 (*.f64 (*.f64 (*.f64 a d) a) d) (*.f64 a d)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 a d) a) d (*.f64 (*.f64 c b) (-.f64 (*.f64 c b) (*.f64 (neg.f64 a) d)))))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 a) d (*.f64 c b)) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 c d) (-.f64 c d))))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 a) d (*.f64 c b)) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) (*.f64 (+.f64 c d) (-.f64 c d))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 a) d (*.f64 c b)) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 d c) (-.f64 d c))))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 a) d (*.f64 c b)) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 d c) (-.f64 d c)))) (*.f64 (+.f64 d c) (-.f64 d c))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 a) d (*.f64 c b)) (fma.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 c c) c) c (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c))))))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 a) d (*.f64 c b)) (fma.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 (*.f64 (*.f64 d d) d) d))))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 a) d (*.f64 c b)) (fma.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d)))) (fma.f64 (*.f64 (*.f64 c c) c) c (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c))))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 a) d (*.f64 c b)) (fma.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d)))) (fma.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 (*.f64 (*.f64 d d) d) d))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) d (*.f64 c b))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) (fma.f64 (neg.f64 a) d (*.f64 c b))) |
(*.f64 (neg.f64 (fma.f64 (neg.f64 a) d (*.f64 c b))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 c c (*.f64 d d))))) |
(*.f64 (fma.f64 (neg.f64 a) d (*.f64 c b)) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 a) d (*.f64 c b)) (fma.f64 c c (*.f64 d d))) (/.f64 (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 c) b)) (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 c) b)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 a) d (*.f64 c b)) (fma.f64 c c (*.f64 d d)))) |
(pow.f64 (/.f64 (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 (neg.f64 a) d (*.f64 c b))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 (neg.f64 a) d (*.f64 c b))) #s(literal -1 binary64)) |
(/.f64 (fma.f64 (*.f64 (*.f64 c (/.f64 b (fma.f64 c c (*.f64 d d)))) (*.f64 c (/.f64 b (fma.f64 c c (*.f64 d d))))) (*.f64 c (/.f64 b (fma.f64 c c (*.f64 d d)))) (pow.f64 (neg.f64 (*.f64 a (/.f64 d (fma.f64 c c (*.f64 d d))))) #s(literal 3 binary64))) (fma.f64 (*.f64 c (/.f64 b (fma.f64 c c (*.f64 d d)))) (*.f64 c (/.f64 b (fma.f64 c c (*.f64 d d)))) (-.f64 (*.f64 (neg.f64 (*.f64 a (/.f64 d (fma.f64 c c (*.f64 d d))))) (neg.f64 (*.f64 a (/.f64 d (fma.f64 c c (*.f64 d d)))))) (*.f64 (*.f64 c (/.f64 b (fma.f64 c c (*.f64 d d)))) (neg.f64 (*.f64 a (/.f64 d (fma.f64 c c (*.f64 d d))))))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 c b (*.f64 a d)) (fma.f64 (neg.f64 a) d (*.f64 c b))) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))))) (neg.f64 (fma.f64 c b (*.f64 a d)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 a d) a) d) (*.f64 (*.f64 (*.f64 c b) c) b)) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))))) (neg.f64 (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 c) b)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 c b) c) b) (*.f64 c b) (*.f64 (*.f64 (*.f64 (*.f64 a d) a) d) (*.f64 a d))) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))))) (neg.f64 (fma.f64 (*.f64 (*.f64 c b) c) b (*.f64 (*.f64 a d) (fma.f64 c b (*.f64 a d)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 c b) c) b) (*.f64 c b) (*.f64 (*.f64 (*.f64 (*.f64 a d) a) d) (*.f64 a d))) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))))) (neg.f64 (fma.f64 (*.f64 (*.f64 a d) a) d (*.f64 (*.f64 c b) (-.f64 (*.f64 c b) (*.f64 (neg.f64 a) d)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (neg.f64 a) d (*.f64 c b)) #s(literal 1 binary64))) (neg.f64 (fma.f64 c c (*.f64 d d)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 c (/.f64 b (fma.f64 c c (*.f64 d d)))) (*.f64 c (/.f64 b (fma.f64 c c (*.f64 d d))))) (*.f64 (*.f64 a (/.f64 d (fma.f64 c c (*.f64 d d)))) (*.f64 a (/.f64 d (fma.f64 c c (*.f64 d d))))))) (neg.f64 (fma.f64 c (/.f64 b (fma.f64 c c (*.f64 d d))) (*.f64 a (/.f64 d (fma.f64 c c (*.f64 d d))))))) |
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(pow.f64 (/.f64 (/.f64 (*.f64 (neg.f64 c) c) a) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (neg.f64 c) c) a) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (*.f64 c c)) #s(literal 3 binary64)) (pow.f64 (/.f64 a (*.f64 c c)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (*.f64 c c)) (/.f64 #s(literal 0 binary64) (*.f64 c c)) (fma.f64 (/.f64 a (*.f64 c c)) (/.f64 a (*.f64 c c)) (*.f64 (/.f64 #s(literal 0 binary64) (*.f64 c c)) (/.f64 a (*.f64 c c)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 a (*.f64 c c)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 a (*.f64 c c)) (/.f64 a (*.f64 c c)) (*.f64 #s(literal 0 binary64) (/.f64 a (*.f64 c c)))))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (neg.f64 a) c))) (neg.f64 (neg.f64 c))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 a) #s(literal 1 binary64))) (*.f64 (neg.f64 c) c)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) c) (*.f64 (*.f64 c c) (/.f64 a c))) (*.f64 (*.f64 c c) c)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 c) c)) (*.f64 (*.f64 c c) (neg.f64 a))) (*.f64 (*.f64 c c) (*.f64 (neg.f64 c) c))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 c (/.f64 c a))) (*.f64 c c)) (*.f64 (*.f64 c c) (*.f64 c (/.f64 c a)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 c c)) (*.f64 (*.f64 c c) a)) (*.f64 (*.f64 (*.f64 c c) c) c)) |
(/.f64 (*.f64 (neg.f64 a) #s(literal 1 binary64)) (*.f64 c c)) |
(/.f64 (neg.f64 (/.f64 (neg.f64 a) c)) (neg.f64 c)) |
(/.f64 (/.f64 (neg.f64 a) c) c) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (neg.f64 c) a) c))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 (neg.f64 c) c) a) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (neg.f64 c) c) a))) |
(/.f64 (neg.f64 a) (neg.f64 (*.f64 (neg.f64 c) c))) |
(/.f64 (neg.f64 a) (*.f64 c c)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 (neg.f64 c) c) a)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 c) a) c)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (neg.f64 c) c) a) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 c) c) a)) |
(/.f64 a (neg.f64 (neg.f64 (*.f64 (neg.f64 c) c)))) |
(/.f64 a (*.f64 (neg.f64 c) c)) |
(neg.f64 (/.f64 a (*.f64 c c))) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) c) c) (/.f64 a (*.f64 c c))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (neg.f64 c) c))) (/.f64 a (*.f64 c c))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 c c)) (/.f64 a (*.f64 c c))) |
(-.f64 #s(literal 0 binary64) (/.f64 a (*.f64 c c))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (neg.f64 c) c) a)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) a) |
(*.f64 a #s(literal -1 binary64)) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 a) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 a a) (*.f64 #s(literal 0 binary64) (neg.f64 a))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a))) (neg.f64 (+.f64 #s(literal 0 binary64) a))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 a a) a))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (+.f64 #s(literal 0 binary64) a)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 a a) a)) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a)))) |
(neg.f64 a) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) a)) (/.f64 (*.f64 a a) (+.f64 #s(literal 0 binary64) a))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a)))) (/.f64 (*.f64 (*.f64 a a) a) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a))))) |
(-.f64 #s(literal 0 binary64) a) |
(+.f64 #s(literal 0 binary64) (neg.f64 a)) |
Compiled 32 874 to 2 180 computations (93.4% saved)
28 alts after pruning (20 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 387 | 9 | 1 396 |
| Fresh | 5 | 11 | 16 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1 394 | 28 | 1 422 |
| Status | Accuracy | Program |
|---|---|---|
| 38.6% | (/.f64 (fma.f64 (neg.f64 d) a (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| 30.7% | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| 36.3% | (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (fma.f64 (/.f64 d b) (neg.f64 a) c) b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| 19.3% | (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| 31.0% | (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| 41.4% | (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) (fma.f64 d d (*.f64 c c))) | |
| 18.3% | (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| 40.2% | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 (neg.f64 d) a))) | |
| ✓ | 44.7% | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b))) |
| 54.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 (neg.f64 a) c) c) d (/.f64 b c))) | |
| ✓ | 51.8% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (neg.f64 a) (*.f64 c c)) d (/.f64 b c))) |
| 52.5% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 (*.f64 a d) c) (/.f64 b c))) | |
| ✓ | 53.1% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) |
| 35.2% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 a) c) d) (/.f64 c b) c) (*.f64 c (/.f64 c b)))) | |
| 53.2% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) | |
| 51.2% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 b c))) a) d)) | |
| 17.8% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) d) (*.f64 (*.f64 d (/.f64 d (*.f64 b c))) a)) (*.f64 (*.f64 d (/.f64 d (*.f64 b c))) d))) | |
| 52.6% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) | |
| ✓ | 40.7% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
| 21.1% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- (/ (* b c) d) a) (/.f64 (*.f64 c b) d)) d)) | |
| ✓ | 45.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
| ✓ | 36.7% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a))) |
| ✓ | 19.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (neg.f64 a))) |
| 40.5% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) d) (neg.f64 a))) | |
| ✓ | 44.9% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b)) |
| 18.9% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) d) (neg.f64 a))) | |
| 21.7% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 d (/.f64 (neg.f64 a) #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) | |
| 18.3% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ c d) b) (neg a)) d) (*.f64 c (/.f64 b (*.f64 d d))))) |
Compiled 1 131 to 389 computations (65.6% 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 (/.f64 #s(literal 1 binary64) c) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) d) (neg.f64 a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ c d) b) (neg a)) d) (*.f64 c (/.f64 b (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (* b c) d) a) d) (*.f64 (/.f64 c (*.f64 d d)) b))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 d (/.f64 (neg.f64 a) #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (neg.f64 a))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 d (neg.f64 a)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 (neg.f64 d) a))) |
#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 #s(approx (- (/ (* b c) d) a) (/.f64 (*.f64 c b) d)) d)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) (fma.f64 d d (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) d) (neg.f64 a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 d (/.f64 (neg.f64 a) (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 c c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.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 (neg.f64 d) a (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#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 b (/.f64 (*.f64 d a) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) d) (neg.f64 a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (neg.f64 a) (*.f64 c c)) d (/.f64 b c))) |
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
(*.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (fma.f64 (/.f64 d b) (neg.f64 a) c) b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 b c))) a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 (neg.f64 a) c) c) d (/.f64 b c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (/.f64 #s(literal -1 binary64) a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 (*.f64 a d) c) (/.f64 b c))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (neg.f64 d) a (*.f64 b 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 (/.f64 (neg.f64 a) c) d) (/.f64 c b) c) (*.f64 c (/.f64 c b)))) |
(fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (*.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) d) (*.f64 (*.f64 d (/.f64 d (*.f64 b c))) a)) (*.f64 (*.f64 d (/.f64 d (*.f64 b c))) d))) |
(fma.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a)) (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c))))) |
(*.f64 (*.f64 (fma.f64 a d (*.f64 b c)) (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c)))) (/.f64 #s(literal 1 binary64) (fma.f64 a d (*.f64 b c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 d) a)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c))) (*.f64 (fma.f64 (*.f64 c c) c (*.f64 (*.f64 d d) d)) (-.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 d d) d)))) (*.f64 (fma.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 d d) (*.f64 (*.f64 (*.f64 c c) c) c)) (*.f64 (fma.f64 (*.f64 c c) c (*.f64 (*.f64 d d) d)) (-.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 d d) d)))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (exp.f64 (*.f64 (log.f64 (/.f64 d (-.f64 (/.f64 (*.f64 b c) d) a))) #s(literal -1 binary64)))) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) |
(fma.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a)) (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
(fma.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a)) (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) |
5 calls:
| 21.0ms | b |
| 14.0ms | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 14.0ms | d |
| 14.0ms | a |
| 14.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.2% | 4 | a |
| 74.2% | 7 | b |
| 84.4% | 4 | c |
| 89.4% | 5 | d |
| 77.4% | 3 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
Compiled 39 to 27 computations (30.8% 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 (/.f64 #s(literal 1 binary64) c) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) d) (neg.f64 a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ c d) b) (neg a)) d) (*.f64 c (/.f64 b (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (* b c) d) a) d) (*.f64 (/.f64 c (*.f64 d d)) b))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 d (/.f64 (neg.f64 a) #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (neg.f64 a))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 d (neg.f64 a)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 (neg.f64 d) a))) |
#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 #s(approx (- (/ (* b c) d) a) (/.f64 (*.f64 c b) d)) d)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) (fma.f64 d d (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) d) (neg.f64 a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 d (/.f64 (neg.f64 a) (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 c c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.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 (neg.f64 d) a (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#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 b (/.f64 (*.f64 d a) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) d) (neg.f64 a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (neg.f64 a) (*.f64 c c)) d (/.f64 b c))) |
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
(*.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (fma.f64 (/.f64 d b) (neg.f64 a) c) b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 b c))) a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 (neg.f64 a) c) c) d (/.f64 b c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (/.f64 #s(literal -1 binary64) a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 (*.f64 a d) c) (/.f64 b c))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (neg.f64 d) a (*.f64 b 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 (/.f64 (neg.f64 a) c) d) (/.f64 c b) c) (*.f64 c (/.f64 c b)))) |
(fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (*.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) d) (*.f64 (*.f64 d (/.f64 d (*.f64 b c))) a)) (*.f64 (*.f64 d (/.f64 d (*.f64 b c))) d))) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) |
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.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 c d) b (neg.f64 a)) d)) |
1 calls:
| 12.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.2% | 5 | d |
Compiled 5 to 4 computations (20% 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 (/.f64 #s(literal 1 binary64) c) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) d) (neg.f64 a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ c d) b) (neg a)) d) (*.f64 c (/.f64 b (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (* b c) d) a) d) (*.f64 (/.f64 c (*.f64 d d)) b))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 d (/.f64 (neg.f64 a) #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (neg.f64 a))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 d (neg.f64 a)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 (neg.f64 d) a))) |
#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 #s(approx (- (/ (* b c) d) a) (/.f64 (*.f64 c b) d)) d)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) (fma.f64 d d (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) d) (neg.f64 a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 d (/.f64 (neg.f64 a) (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 c c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.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 (neg.f64 d) a (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#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 b (/.f64 (*.f64 d a) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) d) (neg.f64 a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (neg.f64 a) (*.f64 c c)) d (/.f64 b c))) |
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
(*.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (fma.f64 (/.f64 d b) (neg.f64 a) c) b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 b c))) a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 (neg.f64 a) c) c) d (/.f64 b c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (/.f64 #s(literal -1 binary64) a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 (*.f64 a d) c) (/.f64 b c))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (neg.f64 d) a (*.f64 b c)))) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) |
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) |
1 calls:
| 12.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.7% | 5 | d |
Compiled 5 to 4 computations (20% 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 (/.f64 #s(literal 1 binary64) c) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) d) (neg.f64 a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ c d) b) (neg a)) d) (*.f64 c (/.f64 b (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (* b c) d) a) d) (*.f64 (/.f64 c (*.f64 d d)) b))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 d (/.f64 (neg.f64 a) #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (neg.f64 a))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 d (neg.f64 a)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 (neg.f64 d) a))) |
#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 #s(approx (- (/ (* b c) d) a) (/.f64 (*.f64 c b) d)) d)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) (fma.f64 d d (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) d) (neg.f64 a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 d (/.f64 (neg.f64 a) (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 c c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.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 (neg.f64 d) a (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#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 b (/.f64 (*.f64 d a) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) d) (neg.f64 a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (neg.f64 a) (*.f64 c c)) d (/.f64 b c))) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) |
2 calls:
| 9.0ms | d |
| 9.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.4% | 3 | c |
| 82.0% | 3 | d |
Compiled 10 to 8 computations (20% 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 (/.f64 #s(literal 1 binary64) c) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) d) (neg.f64 a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ c d) b) (neg a)) d) (*.f64 c (/.f64 b (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (* b c) d) a) d) (*.f64 (/.f64 c (*.f64 d d)) b))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 d (/.f64 (neg.f64 a) #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (neg.f64 a))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 d (neg.f64 a)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 (neg.f64 d) a))) |
#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 #s(approx (- (/ (* b c) d) a) (/.f64 (*.f64 c b) d)) d)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) (fma.f64 d d (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) d) (neg.f64 a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 d (/.f64 (neg.f64 a) (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 c c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.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 (neg.f64 d) a (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#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 b (/.f64 (*.f64 d a) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (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 c (/.f64 b d) (neg.f64 a)) d)) |
1 calls:
| 8.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.0% | 3 | d |
Compiled 5 to 4 computations (20% 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 (/.f64 #s(literal 1 binary64) c) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) d) (neg.f64 a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ c d) b) (neg a)) d) (*.f64 c (/.f64 b (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (* b c) d) a) d) (*.f64 (/.f64 c (*.f64 d d)) b))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 d (/.f64 (neg.f64 a) #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (neg.f64 a))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 d (neg.f64 a)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 (neg.f64 d) a))) |
#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 #s(approx (- (/ (* b c) d) a) (/.f64 (*.f64 c b) d)) d)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) (fma.f64 d d (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) d) (neg.f64 a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 d (/.f64 (neg.f64 a) (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 c c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.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 (neg.f64 d) a (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#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 b (/.f64 (*.f64 d a) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) |
| 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)) |
1 calls:
| 9.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.6% | 3 | d |
Compiled 5 to 4 computations (20% 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 (/.f64 #s(literal 1 binary64) c) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) d) (neg.f64 a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ c d) b) (neg a)) d) (*.f64 c (/.f64 b (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (* b c) d) a) d) (*.f64 (/.f64 c (*.f64 d d)) b))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 d (/.f64 (neg.f64 a) #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (neg.f64 a))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 d (neg.f64 a)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 (neg.f64 d) a))) |
#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 #s(approx (- (/ (* b c) d) a) (/.f64 (*.f64 c b) d)) d)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) (fma.f64 d d (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) d) (neg.f64 a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 d (/.f64 (neg.f64 a) (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 c c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.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 (neg.f64 d) a (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#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 b (/.f64 (*.f64 d a) c)) c)) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
3 calls:
| 8.0ms | d |
| 8.0ms | c |
| 7.0ms | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.4% | 3 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 68.2% | 3 | c |
| 77.6% | 4 | d |
Compiled 29 to 19 computations (34.5% 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 (/.f64 #s(literal 1 binary64) c) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) d) (neg.f64 a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ c d) b) (neg a)) d) (*.f64 c (/.f64 b (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (* b c) d) a) d) (*.f64 (/.f64 c (*.f64 d d)) b))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 d (/.f64 (neg.f64 a) #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (neg.f64 a))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 d (neg.f64 a)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 (neg.f64 d) a))) |
#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 #s(approx (- (/ (* b c) d) a) (/.f64 (*.f64 c b) d)) d)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) (fma.f64 d d (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) d) (neg.f64 a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 d (/.f64 (neg.f64 a) (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 c c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.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 (neg.f64 d) a (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.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 (neg.f64 a) d)) |
4 calls:
| 8.0ms | a |
| 7.0ms | b |
| 7.0ms | d |
| 7.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.3% | 4 | a |
| 61.9% | 5 | b |
| 68.6% | 4 | c |
| 73.8% | 7 | d |
Compiled 20 to 16 computations (20% 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 (/.f64 #s(literal 1 binary64) c) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) d) (neg.f64 a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ c d) b) (neg a)) d) (*.f64 c (/.f64 b (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (* b c) d) a) d) (*.f64 (/.f64 c (*.f64 d d)) b))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 d (/.f64 (neg.f64 a) #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (neg.f64 a))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 d (neg.f64 a)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 (neg.f64 d) a))) |
#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 #s(approx (- (/ (* b c) d) a) (/.f64 (*.f64 c b) d)) d)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) (fma.f64 d d (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) d) (neg.f64 a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 d (/.f64 (neg.f64 a) (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 c c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.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 (neg.f64 a) d)) |
1 calls:
| 7.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.8% | 7 | d |
Compiled 5 to 4 computations (20% 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 (/.f64 #s(literal 1 binary64) c) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) d) (neg.f64 a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ c d) b) (neg a)) d) (*.f64 c (/.f64 b (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (* b c) d) a) d) (*.f64 (/.f64 c (*.f64 d d)) b))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 d (/.f64 (neg.f64 a) #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (neg.f64 a))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 d (neg.f64 a)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 (neg.f64 d) a))) |
#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 #s(approx (- (/ (* b c) d) a) (/.f64 (*.f64 c b) d)) d)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) (fma.f64 d d (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) d) (neg.f64 a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 d (/.f64 (neg.f64 a) (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 c c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (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 b c)) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.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 (neg.f64 a) d)) |
1 calls:
| 7.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.5% | 7 | d |
Compiled 5 to 4 computations (20% 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 (/.f64 #s(literal 1 binary64) c) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) d) (neg.f64 a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ c d) b) (neg a)) d) (*.f64 c (/.f64 b (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (* b c) d) a) d) (*.f64 (/.f64 c (*.f64 d d)) b))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 d (/.f64 (neg.f64 a) #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (neg.f64 a))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 d (neg.f64 a)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 (neg.f64 d) a))) |
#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 #s(approx (- (/ (* b c) d) a) (/.f64 (*.f64 c b) d)) d)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) (fma.f64 d d (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) d) (neg.f64 a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 d (/.f64 (neg.f64 a) (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 c c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) (+.f64 (*.f64 c c) (*.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)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) (fma.f64 d d (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
2 calls:
| 7.0ms | d |
| 6.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.6% | 4 | c |
| 68.4% | 4 | d |
Compiled 10 to 8 computations (20% 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 (/.f64 #s(literal 1 binary64) c) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) d) (neg.f64 a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ c d) b) (neg a)) d) (*.f64 c (/.f64 b (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (* b c) d) a) d) (*.f64 (/.f64 c (*.f64 d d)) b))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 d (/.f64 (neg.f64 a) #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (neg.f64 a))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 d (neg.f64 a)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 (neg.f64 d) a))) |
#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 #s(approx (- (/ (* b c) d) a) (/.f64 (*.f64 c b) d)) d)) |
| 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 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
2 calls:
| 5.0ms | c |
| 5.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.7% | 3 | d |
| 68.0% | 4 | c |
Compiled 10 to 8 computations (20% 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:
| 2.0ms | c |
| 1.0ms | a |
| 1.0ms | d |
| 1.0ms | b |
| 1.0ms | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 45.0% | 1 | a |
| 45.0% | 1 | b |
| 45.0% | 1 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 45.0% | 1 | c |
| 45.0% | 1 | d |
Compiled 39 to 27 computations (30.8% saved)
| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 7.2086925854502e+120 | 4.151402034894273e+129 |
| 14.0ms | 8.495308099644433e-141 | 5.534125790886547e-134 |
| 11.0ms | -1.1082942720552923e-124 | -7.348166503939751e-127 |
| 14.0ms | -2.953754496732486e+96 | -4.429571854328078e+88 |
| 34.0ms | 544× | 0 | valid |
Compiled 1 518 to 834 computations (45.1% saved)
ival-mult: 13.0ms (63.6% of total)ival-div: 3.0ms (14.7% of total)ival-sub: 2.0ms (9.8% of total)ival-add: 2.0ms (9.8% 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 |
|---|---|---|
| 8.0ms | 7.2086925854502e+120 | 4.151402034894273e+129 |
| 9.0ms | 4.776281281277568e-148 | 4.2905596793966966e-147 |
| 17.0ms | -8.411075412977613e-72 | -2.0063370814988523e-84 |
| 9.0ms | -1.4062590930725402e+57 | -2.066638926864659e+56 |
| 28.0ms | 432× | 0 | valid |
Compiled 1 181 to 653 computations (44.7% saved)
ival-mult: 10.0ms (57.6% of total)ival-div: 4.0ms (23% of total)ival-sub: 2.0ms (11.5% of total)ival-add: 2.0ms (11.5% 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 |
|---|---|---|
| 13.0ms | 7.2086925854502e+120 | 4.151402034894273e+129 |
| 13.0ms | 5.042764425101742e-75 | 1.0373368744869365e-67 |
| 1.0ms | -8.411075412977613e-72 | -2.0063370814988523e-84 |
| 0.0ms | -1.4062590930725402e+57 | -2.066638926864659e+56 |
| 16.0ms | 272× | 0 | valid |
Compiled 1 178 to 698 computations (40.7% saved)
ival-mult: 6.0ms (60.1% of total)ival-div: 2.0ms (20% of total)ival-sub: 1.0ms (10% of total)ival-add: 1.0ms (10% 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 |
|---|---|---|
| 12.0ms | 7.2086925854502e+120 | 4.151402034894273e+129 |
| 15.0ms | -566.2468719161059 | -2.720982543509952e-8 |
| 18.0ms | 272× | 0 | valid |
Compiled 592 to 360 computations (39.2% saved)
ival-mult: 6.0ms (59.5% of total)ival-sub: 1.0ms (9.9% of total)ival-div: 1.0ms (9.9% of total)ival-add: 1.0ms (9.9% 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 |
|---|---|---|
| 17.0ms | 1.3343318996953777e+98 | 7.2086925854502e+120 |
| 1.0ms | -566.2468719161059 | -2.720982543509952e-8 |
| 11.0ms | 176× | 0 | valid |
Compiled 652 to 396 computations (39.3% saved)
ival-mult: 4.0ms (60.9% of total)ival-sub: 1.0ms (15.2% of total)ival-div: 1.0ms (15.2% of total)ival-add: 1.0ms (15.2% 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 | 7.2086925854502e+120 | 4.151402034894273e+129 |
| 1.0ms | -566.2468719161059 | -2.720982543509952e-8 |
Compiled 592 to 360 computations (39.2% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 1.3343318996953777e+98 | 7.2086925854502e+120 |
| 1.0ms | -566.2468719161059 | -2.720982543509952e-8 |
| 15.0ms | -2.6719167409450527e+147 | -1.6379971242272872e+140 |
| 14.0ms | 224× | 0 | valid |
Compiled 860 to 537 computations (37.6% saved)
ival-mult: 5.0ms (59.6% of total)ival-sub: 1.0ms (11.9% of total)ival-div: 1.0ms (11.9% of total)ival-add: 1.0ms (11.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 6× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.3343318996953777e+98 | 7.2086925854502e+120 |
| 9.0ms | 2.1772364991575757e+32 | 1.2097864637094313e+33 |
| 4.0ms | 4.1505168018021843e-76 | 4.779971243252371e-76 |
| 7.0ms | 2.2297822737393232e-274 | 6.714797168112173e-274 |
| 12.0ms | -566.2468719161059 | -2.720982543509952e-8 |
| 1.0ms | -2.6719167409450527e+147 | -1.6379971242272872e+140 |
| 20.0ms | 336× | 0 | valid |
Compiled 1 207 to 741 computations (38.6% saved)
ival-mult: 8.0ms (64.6% of total)ival-div: 2.0ms (16.2% 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)| 6× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.3343318996953777e+98 | 7.2086925854502e+120 |
| 0.0ms | 2.1772364991575757e+32 | 1.2097864637094313e+33 |
| 0.0ms | 4.1505168018021843e-76 | 4.779971243252371e-76 |
| 0.0ms | 2.2297822737393232e-274 | 6.714797168112173e-274 |
| 1.0ms | -566.2468719161059 | -2.720982543509952e-8 |
| 1.0ms | -2.6719167409450527e+147 | -1.6379971242272872e+140 |
Compiled 1 207 to 741 computations (38.6% saved)
| 6× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.3343318996953777e+98 | 7.2086925854502e+120 |
| 0.0ms | 2.1772364991575757e+32 | 1.2097864637094313e+33 |
| 0.0ms | 4.1505168018021843e-76 | 4.779971243252371e-76 |
| 0.0ms | 2.2297822737393232e-274 | 6.714797168112173e-274 |
| 13.0ms | -7.125255233046785e-16 | -8.153392399594044e-19 |
| 14.0ms | -3.4991800417835476e+115 | -5.32835796852624e+109 |
| 17.0ms | 272× | 0 | valid |
Compiled 1 155 to 709 computations (38.6% saved)
ival-mult: 6.0ms (59% of total)ival-sub: 1.0ms (9.8% of total)ival-div: 1.0ms (9.8% of total)ival-add: 1.0ms (9.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 5.0ms | 2.4892309525573732e+92 | 3.52585558787862e+92 |
| 14.0ms | 2.733679771428117e-143 | 1.9401373048077112e-140 |
| 15.0ms | -3.7052591287674826e+35 | -8.489563284889862e+20 |
| 23.0ms | 336× | 0 | valid |
Compiled 495 to 321 computations (35.2% saved)
ival-mult: 8.0ms (54.5% of total)ival-add: 3.0ms (20.4% of total)ival-div: 2.0ms (13.6% of total)ival-sub: 1.0ms (6.8% 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 | 1.3343318996953777e+98 | 7.2086925854502e+120 |
| 3.0ms | -3.540005855511969e+21 | -3.0677823944992946e+21 |
| 2.0ms | 32× | 0 | valid |
Compiled 269 to 187 computations (30.5% saved)
ival-mult: 1.0ms (84.8% 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 |
| 40× | *-commutative_binary64 |
| 30× | +-commutative_binary64 |
| 30× | sub-neg_binary64 |
| 24× | neg-sub0_binary64 |
| 24× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 156 | 1433 |
| 1 | 182 | 1433 |
| 2 | 215 | 1433 |
| 3 | 243 | 1433 |
| 4 | 258 | 1433 |
| 5 | 265 | 1433 |
| 6 | 267 | 1433 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 d #s(literal -2049999999999999989573846232352035776821196178697250651067489425019435520569239198640248467750912 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) (if (<=.f64 d #s(literal -2286436926500971/762145642166990290864647761179972242614403843424065222377723867096038022172794340849684107193235344521442121855812163792833978437326241529856 binary64)) (fma.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a)) (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c))))) (if (<=.f64 d #s(literal 1728350240969163/104748499452676539840422070298483172870932545473378073263465323779076281484949585756264642954428933028828373892081922272294952209468332577706512882860032 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 3299999999999999901769111739011736018984465032194466395784954105955412698285672677139571626322898877530078145803759462601031942144 binary64)) (fma.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a)) (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c))))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)))))) |
(if (<=.f64 d #s(literal -1249999999999999929764936246801703851974644303564149620736 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) (if (<=.f64 d #s(literal -1067993517960455/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 binary64)) (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) (if (<=.f64 d #s(literal 6478435864142203/1799565517817278553124215403074392743547878847320766653240302229044735032268595148127616274441556342859968364253408358049283306422197719875603406072346065542053888 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 330000000000000005568319844367767044194946542338045782187768563121106374495869378747442229623387782836705570394796118450192252928 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 c d) b (neg.f64 a)) d)))))) |
(if (<=.f64 d #s(literal -1249999999999999929764936246801703851974644303564149620736 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) (if (<=.f64 d #s(literal -1067993517960455/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 binary64)) (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) (if (<=.f64 d #s(literal 6365737426045269/15914343565113172548972231940698266883214596825515126958094847260581103904401068017057792 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 1119999999999999986777879013041791369912345397252997303557546065923589599333075530068255671475530764805423416643309027721216 binary64)) (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)))))) |
(if (<=.f64 d #s(literal -8782019273372467/2251799813685248 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) (if (<=.f64 d #s(literal 7500000000000000566744330102353856240897568728629732885341421453818644277702227749399319539626445820041618410772354826240 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)))) |
(if (<=.f64 d #s(literal -8782019273372467/2251799813685248 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) (if (<=.f64 d #s(literal 719999999999999961912024847271049685275699592604328140682881188328286599675050988036510566248873984 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 c (/.f64 b d) (neg.f64 a)) d)))) |
(if (<=.f64 d #s(literal -8782019273372467/2251799813685248 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 7500000000000000566744330102353856240897568728629732885341421453818644277702227749399319539626445820041618410772354826240 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 -23999999999999999053586637635305902245862533314639472182561634131936008762652473093015235370984486459118299921010831013808223421559783613792256 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 d #s(literal -8782019273372467/2251799813685248 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) (if (<=.f64 d #s(literal 1649999999999999958246359103203347295098366674227809696829679680203510153594678534172572565484077056 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 (neg.f64 a) d))))) |
(if (<=.f64 d #s(literal -23999999999999999053586637635305902245862533314639472182561634131936008762652473093015235370984486459118299921010831013808223421559783613792256 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 d #s(literal -1261007895663739/72057594037927936 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) (if (<=.f64 d #s(literal 5652282126611999/9745314011399999080353382387875188310876226857595007526867906457212948690766426102465615065882010259225304916231408668183459169865203094046577987296312653419531277699956473029870789655490053648352799593479218378873685597925394874945746363615468965612827738803104277547081828589991914110976 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 d #s(literal 1914813817754417/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752 binary64)) (/.f64 (fma.f64 (neg.f64 d) a (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (if (<=.f64 d #s(literal 1199999999999999992336352414793728 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 d #s(literal 1649999999999999958246359103203347295098366674227809696829679680203510153594678534172572565484077056 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 (neg.f64 a) d)))))))) |
(if (<=.f64 d #s(literal -23999999999999999053586637635305902245862533314639472182561634131936008762652473093015235370984486459118299921010831013808223421559783613792256 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 d #s(literal -1261007895663739/72057594037927936 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) (if (<=.f64 d #s(literal 5652282126611999/9745314011399999080353382387875188310876226857595007526867906457212948690766426102465615065882010259225304916231408668183459169865203094046577987296312653419531277699956473029870789655490053648352799593479218378873685597925394874945746363615468965612827738803104277547081828589991914110976 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 d #s(literal 1914813817754417/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (if (<=.f64 d #s(literal 1199999999999999992336352414793728 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 d #s(literal 1649999999999999958246359103203347295098366674227809696829679680203510153594678534172572565484077056 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 (neg.f64 a) d)))))))) |
(if (<=.f64 d #s(literal -34000000000000000529020148401872662825118847495316088734572199734648348559601693911009503257111613220991013549506560 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 d #s(literal -6230756230241793/1298074214633706907132624082305024 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 d #s(literal 5652282126611999/9745314011399999080353382387875188310876226857595007526867906457212948690766426102465615065882010259225304916231408668183459169865203094046577987296312653419531277699956473029870789655490053648352799593479218378873685597925394874945746363615468965612827738803104277547081828589991914110976 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 d #s(literal 1914813817754417/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (if (<=.f64 d #s(literal 1199999999999999992336352414793728 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 d #s(literal 1649999999999999958246359103203347295098366674227809696829679680203510153594678534172572565484077056 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 (neg.f64 a) d)))))))) |
(if (<=.f64 c #s(literal -1800000000000000092087320051712 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 c #s(literal 2059439298039183/107262463439540776796592199985646769019834926564739147021788491549774112240588375814414994385335227421520254865491888406830031062495572559571469192048672768 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 c #s(literal 259999999999999988119679365937749294341279262749922650411864252099277563459800287262118248448 binary64)) (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) (fma.f64 d d (*.f64 c c))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))))) |
(if (<=.f64 d #s(literal -3100000000000000000000 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 d #s(literal 1649999999999999958246359103203347295098366674227809696829679680203510153594678534172572565484077056 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
| Outputs |
|---|
(if (<=.f64 d #s(literal -2049999999999999989573846232352035776821196178697250651067489425019435520569239198640248467750912 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) (if (<=.f64 d #s(literal -2286436926500971/762145642166990290864647761179972242614403843424065222377723867096038022172794340849684107193235344521442121855812163792833978437326241529856 binary64)) (fma.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a)) (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c))))) (if (<=.f64 d #s(literal 1728350240969163/104748499452676539840422070298483172870932545473378073263465323779076281484949585756264642954428933028828373892081922272294952209468332577706512882860032 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 3299999999999999901769111739011736018984465032194466395784954105955412698285672677139571626322898877530078145803759462601031942144 binary64)) (fma.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a)) (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c))))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)))))) |
(if (<=.f64 d #s(literal -2049999999999999989573846232352035776821196178697250651067489425019435520569239198640248467750912 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) (if (<=.f64 d #s(literal -2286436926500971/762145642166990290864647761179972242614403843424065222377723867096038022172794340849684107193235344521442121855812163792833978437326241529856 binary64)) (fma.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a)) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)) (if (<=.f64 d #s(literal 1728350240969163/104748499452676539840422070298483172870932545473378073263465323779076281484949585756264642954428933028828373892081922272294952209468332577706512882860032 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 3299999999999999901769111739011736018984465032194466395784954105955412698285672677139571626322898877530078145803759462601031942144 binary64)) (fma.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) a)) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)))))) |
(if (<=.f64 d #s(literal -1249999999999999929764936246801703851974644303564149620736 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) (if (<=.f64 d #s(literal -1067993517960455/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 binary64)) (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) (if (<=.f64 d #s(literal 6478435864142203/1799565517817278553124215403074392743547878847320766653240302229044735032268595148127616274441556342859968364253408358049283306422197719875603406072346065542053888 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 330000000000000005568319844367767044194946542338045782187768563121106374495869378747442229623387782836705570394796118450192252928 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 c d) b (neg.f64 a)) d)))))) |
(if (<=.f64 d #s(literal -1249999999999999929764936246801703851974644303564149620736 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) (if (<=.f64 d #s(literal -1067993517960455/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 binary64)) (/.f64 (fma.f64 (neg.f64 d) a (*.f64 c b)) (fma.f64 d d (*.f64 c c))) (if (<=.f64 d #s(literal 6478435864142203/1799565517817278553124215403074392743547878847320766653240302229044735032268595148127616274441556342859968364253408358049283306422197719875603406072346065542053888 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 330000000000000005568319844367767044194946542338045782187768563121106374495869378747442229623387782836705570394796118450192252928 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 c d) b (neg.f64 a)) d)))))) |
(if (<=.f64 d #s(literal -1249999999999999929764936246801703851974644303564149620736 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) (if (<=.f64 d #s(literal -1067993517960455/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 binary64)) (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) (if (<=.f64 d #s(literal 6365737426045269/15914343565113172548972231940698266883214596825515126958094847260581103904401068017057792 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 1119999999999999986777879013041791369912345397252997303557546065923589599333075530068255671475530764805423416643309027721216 binary64)) (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)))))) |
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(if (<=.f64 c #s(literal -1800000000000000092087320051712 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 c #s(literal 2059439298039183/107262463439540776796592199985646769019834926564739147021788491549774112240588375814414994385335227421520254865491888406830031062495572559571469192048672768 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 c #s(literal 259999999999999988119679365937749294341279262749922650411864252099277563459800287262118248448 binary64)) (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) (fma.f64 d d (*.f64 c c))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))))) |
(if (<=.f64 c #s(literal -1800000000000000092087320051712 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 c #s(literal 2059439298039183/107262463439540776796592199985646769019834926564739147021788491549774112240588375814414994385335227421520254865491888406830031062495572559571469192048672768 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 c #s(literal 259999999999999988119679365937749294341279262749922650411864252099277563459800287262118248448 binary64)) (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))))) |
(if (<=.f64 d #s(literal -3100000000000000000000 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 d #s(literal 1649999999999999958246359103203347295098366674227809696829679680203510153594678534172572565484077056 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
| 7 930× | lower-fma.f64 |
| 7 930× | lower-fma.f32 |
| 7 666× | lower-fma.f64 |
| 7 666× | lower-fma.f32 |
| 7 000× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 202 |
| 0 | 51 | 190 |
| 1 | 192 | 190 |
| 2 | 1502 | 190 |
| 0 | 8149 | 190 |
| 0 | 11 | 35 |
| 0 | 18 | 35 |
| 1 | 65 | 35 |
| 2 | 505 | 35 |
| 3 | 6376 | 35 |
| 0 | 8178 | 33 |
| 0 | 191 | 1511 |
| 1 | 623 | 1461 |
| 2 | 1861 | 1441 |
| 3 | 5489 | 1432 |
| 0 | 8501 | 1356 |
| 0 | 33 | 204 |
| 0 | 52 | 205 |
| 1 | 222 | 191 |
| 2 | 1718 | 191 |
| 0 | 8585 | 191 |
| 0 | 793 | 10478 |
| 1 | 2663 | 10085 |
| 0 | 8319 | 9622 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 1 579 to 610 computations (61.4% saved)
Compiled 1 576 to 336 computations (78.7% saved)
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