
Time bar (total: 7.4s)
| 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)
| 545.0ms | 8 256× | 0 | valid |
ival-mult: 221.0ms (63.5% of total)ival-div: 51.0ms (14.6% of total)ival-sub: 35.0ms (10.1% of total)ival-add: 33.0ms (9.5% of total)ival-true: 5.0ms (1.4% of total)ival-assert: 3.0ms (0.9% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 101 | 1 | (-2.4140332196222713e-292 -6.041315198562034e+246 2.0576194968288578e-64 -5.343041864300763e+252) | 0 | - | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 2 | 0 | - | 0 | - | (-.f64 (*.f64 b c) (*.f64 a d)) |
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 c c) (*.f64 d d)) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | d |
| 0 | 0 | - | 0 | - | (*.f64 d d) |
| 0 | 0 | - | 0 | - | (*.f64 c c) |
| 0 | 0 | - | 0 | - | (*.f64 b c) |
| 0 | 0 | - | 0 | - | c |
| 0 | 0 | - | 0 | - | (*.f64 a d) |
| 0 | 0 | - | 0 | - | b |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) | o/o | 47 | 0 |
| ↳ | (*.f64 b c) | overflow | 33 | |
| ↳ | (-.f64 (*.f64 b c) (*.f64 a d)) | overflow | 62 | |
| ↳ | (*.f64 a d) | overflow | 32 | |
| ↳ | (+.f64 (*.f64 c c) (*.f64 d d)) | overflow | 105 | |
| ↳ | (*.f64 c c) | overflow | 56 | |
| ↳ | (*.f64 d d) | overflow | 61 | |
/.f64 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) | n/o | 31 | 0 |
| ↳ | (+.f64 (*.f64 c c) (*.f64 d d)) | overflow | 105 | |
| ↳ | (*.f64 c c) | overflow | 56 | |
| ↳ | (*.f64 d d) | overflow | 61 | |
/.f64 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) | o/n | 15 | 0 |
| ↳ | (*.f64 b c) | overflow | 33 | |
| ↳ | (-.f64 (*.f64 b c) (*.f64 a d)) | overflow | 62 | |
| ↳ | (*.f64 a d) | overflow | 32 | |
/.f64 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) | n/u | 4 | 0 |
| ↳ | (+.f64 (*.f64 c c) (*.f64 d d)) | underflow | 16 | |
| ↳ | (*.f64 c c) | underflow | 65 | |
| ↳ | (*.f64 d d) | underflow | 51 | |
/.f64 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) | u/n | 3 | 0 |
| ↳ | (*.f64 b c) | underflow | 27 | |
| ↳ | (-.f64 (*.f64 b c) (*.f64 a d)) | underflow | 5 | |
| ↳ | (*.f64 a d) | underflow | 23 | |
-.f64 | (-.f64 (*.f64 b c) (*.f64 a d)) | nan-rescue | 2 | 0 |
| ↳ | (*.f64 b c) | overflow | 33 | |
| ↳ | (*.f64 a d) | overflow | 32 | |
/.f64 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) | u/u | 2 | 0 |
| ↳ | (*.f64 b c) | underflow | 27 | |
| ↳ | (-.f64 (*.f64 b c) (*.f64 a d)) | underflow | 5 | |
| ↳ | (*.f64 a d) | underflow | 23 | |
| ↳ | (+.f64 (*.f64 c c) (*.f64 d d)) | underflow | 16 | |
| ↳ | (*.f64 c c) | underflow | 65 | |
| ↳ | (*.f64 d d) | underflow | 51 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 101 | 0 |
| - | 1 | 154 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 101 | 0 | 0 |
| - | 1 | 0 | 154 |
| number | freq |
|---|---|
| 0 | 154 |
| 1 | 100 |
| 2 | 2 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 57.0ms | 512× | 0 | valid |
Compiled 109 to 37 computations (66.1% saved)
ival-mult: 12.0ms (60.2% of total)ival-div: 3.0ms (15.1% of total)ival-sub: 2.0ms (10% of total)ival-add: 2.0ms (10% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 1 350× | unsub-neg |
| 982× | div-sub |
| 876× | distribute-rgt-in |
| 874× | distribute-lft-in |
| 752× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 214 |
| 1 | 202 | 214 |
| 2 | 402 | 214 |
| 3 | 976 | 214 |
| 4 | 2796 | 214 |
| 5 | 4580 | 214 |
| 6 | 5390 | 214 |
| 7 | 5495 | 214 |
| 8 | 5515 | 214 |
| 9 | 5531 | 214 |
| 10 | 5531 | 214 |
| 11 | 5995 | 214 |
| 12 | 6203 | 214 |
| 13 | 6203 | 214 |
| 14 | 6203 | 214 |
| 15 | 6299 | 214 |
| 16 | 6299 | 214 |
| 17 | 6371 | 214 |
| 18 | 6403 | 214 |
| 19 | 6403 | 214 |
| 20 | 6403 | 214 |
| 0 | 11 | 15 |
| 0 | 18 | 15 |
| 1 | 29 | 15 |
| 2 | 51 | 15 |
| 3 | 81 | 15 |
| 4 | 140 | 15 |
| 5 | 239 | 15 |
| 6 | 382 | 15 |
| 7 | 630 | 15 |
| 8 | 1092 | 15 |
| 9 | 1766 | 15 |
| 10 | 2007 | 15 |
| 11 | 2047 | 15 |
| 12 | 2075 | 15 |
| 13 | 2075 | 15 |
| 0 | 2075 | 14 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 (fma.f64 (neg.f64 a) d (*.f64 c b)) (fma.f64 d d (*.f64 c c))) |
Compiled 15 to 11 computations (26.7% saved)
Compiled 0 to 4 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 62.2% | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
Compiled 15 to 11 computations (26.7% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 b c) | |
| cost-diff | 0 | (-.f64 (*.f64 b c) (*.f64 a d)) | |
| cost-diff | 0 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) | |
| cost-diff | 128 | (+.f64 (*.f64 c c) (*.f64 d d)) |
| 752× | lower-fma.f64 |
| 752× | lower-fma.f32 |
| 636× | times-frac |
| 512× | lower-*.f32 |
| 504× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 45 |
| 0 | 18 | 45 |
| 1 | 29 | 45 |
| 2 | 51 | 45 |
| 3 | 81 | 45 |
| 4 | 140 | 45 |
| 5 | 239 | 45 |
| 6 | 382 | 45 |
| 7 | 630 | 45 |
| 8 | 1092 | 45 |
| 9 | 1766 | 45 |
| 10 | 2007 | 45 |
| 11 | 2047 | 45 |
| 12 | 2075 | 45 |
| 13 | 2075 | 45 |
| 0 | 2075 | 43 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(-.f64 (*.f64 b c) (*.f64 a d)) |
(*.f64 b c) |
b |
c |
(*.f64 a d) |
a |
d |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(*.f64 c c) |
(*.f64 d d) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 (fma.f64 (neg.f64 a) d (*.f64 c b)) (fma.f64 d d (*.f64 c c))) |
(-.f64 (*.f64 b c) (*.f64 a d)) |
(fma.f64 (neg.f64 a) d (*.f64 c b)) |
(*.f64 b c) |
(*.f64 c b) |
b |
c |
(*.f64 a d) |
(*.f64 d a) |
a |
d |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(fma.f64 d d (*.f64 c c)) |
(*.f64 c c) |
(*.f64 d d) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 a d) | |
| accuracy | 0.0078125 | (+.f64 (*.f64 c c) (*.f64 d d)) | |
| accuracy | 0.5156208716604116 | (-.f64 (*.f64 b c) (*.f64 a d)) | |
| accuracy | 23.95416351192377 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 22.0ms | 256× | 0 | valid |
Compiled 47 to 13 computations (72.3% saved)
ival-mult: 6.0ms (61.7% of total)ival-sub: 1.0ms (10.3% of total)ival-div: 1.0ms (10.3% of total)ival-add: 1.0ms (10.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ()) |
#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ()) |
#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (pow d 2) (taylor 0 c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a d)) (taylor 0 c) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (- (* b c) (* a d)) (taylor 0 c) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (- (* b c) (* a d)) (taylor 0 c) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (- (* b c) (* a d)) (taylor 0 c) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* b c) (taylor 0 c) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (* b c) (taylor 0 c) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (* b c) (taylor 0 c) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (* b c) (taylor 0 c) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (pow c 2) (taylor inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor inf c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ b (* -1 (/ (* a d) c))) c) (taylor inf c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) (taylor inf c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) (taylor inf c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* b c) (taylor inf c) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ b (* -1 (/ (* a d) c)))) (taylor inf c) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ b (* -1 (/ (* a d) c)))) (taylor inf c) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ b (* -1 (/ (* a d) c)))) (taylor inf c) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* b c) (taylor inf c) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (* b c) (taylor inf c) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (* b c) (taylor inf c) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (* b c) (taylor inf c) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (pow c 2) (taylor -inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor -inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor -inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor -inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor -inf c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) (taylor -inf c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) (taylor -inf c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) (taylor -inf c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* b c) (taylor -inf c) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 b) (/ (* a d) c)))) (taylor -inf c) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 b) (/ (* a d) c)))) (taylor -inf c) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
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#s(alt (* a d) (taylor 0 d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor 0 d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor 0 d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor 0 d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (pow d 2) (taylor inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor inf d) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 a) (/ (* b c) d)) d) (taylor inf d) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) (taylor inf d) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) (taylor inf d) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a d)) (taylor inf d) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* d (- (/ (* b c) d) a)) (taylor inf d) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* d (- (/ (* b c) d) a)) (taylor inf d) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* d (- (/ (* b c) d) a)) (taylor inf d) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (pow d 2) (taylor -inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor -inf d) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) (taylor -inf d) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) (taylor -inf d) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) (taylor -inf d) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a d)) (taylor -inf d) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) (taylor -inf d) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) (taylor -inf d) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) (taylor -inf d) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor -inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor -inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor -inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor -inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | d | @ | inf | ((+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (* a d)) |
| 1.0ms | b | @ | inf | ((+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (* a d)) |
| 1.0ms | c | @ | inf | ((+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (* a d)) |
| 1.0ms | c | @ | 0 | ((+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (* a d)) |
| 1.0ms | c | @ | -inf | ((+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (* a d)) |
| 1× | egg-herbie |
| 7 930× | lower-fma.f64 |
| 7 930× | lower-fma.f32 |
| 3 586× | lower-*.f64 |
| 3 586× | lower-*.f32 |
| 2 316× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 191 | 1511 |
| 1 | 623 | 1461 |
| 2 | 1861 | 1441 |
| 3 | 5489 | 1432 |
| 0 | 8501 | 1356 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow d 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(* -1 (* a d)) |
(- (* b c) (* a d)) |
(- (* b c) (* a d)) |
(- (* b c) (* a d)) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(* b c) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) |
(* b c) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a d)) |
(- (* b c) (* a d)) |
(- (* b c) (* a d)) |
(- (* b c) (* a d)) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b c) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* b c) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* b c) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a d)) |
(* a (- (/ (* b c) a) d)) |
(* a (- (/ (* b c) a) d)) |
(* a (- (/ (* b c) a) d)) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a d)) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(pow c 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(* b c) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(* -1 (* a d)) |
(* d (- (/ (* b c) d) a)) |
(* d (- (/ (* b c) d) a)) |
(* d (- (/ (* b c) d) a)) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(* -1 (* a d)) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
| Outputs |
|---|
(pow d 2) |
(*.f64 d d) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(/.f64 (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) d) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) (neg.f64 b) (/.f64 a (pow.f64 d #s(literal 3 binary64)))) c (/.f64 b (*.f64 d d))) c (/.f64 (neg.f64 a) d)) |
(* -1 (* a d)) |
(*.f64 (neg.f64 a) d) |
(- (* b c) (* a d)) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(- (* b c) (* a d)) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(- (* b c) (* a d)) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(pow c 2) |
(*.f64 c c) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(fma.f64 c c (*.f64 d d)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(fma.f64 c c (*.f64 d d)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(fma.f64 c c (*.f64 d d)) |
(/ b c) |
(/.f64 b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/.f64 (-.f64 b (/.f64 (fma.f64 a d (/.f64 (*.f64 b (*.f64 d d)) c)) c)) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(/.f64 (fma.f64 (pow.f64 (/.f64 d c) #s(literal 3 binary64)) a (-.f64 b (/.f64 (fma.f64 a d (/.f64 (*.f64 b (*.f64 d d)) c)) c))) c) |
(* b c) |
(*.f64 b c) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(pow c 2) |
(*.f64 c c) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(fma.f64 c c (*.f64 d d)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(fma.f64 c c (*.f64 d d)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(fma.f64 c c (*.f64 d d)) |
(/ b c) |
(/.f64 b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(/.f64 (-.f64 b (/.f64 (fma.f64 a d (/.f64 (*.f64 b (*.f64 d d)) c)) c)) c) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) |
(/.f64 (fma.f64 (pow.f64 (/.f64 d c) #s(literal 3 binary64)) a (-.f64 b (/.f64 (fma.f64 a d (/.f64 (*.f64 b (*.f64 d d)) c)) c))) c) |
(* b c) |
(*.f64 b c) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(* -1 (* a d)) |
(*.f64 (neg.f64 a) d) |
(- (* b c) (* a d)) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(- (* b c) (* a d)) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(- (* b c) (* a d)) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(* b c) |
(*.f64 b c) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(* b c) |
(*.f64 b c) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(* b c) |
(*.f64 b c) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) a) c (/.f64 (neg.f64 d) (fma.f64 c c (*.f64 d d)))) a) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) a) c (/.f64 (neg.f64 d) (fma.f64 c c (*.f64 d d)))) a) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) a) c (/.f64 (neg.f64 d) (fma.f64 c c (*.f64 d d)))) a) |
(* -1 (* a d)) |
(*.f64 (neg.f64 a) d) |
(* a (- (/ (* b c) a) d)) |
(*.f64 (-.f64 (/.f64 (*.f64 b c) a) d) a) |
(* a (- (/ (* b c) a) d)) |
(*.f64 (-.f64 (/.f64 (*.f64 b c) a) d) a) |
(* a (- (/ (* b c) a) d)) |
(*.f64 (-.f64 (/.f64 (*.f64 b c) a) d) a) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) a) c (/.f64 (neg.f64 d) (fma.f64 c c (*.f64 d d)))) a) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) a) c (/.f64 (neg.f64 d) (fma.f64 c c (*.f64 d d)))) a) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) a) c (/.f64 (neg.f64 d) (fma.f64 c c (*.f64 d d)))) a) |
(* -1 (* a d)) |
(*.f64 (neg.f64 a) d) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(*.f64 (-.f64 (/.f64 (*.f64 b c) a) d) a) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(*.f64 (-.f64 (/.f64 (*.f64 b c) a) d) a) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(*.f64 (-.f64 (/.f64 (*.f64 b c) a) d) a) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(pow c 2) |
(*.f64 c c) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(/ b c) |
(/.f64 b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(/.f64 (-.f64 b (/.f64 (fma.f64 a d (/.f64 (*.f64 b (*.f64 d d)) c)) c)) c) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 a (pow.f64 c #s(literal 4 binary64))) d) (/.f64 b (pow.f64 c #s(literal 3 binary64)))) d (/.f64 (/.f64 (neg.f64 a) c) c)) d (/.f64 b c)) |
(* b c) |
(*.f64 b c) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(pow d 2) |
(*.f64 d d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(fma.f64 c c (*.f64 d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(fma.f64 c c (*.f64 d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(fma.f64 c c (*.f64 d d)) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/.f64 (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(/.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) d) |
(* -1 (* a d)) |
(*.f64 (neg.f64 a) d) |
(* d (- (/ (* b c) d) a)) |
(*.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) |
(* d (- (/ (* b c) d) a)) |
(*.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) |
(* d (- (/ (* b c) d) a)) |
(*.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(pow d 2) |
(*.f64 d d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(fma.f64 c c (*.f64 d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(fma.f64 c c (*.f64 d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(fma.f64 c c (*.f64 d d)) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(/.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) d) |
(* -1 (* a d)) |
(*.f64 (neg.f64 a) d) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(*.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(*.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(*.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
| 5 586× | lower-fma.f64 |
| 5 586× | lower-fma.f32 |
| 5 346× | lower-*.f32 |
| 5 338× | lower-*.f64 |
| 3 234× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 35 |
| 0 | 18 | 35 |
| 1 | 65 | 35 |
| 2 | 505 | 35 |
| 3 | 6376 | 35 |
| 0 | 8178 | 33 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 c c) (*.f64 d d)) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(-.f64 (*.f64 b c) (*.f64 a d)) |
(*.f64 b c) |
(*.f64 a d) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (-.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (fma.f64 (*.f64 d d) (fma.f64 d d (*.f64 c c)) (pow.f64 c #s(literal 4 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))) (-.f64 (pow.f64 c #s(literal 8 binary64)) (pow.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) #s(literal 2 binary64)))) (-.f64 (pow.f64 c #s(literal 4 binary64)) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))) (+.f64 (pow.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 c #s(literal 12 binary64)))) (fma.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (-.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))) (pow.f64 c #s(literal 8 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (fma.f64 d d (*.f64 c c))) |
(*.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (+.f64 d c)) (+.f64 d c)) |
(*.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (pow.f64 (*.f64 (+.f64 d c) (-.f64 d c)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (-.f64 c d) (+.f64 d c)) #s(literal -1 binary64)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) |
(*.f64 (pow.f64 (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (pow.f64 (neg.f64 (*.f64 (-.f64 c d) (+.f64 d c))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (pow.f64 (neg.f64 (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64)))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
(*.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (pow.f64 (*.f64 (-.f64 c d) (+.f64 d c)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (pow.f64 (*.f64 (-.f64 c d) (+.f64 d c)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) |
(*.f64 (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))) (*.f64 (fma.f64 d d (*.f64 c c)) (pow.f64 (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(*.f64 (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))) (/.f64 (fma.f64 d d (*.f64 c c)) (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))))) |
(*.f64 (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))) (/.f64 (pow.f64 (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (*.f64 (-.f64 c d) (+.f64 d c)) (pow.f64 (*.f64 (-.f64 c d) (+.f64 d c)) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 d d (*.f64 c c)) (/.f64 (*.f64 (-.f64 c d) (+.f64 d c)) (*.f64 (-.f64 c d) (+.f64 d c)))) |
(*.f64 (fma.f64 d d (*.f64 c c)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal 1 binary64)) |
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(fma.f64 (neg.f64 d) a (*.f64 b c)) |
(fma.f64 (*.f64 b b) (/.f64 (*.f64 c c) (fma.f64 a d (*.f64 b c))) (neg.f64 (/.f64 (pow.f64 (*.f64 a d) #s(literal 2 binary64)) (fma.f64 a d (*.f64 b c))))) |
(fma.f64 (pow.f64 (*.f64 b c) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 b c) #s(literal 3/2 binary64)) (fma.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d) (pow.f64 (*.f64 b c) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 a d) #s(literal 3 binary64)) (fma.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d) (pow.f64 (*.f64 b c) #s(literal 2 binary64)))))) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (fma.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d) (pow.f64 (*.f64 b c) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 a d) #s(literal 3 binary64)) (fma.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d) (pow.f64 (*.f64 b c) #s(literal 2 binary64)))))) |
(fma.f64 (pow.f64 c #s(literal 3 binary64)) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d) (pow.f64 (*.f64 b c) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 a d) #s(literal 3 binary64)) (fma.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d) (pow.f64 (*.f64 b c) #s(literal 2 binary64)))))) |
(fma.f64 #s(literal -1 binary64) (*.f64 a d) (*.f64 b c)) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(fma.f64 (pow.f64 (*.f64 b c) #s(literal 2 binary64)) (/.f64 (*.f64 b c) (fma.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d) (pow.f64 (*.f64 b c) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 a d) #s(literal 3 binary64)) (fma.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d) (pow.f64 (*.f64 b c) #s(literal 2 binary64)))))) |
(fma.f64 (pow.f64 (*.f64 b c) #s(literal 2 binary64)) (pow.f64 (fma.f64 a d (*.f64 b c)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 a d) #s(literal 2 binary64)) (fma.f64 a d (*.f64 b c))))) |
(fma.f64 (pow.f64 (*.f64 b c) #s(literal 3 binary64)) (pow.f64 (fma.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d) (pow.f64 (*.f64 b c) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 a d) #s(literal 3 binary64)) (fma.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d) (pow.f64 (*.f64 b c) #s(literal 2 binary64)))))) |
(fma.f64 (*.f64 a d) #s(literal -1 binary64) (*.f64 b c)) |
(fma.f64 a (neg.f64 d) (*.f64 b c)) |
(fma.f64 (*.f64 b c) (/.f64 (pow.f64 (*.f64 b c) #s(literal 2 binary64)) (fma.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d) (pow.f64 (*.f64 b c) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 a d) #s(literal 3 binary64)) (fma.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d) (pow.f64 (*.f64 b c) #s(literal 2 binary64)))))) |
(fma.f64 (*.f64 b c) (/.f64 (*.f64 b c) (fma.f64 a d (*.f64 b c))) (neg.f64 (/.f64 (pow.f64 (*.f64 a d) #s(literal 2 binary64)) (fma.f64 a d (*.f64 b c))))) |
(fma.f64 b (/.f64 (*.f64 (*.f64 b c) c) (fma.f64 a d (*.f64 b c))) (neg.f64 (/.f64 (pow.f64 (*.f64 a d) #s(literal 2 binary64)) (fma.f64 a d (*.f64 b c))))) |
(fma.f64 b c (*.f64 (neg.f64 d) a)) |
(fma.f64 d (neg.f64 a) (*.f64 b c)) |
(fma.f64 (*.f64 c c) (/.f64 (*.f64 b b) (fma.f64 a d (*.f64 b c))) (neg.f64 (/.f64 (pow.f64 (*.f64 a d) #s(literal 2 binary64)) (fma.f64 a d (*.f64 b c))))) |
(fma.f64 c (/.f64 (*.f64 (*.f64 b b) c) (fma.f64 a d (*.f64 b c))) (neg.f64 (/.f64 (pow.f64 (*.f64 a d) #s(literal 2 binary64)) (fma.f64 a d (*.f64 b c))))) |
(fma.f64 c b (*.f64 (neg.f64 d) a)) |
(-.f64 (fma.f64 b c #s(literal 0 binary64)) (*.f64 a d)) |
(-.f64 (/.f64 (pow.f64 (*.f64 b c) #s(literal 2 binary64)) (fma.f64 a d (*.f64 b c))) (/.f64 (pow.f64 (*.f64 a d) #s(literal 2 binary64)) (fma.f64 a d (*.f64 b c)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 b c) #s(literal 3 binary64)) (fma.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d) (pow.f64 (*.f64 b c) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 a d) #s(literal 3 binary64)) (fma.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d) (pow.f64 (*.f64 b c) #s(literal 2 binary64))))) |
(-.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d))) |
(-.f64 (*.f64 b c) (*.f64 a d)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (neg.f64 (*.f64 (neg.f64 b) c)) (*.f64 (neg.f64 d) a)) |
(+.f64 (/.f64 (pow.f64 (*.f64 b c) #s(literal 2 binary64)) (fma.f64 a d (*.f64 b c))) (neg.f64 (/.f64 (pow.f64 (*.f64 a d) #s(literal 2 binary64)) (fma.f64 a d (*.f64 b c))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 b c) #s(literal 3 binary64)) (fma.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d) (pow.f64 (*.f64 b c) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 a d) #s(literal 3 binary64)) (fma.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d) (pow.f64 (*.f64 b c) #s(literal 2 binary64)))))) |
(+.f64 (*.f64 (neg.f64 d) a) (*.f64 b c)) |
(+.f64 (*.f64 b c) (*.f64 (neg.f64 d) a)) |
(*.f64 b c) |
(*.f64 c b) |
(*.f64 (neg.f64 (neg.f64 d)) a) |
(*.f64 (neg.f64 (neg.f64 a)) d) |
(*.f64 (neg.f64 d) (neg.f64 a)) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 d) a)) |
(*.f64 (neg.f64 a) (neg.f64 d)) |
(*.f64 #s(literal 1 binary64) (*.f64 a d)) |
(*.f64 a (neg.f64 (neg.f64 d))) |
(*.f64 a d) |
(*.f64 d (neg.f64 (neg.f64 a))) |
(*.f64 d a) |
(neg.f64 (*.f64 (neg.f64 d) a)) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 d) a)) |
Compiled 18 441 to 1 350 computations (92.7% saved)
15 alts after pruning (15 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 631 | 15 | 646 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 632 | 15 | 647 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 62.2% | (/.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
| 26.2% | (/.f64 (-.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (/.f64 (/.f64 (fma.f64 d d (*.f64 c c)) b) c) (*.f64 a d))) (*.f64 (/.f64 (/.f64 (fma.f64 d d (*.f64 c c)) b) c) (fma.f64 d d (*.f64 c c)))) | |
| 36.9% | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| 36.3% | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| 62.1% | (*.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c)))) | |
| ▶ | 49.5% | (*.f64 (fma.f64 a d (*.f64 b c)) (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 d d (*.f64 c c))))) |
| 40.7% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 a (pow.f64 c #s(literal 4 binary64))) d) (/.f64 b (pow.f64 c #s(literal 3 binary64)))) d (/.f64 (/.f64 (neg.f64 a) c) c)) d (/.f64 b c))) | |
| 50.5% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) d)) | |
| 53.4% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) | |
| ▶ | 53.9% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
| 41.9% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) | |
| ▶ | 42.4% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
| 56.8% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (fma.f64 (/.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) a) c (/.f64 (neg.f64 d) (fma.f64 c c (*.f64 d d)))) a)) | |
| 38.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) | |
| ▶ | 43.3% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
Compiled 498 to 332 computations (33.3% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 d d (*.f64 c c)))) | |
| cost-diff | 0 | (*.f64 b c) | |
| cost-diff | 0 | (fma.f64 a d (*.f64 b c)) | |
| cost-diff | 2048 | (*.f64 (fma.f64 a d (*.f64 b c)) (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 d d (*.f64 c c))))) | |
| cost-diff | 0 | (/.f64 (*.f64 a d) c) | |
| cost-diff | 0 | (-.f64 b (/.f64 (*.f64 a d) c)) | |
| cost-diff | 0 | (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) | |
| cost-diff | 0 | (/.f64 d (fma.f64 c c (*.f64 d d))) | |
| cost-diff | 0 | (neg.f64 a) | |
| cost-diff | 0 | (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) | |
| cost-diff | 0 | (/.f64 b c) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) | |
| cost-diff | 0 | (*.f64 a d) | |
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | (fma.f64 (neg.f64 b) c (*.f64 a d)) | |
| cost-diff | 128 | (/.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
| 15 114× | lower-fma.f32 |
| 15 104× | lower-fma.f64 |
| 4 708× | lower-*.f32 |
| 4 694× | lower-*.f64 |
| 2 240× | lower-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 274 |
| 0 | 60 | 261 |
| 1 | 119 | 261 |
| 2 | 269 | 259 |
| 3 | 682 | 259 |
| 4 | 1841 | 259 |
| 5 | 5666 | 259 |
| 0 | 8227 | 259 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
(fma.f64 (neg.f64 b) c (*.f64 a d)) |
(neg.f64 b) |
b |
c |
(*.f64 a d) |
a |
d |
(neg.f64 (fma.f64 d d (*.f64 c c))) |
(fma.f64 d d (*.f64 c c)) |
(*.f64 c c) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
(/.f64 b c) |
b |
c |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))) |
(neg.f64 a) |
a |
(/.f64 d (fma.f64 c c (*.f64 d d))) |
d |
(fma.f64 c c (*.f64 d d)) |
c |
(*.f64 d d) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
(/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) |
(-.f64 b (/.f64 (*.f64 a d) c)) |
b |
(/.f64 (*.f64 a d) c) |
(*.f64 a d) |
a |
d |
c |
(*.f64 (fma.f64 a d (*.f64 b c)) (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 d d (*.f64 c c))))) |
(fma.f64 a d (*.f64 b c)) |
a |
d |
(*.f64 b c) |
b |
c |
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 (neg.f64 d) a (*.f64 b c)) |
(neg.f64 d) |
(*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 d d (*.f64 c c))) |
(fma.f64 d d (*.f64 c c)) |
(*.f64 c c) |
| Outputs |
|---|
(/.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 c b)) (fma.f64 d d (*.f64 c c))) |
(fma.f64 (neg.f64 b) c (*.f64 a d)) |
(fma.f64 c (neg.f64 b) (*.f64 d a)) |
(neg.f64 b) |
b |
c |
(*.f64 a d) |
(*.f64 d a) |
a |
d |
(neg.f64 (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) |
b |
c |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) (neg.f64 d))) |
(*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))) |
(*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) (neg.f64 d)) |
(neg.f64 a) |
a |
(/.f64 d (fma.f64 c c (*.f64 d d))) |
(/.f64 d (fma.f64 d d (*.f64 c c))) |
d |
(fma.f64 c c (*.f64 d d)) |
(fma.f64 d d (*.f64 c c)) |
c |
(*.f64 d d) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) |
(/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) |
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) |
(-.f64 b (/.f64 (*.f64 a d) c)) |
(-.f64 b (/.f64 (*.f64 d a) c)) |
b |
(/.f64 (*.f64 a d) c) |
(/.f64 (*.f64 d a) c) |
(*.f64 a d) |
(*.f64 d a) |
a |
d |
c |
(*.f64 (fma.f64 a d (*.f64 b c)) (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 d d (*.f64 c c))))) |
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 c b)) (fma.f64 d d (*.f64 c c))) |
(fma.f64 a d (*.f64 b c)) |
(fma.f64 d a (*.f64 c b)) |
a |
d |
(*.f64 b c) |
(*.f64 c b) |
b |
c |
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 d d (*.f64 c c)))) |
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 c b)) (*.f64 (fma.f64 d a (*.f64 c b)) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 (neg.f64 d) a (*.f64 b c)) |
(fma.f64 (neg.f64 d) a (*.f64 c b)) |
(neg.f64 d) |
(*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 d d (*.f64 c c))) |
(*.f64 (fma.f64 d a (*.f64 c b)) (fma.f64 d d (*.f64 c c))) |
(fma.f64 d d (*.f64 c c)) |
(*.f64 c c) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.2578097476055602 | (fma.f64 (neg.f64 d) a (*.f64 b c)) | |
| accuracy | 0.8868395741894518 | (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 d d (*.f64 c c))) | |
| accuracy | 23.499338812057555 | (*.f64 (fma.f64 a d (*.f64 b c)) (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 d d (*.f64 c c))))) | |
| accuracy | 24.460668322709598 | (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 d d (*.f64 c c)))) | |
| accuracy | 0.01171875 | (-.f64 b (/.f64 (*.f64 a d) c)) | |
| accuracy | 0.31160487170753504 | (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) | |
| accuracy | 5.266285815351505 | (/.f64 (*.f64 a d) c) | |
| accuracy | 27.625735154406307 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) | |
| accuracy | 0.0078125 | (fma.f64 c c (*.f64 d d)) | |
| accuracy | 2.8892059324953623 | (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))) | |
| accuracy | 19.104459085123555 | (/.f64 d (fma.f64 c c (*.f64 d d))) | |
| accuracy | 26.852619629639577 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) | |
| accuracy | 0 | (/.f64 b c) | |
| accuracy | 36.83349762935565 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) | |
| accuracy | 0 | (neg.f64 (fma.f64 d d (*.f64 c c))) | |
| accuracy | 0 | (neg.f64 b) | |
| accuracy | 0.2578097476055602 | (fma.f64 (neg.f64 b) c (*.f64 a d)) | |
| accuracy | 23.95416351192377 | (/.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
| 77.0ms | 256× | 0 | valid |
Compiled 273 to 33 computations (87.9% saved)
ival-mult: 17.0ms (43.3% of total)ival-div: 10.0ms (25.5% of total)ival-add: 5.0ms (12.7% of total)ival-neg: 4.0ms (10.2% of total)ival-sub: 2.0ms (5.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (neg.f64 (fma.f64 d d (*.f64 c c)))) (patch (/.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (neg.f64 (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 b) c (*.f64 a d)) (patch (fma.f64 (neg.f64 b) c (*.f64 a d)) #<representation binary64>) () ()) |
#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ()) |
#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) #<representation binary64>) () ()) |
#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))) (patch (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))) #<representation binary64>) () ()) |
#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ()) |
#s(alt (/.f64 d (fma.f64 c c (*.f64 d d))) (patch (/.f64 d (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) (patch (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) #<representation binary64>) () ()) |
#s(alt (-.f64 b (/.f64 (*.f64 a d) c)) (patch (-.f64 b (/.f64 (*.f64 a d) c)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 a d) c) (patch (/.f64 (*.f64 a d) c) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 a d (*.f64 b c)) (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 d d (*.f64 c c))))) (patch (*.f64 (fma.f64 a d (*.f64 b c)) (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 d d (*.f64 c c))))) #<representation binary64>) () ()) |
#s(alt (fma.f64 a d (*.f64 b c)) (patch (fma.f64 a d (*.f64 b c)) #<representation binary64>) () ()) |
#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 d d (*.f64 c c)))) (patch (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (fma.f64 d d (*.f64 c c))) (patch (neg.f64 (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ()) |
#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 d d (*.f64 c c))) (patch (*.f64 (fma.f64 a d (*.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>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (neg.f64 (fma.f64 d d (*.f64 c c)))) (patch (/.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (neg.f64 (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (neg.f64 (fma.f64 d d (*.f64 c c)))) (patch (/.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (neg.f64 (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (neg.f64 (fma.f64 d d (*.f64 c c)))) (patch (/.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (neg.f64 (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (* c (+ (* -1 (/ (* b c) (pow d 4))) (/ a (pow d 3)))) (/ b (pow d 2))))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (neg.f64 (fma.f64 d d (*.f64 c c)))) (patch (/.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (neg.f64 (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor 0 c) (#s(alt (fma.f64 (neg.f64 b) c (*.f64 a d)) (patch (fma.f64 (neg.f64 b) c (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* b c)) (* a d)) (taylor 0 c) (#s(alt (fma.f64 (neg.f64 b) c (*.f64 a d)) (patch (fma.f64 (neg.f64 b) c (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* b c)) (* a d)) (taylor 0 c) (#s(alt (fma.f64 (neg.f64 b) c (*.f64 a d)) (patch (fma.f64 (neg.f64 b) c (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* b c)) (* a d)) (taylor 0 c) (#s(alt (fma.f64 (neg.f64 b) c (*.f64 a d)) (patch (fma.f64 (neg.f64 b) c (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor 0 c) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor 0 c) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor 0 c) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor 0 c) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))) (patch (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* a (pow c 2)) (pow d 3))) (taylor 0 c) (#s(alt (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))) (patch (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* (pow c 2) (+ (* -1 (/ (* a (pow c 2)) (pow d 5))) (/ a (pow d 3))))) (taylor 0 c) (#s(alt (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))) (patch (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* (pow c 2) (+ (* (pow c 2) (+ (* -1 (/ a (pow d 5))) (/ (* a (pow c 2)) (pow d 7)))) (/ a (pow d 3))))) (taylor 0 c) (#s(alt (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))) (patch (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 d) (taylor 0 c) (#s(alt (/.f64 d (fma.f64 c c (*.f64 d d))) (patch (/.f64 d (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d)) (taylor 0 c) (#s(alt (/.f64 d (fma.f64 c c (*.f64 d d))) (patch (/.f64 d (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow c 2) (- (/ (pow c 2) (pow d 5)) (/ 1 (pow d 3)))) (/ 1 d)) (taylor 0 c) (#s(alt (/.f64 d (fma.f64 c c (*.f64 d d))) (patch (/.f64 d (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 7))) (/ 1 (pow d 5)))) (/ 1 (pow d 3)))) (/ 1 d)) (taylor 0 c) (#s(alt (/.f64 d (fma.f64 c c (*.f64 d d))) (patch (/.f64 d (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) (pow c 2))) (taylor 0 c) (#s(alt (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) (patch (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) (taylor 0 c) (#s(alt (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) (patch (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) (taylor 0 c) (#s(alt (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) (patch (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) (taylor 0 c) (#s(alt (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) (patch (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) c)) (taylor 0 c) (#s(alt (-.f64 b (/.f64 (*.f64 a d) c)) (patch (-.f64 b (/.f64 (*.f64 a d) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* b c) (* a d)) c) (taylor 0 c) (#s(alt (-.f64 b (/.f64 (*.f64 a d) c)) (patch (-.f64 b (/.f64 (*.f64 a d) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* b c) (* a d)) c) (taylor 0 c) (#s(alt (-.f64 b (/.f64 (*.f64 a d) c)) (patch (-.f64 b (/.f64 (*.f64 a d) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* b c) (* a d)) c) (taylor 0 c) (#s(alt (-.f64 b (/.f64 (*.f64 a d) c)) (patch (-.f64 b (/.f64 (*.f64 a d) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor 0 c) (#s(alt (/.f64 (*.f64 a d) c) (patch (/.f64 (*.f64 a d) c) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor 0 c) (#s(alt (/.f64 (*.f64 a d) c) (patch (/.f64 (*.f64 a d) c) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor 0 c) (#s(alt (/.f64 (*.f64 a d) c) (patch (/.f64 (*.f64 a d) c) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor 0 c) (#s(alt (/.f64 (*.f64 a d) c) (patch (/.f64 (*.f64 a d) c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt (*.f64 (fma.f64 a d (*.f64 b c)) (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 d d (*.f64 c c))))) (patch (*.f64 (fma.f64 a d (*.f64 b c)) (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (*.f64 (fma.f64 a d (*.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 a d (*.f64 b c)) (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 d d (*.f64 c c))))) (patch (*.f64 (fma.f64 a d (*.f64 b c)) (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (*.f64 (fma.f64 a d (*.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 a d (*.f64 b c)) (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 d d (*.f64 c c))))) (patch (*.f64 (fma.f64 a d (*.f64 b c)) (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (*.f64 (fma.f64 a d (*.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 a d (*.f64 b c)) (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 d d (*.f64 c c))))) (patch (*.f64 (fma.f64 a d (*.f64 b c)) (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 d d (*.f64 c c))))) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor 0 c) (#s(alt (fma.f64 a d (*.f64 b c)) (patch (fma.f64 a d (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a d) (* b c)) (taylor 0 c) (#s(alt (fma.f64 a d (*.f64 b c)) (patch (fma.f64 a d (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a d) (* b c)) (taylor 0 c) (#s(alt (fma.f64 a d (*.f64 b c)) (patch (fma.f64 a d (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a d) (* b c)) (taylor 0 c) (#s(alt (fma.f64 a d (*.f64 b c)) (patch (fma.f64 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 (pow d 2)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 d d (*.f64 c c)))) (patch (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (- (* c (- (/ b (* a (pow d 3))) (* -1 (/ b (* a (pow d 3)))))) (/ 1 (pow d 2))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 d d (*.f64 c c)))) (patch (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (- (* c (- (+ (* c (- (/ 1 (pow d 4)) (/ (* b (- (/ b (* a (pow d 3))) (* -1 (/ b (* a (pow d 3)))))) (* a d)))) (/ b (* a (pow d 3)))) (* -1 (/ b (* a (pow d 3)))))) (/ 1 (pow d 2))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 d d (*.f64 c c)))) (patch (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 b) (taylor inf b) (#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 b) (taylor inf b) (#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ())) ()) |
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#s(alt (/ b c) (taylor inf b) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor inf b) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor inf b) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor inf b) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ()) |
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#s(alt (* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) (taylor inf b) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) (taylor inf b) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) (taylor inf b) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) #<representation binary64>) () ())) ()) |
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#s(alt (* b (+ c (/ (* a d) b))) (taylor inf b) (#s(alt (fma.f64 a d (*.f64 b c)) (patch (fma.f64 a d (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (* b c) (taylor inf b) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (* b c) (taylor inf b) (#s(alt (*.f64 b c) (patch (*.f64 b 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 (/.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (neg.f64 (fma.f64 d d (*.f64 c c)))) (patch (/.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (neg.f64 (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d)))) d) (taylor inf d) (#s(alt (/.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (neg.f64 (fma.f64 d d (*.f64 c c)))) (patch (/.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (neg.f64 (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor inf d) (#s(alt (fma.f64 (neg.f64 b) c (*.f64 a d)) (patch (fma.f64 (neg.f64 b) c (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* d (+ a (* -1 (/ (* b c) d)))) (taylor inf d) (#s(alt (fma.f64 (neg.f64 b) c (*.f64 a d)) (patch (fma.f64 (neg.f64 b) c (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* d (+ a (* -1 (/ (* b c) d)))) (taylor inf d) (#s(alt (fma.f64 (neg.f64 b) c (*.f64 a d)) (patch (fma.f64 (neg.f64 b) c (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* d (+ a (* -1 (/ (* b c) d)))) (taylor inf d) (#s(alt (fma.f64 (neg.f64 b) c (*.f64 a d)) (patch (fma.f64 (neg.f64 b) c (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor inf d) (#s(alt #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) (/ (* b c) d)) d) (taylor inf d) (#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) (+ (/ (* 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))) (/.f64 b c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d 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))) (/.f64 b c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d 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 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 a) (/ (* b c) d)) d) (taylor inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 a) (+ (/ (* 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))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* -1 a) (+ (* -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))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor inf d) (#s(alt (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))) (patch (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 a) (/ (* a (pow c 2)) (pow d 2))) d) (taylor inf d) (#s(alt (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))) (patch (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2)))) d) (taylor inf d) (#s(alt (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))) (patch (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* a (pow c 6)) (pow d 6))))) d) (taylor inf d) (#s(alt (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))) (patch (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 d) (taylor 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 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 4) (pow d 4))) (/ (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 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (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 (/ a d)) (taylor inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 a) (/ (* b c) d)) d) (taylor inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 a) (+ (/ (* 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))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* -1 a) (+ (* -1 (/ (* b (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))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) (pow c 2))) (taylor inf d) (#s(alt (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) (patch (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) #<representation binary64>) () ())) ()) |
#s(alt (* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) (taylor inf d) (#s(alt (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) (patch (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) #<representation binary64>) () ())) ()) |
#s(alt (* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) (taylor inf d) (#s(alt (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) (patch (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) #<representation binary64>) () ())) ()) |
#s(alt (* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) (taylor inf d) (#s(alt (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) (patch (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) c)) (taylor inf d) (#s(alt (-.f64 b (/.f64 (*.f64 a d) c)) (patch (-.f64 b (/.f64 (*.f64 a d) c)) #<representation binary64>) () ())) ()) |
#s(alt (* d (- (/ b d) (/ a c))) (taylor inf d) (#s(alt (-.f64 b (/.f64 (*.f64 a d) c)) (patch (-.f64 b (/.f64 (*.f64 a d) c)) #<representation binary64>) () ())) ()) |
#s(alt (* d (- (/ b d) (/ a c))) (taylor inf d) (#s(alt (-.f64 b (/.f64 (*.f64 a d) c)) (patch (-.f64 b (/.f64 (*.f64 a d) c)) #<representation binary64>) () ())) ()) |
#s(alt (* d (- (/ b d) (/ a c))) (taylor inf d) (#s(alt (-.f64 b (/.f64 (*.f64 a d) c)) (patch (-.f64 b (/.f64 (*.f64 a d) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor inf d) (#s(alt (/.f64 (*.f64 a d) c) (patch (/.f64 (*.f64 a d) c) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor inf d) (#s(alt (/.f64 (*.f64 a d) c) (patch (/.f64 (*.f64 a d) c) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor inf d) (#s(alt (/.f64 (*.f64 a d) c) (patch (/.f64 (*.f64 a d) c) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor inf d) (#s(alt (/.f64 (*.f64 a d) c) (patch (/.f64 (*.f64 a d) c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor inf d) (#s(alt (*.f64 (fma.f64 a d (*.f64 b c)) (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 d d (*.f64 c c))))) (patch (*.f64 (fma.f64 a d (*.f64 b c)) (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 d d (*.f64 c c))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 a) (/ (* b c) d)) d) (taylor inf d) (#s(alt (*.f64 (fma.f64 a d (*.f64 b c)) (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 d d (*.f64 c c))))) (patch (*.f64 (fma.f64 a d (*.f64 b c)) (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 d d (*.f64 c c))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) (taylor inf d) (#s(alt (*.f64 (fma.f64 a d (*.f64 b c)) (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 d d (*.f64 c c))))) (patch (*.f64 (fma.f64 a d (*.f64 b c)) (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 d d (*.f64 c 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 (*.f64 (fma.f64 a d (*.f64 b c)) (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 d d (*.f64 c c))))) (patch (*.f64 (fma.f64 a d (*.f64 b c)) (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 d d (*.f64 c c))))) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor inf d) (#s(alt (fma.f64 a d (*.f64 b c)) (patch (fma.f64 a d (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (* d (+ a (/ (* b c) d))) (taylor inf d) (#s(alt (fma.f64 a d (*.f64 b c)) (patch (fma.f64 a d (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (* d (+ a (/ (* b c) d))) (taylor inf d) (#s(alt (fma.f64 a d (*.f64 b c)) (patch (fma.f64 a d (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (* d (+ a (/ (* b c) d))) (taylor inf d) (#s(alt (fma.f64 a d (*.f64 b c)) (patch (fma.f64 a d (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow d 2)) (taylor inf d) (#s(alt (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 d d (*.f64 c c)))) (patch (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (/ (* b c) (* a d)) (+ 1 (* -1 (/ (* b c) (* a d))))) (pow d 2)) (taylor inf d) (#s(alt (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 d d (*.f64 c c)))) (patch (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* -1 (/ (+ (* -1 (pow c 2)) (/ (* b (* c (- (/ (* b c) a) (* -1 (/ (* b c) a))))) a)) (pow d 2))) (/ (* b c) (* a d))) (+ 1 (* -1 (/ (* b c) (* a d))))) (pow d 2)) (taylor inf d) (#s(alt (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 d d (*.f64 c c)))) (patch (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* -1 (/ (+ (* -1 (/ (* b (* c (+ (* -1 (pow c 2)) (/ (* b (* c (- (/ (* b c) a) (* -1 (/ (* b c) a))))) a)))) a)) (+ (* -1 (/ (* b (pow c 3)) a)) (* (pow c 2) (- (/ (* b c) a) (* -1 (/ (* b c) a)))))) (pow d 3))) (/ (* b c) (* a d))) (+ 1 (+ (* -1 (/ (* b c) (* a d))) (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (* b (* c (- (/ (* b c) a) (* -1 (/ (* b c) a))))) (* a (pow d 2))))))) (pow d 2)) (taylor inf d) (#s(alt (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 d d (*.f64 c c)))) (patch (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow d 2)) (taylor inf d) (#s(alt (neg.f64 (fma.f64 d d (*.f64 c c))) (patch (neg.f64 (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (- (* -1 (/ (pow c 2) (pow d 2))) 1)) (taylor inf d) (#s(alt (neg.f64 (fma.f64 d d (*.f64 c c))) (patch (neg.f64 (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (- (* -1 (/ (pow c 2) (pow d 2))) 1)) (taylor inf d) (#s(alt (neg.f64 (fma.f64 d d (*.f64 c c))) (patch (neg.f64 (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (- (* -1 (/ (pow c 2) (pow d 2))) 1)) (taylor inf d) (#s(alt (neg.f64 (fma.f64 d d (*.f64 c c))) (patch (neg.f64 (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (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 (* a (pow d 3)) (taylor inf d) (#s(alt (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 d d (*.f64 c c))) (patch (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 3) (+ a (/ (* b c) d))) (taylor inf d) (#s(alt (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 d d (*.f64 c c))) (patch (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 3) (+ a (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d)))) (taylor inf d) (#s(alt (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 d d (*.f64 c c))) (patch (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 3) (+ a (+ (/ (* a (pow c 2)) (pow d 2)) (+ (/ (* b c) d) (/ (* b (pow c 3)) (pow d 3)))))) (taylor inf d) (#s(alt (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 d d (*.f64 c c))) (patch (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* (pow d 3) (+ (* -1 a) (* -1 (/ (* b c) d))))) (taylor -inf d) (#s(alt (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 d d (*.f64 c c))) (patch (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow d 3) (+ (* -1 a) (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))))) (taylor -inf d) (#s(alt (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 d d (*.f64 c c))) (patch (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (pow d 3) (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* a (pow c 2))) (* -1 (/ (* b (pow c 3)) d))) d)) (* b c)) d))))) (taylor -inf d) (#s(alt (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 d d (*.f64 c c))) (patch (*.f64 (fma.f64 a d (*.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>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 33.0ms | d | @ | -inf | ((/ (+ (* (neg b) c) (* a d)) (neg (+ (* d d) (* c c)))) (+ (* (neg b) c) (* a d)) (neg b) (* a d) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ b c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (neg a) (/ d (+ (* c c) (* d d)))) (neg a) (/ d (+ (* c c) (* d d))) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- b (/ (* a d) c)) c) (- b (/ (* a d) c)) (/ (* a d) c) (* (+ (* a d) (* b c)) (/ (+ (* (neg d) a) (* b c)) (* (+ (* a d) (* b c)) (+ (* d d) (* c c))))) (+ (* a d) (* b c)) (* b c) (/ (+ (* (neg d) a) (* b c)) (* (+ (* a d) (* b c)) (+ (* d d) (* c c)))) (neg (+ (* d d) (* c c))) (+ (* c c) (* d d)) (* (+ (* a d) (* b c)) (+ (* d d) (* c c))) (+ (* (neg d) a) (* b c))) |
| 9.0ms | d | @ | inf | ((/ (+ (* (neg b) c) (* a d)) (neg (+ (* d d) (* c c)))) (+ (* (neg b) c) (* a d)) (neg b) (* a d) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ b c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (neg a) (/ d (+ (* c c) (* d d)))) (neg a) (/ d (+ (* c c) (* d d))) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- b (/ (* a d) c)) c) (- b (/ (* a d) c)) (/ (* a d) c) (* (+ (* a d) (* b c)) (/ (+ (* (neg d) a) (* b c)) (* (+ (* a d) (* b c)) (+ (* d d) (* c c))))) (+ (* a d) (* b c)) (* b c) (/ (+ (* (neg d) a) (* b c)) (* (+ (* a d) (* b c)) (+ (* d d) (* c c)))) (neg (+ (* d d) (* c c))) (+ (* c c) (* d d)) (* (+ (* a d) (* b c)) (+ (* d d) (* c c))) (+ (* (neg d) a) (* b c))) |
| 8.0ms | a | @ | 0 | ((/ (+ (* (neg b) c) (* a d)) (neg (+ (* d d) (* c c)))) (+ (* (neg b) c) (* a d)) (neg b) (* a d) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ b c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (neg a) (/ d (+ (* c c) (* d d)))) (neg a) (/ d (+ (* c c) (* d d))) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- b (/ (* a d) c)) c) (- b (/ (* a d) c)) (/ (* a d) c) (* (+ (* a d) (* b c)) (/ (+ (* (neg d) a) (* b c)) (* (+ (* a d) (* b c)) (+ (* d d) (* c c))))) (+ (* a d) (* b c)) (* b c) (/ (+ (* (neg d) a) (* b c)) (* (+ (* a d) (* b c)) (+ (* d d) (* c c)))) (neg (+ (* d d) (* c c))) (+ (* c c) (* d d)) (* (+ (* a d) (* b c)) (+ (* d d) (* c c))) (+ (* (neg d) a) (* b c))) |
| 6.0ms | c | @ | -inf | ((/ (+ (* (neg b) c) (* a d)) (neg (+ (* d d) (* c c)))) (+ (* (neg b) c) (* a d)) (neg b) (* a d) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ b c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (neg a) (/ d (+ (* c c) (* d d)))) (neg a) (/ d (+ (* c c) (* d d))) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- b (/ (* a d) c)) c) (- b (/ (* a d) c)) (/ (* a d) c) (* (+ (* a d) (* b c)) (/ (+ (* (neg d) a) (* b c)) (* (+ (* a d) (* b c)) (+ (* d d) (* c c))))) (+ (* a d) (* b c)) (* b c) (/ (+ (* (neg d) a) (* b c)) (* (+ (* a d) (* b c)) (+ (* d d) (* c c)))) (neg (+ (* d d) (* c c))) (+ (* c c) (* d d)) (* (+ (* a d) (* b c)) (+ (* d d) (* c c))) (+ (* (neg d) a) (* b c))) |
| 6.0ms | c | @ | 0 | ((/ (+ (* (neg b) c) (* a d)) (neg (+ (* d d) (* c c)))) (+ (* (neg b) c) (* a d)) (neg b) (* a d) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ b c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (neg a) (/ d (+ (* c c) (* d d)))) (neg a) (/ d (+ (* c c) (* d d))) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- b (/ (* a d) c)) c) (- b (/ (* a d) c)) (/ (* a d) c) (* (+ (* a d) (* b c)) (/ (+ (* (neg d) a) (* b c)) (* (+ (* a d) (* b c)) (+ (* d d) (* c c))))) (+ (* a d) (* b c)) (* b c) (/ (+ (* (neg d) a) (* b c)) (* (+ (* a d) (* b c)) (+ (* d d) (* c c)))) (neg (+ (* d d) (* c c))) (+ (* c c) (* d d)) (* (+ (* a d) (* b c)) (+ (* d d) (* c c))) (+ (* (neg d) a) (* b c))) |
| 1× | egg-herbie |
| 10 996× | lower-fma.f64 |
| 10 996× | lower-fma.f32 |
| 6 632× | lower-*.f64 |
| 6 632× | lower-*.f32 |
| 4 596× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 919 | 12175 |
| 1 | 3130 | 11073 |
| 0 | 8606 | 10517 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(+ (* -1 (/ a d)) (* c (+ (* c (+ (* -1 (/ (* b c) (pow d 4))) (/ a (pow d 3)))) (/ b (pow d 2))))) |
(* a d) |
(+ (* -1 (* b c)) (* a d)) |
(+ (* -1 (* b c)) (* a d)) |
(+ (* -1 (* b c)) (* a d)) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* a (pow c 2)) (pow d 3))) |
(+ (* -1 (/ a d)) (* (pow c 2) (+ (* -1 (/ (* a (pow c 2)) (pow d 5))) (/ a (pow d 3))))) |
(+ (* -1 (/ a d)) (* (pow c 2) (+ (* (pow c 2) (+ (* -1 (/ a (pow d 5))) (/ (* a (pow c 2)) (pow d 7)))) (/ a (pow d 3))))) |
(/ 1 d) |
(+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d)) |
(+ (* (pow c 2) (- (/ (pow c 2) (pow d 5)) (/ 1 (pow d 3)))) (/ 1 d)) |
(+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 7))) (/ 1 (pow d 5)))) (/ 1 (pow d 3)))) (/ 1 d)) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(* -1 (/ (* a d) (pow c 2))) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(* -1 (/ (* a d) c)) |
(/ (- (* b c) (* a d)) c) |
(/ (- (* b c) (* a d)) c) |
(/ (- (* b c) (* a d)) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(* a d) |
(+ (* a d) (* b c)) |
(+ (* a d) (* b c)) |
(+ (* a d) (* b c)) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(/ -1 (pow d 2)) |
(- (* c (- (/ b (* a (pow d 3))) (* -1 (/ b (* a (pow d 3)))))) (/ 1 (pow d 2))) |
(- (* c (- (+ (* c (- (/ 1 (pow d 4)) (/ (* b (- (/ b (* a (pow d 3))) (* -1 (/ b (* a (pow d 3)))))) (* a d)))) (/ b (* a (pow d 3)))) (* -1 (/ b (* a (pow d 3)))))) (/ 1 (pow d 2))) |
(- (* c (- (+ (* c (- (+ (* -1 (* c (+ (/ b (* a (pow d 5))) (/ (* b (- (/ 1 (pow d 4)) (/ (* b (- (/ b (* a (pow d 3))) (* -1 (/ b (* a (pow d 3)))))) (* a d)))) (* a d))))) (/ 1 (pow d 4))) (/ (* b (- (/ b (* a (pow d 3))) (* -1 (/ b (* a (pow d 3)))))) (* a d)))) (/ b (* a (pow d 3)))) (* -1 (/ b (* a (pow d 3)))))) (/ 1 (pow d 2))) |
(* -1 (pow d 2)) |
(- (* -1 (pow c 2)) (pow d 2)) |
(- (* -1 (pow c 2)) (pow d 2)) |
(- (* -1 (pow c 2)) (pow d 2)) |
(pow d 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(* a (pow d 3)) |
(+ (* a (pow d 3)) (* b (* c (pow d 2)))) |
(+ (* a (pow d 3)) (* c (+ (* a (* c d)) (* b (pow d 2))))) |
(+ (* a (pow d 3)) (* c (+ (* b (pow d 2)) (* c (+ (* a d) (* b c)))))) |
(* -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)) (+ (* -1 (/ (* b (pow d 2)) (pow c 2))) (/ (* a (pow d 3)) (pow c 3))))) c) |
(* -1 (* b c)) |
(* c (+ (* -1 b) (/ (* a d) c))) |
(* c (+ (* -1 b) (/ (* a d) c))) |
(* c (+ (* -1 b) (/ (* a d) c))) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(* -1 (/ (* a d) (pow c 2))) |
(/ (+ (* -1 (* a d)) (/ (* a (pow d 3)) (pow c 2))) (pow c 2)) |
(/ (+ (* -1 (* a d)) (+ (* -1 (/ (* a (pow d 5)) (pow c 4))) (/ (* a (pow d 3)) (pow c 2)))) (pow c 2)) |
(/ (+ (* -1 (* a d)) (+ (* -1 (/ (* a (pow d 5)) (pow c 4))) (+ (/ (* a (pow d 3)) (pow c 2)) (/ (* a (pow d 7)) (pow c 6))))) (pow c 2)) |
(/ d (pow c 2)) |
(/ (+ d (* -1 (/ (pow d 3) (pow c 2)))) (pow c 2)) |
(/ (- (+ d (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2))) (pow c 2)) |
(/ (- (+ d (* -1 (/ (pow d 7) (pow c 6)))) (+ (* -1 (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2)))) (pow c 2)) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
b |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(* b c) |
(* c (+ b (/ (* a d) c))) |
(* c (+ b (/ (* a d) c))) |
(* c (+ b (/ (* a d) c))) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(/ 1 (pow c 2)) |
(/ (- (+ 1 (* -1 (/ (* a d) (* b c)))) (/ (* a d) (* b c))) (pow c 2)) |
(/ (- (+ 1 (+ (* -1 (/ (* a d) (* b c))) (* -1 (/ (+ (/ (* a (* d (- (* -1 (/ (* a d) b)) (/ (* a d) b)))) b) (pow d 2)) (pow c 2))))) (/ (* a d) (* b c))) (pow c 2)) |
(/ (- (+ 1 (+ (* -1 (/ (* a d) (* b c))) (* -1 (/ (+ (* -1 (/ (* a (* d (+ (/ (* a (* d (- (* -1 (/ (* a d) b)) (/ (* a d) b)))) b) (pow d 2)))) b)) (+ (* (pow d 2) (- (* -1 (/ (* a d) b)) (/ (* a d) b))) (/ (* a (pow d 3)) b))) (pow c 3))))) (+ (/ (* a d) (* b c)) (+ (/ (* a (* d (- (* -1 (/ (* a d) b)) (/ (* a d) b)))) (* b (pow c 2))) (/ (pow d 2) (pow c 2))))) (pow c 2)) |
(* -1 (pow c 2)) |
(* (pow c 2) (- (* -1 (/ (pow d 2) (pow c 2))) 1)) |
(* (pow c 2) (- (* -1 (/ (pow d 2) (pow c 2))) 1)) |
(* (pow c 2) (- (* -1 (/ (pow d 2) (pow c 2))) 1)) |
(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 (pow c 3)) |
(* (pow c 3) (+ b (/ (* a d) c))) |
(* (pow c 3) (+ b (+ (/ (* a d) c) (/ (* b (pow d 2)) (pow c 2))))) |
(* (pow c 3) (+ b (+ (/ (* a d) c) (+ (/ (* a (pow d 3)) (pow c 3)) (/ (* b (pow d 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 (* b c)) |
(* -1 (* c (+ b (* -1 (/ (* a d) c))))) |
(* -1 (* c (+ b (* -1 (/ (* a d) c))))) |
(* -1 (* c (+ b (* -1 (/ (* a d) c))))) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) |
(* -1 (/ (* a d) (pow c 2))) |
(/ (+ (* -1 (* a d)) (/ (* a (pow d 3)) (pow c 2))) (pow c 2)) |
(/ (+ (* -1 (* a d)) (+ (* -1 (/ (* a (pow d 5)) (pow c 4))) (/ (* a (pow d 3)) (pow c 2)))) (pow c 2)) |
(/ (+ (* -1 (* a d)) (+ (* -1 (/ (* a (pow d 5)) (pow c 4))) (+ (/ (* a (pow d 3)) (pow c 2)) (/ (* a (pow d 7)) (pow c 6))))) (pow c 2)) |
(/ d (pow c 2)) |
(/ (+ d (* -1 (/ (pow d 3) (pow c 2)))) (pow c 2)) |
(/ (- (+ d (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2))) (pow c 2)) |
(/ (- (+ d (* -1 (/ (pow d 7) (pow c 6)))) (+ (* -1 (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2)))) (pow c 2)) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
b |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) |
(* b c) |
(* -1 (* c (+ (* -1 b) (* -1 (/ (* a d) c))))) |
(* -1 (* c (+ (* -1 b) (* -1 (/ (* a d) c))))) |
(* -1 (* c (+ (* -1 b) (* -1 (/ (* a d) c))))) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(/ 1 (pow c 2)) |
(/ (+ 1 (* -1 (/ (- (/ (* a d) b) (* -1 (/ (* a d) b))) c))) (pow c 2)) |
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (* a (* d (- (/ (* a d) b) (* -1 (/ (* a d) b))))) (* b c))) (+ (/ (* a d) b) (/ (pow d 2) c))) (* -1 (/ (* a d) b))) c))) (pow c 2)) |
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* a (pow d 3)) (* b c))) (+ (/ (* a (* d (+ (* -1 (/ (* a (* d (- (/ (* a d) b) (* -1 (/ (* a d) b))))) b)) (pow d 2)))) (* b c)) (/ (* (pow d 2) (- (/ (* a d) b) (* -1 (/ (* a d) b)))) c))) (+ (* -1 (/ (* a (* d (- (/ (* a d) b) (* -1 (/ (* a d) b))))) b)) (pow d 2))) c)) (/ (* a d) b)) (* -1 (/ (* a d) b))) c))) (pow c 2)) |
(* -1 (pow c 2)) |
(* (pow c 2) (- (* -1 (/ (pow d 2) (pow c 2))) 1)) |
(* (pow c 2) (- (* -1 (/ (pow d 2) (pow c 2))) 1)) |
(* (pow c 2) (- (* -1 (/ (pow d 2) (pow c 2))) 1)) |
(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 (pow c 3)) |
(* -1 (* (pow c 3) (+ (* -1 b) (* -1 (/ (* a d) c))))) |
(* -1 (* (pow c 3) (+ (* -1 b) (* -1 (/ (+ (* a d) (/ (* b (pow d 2)) c)) c))))) |
(* -1 (* (pow c 3) (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* b (pow d 2))) (* -1 (/ (* a (pow d 3)) c))) c)) (* a d)) c))))) |
(* 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)))) |
(* a d) |
(+ (* -1 (* b c)) (* a d)) |
(+ (* -1 (* b c)) (* a d)) |
(+ (* -1 (* b c)) (* a d)) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (pow c 2))) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(* -1 (/ (* a d) c)) |
(- b (/ (* a d) c)) |
(- b (/ (* a d) c)) |
(- b (/ (* a d) c)) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* a d) |
(+ (* a d) (* b c)) |
(+ (* a d) (* b c)) |
(+ (* a d) (* b c)) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(/ -1 (+ (pow c 2) (pow d 2))) |
(- (* b (- (/ c (* a (* d (+ (pow c 2) (pow d 2))))) (* -1 (/ c (* a (* d (+ (pow c 2) (pow d 2)))))))) (/ 1 (+ (pow c 2) (pow d 2)))) |
(- (* b (- (+ (* -1 (/ (* b (* c (- (/ c (* a (* d (+ (pow c 2) (pow d 2))))) (* -1 (/ c (* a (* d (+ (pow c 2) (pow d 2))))))))) (* a d))) (/ c (* a (* d (+ (pow c 2) (pow d 2)))))) (* -1 (/ c (* a (* d (+ (pow c 2) (pow d 2)))))))) (/ 1 (+ (pow c 2) (pow d 2)))) |
(- (* b (- (+ (* b (- (/ (* b (* (pow c 2) (- (/ c (* a (* d (+ (pow c 2) (pow d 2))))) (* -1 (/ c (* a (* d (+ (pow c 2) (pow d 2))))))))) (* (pow a 2) (pow d 2))) (/ (* c (- (/ c (* a (* d (+ (pow c 2) (pow d 2))))) (* -1 (/ c (* a (* d (+ (pow c 2) (pow d 2)))))))) (* a d)))) (/ c (* a (* d (+ (pow c 2) (pow d 2)))))) (* -1 (/ c (* a (* d (+ (pow c 2) (pow d 2)))))))) (/ 1 (+ (pow c 2) (pow d 2)))) |
(* a (* d (+ (pow c 2) (pow d 2)))) |
(+ (* a (* d (+ (pow c 2) (pow d 2)))) (* b (* c (+ (pow c 2) (pow d 2))))) |
(+ (* a (* d (+ (pow c 2) (pow d 2)))) (* b (* c (+ (pow c 2) (pow d 2))))) |
(+ (* 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) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* -1 (* b c)) |
(* b (+ (* -1 c) (/ (* a d) b))) |
(* b (+ (* -1 c) (/ (* a d) b))) |
(* b (+ (* -1 c) (/ (* a d) b))) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(/ b c) |
(* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c))) |
(* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c))) |
(* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c))) |
b |
(* b (+ 1 (* -1 (/ (* a d) (* b c))))) |
(* b (+ 1 (* -1 (/ (* a d) (* b c))))) |
(* b (+ 1 (* -1 (/ (* a d) (* b c))))) |
(/ (* b c) (+ (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 (/ (* a d) b))) |
(* b (+ c (/ (* a d) b))) |
(* b (+ c (/ (* a d) b))) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(/ 1 (+ (pow c 2) (pow d 2))) |
(- (+ (* -1 (/ (* a d) (* b (* c (+ (pow c 2) (pow d 2)))))) (/ 1 (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (* c (+ (pow c 2) (pow d 2)))))) |
(- (+ (* -1 (/ (* a d) (* b (* c (+ (pow c 2) (pow d 2)))))) (+ (* -1 (/ (* a (* d (- (* -1 (/ (* a d) (* c (+ (pow c 2) (pow d 2))))) (/ (* a d) (* c (+ (pow c 2) (pow d 2))))))) (* (pow b 2) c))) (/ 1 (+ (pow c 2) (pow d 2))))) (/ (* a d) (* b (* c (+ (pow c 2) (pow d 2)))))) |
(- (+ (* -1 (/ (* a d) (* b (* c (+ (pow c 2) (pow d 2)))))) (+ (/ 1 (+ (pow c 2) (pow d 2))) (/ (* (pow a 2) (* (pow d 2) (- (* -1 (/ (* a d) (* c (+ (pow c 2) (pow d 2))))) (/ (* a d) (* c (+ (pow c 2) (pow d 2))))))) (* (pow b 3) (pow c 2))))) (+ (/ (* a d) (* b (* c (+ (pow c 2) (pow d 2))))) (/ (* a (* d (- (* -1 (/ (* a d) (* c (+ (pow c 2) (pow d 2))))) (/ (* a d) (* c (+ (pow c 2) (pow d 2))))))) (* (pow b 2) c)))) |
(* b (* c (+ (pow c 2) (pow d 2)))) |
(* b (+ (* c (+ (pow c 2) (pow d 2))) (/ (* a (* d (+ (pow c 2) (pow d 2)))) b))) |
(* b (+ (* c (+ (pow c 2) (pow d 2))) (/ (* a (* d (+ (pow c 2) (pow d 2)))) b))) |
(* b (+ (* c (+ (pow c 2) (pow d 2))) (/ (* a (* d (+ (pow c 2) (pow d 2)))) 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))))))) |
(* -1 (* b c)) |
(* -1 (* b (+ c (* -1 (/ (* a d) b))))) |
(* -1 (* b (+ c (* -1 (/ (* a d) b))))) |
(* -1 (* b (+ c (* -1 (/ (* a d) b))))) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(/ b c) |
(* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c)))) |
(* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c)))) |
(* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c)))) |
b |
(* -1 (* b (- (/ (* a d) (* b c)) 1))) |
(* -1 (* b (- (/ (* a d) (* b c)) 1))) |
(* -1 (* b (- (/ (* a d) (* b c)) 1))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* b c) |
(* -1 (* b (+ (* -1 c) (* -1 (/ (* a d) b))))) |
(* -1 (* b (+ (* -1 c) (* -1 (/ (* a d) b))))) |
(* -1 (* b (+ (* -1 c) (* -1 (/ (* a d) b))))) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(/ 1 (+ (pow c 2) (pow d 2))) |
(+ (* -1 (/ (- (/ (* a d) (* c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a d) (* c (+ (pow c 2) (pow d 2)))))) b)) (/ 1 (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (- (+ (* -1 (/ (* a (* d (- (/ (* a d) (* c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a d) (* c (+ (pow c 2) (pow d 2)))))))) (* b c))) (/ (* a d) (* c (+ (pow c 2) (pow d 2))))) (* -1 (/ (* a d) (* c (+ (pow c 2) (pow d 2)))))) b)) (/ 1 (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow a 2) (* (pow d 2) (- (/ (* a d) (* c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a d) (* c (+ (pow c 2) (pow d 2)))))))) (* b (pow c 2)))) (* -1 (/ (* a (* d (- (/ (* a d) (* c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a d) (* c (+ (pow c 2) (pow d 2)))))))) c))) b)) (/ (* a d) (* c (+ (pow c 2) (pow d 2))))) (* -1 (/ (* a d) (* c (+ (pow c 2) (pow d 2)))))) b)) (/ 1 (+ (pow c 2) (pow d 2)))) |
(* b (* c (+ (pow c 2) (pow d 2)))) |
(* -1 (* b (+ (* -1 (* c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a (* d (+ (pow c 2) (pow d 2)))) b))))) |
(* -1 (* b (+ (* -1 (* c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a (* d (+ (pow c 2) (pow d 2)))) b))))) |
(* -1 (* b (+ (* -1 (* c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a (* d (+ (pow c 2) (pow d 2)))) 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)))) |
(* -1 (* b c)) |
(+ (* -1 (* b c)) (* a d)) |
(+ (* -1 (* b c)) (* a d)) |
(+ (* -1 (* b c)) (* a d)) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
b |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* b c) (+ (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) |
(+ (* a d) (* b c)) |
(+ (* a d) (* b c)) |
(+ (* a d) (* b c)) |
(/ 1 (+ (pow c 2) (pow d 2))) |
(+ (* a (- (* -1 (/ d (* b (* c (+ (pow c 2) (pow d 2)))))) (/ d (* b (* c (+ (pow c 2) (pow d 2))))))) (/ 1 (+ (pow c 2) (pow d 2)))) |
(+ (* a (- (+ (* -1 (/ d (* b (* c (+ (pow c 2) (pow d 2)))))) (* -1 (/ (* a (* d (- (* -1 (/ d (* b (* c (+ (pow c 2) (pow d 2)))))) (/ d (* b (* c (+ (pow c 2) (pow d 2)))))))) (* b c)))) (/ d (* b (* c (+ (pow c 2) (pow d 2))))))) (/ 1 (+ (pow c 2) (pow d 2)))) |
(+ (* a (- (+ (* -1 (/ d (* b (* c (+ (pow c 2) (pow d 2)))))) (* a (- (/ (* a (* (pow d 2) (- (* -1 (/ d (* b (* c (+ (pow c 2) (pow d 2)))))) (/ d (* b (* c (+ (pow c 2) (pow d 2)))))))) (* (pow b 2) (pow c 2))) (/ (* d (- (* -1 (/ d (* b (* c (+ (pow c 2) (pow d 2)))))) (/ d (* b (* c (+ (pow c 2) (pow d 2))))))) (* b c))))) (/ d (* b (* c (+ (pow c 2) (pow d 2))))))) (/ 1 (+ (pow c 2) (pow d 2)))) |
(* b (* c (+ (pow c 2) (pow d 2)))) |
(+ (* a (* d (+ (pow c 2) (pow d 2)))) (* b (* c (+ (pow c 2) (pow d 2))))) |
(+ (* a (* d (+ (pow c 2) (pow d 2)))) (* b (* c (+ (pow c 2) (pow d 2))))) |
(+ (* 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)) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a d) |
(* a (+ d (* -1 (/ (* b c) a)))) |
(* a (+ d (* -1 (/ (* b c) a)))) |
(* a (+ d (* -1 (/ (* b c) a)))) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ (* a d) (pow c 2))) |
(* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c)))) |
(* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c)))) |
(* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c)))) |
(* -1 (/ (* a d) c)) |
(* a (- (/ b a) (/ d c))) |
(* a (- (/ b a) (/ d c))) |
(* a (- (/ b a) (/ d c))) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a d) |
(* a (+ d (/ (* b c) a))) |
(* a (+ d (/ (* b c) a))) |
(* a (+ d (/ (* b c) a))) |
(/ -1 (+ (pow c 2) (pow d 2))) |
(- (/ (* b c) (* a (* d (+ (pow c 2) (pow d 2))))) (+ (* -1 (/ (* b c) (* a (* d (+ (pow c 2) (pow d 2)))))) (/ 1 (+ (pow c 2) (pow d 2))))) |
(- (+ (* -1 (/ (* b (* c (- (/ (* b c) (* d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b c) (* d (+ (pow c 2) (pow d 2)))))))) (* (pow a 2) d))) (/ (* b c) (* a (* d (+ (pow c 2) (pow d 2)))))) (+ (* -1 (/ (* b c) (* a (* d (+ (pow c 2) (pow d 2)))))) (/ 1 (+ (pow c 2) (pow d 2))))) |
(- (+ (/ (* b c) (* a (* d (+ (pow c 2) (pow d 2))))) (/ (* (pow b 2) (* (pow c 2) (- (/ (* b c) (* d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b c) (* d (+ (pow c 2) (pow d 2)))))))) (* (pow a 3) (pow d 2)))) (+ (* -1 (/ (* b c) (* a (* d (+ (pow c 2) (pow d 2)))))) (+ (/ 1 (+ (pow c 2) (pow d 2))) (/ (* b (* c (- (/ (* b c) (* d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b c) (* d (+ (pow c 2) (pow d 2)))))))) (* (pow a 2) d))))) |
(* a (* d (+ (pow c 2) (pow d 2)))) |
(* a (+ (* d (+ (pow c 2) (pow d 2))) (/ (* b (* c (+ (pow c 2) (pow d 2)))) a))) |
(* a (+ (* d (+ (pow c 2) (pow d 2))) (/ (* b (* c (+ (pow c 2) (pow d 2)))) a))) |
(* a (+ (* d (+ (pow c 2) (pow d 2))) (/ (* b (* c (+ (pow c 2) (pow d 2)))) a))) |
(* -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)))))) |
(* a d) |
(* -1 (* a (+ (* -1 d) (/ (* b c) a)))) |
(* -1 (* a (+ (* -1 d) (/ (* b c) a)))) |
(* -1 (* a (+ (* -1 d) (/ (* b c) a)))) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2))))) |
(* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2))))) |
(* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2))))) |
(* -1 (/ (* a d) c)) |
(* -1 (* a (- (* -1 (/ b a)) (* -1 (/ d c))))) |
(* -1 (* a (- (* -1 (/ b a)) (* -1 (/ d c))))) |
(* -1 (* a (- (* -1 (/ b a)) (* -1 (/ d c))))) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* a d) |
(* -1 (* a (+ (* -1 d) (* -1 (/ (* b c) a))))) |
(* -1 (* a (+ (* -1 d) (* -1 (/ (* b c) a))))) |
(* -1 (* a (+ (* -1 d) (* -1 (/ (* b c) a))))) |
(/ -1 (+ (pow c 2) (pow d 2))) |
(- (* -1 (/ (- (* -1 (/ (* b c) (* d (+ (pow c 2) (pow d 2))))) (/ (* b c) (* d (+ (pow c 2) (pow d 2))))) a)) (/ 1 (+ (pow c 2) (pow d 2)))) |
(- (* -1 (/ (- (+ (* -1 (/ (* b c) (* d (+ (pow c 2) (pow d 2))))) (* -1 (/ (* b (* c (- (* -1 (/ (* b c) (* d (+ (pow c 2) (pow d 2))))) (/ (* b c) (* d (+ (pow c 2) (pow d 2))))))) (* a d)))) (/ (* b c) (* d (+ (pow c 2) (pow d 2))))) a)) (/ 1 (+ (pow c 2) (pow d 2)))) |
(- (* -1 (/ (- (+ (* -1 (/ (* b c) (* d (+ (pow c 2) (pow d 2))))) (* -1 (/ (- (* -1 (/ (* (pow b 2) (* (pow c 2) (- (* -1 (/ (* b c) (* d (+ (pow c 2) (pow d 2))))) (/ (* b c) (* d (+ (pow c 2) (pow d 2))))))) (* a (pow d 2)))) (* -1 (/ (* b (* c (- (* -1 (/ (* b c) (* d (+ (pow c 2) (pow d 2))))) (/ (* b c) (* d (+ (pow c 2) (pow d 2))))))) d))) a))) (/ (* b c) (* d (+ (pow c 2) (pow d 2))))) a)) (/ 1 (+ (pow c 2) (pow d 2)))) |
(* a (* d (+ (pow c 2) (pow d 2)))) |
(* -1 (* a (+ (* -1 (* d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b (* c (+ (pow c 2) (pow d 2)))) a))))) |
(* -1 (* a (+ (* -1 (* d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b (* c (+ (pow c 2) (pow d 2)))) a))))) |
(* -1 (* a (+ (* -1 (* d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b (* c (+ (pow c 2) (pow d 2)))) a))))) |
(* -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 (+ (* -1 (/ b (pow c 3))) (/ (* a d) (pow c 4)))))) (/ b c)) |
(* -1 (* b c)) |
(+ (* -1 (* b c)) (* a d)) |
(+ (* -1 (* b c)) (* a d)) |
(+ (* -1 (* b c)) (* a d)) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(* -1 (/ (* a d) (pow c 2))) |
(* d (+ (* -1 (/ a (pow c 2))) (/ (* a (pow d 2)) (pow c 4)))) |
(* d (+ (* -1 (/ a (pow c 2))) (* (pow d 2) (+ (* -1 (/ (* a (pow d 2)) (pow c 6))) (/ a (pow c 4)))))) |
(* d (+ (* -1 (/ a (pow c 2))) (* (pow d 2) (+ (* (pow d 2) (+ (* -1 (/ a (pow c 6))) (/ (* a (pow d 2)) (pow c 8)))) (/ a (pow c 4)))))) |
(/ d (pow c 2)) |
(* d (+ (* -1 (/ (pow d 2) (pow c 4))) (/ 1 (pow c 2)))) |
(* d (+ (* (pow d 2) (- (/ (pow d 2) (pow c 6)) (/ 1 (pow c 4)))) (/ 1 (pow c 2)))) |
(* d (+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 8))) (/ 1 (pow c 6)))) (/ 1 (pow c 4)))) (/ 1 (pow c 2)))) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
b |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(* b c) |
(+ (* a d) (* b c)) |
(+ (* a d) (* b c)) |
(+ (* a d) (* b c)) |
(/ 1 (pow c 2)) |
(+ (* d (- (* -1 (/ a (* b (pow c 3)))) (/ a (* b (pow c 3))))) (/ 1 (pow c 2))) |
(+ (* d (- (+ (* -1 (* d (+ (/ 1 (pow c 4)) (/ (* a (- (* -1 (/ a (* b (pow c 3)))) (/ a (* b (pow c 3))))) (* b c))))) (* -1 (/ a (* b (pow c 3))))) (/ a (* b (pow c 3))))) (/ 1 (pow c 2))) |
(+ (* d (- (+ (* -1 (/ a (* b (pow c 3)))) (* d (- (* -1 (* d (+ (* -1 (/ a (* b (pow c 5)))) (* -1 (/ (* a (+ (/ 1 (pow c 4)) (/ (* a (- (* -1 (/ a (* b (pow c 3)))) (/ a (* b (pow c 3))))) (* b c)))) (* b c)))))) (+ (/ 1 (pow c 4)) (/ (* a (- (* -1 (/ a (* b (pow c 3)))) (/ a (* b (pow c 3))))) (* b c)))))) (/ a (* b (pow c 3))))) (/ 1 (pow c 2))) |
(* -1 (pow c 2)) |
(- (* -1 (pow d 2)) (pow c 2)) |
(- (* -1 (pow d 2)) (pow c 2)) |
(- (* -1 (pow d 2)) (pow c 2)) |
(pow c 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(* b (pow c 3)) |
(+ (* a (* (pow c 2) d)) (* b (pow c 3))) |
(+ (* b (pow c 3)) (* d (+ (* a (pow c 2)) (* b (* c d))))) |
(+ (* b (pow c 3)) (* d (+ (* a (pow c 2)) (* d (+ (* a d) (* b c)))))) |
(* b c) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* 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) |
(* a d) |
(* d (+ a (* -1 (/ (* b c) d)))) |
(* d (+ a (* -1 (/ (* b c) d)))) |
(* d (+ a (* -1 (/ (* b c) d)))) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* a (pow c 2)) (pow d 2))) d) |
(/ (+ (* -1 a) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2)))) d) |
(/ (+ (* -1 a) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* a (pow c 6)) (pow d 6))))) d) |
(/ 1 d) |
(/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) d) |
(/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) d) |
(/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) d) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(* -1 (/ (* a d) (pow c 2))) |
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(* -1 (/ (* a d) c)) |
(* d (- (/ b d) (/ a c))) |
(* d (- (/ b d) (/ a c))) |
(* d (- (/ b d) (/ a c))) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(* a d) |
(* d (+ a (/ (* b c) d))) |
(* d (+ a (/ (* b c) d))) |
(* d (+ a (/ (* b c) d))) |
(/ -1 (pow d 2)) |
(/ (- (/ (* b c) (* a d)) (+ 1 (* -1 (/ (* b c) (* a d))))) (pow d 2)) |
(/ (- (+ (* -1 (/ (+ (* -1 (pow c 2)) (/ (* b (* c (- (/ (* b c) a) (* -1 (/ (* b c) a))))) a)) (pow d 2))) (/ (* b c) (* a d))) (+ 1 (* -1 (/ (* b c) (* a d))))) (pow d 2)) |
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* b (* c (+ (* -1 (pow c 2)) (/ (* b (* c (- (/ (* b c) a) (* -1 (/ (* b c) a))))) a)))) a)) (+ (* -1 (/ (* b (pow c 3)) a)) (* (pow c 2) (- (/ (* b c) a) (* -1 (/ (* b c) a)))))) (pow d 3))) (/ (* b c) (* a d))) (+ 1 (+ (* -1 (/ (* b c) (* a d))) (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (* b (* c (- (/ (* b c) a) (* -1 (/ (* b c) a))))) (* a (pow d 2))))))) (pow d 2)) |
(* -1 (pow d 2)) |
(* (pow d 2) (- (* -1 (/ (pow c 2) (pow d 2))) 1)) |
(* (pow d 2) (- (* -1 (/ (pow c 2) (pow d 2))) 1)) |
(* (pow d 2) (- (* -1 (/ (pow c 2) (pow d 2))) 1)) |
(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)))) |
(* a (pow d 3)) |
(* (pow d 3) (+ a (/ (* b c) d))) |
(* (pow d 3) (+ a (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d)))) |
(* (pow d 3) (+ a (+ (/ (* a (pow c 2)) (pow d 2)) (+ (/ (* b c) d) (/ (* b (pow c 3)) (pow d 3)))))) |
(* -1 (* a d)) |
(* d (+ (* -1 a) (/ (* b c) d))) |
(* d (+ (* -1 a) (/ (* b c) d))) |
(* d (+ (* -1 a) (/ (* 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 (/ (+ (* -1 (* a (pow c 2))) (/ (* b (pow c 3)) d)) d)) (* b c)) d))) d)) |
(* a d) |
(* -1 (* d (+ (* -1 a) (/ (* b c) d)))) |
(* -1 (* d (+ (* -1 a) (/ (* b c) d)))) |
(* -1 (* d (+ (* -1 a) (/ (* b c) d)))) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* a (pow c 2)) (pow d 2)))) d)) |
(* -1 (/ (- (+ a (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2))) d)) |
(* -1 (/ (- (+ a (* -1 (/ (* a (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2)))) d)) |
(/ 1 d) |
(* -1 (/ (- (/ (pow c 2) (pow d 2)) 1) d)) |
(* -1 (/ (- (* -1 (/ (pow c 4) (pow d 4))) (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) d)) |
(* -1 (/ (- (/ (pow c 6) (pow d 6)) (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (pow c 4) (pow d 4))))) d)) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(* -1 (/ (* a d) c)) |
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) |
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) |
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(* a d) |
(* -1 (* d (+ (* -1 a) (* -1 (/ (* b c) d))))) |
(* -1 (* d (+ (* -1 a) (* -1 (/ (* b c) d))))) |
(* -1 (* d (+ (* -1 a) (* -1 (/ (* b c) d))))) |
(/ -1 (pow d 2)) |
(/ (- (* -1 (/ (- (* -1 (/ (* b c) a)) (/ (* b c) a)) d)) 1) (pow d 2)) |
(/ (- (* -1 (/ (- (+ (* -1 (/ (* b c) a)) (+ (* -1 (/ (* b (* c (- (* -1 (/ (* b c) a)) (/ (* b c) a)))) (* a d))) (* -1 (/ (pow c 2) d)))) (/ (* b c) a)) d)) 1) (pow d 2)) |
(/ (- (* -1 (/ (- (+ (* -1 (/ (* b c) a)) (* -1 (/ (- (+ (/ (* b (* c (+ (* -1 (/ (* b (* c (- (* -1 (/ (* b c) a)) (/ (* b c) a)))) a)) (* -1 (pow c 2))))) (* a d)) (+ (/ (* b (pow c 3)) (* a d)) (/ (* (pow c 2) (- (* -1 (/ (* b c) a)) (/ (* b c) a))) d))) (+ (* -1 (/ (* b (* c (- (* -1 (/ (* b c) a)) (/ (* b c) a)))) a)) (* -1 (pow c 2)))) d))) (/ (* b c) a)) d)) 1) (pow d 2)) |
(* -1 (pow d 2)) |
(* (pow d 2) (- (* -1 (/ (pow c 2) (pow d 2))) 1)) |
(* (pow d 2) (- (* -1 (/ (pow c 2) (pow d 2))) 1)) |
(* (pow d 2) (- (* -1 (/ (pow c 2) (pow d 2))) 1)) |
(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)))) |
(* a (pow d 3)) |
(* -1 (* (pow d 3) (+ (* -1 a) (* -1 (/ (* b c) d))))) |
(* -1 (* (pow d 3) (+ (* -1 a) (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))))) |
(* -1 (* (pow d 3) (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* a (pow c 2))) (* -1 (/ (* b (pow c 3)) d))) d)) (* b c)) 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))))) |
| Outputs |
|---|
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(fma.f64 (/.f64 c d) (/.f64 b d) (/.f64 (neg.f64 a) d)) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(fma.f64 (fma.f64 a (/.f64 c (pow.f64 d #s(literal 3 binary64))) (/.f64 b (*.f64 d d))) c (/.f64 (neg.f64 a) d)) |
(+ (* -1 (/ a d)) (* c (+ (* c (+ (* -1 (/ (* b c) (pow d 4))) (/ a (pow d 3)))) (/ b (pow d 2))))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (/.f64 c (pow.f64 d #s(literal 4 binary64))) (/.f64 a (pow.f64 d #s(literal 3 binary64)))) c (/.f64 b (*.f64 d d))) c (/.f64 (neg.f64 a) d)) |
(* a d) |
(*.f64 d a) |
(+ (* -1 (* b c)) (* a d)) |
(fma.f64 (neg.f64 c) b (*.f64 d a)) |
(+ (* -1 (* b c)) (* a d)) |
(fma.f64 (neg.f64 c) b (*.f64 d a)) |
(+ (* -1 (* b c)) (* a d)) |
(fma.f64 (neg.f64 c) b (*.f64 d a)) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(fma.f64 (/.f64 c d) (/.f64 b d) (/.f64 (neg.f64 a) d)) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(fma.f64 (fma.f64 a (/.f64 c (pow.f64 d #s(literal 3 binary64))) (/.f64 b (*.f64 d d))) c (/.f64 (neg.f64 a) d)) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (/.f64 c (pow.f64 d #s(literal 4 binary64))) (/.f64 a (pow.f64 d #s(literal 3 binary64)))) c (/.f64 b (*.f64 d d))) c (/.f64 (neg.f64 a) d)) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(fma.f64 (/.f64 c d) (/.f64 b d) (/.f64 (neg.f64 a) d)) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
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(/.f64 (-.f64 (fma.f64 (/.f64 c a) (/.f64 b d) (/.f64 (fma.f64 (neg.f64 c) c (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 c b) a)) c) b) a)) (*.f64 (neg.f64 d) d))) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 c b) a) d))) (*.f64 d d)) |
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* b (* c (+ (* -1 (pow c 2)) (/ (* b (* c (- (/ (* b c) a) (* -1 (/ (* b c) a))))) a)))) a)) (+ (* -1 (/ (* b (pow c 3)) a)) (* (pow c 2) (- (/ (* b c) a) (* -1 (/ (* b c) a)))))) (pow d 3))) (/ (* b c) (* a d))) (+ 1 (+ (* -1 (/ (* b c) (* a d))) (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (* b (* c (- (/ (* b c) a) (* -1 (/ (* b c) a))))) (* a (pow d 2))))))) (pow d 2)) |
(/.f64 (-.f64 (-.f64 (/.f64 (/.f64 (*.f64 c b) a) d) (/.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 (fma.f64 (neg.f64 c) c (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 c b) a)) c) b) a)) c) a) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 c b) a)) c) c (*.f64 (neg.f64 b) (/.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (pow.f64 d #s(literal 3 binary64)))) (fma.f64 #s(literal -1 binary64) (fma.f64 (/.f64 c a) (/.f64 b d) (*.f64 (/.f64 c d) (/.f64 c d))) (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 c b) a)) c) a) (/.f64 b (*.f64 d d)) #s(literal 1 binary64)))) (*.f64 d d)) |
(* -1 (pow d 2)) |
(*.f64 (neg.f64 d) d) |
(* (pow d 2) (- (* -1 (/ (pow c 2) (pow d 2))) 1)) |
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) d) (/.f64 (*.f64 c c) d) #s(literal -1 binary64)) (*.f64 d d)) |
(* (pow d 2) (- (* -1 (/ (pow c 2) (pow d 2))) 1)) |
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) d) (/.f64 (*.f64 c c) d) #s(literal -1 binary64)) (*.f64 d d)) |
(* (pow d 2) (- (* -1 (/ (pow c 2) (pow d 2))) 1)) |
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) d) (/.f64 (*.f64 c c) d) #s(literal -1 binary64)) (*.f64 d d)) |
(pow d 2) |
(*.f64 d d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) (*.f64 d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) (*.f64 d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) (*.f64 d d)) |
(* a (pow d 3)) |
(*.f64 (pow.f64 d #s(literal 3 binary64)) a) |
(* (pow d 3) (+ a (/ (* b c) d))) |
(*.f64 (fma.f64 b (/.f64 c d) a) (pow.f64 d #s(literal 3 binary64))) |
(* (pow d 3) (+ a (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 c c) d) (/.f64 a d) (fma.f64 b (/.f64 c d) a)) (pow.f64 d #s(literal 3 binary64))) |
(* (pow d 3) (+ a (+ (/ (* a (pow c 2)) (pow d 2)) (+ (/ (* b c) d) (/ (* b (pow c 3)) (pow d 3)))))) |
(*.f64 (fma.f64 b (+.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64))) (/.f64 c d)) (fma.f64 (/.f64 (*.f64 c c) d) (/.f64 a d) a)) (pow.f64 d #s(literal 3 binary64))) |
(* -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 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (-.f64 a (/.f64 (*.f64 c b) d)) (neg.f64 d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 c b (/.f64 (*.f64 (*.f64 c c) a) d)) d)) (neg.f64 d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (+ (* -1 (* a (pow c 2))) (/ (* b (pow c 3)) d)) d)) (* b c)) d))) d)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 c b (/.f64 (fma.f64 (*.f64 (neg.f64 a) c) c (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) b) d)) (neg.f64 d))) d)) (neg.f64 d)) |
(* a d) |
(*.f64 d a) |
(* -1 (* d (+ (* -1 a) (/ (* b c) d)))) |
(*.f64 (-.f64 (/.f64 (*.f64 c b) d) a) (neg.f64 d)) |
(* -1 (* d (+ (* -1 a) (/ (* b c) d)))) |
(*.f64 (-.f64 (/.f64 (*.f64 c b) d) a) (neg.f64 d)) |
(* -1 (* d (+ (* -1 a) (/ (* b c) d)))) |
(*.f64 (-.f64 (/.f64 (*.f64 c b) d) a) (neg.f64 d)) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (-.f64 a (/.f64 (*.f64 c b) d)) (neg.f64 d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 c b (/.f64 (*.f64 (*.f64 c c) a) d)) d)) (neg.f64 d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 c b (/.f64 (fma.f64 (*.f64 (neg.f64 a) c) c (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) b) d)) (neg.f64 d))) d)) (neg.f64 d)) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (-.f64 a (/.f64 (*.f64 c b) d)) (neg.f64 d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 c b (/.f64 (*.f64 (*.f64 c c) a) d)) d)) (neg.f64 d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 c b (/.f64 (fma.f64 (*.f64 (neg.f64 a) c) c (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) b) d)) (neg.f64 d))) d)) (neg.f64 d)) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* a (pow c 2)) (pow d 2)))) d)) |
(/.f64 (*.f64 a (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64))) d) |
(* -1 (/ (- (+ a (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2))) d)) |
(/.f64 (fma.f64 (neg.f64 a) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (*.f64 a (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)))) 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 (/.f64 (*.f64 c c) d) (/.f64 a d) (*.f64 (neg.f64 a) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))))) (neg.f64 d)) |
(/ 1 d) |
(/.f64 #s(literal 1 binary64) d) |
(* -1 (/ (- (/ (pow c 2) (pow d 2)) 1) d)) |
(/.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)) (neg.f64 d)) |
(* -1 (/ (- (* -1 (/ (pow c 4) (pow d 4))) (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) d)) |
(/.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 c #s(literal 4 binary64))) (pow.f64 d #s(literal 4 binary64))) (neg.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)))) (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))) (fma.f64 #s(literal -1 binary64) (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))))) (neg.f64 d)) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (-.f64 a (/.f64 (*.f64 c b) d)) (neg.f64 d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 c b (/.f64 (*.f64 (*.f64 c c) a) d)) d)) (neg.f64 d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 c b (/.f64 (fma.f64 (*.f64 (neg.f64 a) c) c (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) b) d)) (neg.f64 d))) d)) (neg.f64 d)) |
(* -1 (/ (* a d) (pow c 2))) |
(*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(*.f64 (-.f64 (/.f64 a (*.f64 c c)) (/.f64 (/.f64 b c) d)) (neg.f64 d)) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(*.f64 (-.f64 (/.f64 a (*.f64 c c)) (/.f64 (/.f64 b c) d)) (neg.f64 d)) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(*.f64 (-.f64 (/.f64 a (*.f64 c c)) (/.f64 (/.f64 b c) d)) (neg.f64 d)) |
(* -1 (/ (* a d) c)) |
(*.f64 (neg.f64 a) (/.f64 d c)) |
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) |
(*.f64 (fma.f64 (/.f64 b d) #s(literal -1 binary64) (/.f64 a c)) (neg.f64 d)) |
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) |
(*.f64 (fma.f64 (/.f64 b d) #s(literal -1 binary64) (/.f64 a c)) (neg.f64 d)) |
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) |
(*.f64 (fma.f64 (/.f64 b d) #s(literal -1 binary64) (/.f64 a c)) (neg.f64 d)) |
(/ (* a d) c) |
(/.f64 (*.f64 d a) c) |
(/ (* a d) c) |
(/.f64 (*.f64 d a) c) |
(/ (* a d) c) |
(/.f64 (*.f64 d a) c) |
(/ (* a d) c) |
(/.f64 (*.f64 d a) c) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (-.f64 a (/.f64 (*.f64 c b) d)) (neg.f64 d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 c b (/.f64 (*.f64 (*.f64 c c) a) d)) d)) (neg.f64 d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 c b (/.f64 (fma.f64 (*.f64 (neg.f64 a) c) c (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) b) d)) (neg.f64 d))) d)) (neg.f64 d)) |
(* a d) |
(*.f64 d a) |
(* -1 (* d (+ (* -1 a) (* -1 (/ (* b c) d))))) |
(*.f64 (neg.f64 (fma.f64 b (/.f64 c d) a)) (neg.f64 d)) |
(* -1 (* d (+ (* -1 a) (* -1 (/ (* b c) d))))) |
(*.f64 (neg.f64 (fma.f64 b (/.f64 c d) a)) (neg.f64 d)) |
(* -1 (* d (+ (* -1 a) (* -1 (/ (* b c) d))))) |
(*.f64 (neg.f64 (fma.f64 b (/.f64 c d) a)) (neg.f64 d)) |
(/ -1 (pow d 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 d d)) |
(/ (- (* -1 (/ (- (* -1 (/ (* b c) a)) (/ (* b c) a)) d)) 1) (pow d 2)) |
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 c b) a)) d) #s(literal 1 binary64)) (*.f64 d d)) |
(/ (- (* -1 (/ (- (+ (* -1 (/ (* b c) a)) (+ (* -1 (/ (* b (* c (- (* -1 (/ (* b c) a)) (/ (* b c) a)))) (* a d))) (* -1 (/ (pow c 2) d)))) (/ (* b c) a)) d)) 1) (pow d 2)) |
(/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 c b) a) #s(literal -2 binary64)) c) a) (/.f64 b d) (/.f64 (*.f64 c c) d)) (*.f64 (/.f64 (*.f64 c b) a) #s(literal -2 binary64))) (neg.f64 d)) #s(literal 1 binary64)) (*.f64 d d)) |
(/ (- (* -1 (/ (- (+ (* -1 (/ (* b c) a)) (* -1 (/ (- (+ (/ (* b (* c (+ (* -1 (/ (* b (* c (- (* -1 (/ (* b c) a)) (/ (* b c) a)))) a)) (* -1 (pow c 2))))) (* a d)) (+ (/ (* b (pow c 3)) (* a d)) (/ (* (pow c 2) (- (* -1 (/ (* b c) a)) (/ (* b c) a))) d))) (+ (* -1 (/ (* b (* c (- (* -1 (/ (* b c) a)) (/ (* b c) a)))) a)) (* -1 (pow c 2)))) d))) (/ (* b c) a)) d)) 1) (pow d 2)) |
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 b a) (+.f64 (/.f64 (*.f64 (neg.f64 (fma.f64 c c (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 c b) a) #s(literal -2 binary64)) c) b) a))) c) d) (/.f64 (pow.f64 c #s(literal 3 binary64)) d)) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 c b) a) #s(literal -2 binary64)) c) c) d) (neg.f64 (fma.f64 c c (/.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 c b) a) #s(literal -2 binary64)) c) b) a))))) (neg.f64 d)) (*.f64 (/.f64 (*.f64 c b) a) #s(literal -2 binary64))) (neg.f64 d)) #s(literal 1 binary64)) (*.f64 d d)) |
(* -1 (pow d 2)) |
(*.f64 (neg.f64 d) d) |
(* (pow d 2) (- (* -1 (/ (pow c 2) (pow d 2))) 1)) |
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) d) (/.f64 (*.f64 c c) d) #s(literal -1 binary64)) (*.f64 d d)) |
(* (pow d 2) (- (* -1 (/ (pow c 2) (pow d 2))) 1)) |
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) d) (/.f64 (*.f64 c c) d) #s(literal -1 binary64)) (*.f64 d d)) |
(* (pow d 2) (- (* -1 (/ (pow c 2) (pow d 2))) 1)) |
(*.f64 (fma.f64 (/.f64 #s(literal -1 binary64) d) (/.f64 (*.f64 c c) d) #s(literal -1 binary64)) (*.f64 d d)) |
(pow d 2) |
(*.f64 d d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) (*.f64 d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) (*.f64 d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) (*.f64 d d)) |
(* a (pow d 3)) |
(*.f64 (pow.f64 d #s(literal 3 binary64)) a) |
(* -1 (* (pow d 3) (+ (* -1 a) (* -1 (/ (* b c) d))))) |
(*.f64 (neg.f64 (neg.f64 (fma.f64 b (/.f64 c d) a))) (pow.f64 d #s(literal 3 binary64))) |
(* -1 (* (pow d 3) (+ (* -1 a) (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))))) |
(*.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 c b (/.f64 (*.f64 (*.f64 c c) a) d)) d) a))) (pow.f64 d #s(literal 3 binary64))) |
(* -1 (* (pow d 3) (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* a (pow c 2))) (* -1 (/ (* b (pow c 3)) d))) d)) (* b c)) d))))) |
(*.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 c b (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c c) a (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) b) d))) d)) (neg.f64 d)) a)) (pow.f64 d #s(literal 3 binary64))) |
(* -1 (* a d)) |
(*.f64 (neg.f64 d) a) |
(* -1 (* d (+ a (* -1 (/ (* b c) d))))) |
(*.f64 (-.f64 a (/.f64 (*.f64 c b) d)) (neg.f64 d)) |
(* -1 (* d (+ a (* -1 (/ (* b c) d))))) |
(*.f64 (-.f64 a (/.f64 (*.f64 c b) d)) (neg.f64 d)) |
(* -1 (* d (+ a (* -1 (/ (* b c) d))))) |
(*.f64 (-.f64 a (/.f64 (*.f64 c b) d)) (neg.f64 d)) |
| 4 264× | lower-fma.f32 |
| 4 254× | lower-fma.f64 |
| 4 098× | lower-/.f32 |
| 4 086× | lower-/.f64 |
| 3 762× | lower-*.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 231 |
| 0 | 60 | 218 |
| 1 | 244 | 218 |
| 2 | 2174 | 216 |
| 0 | 8534 | 216 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
(fma.f64 (neg.f64 b) c (*.f64 a d)) |
(neg.f64 b) |
(*.f64 a d) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
(/.f64 b c) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))) |
(neg.f64 a) |
(/.f64 d (fma.f64 c c (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
(/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) |
(-.f64 b (/.f64 (*.f64 a d) c)) |
(/.f64 (*.f64 a d) c) |
(*.f64 (fma.f64 a d (*.f64 b c)) (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 d d (*.f64 c c))))) |
(fma.f64 a d (*.f64 b c)) |
(*.f64 b c) |
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 d d (*.f64 c c)))) |
(neg.f64 (fma.f64 d d (*.f64 c c))) |
(fma.f64 c c (*.f64 d d)) |
(*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 d d (*.f64 c c))) |
(fma.f64 (neg.f64 d) a (*.f64 b c)) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (-.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (pow.f64 (*.f64 d a) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 d a (*.f64 c b)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 c b) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 c b) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 d a) #s(literal 2 binary64))) #s(literal -1 binary64))) |
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(-.f64 #s(literal 0 binary64) b) |
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(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 c)) (/.f64 b (neg.f64 c))) |
(exp.f64 (*.f64 (log.f64 (/.f64 c b)) #s(literal -1 binary64))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) (neg.f64 a))) |
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(*.f64 (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) #s(literal -1 binary64)) a) |
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(*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) (neg.f64 a)) |
(*.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c)))) |
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(*.f64 a (neg.f64 (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(pow.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (neg.f64 d) a)) #s(literal -1 binary64)) |
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(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 a))) (neg.f64 (/.f64 (fma.f64 d d (*.f64 c c)) d))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 d) (neg.f64 a))) (fma.f64 d d (*.f64 c c))) |
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(/.f64 (neg.f64 (*.f64 (neg.f64 a) (neg.f64 d))) (fma.f64 d d (*.f64 c c))) |
(/.f64 (neg.f64 (neg.f64 a)) (neg.f64 (/.f64 (fma.f64 d d (*.f64 c c)) d))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 d) a))) (fma.f64 d d (*.f64 c c))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 a)) (/.f64 (fma.f64 d d (*.f64 c c)) d)) |
(/.f64 (*.f64 (neg.f64 d) (neg.f64 a)) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
(/.f64 (*.f64 (neg.f64 a) #s(literal 1 binary64)) (/.f64 (fma.f64 d d (*.f64 c c)) d)) |
(/.f64 (*.f64 (neg.f64 a) (neg.f64 d)) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 d) a)) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
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(/.f64 (*.f64 (neg.f64 d) a) (fma.f64 d d (*.f64 c c))) |
(/.f64 (neg.f64 a) (/.f64 (fma.f64 d d (*.f64 c c)) d)) |
(neg.f64 (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) a)) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) d)) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) a)) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) a)) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) a)) |
(*.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 (neg.f64 a) (neg.f64 a)) (*.f64 #s(literal 0 binary64) (neg.f64 a))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a))) (neg.f64 (+.f64 #s(literal 0 binary64) a))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (+.f64 #s(literal 0 binary64) a)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a)))) |
(neg.f64 a) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) a)) (/.f64 (*.f64 a a) (+.f64 #s(literal 0 binary64) a))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a)))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a))))) |
(-.f64 #s(literal 0 binary64) a) |
(+.f64 #s(literal 0 binary64) (neg.f64 a)) |
(*.f64 (/.f64 d (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 (+.f64 c d) (-.f64 c d))) |
(*.f64 (/.f64 d (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (*.f64 (+.f64 d c) (-.f64 d c))) |
(*.f64 (/.f64 d (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64)))) |
(*.f64 (/.f64 d (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (-.f64 (+.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (pow.f64 (*.f64 d c) #s(literal 2 binary64)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 d) (fma.f64 d d (*.f64 c c)))) |
(*.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) (pow.f64 (pow.f64 d #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) d) |
(*.f64 #s(literal 1 binary64) (/.f64 d (fma.f64 d d (*.f64 c c)))) |
(*.f64 (neg.f64 d) (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c)))) |
(*.f64 d (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 (fma.f64 d d (*.f64 c c)) d) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 d d (*.f64 c c)) d) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (fma.f64 d d (*.f64 c c))) #s(literal 3 binary64)) (pow.f64 (/.f64 (neg.f64 d) (fma.f64 d d (*.f64 c c))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (fma.f64 d d (*.f64 c c))) (/.f64 #s(literal 0 binary64) (fma.f64 d d (*.f64 c c))) (fma.f64 (/.f64 (neg.f64 d) (fma.f64 d d (*.f64 c c))) (/.f64 (neg.f64 d) (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 #s(literal 0 binary64) (fma.f64 d d (*.f64 c c))) (/.f64 (neg.f64 d) (fma.f64 d d (*.f64 c c))))))) |
(/.f64 (neg.f64 (/.f64 (neg.f64 d) #s(literal -1 binary64))) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
(/.f64 (neg.f64 (*.f64 d #s(literal 1 binary64))) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 d))) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 d d (*.f64 c c)))) (*.f64 (neg.f64 (fma.f64 d d (*.f64 c c))) d)) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal 2 binary64))) |
(/.f64 (/.f64 (neg.f64 d) #s(literal -1 binary64)) (fma.f64 d d (*.f64 c c))) |
(/.f64 (*.f64 d #s(literal 1 binary64)) (fma.f64 d d (*.f64 c c))) |
(/.f64 (neg.f64 (neg.f64 d)) (fma.f64 d d (*.f64 c c))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (fma.f64 d d (*.f64 c c)) d) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 d d (*.f64 c c)) d))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 d d (*.f64 c c)) d)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 d d (*.f64 c c)) d) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) d)) |
(/.f64 (neg.f64 d) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
(/.f64 d (fma.f64 d d (*.f64 c c))) |
(neg.f64 (/.f64 (neg.f64 d) (fma.f64 d d (*.f64 c c)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 d d (*.f64 c c))) (/.f64 (neg.f64 d) (fma.f64 d d (*.f64 c c)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 d d (*.f64 c c)) d)) #s(literal -1 binary64))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) |
(*.f64 (pow.f64 (/.f64 c (-.f64 (*.f64 b b) (pow.f64 (/.f64 (*.f64 d a) c) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 d c) a b) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 c (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 d a) c) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 (*.f64 d a) c) (fma.f64 (/.f64 d c) a b) (*.f64 b b)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 c #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 b (/.f64 (*.f64 d a) c)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 c #s(literal -1 binary64)) (-.f64 b (/.f64 (*.f64 d a) c))) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) |
(*.f64 (fma.f64 #s(literal -1 binary64) b (/.f64 (*.f64 d a) c)) (pow.f64 (neg.f64 c) #s(literal -1 binary64))) |
(*.f64 (-.f64 b (/.f64 (*.f64 d a) c)) (pow.f64 c #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 c (-.f64 b (/.f64 (*.f64 d a) c))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 c (-.f64 b (/.f64 (*.f64 d a) c))) #s(literal -1 binary64)) |
(/.f64 (+.f64 (pow.f64 (/.f64 c b) #s(literal -3 binary64)) (pow.f64 (neg.f64 (/.f64 (/.f64 (*.f64 d a) c) c)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 c b) #s(literal -2 binary64)) (-.f64 (*.f64 (neg.f64 (/.f64 (/.f64 (*.f64 d a) c) c)) (neg.f64 (/.f64 (/.f64 (*.f64 d a) c) c))) (*.f64 (/.f64 b c) (neg.f64 (/.f64 (/.f64 (*.f64 d a) c) c)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 b b) (pow.f64 (/.f64 (*.f64 d a) c) #s(literal 2 binary64))) (pow.f64 c #s(literal -1 binary64)))) (neg.f64 (fma.f64 (/.f64 d c) a b))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 d a) c) #s(literal 3 binary64))) (pow.f64 c #s(literal -1 binary64)))) (neg.f64 (fma.f64 (/.f64 (*.f64 d a) c) (fma.f64 (/.f64 d c) a b) (*.f64 b b)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 b (/.f64 (*.f64 d a) c)) #s(literal 1 binary64))) (neg.f64 c)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 c b) #s(literal -2 binary64)) (pow.f64 (/.f64 (/.f64 (*.f64 d a) c) c) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 b c) (/.f64 (/.f64 (*.f64 d a) c) c)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 c b) #s(literal -3 binary64)) (pow.f64 (/.f64 (/.f64 (*.f64 d a) c) c) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 c b) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 (*.f64 d a) c) c) #s(literal 2 binary64)) (*.f64 (/.f64 b c) (/.f64 (/.f64 (*.f64 d a) c) c)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) b (/.f64 (*.f64 d a) c)))) (neg.f64 (neg.f64 (neg.f64 c)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 b b) (pow.f64 (/.f64 (*.f64 d a) c) #s(literal 2 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (/.f64 d c) a b) c))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 d a) c) #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 d a) c) (fma.f64 (/.f64 d c) a b) (*.f64 b b)) c))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) c) (*.f64 (/.f64 c b) (/.f64 (*.f64 d a) c)))) (neg.f64 (*.f64 (/.f64 c b) c))) |
(/.f64 (neg.f64 (-.f64 (*.f64 c (neg.f64 b)) (*.f64 (neg.f64 c) (/.f64 (*.f64 d a) c)))) (neg.f64 (*.f64 (neg.f64 c) c))) |
(/.f64 (neg.f64 (-.f64 (*.f64 c b) (*.f64 c (/.f64 (*.f64 d a) c)))) (*.f64 (neg.f64 c) c)) |
(/.f64 (-.f64 (*.f64 (*.f64 b #s(literal 1 binary64)) (neg.f64 c)) (*.f64 c (/.f64 (*.f64 (neg.f64 d) a) c))) (*.f64 (neg.f64 c) c)) |
(/.f64 (-.f64 (*.f64 (*.f64 b #s(literal 1 binary64)) (/.f64 c (/.f64 (*.f64 d a) c))) (*.f64 c #s(literal 1 binary64))) (*.f64 c (/.f64 c (/.f64 (*.f64 d a) c)))) |
(/.f64 (-.f64 (*.f64 (*.f64 b #s(literal 1 binary64)) (*.f64 c (/.f64 c (*.f64 d a)))) (*.f64 c #s(literal 1 binary64))) (*.f64 c (*.f64 c (/.f64 c (*.f64 d a))))) |
(/.f64 (-.f64 (*.f64 (*.f64 b #s(literal 1 binary64)) (*.f64 (neg.f64 c) c)) (*.f64 c (*.f64 (neg.f64 d) a))) (*.f64 c (*.f64 (neg.f64 c) c))) |
(/.f64 (-.f64 (*.f64 (*.f64 b #s(literal 1 binary64)) c) (*.f64 c (/.f64 (*.f64 d a) c))) (*.f64 c c)) |
(/.f64 (-.f64 (*.f64 (*.f64 b #s(literal 1 binary64)) (*.f64 c c)) (*.f64 c (*.f64 d a))) (pow.f64 c #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 b)) (neg.f64 c)) (*.f64 (neg.f64 (neg.f64 c)) (/.f64 (*.f64 (neg.f64 d) a) c))) (*.f64 (neg.f64 (neg.f64 c)) (neg.f64 c))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 b)) (/.f64 c (/.f64 (*.f64 d a) c))) (*.f64 (neg.f64 (neg.f64 c)) #s(literal 1 binary64))) (*.f64 (neg.f64 (neg.f64 c)) (/.f64 c (/.f64 (*.f64 d a) c)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 b)) (*.f64 c (/.f64 c (*.f64 d a)))) (*.f64 (neg.f64 (neg.f64 c)) #s(literal 1 binary64))) (*.f64 (neg.f64 (neg.f64 c)) (*.f64 c (/.f64 c (*.f64 d a))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 b)) (*.f64 (neg.f64 c) c)) (*.f64 (neg.f64 (neg.f64 c)) (*.f64 (neg.f64 d) a))) (*.f64 (neg.f64 (neg.f64 c)) (*.f64 (neg.f64 c) c))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 b)) c) (*.f64 (neg.f64 (neg.f64 c)) (/.f64 (*.f64 d a) c))) (*.f64 (neg.f64 (neg.f64 c)) c)) |
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 b)) (*.f64 c c)) (*.f64 (neg.f64 (neg.f64 c)) (*.f64 d a))) (*.f64 (neg.f64 (neg.f64 c)) (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 c)) (*.f64 (neg.f64 (/.f64 c b)) (/.f64 (*.f64 (neg.f64 d) a) c))) (*.f64 (neg.f64 (/.f64 c b)) (neg.f64 c))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 c (/.f64 (*.f64 d a) c))) (*.f64 (neg.f64 (/.f64 c b)) #s(literal 1 binary64))) (*.f64 (neg.f64 (/.f64 c b)) (/.f64 c (/.f64 (*.f64 d a) c)))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 c (/.f64 c (*.f64 d a)))) (*.f64 (neg.f64 (/.f64 c b)) #s(literal 1 binary64))) (*.f64 (neg.f64 (/.f64 c b)) (*.f64 c (/.f64 c (*.f64 d a))))) |
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 c) c)) (*.f64 (neg.f64 (/.f64 c b)) (*.f64 (neg.f64 d) a))) (*.f64 (neg.f64 (/.f64 c b)) (*.f64 (neg.f64 c) c))) |
(/.f64 (-.f64 (neg.f64 c) (*.f64 (neg.f64 (/.f64 c b)) (/.f64 (*.f64 d a) c))) (*.f64 (neg.f64 (/.f64 c b)) c)) |
(/.f64 (-.f64 (*.f64 (neg.f64 c) c) (*.f64 (neg.f64 (/.f64 c b)) (*.f64 d a))) (*.f64 (neg.f64 (/.f64 c b)) (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 c)) (*.f64 (/.f64 (/.f64 c b) #s(literal 1 binary64)) (/.f64 (*.f64 (neg.f64 d) a) c))) (*.f64 (/.f64 (/.f64 c b) #s(literal 1 binary64)) (neg.f64 c))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 c (/.f64 (*.f64 d a) c))) (*.f64 (/.f64 (/.f64 c b) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 (/.f64 c b) #s(literal 1 binary64)) (/.f64 c (/.f64 (*.f64 d a) c)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 c (/.f64 c (*.f64 d a)))) (*.f64 (/.f64 (/.f64 c b) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 (/.f64 c b) #s(literal 1 binary64)) (*.f64 c (/.f64 c (*.f64 d a))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c)) (*.f64 (/.f64 (/.f64 c b) #s(literal 1 binary64)) (*.f64 (neg.f64 d) a))) (*.f64 (/.f64 (/.f64 c b) #s(literal 1 binary64)) (*.f64 (neg.f64 c) c))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) c) (*.f64 (/.f64 (/.f64 c b) #s(literal 1 binary64)) (/.f64 (*.f64 d a) c))) (*.f64 (/.f64 (/.f64 c b) #s(literal 1 binary64)) c)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 c c)) (*.f64 (/.f64 (/.f64 c b) #s(literal 1 binary64)) (*.f64 d a))) (*.f64 (/.f64 (/.f64 c b) #s(literal 1 binary64)) (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 c)) (*.f64 (/.f64 c b) (/.f64 (*.f64 (neg.f64 d) a) c))) (*.f64 (/.f64 c b) (neg.f64 c))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 c (/.f64 (*.f64 d a) c))) (*.f64 (/.f64 c b) #s(literal 1 binary64))) (*.f64 (/.f64 c b) (/.f64 c (/.f64 (*.f64 d a) c)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 c (/.f64 c (*.f64 d a)))) (*.f64 (/.f64 c b) #s(literal 1 binary64))) (*.f64 (/.f64 c b) (*.f64 c (/.f64 c (*.f64 d a))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c)) (*.f64 (/.f64 c b) (*.f64 (neg.f64 d) a))) (*.f64 (/.f64 c b) (*.f64 (neg.f64 c) c))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 c c)) (*.f64 (/.f64 c b) (*.f64 d a))) (*.f64 (/.f64 c b) (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 (neg.f64 b) (neg.f64 c)) (*.f64 (neg.f64 c) (/.f64 (*.f64 (neg.f64 d) a) c))) (*.f64 c c)) |
(/.f64 (-.f64 (*.f64 (neg.f64 b) (/.f64 c (/.f64 (*.f64 d a) c))) (*.f64 (neg.f64 c) #s(literal 1 binary64))) (*.f64 (neg.f64 c) (/.f64 c (/.f64 (*.f64 d a) c)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 b) (*.f64 c (/.f64 c (*.f64 d a)))) (*.f64 (neg.f64 c) #s(literal 1 binary64))) (*.f64 (neg.f64 c) (*.f64 c (/.f64 c (*.f64 d a))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 b) (*.f64 (neg.f64 c) c)) (*.f64 (neg.f64 c) (*.f64 (neg.f64 d) a))) (*.f64 (neg.f64 c) (*.f64 (neg.f64 c) c))) |
(/.f64 (-.f64 (*.f64 (neg.f64 b) (*.f64 c c)) (*.f64 (neg.f64 c) (*.f64 d a))) (pow.f64 (neg.f64 c) #s(literal 3 binary64))) |
(/.f64 (-.f64 (*.f64 c (neg.f64 b)) (*.f64 c (/.f64 (*.f64 (neg.f64 d) a) c))) (*.f64 (neg.f64 c) c)) |
(/.f64 (-.f64 (*.f64 b (/.f64 c (/.f64 (*.f64 d a) c))) (*.f64 c #s(literal 1 binary64))) (*.f64 c (/.f64 c (/.f64 (*.f64 d a) c)))) |
(/.f64 (-.f64 (*.f64 b (*.f64 c (/.f64 c (*.f64 d a)))) (*.f64 c #s(literal 1 binary64))) (*.f64 c (*.f64 c (/.f64 c (*.f64 d a))))) |
(/.f64 (-.f64 (*.f64 b (*.f64 (neg.f64 c) c)) (*.f64 c (*.f64 (neg.f64 d) a))) (*.f64 c (*.f64 (neg.f64 c) c))) |
(/.f64 (-.f64 (*.f64 b (*.f64 c c)) (*.f64 c (*.f64 d a))) (pow.f64 c #s(literal 3 binary64))) |
(/.f64 (-.f64 (neg.f64 b) (/.f64 (*.f64 (neg.f64 d) a) c)) (neg.f64 c)) |
(/.f64 (-.f64 (*.f64 b #s(literal 1 binary64)) (/.f64 (*.f64 d a) c)) c) |
(/.f64 (*.f64 (-.f64 (*.f64 b b) (pow.f64 (/.f64 (*.f64 d a) c) #s(literal 2 binary64))) (pow.f64 c #s(literal -1 binary64))) (fma.f64 (/.f64 d c) a b)) |
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 d a) c) #s(literal 3 binary64))) (pow.f64 c #s(literal -1 binary64))) (fma.f64 (/.f64 (*.f64 d a) c) (fma.f64 (/.f64 d c) a b) (*.f64 b b))) |
(/.f64 (*.f64 (-.f64 b (/.f64 (*.f64 d a) c)) #s(literal 1 binary64)) c) |
(/.f64 (-.f64 (pow.f64 (/.f64 c b) #s(literal -2 binary64)) (pow.f64 (/.f64 (/.f64 (*.f64 d a) c) c) #s(literal 2 binary64))) (+.f64 (/.f64 b c) (/.f64 (/.f64 (*.f64 d a) c) c))) |
(/.f64 (-.f64 (pow.f64 (/.f64 c b) #s(literal -3 binary64)) (pow.f64 (/.f64 (/.f64 (*.f64 d a) c) c) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 c b) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 (*.f64 d a) c) c) #s(literal 2 binary64)) (*.f64 (/.f64 b c) (/.f64 (/.f64 (*.f64 d a) c) c))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (pow.f64 (/.f64 (*.f64 d a) c) #s(literal 2 binary64)))) (neg.f64 (*.f64 c (fma.f64 (/.f64 d c) a b)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 d a) c) #s(literal 3 binary64)))) (neg.f64 (*.f64 c (fma.f64 (/.f64 (*.f64 d a) c) (fma.f64 (/.f64 d c) a b) (*.f64 b b))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) b (/.f64 (*.f64 d a) c))) (neg.f64 (neg.f64 c))) |
(/.f64 (*.f64 (-.f64 (*.f64 b b) (pow.f64 (/.f64 (*.f64 d a) c) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (/.f64 d c) a b) c)) |
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(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) c) (*.f64 (/.f64 c b) (/.f64 (*.f64 d a) c))) (*.f64 (/.f64 c b) c)) |
(/.f64 (-.f64 (*.f64 c (neg.f64 b)) (*.f64 (neg.f64 c) (/.f64 (*.f64 d a) c))) (*.f64 (neg.f64 c) c)) |
(/.f64 (-.f64 (*.f64 c b) (*.f64 c (/.f64 (*.f64 d a) c))) (*.f64 c c)) |
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(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 c (-.f64 b (/.f64 (*.f64 d a) c)))))) |
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(/.f64 #s(literal 1 binary64) (/.f64 c (-.f64 b (/.f64 (*.f64 d a) c)))) |
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(neg.f64 (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) (neg.f64 c))) |
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(exp.f64 (*.f64 (log.f64 (/.f64 c (-.f64 b (/.f64 (*.f64 d a) c)))) #s(literal -1 binary64))) |
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(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 d a) c) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 d a) c) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 (/.f64 (*.f64 (neg.f64 d) a) c) b)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 b b) (pow.f64 (/.f64 (*.f64 d a) c) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 d c) a b)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 d a) c) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 d a) c) (fma.f64 (/.f64 d c) a b) (*.f64 b b))))) |
(/.f64 (-.f64 (*.f64 (*.f64 b b) (fma.f64 (/.f64 d c) a b)) (*.f64 (fma.f64 (/.f64 d c) a b) (pow.f64 (/.f64 (*.f64 d a) c) #s(literal 2 binary64)))) (*.f64 (fma.f64 (/.f64 d c) a b) (fma.f64 (/.f64 d c) a b))) |
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(/.f64 (neg.f64 (-.f64 (*.f64 b b) (pow.f64 (/.f64 (*.f64 d a) c) #s(literal 2 binary64)))) (neg.f64 (-.f64 b (/.f64 (*.f64 (neg.f64 d) a) c)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (pow.f64 (/.f64 (*.f64 d a) c) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (/.f64 d c) a b))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 d a) c) #s(literal 3 binary64)))) (neg.f64 (fma.f64 b b (-.f64 (pow.f64 (/.f64 (*.f64 d a) c) #s(literal 2 binary64)) (*.f64 b (/.f64 (*.f64 (neg.f64 d) a) c)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 d a) c) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (*.f64 d a) c) (fma.f64 (/.f64 d c) a b) (*.f64 b b)))) |
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(/.f64 (-.f64 (*.f64 b b) (pow.f64 (/.f64 (*.f64 d a) c) #s(literal 2 binary64))) (fma.f64 (/.f64 d c) a b)) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 d a) c) (fma.f64 (/.f64 d c) a b) (*.f64 b b)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 d a) c) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 d c) a b) (-.f64 (*.f64 b b) (pow.f64 (/.f64 (*.f64 d a) c) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 d a) c) (fma.f64 (/.f64 d c) a b) (*.f64 b b)) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 d a) c) #s(literal 3 binary64))))) |
(/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 d a) c) #s(literal 3 binary64))) (fma.f64 b b (-.f64 (pow.f64 (/.f64 (*.f64 d a) c) #s(literal 2 binary64)) (*.f64 b (/.f64 (*.f64 (neg.f64 d) a) c))))) |
(/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 d a) c) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 d a) c) (fma.f64 (/.f64 d c) a b) (*.f64 b b))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 d a) c) b) |
(fma.f64 (*.f64 (neg.f64 d) a) (pow.f64 c #s(literal -1 binary64)) b) |
(fma.f64 (neg.f64 a) (/.f64 d c) b) |
(fma.f64 (*.f64 d a) (neg.f64 (pow.f64 c #s(literal -1 binary64))) b) |
(fma.f64 a (neg.f64 (/.f64 d c)) b) |
(-.f64 (/.f64 (*.f64 b b) (-.f64 b (/.f64 (*.f64 (neg.f64 d) a) c))) (/.f64 (pow.f64 (/.f64 (*.f64 d a) c) #s(literal 2 binary64)) (-.f64 b (/.f64 (*.f64 (neg.f64 d) a) c)))) |
(-.f64 (/.f64 (*.f64 b b) (fma.f64 (/.f64 d c) a b)) (/.f64 (pow.f64 (/.f64 (*.f64 d a) c) #s(literal 2 binary64)) (fma.f64 (/.f64 d c) a b))) |
(-.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (/.f64 (*.f64 d a) c) (fma.f64 (/.f64 d c) a b) (*.f64 b b))) (/.f64 (pow.f64 (/.f64 (*.f64 d a) c) #s(literal 3 binary64)) (fma.f64 (/.f64 (*.f64 d a) c) (fma.f64 (/.f64 d c) a b) (*.f64 b b)))) |
(-.f64 b (/.f64 (*.f64 d a) c)) |
(+.f64 (/.f64 (*.f64 (neg.f64 d) a) c) b) |
(+.f64 b (/.f64 (*.f64 (neg.f64 d) a) c)) |
(*.f64 (/.f64 d c) a) |
(*.f64 (pow.f64 c #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 d a) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 c #s(literal -1 binary64)) (*.f64 d a)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 d a) c)) |
(*.f64 (*.f64 (neg.f64 d) a) (pow.f64 (neg.f64 c) #s(literal -1 binary64))) |
(*.f64 (neg.f64 d) (/.f64 a (neg.f64 c))) |
(*.f64 (*.f64 d a) (pow.f64 c #s(literal -1 binary64))) |
(*.f64 d (/.f64 a c)) |
(*.f64 d (*.f64 a (pow.f64 c #s(literal -1 binary64)))) |
(*.f64 a (/.f64 d c)) |
(pow.f64 (/.f64 (/.f64 c (*.f64 d a)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 c (*.f64 d a)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 d) a))) (neg.f64 (neg.f64 (neg.f64 c)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 d a) #s(literal 1 binary64))) (neg.f64 c)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 d) a)) (neg.f64 (neg.f64 c))) |
(/.f64 (*.f64 (*.f64 d a) #s(literal 1 binary64)) c) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 c (*.f64 d a)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 c (*.f64 d a))))) |
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(/.f64 #s(literal 1 binary64) (/.f64 c (*.f64 d a))) |
(/.f64 (*.f64 (neg.f64 d) a) (neg.f64 c)) |
(/.f64 (*.f64 d a) c) |
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(exp.f64 (*.f64 (log.f64 (/.f64 c (*.f64 d a))) #s(literal -1 binary64))) |
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(*.f64 (pow.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 c b) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 c b) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 d a) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (neg.f64 (fma.f64 d d (*.f64 c c))) (-.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (pow.f64 (*.f64 d a) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 d a (*.f64 c b)) #s(literal -1 binary64))) |
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(*.f64 (/.f64 (fma.f64 (neg.f64 d) a (*.f64 c b)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 (+.f64 c d) (-.f64 c d))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 d) a (*.f64 c b)) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (*.f64 (+.f64 d c) (-.f64 d c))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 d) a (*.f64 c b)) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64)))) |
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(-.f64 (*.f64 c (/.f64 b (fma.f64 d d (*.f64 c c)))) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) a)) |
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(-.f64 (*.f64 (neg.f64 d) a) (*.f64 c b)) |
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(*.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 c b) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 d a) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 d a (*.f64 c b)) (-.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (pow.f64 (*.f64 d a) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 c b) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 c b) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 d a) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 (neg.f64 d) a (*.f64 c b)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 (neg.f64 d) a (*.f64 c b)) (fma.f64 (neg.f64 d) a (*.f64 c b)) (*.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 d) a (*.f64 c b)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (fma.f64 d a (*.f64 c b))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 d a) #s(literal 2 binary64)) (fma.f64 d a (*.f64 c b))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (fma.f64 d a (*.f64 c b))) (/.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (fma.f64 d a (*.f64 c b))) (fma.f64 (/.f64 (pow.f64 (*.f64 d a) #s(literal 2 binary64)) (fma.f64 d a (*.f64 c b))) (/.f64 (pow.f64 (*.f64 d a) #s(literal 2 binary64)) (fma.f64 d a (*.f64 c b))) (*.f64 (/.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (fma.f64 d a (*.f64 c b))) (/.f64 (pow.f64 (*.f64 d a) #s(literal 2 binary64)) (fma.f64 d a (*.f64 c b))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 d a) #s(literal 2 binary64)) (fma.f64 d a (*.f64 c b))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (fma.f64 d a (*.f64 c b))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 d a) #s(literal 2 binary64)) (fma.f64 d a (*.f64 c b))) (/.f64 (pow.f64 (*.f64 d a) #s(literal 2 binary64)) (fma.f64 d a (*.f64 c b))) (fma.f64 (/.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (fma.f64 d a (*.f64 c b))) (/.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (fma.f64 d a (*.f64 c b))) (*.f64 (/.f64 (pow.f64 (*.f64 d a) #s(literal 2 binary64)) (fma.f64 d a (*.f64 c b))) (/.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (fma.f64 d a (*.f64 c b))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 c b) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 d a) #s(literal 3 binary64)) (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 c b) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 c b) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 c b) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 (*.f64 d a) #s(literal 3 binary64)) (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 c b) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 d a) #s(literal 3 binary64)) (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 c b) #s(literal 2 binary64)))) (*.f64 (/.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 c b) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 d a) #s(literal 3 binary64)) (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 c b) #s(literal 2 binary64)))))))) |
(/.f64 (+.f64 (pow.f64 (neg.f64 (*.f64 c (neg.f64 b))) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64))) (fma.f64 (neg.f64 (*.f64 c (neg.f64 b))) (neg.f64 (*.f64 c (neg.f64 b))) (-.f64 (pow.f64 (*.f64 d a) #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 c (neg.f64 b))) (*.f64 (neg.f64 d) a))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 d a) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 c (neg.f64 b))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 d a) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (*.f64 c (neg.f64 b))) (neg.f64 (*.f64 c (neg.f64 b)))) (*.f64 (*.f64 (neg.f64 d) a) (neg.f64 (*.f64 c (neg.f64 b))))))) |
(/.f64 (+.f64 (pow.f64 (neg.f64 (*.f64 (neg.f64 d) a)) #s(literal 3 binary64)) (pow.f64 (*.f64 c b) #s(literal 3 binary64))) (fma.f64 (neg.f64 (*.f64 (neg.f64 d) a)) (neg.f64 (*.f64 (neg.f64 d) a)) (-.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 (neg.f64 d) a)) (*.f64 c (neg.f64 b)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 (neg.f64 d) a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (*.f64 (neg.f64 d) a)) (neg.f64 (*.f64 (neg.f64 d) a))) (*.f64 (*.f64 c (neg.f64 b)) (neg.f64 (*.f64 (neg.f64 d) a)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 c b) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 d a) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 c b) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 c b) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 c b) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 d a) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (pow.f64 (*.f64 d a) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 d a (*.f64 c b))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (pow.f64 (*.f64 d a) #s(literal 2 binary64))))) (neg.f64 (fma.f64 d a (*.f64 c b)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (fma.f64 d a (*.f64 c b))) (*.f64 (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 d a) #s(literal 2 binary64)))) (pow.f64 (fma.f64 d a (*.f64 c b)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 d a) #s(literal 2 binary64)) (fma.f64 d a (*.f64 c b))) (*.f64 (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 c b) #s(literal 2 binary64)))) (pow.f64 (fma.f64 d a (*.f64 c b)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 c b) #s(literal 2 binary64)))) (*.f64 (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 c b) #s(literal 2 binary64))) (pow.f64 (*.f64 d a) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 c b) #s(literal 2 binary64))) (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 c b) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (pow.f64 (*.f64 d a) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (fma.f64 d a (*.f64 c b))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (pow.f64 (*.f64 d a) #s(literal 2 binary64)))) (neg.f64 (fma.f64 d a (*.f64 c b)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (pow.f64 (*.f64 d a) #s(literal 2 binary64)))) (fma.f64 d a (*.f64 c b))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 c b) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 d a) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 c b) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 c b) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 c b) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 d a) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64)))) (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 c b) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64)))) (fma.f64 (*.f64 c b) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 d a) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (pow.f64 (*.f64 d a) #s(literal 2 binary64))) (neg.f64 (fma.f64 d a (*.f64 c b)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (pow.f64 (*.f64 d a) #s(literal 2 binary64))) (fma.f64 d a (*.f64 c b))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 d a (*.f64 c b)) (-.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (pow.f64 (*.f64 d a) #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 c b) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 c b) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 d a) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d a (*.f64 c b)) (-.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (pow.f64 (*.f64 d a) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 c b) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 c b) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 d a) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64))) (neg.f64 (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 c b) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64))) (neg.f64 (fma.f64 (*.f64 c b) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 d a) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64))) (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 c b) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64))) (fma.f64 (*.f64 c b) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 d a) #s(literal 2 binary64)))) |
(neg.f64 (fma.f64 (neg.f64 d) a (*.f64 c b))) |
(fma.f64 (*.f64 c #s(literal -1 binary64)) b (neg.f64 (*.f64 (neg.f64 d) a))) |
(fma.f64 (*.f64 c #s(literal -1 binary64)) b (*.f64 d a)) |
(fma.f64 #s(literal -1 binary64) (*.f64 c b) (neg.f64 (*.f64 (neg.f64 d) a))) |
(fma.f64 #s(literal -1 binary64) (*.f64 c b) (*.f64 d a)) |
(fma.f64 #s(literal -1 binary64) (*.f64 d a) (neg.f64 (*.f64 c (neg.f64 b)))) |
(fma.f64 #s(literal -1 binary64) (*.f64 d a) (*.f64 c b)) |
(fma.f64 (neg.f64 c) b (neg.f64 (*.f64 (neg.f64 d) a))) |
(fma.f64 (neg.f64 c) b (*.f64 d a)) |
(fma.f64 (neg.f64 d) a (neg.f64 (*.f64 c (neg.f64 b)))) |
(fma.f64 (neg.f64 d) a (*.f64 c b)) |
(fma.f64 (neg.f64 a) d (neg.f64 (*.f64 c (neg.f64 b)))) |
(fma.f64 (neg.f64 a) d (*.f64 c b)) |
(fma.f64 d (neg.f64 a) (neg.f64 (*.f64 c (neg.f64 b)))) |
(fma.f64 d (neg.f64 a) (*.f64 c b)) |
(fma.f64 d a (*.f64 c (neg.f64 b))) |
(fma.f64 a (neg.f64 d) (neg.f64 (*.f64 c (neg.f64 b)))) |
(fma.f64 a (neg.f64 d) (*.f64 c b)) |
(fma.f64 a d (*.f64 c (neg.f64 b))) |
(fma.f64 c (neg.f64 b) (neg.f64 (*.f64 (neg.f64 d) a))) |
(fma.f64 c (neg.f64 b) (*.f64 d a)) |
(fma.f64 c b (*.f64 (neg.f64 d) a)) |
(fma.f64 (neg.f64 b) c (neg.f64 (*.f64 (neg.f64 d) a))) |
(fma.f64 (neg.f64 b) c (*.f64 d a)) |
(fma.f64 b (neg.f64 c) (neg.f64 (*.f64 (neg.f64 d) a))) |
(fma.f64 b (neg.f64 c) (*.f64 d a)) |
(fma.f64 b c (*.f64 (neg.f64 d) a)) |
(-.f64 (/.f64 (pow.f64 (*.f64 d a) #s(literal 2 binary64)) (neg.f64 (fma.f64 d a (*.f64 c b)))) (/.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (neg.f64 (fma.f64 d a (*.f64 c b))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (neg.f64 (fma.f64 d a (*.f64 c b)))) (/.f64 (pow.f64 (*.f64 d a) #s(literal 2 binary64)) (neg.f64 (fma.f64 d a (*.f64 c b))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (neg.f64 (fma.f64 (*.f64 c b) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 d a) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 d a) #s(literal 3 binary64)) (neg.f64 (fma.f64 (*.f64 c b) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 d a) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (fma.f64 (*.f64 c b) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 d a) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 d a) #s(literal 3 binary64)) (fma.f64 (*.f64 c b) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 d a) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 d a) #s(literal 3 binary64)) (fma.f64 (*.f64 c b) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 d a) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (fma.f64 (*.f64 c b) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 d a) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 d a) #s(literal 2 binary64)) (fma.f64 d a (*.f64 c b))) (/.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (fma.f64 d a (*.f64 c b)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (fma.f64 d a (*.f64 c b))) (/.f64 (pow.f64 (*.f64 d a) #s(literal 2 binary64)) (fma.f64 d a (*.f64 c b)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 c b) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 d a) #s(literal 3 binary64)) (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 c b) #s(literal 2 binary64))))) |
(-.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 d) a (*.f64 c b))) |
(-.f64 (*.f64 c b) (*.f64 d a)) |
(-.f64 (*.f64 d a) (*.f64 c b)) |
(+.f64 (neg.f64 (*.f64 c (neg.f64 b))) (*.f64 (neg.f64 d) a)) |
(+.f64 (neg.f64 (*.f64 (neg.f64 d) a)) (*.f64 c (neg.f64 b))) |
(+.f64 (*.f64 c (neg.f64 b)) (neg.f64 (*.f64 (neg.f64 d) a))) |
(+.f64 (*.f64 c (neg.f64 b)) (*.f64 d a)) |
(+.f64 (*.f64 (neg.f64 d) a) (neg.f64 (*.f64 c (neg.f64 b)))) |
(+.f64 (*.f64 (neg.f64 d) a) (*.f64 c b)) |
(+.f64 (*.f64 c b) (*.f64 (neg.f64 d) a)) |
(+.f64 (*.f64 d a) (*.f64 c (neg.f64 b))) |
Compiled 68 305 to 4 787 computations (93% saved)
19 alts after pruning (16 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 219 | 11 | 2 230 |
| Fresh | 5 | 5 | 10 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 226 | 19 | 2 245 |
| Status | Accuracy | Program |
|---|---|---|
| 36.3% | (/.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) #s(approx (neg (+ (* d d) (* c c))) (*.f64 (neg.f64 c) c))) | |
| 36.9% | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| 36.3% | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| 30.5% | (*.f64 (fma.f64 a d (*.f64 b c)) (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) #s(approx (* (+ (* a d) (* b c)) (+ (* d d) (* c c))) (*.f64 (*.f64 (fma.f64 c b (*.f64 d a)) d) d)))) | |
| ▶ | 51.9% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c d) (/.f64 b d) (/.f64 (neg.f64 a) d))) |
| 50.5% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) d)) | |
| ▶ | 53.4% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) |
| ✓ | 53.9% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
| ▶ | 41.9% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
| ▶ | 23.9% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) |
| ✓ | 42.4% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
| 41.9% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) | |
| 38.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) | |
| ✓ | 43.3% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
| ▶ | 29.3% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 d d))))) |
| 21.6% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) | |
| 41.7% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)))) | |
| 42.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d))))) | |
| 24.6% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) |
Compiled 406 to 351 computations (13.5% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 b d) | |
| cost-diff | 0 | (/.f64 c d) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c d) (/.f64 b d) (/.f64 (neg.f64 a) d))) | |
| cost-diff | 704 | (fma.f64 (/.f64 c d) (/.f64 b d) (/.f64 (neg.f64 a) d)) | |
| cost-diff | 0 | (*.f64 (neg.f64 a) (/.f64 d c)) | |
| cost-diff | 0 | #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) | |
| cost-diff | 0 | (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) | |
| cost-diff | 0 | (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| cost-diff | 0 | (neg.f64 a) | |
| cost-diff | 0 | (*.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 d d))))) | |
| cost-diff | 0 | (neg.f64 a) | |
| cost-diff | 0 | (/.f64 (neg.f64 a) d) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) | |
| cost-diff | 0 | (/.f64 (*.f64 c b) d) | |
| cost-diff | 0 | (-.f64 (/.f64 (*.f64 c b) d) a) | |
| cost-diff | 0 | (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) |
| 1 848× | lower-fma.f32 |
| 1 846× | lower-fma.f64 |
| 1 320× | lower-*.f32 |
| 1 312× | lower-*.f64 |
| 612× | distribute-lft-neg-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 290 |
| 0 | 51 | 286 |
| 1 | 89 | 286 |
| 2 | 146 | 286 |
| 3 | 258 | 286 |
| 4 | 419 | 286 |
| 5 | 683 | 286 |
| 6 | 1099 | 286 |
| 7 | 1815 | 286 |
| 8 | 3364 | 286 |
| 9 | 4086 | 286 |
| 10 | 4353 | 286 |
| 11 | 4462 | 286 |
| 12 | 4511 | 286 |
| 13 | 4521 | 286 |
| 14 | 4530 | 286 |
| 15 | 4534 | 286 |
| 16 | 4534 | 286 |
| 17 | 4554 | 286 |
| 18 | 4562 | 286 |
| 19 | 4562 | 286 |
| 0 | 4562 | 277 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) |
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) |
(-.f64 (/.f64 (*.f64 c b) d) a) |
(/.f64 (*.f64 c b) d) |
(*.f64 c b) |
c |
b |
d |
a |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
(/.f64 (neg.f64 a) d) |
(neg.f64 a) |
a |
d |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 d d))))) |
(*.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) |
(neg.f64 a) |
a |
(/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
d |
#s(approx (+ (* c c) (* d d)) (*.f64 d d)) |
(*.f64 d d) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) |
(/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c) |
#s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) |
(*.f64 (neg.f64 a) (/.f64 d c)) |
(neg.f64 a) |
a |
(/.f64 d c) |
d |
c |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c d) (/.f64 b d) (/.f64 (neg.f64 a) d))) |
(fma.f64 (/.f64 c d) (/.f64 b d) (/.f64 (neg.f64 a) d)) |
(/.f64 c d) |
c |
d |
(/.f64 b d) |
b |
(/.f64 (neg.f64 a) d) |
(neg.f64 a) |
a |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) |
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) |
(/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) |
(-.f64 (/.f64 (*.f64 c b) d) a) |
(fma.f64 (/.f64 b d) c (neg.f64 a)) |
(/.f64 (*.f64 c b) d) |
(*.f64 (/.f64 b d) c) |
(*.f64 c b) |
c |
b |
d |
a |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
(/.f64 (neg.f64 a) d) |
(neg.f64 a) |
a |
d |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 (neg.f64 a) d) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) |
(*.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) |
(/.f64 (*.f64 (neg.f64 a) d) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(neg.f64 a) |
a |
(/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
d |
#s(approx (+ (* c c) (* d d)) (*.f64 d d)) |
(*.f64 d d) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (/.f64 (neg.f64 a) c) d)) c)) |
(/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c) |
(/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (/.f64 (neg.f64 a) c) d)) c) |
#s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) |
#s(approx (- b (/ (* a d) c)) (*.f64 (/.f64 (neg.f64 a) c) d)) |
(*.f64 (neg.f64 a) (/.f64 d c)) |
(*.f64 (/.f64 (neg.f64 a) c) d) |
(neg.f64 a) |
a |
(/.f64 d c) |
d |
c |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c d) (/.f64 b d) (/.f64 (neg.f64 a) d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) |
(fma.f64 (/.f64 c d) (/.f64 b d) (/.f64 (neg.f64 a) d)) |
(/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) |
(/.f64 c d) |
c |
d |
(/.f64 b d) |
b |
(/.f64 (neg.f64 a) d) |
(neg.f64 a) |
a |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 b d) | |
| accuracy | 0 | (neg.f64 a) | |
| accuracy | 3.7487133729439615 | (fma.f64 (/.f64 c d) (/.f64 b d) (/.f64 (neg.f64 a) d)) | |
| accuracy | 29.20424829677078 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c d) (/.f64 b d) (/.f64 (neg.f64 a) d))) | |
| accuracy | 0.31160487170753504 | (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c) | |
| accuracy | 4.101759936497386 | (*.f64 (neg.f64 a) (/.f64 d c)) | |
| accuracy | 27.625735154406307 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) | |
| accuracy | 30.901932895266267 | #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) | |
| accuracy | 2.8892059324953623 | (*.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) | |
| accuracy | 19.104459085123555 | (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| accuracy | 26.852619629639577 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 d d))))) | |
| accuracy | 27.12834695556548 | #s(approx (+ (* c c) (* d d)) (*.f64 d d)) | |
| accuracy | 0 | (/.f64 (neg.f64 a) d) | |
| accuracy | 0 | (neg.f64 a) | |
| accuracy | 37.19628858862628 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) | |
| accuracy | 0 | (*.f64 c b) | |
| accuracy | 1.466011979014645 | (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) | |
| accuracy | 4.573907525382667 | (/.f64 (*.f64 c b) d) | |
| accuracy | 29.20424829677078 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) |
| 56.0ms | 256× | 0 | valid |
Compiled 206 to 30 computations (85.4% saved)
ival-div: 18.0ms (46.4% of total)ival-mult: 14.0ms (36.1% of total)ival-sub: 3.0ms (7.7% of total)ival-add: 2.0ms (5.2% of total)ival-neg: 1.0ms (2.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) (patch (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 (*.f64 c b) d) a) (patch (-.f64 (/.f64 (*.f64 c b) d) a) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 c b) d) (patch (/.f64 (*.f64 c b) d) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) #<representation binary64>) () ()) |
#s(alt (/.f64 (neg.f64 a) d) (patch (/.f64 (neg.f64 a) d) #<representation binary64>) () ()) |
#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 d d))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 d d))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) (patch (*.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) #<representation binary64>) () ()) |
#s(alt (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 d d))) (patch (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 d d))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c) (patch (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c) #<representation binary64>) () ()) |
#s(alt #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) (patch #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 a) (/.f64 d c)) (patch (*.f64 (neg.f64 a) (/.f64 d c)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 c d) (/.f64 b d) (/.f64 (neg.f64 a) d)) (patch (fma.f64 (/.f64 c d) (/.f64 b d) (/.f64 (neg.f64 a) d)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c d) (/.f64 b d) (/.f64 (neg.f64 a) d))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c d) (/.f64 b d) (/.f64 (neg.f64 a) d))) #<representation binary64>) () ()) |
#s(alt (/.f64 c d) (patch (/.f64 c d) #<representation binary64>) () ()) |
#s(alt (/.f64 b d) (patch (/.f64 b d) #<representation binary64>) () ()) |
#s(alt (*.f64 c b) (patch (*.f64 c b) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* 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 c b) d) a) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* 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 c b) d) a) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) (patch (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) (patch (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) (patch (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) (patch (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 a) (taylor 0 c) (#s(alt (-.f64 (/.f64 (*.f64 c b) d) a) (patch (-.f64 (/.f64 (*.f64 c b) d) a) #<representation binary64>) () ())) ()) |
#s(alt (- (/ (* b c) d) a) (taylor 0 c) (#s(alt (-.f64 (/.f64 (*.f64 c b) d) a) (patch (-.f64 (/.f64 (*.f64 c b) d) a) #<representation binary64>) () ())) ()) |
#s(alt (- (/ (* b c) d) a) (taylor 0 c) (#s(alt (-.f64 (/.f64 (*.f64 c b) d) a) (patch (-.f64 (/.f64 (*.f64 c b) d) a) #<representation binary64>) () ())) ()) |
#s(alt (- (/ (* b c) d) a) (taylor 0 c) (#s(alt (-.f64 (/.f64 (*.f64 c b) d) a) (patch (-.f64 (/.f64 (*.f64 c b) d) a) #<representation binary64>) () ())) ()) |
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#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 d d))) (patch (/.f64 d #s(approx (+ (* c c) (* d d)) (*.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 #s(approx (+ (* c c) (* d d)) (*.f64 d d))) (patch (/.f64 d #s(approx (+ (* c c) (* d d)) (*.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 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) #<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 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) #<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 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) #<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 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) (pow c 2))) (taylor -inf d) (#s(alt (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c) (patch (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) (taylor -inf d) (#s(alt (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c) (patch (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) (taylor -inf d) (#s(alt (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c) (patch (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) (taylor -inf d) (#s(alt (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c) (patch (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) c)) (taylor -inf d) (#s(alt #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) (patch #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) (taylor -inf d) (#s(alt #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) (patch #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) (taylor -inf d) (#s(alt #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) (patch #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) (taylor -inf d) (#s(alt #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) (patch #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) c)) (taylor -inf d) (#s(alt (*.f64 (neg.f64 a) (/.f64 d c)) (patch (*.f64 (neg.f64 a) (/.f64 d c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) c)) (taylor -inf d) (#s(alt (*.f64 (neg.f64 a) (/.f64 d c)) (patch (*.f64 (neg.f64 a) (/.f64 d c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) c)) (taylor -inf d) (#s(alt (*.f64 (neg.f64 a) (/.f64 d c)) (patch (*.f64 (neg.f64 a) (/.f64 d c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) c)) (taylor -inf d) (#s(alt (*.f64 (neg.f64 a) (/.f64 d c)) (patch (*.f64 (neg.f64 a) (/.f64 d c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor -inf d) (#s(alt (fma.f64 (/.f64 c d) (/.f64 b d) (/.f64 (neg.f64 a) d)) (patch (fma.f64 (/.f64 c d) (/.f64 b d) (/.f64 (neg.f64 a) d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) (taylor -inf d) (#s(alt (fma.f64 (/.f64 c d) (/.f64 b d) (/.f64 (neg.f64 a) d)) (patch (fma.f64 (/.f64 c d) (/.f64 b d) (/.f64 (neg.f64 a) d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) (taylor -inf d) (#s(alt (fma.f64 (/.f64 c d) (/.f64 b d) (/.f64 (neg.f64 a) d)) (patch (fma.f64 (/.f64 c d) (/.f64 b d) (/.f64 (neg.f64 a) d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) (taylor -inf d) (#s(alt (fma.f64 (/.f64 c d) (/.f64 b d) (/.f64 (neg.f64 a) d)) (patch (fma.f64 (/.f64 c d) (/.f64 b d) (/.f64 (neg.f64 a) d)) #<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 c d) (/.f64 b d) (/.f64 (neg.f64 a) d))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c d) (/.f64 b d) (/.f64 (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))) (fma.f64 (/.f64 c d) (/.f64 b d) (/.f64 (neg.f64 a) d))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c d) (/.f64 b d) (/.f64 (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))) (fma.f64 (/.f64 c d) (/.f64 b d) (/.f64 (neg.f64 a) d))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c d) (/.f64 b d) (/.f64 (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))) (fma.f64 (/.f64 c d) (/.f64 b d) (/.f64 (neg.f64 a) d))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c d) (/.f64 b d) (/.f64 (neg.f64 a) 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 d) (taylor -inf d) (#s(alt (/.f64 c d) (patch (/.f64 c d) #<representation binary64>) () ())) ()) |
#s(alt (/ b d) (taylor -inf d) (#s(alt (/.f64 b d) (patch (/.f64 b d) #<representation binary64>) () ())) ()) |
#s(alt (/ b d) (taylor -inf d) (#s(alt (/.f64 b d) (patch (/.f64 b d) #<representation binary64>) () ())) ()) |
#s(alt (/ b d) (taylor -inf d) (#s(alt (/.f64 b d) (patch (/.f64 b d) #<representation binary64>) () ())) ()) |
#s(alt (/ b d) (taylor -inf d) (#s(alt (/.f64 b d) (patch (/.f64 b d) #<representation binary64>) () ())) ()) |
#s(alt (pow d 2) (taylor -inf d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 29.0ms | c | @ | 0 | ((/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- (/ (* c b) d) a) d) (- (/ (* c b) d) a) (/ (* c b) d) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (neg a) d) (neg a) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (neg a) (/ d (+ (* c c) (* d d)))) (/ d (+ (* c c) (* d d))) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- b (/ (* a d) c)) c) (- b (/ (* a d) c)) (* (neg a) (/ d c)) (+ (* (/ c d) (/ b d)) (/ (neg a) d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ c d) (/ b d) (* c b) (+ (* c c) (* d d))) |
| 4.0ms | a | @ | 0 | ((/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- (/ (* c b) d) a) d) (- (/ (* c b) d) a) (/ (* c b) d) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (neg a) d) (neg a) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (neg a) (/ d (+ (* c c) (* d d)))) (/ d (+ (* c c) (* d d))) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- b (/ (* a d) c)) c) (- b (/ (* a d) c)) (* (neg a) (/ d c)) (+ (* (/ c d) (/ b d)) (/ (neg a) d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ c d) (/ b d) (* c b) (+ (* c c) (* d d))) |
| 3.0ms | c | @ | -inf | ((/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- (/ (* c b) d) a) d) (- (/ (* c b) d) a) (/ (* c b) d) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (neg a) d) (neg a) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (neg a) (/ d (+ (* c c) (* d d)))) (/ d (+ (* c c) (* d d))) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- b (/ (* a d) c)) c) (- b (/ (* a d) c)) (* (neg a) (/ d c)) (+ (* (/ c d) (/ b d)) (/ (neg a) d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ c d) (/ b d) (* c b) (+ (* c c) (* d d))) |
| 3.0ms | a | @ | inf | ((/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- (/ (* c b) d) a) d) (- (/ (* c b) d) a) (/ (* c b) d) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (neg a) d) (neg a) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (neg a) (/ d (+ (* c c) (* d d)))) (/ d (+ (* c c) (* d d))) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- b (/ (* a d) c)) c) (- b (/ (* a d) c)) (* (neg a) (/ d c)) (+ (* (/ c d) (/ b d)) (/ (neg a) d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ c d) (/ b d) (* c b) (+ (* c c) (* d d))) |
| 3.0ms | b | @ | -inf | ((/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- (/ (* c b) d) a) d) (- (/ (* c b) d) a) (/ (* c b) d) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (neg a) d) (neg a) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (neg a) (/ d (+ (* c c) (* d d)))) (/ d (+ (* c c) (* d d))) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- b (/ (* a d) c)) c) (- b (/ (* a d) c)) (* (neg a) (/ d c)) (+ (* (/ c d) (/ b d)) (/ (neg a) d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ c d) (/ b d) (* c b) (+ (* c c) (* d d))) |
| 1× | egg-herbie |
| 12 590× | lower-fma.f64 |
| 12 590× | lower-fma.f32 |
| 5 084× | lower-*.f64 |
| 5 084× | lower-*.f32 |
| 3 276× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 431 | 8937 |
| 1 | 1363 | 8522 |
| 2 | 4291 | 8298 |
| 0 | 8307 | 7946 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(* -1 a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(/ (* 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 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* a (pow c 2)) (pow d 3))) |
(+ (* -1 (/ a d)) (* (pow c 2) (+ (* -1 (/ (* a (pow c 2)) (pow d 5))) (/ a (pow d 3))))) |
(+ (* -1 (/ a d)) (* (pow c 2) (+ (* (pow c 2) (+ (* -1 (/ a (pow d 5))) (/ (* a (pow c 2)) (pow d 7)))) (/ a (pow d 3))))) |
(/ 1 d) |
(+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d)) |
(+ (* (pow c 2) (- (/ (pow c 2) (pow d 5)) (/ 1 (pow d 3)))) (/ 1 d)) |
(+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 7))) (/ 1 (pow d 5)))) (/ 1 (pow d 3)))) (/ 1 d)) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(* -1 (/ (* a d) (pow c 2))) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(* -1 (/ (* a d) c)) |
(/ (- (* b c) (* a d)) c) |
(/ (- (* b c) (* a d)) c) |
(/ (- (* b c) (* a d)) c) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(* 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)) |
(/ 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) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(* -1 (/ (* a d) (pow c 2))) |
(/ (+ (* -1 (* a d)) (/ (* a (pow d 3)) (pow c 2))) (pow c 2)) |
(/ (+ (* -1 (* a d)) (+ (* -1 (/ (* a (pow d 5)) (pow c 4))) (/ (* a (pow d 3)) (pow c 2)))) (pow c 2)) |
(/ (+ (* -1 (* a d)) (+ (* -1 (/ (* a (pow d 5)) (pow c 4))) (+ (/ (* a (pow d 3)) (pow c 2)) (/ (* a (pow d 7)) (pow c 6))))) (pow c 2)) |
(/ d (pow c 2)) |
(/ (+ d (* -1 (/ (pow d 3) (pow c 2)))) (pow c 2)) |
(/ (- (+ d (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2))) (pow c 2)) |
(/ (- (+ d (* -1 (/ (pow d 7) (pow c 6)))) (+ (* -1 (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2)))) (pow c 2)) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
b |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) 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) |
(/ (+ 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 d) |
(/ c d) |
(/ c d) |
(/ c 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) |
(* -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)) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) |
(* -1 (/ (* a d) (pow c 2))) |
(/ (+ (* -1 (* a d)) (/ (* a (pow d 3)) (pow c 2))) (pow c 2)) |
(/ (+ (* -1 (* a d)) (+ (* -1 (/ (* a (pow d 5)) (pow c 4))) (/ (* a (pow d 3)) (pow c 2)))) (pow c 2)) |
(/ (+ (* -1 (* a d)) (+ (* -1 (/ (* a (pow d 5)) (pow c 4))) (+ (/ (* a (pow d 3)) (pow c 2)) (/ (* a (pow d 7)) (pow c 6))))) (pow c 2)) |
(/ d (pow c 2)) |
(/ (+ d (* -1 (/ (pow d 3) (pow c 2)))) (pow c 2)) |
(/ (- (+ d (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2))) (pow c 2)) |
(/ (- (+ d (* -1 (/ (pow d 7) (pow c 6)))) (+ (* -1 (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2)))) (pow c 2)) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
b |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) 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) |
(* -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 d) |
(/ c d) |
(/ c d) |
(/ c 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)))) |
(* -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 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (pow c 2))) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(* -1 (/ (* a d) c)) |
(- b (/ (* a d) c)) |
(- b (/ (* a d) c)) |
(- b (/ (* a d) c)) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b 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) (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))))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(/ b c) |
(* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c))) |
(* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c))) |
(* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c))) |
b |
(* b (+ 1 (* -1 (/ (* a d) (* b c))))) |
(* b (+ 1 (* -1 (/ (* a d) (* b c))))) |
(* b (+ 1 (* -1 (/ (* a d) (* b c))))) |
(/ (* b c) (pow d 2)) |
(* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2)))) |
(* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2)))) |
(* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2)))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(* 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))))))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(/ b c) |
(* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c)))) |
(* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c)))) |
(* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c)))) |
b |
(* -1 (* b (- (/ (* a d) (* b c)) 1))) |
(* -1 (* b (- (/ (* a d) (* b c)) 1))) |
(* -1 (* b (- (/ (* a d) (* b c)) 1))) |
(/ (* b c) (pow d 2)) |
(* -1 (* b (+ (* -1 (/ c (pow d 2))) (/ a (* b d))))) |
(* -1 (* b (+ (* -1 (/ c (pow d 2))) (/ a (* b d))))) |
(* -1 (* b (+ (* -1 (/ c (pow d 2))) (/ a (* b d))))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(* 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) (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)))) |
(* -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)))) |
(* -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) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
b |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(/ (* b c) (pow d 2)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ a d)) |
(* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d))) |
(* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d))) |
(* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d))) |
(* -1 a) |
(* a (- (/ (* b c) (* a d)) 1)) |
(* a (- (/ (* b c) (* a d)) 1)) |
(* a (- (/ (* b c) (* a d)) 1)) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -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) (pow c 2))) |
(* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c)))) |
(* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c)))) |
(* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c)))) |
(* -1 (/ (* a d) c)) |
(* a (- (/ b a) (/ d c))) |
(* a (- (/ b a) (/ d c))) |
(* a (- (/ b a) (/ d c))) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ a d)) |
(* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d))) |
(* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d))) |
(* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ a d)) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (/ 1 d)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (/ 1 d)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (/ 1 d)))) |
(* -1 a) |
(* -1 (* a (+ 1 (* -1 (/ (* b c) (* a d)))))) |
(* -1 (* a (+ 1 (* -1 (/ (* b c) (* a d)))))) |
(* -1 (* a (+ 1 (* -1 (/ (* b c) (* a d)))))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a 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) (pow c 2))) |
(* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2))))) |
(* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2))))) |
(* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2))))) |
(* -1 (/ (* a d) c)) |
(* -1 (* a (- (* -1 (/ b a)) (* -1 (/ d c))))) |
(* -1 (* a (- (* -1 (/ b a)) (* -1 (/ d c))))) |
(* -1 (* a (- (* -1 (/ b a)) (* -1 (/ d c))))) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ a d)) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (/ 1 d)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (/ 1 d)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (/ 1 d)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(/ 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)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(* -1 (/ (* a d) (pow c 2))) |
(* d (+ (* -1 (/ a (pow c 2))) (/ (* a (pow d 2)) (pow c 4)))) |
(* d (+ (* -1 (/ a (pow c 2))) (* (pow d 2) (+ (* -1 (/ (* a (pow d 2)) (pow c 6))) (/ a (pow c 4)))))) |
(* d (+ (* -1 (/ a (pow c 2))) (* (pow d 2) (+ (* (pow d 2) (+ (* -1 (/ a (pow c 6))) (/ (* a (pow d 2)) (pow c 8)))) (/ a (pow c 4)))))) |
(/ d (pow c 2)) |
(* d (+ (* -1 (/ (pow d 2) (pow c 4))) (/ 1 (pow c 2)))) |
(* d (+ (* (pow d 2) (- (/ (pow d 2) (pow c 6)) (/ 1 (pow c 4)))) (/ 1 (pow c 2)))) |
(* d (+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 8))) (/ 1 (pow c 6)))) (/ 1 (pow c 4)))) (/ 1 (pow c 2)))) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
b |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) 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) |
(+ (* -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 d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(pow c 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* 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 (/ 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 (/ a d)) |
(/ (+ (* -1 a) (/ (* a (pow c 2)) (pow d 2))) d) |
(/ (+ (* -1 a) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2)))) d) |
(/ (+ (* -1 a) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* a (pow c 6)) (pow d 6))))) d) |
(/ 1 d) |
(/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) d) |
(/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) d) |
(/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) d) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(* -1 (/ (* a d) (pow c 2))) |
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(* -1 (/ (* a d) c)) |
(* d (- (/ b d) (/ a c))) |
(* d (- (/ b d) (/ a c))) |
(* d (- (/ b d) (/ a c))) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b 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) |
(/ (* 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 (/ 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 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* a (pow c 2)) (pow d 2)))) d)) |
(* -1 (/ (- (+ a (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2))) d)) |
(* -1 (/ (- (+ a (* -1 (/ (* a (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2)))) d)) |
(/ 1 d) |
(* -1 (/ (- (/ (pow c 2) (pow d 2)) 1) d)) |
(* -1 (/ (- (* -1 (/ (pow c 4) (pow d 4))) (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) d)) |
(* -1 (/ (- (/ (pow c 6) (pow d 6)) (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (pow c 4) (pow d 4))))) d)) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(* -1 (/ (* a d) c)) |
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) |
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) |
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b 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)))) |
| Outputs |
|---|
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(fma.f64 (*.f64 (/.f64 a (pow.f64 d #s(literal 3 binary64))) c) c (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(fma.f64 (*.f64 c c) (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) (neg.f64 b) (/.f64 a (pow.f64 d #s(literal 3 binary64)))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) |
(* -1 a) |
(neg.f64 a) |
(- (/ (* b c) d) a) |
(fma.f64 (/.f64 b d) c (neg.f64 a)) |
(- (/ (* b c) d) a) |
(fma.f64 (/.f64 b d) c (neg.f64 a)) |
(- (/ (* b c) d) a) |
(fma.f64 (/.f64 b d) c (neg.f64 a)) |
(/ (* b c) d) |
(/.f64 (*.f64 c b) d) |
(/ (* b c) d) |
(/.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 d)) (/ (* b c) (pow d 2))) |
(/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(fma.f64 (*.f64 (/.f64 a (pow.f64 d #s(literal 3 binary64))) c) c (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(fma.f64 (*.f64 c c) (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) (neg.f64 b) (/.f64 a (pow.f64 d #s(literal 3 binary64)))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(fma.f64 (*.f64 (/.f64 a (pow.f64 d #s(literal 3 binary64))) c) c (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(fma.f64 (*.f64 c c) (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) (neg.f64 b) (/.f64 a (pow.f64 d #s(literal 3 binary64)))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(+ (* -1 (/ a d)) (/ (* a (pow c 2)) (pow d 3))) |
(*.f64 a (/.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)) d)) |
(+ (* -1 (/ a d)) (* (pow c 2) (+ (* -1 (/ (* a (pow c 2)) (pow d 5))) (/ a (pow d 3))))) |
(fma.f64 (fma.f64 (*.f64 (neg.f64 c) c) (/.f64 a (pow.f64 d #s(literal 5 binary64))) (/.f64 a (pow.f64 d #s(literal 3 binary64)))) (*.f64 c c) (/.f64 (neg.f64 a) d)) |
(+ (* -1 (/ a d)) (* (pow c 2) (+ (* (pow c 2) (+ (* -1 (/ a (pow d 5))) (/ (* a (pow c 2)) (pow d 7)))) (/ a (pow d 3))))) |
(fma.f64 (pow.f64 c #s(literal 4 binary64)) (*.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 a (/.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)) d))) |
(/ 1 d) |
(/.f64 #s(literal 1 binary64) d) |
(+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 c (/.f64 (/.f64 c d) d))) d) |
(+ (* (pow c 2) (- (/ (pow c 2) (pow d 5)) (/ 1 (pow d 3)))) (/ 1 d)) |
(fma.f64 (fma.f64 c (/.f64 c (pow.f64 d #s(literal 5 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 d #s(literal 3 binary64)))) (*.f64 c c) (/.f64 #s(literal 1 binary64) d)) |
(+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 7))) (/ 1 (pow d 5)))) (/ 1 (pow d 3)))) (/ 1 d)) |
(fma.f64 (fma.f64 c (/.f64 c (pow.f64 d #s(literal 5 binary64))) (+.f64 (/.f64 (neg.f64 (pow.f64 c #s(literal 4 binary64))) (pow.f64 d #s(literal 7 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 d #s(literal 3 binary64))))) (*.f64 c c) (/.f64 #s(literal 1 binary64) d)) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(fma.f64 (*.f64 (/.f64 a (pow.f64 d #s(literal 3 binary64))) c) c (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(fma.f64 (*.f64 c c) (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) (neg.f64 b) (/.f64 a (pow.f64 d #s(literal 3 binary64)))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) |
(* -1 (/ (* a d) (pow c 2))) |
(*.f64 (/.f64 (/.f64 (neg.f64 a) c) c) d) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) |
(* -1 (/ (* a d) c)) |
(/.f64 (*.f64 (neg.f64 a) d) c) |
(/ (- (* b c) (* a d)) c) |
(-.f64 b (/.f64 (*.f64 d a) c)) |
(/ (- (* b c) (* a d)) c) |
(-.f64 b (/.f64 (*.f64 d a) c)) |
(/ (- (* b c) (* a d)) c) |
(-.f64 b (/.f64 (*.f64 d a) c)) |
(* -1 (/ (* a d) c)) |
(/.f64 (*.f64 (neg.f64 a) d) c) |
(* -1 (/ (* a d) c)) |
(/.f64 (*.f64 (neg.f64 a) d) c) |
(* -1 (/ (* a d) c)) |
(/.f64 (*.f64 (neg.f64 a) d) c) |
(* -1 (/ (* a d) c)) |
(/.f64 (*.f64 (neg.f64 a) d) c) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) |
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(/.f64 (neg.f64 a) d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/.f64 (fma.f64 a (fma.f64 (/.f64 c d) (/.f64 c 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 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) (*.f64 a (fma.f64 (/.f64 c d) (/.f64 c 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 a (/.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)) d)) |
(/ (+ (* -1 a) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2)))) d) |
(/.f64 (*.f64 a (-.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))))) 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 (/.f64 c d) (/.f64 c d) (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (neg.f64 a)) d) |
(/ 1 d) |
(/.f64 #s(literal 1 binary64) d) |
(/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) d) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 c (/.f64 (/.f64 c d) d))) d) |
(/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) d) |
(/.f64 (-.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (fma.f64 (/.f64 c d) (/.f64 c 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 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64))) (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/.f64 (fma.f64 a (fma.f64 (/.f64 c d) (/.f64 c 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 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) (*.f64 a (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)))) d) |
(* -1 (/ (* a d) (pow c 2))) |
(*.f64 (/.f64 (/.f64 (neg.f64 a) c) c) d) |
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(*.f64 (-.f64 (/.f64 (/.f64 b d) c) (/.f64 (/.f64 a c) c)) d) |
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(*.f64 (-.f64 (/.f64 (/.f64 b d) c) (/.f64 (/.f64 a c) c)) d) |
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(*.f64 (-.f64 (/.f64 (/.f64 b d) c) (/.f64 (/.f64 a c) c)) d) |
(* -1 (/ (* a d) c)) |
(/.f64 (*.f64 (neg.f64 a) d) c) |
(* d (- (/ b d) (/ a c))) |
(*.f64 (-.f64 (/.f64 b d) (/.f64 a c)) d) |
(* d (- (/ b d) (/ a c))) |
(*.f64 (-.f64 (/.f64 b d) (/.f64 a c)) d) |
(* d (- (/ b d) (/ a c))) |
(*.f64 (-.f64 (/.f64 b d) (/.f64 a c)) d) |
(* -1 (/ (* a d) c)) |
(/.f64 (*.f64 (neg.f64 a) d) c) |
(* -1 (/ (* a d) c)) |
(/.f64 (*.f64 (neg.f64 a) d) c) |
(* -1 (/ (* a d) c)) |
(/.f64 (*.f64 (neg.f64 a) d) c) |
(* -1 (/ (* a d) c)) |
(/.f64 (*.f64 (neg.f64 a) d) c) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/.f64 (fma.f64 a (fma.f64 (/.f64 c d) (/.f64 c 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 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) (*.f64 a (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)))) d) |
(/ c d) |
(/.f64 c d) |
(/ c d) |
(/.f64 c d) |
(/ c d) |
(/.f64 c d) |
(/ c d) |
(/.f64 c d) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(pow d 2) |
(*.f64 d d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) d) d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) d) d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) d) d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 c b (/.f64 (*.f64 (*.f64 c c) a) d)) d)) (neg.f64 d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 c b (/.f64 (fma.f64 (*.f64 c c) a (/.f64 (*.f64 (neg.f64 b) (pow.f64 c #s(literal 3 binary64))) d)) d)) d)) (neg.f64 d)) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) |
(* -1 a) |
(neg.f64 a) |
(- (/ (* b c) d) a) |
(fma.f64 (/.f64 b d) c (neg.f64 a)) |
(- (/ (* b c) d) a) |
(fma.f64 (/.f64 b d) c (neg.f64 a)) |
(- (/ (* b c) d) a) |
(fma.f64 (/.f64 b d) c (neg.f64 a)) |
(/ (* b c) d) |
(/.f64 (*.f64 c b) d) |
(/ (* b c) d) |
(/.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 b d) c (neg.f64 a)) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 c b (/.f64 (*.f64 (*.f64 c c) a) d)) d)) (neg.f64 d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 c b (/.f64 (fma.f64 (*.f64 c c) a (/.f64 (*.f64 (neg.f64 b) (pow.f64 c #s(literal 3 binary64))) d)) d)) d)) (neg.f64 d)) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 c b (/.f64 (*.f64 (*.f64 c c) a) d)) d)) (neg.f64 d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 c b (/.f64 (fma.f64 (*.f64 c c) a (/.f64 (*.f64 (neg.f64 b) (pow.f64 c #s(literal 3 binary64))) d)) d)) d)) (neg.f64 d)) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* a (pow c 2)) (pow d 2)))) d)) |
(*.f64 a (/.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)) d)) |
(* -1 (/ (- (+ a (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2))) d)) |
(/.f64 (*.f64 a (-.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))))) 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 #s(literal -1 binary64) (*.f64 a (-.f64 (fma.f64 (/.f64 c d) (/.f64 c d) (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))))) a) (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 c (/.f64 (/.f64 c d) d))) d) |
(* -1 (/ (- (* -1 (/ (pow c 4) (pow d 4))) (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) d)) |
(/.f64 (-.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64))) d) |
(* -1 (/ (- (/ (pow c 6) (pow d 6)) (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (pow c 4) (pow d 4))))) d)) |
(/.f64 (-.f64 (-.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64))) (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 c b (/.f64 (*.f64 (*.f64 c c) a) d)) d)) (neg.f64 d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 c b (/.f64 (fma.f64 (*.f64 c c) a (/.f64 (*.f64 (neg.f64 b) (pow.f64 c #s(literal 3 binary64))) d)) d)) d)) (neg.f64 d)) |
(* -1 (/ (* a d) (pow c 2))) |
(*.f64 (/.f64 (/.f64 (neg.f64 a) c) c) d) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(*.f64 (-.f64 (/.f64 (/.f64 b d) c) (/.f64 (/.f64 a c) c)) d) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(*.f64 (-.f64 (/.f64 (/.f64 b d) c) (/.f64 (/.f64 a c) c)) d) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(*.f64 (-.f64 (/.f64 (/.f64 b d) c) (/.f64 (/.f64 a c) c)) d) |
(* -1 (/ (* a d) c)) |
(/.f64 (*.f64 (neg.f64 a) d) c) |
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) |
(*.f64 (-.f64 (/.f64 b d) (/.f64 a c)) d) |
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) |
(*.f64 (-.f64 (/.f64 b d) (/.f64 a c)) d) |
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) |
(*.f64 (-.f64 (/.f64 b d) (/.f64 a c)) d) |
(* -1 (/ (* a d) c)) |
(/.f64 (*.f64 (neg.f64 a) d) c) |
(* -1 (/ (* a d) c)) |
(/.f64 (*.f64 (neg.f64 a) d) c) |
(* -1 (/ (* a d) c)) |
(/.f64 (*.f64 (neg.f64 a) d) c) |
(* -1 (/ (* a d) c)) |
(/.f64 (*.f64 (neg.f64 a) d) c) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 c b (/.f64 (*.f64 (*.f64 c c) a) d)) d)) (neg.f64 d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 c b (/.f64 (fma.f64 (*.f64 c c) a (/.f64 (*.f64 (neg.f64 b) (pow.f64 c #s(literal 3 binary64))) d)) d)) d)) (neg.f64 d)) |
(/ c d) |
(/.f64 c d) |
(/ c d) |
(/.f64 c d) |
(/ c d) |
(/.f64 c d) |
(/ c d) |
(/.f64 c d) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(pow d 2) |
(*.f64 d d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) d) d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) d) d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) d) d) |
| 5 862× | lower-fma.f32 |
| 5 860× | lower-fma.f64 |
| 5 384× | lower-/.f32 |
| 5 368× | lower-/.f64 |
| 4 138× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 259 |
| 0 | 51 | 255 |
| 1 | 211 | 255 |
| 2 | 1755 | 255 |
| 0 | 8223 | 246 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) |
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) |
(-.f64 (/.f64 (*.f64 c b) d) a) |
(/.f64 (*.f64 c b) d) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
(/.f64 (neg.f64 a) d) |
(neg.f64 a) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 d d))))) |
(*.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) |
(/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) |
(/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c) |
#s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) |
(*.f64 (neg.f64 a) (/.f64 d c)) |
(fma.f64 (/.f64 c d) (/.f64 b d) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c d) (/.f64 b d) (/.f64 (neg.f64 a) d))) |
(/.f64 c d) |
(/.f64 b d) |
(*.f64 c b) |
#s(approx (+ (* c c) (* d d)) (*.f64 d d)) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) |
(*.f64 (/.f64 (fma.f64 (/.f64 b d) c a) d) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) (fma.f64 (/.f64 b d) c a))) |
(*.f64 (/.f64 (fma.f64 a (fma.f64 (/.f64 b d) c a) (pow.f64 (/.f64 (*.f64 c b) d) #s(literal 2 binary64))) d) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) (fma.f64 a (fma.f64 (/.f64 b d) c a) (pow.f64 (/.f64 (*.f64 c b) d) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (/.f64 d (-.f64 (pow.f64 (/.f64 (*.f64 c b) d) #s(literal 2 binary64)) (*.f64 a a))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 b d) c a) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 d (-.f64 (pow.f64 (/.f64 (*.f64 c b) d) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 a (fma.f64 (/.f64 b d) c a) (pow.f64 (/.f64 (*.f64 c b) d) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 c b) d) #s(literal 2 binary64)) (*.f64 a a)) (pow.f64 d #s(literal -1 binary64))) (pow.f64 (fma.f64 (/.f64 b d) c a) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 c b) d) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (pow.f64 d #s(literal -1 binary64))) (pow.f64 (fma.f64 a (fma.f64 (/.f64 b d) c a) (pow.f64 (/.f64 (*.f64 c b) d) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (/.f64 (*.f64 c b) d) a) #s(literal 1 binary64)) (pow.f64 d #s(literal -1 binary64))) |
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(-.f64 (/.f64 (*.f64 (/.f64 (*.f64 c b) d) d) (*.f64 d d)) (/.f64 (*.f64 d a) (*.f64 d d))) |
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 c b) d) #s(literal 2 binary64)) (*.f64 a a)) (fma.f64 (/.f64 b d) c a)) |
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(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 (/.f64 (*.f64 c b) d) a) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (/.f64 (*.f64 c b) d) a) #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 c b) d) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 c b) d) #s(literal 2 binary64)) (-.f64 (*.f64 a a) (*.f64 (/.f64 (*.f64 c b) d) (neg.f64 a))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 c b) d) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a (fma.f64 (/.f64 b d) c a) (pow.f64 (/.f64 (*.f64 c b) d) #s(literal 2 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 c) #s(literal -1 binary64))) (/.f64 b (neg.f64 d)) (neg.f64 a)) |
(fma.f64 (/.f64 (neg.f64 b) #s(literal -1 binary64)) (/.f64 c d) (neg.f64 a)) |
(fma.f64 (/.f64 c #s(literal -1 binary64)) (/.f64 (neg.f64 b) d) (neg.f64 a)) |
(fma.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 (neg.f64 c) d) (neg.f64 a)) |
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) a)) (/.f64 (*.f64 c b) d)) |
(fma.f64 (pow.f64 (neg.f64 d) #s(literal -1 binary64)) (/.f64 b (pow.f64 (neg.f64 c) #s(literal -1 binary64))) (neg.f64 a)) |
(fma.f64 (*.f64 c #s(literal 1 binary64)) (/.f64 b d) (neg.f64 a)) |
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a)))) (/.f64 (*.f64 c b) d)) |
(fma.f64 (neg.f64 (*.f64 (neg.f64 c) b)) (pow.f64 d #s(literal -1 binary64)) (neg.f64 a)) |
(fma.f64 (*.f64 #s(literal 1 binary64) b) (/.f64 c d) (neg.f64 a)) |
(fma.f64 (*.f64 (*.f64 c b) #s(literal 1 binary64)) (pow.f64 d #s(literal -1 binary64)) (neg.f64 a)) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (/.f64 d b) c))) (neg.f64 a)) |
(fma.f64 #s(literal -1 binary64) a (/.f64 (*.f64 c b) d)) |
(fma.f64 (pow.f64 d #s(literal -1 binary64)) (/.f64 b (pow.f64 c #s(literal -1 binary64))) (neg.f64 a)) |
(fma.f64 (pow.f64 d #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 c b) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 a)) |
(fma.f64 (pow.f64 d #s(literal -1 binary64)) (*.f64 c b) (neg.f64 a)) |
(fma.f64 #s(literal 1 binary64) (/.f64 b (/.f64 d c)) (neg.f64 a)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 c b) d) (neg.f64 a)) |
(fma.f64 (*.f64 (neg.f64 c) b) (pow.f64 (neg.f64 d) #s(literal -1 binary64)) (neg.f64 a)) |
(fma.f64 (/.f64 b d) c (neg.f64 a)) |
(fma.f64 (/.f64 c d) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal -1 binary64))) (neg.f64 a)) |
(fma.f64 (/.f64 c d) b (neg.f64 a)) |
(fma.f64 a #s(literal -1 binary64) (/.f64 (*.f64 c b) d)) |
(fma.f64 (*.f64 c b) (pow.f64 d #s(literal -1 binary64)) (neg.f64 a)) |
(fma.f64 c (/.f64 b d) (neg.f64 a)) |
(fma.f64 b (/.f64 c d) (neg.f64 a)) |
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 c b) d) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 c b) d) (neg.f64 a))) (/.f64 (*.f64 a a) (-.f64 (/.f64 (*.f64 c b) d) (neg.f64 a)))) |
(-.f64 (fma.f64 (/.f64 b d) c #s(literal 0 binary64)) a) |
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 c b) d) #s(literal 2 binary64)) (fma.f64 (/.f64 b d) c a)) (/.f64 (*.f64 a a) (fma.f64 (/.f64 b d) c a))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 c b) d) #s(literal 3 binary64)) (fma.f64 a (fma.f64 (/.f64 b d) c a) (pow.f64 (/.f64 (*.f64 c b) d) #s(literal 2 binary64)))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a (fma.f64 (/.f64 b d) c a) (pow.f64 (/.f64 (*.f64 c b) d) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (*.f64 c b) d) a) |
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(+.f64 (/.f64 (*.f64 c b) d) (neg.f64 a)) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 c) #s(literal -1 binary64))) (/.f64 b (neg.f64 d))) |
(*.f64 (/.f64 (neg.f64 b) #s(literal -1 binary64)) (/.f64 c d)) |
(*.f64 (/.f64 c #s(literal -1 binary64)) (/.f64 (neg.f64 b) d)) |
(*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 (neg.f64 c) d)) |
(*.f64 (pow.f64 (neg.f64 d) #s(literal -1 binary64)) (/.f64 b (pow.f64 (neg.f64 c) #s(literal -1 binary64)))) |
(*.f64 (*.f64 c #s(literal 1 binary64)) (/.f64 b d)) |
(*.f64 (neg.f64 (*.f64 (neg.f64 c) b)) (pow.f64 d #s(literal -1 binary64))) |
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(*.f64 (*.f64 (*.f64 c b) #s(literal 1 binary64)) (pow.f64 d #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (/.f64 d b) c)))) |
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(*.f64 (pow.f64 d #s(literal -1 binary64)) (*.f64 c b)) |
(*.f64 #s(literal 1 binary64) (/.f64 b (/.f64 d c))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 c b) d)) |
(*.f64 (*.f64 (neg.f64 c) b) (pow.f64 (neg.f64 d) #s(literal -1 binary64))) |
(*.f64 (/.f64 b d) c) |
(*.f64 (/.f64 c d) (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal -1 binary64)))) |
(*.f64 (/.f64 c d) b) |
(*.f64 (*.f64 c b) (pow.f64 d #s(literal -1 binary64))) |
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(pow.f64 (/.f64 (/.f64 d b) c) #s(literal -1 binary64)) |
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(/.f64 (neg.f64 (*.f64 (neg.f64 c) b)) (neg.f64 (neg.f64 d))) |
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(/.f64 (*.f64 (*.f64 c b) #s(literal 1 binary64)) d) |
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(/.f64 (*.f64 (neg.f64 c) b) (neg.f64 d)) |
(/.f64 (neg.f64 c) (neg.f64 (/.f64 d b))) |
(/.f64 (*.f64 c b) d) |
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(neg.f64 (/.f64 (*.f64 (neg.f64 c) b) d)) |
(neg.f64 (/.f64 (*.f64 c b) (neg.f64 d))) |
(-.f64 (/.f64 #s(literal 0 binary64) d) (/.f64 (*.f64 c b) (neg.f64 d))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 d b) c)) #s(literal -1 binary64))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
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(pow.f64 (/.f64 (neg.f64 d) a) #s(literal -1 binary64)) |
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(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 a d) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 a d) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 a d))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 a) #s(literal 1 binary64))) (neg.f64 d)) |
(/.f64 (*.f64 (neg.f64 a) #s(literal 1 binary64)) d) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (neg.f64 d) a))) |
(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 (neg.f64 a) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (neg.f64 d) a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) a)) |
(/.f64 (neg.f64 a) (neg.f64 (neg.f64 d))) |
(/.f64 (neg.f64 a) d) |
(/.f64 a (neg.f64 (neg.f64 (neg.f64 d)))) |
(/.f64 a (neg.f64 d)) |
(neg.f64 (/.f64 a d)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 d))) (/.f64 a d)) |
(-.f64 (/.f64 #s(literal 0 binary64) d) (/.f64 a d)) |
(-.f64 #s(literal 0 binary64) (/.f64 a d)) |
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(fma.f64 (/.f64 b d) (/.f64 c d) (/.f64 (neg.f64 a) d)) |
(fma.f64 (/.f64 c d) (/.f64 (pow.f64 d #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64))) (/.f64 (neg.f64 a) d)) |
(fma.f64 (/.f64 c d) (/.f64 b d) (/.f64 (neg.f64 a) d)) |
(fma.f64 (neg.f64 a) (pow.f64 d #s(literal -1 binary64)) (/.f64 (/.f64 (*.f64 c b) d) d)) |
(fma.f64 (/.f64 (*.f64 c b) d) (pow.f64 d #s(literal -1 binary64)) (/.f64 (neg.f64 a) d)) |
(fma.f64 a (pow.f64 (neg.f64 d) #s(literal -1 binary64)) (/.f64 (/.f64 (*.f64 c b) d) d)) |
(fma.f64 (*.f64 c b) (pow.f64 d #s(literal -2 binary64)) (/.f64 (neg.f64 a) d)) |
(fma.f64 c (/.f64 (/.f64 b d) d) (/.f64 (neg.f64 a) d)) |
(fma.f64 c (/.f64 b (*.f64 d d)) (/.f64 (neg.f64 a) d)) |
(fma.f64 c (pow.f64 (*.f64 d (/.f64 d b)) #s(literal -1 binary64)) (/.f64 (neg.f64 a) d)) |
(fma.f64 b (/.f64 c (*.f64 d d)) (/.f64 (neg.f64 a) d)) |
(fma.f64 b (pow.f64 (*.f64 d (/.f64 d c)) #s(literal -1 binary64)) (/.f64 (neg.f64 a) d)) |
(-.f64 (/.f64 (pow.f64 (/.f64 a d) #s(literal 2 binary64)) (/.f64 (-.f64 (neg.f64 a) (/.f64 (*.f64 c b) d)) d)) (/.f64 (pow.f64 (/.f64 (/.f64 (*.f64 c b) d) d) #s(literal 2 binary64)) (/.f64 (-.f64 (neg.f64 a) (/.f64 (*.f64 c b) d)) d))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (/.f64 (*.f64 c b) d) d) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 (*.f64 c b) d) d) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 a d) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 (*.f64 c b) d) d) (/.f64 a d))))) (/.f64 (pow.f64 (/.f64 a d) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 (*.f64 c b) d) d) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 a d) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 (*.f64 c b) d) d) (/.f64 a d)))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 c b) d) #s(literal 2 binary64)) (*.f64 d (fma.f64 (/.f64 b d) c a))) (/.f64 (*.f64 a a) (*.f64 d (fma.f64 (/.f64 b d) c a)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 c b) d) #s(literal 3 binary64)) (*.f64 d (fma.f64 a (fma.f64 (/.f64 b d) c a) (pow.f64 (/.f64 (*.f64 c b) d) #s(literal 2 binary64))))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (*.f64 d (fma.f64 a (fma.f64 (/.f64 b d) c a) (pow.f64 (/.f64 (*.f64 c b) d) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (fma.f64 (/.f64 b d) c #s(literal 0 binary64)) d) (/.f64 a d)) |
(-.f64 (/.f64 (/.f64 (pow.f64 (/.f64 (*.f64 c b) d) #s(literal 2 binary64)) (fma.f64 (/.f64 b d) c a)) d) (/.f64 (/.f64 (*.f64 a a) (fma.f64 (/.f64 b d) c a)) d)) |
(-.f64 (/.f64 (/.f64 (pow.f64 (/.f64 (*.f64 c b) d) #s(literal 3 binary64)) (fma.f64 a (fma.f64 (/.f64 b d) c a) (pow.f64 (/.f64 (*.f64 c b) d) #s(literal 2 binary64)))) d) (/.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a (fma.f64 (/.f64 b d) c a) (pow.f64 (/.f64 (*.f64 c b) d) #s(literal 2 binary64)))) d)) |
(-.f64 (/.f64 (*.f64 (/.f64 (*.f64 c b) d) d) (*.f64 d d)) (/.f64 (*.f64 d a) (*.f64 d d))) |
(-.f64 (/.f64 (*.f64 (*.f64 c b) d) (pow.f64 d #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 d d) a) (pow.f64 d #s(literal 3 binary64)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (/.f64 (*.f64 c b) d) d) #s(literal 2 binary64)) (fma.f64 (/.f64 b d) (/.f64 c d) (/.f64 a d))) (/.f64 (pow.f64 (/.f64 a d) #s(literal 2 binary64)) (fma.f64 (/.f64 b d) (/.f64 c d) (/.f64 a d)))) |
(-.f64 (/.f64 #s(literal 0 binary64) d) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) (neg.f64 d))) |
(-.f64 (/.f64 (/.f64 (*.f64 c b) d) d) (/.f64 a d)) |
(exp.f64 (*.f64 (log.f64 (/.f64 d (-.f64 (/.f64 (*.f64 c b) d) a))) #s(literal -1 binary64))) |
(+.f64 (/.f64 (/.f64 (*.f64 c b) d) d) (/.f64 (neg.f64 a) d)) |
(+.f64 (/.f64 (neg.f64 a) d) (/.f64 (/.f64 (*.f64 c b) d) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 c) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 d) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 c #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 d #s(literal -1 binary64))) |
(*.f64 (pow.f64 (neg.f64 d) #s(literal -1 binary64)) (pow.f64 (pow.f64 (neg.f64 c) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (neg.f64 d) #s(literal -1 binary64)) (neg.f64 c)) |
(*.f64 (*.f64 c #s(literal 1 binary64)) (pow.f64 d #s(literal -1 binary64))) |
(*.f64 (neg.f64 (neg.f64 c)) (pow.f64 d #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 d c)))) |
(*.f64 (pow.f64 d #s(literal -1 binary64)) (pow.f64 (pow.f64 c #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 d #s(literal -1 binary64)) (*.f64 c #s(literal 1 binary64))) |
(*.f64 (pow.f64 d #s(literal -1 binary64)) c) |
(*.f64 #s(literal 1 binary64) (/.f64 c d)) |
(*.f64 (neg.f64 c) (pow.f64 (neg.f64 d) #s(literal -1 binary64))) |
(*.f64 (/.f64 c d) #s(literal 1 binary64)) |
(*.f64 c (pow.f64 d #s(literal -1 binary64))) |
(pow.f64 (/.f64 c d) #s(literal 1 binary64)) |
(pow.f64 (/.f64 d c) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 c))) (neg.f64 (neg.f64 (neg.f64 d)))) |
(/.f64 (neg.f64 (*.f64 c #s(literal 1 binary64))) (neg.f64 d)) |
(/.f64 (neg.f64 (pow.f64 d #s(literal -1 binary64))) (neg.f64 (pow.f64 c #s(literal -1 binary64)))) |
(/.f64 (*.f64 c #s(literal 1 binary64)) d) |
(/.f64 (neg.f64 (/.f64 c d)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 c)) (neg.f64 (neg.f64 d))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 d c))) |
(/.f64 (pow.f64 d #s(literal -1 binary64)) (pow.f64 c #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 c #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 d c)))) |
(/.f64 #s(literal 1 binary64) (/.f64 d c)) |
(/.f64 (neg.f64 c) (neg.f64 d)) |
(/.f64 (/.f64 c d) #s(literal 1 binary64)) |
(/.f64 c d) |
(neg.f64 (/.f64 (neg.f64 c) d)) |
(neg.f64 (/.f64 c (neg.f64 d))) |
(-.f64 (/.f64 #s(literal 0 binary64) d) (/.f64 c (neg.f64 d))) |
(exp.f64 (*.f64 (log.f64 (/.f64 d c)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (neg.f64 b)) (pow.f64 d #s(literal -1 binary64))) |
(*.f64 (*.f64 b #s(literal 1 binary64)) (pow.f64 d #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 d b)))) |
(*.f64 (pow.f64 d #s(literal -1 binary64)) (pow.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 d #s(literal -1 binary64)) b) |
(*.f64 #s(literal 1 binary64) (/.f64 b d)) |
(*.f64 (neg.f64 b) (pow.f64 (neg.f64 d) #s(literal -1 binary64))) |
(*.f64 b (pow.f64 d #s(literal -1 binary64))) |
(pow.f64 (/.f64 d b) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 b))) (neg.f64 (neg.f64 (neg.f64 d)))) |
(/.f64 (neg.f64 (*.f64 b #s(literal 1 binary64))) (neg.f64 d)) |
(/.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 d))) |
(/.f64 (*.f64 b #s(literal 1 binary64)) d) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 d b))) |
(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 b #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 d b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 d b)) |
(/.f64 (neg.f64 b) (neg.f64 d)) |
(/.f64 b d) |
(neg.f64 (/.f64 (neg.f64 b) d)) |
(neg.f64 (/.f64 b (neg.f64 d))) |
(-.f64 (/.f64 #s(literal 0 binary64) d) (/.f64 b (neg.f64 d))) |
(exp.f64 (*.f64 (log.f64 (/.f64 d b)) #s(literal -1 binary64))) |
(*.f64 c b) |
(*.f64 b c) |
#s(approx (+ (* c c) (* d d)) (*.f64 d d)) |
Compiled 27 663 to 2 745 computations (90.1% saved)
20 alts after pruning (12 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 690 | 4 | 1 694 |
| Fresh | 3 | 8 | 11 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 693 | 20 | 1 713 |
| Status | Accuracy | Program |
|---|---|---|
| 36.3% | (/.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) #s(approx (neg (+ (* d d) (* c c))) (*.f64 (neg.f64 c) c))) | |
| 36.9% | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| 36.3% | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| ✓ | 51.9% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c d) (/.f64 b d) (/.f64 (neg.f64 a) d))) |
| ✓ | 53.4% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) |
| ✓ | 53.9% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
| ✓ | 41.9% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
| 24.1% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- (/ (* c b) d) a) (/.f64 (*.f64 c b) d)) d)) | |
| ✓ | 23.9% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) |
| ✓ | 42.4% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
| ▶ | 41.7% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) a))) |
| ▶ | 41.9% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) |
| ▶ | 38.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) |
| ✓ | 43.3% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
| ✓ | 29.3% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 d d))))) |
| 21.6% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) | |
| ▶ | 41.7% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)))) |
| 23.1% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 (/.f64 c d) d) b))) | |
| 23.6% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (/.f64 (neg.f64 a) c) c) d))) | |
| ▶ | 24.6% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) |
Compiled 307 to 301 computations (2% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (neg.f64 a) c) | |
| cost-diff | 0 | (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)) | |
| cost-diff | 0 | #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c))) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) | |
| cost-diff | 0 | (fma.f64 c c (*.f64 d d)) | |
| cost-diff | 0 | (/.f64 b (fma.f64 c c (*.f64 d d))) | |
| cost-diff | 0 | (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) | |
| cost-diff | 0 | (neg.f64 d) | |
| cost-diff | 0 | (/.f64 (neg.f64 d) a) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) a))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) a)) | |
| cost-diff | 0 | #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)) | |
| cost-diff | 0 | (neg.f64 a) | |
| cost-diff | 0 | (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d))) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)))) | |
| cost-diff | 0 | (/.f64 c b) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 c b)) |
| 2 104× | lower-fma.f32 |
| 2 102× | lower-fma.f64 |
| 1 464× | lower-*.f32 |
| 1 456× | lower-*.f64 |
| 944× | div-sub |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 258 |
| 0 | 54 | 258 |
| 1 | 95 | 256 |
| 2 | 169 | 250 |
| 3 | 315 | 250 |
| 4 | 641 | 250 |
| 5 | 1117 | 250 |
| 6 | 1841 | 250 |
| 7 | 2369 | 250 |
| 8 | 3025 | 250 |
| 9 | 3634 | 250 |
| 10 | 3965 | 250 |
| 11 | 4045 | 250 |
| 12 | 4054 | 250 |
| 13 | 4058 | 250 |
| 14 | 4181 | 250 |
| 15 | 4265 | 250 |
| 16 | 4329 | 250 |
| 17 | 4483 | 250 |
| 18 | 4591 | 250 |
| 19 | 4591 | 250 |
| 20 | 4631 | 250 |
| 21 | 4764 | 250 |
| 22 | 4822 | 250 |
| 23 | 4824 | 250 |
| 24 | 4824 | 250 |
| 25 | 4824 | 250 |
| 0 | 4824 | 250 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) |
(/.f64 #s(literal 1 binary64) (/.f64 c b)) |
#s(literal 1 binary64) |
(/.f64 c b) |
c |
b |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)))) |
(*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d))) |
(neg.f64 a) |
a |
#s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)) |
(/.f64 #s(literal 1 binary64) d) |
#s(literal 1 binary64) |
d |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) a)) |
#s(literal 1 binary64) |
(/.f64 (neg.f64 d) a) |
(neg.f64 d) |
d |
a |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) |
(*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c) |
(/.f64 b (fma.f64 c c (*.f64 d d))) |
b |
(fma.f64 c c (*.f64 d d)) |
c |
(*.f64 d d) |
d |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) |
#s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c))) |
(*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)) |
(/.f64 (neg.f64 a) c) |
(neg.f64 a) |
a |
c |
(/.f64 d c) |
d |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
(/.f64 #s(literal 1 binary64) (/.f64 c b)) |
(/.f64 b c) |
#s(literal 1 binary64) |
(/.f64 c b) |
c |
b |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)) (neg.f64 a))) |
(*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d))) |
(*.f64 #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)) (neg.f64 a)) |
(neg.f64 a) |
a |
#s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)) |
(/.f64 #s(literal 1 binary64) d) |
#s(literal 1 binary64) |
d |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) a)) |
(/.f64 (neg.f64 a) d) |
#s(literal 1 binary64) |
(/.f64 (neg.f64 d) a) |
(/.f64 d (neg.f64 a)) |
(neg.f64 d) |
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 (/.f64 b (fma.f64 d d (*.f64 c c))) c)) |
(*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c) |
(*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) c) |
(/.f64 b (fma.f64 c c (*.f64 d d))) |
(/.f64 b (fma.f64 d d (*.f64 c c))) |
b |
(fma.f64 c c (*.f64 d d)) |
(fma.f64 d d (*.f64 c c)) |
c |
(*.f64 d d) |
d |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (/.f64 a c) c) (neg.f64 d)))) |
#s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c))) |
#s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (/.f64 a c) c) (neg.f64 d))) |
(*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)) |
(*.f64 (/.f64 (/.f64 a c) c) (neg.f64 d)) |
(/.f64 (neg.f64 a) c) |
(neg.f64 a) |
a |
c |
(/.f64 d c) |
d |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (neg.f64 a) | |
| accuracy | 1.9487702695745894 | (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)) | |
| accuracy | 27.564835846126837 | #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c))) | |
| accuracy | 27.625735154406307 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) | |
| accuracy | 0.0078125 | (fma.f64 c c (*.f64 d d)) | |
| accuracy | 9.008356321159663 | (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c) | |
| accuracy | 9.370359380264444 | (/.f64 b (fma.f64 c c (*.f64 d d))) | |
| accuracy | 26.83897688286362 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) | |
| accuracy | 0 | (/.f64 (neg.f64 d) a) | |
| accuracy | 0 | (neg.f64 d) | |
| accuracy | 0.2537188014253495 | (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) a)) | |
| accuracy | 37.19628858862628 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) a))) | |
| accuracy | 0 | (neg.f64 a) | |
| accuracy | 2.8892059324953623 | (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d))) | |
| accuracy | 26.852619629639577 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)))) | |
| accuracy | 31.178677888460687 | #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)) | |
| accuracy | 0 | (/.f64 c b) | |
| accuracy | 0.5611740920345516 | (/.f64 #s(literal 1 binary64) (/.f64 c b)) | |
| accuracy | 36.83349762935565 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) |
| 69.0ms | 256× | 0 | valid |
Compiled 194 to 31 computations (84% saved)
ival-div: 27.0ms (59.8% of total)ival-mult: 10.0ms (22.2% of total)ival-neg: 4.0ms (8.9% of total)ival-sub: 2.0ms (4.4% of total)ival-add: 1.0ms (2.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 c b)) (patch (/.f64 #s(literal 1 binary64) (/.f64 c b)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.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 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d))) (patch (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d))) #<representation binary64>) () ()) |
#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ()) |
#s(alt #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)) (patch #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) a)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) a)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) a))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) a))) #<representation binary64>) () ()) |
#s(alt (/.f64 (neg.f64 d) a) (patch (/.f64 (neg.f64 d) a) #<representation binary64>) () ()) |
#s(alt (neg.f64 d) (patch (neg.f64 d) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c) (patch (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c) #<representation binary64>) () ()) |
#s(alt (/.f64 b (fma.f64 c c (*.f64 d d))) (patch (/.f64 b (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ()) |
#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c))) (patch #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)) (patch (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)) #<representation binary64>) () ()) |
#s(alt (/.f64 (neg.f64 a) c) (patch (/.f64 (neg.f64 a) c) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ b c) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 c b)) (patch (/.f64 #s(literal 1 binary64) (/.f64 c b)) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 c b)) (patch (/.f64 #s(literal 1 binary64) (/.f64 c b)) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 c b)) (patch (/.f64 #s(literal 1 binary64) (/.f64 c b)) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 c b)) (patch (/.f64 #s(literal 1 binary64) (/.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 #s(literal 1 binary64) (/.f64 c b))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.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 #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.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 #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.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 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d))) (patch (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* a (pow c 2)) (pow d 3))) (taylor 0 c) (#s(alt (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d))) (patch (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* (pow c 2) (+ (* -1 (/ (* a (pow c 2)) (pow d 5))) (/ a (pow d 3))))) (taylor 0 c) (#s(alt (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d))) (patch (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* (pow c 2) (+ (* (pow c 2) (+ (* -1 (/ a (pow d 5))) (/ (* a (pow c 2)) (pow d 7)))) (/ a (pow d 3))))) (taylor 0 c) (#s(alt (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d))) (patch (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 d) (taylor 0 c) (#s(alt #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)) (patch #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d)) (taylor 0 c) (#s(alt #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)) (patch #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) 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 #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)) (patch #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) 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 #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)) (patch #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) a))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) 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 #s(literal 1 binary64) (/.f64 (neg.f64 d) a))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) 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 #s(literal 1 binary64) (/.f64 (neg.f64 d) a))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) 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 #s(literal 1 binary64) (/.f64 (neg.f64 d) a))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) a))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) (pow d 2)) (taylor 0 c) (#s(alt (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c) (patch (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1 (/ (* b (pow c 2)) (pow d 4))) (/ b (pow d 2)))) (taylor 0 c) (#s(alt (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c) (patch (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 6)) (/ b (pow d 4)))) (/ b (pow d 2)))) (taylor 0 c) (#s(alt (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c) (patch (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 8))) (* -1 (/ b (pow d 6))))) (/ b (pow d 4)))) (/ b (pow d 2)))) (taylor 0 c) (#s(alt (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c) (patch (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c) #<representation binary64>) () ())) ()) |
#s(alt (/ b (pow d 2)) (taylor 0 c) (#s(alt (/.f64 b (fma.f64 c c (*.f64 d d))) (patch (/.f64 b (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* b (pow c 2)) (pow d 4))) (/ b (pow d 2))) (taylor 0 c) (#s(alt (/.f64 b (fma.f64 c c (*.f64 d d))) (patch (/.f64 b (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 6)) (/ b (pow d 4)))) (/ b (pow d 2))) (taylor 0 c) (#s(alt (/.f64 b (fma.f64 c c (*.f64 d d))) (patch (/.f64 b (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 8))) (* -1 (/ b (pow d 6))))) (/ b (pow d 4)))) (/ b (pow d 2))) (taylor 0 c) (#s(alt (/.f64 b (fma.f64 c c (*.f64 d d))) (patch (/.f64 b (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (pow d 2) (taylor 0 c) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())) ()) |
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#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))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ (* a d) (pow c 2))) (taylor -inf d) (#s(alt (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)) (patch (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 44.0ms | a | @ | 0 | ((/ 1 (/ c b)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ c b) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (neg a) (/ d (+ (* c c) (* d d)))) (neg a) (/ d (+ (* c c) (* d d))) (/ 1 (/ (neg d) a)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (neg d) a) (neg d) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (/ b (+ (* c c) (* d d))) c) (/ b (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- b (/ (* a d) c)) c) (* (/ (neg a) c) (/ d c)) (/ (neg a) c)) |
| 3.0ms | a | @ | inf | ((/ 1 (/ c b)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ c b) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (neg a) (/ d (+ (* c c) (* d d)))) (neg a) (/ d (+ (* c c) (* d d))) (/ 1 (/ (neg d) a)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (neg d) a) (neg d) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (/ b (+ (* c c) (* d d))) c) (/ b (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- b (/ (* a d) c)) c) (* (/ (neg a) c) (/ d c)) (/ (neg a) c)) |
| 3.0ms | d | @ | inf | ((/ 1 (/ c b)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ c b) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (neg a) (/ d (+ (* c c) (* d d)))) (neg a) (/ d (+ (* c c) (* d d))) (/ 1 (/ (neg d) a)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (neg d) a) (neg d) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (/ b (+ (* c c) (* d d))) c) (/ b (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- b (/ (* a d) c)) c) (* (/ (neg a) c) (/ d c)) (/ (neg a) c)) |
| 3.0ms | d | @ | 0 | ((/ 1 (/ c b)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ c b) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (neg a) (/ d (+ (* c c) (* d d)))) (neg a) (/ d (+ (* c c) (* d d))) (/ 1 (/ (neg d) a)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (neg d) a) (neg d) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (/ b (+ (* c c) (* d d))) c) (/ b (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- b (/ (* a d) c)) c) (* (/ (neg a) c) (/ d c)) (/ (neg a) c)) |
| 3.0ms | b | @ | -inf | ((/ 1 (/ c b)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ c b) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (neg a) (/ d (+ (* c c) (* d d)))) (neg a) (/ d (+ (* c c) (* d d))) (/ 1 (/ (neg d) a)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (neg d) a) (neg d) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (/ b (+ (* c c) (* d d))) c) (/ b (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- b (/ (* a d) c)) c) (* (/ (neg a) c) (/ d c)) (/ (neg a) c)) |
| 1× | egg-herbie |
| 10 108× | lower-fma.f64 |
| 10 108× | lower-fma.f32 |
| 5 486× | lower-*.f64 |
| 5 486× | lower-*.f32 |
| 2 904× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 482 | 8380 |
| 1 | 1464 | 8020 |
| 2 | 4415 | 7858 |
| 0 | 8352 | 7477 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 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))))) |
(/ 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)) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(/ (* b c) (pow d 2)) |
(* c (+ (* -1 (/ (* b (pow c 2)) (pow d 4))) (/ b (pow d 2)))) |
(* c (+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 6)) (/ b (pow d 4)))) (/ b (pow d 2)))) |
(* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 8))) (* -1 (/ b (pow d 6))))) (/ b (pow d 4)))) (/ b (pow d 2)))) |
(/ b (pow d 2)) |
(+ (* -1 (/ (* b (pow c 2)) (pow d 4))) (/ b (pow d 2))) |
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 6)) (/ b (pow d 4)))) (/ b (pow d 2))) |
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 8))) (* -1 (/ b (pow d 6))))) (/ b (pow d 4)))) (/ b (pow d 2))) |
(pow d 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(* -1 (/ (* a d) (pow c 2))) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ a c)) |
(* -1 (/ a c)) |
(* -1 (/ a c)) |
(* -1 (/ a 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) |
(/ 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)) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(/ b c) |
(/ (+ b (* -1 (/ (* b (pow d 2)) (pow c 2)))) c) |
(/ (- (+ b (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2))) c) |
(/ (- (+ b (* -1 (/ (* b (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2)))) c) |
(/ b (pow c 2)) |
(/ (+ b (* -1 (/ (* b (pow d 2)) (pow c 2)))) (pow c 2)) |
(/ (- (+ b (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2))) (pow c 2)) |
(/ (- (+ b (* -1 (/ (* b (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2)))) (pow c 2)) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ a c)) |
(* -1 (/ a c)) |
(* -1 (/ a c)) |
(* -1 (/ a 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)) |
(/ 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)) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* b (pow d 2)) (pow c 2))) c)) |
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2)))) c)) |
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (+ (/ (* b (pow d 2)) (pow c 2)) (/ (* b (pow d 6)) (pow c 6))))) c)) |
(/ b (pow c 2)) |
(/ (+ b (* -1 (/ (* b (pow d 2)) (pow c 2)))) (pow c 2)) |
(/ (- (+ b (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2))) (pow c 2)) |
(/ (- (+ b (* -1 (/ (* b (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2)))) (pow c 2)) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ a c)) |
(* -1 (/ a c)) |
(* -1 (/ a c)) |
(* -1 (/ a 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)))) |
(/ 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) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ b (+ (pow c 2) (pow d 2))) |
(/ b (+ (pow c 2) (pow d 2))) |
(/ b (+ (pow c 2) (pow d 2))) |
(/ b (+ (pow c 2) (pow d 2))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (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)) |
(/ 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))))) |
(/ 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 c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ b (+ (pow c 2) (pow d 2))) |
(/ b (+ (pow c 2) (pow d 2))) |
(/ b (+ (pow c 2) (pow d 2))) |
(/ b (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(/ b c) |
(* b (+ (* -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) |
(/ 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))))))) |
(/ 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 c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ b (+ (pow c 2) (pow d 2))) |
(/ b (+ (pow c 2) (pow d 2))) |
(/ b (+ (pow c 2) (pow d 2))) |
(/ b (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(/ b c) |
(* -1 (* b (- (/ (* 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 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ d a)) |
(* -1 (/ d a)) |
(* -1 (/ d a)) |
(* -1 (/ d a)) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(/ b c) |
(+ (* -1 (/ (* a d) (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))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ a c)) |
(* -1 (/ a c)) |
(* -1 (/ a c)) |
(* -1 (/ 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 d) (+ (pow c 2) (pow d 2)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ d a)) |
(* -1 (/ d a)) |
(* -1 (/ d a)) |
(* -1 (/ d 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))) |
(* 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))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ a c)) |
(* -1 (/ a c)) |
(* -1 (/ a c)) |
(* -1 (/ a c)) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ d a)) |
(* -1 (/ d a)) |
(* -1 (/ d a)) |
(* -1 (/ 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 (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2))))) |
(* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2))))) |
(* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2))))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ a c)) |
(* -1 (/ a c)) |
(* -1 (/ a c)) |
(* -1 (/ a c)) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* 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)))) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(* -1 (/ d a)) |
(* -1 (/ d a)) |
(* -1 (/ d a)) |
(* -1 (/ d a)) |
(* -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 (/ (* b (pow d 2)) (pow c 3))) (/ b c)) |
(+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 5)) (/ b (pow c 3)))) (/ b c)) |
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 7))) (* -1 (/ b (pow c 5))))) (/ b (pow c 3)))) (/ b c)) |
(/ b (pow c 2)) |
(+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2))) |
(+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2))) |
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 8))) (* -1 (/ b (pow c 6))))) (/ b (pow c 4)))) (/ b (pow c 2))) |
(pow c 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(/ b c) |
(+ (* -1 (/ (* a d) (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))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* a (pow c 2)) (pow d 2))) d) |
(/ (+ (* -1 a) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2)))) d) |
(/ (+ (* -1 a) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* a (pow c 6)) (pow d 6))))) d) |
(/ 1 d) |
(/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) d) |
(/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) d) |
(/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) d) |
(* -1 (/ a d)) |
(* -1 (/ a 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)) |
(* -1 (/ d a)) |
(* -1 (/ d a)) |
(* -1 (/ d a)) |
(* -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) |
(/ (* b c) (pow d 2)) |
(/ (+ (* -1 (/ (* b (pow c 3)) (pow d 2))) (* b c)) (pow d 2)) |
(/ (- (+ (* b c) (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2))) (pow d 2)) |
(/ (- (+ (* -1 (/ (* b (pow c 7)) (pow d 6))) (* b c)) (+ (* -1 (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2)))) (pow d 2)) |
(/ b (pow d 2)) |
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) (pow d 2)) |
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) (pow d 2)) |
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) (pow d 2)) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(* -1 (/ (* a d) (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) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (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)) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* a (pow c 2)) (pow d 2)))) d)) |
(* -1 (/ (- (+ a (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2))) d)) |
(* -1 (/ (- (+ a (* -1 (/ (* a (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2)))) d)) |
(/ 1 d) |
(* -1 (/ (- (/ (pow c 2) (pow d 2)) 1) d)) |
(* -1 (/ (- (* -1 (/ (pow c 4) (pow d 4))) (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) d)) |
(* -1 (/ (- (/ (pow c 6) (pow d 6)) (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (pow c 4) (pow d 4))))) d)) |
(* -1 (/ a d)) |
(* -1 (/ a 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 a)) |
(* -1 (/ d a)) |
(* -1 (/ d a)) |
(* -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)) |
(/ (* b c) (pow d 2)) |
(/ (+ (* -1 (/ (* b (pow c 3)) (pow d 2))) (* b c)) (pow d 2)) |
(/ (- (+ (* b c) (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2))) (pow d 2)) |
(/ (- (+ (* -1 (/ (* b (pow c 7)) (pow d 6))) (* b c)) (+ (* -1 (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2)))) (pow d 2)) |
(/ b (pow d 2)) |
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) (pow d 2)) |
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) (pow d 2)) |
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) (pow d 2)) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(* -1 (/ (* a d) (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) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
| Outputs |
|---|
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 3 binary64))) a (/.f64 b (*.f64 d d))) c (/.f64 (neg.f64 a) d)) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
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(*.f64 (/.f64 a d) (fma.f64 (/.f64 c d) (/.f64 c 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 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))))) 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 (-.f64 (*.f64 a (fma.f64 (/.f64 c d) (/.f64 c d) (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))))) (fma.f64 (pow.f64 c #s(literal 4 binary64)) (/.f64 a (pow.f64 d #s(literal 4 binary64))) a)) d) |
(/ 1 d) |
(/.f64 #s(literal 1 binary64) d) |
(/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) d) |
(fma.f64 (neg.f64 c) (/.f64 c (pow.f64 d #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) d)) |
(/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) d) |
(/.f64 (-.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64))) d) |
(/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) d) |
(/.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) #s(literal -1 binary64) (-.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)))) d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(/ (+ (* -1 a) (/ (* 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 (/.f64 c d) (/.f64 c 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 b (fma.f64 (pow.f64 (/.f64 c d) #s(literal 3 binary64)) #s(literal -1 binary64) (/.f64 c d)) (*.f64 a (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)))) d) |
(* -1 (/ d a)) |
(/.f64 d (neg.f64 a)) |
(* -1 (/ d a)) |
(/.f64 d (neg.f64 a)) |
(* -1 (/ d a)) |
(/.f64 d (neg.f64 a)) |
(* -1 (/ d a)) |
(/.f64 d (neg.f64 a)) |
(* -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 (/.f64 c d) (/.f64 c 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 b (fma.f64 (pow.f64 (/.f64 c d) #s(literal 3 binary64)) #s(literal -1 binary64) (/.f64 c d)) (*.f64 a (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)))) d) |
(/ (* b c) (pow d 2)) |
(*.f64 (/.f64 b (*.f64 d d)) c) |
(/ (+ (* -1 (/ (* b (pow c 3)) (pow d 2))) (* b c)) (pow d 2)) |
(/.f64 (*.f64 b (fma.f64 (pow.f64 (/.f64 c d) #s(literal 3 binary64)) #s(literal -1 binary64) (/.f64 c d))) d) |
(/ (- (+ (* b c) (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2))) (pow d 2)) |
(/.f64 (/.f64 (*.f64 b (+.f64 (-.f64 (/.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) d) d)) c)) d) d) |
(/ (- (+ (* -1 (/ (* b (pow c 7)) (pow d 6))) (* b c)) (+ (* -1 (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2)))) (pow d 2)) |
(/.f64 (fma.f64 b (+.f64 (-.f64 (/.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) d) d)) c) (*.f64 (pow.f64 c #s(literal 7 binary64)) (/.f64 (neg.f64 b) (pow.f64 d #s(literal 6 binary64))))) (*.f64 d d)) |
(/ b (pow d 2)) |
(/.f64 b (*.f64 d d)) |
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) (pow d 2)) |
(fma.f64 (*.f64 c (/.f64 c (pow.f64 d #s(literal 4 binary64)))) (neg.f64 b) (/.f64 b (*.f64 d d))) |
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) (pow d 2)) |
(/.f64 (/.f64 (fma.f64 b (fma.f64 (/.f64 (neg.f64 c) d) (/.f64 c d) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) b) d) d) |
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) (pow d 2)) |
(/.f64 (fma.f64 b (fma.f64 (/.f64 (neg.f64 c) d) (/.f64 c d) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (fma.f64 (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (neg.f64 b) b)) (*.f64 d d)) |
(pow d 2) |
(*.f64 d d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) (*.f64 d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) (*.f64 d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) (*.f64 d d)) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(/ (+ (* -1 a) (/ (* 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 (/.f64 c d) (/.f64 c 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 b (fma.f64 (pow.f64 (/.f64 c d) #s(literal 3 binary64)) #s(literal -1 binary64) (/.f64 c d)) (*.f64 a (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)))) d) |
(* -1 (/ (* a d) (pow c 2))) |
(*.f64 (/.f64 (neg.f64 d) c) (/.f64 a c)) |
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(*.f64 (-.f64 (/.f64 (/.f64 b c) d) (/.f64 (/.f64 a c) c)) d) |
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(*.f64 (-.f64 (/.f64 (/.f64 b c) d) (/.f64 (/.f64 a c) c)) d) |
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(*.f64 (-.f64 (/.f64 (/.f64 b c) d) (/.f64 (/.f64 a c) c)) d) |
(* -1 (/ (* a d) (pow c 2))) |
(*.f64 (/.f64 (neg.f64 d) c) (/.f64 a c)) |
(* -1 (/ (* a d) (pow c 2))) |
(*.f64 (/.f64 (neg.f64 d) c) (/.f64 a c)) |
(* -1 (/ (* a d) (pow c 2))) |
(*.f64 (/.f64 (neg.f64 d) c) (/.f64 a c)) |
(* -1 (/ (* a d) (pow c 2))) |
(*.f64 (/.f64 (neg.f64 d) c) (/.f64 a c)) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (-.f64 a (/.f64 (*.f64 c b) d)) (neg.f64 d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 c b (/.f64 (*.f64 (*.f64 c c) a) d)) d)) (neg.f64 d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 c b (/.f64 (fma.f64 (*.f64 c c) a (/.f64 (*.f64 (neg.f64 b) (pow.f64 c #s(literal 3 binary64))) d)) d)) d)) (neg.f64 d)) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (-.f64 a (/.f64 (*.f64 c b) d)) (neg.f64 d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 c b (/.f64 (*.f64 (*.f64 c c) a) d)) d)) (neg.f64 d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 c b (/.f64 (fma.f64 (*.f64 c c) a (/.f64 (*.f64 (neg.f64 b) (pow.f64 c #s(literal 3 binary64))) d)) d)) d)) (neg.f64 d)) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* a (pow c 2)) (pow d 2)))) d)) |
(*.f64 (/.f64 a d) (fma.f64 (/.f64 c d) (/.f64 c 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 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))))) d) |
(* -1 (/ (- (+ a (* -1 (/ (* a (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2)))) d)) |
(/.f64 (fma.f64 (neg.f64 (pow.f64 c #s(literal 6 binary64))) (/.f64 a (pow.f64 d #s(literal 6 binary64))) (fma.f64 a (fma.f64 (/.f64 (neg.f64 c) d) (/.f64 c d) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) a)) (neg.f64 d)) |
(/ 1 d) |
(/.f64 #s(literal 1 binary64) d) |
(* -1 (/ (- (/ (pow c 2) (pow d 2)) 1) d)) |
(fma.f64 (neg.f64 c) (/.f64 c (pow.f64 d #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) d)) |
(* -1 (/ (- (* -1 (/ (pow c 4) (pow d 4))) (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) d)) |
(/.f64 (-.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64))) d) |
(* -1 (/ (- (/ (pow c 6) (pow d 6)) (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (pow c 4) (pow d 4))))) d)) |
(/.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) #s(literal -1 binary64) (-.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)))) d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (-.f64 a (/.f64 (*.f64 c b) d)) (neg.f64 d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 c b (/.f64 (*.f64 (*.f64 c c) a) d)) d)) (neg.f64 d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 c b (/.f64 (fma.f64 (*.f64 c c) a (/.f64 (*.f64 (neg.f64 b) (pow.f64 c #s(literal 3 binary64))) d)) d)) d)) (neg.f64 d)) |
(* -1 (/ d a)) |
(/.f64 d (neg.f64 a)) |
(* -1 (/ d a)) |
(/.f64 d (neg.f64 a)) |
(* -1 (/ d a)) |
(/.f64 d (neg.f64 a)) |
(* -1 (/ d a)) |
(/.f64 d (neg.f64 a)) |
(* -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 a (/.f64 (*.f64 c b) d)) (neg.f64 d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 c b (/.f64 (*.f64 (*.f64 c c) a) d)) d)) (neg.f64 d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 c b (/.f64 (fma.f64 (*.f64 c c) a (/.f64 (*.f64 (neg.f64 b) (pow.f64 c #s(literal 3 binary64))) d)) d)) d)) (neg.f64 d)) |
(/ (* b c) (pow d 2)) |
(*.f64 (/.f64 b (*.f64 d d)) c) |
(/ (+ (* -1 (/ (* b (pow c 3)) (pow d 2))) (* b c)) (pow d 2)) |
(/.f64 (*.f64 b (fma.f64 (pow.f64 (/.f64 c d) #s(literal 3 binary64)) #s(literal -1 binary64) (/.f64 c d))) d) |
(/ (- (+ (* b c) (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2))) (pow d 2)) |
(/.f64 (/.f64 (*.f64 b (+.f64 (-.f64 (/.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) d) d)) c)) d) d) |
(/ (- (+ (* -1 (/ (* b (pow c 7)) (pow d 6))) (* b c)) (+ (* -1 (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2)))) (pow d 2)) |
(/.f64 (fma.f64 b (+.f64 (-.f64 (/.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) d) d)) c) (*.f64 (pow.f64 c #s(literal 7 binary64)) (/.f64 (neg.f64 b) (pow.f64 d #s(literal 6 binary64))))) (*.f64 d d)) |
(/ b (pow d 2)) |
(/.f64 b (*.f64 d d)) |
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) (pow d 2)) |
(fma.f64 (*.f64 c (/.f64 c (pow.f64 d #s(literal 4 binary64)))) (neg.f64 b) (/.f64 b (*.f64 d d))) |
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) (pow d 2)) |
(/.f64 (/.f64 (fma.f64 b (fma.f64 (/.f64 (neg.f64 c) d) (/.f64 c d) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) b) d) d) |
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) (pow d 2)) |
(/.f64 (fma.f64 b (fma.f64 (/.f64 (neg.f64 c) d) (/.f64 c d) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (fma.f64 (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (neg.f64 b) b)) (*.f64 d d)) |
(pow d 2) |
(*.f64 d d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) (*.f64 d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) (*.f64 d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) (*.f64 d d)) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (-.f64 a (/.f64 (*.f64 c b) d)) (neg.f64 d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 c b (/.f64 (*.f64 (*.f64 c c) a) d)) d)) (neg.f64 d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 c b (/.f64 (fma.f64 (*.f64 c c) a (/.f64 (*.f64 (neg.f64 b) (pow.f64 c #s(literal 3 binary64))) d)) d)) d)) (neg.f64 d)) |
(* -1 (/ (* a d) (pow c 2))) |
(*.f64 (/.f64 (neg.f64 d) c) (/.f64 a c)) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(*.f64 (-.f64 (/.f64 (/.f64 b c) d) (/.f64 (/.f64 a c) c)) d) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(*.f64 (-.f64 (/.f64 (/.f64 b c) d) (/.f64 (/.f64 a c) c)) d) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(*.f64 (-.f64 (/.f64 (/.f64 b c) d) (/.f64 (/.f64 a c) c)) d) |
(* -1 (/ (* a d) (pow c 2))) |
(*.f64 (/.f64 (neg.f64 d) c) (/.f64 a c)) |
(* -1 (/ (* a d) (pow c 2))) |
(*.f64 (/.f64 (neg.f64 d) c) (/.f64 a c)) |
(* -1 (/ (* a d) (pow c 2))) |
(*.f64 (/.f64 (neg.f64 d) c) (/.f64 a c)) |
(* -1 (/ (* a d) (pow c 2))) |
(*.f64 (/.f64 (neg.f64 d) c) (/.f64 a c)) |
| 4 438× | lower-fma.f32 |
| 4 436× | lower-fma.f64 |
| 4 196× | lower-*.f32 |
| 4 188× | lower-*.f64 |
| 3 842× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 232 |
| 0 | 54 | 232 |
| 1 | 199 | 224 |
| 2 | 1350 | 224 |
| 0 | 8442 | 224 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 c b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) |
(/.f64 c b) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)))) |
(*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d))) |
(neg.f64 a) |
#s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) a)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) a))) |
(/.f64 (neg.f64 d) a) |
(neg.f64 d) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) |
(*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c) |
(/.f64 b (fma.f64 c c (*.f64 d d))) |
(fma.f64 c c (*.f64 d d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) |
#s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c))) |
(*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)) |
(/.f64 (neg.f64 a) c) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 b c) #s(literal 1/2 binary64)) (pow.f64 (/.f64 b c) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) c) (pow.f64 (/.f64 #s(literal -1 binary64) b) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 b)) |
(*.f64 (pow.f64 c #s(literal -1 binary64)) b) |
(*.f64 (/.f64 b c) #s(literal 1 binary64)) |
(*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) c)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b c))) |
(*.f64 b (pow.f64 c #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 b c)) |
(pow.f64 (exp.f64 (log.f64 (/.f64 c b))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 c b) (/.f64 c b)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 b c) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 b c) #s(literal 1 binary64)) |
(pow.f64 (/.f64 c b) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 b c)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (pow.f64 c #s(literal -1 binary64))) (neg.f64 (pow.f64 b #s(literal -1 binary64)))) |
(/.f64 (pow.f64 c #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64))) |
(/.f64 (/.f64 b c) #s(literal 1 binary64)) |
(/.f64 (neg.f64 b) (neg.f64 c)) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 c) b)) |
(/.f64 b c) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 b #s(literal -1 binary64)) (pow.f64 c #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 c b)) |
(neg.f64 (/.f64 (neg.f64 (/.f64 b c)) #s(literal 1 binary64))) |
(neg.f64 (/.f64 b (neg.f64 c))) |
(neg.f64 (neg.f64 (/.f64 b c))) |
(-.f64 #s(literal 0 binary64) (/.f64 b (neg.f64 c))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 b c))) |
(exp.f64 (*.f64 (log.f64 (/.f64 c b)) #s(literal -1 binary64))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
(*.f64 (pow.f64 (/.f64 b c) #s(literal -1/2 binary64)) (pow.f64 (/.f64 b c) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 b c) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 b c) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) c) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) b)) |
(*.f64 (pow.f64 (pow.f64 c #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 b #s(literal -1 binary64))) |
(*.f64 (pow.f64 b #s(literal -1 binary64)) (pow.f64 (pow.f64 c #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 b #s(literal -1 binary64)) c) |
(*.f64 (/.f64 (neg.f64 c) b) #s(literal -1 binary64)) |
(*.f64 (neg.f64 c) (neg.f64 (pow.f64 b #s(literal -1 binary64)))) |
(*.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) b)) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 c) b)) |
(*.f64 (/.f64 c b) #s(literal 1 binary64)) |
(*.f64 c (neg.f64 (neg.f64 (pow.f64 b #s(literal -1 binary64))))) |
(*.f64 c (pow.f64 b #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 c b)) |
(pow.f64 (/.f64 b c) #s(literal -1 binary64)) |
(pow.f64 (/.f64 c b) #s(literal 1 binary64)) |
(/.f64 (/.f64 (neg.f64 c) b) #s(literal -1 binary64)) |
(/.f64 (neg.f64 c) (neg.f64 b)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b c))) |
(/.f64 (/.f64 c b) #s(literal 1 binary64)) |
(/.f64 c b) |
(/.f64 #s(literal 1 binary64) (/.f64 b c)) |
(neg.f64 (/.f64 (/.f64 (neg.f64 c) b) #s(literal 1 binary64))) |
(neg.f64 (/.f64 (/.f64 c b) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (neg.f64 c) b)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 b)) (/.f64 (neg.f64 c) b)) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 c b) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 c) b)) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 c b)) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 c b)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 b c)) #s(literal -1 binary64))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ d (+ (* c c) (* d d))) (pow.f64 d #s(literal -1 binary64))) (neg.f64 a))) |
(*.f64 (*.f64 #s(approx (/ d (+ (* c c) (* d d))) (pow.f64 d #s(literal -1 binary64))) #s(literal -1 binary64)) a) |
(*.f64 (neg.f64 #s(approx (/ d (+ (* c c) (* d d))) (pow.f64 d #s(literal -1 binary64)))) a) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ d (+ (* c c) (* d d))) (pow.f64 d #s(literal -1 binary64))) a)) |
(*.f64 #s(approx (/ d (+ (* c c) (* d d))) (pow.f64 d #s(literal -1 binary64))) (neg.f64 a)) |
(*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (pow.f64 d #s(literal -1 binary64)))) |
(*.f64 a (neg.f64 #s(approx (/ d (+ (* c c) (* d d))) (pow.f64 d #s(literal -1 binary64))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(approx (/ d (+ (* c c) (* d d))) (pow.f64 d #s(literal -1 binary64))) a) (*.f64 #s(approx (/ d (+ (* c c) (* d d))) (pow.f64 d #s(literal -1 binary64))) a))) (+.f64 #s(literal 0 binary64) (*.f64 #s(approx (/ d (+ (* c c) (* d d))) (pow.f64 d #s(literal -1 binary64))) a))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(approx (/ d (+ (* c c) (* d d))) (pow.f64 d #s(literal -1 binary64))) a) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 #s(approx (/ d (+ (* c c) (* d d))) (pow.f64 d #s(literal -1 binary64))) a) (*.f64 #s(approx (/ d (+ (* c c) (* d d))) (pow.f64 d #s(literal -1 binary64))) a) (*.f64 #s(literal 0 binary64) (*.f64 #s(approx (/ d (+ (* c c) (* d d))) (pow.f64 d #s(literal -1 binary64))) a))))) |
(neg.f64 (*.f64 (*.f64 #s(approx (/ d (+ (* c c) (* d d))) (pow.f64 d #s(literal -1 binary64))) #s(literal -1 binary64)) (neg.f64 a))) |
(neg.f64 (*.f64 (neg.f64 a) (neg.f64 #s(approx (/ d (+ (* c c) (* d d))) (pow.f64 d #s(literal -1 binary64)))))) |
(neg.f64 (*.f64 #s(approx (/ d (+ (* c c) (* d d))) (pow.f64 d #s(literal -1 binary64))) a)) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(approx (/ d (+ (* c c) (* d d))) (pow.f64 d #s(literal -1 binary64))) a)) |
(+.f64 #s(literal 0 binary64) (*.f64 #s(approx (/ d (+ (* c c) (* d d))) (pow.f64 d #s(literal -1 binary64))) (neg.f64 a))) |
(*.f64 (neg.f64 (*.f64 a a)) (pow.f64 a #s(literal -1 binary64))) |
(*.f64 (neg.f64 (pow.f64 a #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a a #s(literal 0 binary64)))) |
(*.f64 #s(literal -1 binary64) a) |
(*.f64 (neg.f64 a) #s(literal 1 binary64)) |
(*.f64 a #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (neg.f64 a)) |
(/.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 (neg.f64 (*.f64 a a))) (neg.f64 a)) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (fma.f64 a a #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (*.f64 a a)) a) |
(/.f64 (neg.f64 (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a #s(literal 0 binary64))) |
(/.f64 (neg.f64 a) #s(literal 1 binary64)) |
(/.f64 a #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 (*.f64 a a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a a #s(literal 0 binary64)) (neg.f64 (pow.f64 a #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) a)) |
(neg.f64 a) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 a a #s(literal 0 binary64))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a a #s(literal 0 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 a a) a)) |
(-.f64 #s(literal 0 binary64) a) |
(+.f64 #s(literal 0 binary64) (neg.f64 a)) |
#s(approx (/ d (+ (* c c) (* d d))) (pow.f64 d #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (neg.f64 a) d) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (neg.f64 a) d) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 a d) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) d) a) |
(*.f64 (/.f64 (neg.f64 a) d) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 a d)) |
(*.f64 (pow.f64 d #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) a) #s(literal -1 binary64))) |
(*.f64 (pow.f64 d #s(literal -1 binary64)) (neg.f64 a)) |
(*.f64 (neg.f64 a) (pow.f64 d #s(literal -1 binary64))) |
(*.f64 a (/.f64 #s(literal -1 binary64) d)) |
(*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) d)) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (neg.f64 d) a))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 (neg.f64 d) a) (/.f64 (neg.f64 d) a)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (neg.f64 a) d) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (neg.f64 a) d) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (neg.f64 d) a) #s(literal -1 binary64)) |
(/.f64 (/.f64 a d) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) d) (pow.f64 a #s(literal -1 binary64))) |
(/.f64 (/.f64 (neg.f64 a) d) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 d a)) |
(/.f64 (pow.f64 d #s(literal -1 binary64)) (neg.f64 (pow.f64 a #s(literal -1 binary64)))) |
(/.f64 (neg.f64 a) d) |
(/.f64 a (neg.f64 d)) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) d))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) a)) |
(neg.f64 (/.f64 (pow.f64 d #s(literal -1 binary64)) (pow.f64 a #s(literal -1 binary64)))) |
(neg.f64 (/.f64 (/.f64 a d) #s(literal 1 binary64))) |
(neg.f64 (/.f64 a d)) |
(-.f64 (/.f64 #s(literal 0 binary64) d) (/.f64 a d)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 d)) (/.f64 a d)) |
(-.f64 #s(literal 0 binary64) (/.f64 a d)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 d) a)) #s(literal -1 binary64))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
(*.f64 (pow.f64 (/.f64 (neg.f64 a) d) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (neg.f64 a) d) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (neg.f64 a) d) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 (neg.f64 a) d) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) d) #s(literal -1 binary64)) (pow.f64 a #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) a) d) |
(*.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) d) #s(literal -1 binary64))) |
(*.f64 (pow.f64 a #s(literal -1 binary64)) (neg.f64 d)) |
(*.f64 (/.f64 d a) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 d a)) |
(*.f64 (/.f64 (neg.f64 d) a) #s(literal 1 binary64)) |
(*.f64 (neg.f64 d) (neg.f64 (neg.f64 (pow.f64 a #s(literal -1 binary64))))) |
(*.f64 (neg.f64 d) (pow.f64 a #s(literal -1 binary64))) |
(*.f64 d (neg.f64 (pow.f64 a #s(literal -1 binary64)))) |
(*.f64 d (/.f64 #s(literal -1 binary64) a)) |
(*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) a)) |
(pow.f64 (/.f64 (neg.f64 a) d) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (neg.f64 d) a) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 d a) (/.f64 d a))) (/.f64 d a)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 d a) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 d a) (/.f64 d a) (*.f64 #s(literal 0 binary64) (/.f64 d a))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 a) d)) (neg.f64 a)) (*.f64 a (/.f64 (neg.f64 a) d))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 a)) (*.f64 (neg.f64 d) a)) (*.f64 a (neg.f64 a))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 a d)) a) (*.f64 a (/.f64 a d))) |
(/.f64 (*.f64 (neg.f64 d) a) (*.f64 a a)) |
(/.f64 (/.f64 d a) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 a d)) |
(/.f64 (/.f64 (neg.f64 d) a) #s(literal 1 binary64)) |
(/.f64 (neg.f64 d) a) |
(/.f64 d (neg.f64 a)) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) d)) |
(neg.f64 (/.f64 d a)) |
(-.f64 #s(literal 0 binary64) (/.f64 d a)) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (neg.f64 d) a)) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (neg.f64 d) a)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 a) d)) #s(literal -1 binary64))) |
(+.f64 #s(literal 0 binary64) (/.f64 (neg.f64 d) a)) |
(*.f64 (*.f64 (neg.f64 d) d) (pow.f64 d #s(literal -1 binary64))) |
(*.f64 (neg.f64 (pow.f64 d #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 d d #s(literal 0 binary64)))) |
(*.f64 #s(literal -1 binary64) d) |
(*.f64 (neg.f64 d) #s(literal 1 binary64)) |
(*.f64 d #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (neg.f64 d)) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 d) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 d d) (*.f64 #s(literal 0 binary64) (neg.f64 d))))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 d #s(literal 3 binary64)))) (neg.f64 (fma.f64 d d #s(literal 0 binary64)))) |
(/.f64 (*.f64 (neg.f64 d) d) d) |
(/.f64 (neg.f64 (pow.f64 d #s(literal 3 binary64))) (fma.f64 d d #s(literal 0 binary64))) |
(/.f64 #s(literal -1 binary64) (pow.f64 d #s(literal -1 binary64))) |
(/.f64 (*.f64 d d) (neg.f64 d)) |
(/.f64 (neg.f64 d) #s(literal 1 binary64)) |
(/.f64 d #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 (neg.f64 d) d))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d #s(literal 0 binary64)) (neg.f64 (pow.f64 d #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) d)) |
(neg.f64 d) |
(-.f64 (/.f64 #s(literal 0 binary64) d) (/.f64 (*.f64 d d) d)) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 d d #s(literal 0 binary64))) (/.f64 (pow.f64 d #s(literal 3 binary64)) (fma.f64 d d #s(literal 0 binary64)))) |
(-.f64 #s(literal 0 binary64) d) |
(+.f64 #s(literal 0 binary64) (neg.f64 d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) c)) |
(*.f64 (/.f64 c (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (/.f64 b (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 c) c (*.f64 d d))))) |
(*.f64 (/.f64 c (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (/.f64 b (pow.f64 (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b) |
(*.f64 (/.f64 b (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (/.f64 c (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 c) c (*.f64 d d))))) |
(*.f64 (/.f64 b (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (/.f64 c (pow.f64 (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 b c) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 (+.f64 c d) (-.f64 c d))) |
(*.f64 (/.f64 (*.f64 b c) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64)))) |
(*.f64 (*.f64 c #s(literal -1 binary64)) (/.f64 (neg.f64 b) (fma.f64 d d (*.f64 c c)))) |
(*.f64 (*.f64 (neg.f64 b) c) (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c)))) |
(*.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) (/.f64 c (pow.f64 b #s(literal -1 binary64)))) |
(*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) c) |
(*.f64 (*.f64 b c) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64))) |
(*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c)))) |
(*.f64 b (*.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) c)) |
(*.f64 c (/.f64 b (fma.f64 d d (*.f64 c c)))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 b (fma.f64 d d (*.f64 c c))) c)) |
(pow.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 b c)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 b) c)) (fma.f64 d d (*.f64 c c))) |
(/.f64 (*.f64 (neg.f64 b) c) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
(/.f64 (neg.f64 c) (neg.f64 (/.f64 (fma.f64 d d (*.f64 c c)) b))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 b c)))) |
(/.f64 (*.f64 b c) (fma.f64 d d (*.f64 c c))) |
(/.f64 c (/.f64 (fma.f64 d d (*.f64 c c)) b)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 d d (*.f64 c c)) b) c)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 b c)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 b c))) |
(neg.f64 (*.f64 c (/.f64 (neg.f64 b) (fma.f64 d d (*.f64 c c))))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 b) (fma.f64 d d (*.f64 c c))) c)) |
(neg.f64 (/.f64 (*.f64 b c) (neg.f64 (fma.f64 d d (*.f64 c c))))) |
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(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 c) a)) (/.f64 (/.f64 (neg.f64 d) c) (/.f64 (neg.f64 c) a))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 c d)) (/.f64 (/.f64 (*.f64 d a) c) c)) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 c (/.f64 (neg.f64 c) a))) (/.f64 (neg.f64 d) (*.f64 c (/.f64 (neg.f64 c) a)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 c) a) c)) (/.f64 (neg.f64 d) (*.f64 (/.f64 (neg.f64 c) a) c))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 c d) (neg.f64 c))) (/.f64 (neg.f64 a) (*.f64 (/.f64 c d) (neg.f64 c)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 c c)) (/.f64 (/.f64 (*.f64 d a) c) c)) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 d a) c) c)) |
(*.f64 (pow.f64 (/.f64 (neg.f64 c) a) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (neg.f64 c) a) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 c #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) a) #s(literal -1 binary64))) |
(*.f64 (pow.f64 c #s(literal -1 binary64)) (neg.f64 a)) |
(*.f64 #s(literal -1 binary64) (/.f64 a c)) |
(*.f64 (/.f64 (neg.f64 a) c) #s(literal 1 binary64)) |
(*.f64 (neg.f64 a) (pow.f64 c #s(literal -1 binary64))) |
(*.f64 a (neg.f64 (pow.f64 c #s(literal -1 binary64)))) |
(*.f64 a (/.f64 #s(literal -1 binary64) c)) |
(*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 a) c)) |
(pow.f64 (/.f64 (neg.f64 c) a) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 a c) (/.f64 a c))) (+.f64 #s(literal 0 binary64) (/.f64 a c))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 a c) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 a c) (/.f64 a c) (*.f64 #s(literal 0 binary64) (/.f64 a c))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 c)) (*.f64 c (neg.f64 a))) (*.f64 (neg.f64 c) c)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) c) (*.f64 c a)) (*.f64 c c)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 c a)) c) (*.f64 c (/.f64 c a))) |
(/.f64 #s(literal -1 binary64) (/.f64 c a)) |
(/.f64 (neg.f64 a) c) |
(/.f64 a (neg.f64 c)) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 c) a)) |
(neg.f64 (*.f64 (pow.f64 c #s(literal -1 binary64)) a)) |
(neg.f64 (*.f64 (/.f64 a c) #s(literal 1 binary64))) |
(neg.f64 (/.f64 a c)) |
(-.f64 #s(literal 0 binary64) (/.f64 a c)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 c) a)) #s(literal -1 binary64))) |
(+.f64 #s(literal 0 binary64) (/.f64 (neg.f64 a) c)) |
Compiled 14 802 to 2 087 computations (85.9% saved)
24 alts after pruning (15 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 050 | 9 | 1 059 |
| Fresh | 1 | 6 | 7 |
| Picked | 2 | 3 | 5 |
| Done | 2 | 6 | 8 |
| Total | 1 055 | 24 | 1 079 |
| Status | Accuracy | Program |
|---|---|---|
| 36.3% | (/.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) #s(approx (neg (+ (* d d) (* c c))) (*.f64 (neg.f64 c) c))) | |
| 36.9% | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| 36.3% | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| ✓ | 51.9% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c d) (/.f64 b d) (/.f64 (neg.f64 a) d))) |
| ✓ | 53.4% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) |
| ✓ | 53.9% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
| ✓ | 41.9% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
| 24.1% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- (/ (* c b) d) a) (/.f64 (*.f64 c b) d)) d)) | |
| ✓ | 42.4% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
| ✓ | 41.9% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) |
| 41.7% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 d a))) | |
| ✓ | 38.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) |
| 20.8% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c)) | |
| 27.1% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) | |
| 41.7% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) d) a)) | |
| 42.3% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 b))) | |
| ✓ | 43.3% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
| 21.6% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) | |
| 35.8% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ b (+ (* c c) (* d d))) (/.f64 (/.f64 b c) c)) c)) | |
| 23.1% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 (/.f64 c d) d) b))) | |
| 24.6% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (/.f64 (*.f64 (/.f64 (neg.f64 a) c) d) c))) | |
| 20.8% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (/.f64 (*.f64 (neg.f64 d) a) (*.f64 c c)))) | |
| ✓ | 24.6% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) |
| 20.8% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))))) |
Compiled 726 to 390 computations (46.3% 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) d) a)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 d a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (/.f64 (*.f64 (neg.f64 d) a) (*.f64 c c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 (/.f64 c d) d) b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ b (+ (* c c) (* d d))) (/.f64 (/.f64 b c) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- (/ (* c b) d) a) (/.f64 (*.f64 c b) d)) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (/.f64 (neg.f64 a) c) c) d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (/.f64 (*.f64 (/.f64 (neg.f64 a) c) d) c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) |
(/.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) #s(approx (neg (+ (* d d) (* c c))) (*.f64 (neg.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 b) c (*.f64 a d)) (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c d) (/.f64 b d) (/.f64 (neg.f64 a) d))) |
(*.f64 (fma.f64 a d (*.f64 b c)) (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) #s(approx (* (+ (* a d) (* b c)) (+ (* d d) (* c c))) (*.f64 (*.f64 (fma.f64 c b (*.f64 d a)) d) d)))) |
(*.f64 (fma.f64 a d (*.f64 b c)) (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 d d (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (fma.f64 (/.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) a) c (/.f64 (neg.f64 d) (fma.f64 c c (*.f64 d d)))) a)) |
(/.f64 (-.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (/.f64 (/.f64 (fma.f64 d d (*.f64 c c)) b) c) (*.f64 a d))) (*.f64 (/.f64 (/.f64 (fma.f64 d d (*.f64 c c)) b) c) (fma.f64 d d (*.f64 c c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 a (pow.f64 c #s(literal 4 binary64))) d) (/.f64 b (pow.f64 c #s(literal 3 binary64)))) d (/.f64 (/.f64 (neg.f64 a) c) c)) d (/.f64 b c))) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 a (pow.f64 c #s(literal 4 binary64))) d) (/.f64 b (pow.f64 c #s(literal 3 binary64)))) d (/.f64 (/.f64 (neg.f64 a) c) c)) d (/.f64 b c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (fma.f64 (/.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) a) c (/.f64 (neg.f64 d) (fma.f64 c c (*.f64 d d)))) a)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) |
(/.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 a (pow.f64 c #s(literal 4 binary64))) d) (/.f64 b (pow.f64 c #s(literal 3 binary64)))) d (/.f64 (/.f64 (neg.f64 a) c) c)) d (/.f64 b c))) |
5 calls:
| 31.0ms | b |
| 21.0ms | d |
| 11.0ms | c |
| 11.0ms | a |
| 10.0ms | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.8% | 3 | a |
| 70.2% | 4 | b |
| 85.9% | 5 | c |
| 84.3% | 5 | d |
| 75.6% | 3 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
Compiled 19 to 27 computations (-42.1% saved)
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) d) a)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 d a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (/.f64 (*.f64 (neg.f64 d) a) (*.f64 c c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 (/.f64 c d) d) b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ b (+ (* c c) (* d d))) (/.f64 (/.f64 b c) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- (/ (* c b) d) a) (/.f64 (*.f64 c b) d)) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (/.f64 (neg.f64 a) c) c) d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (/.f64 (*.f64 (/.f64 (neg.f64 a) c) d) c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) |
(/.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) #s(approx (neg (+ (* d d) (* c c))) (*.f64 (neg.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 b) c (*.f64 a d)) (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c d) (/.f64 b d) (/.f64 (neg.f64 a) d))) |
(*.f64 (fma.f64 a d (*.f64 b c)) (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) #s(approx (* (+ (* a d) (* b c)) (+ (* d d) (* c c))) (*.f64 (*.f64 (fma.f64 c b (*.f64 d a)) d) d)))) |
(*.f64 (fma.f64 a d (*.f64 b c)) (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 d d (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (fma.f64 (/.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) a) c (/.f64 (neg.f64 d) (fma.f64 c c (*.f64 d d)))) a)) |
(/.f64 (-.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (/.f64 (/.f64 (fma.f64 d d (*.f64 c c)) b) c) (*.f64 a d))) (*.f64 (/.f64 (/.f64 (fma.f64 d d (*.f64 c c)) b) c) (fma.f64 d d (*.f64 c c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) d)) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c d) (/.f64 b d) (/.f64 (neg.f64 a) d))) |
(/.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (fma.f64 (/.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) a) c (/.f64 (neg.f64 d) (fma.f64 c c (*.f64 d d)))) a)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c d) (/.f64 b d) (/.f64 (neg.f64 a) d))) |
2 calls:
| 47.0ms | c |
| 45.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.3% | 5 | d |
| 84.0% | 5 | c |
Compiled 2 to 8 computations (-300% saved)
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) d) a)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 d a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (/.f64 (*.f64 (neg.f64 d) a) (*.f64 c c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 (/.f64 c d) d) b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ b (+ (* c c) (* d d))) (/.f64 (/.f64 b c) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- (/ (* c b) d) a) (/.f64 (*.f64 c b) d)) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (/.f64 (neg.f64 a) c) c) d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (/.f64 (*.f64 (/.f64 (neg.f64 a) c) d) c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) |
(/.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) #s(approx (neg (+ (* d d) (* c c))) (*.f64 (neg.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 b) c (*.f64 a d)) (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c d) (/.f64 b d) (/.f64 (neg.f64 a) d))) |
(*.f64 (fma.f64 a d (*.f64 b c)) (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) #s(approx (* (+ (* a d) (* b c)) (+ (* d d) (* c c))) (*.f64 (*.f64 (fma.f64 c b (*.f64 d a)) d) d)))) |
(*.f64 (fma.f64 a d (*.f64 b c)) (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 d d (*.f64 c c))))) |
| Outputs |
|---|
#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)) |
(/.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
2 calls:
| 38.0ms | c |
| 10.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.1% | 4 | c |
| 82.4% | 5 | d |
Compiled 2 to 8 computations (-300% saved)
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) d) a)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 d a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (/.f64 (*.f64 (neg.f64 d) a) (*.f64 c c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 (/.f64 c d) d) b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ b (+ (* c c) (* d d))) (/.f64 (/.f64 b c) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- (/ (* c b) d) a) (/.f64 (*.f64 c b) d)) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (/.f64 (neg.f64 a) c) c) d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (/.f64 (*.f64 (/.f64 (neg.f64 a) c) d) c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) |
(/.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) #s(approx (neg (+ (* d d) (* c c))) (*.f64 (neg.f64 c) c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.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)) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
1 calls:
| 9.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.0% | 4 | c |
Compiled 1 to 4 computations (-300% saved)
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) d) a)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 d a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (/.f64 (*.f64 (neg.f64 d) a) (*.f64 c c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 (/.f64 c d) d) b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ b (+ (* c c) (* d d))) (/.f64 (/.f64 b c) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- (/ (* c b) d) a) (/.f64 (*.f64 c b) d)) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (/.f64 (neg.f64 a) c) c) d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (/.f64 (*.f64 (/.f64 (neg.f64 a) c) d) c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) |
(/.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) #s(approx (neg (+ (* d d) (* c c))) (*.f64 (neg.f64 c) c))) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
2 calls:
| 31.0ms | c |
| 8.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.8% | 3 | d |
| 78.2% | 3 | c |
Compiled 2 to 8 computations (-300% saved)
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) d) a)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 d a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (/.f64 (*.f64 (neg.f64 d) a) (*.f64 c c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 (/.f64 c d) d) b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ b (+ (* c c) (* d d))) (/.f64 (/.f64 b c) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- (/ (* c b) d) a) (/.f64 (*.f64 c b) d)) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (/.f64 (neg.f64 a) c) c) d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (/.f64 (*.f64 (/.f64 (neg.f64 a) c) d) c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
(/.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 | c |
| 8.0ms | d |
| 7.0ms | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.0% | 4 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 75.5% | 4 | d |
| 71.2% | 4 | c |
Compiled 17 to 19 computations (-11.8% saved)
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) d) a)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 d a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (/.f64 (*.f64 (neg.f64 d) a) (*.f64 c c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 (/.f64 c d) d) b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ b (+ (* c c) (* d d))) (/.f64 (/.f64 b c) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- (/ (* c b) d) a) (/.f64 (*.f64 c b) d)) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (/.f64 (neg.f64 a) c) c) d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (/.f64 (*.f64 (/.f64 (neg.f64 a) c) d) c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) |
(/.f64 (-.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))) |
(/.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 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
4 calls:
| 39.0ms | a |
| 7.0ms | b |
| 7.0ms | c |
| 7.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.4% | 5 | a |
| 60.4% | 3 | b |
| 69.9% | 6 | c |
| 70.9% | 6 | d |
Compiled 4 to 16 computations (-300% saved)
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) d) a)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 d a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (/.f64 (*.f64 (neg.f64 d) a) (*.f64 c c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 (/.f64 c d) d) b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ b (+ (* c c) (* d d))) (/.f64 (/.f64 b c) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- (/ (* c b) d) a) (/.f64 (*.f64 c b) d)) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (/.f64 (neg.f64 a) c) c) d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (/.f64 (*.f64 (/.f64 (neg.f64 a) c) d) c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) |
(/.f64 (-.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)) |
(/.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 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
1 calls:
| 7.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.5% | 5 | d |
Compiled 1 to 4 computations (-300% saved)
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) d) a)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 d a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (/.f64 (*.f64 (neg.f64 d) a) (*.f64 c c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 (/.f64 c d) d) b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ b (+ (* c c) (* d d))) (/.f64 (/.f64 b c) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- (/ (* c b) d) a) (/.f64 (*.f64 c b) d)) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (/.f64 (neg.f64 a) c) c) d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (/.f64 (*.f64 (/.f64 (neg.f64 a) c) d) c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) |
| 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)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
2 calls:
| 7.0ms | c |
| 7.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.9% | 6 | c |
| 68.2% | 5 | d |
Compiled 2 to 8 computations (-300% saved)
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) d) a)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 d a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (/.f64 (*.f64 (neg.f64 d) a) (*.f64 c c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 (/.f64 c d) d) b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ b (+ (* c c) (* d d))) (/.f64 (/.f64 b c) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- (/ (* c b) d) a) (/.f64 (*.f64 c b) d)) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (/.f64 (neg.f64 a) c) c) d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (/.f64 (*.f64 (/.f64 (neg.f64 a) c) d) c))) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
2 calls:
| 27.0ms | c |
| 6.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.2% | 5 | c |
| 62.9% | 3 | d |
Compiled 2 to 8 computations (-300% saved)
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) d) a)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 d a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (/.f64 (*.f64 (neg.f64 d) a) (*.f64 c c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* c c) (* d d)) (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 (/.f64 c d) d) b))) |
| 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 | d |
| 5.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.9% | 3 | d |
| 62.3% | 3 | c |
Compiled 2 to 8 computations (-300% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
5 calls:
| 3.0ms | d |
| 1.0ms | c |
| 1.0ms | a |
| 1.0ms | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 1.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 42.4% | 1 | a |
| 42.4% | 1 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 42.4% | 1 | b |
| 42.4% | 1 | c |
| 42.4% | 1 | d |
Compiled 19 to 27 computations (-42.1% saved)
| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0483348479391265e+114 | 1.0658372834228655e+114 |
| 17.0ms | 3.273164132359599e-147 | 1.392371346918599e-140 |
| 16.0ms | -1.2131615110857226e-147 | -1.5813696856260084e-158 |
| 15.0ms | -4.3467516357678845e+143 | -1.1411559870345094e+138 |
| 29.0ms | 448× | 0 | valid |
Compiled 1 042 to 762 computations (26.9% saved)
ival-mult: 11.0ms (63.3% of total)ival-div: 3.0ms (17.3% 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 |
|---|---|---|
| 6.0ms | 2.0424378287952295e+124 | 3.2956991684136395e+124 |
| 11.0ms | 1.1513803291000398e-30 | 2.1554448709746754e-29 |
| 13.0ms | -2.891365903091058e-143 | -7.489328587084923e-148 |
| 18.0ms | -1.879909719771786e+59 | -8.323999997249999e+48 |
| 32.0ms | 464× | 0 | valid |
Compiled 870 to 692 computations (20.5% saved)
ival-mult: 14.0ms (69.3% of total)ival-div: 3.0ms (14.8% of total)ival-sub: 2.0ms (9.9% of total)ival-add: 2.0ms (9.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 6.449130980982619e+137 | 1.2159908538568987e+141 |
| 1.0ms | 3.273164132359599e-147 | 1.392371346918599e-140 |
| 11.0ms | -3.1678221531890014e-34 | -4.1158790240605744e-36 |
| 15.0ms | 240× | 0 | valid |
Compiled 583 to 532 computations (8.7% saved)
ival-mult: 6.0ms (65.7% of total)ival-sub: 1.0ms (10.9% of total)ival-div: 1.0ms (10.9% of total)ival-add: 1.0ms (10.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 6.449130980982619e+137 | 1.2159908538568987e+141 |
| 1.0ms | 3.273164132359599e-147 | 1.392371346918599e-140 |
| 2.0ms | -3.1678221531890014e-34 | -4.1158790240605744e-36 |
Compiled 583 to 532 computations (8.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 5.9450343064895406e-55 | 1.2650687922934495e-51 |
| 1.0ms | -3.1678221531890014e-34 | -4.1158790240605744e-36 |
| 8.0ms | 128× | 0 | valid |
Compiled 318 to 318 computations (0% saved)
ival-mult: 3.0ms (62.9% of total)ival-div: 1.0ms (21% of total)ival-add: 1.0ms (21% of total)ival-sub: 0.0ms (0% 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 |
|---|---|---|
| 11.0ms | 2.087739012008016e+122 | 2.0424378287952295e+124 |
| 14.0ms | -1.0277165122232405e-59 | -7.617394089310786e-62 |
| 10.0ms | -1.879909719771786e+59 | -8.323999997249999e+48 |
| 23.0ms | 320× | 0 | valid |
Compiled 447 to 481 computations (-7.6% saved)
ival-mult: 7.0ms (57.8% of total)ival-div: 2.0ms (16.5% of total)ival-sub: 1.0ms (8.3% of total)ival-add: 1.0ms (8.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 5× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 3.0ms | 2.0424378287952295e+124 | 3.2956991684136395e+124 |
| 9.0ms | 4.74202724653317e-115 | 5.6195473314082414e-114 |
| 12.0ms | -7.489328587084923e-148 | -9.761699584231059e-150 |
| 2.0ms | -1.0277165122232405e-59 | -7.617394089310786e-62 |
| 1.0ms | -1.879909719771786e+59 | -8.323999997249999e+48 |
| 16.0ms | 256× | 0 | valid |
Compiled 632 to 672 computations (-6.3% saved)
ival-mult: 6.0ms (61.4% of total)ival-sub: 1.0ms (10.2% of total)ival-div: 1.0ms (10.2% of total)ival-add: 1.0ms (10.2% 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 |
|---|---|---|
| 0.0ms | 2.0424378287952295e+124 | 3.2956991684136395e+124 |
| 0.0ms | 4.74202724653317e-115 | 5.6195473314082414e-114 |
| 1.0ms | -7.489328587084923e-148 | -9.761699584231059e-150 |
| 12.0ms | -1.0501886732453336e-52 | -2.4793111758273173e-54 |
| 8.0ms | 112× | 0 | valid |
Compiled 413 to 461 computations (-11.6% saved)
ival-mult: 4.0ms (75.1% of total)ival-div: 1.0ms (18.8% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.0424378287952295e+124 | 3.2956991684136395e+124 |
| 0.0ms | 4.74202724653317e-115 | 5.6195473314082414e-114 |
| 14.0ms | -4.873661597300487e-95 | -5.012119479885948e-99 |
| 17.0ms | -4.142775464475054e+154 | -1.8994453251876903e+135 |
| 20.0ms | 304× | 0 | valid |
Compiled 497 to 555 computations (-11.7% saved)
ival-mult: 7.0ms (60.2% of total)ival-div: 2.0ms (17.2% of total)ival-sub: 1.0ms (8.6% of total)ival-add: 1.0ms (8.6% 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 | 3.088592850115264e+111 | 1.0483348479391265e+114 |
| 11.0ms | 2.4105679766598096e-116 | 1.652559871430897e-114 |
| 2.0ms | -3.1678221531890014e-34 | -4.1158790240605744e-36 |
| 26.0ms | -4.3467516357678845e+143 | -1.1411559870345094e+138 |
| 37.0ms | 384× | 0 | valid |
Compiled 497 to 559 computations (-12.5% saved)
ival-mult: 9.0ms (62.9% of total)ival-sub: 2.0ms (14% of total)ival-div: 2.0ms (14% of total)ival-add: 1.0ms (7% 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 |
|---|---|---|
| 4.0ms | 1.1513803291000398e-30 | 2.1554448709746754e-29 |
| 13.0ms | -8.395959295623023e-39 | -2.62572134478205e-40 |
| 11.0ms | 144× | 0 | valid |
Compiled 144 to 228 computations (-58.3% saved)
ival-mult: 3.0ms (55.2% of total)ival-sub: 1.0ms (18.4% of total)ival-div: 1.0ms (18.4% of total)ival-add: 1.0ms (18.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 48× | *-commutative-binary64-*.f64 |
| 44× | +-commutative-binary64-+.f64 |
| 42× | sub-neg-binary64-neg.f64-+.f64--.f64 |
| 34× | neg-sub0-binary64--.f64-neg.f64 |
| 34× | neg-mul-1-binary64-*.f64-neg.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 158 | 1317 |
| 1 | 193 | 1317 |
| 2 | 242 | 1317 |
| 3 | 275 | 1317 |
| 4 | 293 | 1317 |
| 5 | 298 | 1317 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 c #s(literal -1150000000000000037767796862585664990835064451313553449839160440197559057933606194875601512971886524586541930501970800915445764229343215616 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 a (pow.f64 c #s(literal 4 binary64))) d) (/.f64 b (pow.f64 c #s(literal 3 binary64)))) d (/.f64 (/.f64 (neg.f64 a) c) c)) d (/.f64 b c))) (if (<=.f64 c #s(literal -3599131035634557/14396524142538228424993723224595141948383030778566133225922417832357880258148761185020930195532450742879746914027266864394266451377581759004827248578768524336431104 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (fma.f64 (/.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) a) c (/.f64 (neg.f64 d) (fma.f64 c c (*.f64 d d)))) a)) (if (<=.f64 c #s(literal 632659752357637/7029552803973744348141466418259346654483901747346744739219930582205996219799199797373501072037329464296751422864876398630012915711709843264075804970101818523648 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) (if (<=.f64 c #s(literal 1050000000000000016337386935940185175481611466767114505038259109452375470222993488428234659410799820060016594911232 binary64)) (/.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (neg.f64 (fma.f64 d d (*.f64 c c)))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 a (pow.f64 c #s(literal 4 binary64))) d) (/.f64 b (pow.f64 c #s(literal 3 binary64)))) d (/.f64 (/.f64 (neg.f64 a) c) c)) d (/.f64 b c))))))) |
(if (<=.f64 d #s(literal -279999999999999998101865628821255833409278363744337920 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c d) (/.f64 b d) (/.f64 (neg.f64 a) d))) (if (<=.f64 d #s(literal -2284604661291467/1757388200993436087035366604564836663620975436836686184804982645551499054949799949343375268009332366074187855716219099657503228927927460816018951242525454630912 binary64)) (/.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (neg.f64 (fma.f64 d d (*.f64 c c)))) (if (<=.f64 d #s(literal 8563486156235759/2854495385411919762116571938898990272765493248 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 32500000000000000376453351945868539850078519416836682847593902787305906347962439203253643684821705903363524960166248437514240 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (fma.f64 (/.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) a) c (/.f64 (neg.f64 d) (fma.f64 c c (*.f64 d d)))) a)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c d) (/.f64 b d) (/.f64 (neg.f64 a) d))))))) |
(if (<=.f64 c #s(literal -5799238496929023/187072209578355573530071658587684226515959365500928 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) (if (<=.f64 c #s(literal 632659752357637/7029552803973744348141466418259346654483901747346744739219930582205996219799199797373501072037329464296751422864876398630012915711709843264075804970101818523648 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) (if (<=.f64 c #s(literal 669999999999999988951048428254870525325533017822387844573015847379299530389748193294191319655010075238785646219731789458133887473753784320 binary64)) (/.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (neg.f64 (fma.f64 d d (*.f64 c c)))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c))))) |
(if (<=.f64 c #s(literal -5799238496929023/187072209578355573530071658587684226515959365500928 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) (if (<=.f64 c #s(literal 632659752357637/7029552803973744348141466418259346654483901747346744739219930582205996219799199797373501072037329464296751422864876398630012915711709843264075804970101818523648 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) (if (<=.f64 c #s(literal 669999999999999988951048428254870525325533017822387844573015847379299530389748193294191319655010075238785646219731789458133887473753784320 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c))))) |
(if (<=.f64 c #s(literal -5799238496929023/187072209578355573530071658587684226515959365500928 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) (if (<=.f64 c #s(literal 1684996666696915/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) #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)))) |
(if (<=.f64 d #s(literal -679999999999999995390245098565907023993961740521963520 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 d #s(literal -5608679322432503/1809251394333065553493296640760748560207343510400633813116524750123642650624 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) (if (<=.f64 d #s(literal 210000000000000015868841242865907974745131924401632520789559800706922039775662376983180947109540482961165315501625935134720 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 -679999999999999995390245098565907023993961740521963520 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 d #s(literal -633237988016573/226156424291633194186662080095093570025917938800079226639565593765455331328 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) (if (<=.f64 d #s(literal -3339993601068869/230344386280611654799899571593522271174128492457058131614758685317726084130380178960334883128519211886075950624436269830308263222041308144077235977260296389382897664 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (if (<=.f64 d #s(literal 1317018104707387/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 d #s(literal 26999999999999997783546157090901156917547665742393676268804497337417353742763133995708692322427401174195391706387203129081856 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))))))) |
(if (<=.f64 d #s(literal -1725436586697641/431359146674410236714672241392314090778194310760649159697657763987456 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 d #s(literal -3339993601068869/230344386280611654799899571593522271174128492457058131614758685317726084130380178960334883128519211886075950624436269830308263222041308144077235977260296389382897664 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (if (<=.f64 d #s(literal 1317018104707387/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 d #s(literal 26999999999999997783546157090901156917547665742393676268804497337417353742763133995708692322427401174195391706387203129081856 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)))))) |
(if (<=.f64 d #s(literal -1299999999999999935905125042608528024070569499276670001017534653649590958815701108287851124338230693249026350807211601062882461692784770903103766528 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 d #s(literal -6618305728300635/76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568 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 1317018104707387/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 d #s(literal 26999999999999997783546157090901156917547665742393676268804497337417353742763133995708692322427401174195391706387203129081856 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)))))) |
(if (<=.f64 c #s(literal -1000000000000000016976219238238959704141045173573106739630601035115997744067216908958262325956255112879408454231155599236459402033650892537856 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 c #s(literal -315684353663475/11692013098647223345629478661730264157247460343808 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d))))) (if (<=.f64 c #s(literal 7208941204714119/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 c #s(literal 1019999999999999988529970392268530830097287585889215595122548105874295001465918237205872607721149356335815693697024 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d))))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)))))) |
(if (<=.f64 d #s(literal -344811496694825/191561942608236107294793378393788647952342390272950272 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 d #s(literal 8848935694776951/2854495385411919762116571938898990272765493248 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 c #s(literal -1150000000000000037767796862585664990835064451313553449839160440197559057933606194875601512971886524586541930501970800915445764229343215616 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 a (pow.f64 c #s(literal 4 binary64))) d) (/.f64 b (pow.f64 c #s(literal 3 binary64)))) d (/.f64 (/.f64 (neg.f64 a) c) c)) d (/.f64 b c))) (if (<=.f64 c #s(literal -3599131035634557/14396524142538228424993723224595141948383030778566133225922417832357880258148761185020930195532450742879746914027266864394266451377581759004827248578768524336431104 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (fma.f64 (/.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) a) c (/.f64 (neg.f64 d) (fma.f64 c c (*.f64 d d)))) a)) (if (<=.f64 c #s(literal 632659752357637/7029552803973744348141466418259346654483901747346744739219930582205996219799199797373501072037329464296751422864876398630012915711709843264075804970101818523648 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) (if (<=.f64 c #s(literal 1050000000000000016337386935940185175481611466767114505038259109452375470222993488428234659410799820060016594911232 binary64)) (/.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (neg.f64 (fma.f64 d d (*.f64 c c)))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 a (pow.f64 c #s(literal 4 binary64))) d) (/.f64 b (pow.f64 c #s(literal 3 binary64)))) d (/.f64 (/.f64 (neg.f64 a) c) c)) d (/.f64 b c))))))) |
(if (<=.f64 c #s(literal -1150000000000000037767796862585664990835064451313553449839160440197559057933606194875601512971886524586541930501970800915445764229343215616 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 a (pow.f64 c #s(literal 4 binary64))) d) (/.f64 b (pow.f64 c #s(literal 3 binary64)))) d (/.f64 (/.f64 (neg.f64 a) c) c)) d (/.f64 b c))) (if (<=.f64 c #s(literal -3599131035634557/14396524142538228424993723224595141948383030778566133225922417832357880258148761185020930195532450742879746914027266864394266451377581759004827248578768524336431104 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (fma.f64 (/.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) a) c (/.f64 (neg.f64 d) (fma.f64 c c (*.f64 d d)))) a)) (if (<=.f64 c #s(literal 632659752357637/7029552803973744348141466418259346654483901747346744739219930582205996219799199797373501072037329464296751422864876398630012915711709843264075804970101818523648 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) (if (<=.f64 c #s(literal 1050000000000000016337386935940185175481611466767114505038259109452375470222993488428234659410799820060016594911232 binary64)) (/.f64 (fma.f64 (neg.f64 b) c (*.f64 d a)) (neg.f64 (fma.f64 d d (*.f64 c c)))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 a (pow.f64 c #s(literal 4 binary64))) d) (/.f64 b (pow.f64 c #s(literal 3 binary64)))) d (/.f64 (/.f64 (neg.f64 a) c) c)) d (/.f64 b c))))))) |
(if (<=.f64 d #s(literal -279999999999999998101865628821255833409278363744337920 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c d) (/.f64 b d) (/.f64 (neg.f64 a) d))) (if (<=.f64 d #s(literal -2284604661291467/1757388200993436087035366604564836663620975436836686184804982645551499054949799949343375268009332366074187855716219099657503228927927460816018951242525454630912 binary64)) (/.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (neg.f64 (fma.f64 d d (*.f64 c c)))) (if (<=.f64 d #s(literal 8563486156235759/2854495385411919762116571938898990272765493248 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 32500000000000000376453351945868539850078519416836682847593902787305906347962439203253643684821705903363524960166248437514240 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (fma.f64 (/.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) a) c (/.f64 (neg.f64 d) (fma.f64 c c (*.f64 d d)))) a)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c d) (/.f64 b d) (/.f64 (neg.f64 a) d))))))) |
(if (<=.f64 d #s(literal -279999999999999998101865628821255833409278363744337920 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c d) (/.f64 b d) (/.f64 (neg.f64 a) d))) (if (<=.f64 d #s(literal -2284604661291467/1757388200993436087035366604564836663620975436836686184804982645551499054949799949343375268009332366074187855716219099657503228927927460816018951242525454630912 binary64)) (/.f64 (fma.f64 (neg.f64 b) c (*.f64 d a)) (neg.f64 (fma.f64 d d (*.f64 c c)))) (if (<=.f64 d #s(literal 8563486156235759/2854495385411919762116571938898990272765493248 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) (if (<=.f64 d #s(literal 32500000000000000376453351945868539850078519416836682847593902787305906347962439203253643684821705903363524960166248437514240 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (fma.f64 (/.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) a) c (/.f64 (neg.f64 d) (fma.f64 c c (*.f64 d d)))) a)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 c d) (/.f64 b d) (/.f64 (neg.f64 a) d))))))) |
(if (<=.f64 c #s(literal -5799238496929023/187072209578355573530071658587684226515959365500928 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) (if (<=.f64 c #s(literal 632659752357637/7029552803973744348141466418259346654483901747346744739219930582205996219799199797373501072037329464296751422864876398630012915711709843264075804970101818523648 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) (if (<=.f64 c #s(literal 669999999999999988951048428254870525325533017822387844573015847379299530389748193294191319655010075238785646219731789458133887473753784320 binary64)) (/.f64 (fma.f64 (neg.f64 b) c (*.f64 a d)) (neg.f64 (fma.f64 d d (*.f64 c c)))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c))))) |
(if (<=.f64 c #s(literal -5799238496929023/187072209578355573530071658587684226515959365500928 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) (if (<=.f64 c #s(literal 632659752357637/7029552803973744348141466418259346654483901747346744739219930582205996219799199797373501072037329464296751422864876398630012915711709843264075804970101818523648 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) (if (<=.f64 c #s(literal 669999999999999988951048428254870525325533017822387844573015847379299530389748193294191319655010075238785646219731789458133887473753784320 binary64)) (/.f64 (fma.f64 (neg.f64 b) c (*.f64 d a)) (neg.f64 (fma.f64 d d (*.f64 c c)))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c))))) |
(if (<=.f64 c #s(literal -5799238496929023/187072209578355573530071658587684226515959365500928 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) (if (<=.f64 c #s(literal 632659752357637/7029552803973744348141466418259346654483901747346744739219930582205996219799199797373501072037329464296751422864876398630012915711709843264075804970101818523648 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) (if (<=.f64 c #s(literal 669999999999999988951048428254870525325533017822387844573015847379299530389748193294191319655010075238785646219731789458133887473753784320 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c))))) |
(if (<=.f64 c #s(literal -5799238496929023/187072209578355573530071658587684226515959365500928 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) (if (<=.f64 c #s(literal 632659752357637/7029552803973744348141466418259346654483901747346744739219930582205996219799199797373501072037329464296751422864876398630012915711709843264075804970101818523648 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) (if (<=.f64 c #s(literal 669999999999999988951048428254870525325533017822387844573015847379299530389748193294191319655010075238785646219731789458133887473753784320 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 d a)) (+.f64 (*.f64 c c) (*.f64 d d))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c))))) |
(if (<=.f64 c #s(literal -5799238496929023/187072209578355573530071658587684226515959365500928 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) (if (<=.f64 c #s(literal 1684996666696915/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) #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)))) |
(if (<=.f64 c #s(literal -5799238496929023/187072209578355573530071658587684226515959365500928 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) (if (<=.f64 c #s(literal 1684996666696915/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) #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 d a) c)) c)))) |
(if (<=.f64 d #s(literal -679999999999999995390245098565907023993961740521963520 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 d #s(literal -5608679322432503/1809251394333065553493296640760748560207343510400633813116524750123642650624 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) (if (<=.f64 d #s(literal 210000000000000015868841242865907974745131924401632520789559800706922039775662376983180947109540482961165315501625935134720 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 -679999999999999995390245098565907023993961740521963520 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 d #s(literal -5608679322432503/1809251394333065553493296640760748560207343510400633813116524750123642650624 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 d a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) (if (<=.f64 d #s(literal 210000000000000015868841242865907974745131924401632520789559800706922039775662376983180947109540482961165315501625935134720 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))))) |
(if (<=.f64 d #s(literal -679999999999999995390245098565907023993961740521963520 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 d #s(literal -633237988016573/226156424291633194186662080095093570025917938800079226639565593765455331328 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) (if (<=.f64 d #s(literal -3339993601068869/230344386280611654799899571593522271174128492457058131614758685317726084130380178960334883128519211886075950624436269830308263222041308144077235977260296389382897664 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (if (<=.f64 d #s(literal 1317018104707387/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 d #s(literal 26999999999999997783546157090901156917547665742393676268804497337417353742763133995708692322427401174195391706387203129081856 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))))))) |
(if (<=.f64 d #s(literal -679999999999999995390245098565907023993961740521963520 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 d #s(literal -633237988016573/226156424291633194186662080095093570025917938800079226639565593765455331328 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 d a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) (if (<=.f64 d #s(literal -3339993601068869/230344386280611654799899571593522271174128492457058131614758685317726084130380178960334883128519211886075950624436269830308263222041308144077235977260296389382897664 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 d a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (if (<=.f64 d #s(literal 1317018104707387/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 d #s(literal 26999999999999997783546157090901156917547665742393676268804497337417353742763133995708692322427401174195391706387203129081856 binary64)) #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 (neg.f64 a) d))))))) |
(if (<=.f64 d #s(literal -1725436586697641/431359146674410236714672241392314090778194310760649159697657763987456 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 d #s(literal -3339993601068869/230344386280611654799899571593522271174128492457058131614758685317726084130380178960334883128519211886075950624436269830308263222041308144077235977260296389382897664 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (if (<=.f64 d #s(literal 1317018104707387/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 d #s(literal 26999999999999997783546157090901156917547665742393676268804497337417353742763133995708692322427401174195391706387203129081856 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)))))) |
(if (<=.f64 d #s(literal -1725436586697641/431359146674410236714672241392314090778194310760649159697657763987456 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 d #s(literal -3339993601068869/230344386280611654799899571593522271174128492457058131614758685317726084130380178960334883128519211886075950624436269830308263222041308144077235977260296389382897664 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 d a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (if (<=.f64 d #s(literal 1317018104707387/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 d #s(literal 26999999999999997783546157090901156917547665742393676268804497337417353742763133995708692322427401174195391706387203129081856 binary64)) #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 (neg.f64 a) d)))))) |
(if (<=.f64 d #s(literal -1299999999999999935905125042608528024070569499276670001017534653649590958815701108287851124338230693249026350807211601062882461692784770903103766528 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 d #s(literal -6618305728300635/76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568 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 1317018104707387/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 d #s(literal 26999999999999997783546157090901156917547665742393676268804497337417353742763133995708692322427401174195391706387203129081856 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)))))) |
(if (<=.f64 d #s(literal -1299999999999999935905125042608528024070569499276670001017534653649590958815701108287851124338230693249026350807211601062882461692784770903103766528 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 d #s(literal -6618305728300635/76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a))) (if (<=.f64 d #s(literal 1317018104707387/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 d #s(literal 26999999999999997783546157090901156917547665742393676268804497337417353742763133995708692322427401174195391706387203129081856 binary64)) #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 (neg.f64 a) d)))))) |
(if (<=.f64 c #s(literal -1000000000000000016976219238238959704141045173573106739630601035115997744067216908958262325956255112879408454231155599236459402033650892537856 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 c #s(literal -315684353663475/11692013098647223345629478661730264157247460343808 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d))))) (if (<=.f64 c #s(literal 7208941204714119/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 c #s(literal 1019999999999999988529970392268530830097287585889215595122548105874295001465918237205872607721149356335815693697024 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d))))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)))))) |
(if (<=.f64 c #s(literal -1000000000000000016976219238238959704141045173573106739630601035115997744067216908958262325956255112879408454231155599236459402033650892537856 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 c #s(literal -315684353663475/11692013098647223345629478661730264157247460343808 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b)) (if (<=.f64 c #s(literal 7208941204714119/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 c #s(literal 1019999999999999988529970392268530830097287585889215595122548105874295001465918237205872607721149356335815693697024 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)))))) |
(if (<=.f64 d #s(literal -344811496694825/191561942608236107294793378393788647952342390272950272 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 d #s(literal 8848935694776951/2854495385411919762116571938898990272765493248 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)) |
| 10 996× | lower-fma.f64 |
| 10 996× | lower-fma.f32 |
| 7 930× | lower-fma.f64 |
| 7 930× | lower-fma.f32 |
| 6 632× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 919 | 12175 |
| 1 | 3130 | 11073 |
| 0 | 8606 | 10517 |
| 0 | 191 | 1511 |
| 1 | 623 | 1461 |
| 2 | 1861 | 1441 |
| 3 | 5489 | 1432 |
| 0 | 8501 | 1356 |
| 0 | 11 | 35 |
| 0 | 18 | 35 |
| 1 | 65 | 35 |
| 2 | 505 | 35 |
| 3 | 6376 | 35 |
| 0 | 8178 | 33 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 024 to 445 computations (56.5% saved)
Compiled 1 422 to 366 computations (74.3% saved)
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