
Time bar (total: 9.4s)
| 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)
| 1.0s | 8 256× | 0 | valid |
ival-mult: 275.0ms (69.3% of total)ival-div: 46.0ms (11.6% of total)ival-sub: 33.0ms (8.3% of total)ival-add: 32.0ms (8.1% of total)ival-true: 6.0ms (1.5% of total)ival-assert: 3.0ms (0.8% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 111 | 0 | - | 2 | (-4.3616073937336135e+63 -8.555033305593582e-187 3.425951941371607e-161 4.0780332336260603e-219) | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 3 | 0 | - | 0 | - | (-.f64 (*.f64 b c) (*.f64 a d)) |
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 c c) (*.f64 d d)) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | d |
| 0 | 0 | - | 0 | - | (*.f64 d d) |
| 0 | 0 | - | 0 | - | (*.f64 c c) |
| 0 | 0 | - | 0 | - | (*.f64 b c) |
| 0 | 0 | - | 0 | - | c |
| 0 | 0 | - | 0 | - | (*.f64 a d) |
| 0 | 0 | - | 0 | - | b |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) | o/o | 54 | 0 |
| ↳ | (*.f64 b c) | overflow | 37 | |
| ↳ | (-.f64 (*.f64 b c) (*.f64 a d)) | overflow | 62 | |
| ↳ | (*.f64 a d) | overflow | 30 | |
| ↳ | (+.f64 (*.f64 c c) (*.f64 d d)) | overflow | 117 | |
| ↳ | (*.f64 c c) | overflow | 67 | |
| ↳ | (*.f64 d d) | overflow | 61 | |
/.f64 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) | n/o | 37 | 0 |
| ↳ | (+.f64 (*.f64 c c) (*.f64 d d)) | overflow | 117 | |
| ↳ | (*.f64 c c) | overflow | 67 | |
| ↳ | (*.f64 d d) | overflow | 61 | |
/.f64 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) | o/n | 8 | 0 |
| ↳ | (*.f64 b c) | overflow | 37 | |
| ↳ | (-.f64 (*.f64 b c) (*.f64 a d)) | overflow | 62 | |
| ↳ | (*.f64 a d) | overflow | 30 | |
/.f64 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) | u/n | 4 | 0 |
| ↳ | (*.f64 b c) | underflow | 22 | |
| ↳ | (-.f64 (*.f64 b c) (*.f64 a d)) | underflow | 7 | |
| ↳ | (*.f64 a d) | underflow | 32 | |
/.f64 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) | n/u | 3 | 0 |
| ↳ | (+.f64 (*.f64 c c) (*.f64 d d)) | underflow | 10 | |
| ↳ | (*.f64 c c) | underflow | 53 | |
| ↳ | (*.f64 d d) | underflow | 61 | |
-.f64 | (-.f64 (*.f64 b c) (*.f64 a d)) | nan-rescue | 3 | 0 |
| ↳ | (*.f64 b c) | overflow | 37 | |
| ↳ | (*.f64 a d) | overflow | 30 | |
/.f64 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) | u/u | 3 | 0 |
| ↳ | (*.f64 b c) | underflow | 22 | |
| ↳ | (-.f64 (*.f64 b c) (*.f64 a d)) | underflow | 7 | |
| ↳ | (*.f64 a d) | underflow | 32 | |
| ↳ | (+.f64 (*.f64 c c) (*.f64 d d)) | underflow | 10 | |
| ↳ | (*.f64 c c) | underflow | 53 | |
| ↳ | (*.f64 d d) | underflow | 61 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 109 | 2 |
| - | 0 | 145 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 109 | 0 | 2 |
| - | 0 | 0 | 145 |
| number | freq |
|---|---|
| 0 | 147 |
| 1 | 106 |
| 2 | 3 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 64.0ms | 512× | 0 | valid |
Compiled 113 to 37 computations (67.3% saved)
ival-mult: 13.0ms (62.9% of total)ival-div: 3.0ms (14.5% of total)ival-sub: 2.0ms (9.7% of total)ival-add: 2.0ms (9.7% 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 a (neg.f64 d) (*.f64 b c)) (fma.f64 c c (*.f64 d d))) |
Compiled 19 to 11 computations (42.1% saved)
Compiled 4 to 4 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 58.4% | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
Compiled 19 to 11 computations (42.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 b c) | |
| cost-diff | 0 | (-.f64 (*.f64 b c) (*.f64 a d)) | |
| cost-diff | 0 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) | |
| cost-diff | 128 | (+.f64 (*.f64 c c) (*.f64 d d)) |
| 752× | lower-fma.f64 |
| 752× | lower-fma.f32 |
| 636× | times-frac |
| 512× | lower-*.f32 |
| 504× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 45 |
| 0 | 18 | 45 |
| 1 | 29 | 45 |
| 2 | 51 | 45 |
| 3 | 81 | 45 |
| 4 | 140 | 45 |
| 5 | 239 | 45 |
| 6 | 382 | 45 |
| 7 | 630 | 45 |
| 8 | 1092 | 45 |
| 9 | 1766 | 45 |
| 10 | 2007 | 45 |
| 11 | 2047 | 45 |
| 12 | 2075 | 45 |
| 13 | 2075 | 45 |
| 0 | 2075 | 43 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(-.f64 (*.f64 b c) (*.f64 a d)) |
(*.f64 b c) |
b |
c |
(*.f64 a d) |
a |
d |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(*.f64 c c) |
(*.f64 d d) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 (fma.f64 a (neg.f64 d) (*.f64 b c)) (fma.f64 c c (*.f64 d d))) |
(-.f64 (*.f64 b c) (*.f64 a d)) |
(fma.f64 a (neg.f64 d) (*.f64 b c)) |
(*.f64 b c) |
b |
c |
(*.f64 a d) |
a |
d |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(fma.f64 c c (*.f64 d d)) |
(*.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 | 0.6679666858302059 | (-.f64 (*.f64 b c) (*.f64 a d)) | |
| accuracy | 26.39485969538741 | (/.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: 9.0ms (68.8% of total)ival-sub: 1.0ms (7.6% of total)ival-div: 1.0ms (7.6% of total)ival-add: 1.0ms (7.6% 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 (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 (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 (pow c 2) (taylor 0 d) (#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 d) (#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 d) (#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 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) (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 (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) (+ (pow c 2) (pow d 2)))) (taylor 0 b) (#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) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) (taylor 0 b) (#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) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) (taylor 0 b) (#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) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) (taylor 0 b) (#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) (+ (pow c 2) (pow d 2))) (taylor inf b) (#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) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) (taylor inf b) (#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) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) (taylor inf b) (#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) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) (taylor inf b) (#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) (+ (pow c 2) (pow d 2))) (taylor -inf b) (#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 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) (taylor -inf b) (#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 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) (taylor -inf b) (#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 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) (taylor -inf b) (#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 (*.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>) () ())) ()) |
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#s(alt (+ (* -1 (* a d)) (* b c)) (taylor 0 d) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* a d)) (* b c)) (taylor 0 d) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* a d)) (* b c)) (taylor 0 d) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a d)) (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 (* -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 (* b c) (taylor 0 b) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (* b c) (taylor 0 b) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (* b c) (taylor 0 b) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (* b c) (taylor 0 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>) () ())) ()) |
#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>) () ())) ()) |
#s(alt (* b c) (taylor -inf b) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (* b c) (taylor 0 c) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (* b c) (taylor 0 c) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (* b c) (taylor 0 c) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (* b c) (taylor 0 c) (#s(alt (*.f64 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 (* 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 (* b c) (taylor -inf c) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor 0 a) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor 0 a) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor 0 a) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor 0 a) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor inf a) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor inf a) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor inf a) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor inf a) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor -inf a) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor -inf a) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor -inf a) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor -inf a) (#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 (* a d) (taylor 0 d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor -inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor -inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor -inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor -inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
42 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 25.0ms | b | @ | inf | (* b c) |
| 1.0ms | b | @ | 0 | (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) |
| 1.0ms | c | @ | -inf | (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) |
| 1.0ms | a | @ | 0 | (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) |
| 1.0ms | a | @ | inf | (/ (- (* b c) (* a d)) (+ (* c c) (* d 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 | 1863 | 1441 |
| 3 | 5484 | 1432 |
| 0 | 8487 | 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)) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(pow c 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 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)))) |
(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) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(/ (* b c) (+ (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 (/ 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 (* -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) |
(* -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 c 2) (pow d 2))) |
(+ (* -1 (/ (* a 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) (+ (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)) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(* -1 (* a d)) |
(- (* b c) (* a d)) |
(- (* b c) (* a d)) |
(- (* b c) (* a d)) |
(* b c) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(* b c) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(* -1 (* a d)) |
(- (* b c) (* a d)) |
(- (* b c) (* a d)) |
(- (* b c) (* a d)) |
(* b c) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(* c (+ b (* -1 (/ (* 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)))) |
(* b c) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(* -1 (* a d)) |
(* a (- (/ (* b c) a) d)) |
(* a (- (/ (* b c) a) d)) |
(* a (- (/ (* b c) a) d)) |
(* -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)))) |
(* b c) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(* -1 (* a d)) |
(* d (- (/ (* b c) d) a)) |
(* d (- (/ (* b c) d) a)) |
(* d (- (/ (* b c) d) a)) |
(* -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)))) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
| Outputs |
|---|
(pow d 2) |
(*.f64 d d) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 d d (*.f64 c c)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 d d (*.f64 c c)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 d d (*.f64 c c)) |
(pow c 2) |
(*.f64 c c) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(fma.f64 d d (*.f64 c c)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(fma.f64 d d (*.f64 c c)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(fma.f64 d d (*.f64 c c)) |
(pow c 2) |
(*.f64 c c) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(fma.f64 d d (*.f64 c c)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(fma.f64 d d (*.f64 c c)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(fma.f64 d d (*.f64 c c)) |
(pow c 2) |
(*.f64 c c) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 d d (*.f64 c c)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 d d (*.f64 c c)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 d d (*.f64 c c)) |
(pow d 2) |
(*.f64 d d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(fma.f64 d d (*.f64 c c)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(fma.f64 d d (*.f64 c c)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(fma.f64 d d (*.f64 c c)) |
(pow d 2) |
(*.f64 d d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(fma.f64 d d (*.f64 c c)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(fma.f64 d d (*.f64 c c)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(fma.f64 d d (*.f64 c c)) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(-.f64 (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 d a) (fma.f64 d d (*.f64 c c)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(-.f64 (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 d a) (fma.f64 d d (*.f64 c c)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(-.f64 (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 d a) (fma.f64 d d (*.f64 c c)))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(-.f64 (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 d a) (fma.f64 d d (*.f64 c c)))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(-.f64 (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 d a) (fma.f64 d d (*.f64 c c)))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(-.f64 (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 d a) (fma.f64 d d (*.f64 c c)))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(-.f64 (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 d a) (fma.f64 d d (*.f64 c c)))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(-.f64 (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 d a) (fma.f64 d d (*.f64 c c)))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(-.f64 (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 d a) (fma.f64 d d (*.f64 c c)))) |
(* -1 (/ a d)) |
(/.f64 a (neg.f64 d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(/.f64 (-.f64 (/.f64 (fma.f64 c b (/.f64 (*.f64 c (*.f64 c a)) 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 (*.f64 c c) (-.f64 (/.f64 a (*.f64 d (*.f64 d d))) (/.f64 (*.f64 c b) (pow.f64 d #s(literal 4 binary64)))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) |
(/ b c) |
(/.f64 b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/.f64 (-.f64 b (/.f64 (fma.f64 d a (/.f64 (*.f64 (*.f64 d d) b) c)) c)) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(/.f64 (-.f64 b (/.f64 (fma.f64 d a (/.f64 (fma.f64 a (/.f64 (*.f64 d (*.f64 d (neg.f64 d))) c) (*.f64 (*.f64 d d) b)) c)) c)) c) |
(/ b c) |
(/.f64 b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(/.f64 (-.f64 b (/.f64 (fma.f64 d a (/.f64 (*.f64 (*.f64 d d) b) c)) c)) c) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) |
(/.f64 (-.f64 b (/.f64 (fma.f64 d a (/.f64 (fma.f64 a (/.f64 (*.f64 d (*.f64 d (neg.f64 d))) c) (*.f64 (*.f64 d d) b)) c)) c)) c) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(-.f64 (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 d a) (fma.f64 d d (*.f64 c c)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(-.f64 (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 d a) (fma.f64 d d (*.f64 c c)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(-.f64 (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 d a) (fma.f64 d d (*.f64 c c)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 a (-.f64 (*.f64 c (/.f64 b (*.f64 (fma.f64 d d (*.f64 c c)) a))) (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 a (-.f64 (*.f64 c (/.f64 b (*.f64 (fma.f64 d d (*.f64 c c)) a))) (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 a (-.f64 (*.f64 c (/.f64 b (*.f64 (fma.f64 d d (*.f64 c c)) a))) (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(*.f64 a (-.f64 (*.f64 c (/.f64 b (*.f64 (fma.f64 d d (*.f64 c c)) a))) (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(*.f64 a (-.f64 (*.f64 c (/.f64 b (*.f64 (fma.f64 d d (*.f64 c c)) a))) (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(*.f64 a (-.f64 (*.f64 c (/.f64 b (*.f64 (fma.f64 d d (*.f64 c c)) a))) (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(/ b c) |
(/.f64 b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(/.f64 (-.f64 b (/.f64 (fma.f64 d a (/.f64 (*.f64 (*.f64 d d) b) c)) c)) c) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(fma.f64 (*.f64 d d) (fma.f64 d (/.f64 a (pow.f64 c #s(literal 4 binary64))) (/.f64 (neg.f64 b) (*.f64 c (*.f64 c c)))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) |
(* -1 (/ a d)) |
(/.f64 a (neg.f64 d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/.f64 (-.f64 (/.f64 (fma.f64 c b (/.f64 (*.f64 c (*.f64 c a)) d)) d) a) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(/.f64 (-.f64 (/.f64 (fma.f64 c b (/.f64 (-.f64 (*.f64 c (*.f64 c a)) (*.f64 c (/.f64 (*.f64 (*.f64 c c) b) d))) d)) d) a) d) |
(* -1 (/ a d)) |
(/.f64 a (neg.f64 d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 c b (/.f64 (*.f64 c (*.f64 c a)) d)) d) a) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 c b (/.f64 (-.f64 (*.f64 c (*.f64 c a)) (*.f64 c (/.f64 (*.f64 (*.f64 c c) b) d))) d)) d) a) d) |
(* -1 (* a d)) |
(*.f64 a (neg.f64 d)) |
(- (* b c) (* a d)) |
(fma.f64 d (neg.f64 a) (*.f64 c b)) |
(- (* b c) (* a d)) |
(fma.f64 d (neg.f64 a) (*.f64 c b)) |
(- (* b c) (* a d)) |
(fma.f64 d (neg.f64 a) (*.f64 c b)) |
(* b c) |
(*.f64 c b) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(fma.f64 d (neg.f64 a) (*.f64 c b)) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(fma.f64 d (neg.f64 a) (*.f64 c b)) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(fma.f64 d (neg.f64 a) (*.f64 c b)) |
(* b c) |
(*.f64 c b) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(fma.f64 d (neg.f64 a) (*.f64 c b)) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(fma.f64 d (neg.f64 a) (*.f64 c b)) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(fma.f64 d (neg.f64 a) (*.f64 c b)) |
(* -1 (* a d)) |
(*.f64 a (neg.f64 d)) |
(- (* b c) (* a d)) |
(fma.f64 d (neg.f64 a) (*.f64 c b)) |
(- (* b c) (* a d)) |
(fma.f64 d (neg.f64 a) (*.f64 c b)) |
(- (* b c) (* a d)) |
(fma.f64 d (neg.f64 a) (*.f64 c b)) |
(* b c) |
(*.f64 c b) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(fma.f64 d (neg.f64 a) (*.f64 c b)) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(fma.f64 d (neg.f64 a) (*.f64 c b)) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(fma.f64 d (neg.f64 a) (*.f64 c b)) |
(* b c) |
(*.f64 c b) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(fma.f64 d (neg.f64 a) (*.f64 c b)) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(fma.f64 d (neg.f64 a) (*.f64 c b)) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(fma.f64 d (neg.f64 a) (*.f64 c b)) |
(* b c) |
(*.f64 c b) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 d (neg.f64 a) (*.f64 c b)) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 d (neg.f64 a) (*.f64 c b)) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 d (neg.f64 a) (*.f64 c b)) |
(* -1 (* a d)) |
(*.f64 a (neg.f64 d)) |
(* a (- (/ (* b c) a) d)) |
(*.f64 a (-.f64 (/.f64 (*.f64 c b) a) d)) |
(* a (- (/ (* b c) a) d)) |
(*.f64 a (-.f64 (/.f64 (*.f64 c b) a) d)) |
(* a (- (/ (* b c) a) d)) |
(*.f64 a (-.f64 (/.f64 (*.f64 c b) a) d)) |
(* -1 (* a d)) |
(*.f64 a (neg.f64 d)) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(*.f64 a (-.f64 (/.f64 (*.f64 c b) a) d)) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(*.f64 a (-.f64 (/.f64 (*.f64 c b) a) d)) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(*.f64 a (-.f64 (/.f64 (*.f64 c b) a) d)) |
(* b c) |
(*.f64 c b) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 d (neg.f64 a) (*.f64 c b)) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 d (neg.f64 a) (*.f64 c b)) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 d (neg.f64 a) (*.f64 c b)) |
(* -1 (* a d)) |
(*.f64 a (neg.f64 d)) |
(* d (- (/ (* b c) d) a)) |
(*.f64 d (fma.f64 c (/.f64 b d) (neg.f64 a))) |
(* d (- (/ (* b c) d) a)) |
(*.f64 d (fma.f64 c (/.f64 b d) (neg.f64 a))) |
(* d (- (/ (* b c) d) a)) |
(*.f64 d (fma.f64 c (/.f64 b d) (neg.f64 a))) |
(* -1 (* a d)) |
(*.f64 a (neg.f64 d)) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(*.f64 d (fma.f64 c (/.f64 b d) (neg.f64 a))) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(*.f64 d (fma.f64 c (/.f64 b d) (neg.f64 a))) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(*.f64 d (fma.f64 c (/.f64 b d) (neg.f64 a))) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
| 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 c c) (*.f64 d d)) |
(+.f64 (*.f64 d d) (*.f64 c c)) |
(+.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d))) (neg.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))))) |
(+.f64 (neg.f64 (*.f64 d (neg.f64 d))) (neg.f64 (neg.f64 (*.f64 c c)))) |
(+.f64 (neg.f64 (neg.f64 (*.f64 c c))) (neg.f64 (*.f64 d (neg.f64 d)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
(-.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d))) (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d)))) |
(-.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 d c))) (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 d c)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))) #s(literal 1 binary64))) |
(fma.f64 c c (*.f64 d d)) |
(fma.f64 c (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d))) (neg.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))))) |
(fma.f64 (*.f64 c c) (/.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d))) (neg.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))))) |
(fma.f64 d d (*.f64 c c)) |
(fma.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 c d) (-.f64 c d))) (neg.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))))) |
(fma.f64 (*.f64 c (*.f64 c c)) (/.f64 c (*.f64 (+.f64 c d) (-.f64 c d))) (neg.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))))) |
(fma.f64 (exp.f64 (log.f64 d)) (exp.f64 (log.f64 d)) (*.f64 c c)) |
(fma.f64 (exp.f64 (log.f64 c)) (exp.f64 (log.f64 c)) (*.f64 d d)) |
(fma.f64 (/.f64 c (+.f64 c d)) (/.f64 (*.f64 c (*.f64 c c)) (-.f64 c d)) (neg.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))))) |
(fma.f64 (/.f64 (*.f64 c c) (+.f64 c d)) (/.f64 (*.f64 c c) (-.f64 c d)) (neg.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))))) |
(fma.f64 (/.f64 (*.f64 c (*.f64 c c)) (+.f64 c d)) (/.f64 c (-.f64 c d)) (neg.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d)))) (fma.f64 d d (*.f64 c c)) (neg.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (fma.f64 c (*.f64 c c) (*.f64 d (*.f64 d d))) (-.f64 (*.f64 c (*.f64 c c)) (*.f64 d (*.f64 d d))))) (fma.f64 (*.f64 d d) (fma.f64 d d (*.f64 c c)) (*.f64 (*.f64 c c) (*.f64 c c))) (neg.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))))) |
(neg.f64 (neg.f64 (fma.f64 d d (*.f64 c c)))) |
(/.f64 (fma.f64 d d (*.f64 c c)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (fma.f64 d d (*.f64 c c))) #s(literal -1 binary64)) |
(/.f64 (fma.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c)))) (fma.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 d (*.f64 d (*.f64 d d))))) |
(/.f64 (fma.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 d (*.f64 d (*.f64 d d))))))) |
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))) |
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(*.f64 (fma.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b))) (*.f64 (*.f64 d (*.f64 d a)) (*.f64 a (*.f64 d a)))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (*.f64 d a)) (-.f64 (neg.f64 (*.f64 d a)) (*.f64 c b)) (*.f64 c (*.f64 b (*.f64 c b)))))) |
(*.f64 (fma.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b))) (*.f64 (*.f64 d (*.f64 d a)) (*.f64 a (*.f64 d a)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 b (*.f64 c b)) (*.f64 d (*.f64 a (fma.f64 c b (*.f64 d a)))))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 c (*.f64 b (*.f64 c b)) (*.f64 d (*.f64 a (fma.f64 c b (*.f64 d a))))) (/.f64 (-.f64 (*.f64 c b) (*.f64 d a)) (fma.f64 c (*.f64 b (*.f64 c b)) (*.f64 d (*.f64 a (fma.f64 c b (*.f64 d a))))))) |
(*.f64 (fma.f64 c (*.f64 b (*.f64 c b)) (*.f64 d (*.f64 a (fma.f64 c b (*.f64 d a))))) (*.f64 (-.f64 (*.f64 c b) (*.f64 d a)) (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 b (*.f64 c b)) (*.f64 d (*.f64 a (fma.f64 c b (*.f64 d a)))))))) |
(*.f64 #s(literal 1 binary64) (-.f64 (*.f64 c b) (*.f64 d a))) |
(*.f64 (*.f64 (-.f64 (*.f64 c b) (*.f64 d a)) (fma.f64 c b (*.f64 d a))) (/.f64 #s(literal 1 binary64) (fma.f64 c b (*.f64 d a)))) |
(*.f64 (*.f64 (-.f64 (*.f64 c b) (*.f64 d a)) (fma.f64 c b (*.f64 d a))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c b (*.f64 d a))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 c b (*.f64 d a)) (/.f64 (-.f64 (*.f64 c b) (*.f64 d a)) (fma.f64 c b (*.f64 d a)))) |
(*.f64 (fma.f64 c b (*.f64 d a)) (*.f64 (-.f64 (*.f64 c b) (*.f64 d a)) (/.f64 #s(literal 1 binary64) (fma.f64 c b (*.f64 d a))))) |
(*.f64 #s(literal -1 binary64) (-.f64 (*.f64 d a) (*.f64 c b))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b))) (*.f64 (*.f64 d (*.f64 d a)) (*.f64 a (*.f64 d a))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 c (*.f64 b (*.f64 c b)) (*.f64 d (*.f64 a (fma.f64 c b (*.f64 d a)))))))) |
(*.f64 (*.f64 (fma.f64 c b (*.f64 d a)) (-.f64 (*.f64 d a) (*.f64 c b))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 c b (*.f64 d a))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 b (*.f64 c b)) (*.f64 d (*.f64 a (fma.f64 c b (*.f64 d a)))))) (fma.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b))) (*.f64 (*.f64 d (*.f64 d a)) (*.f64 a (*.f64 d a))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c b (*.f64 d a))) (*.f64 (-.f64 (*.f64 c b) (*.f64 d a)) (fma.f64 c b (*.f64 d a)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 c b) (*.f64 d a)) (fma.f64 c b (*.f64 d a))) (fma.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b))) (*.f64 (*.f64 d (*.f64 d a)) (*.f64 a (*.f64 d a))))) (fma.f64 (*.f64 d a) (-.f64 (*.f64 d a) (*.f64 c b)) (*.f64 c (*.f64 b (*.f64 c b))))) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 c b) (*.f64 d a)) (fma.f64 c b (*.f64 d a))) (*.f64 (-.f64 (*.f64 c b) (*.f64 d a)) (fma.f64 c b (*.f64 d a)))) (-.f64 (*.f64 c b) (*.f64 d a))) |
(*.f64 (/.f64 (fma.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b))) (*.f64 (*.f64 d (*.f64 d a)) (*.f64 a (*.f64 d a)))) (fma.f64 (*.f64 c b) (*.f64 (*.f64 c (*.f64 b (*.f64 c b))) (*.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b))))) (*.f64 (*.f64 d (*.f64 a (fma.f64 c b (*.f64 d a)))) (*.f64 (*.f64 d a) (*.f64 (fma.f64 c b (*.f64 d a)) (*.f64 d (*.f64 a (fma.f64 c b (*.f64 d a))))))))) (fma.f64 (*.f64 d (*.f64 a (fma.f64 c b (*.f64 d a)))) (-.f64 (*.f64 d (*.f64 a (fma.f64 c b (*.f64 d a)))) (*.f64 c (*.f64 b (*.f64 c b)))) (*.f64 (*.f64 c b) (*.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b))))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b))) (*.f64 (*.f64 d (*.f64 d a)) (*.f64 a (*.f64 d a)))) (*.f64 (fma.f64 c (*.f64 b (*.f64 c b)) (*.f64 d (*.f64 a (fma.f64 c b (*.f64 d a))))) (-.f64 (*.f64 c (*.f64 b (*.f64 c b))) (*.f64 d (*.f64 a (fma.f64 c b (*.f64 d a))))))) (-.f64 (*.f64 c (*.f64 b (*.f64 c b))) (*.f64 d (*.f64 a (fma.f64 c b (*.f64 d a)))))) |
(*.f64 c b) |
(*.f64 b c) |
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 d a))) |
(neg.f64 (neg.f64 (*.f64 d a))) |
(*.f64 d a) |
(*.f64 d (neg.f64 (neg.f64 a))) |
(*.f64 a d) |
(*.f64 a (neg.f64 (neg.f64 d))) |
(*.f64 #s(literal 1 binary64) (*.f64 d a)) |
(*.f64 (neg.f64 a) (neg.f64 d)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 d a))) |
(*.f64 (neg.f64 d) (neg.f64 a)) |
(*.f64 (neg.f64 (neg.f64 a)) d) |
(*.f64 (neg.f64 (neg.f64 d)) a) |
Compiled 24 549 to 1 313 computations (94.7% saved)
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 633 | 13 | 646 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 634 | 13 | 647 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 60.2% | (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) |
| 29.5% | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| 37.2% | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| 20.4% | (/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 d a))) (*.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 c b)) #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 c b)) (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 d a)))) | |
| ▶ | 58.3% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (-.f64 (*.f64 c b) (*.f64 d a)))) |
| 57.9% | (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (-.f64 (*.f64 c b) (*.f64 d a))) | |
| 48.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) | |
| 42.1% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (fma.f64 c b (/.f64 (*.f64 c (*.f64 c a)) d)) d) a) d)) | |
| ▶ | 57.8% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) |
| ▶ | 36.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) |
| 38.4% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) | |
| ▶ | 47.2% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
| 39.6% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d))) |
Compiled 490 to 248 computations (49.4% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 c c) | |
| cost-diff | 0 | (fma.f64 d d (*.f64 c c)) | |
| cost-diff | 0 | (/.f64 (fma.f64 d d (*.f64 c c)) (-.f64 (*.f64 c b) (*.f64 d a))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (-.f64 (*.f64 c b) (*.f64 d a)))) | |
| cost-diff | 0 | (/.f64 (*.f64 d a) c) | |
| cost-diff | 0 | (-.f64 b (/.f64 (*.f64 d a) c)) | |
| cost-diff | 0 | (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) | |
| cost-diff | 0 | (neg.f64 (fma.f64 d d (*.f64 c c))) | |
| cost-diff | 0 | (*.f64 d a) | |
| cost-diff | 0 | (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c)))) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) | |
| cost-diff | 0 | (/.f64 b c) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) | |
| cost-diff | 0 | (*.f64 c c) | |
| cost-diff | 0 | (fma.f64 d d (*.f64 c c)) | |
| cost-diff | 0 | (/.f64 c (fma.f64 d d (*.f64 c c))) | |
| cost-diff | 1408 | (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) |
| 1 704× | lower-fma.f32 |
| 1 700× | lower-fma.f64 |
| 1 160× | lower-*.f32 |
| 1 154× | lower-*.f64 |
| 934× | times-frac |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 257 |
| 0 | 46 | 259 |
| 1 | 87 | 245 |
| 2 | 160 | 245 |
| 3 | 329 | 245 |
| 4 | 707 | 245 |
| 5 | 1153 | 245 |
| 6 | 2477 | 245 |
| 7 | 3586 | 245 |
| 8 | 4006 | 245 |
| 9 | 4058 | 245 |
| 10 | 4088 | 245 |
| 11 | 4134 | 245 |
| 12 | 4135 | 245 |
| 13 | 4275 | 245 |
| 14 | 4331 | 245 |
| 15 | 4331 | 245 |
| 16 | 4331 | 245 |
| 0 | 4331 | 245 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) |
(/.f64 c (fma.f64 d d (*.f64 c c))) |
c |
(fma.f64 d d (*.f64 c c)) |
d |
(*.f64 c c) |
b |
(/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
(*.f64 d a) |
a |
(neg.f64 (fma.f64 d d (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
(/.f64 b c) |
b |
c |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) |
(/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
(*.f64 d a) |
d |
a |
(neg.f64 (fma.f64 d d (*.f64 c c))) |
(fma.f64 d d (*.f64 c c)) |
(*.f64 c c) |
c |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) |
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) |
(-.f64 b (/.f64 (*.f64 d a) c)) |
b |
(/.f64 (*.f64 d a) c) |
(*.f64 d a) |
d |
a |
c |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (-.f64 (*.f64 c b) (*.f64 d a)))) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 d d (*.f64 c c)) (-.f64 (*.f64 c b) (*.f64 d a))) |
(fma.f64 d d (*.f64 c c)) |
d |
(*.f64 c c) |
c |
(-.f64 (*.f64 c b) (*.f64 d a)) |
(*.f64 c b) |
b |
(*.f64 d a) |
a |
| Outputs |
|---|
(fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) |
(/.f64 (fma.f64 d (neg.f64 a) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) |
(/.f64 c (fma.f64 d d (*.f64 c c))) |
c |
(fma.f64 d d (*.f64 c c)) |
d |
(*.f64 c c) |
b |
(/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
(neg.f64 (/.f64 (*.f64 d a) (fma.f64 d d (*.f64 c c)))) |
(*.f64 d a) |
a |
(neg.f64 (fma.f64 d d (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
(/.f64 b c) |
b |
c |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (*.f64 d a) (fma.f64 d d (*.f64 c c))))) |
(/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
(neg.f64 (/.f64 (*.f64 d a) (fma.f64 d d (*.f64 c c)))) |
(*.f64 d a) |
d |
a |
(neg.f64 (fma.f64 d d (*.f64 c c))) |
(fma.f64 d d (*.f64 c c)) |
(*.f64 c c) |
c |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 a (neg.f64 c)) b) c)) |
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) |
(/.f64 (fma.f64 d (/.f64 a (neg.f64 c)) b) c) |
(-.f64 b (/.f64 (*.f64 d a) c)) |
(fma.f64 d (/.f64 a (neg.f64 c)) b) |
b |
(/.f64 (*.f64 d a) c) |
(*.f64 d a) |
d |
a |
c |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (-.f64 (*.f64 c b) (*.f64 d a)))) |
(/.f64 (fma.f64 d (neg.f64 a) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 d d (*.f64 c c)) (-.f64 (*.f64 c b) (*.f64 d a))) |
(/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d (neg.f64 a) (*.f64 c b))) |
(fma.f64 d d (*.f64 c c)) |
d |
(*.f64 c c) |
c |
(-.f64 (*.f64 c b) (*.f64 d a)) |
(fma.f64 d (neg.f64 a) (*.f64 c b)) |
(*.f64 c b) |
b |
(*.f64 d a) |
a |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (fma.f64 d d (*.f64 c c)) | |
| accuracy | 0.41473518274153814 | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (-.f64 (*.f64 c b) (*.f64 d a)))) | |
| accuracy | 0.6679666858302059 | (-.f64 (*.f64 c b) (*.f64 d a)) | |
| accuracy | 26.081689245292576 | (/.f64 (fma.f64 d d (*.f64 c c)) (-.f64 (*.f64 c b) (*.f64 d a))) | |
| accuracy | 0 | (*.f64 d a) | |
| accuracy | 1.1748425943871337 | (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) | |
| accuracy | 4.973948624200391 | (/.f64 (*.f64 d a) c) | |
| accuracy | 25.959686725449508 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) | |
| accuracy | 0 | (neg.f64 (fma.f64 d d (*.f64 c c))) | |
| accuracy | 0.0078125 | (fma.f64 d d (*.f64 c c)) | |
| accuracy | 19.45643969681987 | (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c)))) | |
| accuracy | 28.41405665465555 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) | |
| accuracy | 0 | (/.f64 b c) | |
| accuracy | 33.801918059492465 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) | |
| accuracy | 0.0078125 | (fma.f64 d d (*.f64 c c)) | |
| accuracy | 1.553796186219269 | (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) | |
| accuracy | 18.334725459482986 | (/.f64 c (fma.f64 d d (*.f64 c c))) | |
| accuracy | 19.45643969681987 | (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
| 54.0ms | 256× | 0 | valid |
Compiled 246 to 29 computations (88.2% saved)
ival-div: 12.0ms (40.6% of total)ival-mult: 10.0ms (33.8% of total)ival-sub: 3.0ms (10.2% of total)ival-add: 3.0ms (10.2% of total)ival-neg: 1.0ms (3.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) (patch (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) #<representation binary64>) () ()) |
#s(alt (/.f64 c (fma.f64 d d (*.f64 c c))) (patch (/.f64 c (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ()) |
#s(alt (fma.f64 d d (*.f64 c c)) (patch (fma.f64 d d (*.f64 c c)) #<representation binary64>) () ()) |
#s(alt (*.f64 c c) (patch (*.f64 c c) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) #<representation binary64>) () ()) |
#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c)))) (patch (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ()) |
#s(alt (*.f64 d a) (patch (*.f64 d a) #<representation binary64>) () ()) |
#s(alt (neg.f64 (fma.f64 d d (*.f64 c c))) (patch (neg.f64 (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) (patch (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) #<representation binary64>) () ()) |
#s(alt (-.f64 b (/.f64 (*.f64 d a) c)) (patch (-.f64 b (/.f64 (*.f64 d a) c)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 d a) c) (patch (/.f64 (*.f64 d a) c) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (-.f64 (*.f64 c b) (*.f64 d a)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (-.f64 (*.f64 c b) (*.f64 d a)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 d d (*.f64 c c)) (-.f64 (*.f64 c b) (*.f64 d a))) (patch (/.f64 (fma.f64 d d (*.f64 c c)) (-.f64 (*.f64 c b) (*.f64 d a))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) (patch (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (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 (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) (patch (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (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 (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) (patch (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (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 (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) (patch (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor inf c) (#s(alt (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) (patch (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ b (* -1 (/ (* a d) c))) c) (taylor inf c) (#s(alt (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) (patch (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) (taylor inf c) (#s(alt (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) (patch (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) #<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 (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) (patch (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor -inf c) (#s(alt (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) (patch (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) (taylor -inf c) (#s(alt (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) (patch (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) (taylor -inf c) (#s(alt (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) (patch (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (+ (* -1 (/ (* a (pow d 3)) c)) (* b (pow d 2))) c))) c))) c)) (taylor -inf c) (#s(alt (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) (patch (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor 0 d) (#s(alt (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) (patch (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) (taylor 0 d) (#s(alt (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) (patch (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) (taylor 0 d) (#s(alt (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) (patch (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) (taylor 0 d) (#s(alt (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) (patch (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor inf d) (#s(alt (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) (patch (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 a) (/ (* b c) d)) d) (taylor inf d) (#s(alt (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) (patch (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (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 (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) (patch (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (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 (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) (patch (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor -inf d) (#s(alt (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) (patch (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) (taylor -inf d) (#s(alt (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) (patch (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) (taylor -inf d) (#s(alt (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) (patch (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) (taylor -inf d) (#s(alt (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) (patch (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (taylor 0 b) (#s(alt (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) (patch (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) (taylor 0 b) (#s(alt (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) (patch (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) (taylor 0 b) (#s(alt (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) (patch (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) (taylor 0 b) (#s(alt (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) (patch (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) (+ (pow c 2) (pow d 2))) (taylor inf b) (#s(alt (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) (patch (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) #<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 (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) (patch (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) #<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 (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) (patch (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) #<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 (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) (patch (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) (+ (pow c 2) (pow d 2))) (taylor -inf b) (#s(alt (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) (patch (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) (taylor -inf b) (#s(alt (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) (patch (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) (taylor -inf b) (#s(alt (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) (patch (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) (taylor -inf b) (#s(alt (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) (patch (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) (+ (pow c 2) (pow d 2))) (taylor 0 a) (#s(alt (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) (patch (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) (taylor 0 a) (#s(alt (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) (patch (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) (taylor 0 a) (#s(alt (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) (patch (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) (taylor 0 a) (#s(alt (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) (patch (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (taylor inf a) (#s(alt (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) (patch (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) (taylor inf a) (#s(alt (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) (patch (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) (taylor inf a) (#s(alt (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) (patch (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) (taylor inf a) (#s(alt (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) (patch (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (taylor 0 a) (#s(alt (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c)))) (patch (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (taylor inf a) (#s(alt (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c)))) (patch (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (taylor inf a) (#s(alt (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c)))) (patch (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (taylor -inf a) (#s(alt (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c)))) (patch (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (taylor -inf a) (#s(alt (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c)))) (patch (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())) ()) |
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#s(alt (* b (+ c (* -1 (/ (* a d) b)))) (taylor inf b) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ c (* -1 (/ (* a d) b)))) (taylor inf b) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ c (* -1 (/ (* a d) b)))) (taylor inf b) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ()) |
#s(alt (* b c) (taylor -inf b) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ (* -1 c) (/ (* a d) b)))) (taylor -inf b) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ (* -1 c) (/ (* a d) b)))) (taylor -inf b) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ (* -1 c) (/ (* a d) b)))) (taylor -inf b) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ()) |
#s(alt (* b c) (taylor 0 d) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* a d)) (* b c)) (taylor 0 d) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* a d)) (* b c)) (taylor 0 d) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* a d)) (* b c)) (taylor 0 d) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a d)) (taylor inf d) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ()) |
#s(alt (* d (- (/ (* b c) d) a)) (taylor inf d) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ()) |
#s(alt (* d (- (/ (* b c) d) a)) (taylor inf d) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ()) |
#s(alt (* d (- (/ (* b c) d) a)) (taylor inf d) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a d)) (taylor -inf d) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) (taylor -inf d) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) (taylor -inf d) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) (taylor -inf d) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ()) |
#s(alt (* b c) (taylor 0 a) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* a d)) (* b c)) (taylor 0 a) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* a d)) (* b c)) (taylor 0 a) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* a d)) (* b c)) (taylor 0 a) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a d)) (taylor inf a) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ()) |
#s(alt (* a (- (/ (* b c) a) d)) (taylor inf a) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ()) |
#s(alt (* a (- (/ (* b c) a) d)) (taylor inf a) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ()) |
#s(alt (* a (- (/ (* b c) a) d)) (taylor inf a) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a d)) (taylor -inf a) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) (taylor -inf a) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) (taylor -inf a) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) (taylor -inf a) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ()) |
159 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | a | @ | 0 | (/ (* d a) (neg (+ (* d d) (* c c)))) |
| 1.0ms | b | @ | 0 | (+ (* (/ c (+ (* d d) (* c c))) b) (/ (* d a) (neg (+ (* d d) (* c c))))) |
| 1.0ms | b | @ | inf | (/ (+ (* d d) (* c c)) (- (* c b) (* d a))) |
| 1.0ms | a | @ | 0 | (+ (* (/ c (+ (* d d) (* c c))) b) (/ (* d a) (neg (+ (* d d) (* c c))))) |
| 1.0ms | d | @ | inf | (/ (+ (* d d) (* c c)) (- (* c b) (* d a))) |
| 1× | egg-herbie |
| 7 890× | lower-fma.f64 |
| 7 890× | lower-fma.f32 |
| 7 424× | lower-*.f64 |
| 7 424× | lower-*.f32 |
| 3 372× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 745 | 9449 |
| 1 | 2493 | 9105 |
| 0 | 8769 | 8658 |
| 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))))) |
(/ 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) |
(* -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)) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* 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) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* 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)))))) |
(/ c (pow d 2)) |
(* c (+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2)))) |
(* c (+ (* (pow c 2) (- (/ (pow c 2) (pow d 6)) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))) |
(* c (+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 8))) (/ 1 (pow d 6)))) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))) |
(/ 1 c) |
(/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) c) |
(/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) c) |
(/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) c) |
(/ 1 c) |
(* -1 (/ (- (/ (pow d 2) (pow c 2)) 1) c)) |
(* -1 (/ (- (* -1 (/ (pow d 4) (pow c 4))) (+ 1 (* -1 (/ (pow d 2) (pow c 2))))) c)) |
(* -1 (/ (- (/ (pow d 6) (pow c 6)) (+ 1 (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (pow d 4) (pow c 4))))) c)) |
(/ 1 c) |
(+ (* -1 (/ (pow d 2) (pow c 3))) (/ 1 c)) |
(+ (* (pow d 2) (- (/ (pow d 2) (pow c 5)) (/ 1 (pow c 3)))) (/ 1 c)) |
(+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 7))) (/ 1 (pow c 5)))) (/ 1 (pow c 3)))) (/ 1 c)) |
(/ c (pow d 2)) |
(/ (+ c (* -1 (/ (pow c 3) (pow d 2)))) (pow d 2)) |
(/ (- (+ c (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2))) (pow d 2)) |
(/ (- (+ c (* -1 (/ (pow c 7) (pow d 6)))) (+ (* -1 (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2)))) (pow d 2)) |
(/ c (pow d 2)) |
(/ (+ c (* -1 (/ (pow c 3) (pow d 2)))) (pow d 2)) |
(/ (- (+ c (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2))) (pow d 2)) |
(/ (- (+ c (* -1 (/ (pow c 7) (pow d 6)))) (+ (* -1 (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2)))) (pow d 2)) |
(pow c 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(pow d 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 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)))) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(/ (* b c) (+ (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 (/ 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 (* -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) |
(* -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 c 2) (pow d 2))) |
(+ (* -1 (/ (* a 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) (+ (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)) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (/ 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 (* -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) |
(* -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 c 2) (pow d 2))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
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(/ b c) |
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(/ (+ (* -1 a) (/ (* b c) d)) d) |
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(/ (+ (* -1 (* a d)) (+ (* -1 (/ (* a (pow d 5)) (pow c 4))) (+ (/ (* a (pow d 3)) (pow c 2)) (/ (* a (pow d 7)) (pow c 6))))) (pow c 2)) |
(* a d) |
(* a d) |
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(* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c))) |
(* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c))) |
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(* -1 (/ (* a d) (pow c 2))) |
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(* -1 (/ (* a d) (pow c 2))) |
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b |
(* b (+ 1 (* -1 (/ (* a d) (* b c))))) |
(* b (+ 1 (* -1 (/ (* a d) (* b c))))) |
(* b (+ 1 (* -1 (/ (* a d) (* b c))))) |
b |
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(* -1 (* b (- (/ (* a d) (* b c)) 1))) |
b |
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(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) |
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) |
b |
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b |
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b |
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(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
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(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
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(* d (- (+ (* -1 (/ (pow c 2) (* a (pow d 2)))) (/ (* b (* c (- (* -1 (/ (pow c 2) a)) (/ (* (pow b 2) (pow c 2)) (pow a 3))))) (* a (pow d 3)))) (+ (/ 1 a) (+ (/ (* b c) (* (pow a 2) d)) (/ (* (pow b 2) (pow c 2)) (* (pow a 3) (pow d 2))))))) |
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(* -1 (* d (+ (/ 1 a) (/ (* b c) (* (pow a 2) d))))) |
(* -1 (* d (+ (* -1 (/ (- (* -1 (/ (- (/ (pow c 2) a) (* -1 (/ (* (pow b 2) (pow c 2)) (pow a 3)))) d)) (/ (* b c) (pow a 2))) d)) (/ 1 a)))) |
(* -1 (* d (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* b (* c (- (/ (pow c 2) a) (* -1 (/ (* (pow b 2) (pow c 2)) (pow a 3)))))) (* a d)) (/ (pow c 2) a)) (* -1 (/ (* (pow b 2) (pow c 2)) (pow a 3)))) d)) (/ (* b c) (pow a 2))) d)) (/ 1 a)))) |
(* -1 (/ d a)) |
(+ (* -1 (/ d a)) (* -1 (/ (* b c) (pow a 2)))) |
(+ (* -1 (/ d a)) (* c (- (* -1 (* c (+ (/ 1 (* a d)) (/ (pow b 2) (* (pow a 3) d))))) (/ b (pow a 2))))) |
(+ (* -1 (/ d a)) (* c (- (* c (- (* -1 (/ (* b (* c (+ (/ 1 (* a d)) (/ (pow b 2) (* (pow a 3) d))))) (* a d))) (+ (/ 1 (* a d)) (/ (pow b 2) (* (pow a 3) d))))) (/ b (pow a 2))))) |
(/ c b) |
(* c (+ (/ 1 b) (/ (* a d) (* (pow b 2) c)))) |
(* c (- (+ (/ 1 b) (/ (pow d 2) (* b (pow c 2)))) (+ (* -1 (/ (* a d) (* (pow b 2) c))) (* -1 (/ (* (pow a 2) (pow d 2)) (* (pow b 3) (pow c 2))))))) |
(* c (- (+ (/ 1 b) (+ (/ (* a (* d (- (/ (pow d 2) b) (* -1 (/ (* (pow a 2) (pow d 2)) (pow b 3)))))) (* b (pow c 3))) (/ (pow d 2) (* b (pow c 2))))) (+ (* -1 (/ (* a d) (* (pow b 2) c))) (* -1 (/ (* (pow a 2) (pow d 2)) (* (pow b 3) (pow c 2))))))) |
(/ c b) |
(* -1 (* c (- (* -1 (/ (* a d) (* (pow b 2) c))) (/ 1 b)))) |
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow d 2) b)) (/ (* (pow a 2) (pow d 2)) (pow b 3))) c)) (* -1 (/ (* a d) (pow b 2)))) c)) (/ 1 b)))) |
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow d 2) b)) (/ (* a (* d (- (* -1 (/ (pow d 2) b)) (/ (* (pow a 2) (pow d 2)) (pow b 3))))) (* b c))) (/ (* (pow a 2) (pow d 2)) (pow b 3))) c)) (* -1 (/ (* a d) (pow b 2)))) c)) (/ 1 b)))) |
(* -1 (/ (+ (pow c 2) (pow d 2)) (* a d))) |
(+ (* -1 (/ (* b (* c (+ (pow c 2) (pow d 2)))) (* (pow a 2) (pow d 2)))) (* -1 (/ (+ (pow c 2) (pow d 2)) (* a d)))) |
(+ (* -1 (/ (+ (pow c 2) (pow d 2)) (* a d))) (* b (- (* -1 (/ (* b (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* (pow a 3) (pow d 3)))) (/ (* c (+ (pow c 2) (pow d 2))) (* (pow a 2) (pow d 2)))))) |
(+ (* -1 (/ (+ (pow c 2) (pow d 2)) (* a d))) (* b (- (* b (- (* -1 (/ (* b (* (pow c 3) (+ (pow c 2) (pow d 2)))) (* (pow a 4) (pow d 4)))) (/ (* (pow c 2) (+ (pow c 2) (pow d 2))) (* (pow a 3) (pow d 3))))) (/ (* c (+ (pow c 2) (pow d 2))) (* (pow a 2) (pow d 2)))))) |
(/ (+ (pow c 2) (pow d 2)) (* b c)) |
(/ (+ c (+ (/ (* a (* d (+ (pow c 2) (pow d 2)))) (* b (pow c 2))) (/ (pow d 2) c))) b) |
(/ (- (+ c (+ (/ (* (pow a 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* (pow b 2) (pow c 3))) (/ (pow d 2) c))) (* -1 (/ (* a (* d (+ (pow c 2) (pow d 2)))) (* b (pow c 2))))) b) |
(/ (- (+ c (+ (/ (* (pow a 3) (* (pow d 3) (+ (pow c 2) (pow d 2)))) (* (pow b 3) (pow c 4))) (/ (pow d 2) c))) (+ (* -1 (/ (* a (* d (+ (pow c 2) (pow d 2)))) (* b (pow c 2)))) (* -1 (/ (* (pow a 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* (pow b 2) (pow c 3)))))) b) |
(/ (+ (pow c 2) (pow d 2)) (* b c)) |
(* -1 (/ (+ (* -1 (/ (* a (* d (+ (pow c 2) (pow d 2)))) (* b (pow c 2)))) (* -1 (/ (+ (pow c 2) (pow d 2)) c))) b)) |
(* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) c)) (* -1 (/ (- (/ (* (pow a 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* b (pow c 3))) (* -1 (/ (* a (* d (+ (pow c 2) (pow d 2)))) (pow c 2)))) b))) b)) |
(* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) c)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow a 3) (* (pow d 3) (+ (pow c 2) (pow d 2)))) (* b (pow c 4)))) (/ (* (pow a 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (pow c 3))) b)) (* -1 (/ (* a (* d (+ (pow c 2) (pow d 2)))) (pow c 2)))) b))) b)) |
(/ (+ (pow c 2) (pow d 2)) (* b c)) |
(+ (/ c b) (+ (/ (* a (* d (+ (pow c 2) (pow d 2)))) (* (pow b 2) (pow c 2))) (/ (pow d 2) (* b c)))) |
(+ (* a (- (/ (* a (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* (pow b 3) (pow c 3))) (* -1 (/ (* d (+ (pow c 2) (pow d 2))) (* (pow b 2) (pow c 2)))))) (+ (/ c b) (/ (pow d 2) (* b c)))) |
(+ (* a (- (* a (- (/ (* a (* (pow d 3) (+ (pow c 2) (pow d 2)))) (* (pow b 4) (pow c 4))) (* -1 (/ (* (pow d 2) (+ (pow c 2) (pow d 2))) (* (pow b 3) (pow c 3)))))) (* -1 (/ (* d (+ (pow c 2) (pow d 2))) (* (pow b 2) (pow c 2)))))) (+ (/ c b) (/ (pow d 2) (* b c)))) |
(* -1 (/ (+ (pow c 2) (pow d 2)) (* a d))) |
(/ (+ (* -1 (/ (* b (* c (+ (pow c 2) (pow d 2)))) (* a (pow d 2)))) (* -1 (/ (+ (pow c 2) (pow d 2)) d))) a) |
(/ (- (+ (* -1 (/ (* (pow b 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* (pow a 2) (pow d 3)))) (* -1 (/ (+ (pow c 2) (pow d 2)) d))) (/ (* b (* c (+ (pow c 2) (pow d 2)))) (* a (pow d 2)))) a) |
(/ (- (+ (* -1 (/ (* (pow b 3) (* (pow c 3) (+ (pow c 2) (pow d 2)))) (* (pow a 3) (pow d 4)))) (* -1 (/ (+ (pow c 2) (pow d 2)) d))) (+ (/ (* b (* c (+ (pow c 2) (pow d 2)))) (* a (pow d 2))) (/ (* (pow b 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* (pow a 2) (pow d 3))))) a) |
(* -1 (/ (+ (pow c 2) (pow d 2)) (* a d))) |
(* -1 (/ (+ d (+ (/ (* b (* c (+ (pow c 2) (pow d 2)))) (* a (pow d 2))) (/ (pow c 2) d))) a)) |
(* -1 (/ (+ d (+ (* -1 (/ (- (* -1 (/ (* (pow b 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* a (pow d 3)))) (/ (* b (* c (+ (pow c 2) (pow d 2)))) (pow d 2))) a)) (/ (pow c 2) d))) a)) |
(* -1 (/ (+ d (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (* (pow c 3) (+ (pow c 2) (pow d 2)))) (* a (pow d 4))) (* -1 (/ (* (pow b 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (pow d 3)))) a)) (/ (* b (* c (+ (pow c 2) (pow d 2)))) (pow d 2))) a)) (/ (pow c 2) d))) a)) |
(* -1 (* a d)) |
(- (* b c) (* a d)) |
(- (* b c) (* a d)) |
(- (* b c) (* a d)) |
(* b c) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(* c (+ b (* -1 (/ (* 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)) |
(- (* b c) (* a d)) |
(- (* b c) (* a d)) |
(- (* b c) (* a d)) |
(* b c) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(* b (+ c (* -1 (/ (* a d) 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) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(* -1 (* a d)) |
(* d (- (/ (* b c) d) a)) |
(* d (- (/ (* b c) d) a)) |
(* d (- (/ (* b c) d) a)) |
(* -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)))) |
(* b c) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(* -1 (* a d)) |
(* a (- (/ (* b c) a) d)) |
(* a (- (/ (* b c) a) d)) |
(* a (- (/ (* b c) a) d)) |
(* -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)))) |
| Outputs |
|---|
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(fma.f64 c (fma.f64 a (/.f64 c (*.f64 d (*.f64 d d))) (/.f64 b (*.f64 d d))) (/.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 c (fma.f64 c (fma.f64 (neg.f64 b) (/.f64 c (*.f64 d (*.f64 d (*.f64 d d)))) (/.f64 a (*.f64 d (*.f64 d d)))) (/.f64 b (*.f64 d d))) (/.f64 (neg.f64 a) 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 (fma.f64 a (/.f64 d (neg.f64 c)) (fma.f64 (neg.f64 b) (*.f64 d (/.f64 d (*.f64 c c))) b)) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(/.f64 (-.f64 (fma.f64 a (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c))) (-.f64 b (/.f64 (*.f64 a d) c))) (*.f64 b (*.f64 d (/.f64 d (*.f64 c c))))) c) |
(/ b c) |
(/.f64 b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 a d) c) b) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(/.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 b (/.f64 (*.f64 d d) c) (*.f64 a d))) (neg.f64 c)) b) (neg.f64 c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (+ (* -1 (/ (* a (pow d 3)) c)) (* b (pow d 2))) c))) c))) c)) |
(/.f64 (-.f64 (neg.f64 b) (/.f64 (neg.f64 (fma.f64 a d (/.f64 (-.f64 (*.f64 d (*.f64 d b)) (/.f64 (*.f64 a (*.f64 d (*.f64 d d))) c)) c))) c)) (neg.f64 c)) |
(/ 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)) |
(fma.f64 d (neg.f64 (fma.f64 d (/.f64 b (*.f64 c (*.f64 c c))) (/.f64 a (*.f64 c c)))) (/.f64 b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(fma.f64 d (fma.f64 d (-.f64 (/.f64 (*.f64 a d) (*.f64 c (*.f64 c (*.f64 c c)))) (/.f64 b (*.f64 c (*.f64 c c)))) (/.f64 a (*.f64 c (neg.f64 c)))) (/.f64 b c)) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/.f64 (fma.f64 a (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64)) (/.f64 (*.f64 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) |
(/.f64 (fma.f64 b (neg.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 d (*.f64 d d)))) (fma.f64 a (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64)) (/.f64 (*.f64 b c) d))) d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 a (/.f64 (*.f64 c c) d) (*.f64 b c)) 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 b c (/.f64 (fma.f64 b (/.f64 (*.f64 c (*.f64 c c)) d) (*.f64 a (*.f64 c (neg.f64 c)))) (neg.f64 d))) d)) (neg.f64 d)) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(/.f64 (*.f64 a d) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(-.f64 (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c)))) (/.f64 (*.f64 a d) (fma.f64 d d (*.f64 c c)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(-.f64 (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c)))) (/.f64 (*.f64 a d) (fma.f64 d d (*.f64 c c)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(-.f64 (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c)))) (/.f64 (*.f64 a d) (fma.f64 d d (*.f64 c c)))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c)))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(*.f64 b (-.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a d) (*.f64 b (fma.f64 d d (*.f64 c c)))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(*.f64 b (-.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a d) (*.f64 b (fma.f64 d d (*.f64 c c)))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(*.f64 b (-.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a d) (*.f64 b (fma.f64 d d (*.f64 c c)))))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c)))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(*.f64 (neg.f64 b) (-.f64 (/.f64 (*.f64 a d) (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 c (fma.f64 d d (*.f64 c c))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(*.f64 (neg.f64 b) (-.f64 (/.f64 (*.f64 a d) (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 c (fma.f64 d d (*.f64 c c))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(*.f64 (neg.f64 b) (-.f64 (/.f64 (*.f64 a d) (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 c (fma.f64 d d (*.f64 c c))))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(-.f64 (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c)))) (/.f64 (*.f64 a d) (fma.f64 d d (*.f64 c c)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(-.f64 (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c)))) (/.f64 (*.f64 a d) (fma.f64 d d (*.f64 c c)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(-.f64 (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c)))) (/.f64 (*.f64 a d) (fma.f64 d d (*.f64 c c)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(/.f64 (*.f64 a d) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 a (-.f64 (/.f64 (*.f64 b c) (*.f64 a (fma.f64 d d (*.f64 c c)))) (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 a (-.f64 (/.f64 (*.f64 b c) (*.f64 a (fma.f64 d d (*.f64 c c)))) (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 a (-.f64 (/.f64 (*.f64 b c) (*.f64 a (fma.f64 d d (*.f64 c c)))) (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(/.f64 (*.f64 a d) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(*.f64 (neg.f64 a) (-.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 b c) (*.f64 a (fma.f64 d d (*.f64 c c)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(*.f64 (neg.f64 a) (-.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 b c) (*.f64 a (fma.f64 d d (*.f64 c c)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(*.f64 (neg.f64 a) (-.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 b c) (*.f64 a (fma.f64 d d (*.f64 c c)))))) |
(/ c (pow d 2)) |
(/.f64 c (*.f64 d d)) |
(* c (+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2)))) |
(*.f64 c (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 d d)) (/.f64 (*.f64 c c) (*.f64 d (*.f64 d (*.f64 d d)))))) |
(* c (+ (* (pow c 2) (- (/ (pow c 2) (pow d 6)) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))) |
(*.f64 c (fma.f64 (*.f64 c c) (fma.f64 c (/.f64 c (pow.f64 d #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 d (*.f64 d (*.f64 d d))))) (/.f64 #s(literal 1 binary64) (*.f64 d d)))) |
(* c (+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 8))) (/ 1 (pow d 6)))) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))) |
(*.f64 c (fma.f64 (*.f64 c c) (fma.f64 (*.f64 c c) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 d #s(literal 6 binary64))) (/.f64 (*.f64 c c) (pow.f64 d #s(literal 8 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 d (*.f64 d (*.f64 d d))))) (/.f64 #s(literal 1 binary64) (*.f64 d d)))) |
(/ 1 c) |
(/.f64 #s(literal 1 binary64) c) |
(/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) c) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 d (/.f64 d (*.f64 c c)))) c) |
(/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) c) |
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 d (/.f64 d (*.f64 c c)))) (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 c (*.f64 c (*.f64 c c))))) c) |
(/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) c) |
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (-.f64 (*.f64 d (/.f64 d (*.f64 c c))) (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 c (*.f64 c (*.f64 c c)))))) c) |
(/ 1 c) |
(/.f64 #s(literal 1 binary64) c) |
(* -1 (/ (- (/ (pow d 2) (pow c 2)) 1) c)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 d (/.f64 d (*.f64 c c)))) c) |
(* -1 (/ (- (* -1 (/ (pow d 4) (pow c 4))) (+ 1 (* -1 (/ (pow d 2) (pow c 2))))) c)) |
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(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow d 2) b)) (/ (* (pow a 2) (pow d 2)) (pow b 3))) c)) (* -1 (/ (* a d) (pow b 2)))) c)) (/ 1 b)))) |
(*.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 d (/.f64 d b) (*.f64 (*.f64 d d) (*.f64 a (/.f64 a (*.f64 b (*.f64 b b))))))) (neg.f64 c)) (*.f64 a (/.f64 d (*.f64 b b)))) c)) (/.f64 #s(literal -1 binary64) b)) (neg.f64 c)) |
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (pow d 2) b)) (/ (* a (* d (- (* -1 (/ (pow d 2) b)) (/ (* (pow a 2) (pow d 2)) (pow b 3))))) (* b c))) (/ (* (pow a 2) (pow d 2)) (pow b 3))) c)) (* -1 (/ (* a d) (pow b 2)))) c)) (/ 1 b)))) |
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 a d) (/.f64 (neg.f64 (fma.f64 d (/.f64 d b) (*.f64 (*.f64 d d) (*.f64 a (/.f64 a (*.f64 b (*.f64 b b))))))) (*.f64 b c)) (neg.f64 (fma.f64 d (/.f64 d b) (*.f64 (*.f64 d d) (*.f64 a (/.f64 a (*.f64 b (*.f64 b b)))))))) (neg.f64 c)) (*.f64 a (/.f64 d (*.f64 b b)))) (neg.f64 c)) (/.f64 #s(literal -1 binary64) b)) (neg.f64 c)) |
(* -1 (/ (+ (pow c 2) (pow d 2)) (* a d))) |
(/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 d (neg.f64 a))) |
(+ (* -1 (/ (* b (* c (+ (pow c 2) (pow d 2)))) (* (pow a 2) (pow d 2)))) (* -1 (/ (+ (pow c 2) (pow d 2)) (* a d)))) |
(neg.f64 (fma.f64 b (/.f64 (*.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 a (*.f64 a (*.f64 d d)))) (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 a d)))) |
(+ (* -1 (/ (+ (pow c 2) (pow d 2)) (* a d))) (* b (- (* -1 (/ (* b (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* (pow a 3) (pow d 3)))) (/ (* c (+ (pow c 2) (pow d 2))) (* (pow a 2) (pow d 2)))))) |
(-.f64 (*.f64 b (neg.f64 (fma.f64 (*.f64 b (*.f64 c c)) (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 a (*.f64 a (*.f64 a (*.f64 d (*.f64 d d)))))) (/.f64 (*.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 a (*.f64 a (*.f64 d d))))))) (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 a d))) |
(+ (* -1 (/ (+ (pow c 2) (pow d 2)) (* a d))) (* b (- (* b (- (* -1 (/ (* b (* (pow c 3) (+ (pow c 2) (pow d 2)))) (* (pow a 4) (pow d 4)))) (/ (* (pow c 2) (+ (pow c 2) (pow d 2))) (* (pow a 3) (pow d 3))))) (/ (* c (+ (pow c 2) (pow d 2))) (* (pow a 2) (pow d 2)))))) |
(-.f64 (*.f64 b (fma.f64 b (neg.f64 (fma.f64 b (/.f64 (*.f64 c (*.f64 c (*.f64 c (fma.f64 d d (*.f64 c c))))) (*.f64 (*.f64 d (*.f64 d (*.f64 d d))) (pow.f64 a #s(literal 4 binary64)))) (/.f64 (*.f64 c (*.f64 c (fma.f64 d d (*.f64 c c)))) (*.f64 a (*.f64 a (*.f64 a (*.f64 d (*.f64 d d)))))))) (/.f64 (*.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 (*.f64 d (neg.f64 d)) (*.f64 a a))))) (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 a d))) |
(/ (+ (pow c 2) (pow d 2)) (* b c)) |
(/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 b c)) |
(/ (+ c (+ (/ (* a (* d (+ (pow c 2) (pow d 2)))) (* b (pow c 2))) (/ (pow d 2) c))) b) |
(/.f64 (fma.f64 a (/.f64 (*.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 b (*.f64 c c))) (fma.f64 d (/.f64 d c) c)) b) |
(/ (- (+ c (+ (/ (* (pow a 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* (pow b 2) (pow c 3))) (/ (pow d 2) c))) (* -1 (/ (* a (* d (+ (pow c 2) (pow d 2)))) (* b (pow c 2))))) b) |
(/.f64 (+.f64 (fma.f64 (*.f64 a (*.f64 a (*.f64 d d))) (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 c (*.f64 b (*.f64 b (*.f64 c c))))) (fma.f64 d (/.f64 d c) c)) (/.f64 (*.f64 (*.f64 a d) (fma.f64 d d (*.f64 c c))) (*.f64 b (*.f64 c c)))) b) |
(/ (- (+ c (+ (/ (* (pow a 3) (* (pow d 3) (+ (pow c 2) (pow d 2)))) (* (pow b 3) (pow c 4))) (/ (pow d 2) c))) (+ (* -1 (/ (* a (* d (+ (pow c 2) (pow d 2)))) (* b (pow c 2)))) (* -1 (/ (* (pow a 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* (pow b 2) (pow c 3)))))) b) |
(/.f64 (-.f64 (fma.f64 (*.f64 a (*.f64 a (*.f64 a (*.f64 d (*.f64 d d))))) (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 b (*.f64 b b)))) (fma.f64 d (/.f64 d c) c)) (neg.f64 (fma.f64 (*.f64 a a) (/.f64 (*.f64 (*.f64 d d) (fma.f64 d d (*.f64 c c))) (*.f64 c (*.f64 b (*.f64 b (*.f64 c c))))) (/.f64 (*.f64 (*.f64 a d) (fma.f64 d d (*.f64 c c))) (*.f64 b (*.f64 c c)))))) b) |
(/ (+ (pow c 2) (pow d 2)) (* b c)) |
(/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 b c)) |
(* -1 (/ (+ (* -1 (/ (* a (* d (+ (pow c 2) (pow d 2)))) (* b (pow c 2)))) (* -1 (/ (+ (pow c 2) (pow d 2)) c))) b)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 a d) (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 b (*.f64 c c))) (/.f64 (fma.f64 d d (*.f64 c c)) c))) (neg.f64 b)) |
(* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) c)) (* -1 (/ (- (/ (* (pow a 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* b (pow c 3))) (* -1 (/ (* a (* d (+ (pow c 2) (pow d 2)))) (pow c 2)))) b))) b)) |
(/.f64 (-.f64 (neg.f64 (fma.f64 (*.f64 a a) (/.f64 (*.f64 (*.f64 d d) (fma.f64 d d (*.f64 c c))) (*.f64 c (*.f64 b (*.f64 b (*.f64 c c))))) (/.f64 (*.f64 (*.f64 a d) (fma.f64 d d (*.f64 c c))) (*.f64 b (*.f64 c c))))) (/.f64 (fma.f64 d d (*.f64 c c)) c)) (neg.f64 b)) |
(* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) c)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow a 3) (* (pow d 3) (+ (pow c 2) (pow d 2)))) (* b (pow c 4)))) (/ (* (pow a 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (pow c 3))) b)) (* -1 (/ (* a (* d (+ (pow c 2) (pow d 2)))) (pow c 2)))) b))) b)) |
(neg.f64 (/.f64 (-.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (neg.f64 c)) (+.f64 (/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 a (*.f64 a a)) (/.f64 (*.f64 (*.f64 d d) (*.f64 d (fma.f64 d d (*.f64 c c)))) (*.f64 b (*.f64 c (*.f64 c (*.f64 c c))))) (/.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 a (*.f64 a (*.f64 d d)))) (*.f64 c (*.f64 c c)))))) (*.f64 b b)) (/.f64 (*.f64 (*.f64 a d) (fma.f64 d d (*.f64 c c))) (*.f64 b (*.f64 c c))))) b)) |
(/ (+ (pow c 2) (pow d 2)) (* b c)) |
(/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 b c)) |
(+ (/ c b) (+ (/ (* a (* d (+ (pow c 2) (pow d 2)))) (* (pow b 2) (pow c 2))) (/ (pow d 2) (* b c)))) |
(fma.f64 a (/.f64 (*.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 b (*.f64 b (*.f64 c c)))) (fma.f64 d (/.f64 d (*.f64 b c)) (/.f64 c b))) |
(+ (* a (- (/ (* a (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* (pow b 3) (pow c 3))) (* -1 (/ (* d (+ (pow c 2) (pow d 2))) (* (pow b 2) (pow c 2)))))) (+ (/ c b) (/ (pow d 2) (* b c)))) |
(fma.f64 a (fma.f64 a (/.f64 (*.f64 (*.f64 d d) (fma.f64 d d (*.f64 c c))) (*.f64 b (*.f64 c (*.f64 b (*.f64 b (*.f64 c c)))))) (/.f64 (*.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 b (*.f64 b (*.f64 c c))))) (fma.f64 d (/.f64 d (*.f64 b c)) (/.f64 c b))) |
(+ (* a (- (* a (- (/ (* a (* (pow d 3) (+ (pow c 2) (pow d 2)))) (* (pow b 4) (pow c 4))) (* -1 (/ (* (pow d 2) (+ (pow c 2) (pow d 2))) (* (pow b 3) (pow c 3)))))) (* -1 (/ (* d (+ (pow c 2) (pow d 2))) (* (pow b 2) (pow c 2)))))) (+ (/ c b) (/ (pow d 2) (* b c)))) |
(fma.f64 a (fma.f64 a (fma.f64 a (/.f64 (*.f64 (*.f64 d d) (*.f64 d (fma.f64 d d (*.f64 c c)))) (*.f64 (*.f64 c (*.f64 c (*.f64 c c))) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (*.f64 (*.f64 d d) (fma.f64 d d (*.f64 c c))) (*.f64 b (*.f64 c (*.f64 b (*.f64 b (*.f64 c c))))))) (/.f64 (*.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 b (*.f64 b (*.f64 c c))))) (fma.f64 d (/.f64 d (*.f64 b c)) (/.f64 c b))) |
(* -1 (/ (+ (pow c 2) (pow d 2)) (* a d))) |
(/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 d (neg.f64 a))) |
(/ (+ (* -1 (/ (* b (* c (+ (pow c 2) (pow d 2)))) (* a (pow d 2)))) (* -1 (/ (+ (pow c 2) (pow d 2)) d))) a) |
(/.f64 (neg.f64 (fma.f64 b (/.f64 (*.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 a (*.f64 d d))) (/.f64 (fma.f64 d d (*.f64 c c)) d))) a) |
(/ (- (+ (* -1 (/ (* (pow b 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* (pow a 2) (pow d 3)))) (* -1 (/ (+ (pow c 2) (pow d 2)) d))) (/ (* b (* c (+ (pow c 2) (pow d 2)))) (* a (pow d 2)))) a) |
(/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 d d (*.f64 c c)) d)) (fma.f64 (*.f64 b (*.f64 b (*.f64 c c))) (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 a (*.f64 a (*.f64 d (*.f64 d d))))) (/.f64 (*.f64 b (*.f64 c (fma.f64 d d (*.f64 c c)))) (*.f64 a (*.f64 d d))))) a) |
(/ (- (+ (* -1 (/ (* (pow b 3) (* (pow c 3) (+ (pow c 2) (pow d 2)))) (* (pow a 3) (pow d 4)))) (* -1 (/ (+ (pow c 2) (pow d 2)) d))) (+ (/ (* b (* c (+ (pow c 2) (pow d 2)))) (* a (pow d 2))) (/ (* (pow b 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* (pow a 2) (pow d 3))))) a) |
(/.f64 (-.f64 (neg.f64 (fma.f64 (*.f64 b (*.f64 c (*.f64 b (*.f64 b (*.f64 c c))))) (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 a (*.f64 a a)))) (/.f64 (fma.f64 d d (*.f64 c c)) d))) (fma.f64 (*.f64 b (*.f64 b (*.f64 c c))) (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 a (*.f64 a (*.f64 d (*.f64 d d))))) (/.f64 (*.f64 b (*.f64 c (fma.f64 d d (*.f64 c c)))) (*.f64 a (*.f64 d d))))) a) |
(* -1 (/ (+ (pow c 2) (pow d 2)) (* a d))) |
(/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 d (neg.f64 a))) |
(* -1 (/ (+ d (+ (/ (* b (* c (+ (pow c 2) (pow d 2)))) (* a (pow d 2))) (/ (pow c 2) d))) a)) |
(/.f64 (fma.f64 b (/.f64 (*.f64 c (fma.f64 d d (*.f64 c c))) (*.f64 a (*.f64 d d))) (fma.f64 c (/.f64 c d) d)) (neg.f64 a)) |
(* -1 (/ (+ d (+ (* -1 (/ (- (* -1 (/ (* (pow b 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (* a (pow d 3)))) (/ (* b (* c (+ (pow c 2) (pow d 2)))) (pow d 2))) a)) (/ (pow c 2) d))) a)) |
(/.f64 (+.f64 d (-.f64 (/.f64 (*.f64 c c) d) (neg.f64 (fma.f64 (*.f64 b (*.f64 b (*.f64 c c))) (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 a (*.f64 a (*.f64 d (*.f64 d d))))) (/.f64 (*.f64 b (*.f64 c (fma.f64 d d (*.f64 c c)))) (*.f64 a (*.f64 d d))))))) (neg.f64 a)) |
(* -1 (/ (+ d (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (* (pow c 3) (+ (pow c 2) (pow d 2)))) (* a (pow d 4))) (* -1 (/ (* (pow b 2) (* (pow c 2) (+ (pow c 2) (pow d 2)))) (pow d 3)))) a)) (/ (* b (* c (+ (pow c 2) (pow d 2)))) (pow d 2))) a)) (/ (pow c 2) d))) a)) |
(/.f64 (+.f64 (-.f64 d (-.f64 (/.f64 (neg.f64 (fma.f64 b (*.f64 (*.f64 b b) (/.f64 (*.f64 c (*.f64 c (*.f64 c (fma.f64 d d (*.f64 c c))))) (*.f64 a (*.f64 d (*.f64 d (*.f64 d d)))))) (*.f64 (*.f64 b b) (/.f64 (*.f64 c (*.f64 c (fma.f64 d d (*.f64 c c)))) (*.f64 d (*.f64 d d)))))) (*.f64 a a)) (/.f64 (*.f64 b (*.f64 c (fma.f64 d d (*.f64 c c)))) (*.f64 a (*.f64 d d))))) (/.f64 (*.f64 c c) d)) (neg.f64 a)) |
(* -1 (* a d)) |
(*.f64 d (neg.f64 a)) |
(- (* b c) (* a d)) |
(fma.f64 a (neg.f64 d) (*.f64 b c)) |
(- (* b c) (* a d)) |
(fma.f64 a (neg.f64 d) (*.f64 b c)) |
(- (* b c) (* a d)) |
(fma.f64 a (neg.f64 d) (*.f64 b c)) |
(* b c) |
(*.f64 b c) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(*.f64 c (-.f64 b (/.f64 (*.f64 a d) c))) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(*.f64 c (-.f64 b (/.f64 (*.f64 a d) c))) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(*.f64 c (-.f64 b (/.f64 (*.f64 a d) c))) |
(* b c) |
(*.f64 b c) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(*.f64 (-.f64 (/.f64 (*.f64 a d) c) b) (neg.f64 c)) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(*.f64 (-.f64 (/.f64 (*.f64 a d) c) b) (neg.f64 c)) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(*.f64 (-.f64 (/.f64 (*.f64 a d) c) b) (neg.f64 c)) |
(* -1 (* a d)) |
(*.f64 d (neg.f64 a)) |
(- (* b c) (* a d)) |
(fma.f64 a (neg.f64 d) (*.f64 b c)) |
(- (* b c) (* a d)) |
(fma.f64 a (neg.f64 d) (*.f64 b c)) |
(- (* b c) (* a d)) |
(fma.f64 a (neg.f64 d) (*.f64 b c)) |
(* b c) |
(*.f64 b c) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(*.f64 b (-.f64 c (/.f64 (*.f64 a d) b))) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(*.f64 b (-.f64 c (/.f64 (*.f64 a d) b))) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(*.f64 b (-.f64 c (/.f64 (*.f64 a d) b))) |
(* b c) |
(*.f64 b c) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(neg.f64 (*.f64 b (-.f64 (/.f64 (*.f64 a d) b) c))) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(neg.f64 (*.f64 b (-.f64 (/.f64 (*.f64 a d) b) c))) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(neg.f64 (*.f64 b (-.f64 (/.f64 (*.f64 a d) b) c))) |
(* b c) |
(*.f64 b c) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 a (neg.f64 d) (*.f64 b c)) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 a (neg.f64 d) (*.f64 b c)) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 a (neg.f64 d) (*.f64 b c)) |
(* -1 (* a d)) |
(*.f64 d (neg.f64 a)) |
(* d (- (/ (* b c) d) a)) |
(*.f64 d (fma.f64 c (/.f64 b d) (neg.f64 a))) |
(* d (- (/ (* b c) d) a)) |
(*.f64 d (fma.f64 c (/.f64 b d) (neg.f64 a))) |
(* d (- (/ (* b c) d) a)) |
(*.f64 d (fma.f64 c (/.f64 b d) (neg.f64 a))) |
(* -1 (* a d)) |
(*.f64 d (neg.f64 a)) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(*.f64 d (fma.f64 c (/.f64 b d) (neg.f64 a))) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(*.f64 d (fma.f64 c (/.f64 b d) (neg.f64 a))) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(*.f64 d (fma.f64 c (/.f64 b d) (neg.f64 a))) |
(* b c) |
(*.f64 b c) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 a (neg.f64 d) (*.f64 b c)) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 a (neg.f64 d) (*.f64 b c)) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 a (neg.f64 d) (*.f64 b c)) |
(* -1 (* a d)) |
(*.f64 d (neg.f64 a)) |
(* a (- (/ (* b c) a) d)) |
(*.f64 a (-.f64 (/.f64 (*.f64 b c) a) d)) |
(* a (- (/ (* b c) a) d)) |
(*.f64 a (-.f64 (/.f64 (*.f64 b c) a) d)) |
(* a (- (/ (* b c) a) d)) |
(*.f64 a (-.f64 (/.f64 (*.f64 b c) a) d)) |
(* -1 (* a d)) |
(*.f64 d (neg.f64 a)) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(*.f64 a (-.f64 (/.f64 (*.f64 b c) a) d)) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(*.f64 a (-.f64 (/.f64 (*.f64 b c) a) d)) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(*.f64 a (-.f64 (/.f64 (*.f64 b c) a) d)) |
| 5 774× | lower-/.f32 |
| 5 760× | lower-/.f64 |
| 4 622× | lower-*.f32 |
| 4 616× | lower-*.f64 |
| 3 914× | lower-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 191 |
| 0 | 46 | 193 |
| 1 | 216 | 179 |
| 2 | 1614 | 179 |
| 0 | 8500 | 179 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) |
(/.f64 c (fma.f64 d d (*.f64 c c))) |
(fma.f64 d d (*.f64 c c)) |
(*.f64 c c) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
(/.f64 b c) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) |
(/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c 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)) |
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) |
(-.f64 b (/.f64 (*.f64 d a) c)) |
(/.f64 (*.f64 d a) c) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (-.f64 (*.f64 c b) (*.f64 d a)))) |
(/.f64 (fma.f64 d d (*.f64 c c)) (-.f64 (*.f64 c b) (*.f64 d a))) |
(-.f64 (*.f64 c b) (*.f64 d a)) |
| Outputs |
|---|
(+.f64 (neg.f64 (/.f64 (*.f64 d a) (fma.f64 c c (*.f64 d d)))) (/.f64 (*.f64 c b) (fma.f64 c c (*.f64 d d)))) |
(+.f64 (/.f64 (*.f64 c b) (fma.f64 c c (*.f64 d d))) (neg.f64 (/.f64 (*.f64 d a) (fma.f64 c c (*.f64 d d))))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) (*.f64 c b)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) (neg.f64 (*.f64 d a)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a (neg.f64 d) (*.f64 c b)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (*.f64 c b) (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 d a) (fma.f64 c c (*.f64 d d)))) |
(-.f64 (/.f64 (/.f64 (*.f64 b (*.f64 c (*.f64 c b))) (*.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 c c (*.f64 d d)))) (/.f64 (-.f64 (*.f64 c b) (neg.f64 (*.f64 d a))) (fma.f64 c c (*.f64 d d)))) (/.f64 (/.f64 (*.f64 d (*.f64 a (*.f64 d a))) (*.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 c c (*.f64 d d)))) (/.f64 (-.f64 (*.f64 c b) (neg.f64 (*.f64 d a))) (fma.f64 c c (*.f64 d d))))) |
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(/.f64 (*.f64 (fma.f64 c b (*.f64 d a)) (fma.f64 a (neg.f64 d) (*.f64 c b))) (-.f64 (*.f64 c b) (neg.f64 (*.f64 d a)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 c b) (*.f64 b (*.f64 c (*.f64 c b)))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 a (*.f64 a a))))) (neg.f64 (fma.f64 (*.f64 d a) (fma.f64 c b (*.f64 d a)) (*.f64 b (*.f64 c (*.f64 c b)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 c b) (*.f64 b (*.f64 c (*.f64 c b)))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 a (*.f64 a a))))) (neg.f64 (fma.f64 c (*.f64 b (*.f64 c b)) (-.f64 (*.f64 d (*.f64 a (*.f64 d a))) (*.f64 (*.f64 c b) (neg.f64 (*.f64 d a))))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 c b (*.f64 d a)) (fma.f64 a (neg.f64 d) (*.f64 c b)))) (neg.f64 (fma.f64 c b (*.f64 d a)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 c b (*.f64 d a)) (fma.f64 a (neg.f64 d) (*.f64 c b)))) (neg.f64 (-.f64 (*.f64 c b) (neg.f64 (*.f64 d a))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 c b) (*.f64 b (*.f64 c (*.f64 c b)))) (fma.f64 (*.f64 d a) (fma.f64 c b (*.f64 d a)) (*.f64 b (*.f64 c (*.f64 c b))))) (*.f64 (fma.f64 (*.f64 d a) (fma.f64 c b (*.f64 d a)) (*.f64 b (*.f64 c (*.f64 c b)))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 a (*.f64 a a))))) (*.f64 (fma.f64 (*.f64 d a) (fma.f64 c b (*.f64 d a)) (*.f64 b (*.f64 c (*.f64 c b)))) (fma.f64 (*.f64 d a) (fma.f64 c b (*.f64 d a)) (*.f64 b (*.f64 c (*.f64 c b)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 b (*.f64 c (*.f64 c b))) (fma.f64 c b (*.f64 d a))) (*.f64 (fma.f64 c b (*.f64 d a)) (*.f64 d (*.f64 a (*.f64 d a))))) (*.f64 (fma.f64 c b (*.f64 d a)) (fma.f64 c b (*.f64 d a)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 c b) (*.f64 b (*.f64 c (*.f64 c b)))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 a (*.f64 a a)))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 d a) (fma.f64 c b (*.f64 d a)) (*.f64 b (*.f64 c (*.f64 c b))))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 c b (*.f64 d a)) (fma.f64 a (neg.f64 d) (*.f64 c b))))) (neg.f64 (neg.f64 (fma.f64 c b (*.f64 d a))))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 d a) (fma.f64 c b (*.f64 d a)) (*.f64 b (*.f64 c (*.f64 c b)))) (-.f64 (*.f64 (*.f64 c b) (*.f64 b (*.f64 c (*.f64 c b)))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 a (*.f64 a a))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 c b (*.f64 d a)) (*.f64 (fma.f64 c b (*.f64 d a)) (fma.f64 a (neg.f64 d) (*.f64 c b)))) #s(literal -1 binary64)) |
(*.f64 (-.f64 (*.f64 (*.f64 c b) (*.f64 b (*.f64 c (*.f64 c b)))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 d a) (fma.f64 c b (*.f64 d a)) (*.f64 b (*.f64 c (*.f64 c b)))))) |
(*.f64 (*.f64 (fma.f64 c b (*.f64 d a)) (fma.f64 a (neg.f64 d) (*.f64 c b))) (/.f64 #s(literal 1 binary64) (fma.f64 c b (*.f64 d a)))) |
Compiled 75 636 to 3 733 computations (95.1% saved)
23 alts after pruning (20 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 469 | 16 | 2 485 |
| Fresh | 4 | 4 | 8 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 475 | 23 | 2 498 |
| Status | Accuracy | Program |
|---|---|---|
| 29.5% | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| 37.2% | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| 20.4% | (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a))) (*.f64 (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 c b)) #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 c b)) (neg.f64 (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a))))) | |
| 36.0% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (- (* c b) (* d a)) (*.f64 d (neg.f64 a))))) | |
| 40.0% | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (- (* c b) (* d a))) (fma.f64 d (fma.f64 d (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b c)) (/.f64 (*.f64 a a) (*.f64 b (*.f64 b (*.f64 b c))))) (/.f64 a (*.f64 b b))) (/.f64 c b)))) | |
| 45.8% | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (- (* c b) (* d a))) (fma.f64 c (neg.f64 (fma.f64 c (fma.f64 b (/.f64 b (*.f64 a (*.f64 a (*.f64 a d)))) (/.f64 #s(literal 1 binary64) (*.f64 a d))) (/.f64 b (*.f64 a a)))) (/.f64 d (neg.f64 a))))) | |
| 46.9% | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (- (* c b) (* d a))) (/.f64 c b))) | |
| 48.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) | |
| ✓ | 57.8% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) |
| ▶ | 59.4% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) |
| ✓ | 36.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) |
| 23.6% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) | |
| ▶ | 19.4% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) |
| 38.4% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) | |
| ▶ | 39.6% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
| 54.6% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (fma.f64 b (neg.f64 (/.f64 (*.f64 a d) (*.f64 b c))) b)) c)) | |
| ▶ | 21.3% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) c)) |
| ✓ | 47.2% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
| 57.6% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) (-.f64 b (/.f64 (*.f64 d a) c)))) | |
| 47.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b)) | |
| 41.2% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c))))) | |
| ▶ | 45.6% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d))) |
| 19.4% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* d a) c)) c) (neg.f64 (*.f64 d (/.f64 a (*.f64 c c)))))) |
Compiled 772 to 412 computations (46.6% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 a (/.f64 (*.f64 b c) d)) | |
| cost-diff | 0 | (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d))) | |
| cost-diff | 128 | (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d)) | |
| cost-diff | 0 | (/.f64 (*.f64 d (neg.f64 a)) c) | |
| cost-diff | 0 | #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) | |
| cost-diff | 0 | (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) c) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) c)) | |
| cost-diff | 0 | (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))) | |
| cost-diff | 0 | (*.f64 d a) | |
| cost-diff | 0 | (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c)))) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) | |
| cost-diff | 0 | (neg.f64 a) | |
| cost-diff | 0 | (/.f64 (neg.f64 a) d) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) | |
| cost-diff | 0 | (*.f64 a (/.f64 d c)) | |
| cost-diff | 0 | (-.f64 b (*.f64 a (/.f64 d c))) | |
| cost-diff | 0 | (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) |
| 2 256× | lower-fma.f64 |
| 2 256× | lower-fma.f32 |
| 1 600× | lower-*.f32 |
| 1 590× | lower-*.f64 |
| 1 066× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 302 |
| 0 | 58 | 302 |
| 1 | 111 | 302 |
| 2 | 215 | 300 |
| 3 | 448 | 300 |
| 4 | 965 | 300 |
| 5 | 2768 | 300 |
| 6 | 3935 | 300 |
| 7 | 4378 | 300 |
| 8 | 4521 | 300 |
| 9 | 4561 | 300 |
| 10 | 4592 | 300 |
| 11 | 5099 | 300 |
| 12 | 5312 | 300 |
| 13 | 5312 | 300 |
| 14 | 5372 | 300 |
| 15 | 5432 | 300 |
| 16 | 5456 | 300 |
| 17 | 5456 | 300 |
| 0 | 5456 | 291 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) |
(/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) |
(-.f64 b (*.f64 a (/.f64 d c))) |
b |
(*.f64 a (/.f64 d c)) |
a |
(/.f64 d c) |
d |
c |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
(/.f64 (neg.f64 a) d) |
(neg.f64 a) |
a |
d |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) |
(/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c)))) |
(*.f64 d a) |
d |
a |
(neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))) |
#s(approx (+ (* d d) (* c c)) (*.f64 c c)) |
(*.f64 c c) |
c |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) c)) |
(/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) c) |
#s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) |
(/.f64 (*.f64 d (neg.f64 a)) c) |
(*.f64 d (neg.f64 a)) |
d |
(neg.f64 a) |
a |
c |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d))) |
(neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d)) |
(/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d) |
(-.f64 a (/.f64 (*.f64 b c) d)) |
a |
(/.f64 (*.f64 b c) d) |
(*.f64 b c) |
b |
c |
d |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) |
(/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) |
(-.f64 b (*.f64 a (/.f64 d c))) |
b |
(*.f64 a (/.f64 d c)) |
a |
(/.f64 d c) |
d |
c |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d))) |
(/.f64 (neg.f64 a) d) |
(/.f64 a (neg.f64 d)) |
(neg.f64 a) |
a |
d |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (*.f64 a d) #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) |
(/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c)))) |
(neg.f64 (/.f64 (*.f64 a d) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))) |
(*.f64 d a) |
(*.f64 a d) |
d |
a |
(neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))) |
#s(approx (+ (* d d) (* c c)) (*.f64 c c)) |
(*.f64 c c) |
c |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) c)) |
(/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) c) |
#s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) |
(/.f64 (*.f64 d (neg.f64 a)) c) |
(*.f64 d (neg.f64 a)) |
d |
(neg.f64 a) |
a |
c |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) |
(neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d)) |
(/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) |
(/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d) |
(-.f64 a (/.f64 (*.f64 b c) d)) |
a |
(/.f64 (*.f64 b c) d) |
(*.f64 b c) |
b |
c |
d |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (-.f64 a (/.f64 (*.f64 b c) d)) | |
| accuracy | 0.06640625 | (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d) | |
| accuracy | 5.459959714009276 | (/.f64 (*.f64 b c) d) | |
| accuracy | 32.77315933108899 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d))) | |
| accuracy | 1.1748425943871337 | (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) c) | |
| accuracy | 4.973948624200391 | (/.f64 (*.f64 d (neg.f64 a)) c) | |
| accuracy | 25.959686725449508 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) c)) | |
| accuracy | 33.87759472343926 | #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) | |
| accuracy | 0 | (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))) | |
| accuracy | 19.45643969681987 | (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c)))) | |
| accuracy | 26.067669508350974 | #s(approx (+ (* d d) (* c c)) (*.f64 c c)) | |
| accuracy | 28.41405665465555 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) | |
| accuracy | 0 | (/.f64 (neg.f64 a) d) | |
| accuracy | 0 | (neg.f64 a) | |
| accuracy | 38.65009747441988 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) | |
| accuracy | 0 | (-.f64 b (*.f64 a (/.f64 d c))) | |
| accuracy | 1.1748425943871337 | (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) | |
| accuracy | 5.1264163839977135 | (*.f64 a (/.f64 d c)) | |
| accuracy | 25.959686725449508 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) |
| 52.0ms | 256× | 0 | valid |
Compiled 218 to 32 computations (85.3% saved)
ival-div: 16.0ms (46% of total)ival-mult: 10.0ms (28.7% of total)ival-sub: 4.0ms (11.5% of total)ival-neg: 3.0ms (8.6% of total)ival-add: 2.0ms (5.7% 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 b (*.f64 a (/.f64 d c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) (patch (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) #<representation binary64>) () ()) |
#s(alt (-.f64 b (*.f64 a (/.f64 d c))) (patch (-.f64 b (*.f64 a (/.f64 d c))) #<representation binary64>) () ()) |
#s(alt (*.f64 a (/.f64 d c)) (patch (*.f64 a (/.f64 d c)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) #<representation binary64>) () ()) |
#s(alt (/.f64 (neg.f64 a) d) (patch (/.f64 (neg.f64 a) d) #<representation binary64>) () ()) |
#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c)))) (patch (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c)))) #<representation binary64>) () ()) |
#s(alt (*.f64 d a) (patch (*.f64 d a) #<representation binary64>) () ()) |
#s(alt (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))) (patch (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) c)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) c) (patch (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) c) #<representation binary64>) () ()) |
#s(alt #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) (patch #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 d (neg.f64 a)) c) (patch (/.f64 (*.f64 d (neg.f64 a)) c) #<representation binary64>) () ()) |
#s(alt (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d)) (patch (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d))) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d) (patch (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d) #<representation binary64>) () ()) |
#s(alt (-.f64 a (/.f64 (*.f64 b c) d)) (patch (-.f64 a (/.f64 (*.f64 b c) d)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 c c)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 c c)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 b c) d) (patch (/.f64 (*.f64 b c) d) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (taylor 0 b) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) (taylor 0 b) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) (taylor 0 b) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) (taylor 0 b) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) (+ (pow c 2) (pow d 2))) (taylor inf b) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) #<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 (-.f64 b (*.f64 a (/.f64 d c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) #<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 (-.f64 b (*.f64 a (/.f64 d c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) #<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 (-.f64 b (*.f64 a (/.f64 d c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) (+ (pow c 2) (pow d 2))) (taylor -inf b) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) (taylor -inf b) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) (taylor -inf b) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) (taylor -inf b) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 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 a (/.f64 d c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 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 a (/.f64 d c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 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 a (/.f64 d c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor inf c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ b (* -1 (/ (* a d) c))) c) (taylor inf c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) (taylor inf c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) #<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 #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor -inf c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) (taylor -inf c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) (taylor -inf c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) #<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 #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) (+ (pow c 2) (pow d 2))) (taylor 0 a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) (taylor 0 a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) (taylor 0 a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) (taylor 0 a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (taylor inf a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) (taylor inf a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) (taylor inf a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) (taylor inf a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (taylor -inf a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) (taylor -inf a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) (taylor -inf a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) (taylor -inf a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor 0 d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) (taylor 0 d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) (taylor 0 d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) (taylor 0 d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 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 a (/.f64 d c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 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 a (/.f64 d c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 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 a (/.f64 d c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.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 (-.f64 b (*.f64 a (/.f64 d c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.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 (-.f64 b (*.f64 a (/.f64 d c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.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 (-.f64 b (*.f64 a (/.f64 d c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) (pow c 2))) (taylor 0 b) (#s(alt (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) (patch (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) (taylor 0 b) (#s(alt (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) (patch (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) (taylor 0 b) (#s(alt (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) (patch (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) (taylor 0 b) (#s(alt (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) (patch (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor inf b) (#s(alt (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) (patch (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c))) (taylor inf b) (#s(alt (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) (patch (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c))) (taylor inf b) (#s(alt (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) (patch (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c))) (taylor inf b) (#s(alt (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) (patch (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor -inf b) (#s(alt (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) (patch (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c)))) (taylor -inf b) (#s(alt (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) (patch (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c)))) (taylor -inf b) (#s(alt (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) (patch (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c)))) (taylor -inf b) (#s(alt (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) (patch (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor 0 a) (#s(alt (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) (patch (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) (taylor 0 a) (#s(alt (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) (patch (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) (taylor 0 a) (#s(alt (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) (patch (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) (taylor 0 a) (#s(alt (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) (patch (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) (pow c 2))) (taylor inf a) (#s(alt (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) (patch (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c)))) (taylor inf a) (#s(alt (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) (patch (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c)))) (taylor inf a) (#s(alt (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) (patch (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c)))) (taylor inf a) (#s(alt (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) (patch (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) (pow c 2))) (taylor -inf a) (#s(alt (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) (patch (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2))))) (taylor -inf a) (#s(alt (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) (patch (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2))))) (taylor -inf a) (#s(alt (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) (patch (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2))))) (taylor -inf a) (#s(alt (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) (patch (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor 0 d) (#s(alt (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) (patch (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) (taylor 0 d) (#s(alt (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) (patch (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) (taylor 0 d) (#s(alt (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) (patch (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) (taylor 0 d) (#s(alt (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) (patch (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) (pow c 2))) (taylor inf d) (#s(alt (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) (patch (/.f64 (-.f64 b (*.f64 a (/.f64 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 a (/.f64 d c))) c) (patch (/.f64 (-.f64 b (*.f64 a (/.f64 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 a (/.f64 d c))) c) (patch (/.f64 (-.f64 b (*.f64 a (/.f64 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 a (/.f64 d c))) c) (patch (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) (pow c 2))) (taylor -inf d) (#s(alt (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) (patch (/.f64 (-.f64 b (*.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 (-.f64 b (*.f64 a (/.f64 d c))) c) (patch (/.f64 (-.f64 b (*.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 (-.f64 b (*.f64 a (/.f64 d c))) c) (patch (/.f64 (-.f64 b (*.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 (-.f64 b (*.f64 a (/.f64 d c))) c) (patch (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) (pow c 2))) (taylor 0 c) (#s(alt (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) (patch (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) (taylor 0 c) (#s(alt (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) (patch (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) (taylor 0 c) (#s(alt (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) (patch (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) (taylor 0 c) (#s(alt (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) (patch (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor inf c) (#s(alt (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) (patch (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ b (* -1 (/ (* a d) c))) c) (taylor inf c) (#s(alt (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) (patch (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ b (* -1 (/ (* a d) c))) c) (taylor inf c) (#s(alt (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) (patch (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ b (* -1 (/ (* a d) c))) c) (taylor inf c) (#s(alt (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) (patch (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor -inf c) (#s(alt (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) (patch (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) (taylor -inf c) (#s(alt (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) (patch (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) (taylor -inf c) (#s(alt (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) (patch (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) (taylor -inf c) (#s(alt (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) (patch (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) c)) (taylor 0 b) (#s(alt (-.f64 b (*.f64 a (/.f64 d c))) (patch (-.f64 b (*.f64 a (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (- b (/ (* a d) c)) (taylor 0 b) (#s(alt (-.f64 b (*.f64 a (/.f64 d c))) (patch (-.f64 b (*.f64 a (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (- b (/ (* a d) c)) (taylor 0 b) (#s(alt (-.f64 b (*.f64 a (/.f64 d c))) (patch (-.f64 b (*.f64 a (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (- b (/ (* a d) c)) (taylor 0 b) (#s(alt (-.f64 b (*.f64 a (/.f64 d c))) (patch (-.f64 b (*.f64 a (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt b (taylor inf b) (#s(alt (-.f64 b (*.f64 a (/.f64 d c))) (patch (-.f64 b (*.f64 a (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ 1 (* -1 (/ (* a d) (* b c))))) (taylor inf b) (#s(alt (-.f64 b (*.f64 a (/.f64 d c))) (patch (-.f64 b (*.f64 a (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ 1 (* -1 (/ (* a d) (* b c))))) (taylor inf b) (#s(alt (-.f64 b (*.f64 a (/.f64 d c))) (patch (-.f64 b (*.f64 a (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ 1 (* -1 (/ (* a d) (* b c))))) (taylor inf b) (#s(alt (-.f64 b (*.f64 a (/.f64 d c))) (patch (-.f64 b (*.f64 a (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt b (taylor -inf b) (#s(alt (-.f64 b (*.f64 a (/.f64 d c))) (patch (-.f64 b (*.f64 a (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (- (/ (* a d) (* b c)) 1))) (taylor -inf b) (#s(alt (-.f64 b (*.f64 a (/.f64 d c))) (patch (-.f64 b (*.f64 a (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (- (/ (* a d) (* b c)) 1))) (taylor -inf b) (#s(alt (-.f64 b (*.f64 a (/.f64 d c))) (patch (-.f64 b (*.f64 a (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (- (/ (* a d) (* b c)) 1))) (taylor -inf b) (#s(alt (-.f64 b (*.f64 a (/.f64 d c))) (patch (-.f64 b (*.f64 a (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt b (taylor 0 a) (#s(alt (-.f64 b (*.f64 a (/.f64 d c))) (patch (-.f64 b (*.f64 a (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (+ b (* -1 (/ (* a d) c))) (taylor 0 a) (#s(alt (-.f64 b (*.f64 a (/.f64 d c))) (patch (-.f64 b (*.f64 a (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (+ b (* -1 (/ (* a d) c))) (taylor 0 a) (#s(alt (-.f64 b (*.f64 a (/.f64 d c))) (patch (-.f64 b (*.f64 a (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (+ b (* -1 (/ (* a d) c))) (taylor 0 a) (#s(alt (-.f64 b (*.f64 a (/.f64 d c))) (patch (-.f64 b (*.f64 a (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) c)) (taylor inf a) (#s(alt (-.f64 b (*.f64 a (/.f64 d c))) (patch (-.f64 b (*.f64 a (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (* a (- (/ b a) (/ d c))) (taylor inf a) (#s(alt (-.f64 b (*.f64 a (/.f64 d c))) (patch (-.f64 b (*.f64 a (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (* a (- (/ b a) (/ d c))) (taylor inf a) (#s(alt (-.f64 b (*.f64 a (/.f64 d c))) (patch (-.f64 b (*.f64 a (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (* a (- (/ b a) (/ d c))) (taylor inf a) (#s(alt (-.f64 b (*.f64 a (/.f64 d c))) (patch (-.f64 b (*.f64 a (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) c)) (taylor -inf a) (#s(alt (-.f64 b (*.f64 a (/.f64 d c))) (patch (-.f64 b (*.f64 a (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (- (* -1 (/ b a)) (* -1 (/ d c))))) (taylor -inf a) (#s(alt (-.f64 b (*.f64 a (/.f64 d c))) (patch (-.f64 b (*.f64 a (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (- (* -1 (/ b a)) (* -1 (/ d c))))) (taylor -inf a) (#s(alt (-.f64 b (*.f64 a (/.f64 d c))) (patch (-.f64 b (*.f64 a (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (- (* -1 (/ b a)) (* -1 (/ d c))))) (taylor -inf a) (#s(alt (-.f64 b (*.f64 a (/.f64 d c))) (patch (-.f64 b (*.f64 a (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt b (taylor 0 d) (#s(alt (-.f64 b (*.f64 a (/.f64 d c))) (patch (-.f64 b (*.f64 a (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (+ b (* -1 (/ (* a d) c))) (taylor 0 d) (#s(alt (-.f64 b (*.f64 a (/.f64 d c))) (patch (-.f64 b (*.f64 a (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (+ b (* -1 (/ (* a d) c))) (taylor 0 d) (#s(alt (-.f64 b (*.f64 a (/.f64 d c))) (patch (-.f64 b (*.f64 a (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (+ b (* -1 (/ (* a d) c))) (taylor 0 d) (#s(alt (-.f64 b (*.f64 a (/.f64 d c))) (patch (-.f64 b (*.f64 a (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) c)) (taylor inf d) (#s(alt (-.f64 b (*.f64 a (/.f64 d c))) (patch (-.f64 b (*.f64 a (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (* d (- (/ b d) (/ a c))) (taylor inf d) (#s(alt (-.f64 b (*.f64 a (/.f64 d c))) (patch (-.f64 b (*.f64 a (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (* d (- (/ b d) (/ a c))) (taylor inf d) (#s(alt (-.f64 b (*.f64 a (/.f64 d c))) (patch (-.f64 b (*.f64 a (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (* d (- (/ b d) (/ a c))) (taylor inf d) (#s(alt (-.f64 b (*.f64 a (/.f64 d c))) (patch (-.f64 b (*.f64 a (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) c)) (taylor -inf d) (#s(alt (-.f64 b (*.f64 a (/.f64 d c))) (patch (-.f64 b (*.f64 a (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) (taylor -inf d) (#s(alt (-.f64 b (*.f64 a (/.f64 d c))) (patch (-.f64 b (*.f64 a (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) (taylor -inf d) (#s(alt (-.f64 b (*.f64 a (/.f64 d c))) (patch (-.f64 b (*.f64 a (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) (taylor -inf d) (#s(alt (-.f64 b (*.f64 a (/.f64 d c))) (patch (-.f64 b (*.f64 a (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) c)) (taylor 0 c) (#s(alt (-.f64 b (*.f64 a (/.f64 d c))) (patch (-.f64 b (*.f64 a (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* b c) (* a d)) c) (taylor 0 c) (#s(alt (-.f64 b (*.f64 a (/.f64 d c))) (patch (-.f64 b (*.f64 a (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* b c) (* a d)) c) (taylor 0 c) (#s(alt (-.f64 b (*.f64 a (/.f64 d c))) (patch (-.f64 b (*.f64 a (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* b c) (* a d)) c) (taylor 0 c) (#s(alt (-.f64 b (*.f64 a (/.f64 d c))) (patch (-.f64 b (*.f64 a (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt b (taylor inf c) (#s(alt (-.f64 b (*.f64 a (/.f64 d c))) (patch (-.f64 b (*.f64 a (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (+ b (* -1 (/ (* a d) c))) (taylor inf c) (#s(alt (-.f64 b (*.f64 a (/.f64 d c))) (patch (-.f64 b (*.f64 a (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (+ b (* -1 (/ (* a d) c))) (taylor inf c) (#s(alt (-.f64 b (*.f64 a (/.f64 d c))) (patch (-.f64 b (*.f64 a (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (+ b (* -1 (/ (* a d) c))) (taylor inf c) (#s(alt (-.f64 b (*.f64 a (/.f64 d c))) (patch (-.f64 b (*.f64 a (/.f64 d c))) #<representation binary64>) () ())) ()) |
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#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))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) 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))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d))) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor inf c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ b (* -1 (/ (* a d) c))) c) (taylor inf c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) 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 #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) 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 #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d))) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor -inf c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) (taylor -inf c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) 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 #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) 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 #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) (+ (pow c 2) (pow d 2))) (taylor 0 a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) (taylor 0 a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) (taylor 0 a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) (taylor 0 a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (taylor inf a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) (taylor inf a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) (taylor inf a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) (taylor inf a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (taylor -inf a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) (taylor -inf a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) (taylor -inf a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) (taylor -inf a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d))) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor 0 d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) (taylor 0 d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) (taylor 0 d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) (taylor 0 d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) 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))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) 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))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) 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))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) 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))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) 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))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) 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 #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ (* b c) (pow d 2))) (taylor inf b) (#s(alt (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d) (patch (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d) #<representation binary64>) () ())) ()) |
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#s(alt (* b (+ (* -1 (/ c (pow d 2))) (/ a (* b d)))) (taylor inf b) (#s(alt (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d) (patch (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2))))) (taylor -inf b) (#s(alt (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d) (patch (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d) #<representation binary64>) () ())) ()) |
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#s(alt (/ a d) (taylor 0 c) (#s(alt (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d) (patch (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* b c) (pow d 2))) (/ a d)) (taylor 0 c) (#s(alt (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d) (patch (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* b c) (pow d 2))) (/ a d)) (taylor 0 c) (#s(alt (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d) (patch (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* b c) (pow d 2))) (/ a d)) (taylor 0 c) (#s(alt (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d) (patch (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* b c) (pow d 2))) (taylor inf c) (#s(alt (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d) (patch (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1 (/ b (pow d 2))) (/ a (* c d)))) (taylor inf c) (#s(alt (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d) (patch (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1 (/ b (pow d 2))) (/ a (* c d)))) (taylor inf c) (#s(alt (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d) (patch (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1 (/ b (pow d 2))) (/ a (* c d)))) (taylor inf c) (#s(alt (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d) (patch (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* b c) (pow d 2))) (taylor -inf c) (#s(alt (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d) (patch (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2))))) (taylor -inf c) (#s(alt (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d) (patch (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2))))) (taylor -inf c) (#s(alt (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d) (patch (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2))))) (taylor -inf c) (#s(alt (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d) (patch (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* b c) (pow d 2))) (taylor 0 d) (#s(alt (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d) (patch (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* b c)) (* a d)) (pow d 2)) (taylor 0 d) (#s(alt (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d) (patch (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* b c)) (* a d)) (pow d 2)) (taylor 0 d) (#s(alt (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d) (patch (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* b c)) (* a d)) (pow d 2)) (taylor 0 d) (#s(alt (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d) (patch (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d) #<representation binary64>) () ())) ()) |
#s(alt (/ a d) (taylor inf d) (#s(alt (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d) (patch (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ a (* -1 (/ (* b c) d))) d) (taylor inf d) (#s(alt (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d) (patch (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ a (* -1 (/ (* b c) d))) d) (taylor inf d) (#s(alt (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d) (patch (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ a (* -1 (/ (* b c) d))) d) (taylor inf d) (#s(alt (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d) (patch (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d) #<representation binary64>) () ())) ()) |
#s(alt (/ a d) (taylor -inf d) (#s(alt (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d) (patch (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ (+ (* -1 a) (/ (* b c) d)) d)) (taylor -inf d) (#s(alt (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d) (patch (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d) #<representation binary64>) () ())) ()) |
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#s(alt (- a (/ (* b c) d)) (taylor 0 a) (#s(alt (-.f64 a (/.f64 (*.f64 b c) d)) (patch (-.f64 a (/.f64 (*.f64 b c) d)) #<representation binary64>) () ())) ()) |
#s(alt (- a (/ (* b c) d)) (taylor 0 a) (#s(alt (-.f64 a (/.f64 (*.f64 b c) d)) (patch (-.f64 a (/.f64 (*.f64 b c) d)) #<representation binary64>) () ())) ()) |
#s(alt (- a (/ (* b c) d)) (taylor 0 a) (#s(alt (-.f64 a (/.f64 (*.f64 b c) d)) (patch (-.f64 a (/.f64 (*.f64 b c) d)) #<representation binary64>) () ())) ()) |
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#s(alt (+ a (* -1 (/ (* b c) d))) (taylor 0 b) (#s(alt (-.f64 a (/.f64 (*.f64 b c) d)) (patch (-.f64 a (/.f64 (*.f64 b c) d)) #<representation binary64>) () ())) ()) |
#s(alt (+ a (* -1 (/ (* b c) d))) (taylor 0 b) (#s(alt (-.f64 a (/.f64 (*.f64 b c) d)) (patch (-.f64 a (/.f64 (*.f64 b c) d)) #<representation binary64>) () ())) ()) |
#s(alt (+ a (* -1 (/ (* b c) d))) (taylor 0 b) (#s(alt (-.f64 a (/.f64 (*.f64 b c) d)) (patch (-.f64 a (/.f64 (*.f64 b c) d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* b c) d)) (taylor inf b) (#s(alt (-.f64 a (/.f64 (*.f64 b c) d)) (patch (-.f64 a (/.f64 (*.f64 b c) d)) #<representation binary64>) () ())) ()) |
#s(alt (* b (- (/ a b) (/ c d))) (taylor inf b) (#s(alt (-.f64 a (/.f64 (*.f64 b c) d)) (patch (-.f64 a (/.f64 (*.f64 b c) d)) #<representation binary64>) () ())) ()) |
#s(alt (* b (- (/ a b) (/ c d))) (taylor inf b) (#s(alt (-.f64 a (/.f64 (*.f64 b c) d)) (patch (-.f64 a (/.f64 (*.f64 b c) d)) #<representation binary64>) () ())) ()) |
#s(alt (* b (- (/ a b) (/ c d))) (taylor inf b) (#s(alt (-.f64 a (/.f64 (*.f64 b c) d)) (patch (-.f64 a (/.f64 (*.f64 b c) d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* b c) d)) (taylor -inf b) (#s(alt (-.f64 a (/.f64 (*.f64 b c) d)) (patch (-.f64 a (/.f64 (*.f64 b c) d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (- (* -1 (/ a b)) (* -1 (/ c d))))) (taylor -inf b) (#s(alt (-.f64 a (/.f64 (*.f64 b c) d)) (patch (-.f64 a (/.f64 (*.f64 b c) d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (- (* -1 (/ a b)) (* -1 (/ c d))))) (taylor -inf b) (#s(alt (-.f64 a (/.f64 (*.f64 b c) d)) (patch (-.f64 a (/.f64 (*.f64 b c) d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (- (* -1 (/ a b)) (* -1 (/ c d))))) (taylor -inf b) (#s(alt (-.f64 a (/.f64 (*.f64 b c) d)) (patch (-.f64 a (/.f64 (*.f64 b c) d)) #<representation binary64>) () ())) ()) |
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#s(alt (+ a (* -1 (/ (* b c) d))) (taylor 0 c) (#s(alt (-.f64 a (/.f64 (*.f64 b c) d)) (patch (-.f64 a (/.f64 (*.f64 b c) d)) #<representation binary64>) () ())) ()) |
#s(alt (+ a (* -1 (/ (* b c) d))) (taylor 0 c) (#s(alt (-.f64 a (/.f64 (*.f64 b c) d)) (patch (-.f64 a (/.f64 (*.f64 b c) d)) #<representation binary64>) () ())) ()) |
#s(alt (+ a (* -1 (/ (* b c) d))) (taylor 0 c) (#s(alt (-.f64 a (/.f64 (*.f64 b c) d)) (patch (-.f64 a (/.f64 (*.f64 b c) d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* b c) d)) (taylor inf c) (#s(alt (-.f64 a (/.f64 (*.f64 b c) d)) (patch (-.f64 a (/.f64 (*.f64 b c) d)) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (/ a c) (/ b d))) (taylor inf c) (#s(alt (-.f64 a (/.f64 (*.f64 b c) d)) (patch (-.f64 a (/.f64 (*.f64 b c) d)) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (/ a c) (/ b d))) (taylor inf c) (#s(alt (-.f64 a (/.f64 (*.f64 b c) d)) (patch (-.f64 a (/.f64 (*.f64 b c) d)) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (/ a c) (/ b d))) (taylor inf c) (#s(alt (-.f64 a (/.f64 (*.f64 b c) d)) (patch (-.f64 a (/.f64 (*.f64 b c) d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* b c) d)) (taylor -inf c) (#s(alt (-.f64 a (/.f64 (*.f64 b c) d)) (patch (-.f64 a (/.f64 (*.f64 b c) d)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* c (- (* -1 (/ a c)) (* -1 (/ b d))))) (taylor -inf c) (#s(alt (-.f64 a (/.f64 (*.f64 b c) d)) (patch (-.f64 a (/.f64 (*.f64 b c) d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* b c) d)) (taylor 0 d) (#s(alt (-.f64 a (/.f64 (*.f64 b c) d)) (patch (-.f64 a (/.f64 (*.f64 b c) d)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* a d) (* b c)) d) (taylor 0 d) (#s(alt (-.f64 a (/.f64 (*.f64 b c) d)) (patch (-.f64 a (/.f64 (*.f64 b c) d)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* a d) (* b c)) d) (taylor 0 d) (#s(alt (-.f64 a (/.f64 (*.f64 b c) d)) (patch (-.f64 a (/.f64 (*.f64 b c) d)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* a d) (* b c)) d) (taylor 0 d) (#s(alt (-.f64 a (/.f64 (*.f64 b c) d)) (patch (-.f64 a (/.f64 (*.f64 b c) d)) #<representation binary64>) () ())) ()) |
#s(alt a (taylor inf d) (#s(alt (-.f64 a (/.f64 (*.f64 b c) d)) (patch (-.f64 a (/.f64 (*.f64 b c) d)) #<representation binary64>) () ())) ()) |
#s(alt (+ a (* -1 (/ (* b c) d))) (taylor inf d) (#s(alt (-.f64 a (/.f64 (*.f64 b c) d)) (patch (-.f64 a (/.f64 (*.f64 b c) d)) #<representation binary64>) () ())) ()) |
#s(alt (+ a (* -1 (/ (* b c) d))) (taylor inf d) (#s(alt (-.f64 a (/.f64 (*.f64 b c) d)) (patch (-.f64 a (/.f64 (*.f64 b c) d)) #<representation binary64>) () ())) ()) |
#s(alt (+ a (* -1 (/ (* b c) d))) (taylor inf d) (#s(alt (-.f64 a (/.f64 (*.f64 b c) d)) (patch (-.f64 a (/.f64 (*.f64 b c) d)) #<representation binary64>) () ())) ()) |
#s(alt a (taylor -inf d) (#s(alt (-.f64 a (/.f64 (*.f64 b c) d)) (patch (-.f64 a (/.f64 (*.f64 b c) d)) #<representation binary64>) () ())) ()) |
#s(alt (+ a (* -1 (/ (* b c) d))) (taylor -inf d) (#s(alt (-.f64 a (/.f64 (*.f64 b c) d)) (patch (-.f64 a (/.f64 (*.f64 b c) d)) #<representation binary64>) () ())) ()) |
#s(alt (+ a (* -1 (/ (* b c) d))) (taylor -inf d) (#s(alt (-.f64 a (/.f64 (*.f64 b c) d)) (patch (-.f64 a (/.f64 (*.f64 b c) d)) #<representation binary64>) () ())) ()) |
#s(alt (+ a (* -1 (/ (* b c) d))) (taylor -inf d) (#s(alt (-.f64 a (/.f64 (*.f64 b c) d)) (patch (-.f64 a (/.f64 (*.f64 b c) d)) #<representation binary64>) () ())) ()) |
#s(alt (pow c 2) (taylor 0 d) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 c c)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 d) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 c c)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 d) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 c c)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 d) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 c c)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (pow d 2) (taylor inf d) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 c c)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor inf d) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 c c)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor inf d) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 c c)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor inf d) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 c c)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (pow d 2) (taylor -inf d) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 c c)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 c c)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 c c)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 c c)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (pow d 2) (taylor 0 c) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 c c)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 c c)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 c c)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 c c)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (pow c 2) (taylor inf c) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 c c)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor inf c) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 c c)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor inf c) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 c c)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor inf c) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 c c)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (pow c 2) (taylor -inf c) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 c c)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor -inf c) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 c c)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor -inf c) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 c c)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor -inf c) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 c c)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) d) (taylor 0 b) (#s(alt (/.f64 (*.f64 b c) d) (patch (/.f64 (*.f64 b c) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) d) (taylor 0 b) (#s(alt (/.f64 (*.f64 b c) d) (patch (/.f64 (*.f64 b c) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) d) (taylor 0 b) (#s(alt (/.f64 (*.f64 b c) d) (patch (/.f64 (*.f64 b c) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) d) (taylor 0 b) (#s(alt (/.f64 (*.f64 b c) d) (patch (/.f64 (*.f64 b c) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) d) (taylor inf b) (#s(alt (/.f64 (*.f64 b c) d) (patch (/.f64 (*.f64 b c) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) d) (taylor inf b) (#s(alt (/.f64 (*.f64 b c) d) (patch (/.f64 (*.f64 b c) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) d) (taylor inf b) (#s(alt (/.f64 (*.f64 b c) d) (patch (/.f64 (*.f64 b c) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) d) (taylor inf b) (#s(alt (/.f64 (*.f64 b c) d) (patch (/.f64 (*.f64 b c) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) d) (taylor -inf b) (#s(alt (/.f64 (*.f64 b c) d) (patch (/.f64 (*.f64 b c) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) d) (taylor -inf b) (#s(alt (/.f64 (*.f64 b c) d) (patch (/.f64 (*.f64 b c) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) d) (taylor -inf b) (#s(alt (/.f64 (*.f64 b c) d) (patch (/.f64 (*.f64 b c) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) d) (taylor -inf b) (#s(alt (/.f64 (*.f64 b c) d) (patch (/.f64 (*.f64 b c) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) d) (taylor 0 c) (#s(alt (/.f64 (*.f64 b c) d) (patch (/.f64 (*.f64 b c) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) d) (taylor 0 c) (#s(alt (/.f64 (*.f64 b c) d) (patch (/.f64 (*.f64 b c) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) d) (taylor 0 c) (#s(alt (/.f64 (*.f64 b c) d) (patch (/.f64 (*.f64 b c) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) d) (taylor 0 c) (#s(alt (/.f64 (*.f64 b c) d) (patch (/.f64 (*.f64 b c) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) d) (taylor inf c) (#s(alt (/.f64 (*.f64 b c) d) (patch (/.f64 (*.f64 b c) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) d) (taylor inf c) (#s(alt (/.f64 (*.f64 b c) d) (patch (/.f64 (*.f64 b c) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) d) (taylor inf c) (#s(alt (/.f64 (*.f64 b c) d) (patch (/.f64 (*.f64 b c) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) d) (taylor inf c) (#s(alt (/.f64 (*.f64 b c) d) (patch (/.f64 (*.f64 b c) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) d) (taylor -inf c) (#s(alt (/.f64 (*.f64 b c) d) (patch (/.f64 (*.f64 b c) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) d) (taylor -inf c) (#s(alt (/.f64 (*.f64 b c) d) (patch (/.f64 (*.f64 b c) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) d) (taylor -inf c) (#s(alt (/.f64 (*.f64 b c) d) (patch (/.f64 (*.f64 b c) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) d) (taylor -inf c) (#s(alt (/.f64 (*.f64 b c) d) (patch (/.f64 (*.f64 b c) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) d) (taylor 0 d) (#s(alt (/.f64 (*.f64 b c) d) (patch (/.f64 (*.f64 b c) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) d) (taylor 0 d) (#s(alt (/.f64 (*.f64 b c) d) (patch (/.f64 (*.f64 b c) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) d) (taylor 0 d) (#s(alt (/.f64 (*.f64 b c) d) (patch (/.f64 (*.f64 b c) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) d) (taylor 0 d) (#s(alt (/.f64 (*.f64 b c) d) (patch (/.f64 (*.f64 b c) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) d) (taylor inf d) (#s(alt (/.f64 (*.f64 b c) d) (patch (/.f64 (*.f64 b c) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) d) (taylor inf d) (#s(alt (/.f64 (*.f64 b c) d) (patch (/.f64 (*.f64 b c) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) d) (taylor inf d) (#s(alt (/.f64 (*.f64 b c) d) (patch (/.f64 (*.f64 b c) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) d) (taylor inf d) (#s(alt (/.f64 (*.f64 b c) d) (patch (/.f64 (*.f64 b c) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) d) (taylor -inf d) (#s(alt (/.f64 (*.f64 b c) d) (patch (/.f64 (*.f64 b c) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) d) (taylor -inf d) (#s(alt (/.f64 (*.f64 b c) d) (patch (/.f64 (*.f64 b c) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) d) (taylor -inf d) (#s(alt (/.f64 (*.f64 b c) d) (patch (/.f64 (*.f64 b c) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) d) (taylor -inf d) (#s(alt (/.f64 (*.f64 b c) d) (patch (/.f64 (*.f64 b c) d) #<representation binary64>) () ())) ()) |
207 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 16.0ms | b | @ | 0 | (/ (- a (/ (* b c) d)) d) |
| 5.0ms | b | @ | -inf | (neg (/ (- a (/ (* b c) d)) d)) |
| 1.0ms | a | @ | -inf | (neg (/ (- a (/ (* b c) d)) d)) |
| 1.0ms | d | @ | -inf | (neg (/ (- a (/ (* b c) d)) d)) |
| 0.0ms | a | @ | 0 | (/ (neg a) d) |
| 1× | egg-herbie |
| 12 172× | lower-fma.f64 |
| 12 172× | lower-fma.f32 |
| 5 020× | lower-*.f64 |
| 5 020× | lower-*.f32 |
| 2 796× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 381 | 9505 |
| 1 | 1211 | 9086 |
| 2 | 3856 | 8972 |
| 0 | 8161 | 8643 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(/ (* b c) (+ (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 (/ 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 (* -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) |
(* -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 c 2) (pow d 2))) |
(+ (* -1 (/ (* a 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) (+ (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)) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(* -1 (/ (* a d) (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 (+ (* -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) |
(* -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) |
(+ (* -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))) |
(* 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 (+ (* -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))))) |
(/ 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))) |
(* 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 (* 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)) (* b c)) (pow c 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (* -1 (/ (* a d) 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) c)) |
(- b (/ (* a d) c)) |
(- b (/ (* a d) c)) |
(- b (/ (* a d) c)) |
b |
(* b (+ 1 (* -1 (/ (* a d) (* b c))))) |
(* b (+ 1 (* -1 (/ (* a d) (* b c))))) |
(* b (+ 1 (* -1 (/ (* a d) (* b c))))) |
b |
(* -1 (* b (- (/ (* a d) (* b c)) 1))) |
(* -1 (* b (- (/ (* a d) (* b c)) 1))) |
(* -1 (* b (- (/ (* a d) (* b c)) 1))) |
b |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) 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 (- (* -1 (/ b a)) (* -1 (/ d c))))) |
(* -1 (* a (- (* -1 (/ b a)) (* -1 (/ d c))))) |
(* -1 (* a (- (* -1 (/ b a)) (* -1 (/ d c))))) |
b |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(* -1 (/ (* a d) c)) |
(* d (- (/ b d) (/ a c))) |
(* d (- (/ b d) (/ a c))) |
(* d (- (/ b d) (/ a c))) |
(* -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)) |
(/ (- (* b c) (* a d)) c) |
(/ (- (* b c) (* a d)) c) |
(/ (- (* b c) (* a d)) c) |
b |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) 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) |
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b |
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(* b (+ 1 (* -1 (/ (* a d) (* b c))))) |
b |
(* -1 (* b (- (/ (* a d) (* b c)) 1))) |
(* -1 (* b (- (/ (* a d) (* b c)) 1))) |
(* -1 (* b (- (/ (* a d) (* b c)) 1))) |
b |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(* -1 (/ (* a d) c)) |
(* d (- (/ b d) (/ a c))) |
(* d (- (/ b d) (/ a c))) |
(* d (- (/ b d) (/ a c))) |
(* -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))))) |
b |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) 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 (- (* -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)) |
(/ (- (* b c) (* a d)) c) |
(/ (- (* b c) (* a d)) c) |
(/ (- (* b c) (* a d)) c) |
b |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) 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)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -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))) |
(* -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)) |
(* -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)) |
(- (/ (* b c) (pow d 2)) (/ a d)) |
(- (/ (* b c) (pow d 2)) (/ a d)) |
(- (/ (* b c) (pow d 2)) (/ a d)) |
(/ (* 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 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))))) |
(* -1 (/ a d)) |
(- (/ (* b c) (pow d 2)) (/ a d)) |
(- (/ (* b c) (pow d 2)) (/ a d)) |
(- (/ (* b c) (pow d 2)) (/ a d)) |
(/ (* 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) (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) (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)) |
(* -1 (/ a d)) |
(/ (- (/ (* b c) d) a) d) |
(/ (- (/ (* b c) d) a) d) |
(/ (- (/ (* b c) d) a) d) |
(* -1 (/ a d)) |
(* -1 (/ (- (* -1 (/ (* b c) d)) (* -1 a)) d)) |
(* -1 (/ (- (* -1 (/ (* b c) d)) (* -1 a)) d)) |
(* -1 (/ (- (* -1 (/ (* b c) d)) (* -1 a)) d)) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (/ 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 (* -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) |
(* -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 c 2) (pow d 2))) |
(+ (* -1 (/ (* a 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) (+ (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)) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(* -1 (/ (* b c) (pow d 2))) |
(+ (* -1 (/ (* b c) (pow d 2))) (/ a d)) |
(+ (* -1 (/ (* b c) (pow d 2))) (/ a d)) |
(+ (* -1 (/ (* b c) (pow d 2))) (/ a d)) |
(/ a d) |
(* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (/ 1 d))) |
(* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (/ 1 d))) |
(* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (/ 1 d))) |
(/ a d) |
(* -1 (* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d)))) |
(* -1 (* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d)))) |
(* -1 (* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d)))) |
(/ a d) |
(+ (* -1 (/ (* b c) (pow d 2))) (/ a d)) |
(+ (* -1 (/ (* b c) (pow d 2))) (/ a d)) |
(+ (* -1 (/ (* b c) (pow d 2))) (/ a d)) |
(* -1 (/ (* b c) (pow d 2))) |
(* b (+ (* -1 (/ c (pow d 2))) (/ a (* b d)))) |
(* b (+ (* -1 (/ c (pow d 2))) (/ a (* b d)))) |
(* b (+ (* -1 (/ c (pow d 2))) (/ a (* b d)))) |
(* -1 (/ (* b c) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2))))) |
(* -1 (* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2))))) |
(* -1 (* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2))))) |
(/ a d) |
(+ (* -1 (/ (* b c) (pow d 2))) (/ a d)) |
(+ (* -1 (/ (* b c) (pow d 2))) (/ a d)) |
(+ (* -1 (/ (* b c) (pow d 2))) (/ a d)) |
(* -1 (/ (* b c) (pow d 2))) |
(* c (+ (* -1 (/ b (pow d 2))) (/ a (* c d)))) |
(* c (+ (* -1 (/ b (pow d 2))) (/ a (* c d)))) |
(* c (+ (* -1 (/ b (pow d 2))) (/ a (* c d)))) |
(* -1 (/ (* b c) (pow d 2))) |
(* -1 (* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2))))) |
(* -1 (* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2))))) |
(* -1 (* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2))))) |
(* -1 (/ (* b c) (pow d 2))) |
(/ (+ (* -1 (* b c)) (* a d)) (pow d 2)) |
(/ (+ (* -1 (* b c)) (* a d)) (pow d 2)) |
(/ (+ (* -1 (* b c)) (* a d)) (pow d 2)) |
(/ a d) |
(/ (+ a (* -1 (/ (* b c) d))) d) |
(/ (+ a (* -1 (/ (* b c) d))) d) |
(/ (+ a (* -1 (/ (* b c) d))) d) |
(/ a d) |
(* -1 (/ (+ (* -1 a) (/ (* b c) d)) d)) |
(* -1 (/ (+ (* -1 a) (/ (* b c) d)) d)) |
(* -1 (/ (+ (* -1 a) (/ (* b c) d)) d)) |
(* -1 (/ (* b c) d)) |
(- a (/ (* b c) d)) |
(- a (/ (* b c) d)) |
(- a (/ (* b c) d)) |
a |
(* a (+ 1 (* -1 (/ (* b c) (* a d))))) |
(* a (+ 1 (* -1 (/ (* b c) (* a d))))) |
(* a (+ 1 (* -1 (/ (* b c) (* a d))))) |
a |
(* -1 (* a (- (/ (* b c) (* a d)) 1))) |
(* -1 (* a (- (/ (* b c) (* a d)) 1))) |
(* -1 (* a (- (/ (* b c) (* a d)) 1))) |
a |
(+ a (* -1 (/ (* b c) d))) |
(+ a (* -1 (/ (* b c) d))) |
(+ a (* -1 (/ (* b c) d))) |
(* -1 (/ (* b c) d)) |
(* b (- (/ a b) (/ c d))) |
(* b (- (/ a b) (/ c d))) |
(* b (- (/ a b) (/ c d))) |
(* -1 (/ (* b c) d)) |
(* -1 (* b (- (* -1 (/ a b)) (* -1 (/ c d))))) |
(* -1 (* b (- (* -1 (/ a b)) (* -1 (/ c d))))) |
(* -1 (* b (- (* -1 (/ a b)) (* -1 (/ c d))))) |
a |
(+ a (* -1 (/ (* b c) d))) |
(+ a (* -1 (/ (* b c) d))) |
(+ a (* -1 (/ (* b c) d))) |
(* -1 (/ (* b c) d)) |
(* c (- (/ a c) (/ b d))) |
(* c (- (/ a c) (/ b d))) |
(* c (- (/ a c) (/ b d))) |
(* -1 (/ (* b c) d)) |
(* -1 (* c (- (* -1 (/ a c)) (* -1 (/ b d))))) |
(* -1 (* c (- (* -1 (/ a c)) (* -1 (/ b d))))) |
(* -1 (* c (- (* -1 (/ a c)) (* -1 (/ b d))))) |
(* -1 (/ (* b c) d)) |
(/ (- (* a d) (* b c)) d) |
(/ (- (* a d) (* b c)) d) |
(/ (- (* a d) (* b c)) d) |
a |
(+ a (* -1 (/ (* b c) d))) |
(+ a (* -1 (/ (* b c) d))) |
(+ a (* -1 (/ (* b c) d))) |
a |
(+ a (* -1 (/ (* b c) d))) |
(+ a (* -1 (/ (* b c) d))) |
(+ a (* -1 (/ (* b c) d))) |
(pow c 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(pow d 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 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) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
| Outputs |
|---|
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(neg.f64 (*.f64 a (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(-.f64 (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (*.f64 a (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(-.f64 (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (*.f64 a (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(-.f64 (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (*.f64 a (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(*.f64 b (-.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a d) (*.f64 (fma.f64 d d (*.f64 c c)) b)))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(*.f64 b (-.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a d) (*.f64 (fma.f64 d d (*.f64 c c)) b)))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(*.f64 b (-.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a d) (*.f64 (fma.f64 d d (*.f64 c c)) b)))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(*.f64 b (-.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a d) (*.f64 (fma.f64 d d (*.f64 c c)) b)))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(*.f64 b (-.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a d) (*.f64 (fma.f64 d d (*.f64 c c)) b)))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(*.f64 b (-.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a d) (*.f64 (fma.f64 d d (*.f64 c c)) b)))) |
(* -1 (/ a d)) |
(/.f64 a (neg.f64 d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (fma.f64 a (neg.f64 d) (*.f64 c b)) (*.f64 d d)) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(fma.f64 c (/.f64 b (*.f64 d d)) (*.f64 (/.f64 a d) (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64)))) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(fma.f64 (*.f64 c c) (-.f64 (/.f64 a (*.f64 d (*.f64 d d))) (/.f64 (*.f64 c b) (*.f64 (*.f64 d d) (*.f64 d d)))) (/.f64 (fma.f64 a (neg.f64 d) (*.f64 c b)) (*.f64 d d))) |
(/ b c) |
(/.f64 b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/.f64 (fma.f64 a (neg.f64 d) (*.f64 c b)) (*.f64 c c)) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/.f64 (-.f64 (/.f64 (fma.f64 a d (/.f64 (*.f64 (*.f64 d d) b) c)) c) b) (neg.f64 c)) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(/.f64 (-.f64 (fma.f64 (/.f64 a c) (-.f64 (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c c)) d) b) (/.f64 (*.f64 (*.f64 d d) b) (*.f64 c c))) c) |
(/ b c) |
(/.f64 b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(/.f64 (fma.f64 a (neg.f64 d) (*.f64 c b)) (*.f64 c c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(/.f64 (-.f64 (/.f64 (fma.f64 a d (/.f64 (*.f64 (*.f64 d d) b) c)) c) b) (neg.f64 c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) |
(/.f64 (+.f64 b (/.f64 (-.f64 (/.f64 (fma.f64 a (/.f64 (*.f64 d (*.f64 d d)) c) (*.f64 d (*.f64 d (neg.f64 b)))) c) (*.f64 a d)) c)) c) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(-.f64 (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (*.f64 a (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
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(*.f64 c (-.f64 (/.f64 a c) (/.f64 b d))) |
(* -1 (* c (- (* -1 (/ a c)) (* -1 (/ b d))))) |
(*.f64 c (-.f64 (/.f64 a c) (/.f64 b d))) |
(* -1 (/ (* b c) d)) |
(*.f64 c (/.f64 b (neg.f64 d))) |
(/ (- (* a d) (* b c)) d) |
(-.f64 a (/.f64 (*.f64 c b) d)) |
(/ (- (* a d) (* b c)) d) |
(-.f64 a (/.f64 (*.f64 c b) d)) |
(/ (- (* a d) (* b c)) d) |
(-.f64 a (/.f64 (*.f64 c b) d)) |
a |
(+ a (* -1 (/ (* b c) d))) |
(-.f64 a (/.f64 (*.f64 c b) d)) |
(+ a (* -1 (/ (* b c) d))) |
(-.f64 a (/.f64 (*.f64 c b) d)) |
(+ a (* -1 (/ (* b c) d))) |
(-.f64 a (/.f64 (*.f64 c b) d)) |
a |
(+ a (* -1 (/ (* b c) d))) |
(-.f64 a (/.f64 (*.f64 c b) d)) |
(+ a (* -1 (/ (* b c) d))) |
(-.f64 a (/.f64 (*.f64 c b) d)) |
(+ a (* -1 (/ (* b c) d))) |
(-.f64 a (/.f64 (*.f64 c b) d)) |
(pow c 2) |
(*.f64 c c) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 d d (*.f64 c c)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 d d (*.f64 c c)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 d d (*.f64 c c)) |
(pow d 2) |
(*.f64 d d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (*.f64 d d) (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (*.f64 d d) (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (*.f64 d d) (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64))) |
(pow d 2) |
(*.f64 d d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (*.f64 d d) (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (*.f64 d d) (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (*.f64 d d) (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64))) |
(pow d 2) |
(*.f64 d d) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 d d (*.f64 c c)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 d d (*.f64 c c)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 d d (*.f64 c c)) |
(pow c 2) |
(*.f64 c c) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 c (fma.f64 c (/.f64 (*.f64 d d) (*.f64 c c)) c)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 c (fma.f64 c (/.f64 (*.f64 d d) (*.f64 c c)) c)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 c (fma.f64 c (/.f64 (*.f64 d d) (*.f64 c c)) c)) |
(pow c 2) |
(*.f64 c c) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 c (fma.f64 c (/.f64 (*.f64 d d) (*.f64 c c)) c)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 c (fma.f64 c (/.f64 (*.f64 d d) (*.f64 c c)) c)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 c (fma.f64 c (/.f64 (*.f64 d d) (*.f64 c c)) c)) |
(/ (* 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) |
(/ (* 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) |
(/ (* 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) |
(/ (* 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) |
(/ (* 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) |
(/ (* 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) |
(/ (* 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) |
(/ (* 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) |
(/ (* 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) |
| 4 800× | lower-/.f32 |
| 4 784× | lower-/.f64 |
| 4 680× | lower-*.f32 |
| 4 670× | lower-*.f64 |
| 4 106× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 271 |
| 0 | 58 | 271 |
| 1 | 244 | 271 |
| 2 | 1661 | 271 |
| 0 | 8192 | 262 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) |
(/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c) |
(-.f64 b (*.f64 a (/.f64 d c))) |
(*.f64 a (/.f64 d c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
(/.f64 (neg.f64 a) d) |
(neg.f64 a) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) |
(/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c)))) |
(*.f64 d a) |
(neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) c)) |
(/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) c) |
#s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) |
(/.f64 (*.f64 d (neg.f64 a)) c) |
(neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d))) |
(/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d) |
(-.f64 a (/.f64 (*.f64 b c) d)) |
#s(approx (+ (* d d) (* c c)) (*.f64 c c)) |
(/.f64 (*.f64 b c) d) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 d (/.f64 a (neg.f64 c)) b) c)) |
(+.f64 (/.f64 b c) (neg.f64 (/.f64 (*.f64 a d) (*.f64 c c)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 c (fma.f64 d (/.f64 a (neg.f64 c)) b))) #s(literal -1 binary64))) |
(-.f64 (/.f64 b c) (/.f64 (*.f64 a d) (*.f64 c c))) |
(-.f64 (/.f64 #s(literal 0 binary64) c) (/.f64 (fma.f64 d (/.f64 a (neg.f64 c)) b) (neg.f64 c))) |
(-.f64 (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (fma.f64 (/.f64 (*.f64 a d) c) (fma.f64 a (/.f64 d c) b) (*.f64 b b))) c) (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 a d) (*.f64 a (*.f64 d (*.f64 a d)))) (*.f64 c (*.f64 c c))) (fma.f64 (/.f64 (*.f64 a d) c) (fma.f64 a (/.f64 d c) b) (*.f64 b b))) c)) |
(-.f64 (/.f64 (/.f64 (*.f64 b b) (fma.f64 a (/.f64 d c) b)) c) (/.f64 (/.f64 (/.f64 (*.f64 a (*.f64 d (*.f64 a d))) (*.f64 c c)) (fma.f64 a (/.f64 d c) b)) c)) |
(-.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 c (fma.f64 (/.f64 (*.f64 a d) c) (fma.f64 a (/.f64 d c) b) (*.f64 b b)))) (/.f64 (/.f64 (*.f64 (*.f64 a d) (*.f64 a (*.f64 d (*.f64 a d)))) (*.f64 c (*.f64 c c))) (*.f64 c (fma.f64 (/.f64 (*.f64 a d) c) (fma.f64 a (/.f64 d c) b) (*.f64 b b))))) |
(-.f64 (/.f64 (*.f64 b b) (*.f64 c (fma.f64 a (/.f64 d c) b))) (/.f64 (/.f64 (*.f64 a (*.f64 d (*.f64 a d))) (*.f64 c c)) (*.f64 c (fma.f64 a (/.f64 d c) b)))) |
(-.f64 (/.f64 (*.f64 b c) (*.f64 c c)) (/.f64 (*.f64 c (/.f64 (*.f64 a d) c)) (*.f64 c c))) |
(-.f64 (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 c (*.f64 c c))) (fma.f64 (/.f64 b c) (/.f64 b c) (fma.f64 (/.f64 (*.f64 a d) (*.f64 c c)) (/.f64 (*.f64 a d) (*.f64 c c)) (*.f64 (/.f64 b c) (/.f64 (*.f64 a d) (*.f64 c c)))))) (/.f64 (/.f64 (*.f64 (*.f64 a d) (*.f64 a (*.f64 d (*.f64 a d)))) (*.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))))) (fma.f64 (/.f64 b c) (/.f64 b c) (fma.f64 (/.f64 (*.f64 a d) (*.f64 c c)) (/.f64 (*.f64 a d) (*.f64 c c)) (*.f64 (/.f64 b c) (/.f64 (*.f64 a d) (*.f64 c c))))))) |
(-.f64 (/.f64 (*.f64 (/.f64 b c) (/.f64 b c)) (+.f64 (/.f64 b c) (/.f64 (*.f64 a d) (*.f64 c c)))) (/.f64 (*.f64 (/.f64 (*.f64 a d) (*.f64 c c)) (/.f64 (*.f64 a d) (*.f64 c c))) (+.f64 (/.f64 b c) (/.f64 (*.f64 a d) (*.f64 c c))))) |
(fma.f64 b (/.f64 #s(literal 1 binary64) c) (neg.f64 (/.f64 (*.f64 a d) (*.f64 c c)))) |
(neg.f64 (/.f64 (fma.f64 d (/.f64 a (neg.f64 c)) b) (neg.f64 c))) |
(neg.f64 (/.f64 (+.f64 (neg.f64 b) (/.f64 (*.f64 a d) c)) c)) |
(/.f64 (fma.f64 d (/.f64 a (neg.f64 c)) b) c) |
(/.f64 (+.f64 (neg.f64 b) (/.f64 (*.f64 a d) c)) (neg.f64 c)) |
(/.f64 (-.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 (*.f64 a d) (*.f64 a (*.f64 d (*.f64 a d)))) (*.f64 c (*.f64 c c)))) (*.f64 c (fma.f64 (/.f64 (*.f64 a d) c) (fma.f64 a (/.f64 d c) b) (*.f64 b b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 c (fma.f64 d (/.f64 a (neg.f64 c)) b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c (fma.f64 d (/.f64 a (neg.f64 c)) b)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 c (fma.f64 d (/.f64 a (neg.f64 c)) b))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 c (fma.f64 d (/.f64 a (neg.f64 c)) b)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 c (fma.f64 d (/.f64 a (neg.f64 c)) b)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 b b) (/.f64 (*.f64 a (*.f64 d (*.f64 a d))) (*.f64 c c))) (*.f64 c (fma.f64 a (/.f64 d c) b))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 c (/.f64 (*.f64 a d) c))) (*.f64 c c)) |
(/.f64 (*.f64 (-.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 (*.f64 a d) (*.f64 a (*.f64 d (*.f64 a d)))) (*.f64 c (*.f64 c c)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (/.f64 (*.f64 a d) c) (fma.f64 a (/.f64 d c) b) (*.f64 b b)) c)) |
(/.f64 (*.f64 (-.f64 (*.f64 b b) (/.f64 (*.f64 a (*.f64 d (*.f64 a d))) (*.f64 c c))) #s(literal 1 binary64)) (*.f64 (fma.f64 a (/.f64 d c) b) c)) |
(/.f64 (neg.f64 (-.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 (*.f64 a d) (*.f64 a (*.f64 d (*.f64 a d)))) (*.f64 c (*.f64 c c))))) (neg.f64 (*.f64 c (fma.f64 (/.f64 (*.f64 a d) c) (fma.f64 a (/.f64 d c) b) (*.f64 b b))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (/.f64 (*.f64 a (*.f64 d (*.f64 a d))) (*.f64 c c)))) (neg.f64 (*.f64 c (fma.f64 a (/.f64 d c) b)))) |
(/.f64 (neg.f64 (+.f64 (neg.f64 b) (/.f64 (*.f64 a d) c))) (neg.f64 (neg.f64 c))) |
(/.f64 (-.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 c (*.f64 c c))) (/.f64 (*.f64 (*.f64 a d) (*.f64 a (*.f64 d (*.f64 a d)))) (*.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c)))))) (fma.f64 (/.f64 b c) (/.f64 b c) (fma.f64 (/.f64 (*.f64 a d) (*.f64 c c)) (/.f64 (*.f64 a d) (*.f64 c c)) (*.f64 (/.f64 b c) (/.f64 (*.f64 a d) (*.f64 c c)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 b c) (/.f64 b c)) (*.f64 (/.f64 (*.f64 a d) (*.f64 c c)) (/.f64 (*.f64 a d) (*.f64 c c)))) (+.f64 (/.f64 b c) (/.f64 (*.f64 a d) (*.f64 c c)))) |
(/.f64 (*.f64 (fma.f64 d (/.f64 a (neg.f64 c)) b) #s(literal 1 binary64)) c) |
(/.f64 (*.f64 (-.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 (*.f64 a d) (*.f64 a (*.f64 d (*.f64 a d)))) (*.f64 c (*.f64 c c)))) (/.f64 #s(literal 1 binary64) c)) (fma.f64 (/.f64 (*.f64 a d) c) (fma.f64 a (/.f64 d c) b) (*.f64 b b))) |
(/.f64 (*.f64 (-.f64 (*.f64 b b) (/.f64 (*.f64 a (*.f64 d (*.f64 a d))) (*.f64 c c))) (/.f64 #s(literal 1 binary64) c)) (fma.f64 a (/.f64 d c) b)) |
(/.f64 (-.f64 (neg.f64 b) (/.f64 (*.f64 a d) (neg.f64 c))) (neg.f64 c)) |
(/.f64 (-.f64 (*.f64 b (*.f64 c c)) (*.f64 c (*.f64 a d))) (*.f64 c (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b (*.f64 c (neg.f64 c))) (*.f64 c (*.f64 a (neg.f64 d)))) (*.f64 c (*.f64 c (neg.f64 c)))) |
(/.f64 (-.f64 (*.f64 b (*.f64 c (/.f64 c (*.f64 a d)))) (*.f64 c #s(literal 1 binary64))) (*.f64 c (*.f64 c (/.f64 c (*.f64 a d))))) |
(/.f64 (-.f64 (*.f64 b (/.f64 c (/.f64 (*.f64 a d) c))) (*.f64 c #s(literal 1 binary64))) (*.f64 c (/.f64 c (/.f64 (*.f64 a d) c)))) |
(/.f64 (-.f64 (*.f64 b (neg.f64 c)) (*.f64 c (/.f64 (*.f64 a d) (neg.f64 c)))) (*.f64 c (neg.f64 c))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 c c)) (*.f64 (/.f64 c b) (*.f64 a d))) (*.f64 (/.f64 c b) (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) c) (*.f64 (/.f64 c b) (/.f64 (*.f64 a d) c))) (*.f64 (/.f64 c b) c)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 c (neg.f64 c))) (*.f64 (/.f64 c b) (*.f64 a (neg.f64 d)))) (*.f64 (/.f64 c b) (*.f64 c (neg.f64 c)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 c (/.f64 c (*.f64 a d)))) (*.f64 (/.f64 c b) #s(literal 1 binary64))) (*.f64 (/.f64 c b) (*.f64 c (/.f64 c (*.f64 a d))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 c (/.f64 (*.f64 a d) c))) (*.f64 (/.f64 c b) #s(literal 1 binary64))) (*.f64 (/.f64 c b) (/.f64 c (/.f64 (*.f64 a d) c)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 c)) (*.f64 (/.f64 c b) (/.f64 (*.f64 a d) (neg.f64 c)))) (*.f64 (/.f64 c b) (neg.f64 c))) |
(/.f64 (-.f64 (*.f64 (neg.f64 b) (*.f64 c c)) (*.f64 (neg.f64 c) (*.f64 a d))) (neg.f64 (*.f64 c (*.f64 c c)))) |
(/.f64 (-.f64 (*.f64 b (neg.f64 c)) (*.f64 (neg.f64 c) (/.f64 (*.f64 a d) c))) (*.f64 (neg.f64 c) c)) |
(/.f64 (-.f64 (*.f64 (neg.f64 b) (*.f64 c (neg.f64 c))) (*.f64 (neg.f64 c) (*.f64 a (neg.f64 d)))) (*.f64 (neg.f64 c) (*.f64 c (neg.f64 c)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 b) (*.f64 c (/.f64 c (*.f64 a d)))) (*.f64 (neg.f64 c) #s(literal 1 binary64))) (*.f64 (neg.f64 c) (*.f64 c (/.f64 c (*.f64 a d))))) |
(/.f64 (-.f64 (*.f64 (neg.f64 b) (/.f64 c (/.f64 (*.f64 a d) c))) (*.f64 (neg.f64 c) #s(literal 1 binary64))) (*.f64 (neg.f64 c) (/.f64 c (/.f64 (*.f64 a d) c)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 b) (neg.f64 c)) (*.f64 (neg.f64 c) (/.f64 (*.f64 a d) (neg.f64 c)))) (*.f64 c c)) |
(/.f64 (neg.f64 (-.f64 (*.f64 b c) (*.f64 c (/.f64 (*.f64 a d) c)))) (neg.f64 (*.f64 c c))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 (*.f64 a d) (*.f64 a (*.f64 d (*.f64 a d)))) (*.f64 c (*.f64 c c)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a d) c) (fma.f64 a (/.f64 d c) b) (*.f64 b b)) c))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 b b) (/.f64 (*.f64 a (*.f64 d (*.f64 a d))) (*.f64 c c))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 a (/.f64 d c) b) c))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (neg.f64 b) (/.f64 (*.f64 a d) c)))) (neg.f64 (neg.f64 (neg.f64 c)))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 c (*.f64 c c))) (/.f64 (*.f64 (*.f64 a d) (*.f64 a (*.f64 d (*.f64 a d)))) (*.f64 (*.f64 c c) (*.f64 c (*.f64 c (*.f64 c c))))))) (neg.f64 (fma.f64 (/.f64 b c) (/.f64 b c) (fma.f64 (/.f64 (*.f64 a d) (*.f64 c c)) (/.f64 (*.f64 a d) (*.f64 c c)) (*.f64 (/.f64 b c) (/.f64 (*.f64 a d) (*.f64 c c))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 b c) (/.f64 b c)) (*.f64 (/.f64 (*.f64 a d) (*.f64 c c)) (/.f64 (*.f64 a d) (*.f64 c c))))) (neg.f64 (+.f64 (/.f64 b c) (/.f64 (*.f64 a d) (*.f64 c c))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 d (/.f64 a (neg.f64 c)) b) #s(literal 1 binary64))) (neg.f64 c)) |
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(/.f64 (-.f64 (*.f64 a a) (/.f64 (*.f64 b (*.f64 c (*.f64 b c))) (*.f64 d d))) (-.f64 a (/.f64 (*.f64 b (neg.f64 c)) d))) |
(/.f64 (neg.f64 (-.f64 (*.f64 a (*.f64 a a)) (/.f64 (*.f64 (*.f64 b c) (*.f64 b (*.f64 c (*.f64 b c)))) (*.f64 d (*.f64 d d))))) (neg.f64 (fma.f64 a a (*.f64 (/.f64 (*.f64 b c) d) (fma.f64 b (/.f64 c d) a))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 a (*.f64 a a)) (/.f64 (*.f64 (*.f64 b c) (*.f64 b (*.f64 c (*.f64 b c)))) (*.f64 d (*.f64 d d))))) (neg.f64 (fma.f64 a a (-.f64 (/.f64 (*.f64 b (*.f64 c (*.f64 b c))) (*.f64 d d)) (*.f64 a (/.f64 (*.f64 b (neg.f64 c)) d)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 a a) (/.f64 (*.f64 b (*.f64 c (*.f64 b c))) (*.f64 d d)))) (neg.f64 (fma.f64 b (/.f64 c d) a))) |
(/.f64 (neg.f64 (-.f64 (*.f64 a a) (/.f64 (*.f64 b (*.f64 c (*.f64 b c))) (*.f64 d d)))) (neg.f64 (-.f64 a (/.f64 (*.f64 b (neg.f64 c)) d)))) |
(/.f64 (-.f64 (*.f64 (*.f64 a (*.f64 a a)) (fma.f64 a a (*.f64 (/.f64 (*.f64 b c) d) (fma.f64 b (/.f64 c d) a)))) (*.f64 (fma.f64 a a (*.f64 (/.f64 (*.f64 b c) d) (fma.f64 b (/.f64 c d) a))) (/.f64 (*.f64 (*.f64 b c) (*.f64 b (*.f64 c (*.f64 b c)))) (*.f64 d (*.f64 d d))))) (*.f64 (fma.f64 a a (*.f64 (/.f64 (*.f64 b c) d) (fma.f64 b (/.f64 c d) a))) (fma.f64 a a (*.f64 (/.f64 (*.f64 b c) d) (fma.f64 b (/.f64 c d) a))))) |
(/.f64 (-.f64 (*.f64 (*.f64 a a) (fma.f64 b (/.f64 c d) a)) (*.f64 (fma.f64 b (/.f64 c d) a) (/.f64 (*.f64 b (*.f64 c (*.f64 b c))) (*.f64 d d)))) (*.f64 (fma.f64 b (/.f64 c d) a) (fma.f64 b (/.f64 c d) a))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 a (*.f64 a a)) (/.f64 (*.f64 (*.f64 b c) (*.f64 b (*.f64 c (*.f64 b c)))) (*.f64 d (*.f64 d d)))))) (neg.f64 (neg.f64 (fma.f64 a a (*.f64 (/.f64 (*.f64 b c) d) (fma.f64 b (/.f64 c d) a)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 a a) (/.f64 (*.f64 b (*.f64 c (*.f64 b c))) (*.f64 d d))))) (neg.f64 (neg.f64 (fma.f64 b (/.f64 c d) a)))) |
(/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 b c) (*.f64 b (*.f64 c (*.f64 b c)))) (*.f64 d (*.f64 d d)))) (*.f64 a (*.f64 a a))) (fma.f64 (*.f64 b c) (/.f64 (*.f64 b c) (*.f64 d d)) (-.f64 (*.f64 a a) (*.f64 (/.f64 (*.f64 b (neg.f64 c)) d) a)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 a (*.f64 a a)) (fma.f64 a a (*.f64 (/.f64 (*.f64 b c) d) (fma.f64 b (/.f64 c d) a)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 b c) (*.f64 b (*.f64 c (*.f64 b c)))) (*.f64 d (*.f64 d d))) (fma.f64 a a (*.f64 (/.f64 (*.f64 b c) d) (fma.f64 b (/.f64 c d) a)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 a (*.f64 a a)) (fma.f64 a a (*.f64 (/.f64 (*.f64 b c) d) (fma.f64 b (/.f64 c d) a)))) (/.f64 (*.f64 a (*.f64 a a)) (fma.f64 a a (*.f64 (/.f64 (*.f64 b c) d) (fma.f64 b (/.f64 c d) a)))) (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 b c) (*.f64 b (*.f64 c (*.f64 b c)))) (*.f64 d (*.f64 d d))) (fma.f64 a a (*.f64 (/.f64 (*.f64 b c) d) (fma.f64 b (/.f64 c d) a)))) (/.f64 (/.f64 (*.f64 (*.f64 b c) (*.f64 b (*.f64 c (*.f64 b c)))) (*.f64 d (*.f64 d d))) (fma.f64 a a (*.f64 (/.f64 (*.f64 b c) d) (fma.f64 b (/.f64 c d) a)))) (*.f64 (/.f64 (*.f64 a (*.f64 a a)) (fma.f64 a a (*.f64 (/.f64 (*.f64 b c) d) (fma.f64 b (/.f64 c d) a)))) (/.f64 (/.f64 (*.f64 (*.f64 b c) (*.f64 b (*.f64 c (*.f64 b c)))) (*.f64 d (*.f64 d d))) (fma.f64 a a (*.f64 (/.f64 (*.f64 b c) d) (fma.f64 b (/.f64 c d) a)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 a a) (fma.f64 b (/.f64 c d) a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (*.f64 b (*.f64 c (*.f64 b c))) (*.f64 d d)) (fma.f64 b (/.f64 c d) a)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 a a) (fma.f64 b (/.f64 c d) a)) (/.f64 (*.f64 a a) (fma.f64 b (/.f64 c d) a)) (fma.f64 (/.f64 (/.f64 (*.f64 b (*.f64 c (*.f64 b c))) (*.f64 d d)) (fma.f64 b (/.f64 c d) a)) (/.f64 (/.f64 (*.f64 b (*.f64 c (*.f64 b c))) (*.f64 d d)) (fma.f64 b (/.f64 c d) a)) (*.f64 (/.f64 (*.f64 a a) (fma.f64 b (/.f64 c d) a)) (/.f64 (/.f64 (*.f64 b (*.f64 c (*.f64 b c))) (*.f64 d d)) (fma.f64 b (/.f64 c d) a)))))) |
(pow.f64 (/.f64 (fma.f64 a a (*.f64 (/.f64 (*.f64 b c) d) (fma.f64 b (/.f64 c d) a))) (-.f64 (*.f64 a (*.f64 a a)) (/.f64 (*.f64 (*.f64 b c) (*.f64 b (*.f64 c (*.f64 b c)))) (*.f64 d (*.f64 d d))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 b (/.f64 c d) a) (-.f64 (*.f64 a a) (/.f64 (*.f64 b (*.f64 c (*.f64 b c))) (*.f64 d d)))) #s(literal -1 binary64)) |
(*.f64 (-.f64 (*.f64 a (*.f64 a a)) (/.f64 (*.f64 (*.f64 b c) (*.f64 b (*.f64 c (*.f64 b c)))) (*.f64 d (*.f64 d d)))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 (/.f64 (*.f64 b c) d) (fma.f64 b (/.f64 c d) a))))) |
(*.f64 (-.f64 (*.f64 a a) (/.f64 (*.f64 b (*.f64 c (*.f64 b c))) (*.f64 d d))) (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 c d) a))) |
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c)))) |
(neg.f64 (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c)) #s(approx (+ (* d d) (* c c)) (*.f64 c c)) (*.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))))))) |
#s(approx (+ (* d d) (* c c)) (*.f64 c c)) |
(*.f64 #s(literal 1 binary64) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) |
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 d (*.f64 b c))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) d) (/.f64 (*.f64 b (neg.f64 c)) d)) |
(neg.f64 (/.f64 (*.f64 b (neg.f64 c)) d)) |
(/.f64 (*.f64 b c) d) |
(/.f64 (*.f64 b (neg.f64 c)) (neg.f64 d)) |
(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 b c))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 d (*.f64 b c)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 d (*.f64 b c))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 d (*.f64 b c)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 d (*.f64 b c)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (*.f64 b c) #s(literal 1 binary64)) d) |
(/.f64 (neg.f64 (*.f64 b (neg.f64 c))) (neg.f64 (neg.f64 d))) |
(/.f64 (neg.f64 (*.f64 (*.f64 b c) #s(literal 1 binary64))) (neg.f64 d)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 b (neg.f64 c)))) (neg.f64 (neg.f64 (neg.f64 d)))) |
(pow.f64 (/.f64 d (*.f64 b c)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 d (*.f64 b c)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 b (/.f64 c d)) |
(*.f64 c (*.f64 b (/.f64 #s(literal 1 binary64) d))) |
(*.f64 c (/.f64 b d)) |
(*.f64 (*.f64 b c) (/.f64 #s(literal 1 binary64) d)) |
(*.f64 (*.f64 b (neg.f64 c)) (/.f64 #s(literal -1 binary64) d)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 b c) d)) |
(*.f64 (/.f64 c d) b) |
(*.f64 (/.f64 #s(literal 1 binary64) d) (*.f64 b c)) |
(*.f64 (/.f64 #s(literal 1 binary64) d) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 b c)) #s(literal -1 binary64))) |
(*.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 b d)) |
(*.f64 (/.f64 b #s(literal -1 binary64)) (/.f64 (neg.f64 c) d)) |
(*.f64 (/.f64 c #s(literal -1 binary64)) (/.f64 (neg.f64 b) d)) |
(*.f64 (/.f64 (neg.f64 b) #s(literal -1 binary64)) (/.f64 c d)) |
Compiled 25 190 to 2 092 computations (91.7% saved)
29 alts after pruning (23 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 421 | 12 | 1 433 |
| Fresh | 4 | 11 | 15 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 427 | 29 | 1 456 |
| Status | Accuracy | Program |
|---|---|---|
| 29.5% | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| 37.2% | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| 20.4% | (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a))) (*.f64 (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 c b)) #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 c b)) (neg.f64 (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a))))) | |
| 36.0% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (- (* c b) (* d a)) (*.f64 d (neg.f64 a))))) | |
| 40.0% | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (- (* c b) (* d a))) (fma.f64 d (fma.f64 d (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b c)) (/.f64 (*.f64 a a) (*.f64 b (*.f64 b (*.f64 b c))))) (/.f64 a (*.f64 b b))) (/.f64 c b)))) | |
| 45.8% | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (- (* c b) (* d a))) (fma.f64 c (neg.f64 (fma.f64 c (fma.f64 b (/.f64 b (*.f64 a (*.f64 a (*.f64 a d)))) (/.f64 #s(literal 1 binary64) (*.f64 a d))) (/.f64 b (*.f64 a a)))) (/.f64 d (neg.f64 a))))) | |
| 46.9% | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (- (* c b) (* d a))) (/.f64 c b))) | |
| 48.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) | |
| 15.1% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a)))) d)) | |
| ✓ | 57.8% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) |
| ▶ | 58.7% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) |
| ✓ | 36.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) |
| 23.6% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) | |
| ✓ | 19.4% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) |
| 38.4% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) | |
| ✓ | 39.6% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
| 54.6% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (fma.f64 (neg.f64 b) (/.f64 (*.f64 a d) (*.f64 c b)) b)) c)) | |
| ▶ | 21.3% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 #s(literal -1 binary64) (/.f64 c (*.f64 a d)))) c)) |
| ▶ | 22.5% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 d c) (neg.f64 a))) c)) |
| ✓ | 47.2% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
| ▶ | 19.4% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d)) |
| 21.3% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 a d) (neg.f64 c))))) | |
| 47.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b)) | |
| 18.8% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) | |
| ▶ | 39.5% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 #s(literal -1 binary64) d))) |
| 18.7% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 a (*.f64 d (/.f64 #s(literal -1 binary64) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))))) | |
| ✓ | 45.6% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d))) |
| 17.5% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 #s(approx (/ (- a (/ (* b c) d)) d) (*.f64 b (/.f64 c (*.f64 d (neg.f64 d))))))) | |
| 17.5% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (neg (/ (- a (/ (* b c) d)) d)) (*.f64 c (/.f64 b (*.f64 d d))))) |
Compiled 918 to 501 computations (45.4% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (- b (/ (* d a) c)) (/.f64 #s(literal -1 binary64) (/.f64 c (*.f64 a d)))) | |
| cost-diff | 0 | (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 #s(literal -1 binary64) (/.f64 c (*.f64 a d)))) c) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 #s(literal -1 binary64) (/.f64 c (*.f64 a d)))) c)) | |
| cost-diff | 576 | (/.f64 #s(literal -1 binary64) (/.f64 c (*.f64 a d))) | |
| cost-diff | 0 | (*.f64 (/.f64 d c) (neg.f64 a)) | |
| cost-diff | 0 | #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 d c) (neg.f64 a))) | |
| cost-diff | 0 | (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 d c) (neg.f64 a))) c) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 d c) (neg.f64 a))) c)) | |
| cost-diff | 0 | (neg.f64 a) | |
| cost-diff | 0 | (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) | |
| cost-diff | 0 | (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) d) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 #s(literal -1 binary64) d))) | |
| cost-diff | 192 | (*.f64 a (/.f64 #s(literal -1 binary64) d)) | |
| cost-diff | 0 | (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) | |
| cost-diff | 0 | (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) c) a) |
| 3 890× | lower-fma.f64 |
| 3 890× | lower-fma.f32 |
| 2 322× | lower-*.f32 |
| 2 308× | lower-*.f64 |
| 1 600× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 340 |
| 0 | 61 | 336 |
| 1 | 109 | 324 |
| 2 | 212 | 324 |
| 3 | 454 | 324 |
| 4 | 859 | 324 |
| 5 | 1512 | 324 |
| 6 | 2055 | 324 |
| 7 | 2834 | 324 |
| 8 | 3509 | 324 |
| 9 | 4034 | 324 |
| 10 | 4368 | 324 |
| 11 | 4544 | 324 |
| 12 | 4567 | 324 |
| 13 | 4582 | 324 |
| 14 | 4857 | 324 |
| 15 | 5255 | 324 |
| 16 | 5561 | 324 |
| 17 | 5781 | 324 |
| 18 | 5951 | 324 |
| 19 | 5959 | 324 |
| 20 | 5959 | 324 |
| 21 | 5959 | 324 |
| 22 | 6079 | 324 |
| 23 | 6345 | 324 |
| 24 | 6893 | 324 |
| 25 | 7556 | 324 |
| 26 | 7953 | 324 |
| 0 | 8005 | 315 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) |
(/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c) |
(-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) |
b |
(*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a)) |
d |
(*.f64 (/.f64 #s(literal 1 binary64) c) a) |
(/.f64 #s(literal 1 binary64) c) |
#s(literal 1 binary64) |
c |
a |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 #s(literal -1 binary64) d))) |
(*.f64 a (/.f64 #s(literal -1 binary64) d)) |
a |
(/.f64 #s(literal -1 binary64) d) |
#s(literal -1 binary64) |
d |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d)) |
(*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d) |
(/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) |
(neg.f64 a) |
a |
#s(approx (+ (* d d) (* c c)) (*.f64 c c)) |
(*.f64 c c) |
c |
d |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 d c) (neg.f64 a))) c)) |
(/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 d c) (neg.f64 a))) c) |
#s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 d c) (neg.f64 a))) |
(*.f64 (/.f64 d c) (neg.f64 a)) |
(/.f64 d c) |
d |
c |
(neg.f64 a) |
a |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 #s(literal -1 binary64) (/.f64 c (*.f64 a d)))) c)) |
(/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 #s(literal -1 binary64) (/.f64 c (*.f64 a d)))) c) |
#s(approx (- b (/ (* d a) c)) (/.f64 #s(literal -1 binary64) (/.f64 c (*.f64 a d)))) |
(/.f64 #s(literal -1 binary64) (/.f64 c (*.f64 a d))) |
#s(literal -1 binary64) |
(/.f64 c (*.f64 a d)) |
c |
(*.f64 a d) |
a |
d |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
(/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c) |
(/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) |
(-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) |
(-.f64 b (/.f64 (*.f64 a d) c)) |
b |
(*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a)) |
(/.f64 (*.f64 a d) c) |
d |
(*.f64 (/.f64 #s(literal 1 binary64) c) a) |
(/.f64 a c) |
(/.f64 #s(literal 1 binary64) c) |
#s(literal 1 binary64) |
c |
a |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 #s(literal -1 binary64) d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d))) |
(*.f64 a (/.f64 #s(literal -1 binary64) d)) |
(/.f64 a (neg.f64 d)) |
a |
(/.f64 #s(literal -1 binary64) d) |
#s(literal -1 binary64) |
d |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a (neg.f64 d)) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))) |
(*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d) |
(/.f64 (*.f64 a (neg.f64 d)) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) |
(/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) |
(neg.f64 a) |
a |
#s(approx (+ (* d d) (* c c)) (*.f64 c c)) |
(*.f64 c c) |
c |
d |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 d c) (neg.f64 a))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 a (neg.f64 d)) c)) c)) |
(/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 d c) (neg.f64 a))) c) |
(/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 a (neg.f64 d)) c)) c) |
#s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 d c) (neg.f64 a))) |
#s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 a (neg.f64 d)) c)) |
(*.f64 (/.f64 d c) (neg.f64 a)) |
(/.f64 (*.f64 a (neg.f64 d)) c) |
(/.f64 d c) |
d |
c |
(neg.f64 a) |
a |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 #s(literal -1 binary64) (/.f64 c (*.f64 a d)))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 a (neg.f64 d)) c)) c)) |
(/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 #s(literal -1 binary64) (/.f64 c (*.f64 a d)))) c) |
(/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 a (neg.f64 d)) c)) c) |
#s(approx (- b (/ (* d a) c)) (/.f64 #s(literal -1 binary64) (/.f64 c (*.f64 a d)))) |
#s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 a (neg.f64 d)) c)) |
(/.f64 #s(literal -1 binary64) (/.f64 c (*.f64 a d))) |
(/.f64 (*.f64 a (neg.f64 d)) c) |
#s(literal -1 binary64) |
(/.f64 c (*.f64 a d)) |
c |
(*.f64 a d) |
a |
d |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.1748425943871337 | (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 #s(literal -1 binary64) (/.f64 c (*.f64 a d)))) c) | |
| accuracy | 5.117980280012907 | (/.f64 c (*.f64 a d)) | |
| accuracy | 25.959686725449508 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 #s(literal -1 binary64) (/.f64 c (*.f64 a d)))) c)) | |
| accuracy | 33.87759472343926 | #s(approx (- b (/ (* d a) c)) (/.f64 #s(literal -1 binary64) (/.f64 c (*.f64 a d)))) | |
| accuracy | 1.1748425943871337 | (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 d c) (neg.f64 a))) c) | |
| accuracy | 5.1264163839977135 | (*.f64 (/.f64 d c) (neg.f64 a)) | |
| accuracy | 25.959686725449508 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 d c) (neg.f64 a))) c)) | |
| accuracy | 33.87759472343926 | #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 d c) (neg.f64 a))) | |
| accuracy | 9.565950780941208 | (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) | |
| accuracy | 11.213684352751818 | (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d) | |
| accuracy | 26.067669508350974 | #s(approx (+ (* d d) (* c c)) (*.f64 c c)) | |
| accuracy | 28.41405665465555 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d)) | |
| accuracy | 0 | (/.f64 #s(literal -1 binary64) d) | |
| accuracy | 0.19140625 | (*.f64 a (/.f64 #s(literal -1 binary64) d)) | |
| accuracy | 38.65009747441988 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 #s(literal -1 binary64) d))) | |
| accuracy | 0.19140625 | (*.f64 (/.f64 #s(literal 1 binary64) c) a) | |
| accuracy | 1.1748425943871337 | (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c) | |
| accuracy | 2.828104322647386 | (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a)) | |
| accuracy | 25.959686725449508 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) |
| 71.0ms | 256× | 0 | valid |
Compiled 230 to 34 computations (85.2% saved)
ival-mult: 22.0ms (41.2% of total)ival-div: 15.0ms (28.1% of total)ival-add: 9.0ms (16.9% of total)ival-neg: 4.0ms (7.5% of total)ival-sub: 3.0ms (5.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) c) a) (patch (*.f64 (/.f64 #s(literal 1 binary64) c) a) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c) (patch (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c) #<representation binary64>) () ()) |
#s(alt (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) (patch (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) #<representation binary64>) () ()) |
#s(alt (*.f64 a (/.f64 #s(literal -1 binary64) d)) (patch (*.f64 a (/.f64 #s(literal -1 binary64) d)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 #s(literal -1 binary64) d))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 #s(literal -1 binary64) d))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) d) (patch (/.f64 #s(literal -1 binary64) d) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d) (patch (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d) #<representation binary64>) () ()) |
#s(alt (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) (patch (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) #<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 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 d c) (neg.f64 a))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 d c) (neg.f64 a))) c)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 d c) (neg.f64 a))) c) (patch (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 d c) (neg.f64 a))) c) #<representation binary64>) () ()) |
#s(alt #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 d c) (neg.f64 a))) (patch #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 d c) (neg.f64 a))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 d c) (neg.f64 a)) (patch (*.f64 (/.f64 d c) (neg.f64 a)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (/.f64 c (*.f64 a d))) (patch (/.f64 #s(literal -1 binary64) (/.f64 c (*.f64 a d))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 #s(literal -1 binary64) (/.f64 c (*.f64 a d)))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 #s(literal -1 binary64) (/.f64 c (*.f64 a d)))) c)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 #s(literal -1 binary64) (/.f64 c (*.f64 a d)))) c) (patch (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 #s(literal -1 binary64) (/.f64 c (*.f64 a d)))) c) #<representation binary64>) () ()) |
#s(alt #s(approx (- b (/ (* d a) c)) (/.f64 #s(literal -1 binary64) (/.f64 c (*.f64 a d)))) (patch #s(approx (- b (/ (* d a) c)) (/.f64 #s(literal -1 binary64) (/.f64 c (*.f64 a d)))) #<representation binary64>) () ()) |
#s(alt (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a)) (patch (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 c c)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 c c)) #<representation binary64>) () ()) |
#s(alt (/.f64 c (*.f64 a d)) (patch (/.f64 c (*.f64 a d)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ a c) (taylor 0 c) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) c) a) (patch (*.f64 (/.f64 #s(literal 1 binary64) c) a) #<representation binary64>) () ())) ()) |
#s(alt (/ a c) (taylor 0 c) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) c) a) (patch (*.f64 (/.f64 #s(literal 1 binary64) c) a) #<representation binary64>) () ())) ()) |
#s(alt (/ a c) (taylor 0 c) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) c) a) (patch (*.f64 (/.f64 #s(literal 1 binary64) c) a) #<representation binary64>) () ())) ()) |
#s(alt (/ a c) (taylor 0 c) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) c) a) (patch (*.f64 (/.f64 #s(literal 1 binary64) c) a) #<representation binary64>) () ())) ()) |
#s(alt (/ a c) (taylor inf c) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) c) a) (patch (*.f64 (/.f64 #s(literal 1 binary64) c) a) #<representation binary64>) () ())) ()) |
#s(alt (/ a c) (taylor inf c) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) c) a) (patch (*.f64 (/.f64 #s(literal 1 binary64) c) a) #<representation binary64>) () ())) ()) |
#s(alt (/ a c) (taylor inf c) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) c) a) (patch (*.f64 (/.f64 #s(literal 1 binary64) c) a) #<representation binary64>) () ())) ()) |
#s(alt (/ a c) (taylor inf c) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) c) a) (patch (*.f64 (/.f64 #s(literal 1 binary64) c) a) #<representation binary64>) () ())) ()) |
#s(alt (/ a c) (taylor -inf c) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) c) a) (patch (*.f64 (/.f64 #s(literal 1 binary64) c) a) #<representation binary64>) () ())) ()) |
#s(alt (/ a c) (taylor -inf c) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) c) a) (patch (*.f64 (/.f64 #s(literal 1 binary64) c) a) #<representation binary64>) () ())) ()) |
#s(alt (/ a c) (taylor -inf c) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) c) a) (patch (*.f64 (/.f64 #s(literal 1 binary64) c) a) #<representation binary64>) () ())) ()) |
#s(alt (/ a c) (taylor -inf c) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) c) a) (patch (*.f64 (/.f64 #s(literal 1 binary64) c) a) #<representation binary64>) () ())) ()) |
#s(alt (/ a c) (taylor 0 a) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) c) a) (patch (*.f64 (/.f64 #s(literal 1 binary64) c) a) #<representation binary64>) () ())) ()) |
#s(alt (/ a c) (taylor 0 a) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) c) a) (patch (*.f64 (/.f64 #s(literal 1 binary64) c) a) #<representation binary64>) () ())) ()) |
#s(alt (/ a c) (taylor 0 a) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) c) a) (patch (*.f64 (/.f64 #s(literal 1 binary64) c) a) #<representation binary64>) () ())) ()) |
#s(alt (/ a c) (taylor 0 a) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) c) a) (patch (*.f64 (/.f64 #s(literal 1 binary64) c) a) #<representation binary64>) () ())) ()) |
#s(alt (/ a c) (taylor inf a) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) c) a) (patch (*.f64 (/.f64 #s(literal 1 binary64) c) a) #<representation binary64>) () ())) ()) |
#s(alt (/ a c) (taylor inf a) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) c) a) (patch (*.f64 (/.f64 #s(literal 1 binary64) c) a) #<representation binary64>) () ())) ()) |
#s(alt (/ a c) (taylor inf a) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) c) a) (patch (*.f64 (/.f64 #s(literal 1 binary64) c) a) #<representation binary64>) () ())) ()) |
#s(alt (/ a c) (taylor inf a) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) c) a) (patch (*.f64 (/.f64 #s(literal 1 binary64) c) a) #<representation binary64>) () ())) ()) |
#s(alt (/ a c) (taylor -inf a) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) c) a) (patch (*.f64 (/.f64 #s(literal 1 binary64) c) a) #<representation binary64>) () ())) ()) |
#s(alt (/ a c) (taylor -inf a) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) c) a) (patch (*.f64 (/.f64 #s(literal 1 binary64) c) a) #<representation binary64>) () ())) ()) |
#s(alt (/ a c) (taylor -inf a) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) c) a) (patch (*.f64 (/.f64 #s(literal 1 binary64) c) a) #<representation binary64>) () ())) ()) |
#s(alt (/ a c) (taylor -inf a) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) c) a) (patch (*.f64 (/.f64 #s(literal 1 binary64) c) a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (taylor 0 b) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) (taylor 0 b) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) (taylor 0 b) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) (taylor 0 b) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) (+ (pow c 2) (pow d 2))) (taylor inf b) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) #<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 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) #<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 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) #<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 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) (taylor -inf b) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) (taylor -inf b) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) (taylor -inf b) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) 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 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) 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 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) 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 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor inf c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ b (* -1 (/ (* a d) c))) c) (taylor inf c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) (taylor inf c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) #<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 #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor -inf c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) (taylor -inf c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) (taylor -inf c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) #<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 #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) (+ (pow c 2) (pow d 2))) (taylor 0 a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) (taylor 0 a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) (taylor 0 a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) (taylor 0 a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (taylor inf a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) (taylor inf a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) (taylor inf a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) (taylor inf a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (taylor -inf a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) (taylor -inf a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) (taylor -inf a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) (taylor -inf a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor 0 d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) (taylor 0 d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) (taylor 0 d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) (taylor 0 d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) 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 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) 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 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) 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 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) (pow c 2))) (taylor 0 b) (#s(alt (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c) (patch (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) (taylor 0 b) (#s(alt (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c) (patch (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) (taylor 0 b) (#s(alt (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c) (patch (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) (taylor 0 a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) (taylor 0 a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d)) #<representation binary64>) () ())) ()) |
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#s(alt (* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) (taylor inf a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) (taylor inf a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) (taylor inf a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (taylor -inf a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) (taylor -inf a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) (taylor -inf a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) (taylor -inf a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d)) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor 0 d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) (taylor 0 d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) (taylor 0 d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) (taylor 0 d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) 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 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) 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 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) 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 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) 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 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) 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 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (taylor 0 a) (#s(alt (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d) (patch (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (taylor 0 a) (#s(alt (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d) (patch (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (taylor 0 a) (#s(alt (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d) (patch (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (taylor inf a) (#s(alt (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d) (patch (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (taylor inf a) (#s(alt (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d) (patch (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (taylor -inf a) (#s(alt (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d) (patch (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (taylor -inf a) (#s(alt (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d) (patch (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (taylor -inf a) (#s(alt (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d) (patch (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (taylor -inf a) (#s(alt (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d) (patch (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) (pow c 2))) (taylor 0 d) (#s(alt (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d) (patch (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d) #<representation binary64>) () ())) ()) |
#s(alt (* d (+ (* -1 (/ a (pow c 2))) (/ (* a (pow d 2)) (pow c 4)))) (taylor 0 d) (#s(alt (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d) (patch (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d) #<representation binary64>) () ())) ()) |
#s(alt (* d (+ (* -1 (/ a (pow c 2))) (* (pow d 2) (+ (* -1 (/ (* a (pow d 2)) (pow c 6))) (/ a (pow c 4)))))) (taylor 0 d) (#s(alt (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d) (patch (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d) #<representation binary64>) () ())) ()) |
#s(alt (* 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)))))) (taylor 0 d) (#s(alt (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d) (patch (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor inf d) (#s(alt (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d) (patch (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 a) (/ (* a (pow c 2)) (pow d 2))) d) (taylor inf d) (#s(alt (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d) (patch (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) 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 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d) (patch (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) 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 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d) (patch (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor -inf d) (#s(alt (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d) (patch (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (* a (pow c 2)) (pow d 2)))) d)) (taylor -inf d) (#s(alt (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d) (patch (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (+ a (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2))) d)) (taylor -inf d) (#s(alt (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d) (patch (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) (taylor 0 a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 d c) (neg.f64 a))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 d c) (neg.f64 a))) c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) (taylor 0 a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 d c) (neg.f64 a))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 d c) (neg.f64 a))) c)) #<representation binary64>) () ())) ()) |
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#s(alt (* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) (taylor inf a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 d c) (neg.f64 a))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 d c) (neg.f64 a))) c)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) (taylor inf a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 d c) (neg.f64 a))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 d c) (neg.f64 a))) c)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) (taylor inf a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 d c) (neg.f64 a))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 d c) (neg.f64 a))) c)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) (taylor -inf a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 d c) (neg.f64 a))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 d c) (neg.f64 a))) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) (taylor -inf a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 d c) (neg.f64 a))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 d c) (neg.f64 a))) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) (taylor -inf a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 d c) (neg.f64 a))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 d c) (neg.f64 a))) c)) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) (taylor 0 d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 d c) (neg.f64 a))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 d c) (neg.f64 a))) c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) (taylor 0 d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 d c) (neg.f64 a))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 d c) (neg.f64 a))) c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) (taylor 0 d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 d c) (neg.f64 a))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 d c) (neg.f64 a))) c)) #<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 (/ (* d a) c)) (*.f64 (/.f64 d c) (neg.f64 a))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 d c) (neg.f64 a))) 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 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 d c) (neg.f64 a))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 d c) (neg.f64 a))) 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 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 d c) (neg.f64 a))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 d c) (neg.f64 a))) 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 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 d c) (neg.f64 a))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 d c) (neg.f64 a))) c)) #<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 (/ (* d a) c)) (*.f64 (/.f64 d c) (neg.f64 a))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 d c) (neg.f64 a))) c)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ (* a d) (pow c 2))) (taylor 0 b) (#s(alt (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 d c) (neg.f64 a))) c) (patch (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 d c) (neg.f64 a))) c) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* a d) c) (taylor -inf c) (#s(alt (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a)) (patch (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor -inf c) (#s(alt (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a)) (patch (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor -inf c) (#s(alt (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a)) (patch (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor 0 a) (#s(alt (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a)) (patch (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor 0 a) (#s(alt (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a)) (patch (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor 0 a) (#s(alt (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a)) (patch (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor 0 a) (#s(alt (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a)) (patch (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor inf a) (#s(alt (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a)) (patch (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor inf a) (#s(alt (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a)) (patch (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor inf a) (#s(alt (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a)) (patch (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor inf a) (#s(alt (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a)) (patch (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor -inf a) (#s(alt (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a)) (patch (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor -inf a) (#s(alt (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a)) (patch (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor -inf a) (#s(alt (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a)) (patch (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor -inf a) (#s(alt (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a)) (patch (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a)) #<representation binary64>) () ())) ()) |
#s(alt (pow c 2) (taylor 0 d) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 c c)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 d) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 c c)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 d) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 c c)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 d) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 c c)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (pow d 2) (taylor inf d) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 c c)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor inf d) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 c c)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor inf d) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 c c)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor inf d) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 c c)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (pow d 2) (taylor -inf d) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 c c)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 c c)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 c c)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 c c)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (pow d 2) (taylor 0 c) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 c c)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 c c)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 c c)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 c c)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (pow c 2) (taylor inf c) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 c c)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor inf c) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 c c)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor inf c) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 c c)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor inf c) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 c c)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (pow c 2) (taylor -inf c) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 c c)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor -inf c) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 c c)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor -inf c) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 c c)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor -inf c) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 c c)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (/ c (* a d)) (taylor 0 c) (#s(alt (/.f64 c (*.f64 a d)) (patch (/.f64 c (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (/ c (* a d)) (taylor 0 c) (#s(alt (/.f64 c (*.f64 a d)) (patch (/.f64 c (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (/ c (* a d)) (taylor 0 c) (#s(alt (/.f64 c (*.f64 a d)) (patch (/.f64 c (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (/ c (* a d)) (taylor 0 c) (#s(alt (/.f64 c (*.f64 a d)) (patch (/.f64 c (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (/ c (* a d)) (taylor inf c) (#s(alt (/.f64 c (*.f64 a d)) (patch (/.f64 c (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (/ c (* a d)) (taylor inf c) (#s(alt (/.f64 c (*.f64 a d)) (patch (/.f64 c (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (/ c (* a d)) (taylor inf c) (#s(alt (/.f64 c (*.f64 a d)) (patch (/.f64 c (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (/ c (* a d)) (taylor inf c) (#s(alt (/.f64 c (*.f64 a d)) (patch (/.f64 c (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (/ c (* a d)) (taylor -inf c) (#s(alt (/.f64 c (*.f64 a d)) (patch (/.f64 c (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (/ c (* a d)) (taylor -inf c) (#s(alt (/.f64 c (*.f64 a d)) (patch (/.f64 c (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (/ c (* a d)) (taylor -inf c) (#s(alt (/.f64 c (*.f64 a d)) (patch (/.f64 c (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (/ c (* a d)) (taylor -inf c) (#s(alt (/.f64 c (*.f64 a d)) (patch (/.f64 c (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (/ c (* a d)) (taylor 0 a) (#s(alt (/.f64 c (*.f64 a d)) (patch (/.f64 c (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (/ c (* a d)) (taylor 0 a) (#s(alt (/.f64 c (*.f64 a d)) (patch (/.f64 c (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (/ c (* a d)) (taylor 0 a) (#s(alt (/.f64 c (*.f64 a d)) (patch (/.f64 c (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (/ c (* a d)) (taylor 0 a) (#s(alt (/.f64 c (*.f64 a d)) (patch (/.f64 c (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (/ c (* a d)) (taylor inf a) (#s(alt (/.f64 c (*.f64 a d)) (patch (/.f64 c (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (/ c (* a d)) (taylor inf a) (#s(alt (/.f64 c (*.f64 a d)) (patch (/.f64 c (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (/ c (* a d)) (taylor inf a) (#s(alt (/.f64 c (*.f64 a d)) (patch (/.f64 c (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (/ c (* a d)) (taylor inf a) (#s(alt (/.f64 c (*.f64 a d)) (patch (/.f64 c (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (/ c (* a d)) (taylor -inf a) (#s(alt (/.f64 c (*.f64 a d)) (patch (/.f64 c (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (/ c (* a d)) (taylor -inf a) (#s(alt (/.f64 c (*.f64 a d)) (patch (/.f64 c (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (/ c (* a d)) (taylor -inf a) (#s(alt (/.f64 c (*.f64 a d)) (patch (/.f64 c (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (/ c (* a d)) (taylor -inf a) (#s(alt (/.f64 c (*.f64 a d)) (patch (/.f64 c (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (/ c (* a d)) (taylor 0 d) (#s(alt (/.f64 c (*.f64 a d)) (patch (/.f64 c (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (/ c (* a d)) (taylor 0 d) (#s(alt (/.f64 c (*.f64 a d)) (patch (/.f64 c (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (/ c (* a d)) (taylor 0 d) (#s(alt (/.f64 c (*.f64 a d)) (patch (/.f64 c (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (/ c (* a d)) (taylor 0 d) (#s(alt (/.f64 c (*.f64 a d)) (patch (/.f64 c (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (/ c (* a d)) (taylor inf d) (#s(alt (/.f64 c (*.f64 a d)) (patch (/.f64 c (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (/ c (* a d)) (taylor inf d) (#s(alt (/.f64 c (*.f64 a d)) (patch (/.f64 c (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (/ c (* a d)) (taylor inf d) (#s(alt (/.f64 c (*.f64 a d)) (patch (/.f64 c (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (/ c (* a d)) (taylor inf d) (#s(alt (/.f64 c (*.f64 a d)) (patch (/.f64 c (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (/ c (* a d)) (taylor -inf d) (#s(alt (/.f64 c (*.f64 a d)) (patch (/.f64 c (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (/ c (* a d)) (taylor -inf d) (#s(alt (/.f64 c (*.f64 a d)) (patch (/.f64 c (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (/ c (* a d)) (taylor -inf d) (#s(alt (/.f64 c (*.f64 a d)) (patch (/.f64 c (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (/ c (* a d)) (taylor -inf d) (#s(alt (/.f64 c (*.f64 a d)) (patch (/.f64 c (*.f64 a d)) #<representation binary64>) () ())) ()) |
210 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | a | @ | 0 | (/ (neg a) (+ (* d d) (* c c))) |
| 0.0ms | a | @ | inf | (/ (neg a) (+ (* d d) (* c c))) |
| 0.0ms | c | @ | 0 | (/ (neg a) (+ (* d d) (* c c))) |
| 0.0ms | c | @ | inf | (/ (neg a) (+ (* d d) (* c c))) |
| 0.0ms | a | @ | -inf | (/ (neg a) (+ (* d d) (* c c))) |
| 1× | egg-herbie |
| 11 542× | lower-fma.f64 |
| 11 542× | lower-fma.f32 |
| 4 806× | lower-*.f64 |
| 4 806× | lower-*.f32 |
| 3 116× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 347 | 9587 |
| 1 | 1066 | 9245 |
| 2 | 3349 | 9079 |
| 0 | 8477 | 8734 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(/ (* b c) (+ (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 (/ 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 (* -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) |
(* -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 c 2) (pow d 2))) |
(+ (* -1 (/ (* a 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) (+ (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)) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(* -1 (/ (* a d) (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 (+ (* -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) |
(* -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) |
(+ (* -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))) |
(* 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 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
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(* -1 (/ (* a d) (pow c 2))) |
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(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
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(/ (+ b (* -1 (/ (* a d) c))) c) |
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(* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c)))) |
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(* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c)))) |
(* -1 (/ (* a d) (pow c 2))) |
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(- b (/ (* a d) c)) |
b |
(* b (+ 1 (* -1 (/ (* a d) (* b c))))) |
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b |
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b |
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b |
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b |
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b |
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(* -1 (/ a d)) |
(* -1 (/ a d)) |
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(/ (+ (* -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) |
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(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
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(/ -1 d) |
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(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
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(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) |
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(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
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(* -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)) |
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(* -1 (/ (* a d) (pow c 2))) |
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(* 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)))))) |
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(/ (+ (* -1 a) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2)))) d) |
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(/ (+ (* -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)) |
(* -1 (/ (* a d) (pow c 2))) |
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(/ (+ (* -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)) |
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(+ (* -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))))) |
(* -1 (/ a (pow d 2))) |
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(/ (+ (* -1 a) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2)))) (pow d 2)) |
(/ (+ (* -1 a) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* a (pow c 6)) (pow d 6))))) (pow d 2)) |
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(/ (+ (* -1 a) (/ (* a (pow c 2)) (pow d 2))) (pow d 2)) |
(/ (+ (* -1 a) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2)))) (pow d 2)) |
(/ (+ (* -1 a) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* a (pow c 6)) (pow d 6))))) (pow d 2)) |
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(+ (* -1 (/ a (pow d 2))) (* (pow c 2) (+ (* -1 (/ (* a (pow c 2)) (pow d 6))) (/ a (pow d 4))))) |
(+ (* -1 (/ a (pow d 2))) (* (pow c 2) (+ (* (pow c 2) (+ (* -1 (/ a (pow d 6))) (/ (* a (pow c 2)) (pow d 8)))) (/ a (pow d 4))))) |
(* -1 (/ a (pow c 2))) |
(/ (+ (* -1 a) (/ (* a (pow d 2)) (pow c 2))) (pow c 2)) |
(/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) (pow c 2)) |
(/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (+ (/ (* a (pow d 2)) (pow c 2)) (/ (* a (pow d 6)) (pow c 6))))) (pow c 2)) |
(* -1 (/ a (pow c 2))) |
(/ (+ (* -1 a) (/ (* a (pow d 2)) (pow c 2))) (pow c 2)) |
(/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) (pow c 2)) |
(/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (+ (/ (* a (pow d 2)) (pow c 2)) (/ (* a (pow d 6)) (pow c 6))))) (pow c 2)) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
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(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* -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 (/ a d)) |
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(+ (* -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 (* -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) |
(* -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 c 2) (pow d 2))) |
(+ (* -1 (/ (* a 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) (+ (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)) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(* -1 (/ (* a d) (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 (+ (* -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) |
(* -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) |
(+ (* -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))) |
(* 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 (* 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))))) |
(/ 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))) |
(* 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 (+ (* -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)) (* b c)) (pow c 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (* -1 (/ (* a d) 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) c)) |
(- b (/ (* a d) c)) |
(- b (/ (* a d) c)) |
(- b (/ (* a d) c)) |
b |
(* b (+ 1 (* -1 (/ (* a d) (* b c))))) |
(* b (+ 1 (* -1 (/ (* a d) (* b c))))) |
(* b (+ 1 (* -1 (/ (* a d) (* b c))))) |
b |
(* -1 (* b (- (/ (* a d) (* b c)) 1))) |
(* -1 (* b (- (/ (* a d) (* b c)) 1))) |
(* -1 (* b (- (/ (* a d) (* b c)) 1))) |
b |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(* -1 (/ (* a d) c)) |
(* d (- (/ b d) (/ a c))) |
(* d (- (/ b d) (/ a c))) |
(* d (- (/ b d) (/ a c))) |
(* -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))))) |
b |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) 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 (- (* -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)) |
(/ (- (* b c) (* a d)) c) |
(/ (- (* b c) (* a d)) c) |
(/ (- (* b c) (* a d)) c) |
b |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) 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)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* 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)))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (/ 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 (* -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) |
(* -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 c 2) (pow d 2))) |
(+ (* -1 (/ (* a 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) (+ (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)) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(* -1 (/ (* a d) (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 (+ (* -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) |
(* -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) |
(+ (* -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))) |
(* 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 (* 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))))) |
(/ 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))) |
(* 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 (+ (* -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)) (* b c)) (pow c 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (* -1 (/ (* a d) 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) c)) |
(- b (/ (* a d) c)) |
(- b (/ (* a d) c)) |
(- b (/ (* a d) c)) |
b |
(* b (+ 1 (* -1 (/ (* a d) (* b c))))) |
(* b (+ 1 (* -1 (/ (* a d) (* b c))))) |
(* b (+ 1 (* -1 (/ (* a d) (* b c))))) |
b |
(* -1 (* b (- (/ (* a d) (* b c)) 1))) |
(* -1 (* b (- (/ (* a d) (* b c)) 1))) |
(* -1 (* b (- (/ (* a d) (* b c)) 1))) |
b |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(* -1 (/ (* a d) c)) |
(* d (- (/ b d) (/ a c))) |
(* d (- (/ b d) (/ a c))) |
(* d (- (/ b d) (/ a c))) |
(* -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))))) |
b |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) 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 (- (* -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)) |
(/ (- (* b c) (* a d)) c) |
(/ (- (* b c) (* a d)) c) |
(/ (- (* b c) (* a d)) c) |
b |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) 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) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(pow c 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(pow d 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 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)))) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
| Outputs |
|---|
(/ a c) |
(/.f64 a c) |
(/ a c) |
(/.f64 a c) |
(/ a c) |
(/.f64 a c) |
(/ a c) |
(/.f64 a c) |
(/ a c) |
(/.f64 a c) |
(/ a c) |
(/.f64 a c) |
(/ a c) |
(/.f64 a c) |
(/ a c) |
(/.f64 a c) |
(/ a c) |
(/.f64 a c) |
(/ a c) |
(/.f64 a c) |
(/ a c) |
(/.f64 a c) |
(/ a c) |
(/.f64 a c) |
(/ a c) |
(/.f64 a c) |
(/ a c) |
(/.f64 a c) |
(/ a c) |
(/.f64 a c) |
(/ a c) |
(/.f64 a c) |
(/ a c) |
(/.f64 a c) |
(/ a c) |
(/.f64 a c) |
(/ a c) |
(/.f64 a c) |
(/ a c) |
(/.f64 a c) |
(/ a c) |
(/.f64 a c) |
(/ a c) |
(/.f64 a c) |
(/ a c) |
(/.f64 a c) |
(/ a c) |
(/.f64 a c) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(neg.f64 (*.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)))) |
(-.f64 (*.f64 c (/.f64 b (fma.f64 c c (*.f64 d d)))) (*.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)))) |
(-.f64 (*.f64 c (/.f64 b (fma.f64 c c (*.f64 d d)))) (*.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)))) |
(-.f64 (*.f64 c (/.f64 b (fma.f64 c c (*.f64 d d)))) (*.f64 a (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(*.f64 c (/.f64 b (fma.f64 c c (*.f64 d d)))) |
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(*.f64 b (fma.f64 (neg.f64 a) (/.f64 d (*.f64 c b)) #s(literal 1 binary64))) |
b |
(* -1 (* b (- (/ (* a d) (* b c)) 1))) |
(*.f64 b (fma.f64 (neg.f64 a) (/.f64 d (*.f64 c b)) #s(literal 1 binary64))) |
(* -1 (* b (- (/ (* a d) (* b c)) 1))) |
(*.f64 b (fma.f64 (neg.f64 a) (/.f64 d (*.f64 c b)) #s(literal 1 binary64))) |
(* -1 (* b (- (/ (* a d) (* b c)) 1))) |
(*.f64 b (fma.f64 (neg.f64 a) (/.f64 d (*.f64 c b)) #s(literal 1 binary64))) |
b |
(+ b (* -1 (/ (* a d) c))) |
(-.f64 b (/.f64 (*.f64 a d) c)) |
(+ b (* -1 (/ (* a d) c))) |
(-.f64 b (/.f64 (*.f64 a d) c)) |
(+ b (* -1 (/ (* a d) c))) |
(-.f64 b (/.f64 (*.f64 a d) c)) |
(* -1 (/ (* a d) c)) |
(*.f64 a (/.f64 d (neg.f64 c))) |
(* d (- (/ b d) (/ a c))) |
(*.f64 d (-.f64 (/.f64 b d) (/.f64 a c))) |
(* d (- (/ b d) (/ a c))) |
(*.f64 d (-.f64 (/.f64 b d) (/.f64 a c))) |
(* d (- (/ b d) (/ a c))) |
(*.f64 d (-.f64 (/.f64 b d) (/.f64 a c))) |
(* -1 (/ (* a d) c)) |
(*.f64 a (/.f64 d (neg.f64 c))) |
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) |
(*.f64 d (-.f64 (/.f64 b d) (/.f64 a c))) |
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) |
(*.f64 d (-.f64 (/.f64 b d) (/.f64 a c))) |
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) |
(*.f64 d (-.f64 (/.f64 b d) (/.f64 a c))) |
b |
(+ b (* -1 (/ (* a d) c))) |
(-.f64 b (/.f64 (*.f64 a d) c)) |
(+ b (* -1 (/ (* a d) c))) |
(-.f64 b (/.f64 (*.f64 a d) c)) |
(+ b (* -1 (/ (* a d) c))) |
(-.f64 b (/.f64 (*.f64 a d) c)) |
(* -1 (/ (* a d) c)) |
(*.f64 a (/.f64 d (neg.f64 c))) |
(* a (- (/ b a) (/ d c))) |
(*.f64 a (-.f64 (/.f64 b a) (/.f64 d c))) |
(* a (- (/ b a) (/ d c))) |
(*.f64 a (-.f64 (/.f64 b a) (/.f64 d c))) |
(* a (- (/ b a) (/ d c))) |
(*.f64 a (-.f64 (/.f64 b a) (/.f64 d c))) |
(* -1 (/ (* a d) c)) |
(*.f64 a (/.f64 d (neg.f64 c))) |
(* -1 (* a (- (* -1 (/ b a)) (* -1 (/ d c))))) |
(*.f64 a (-.f64 (/.f64 b a) (/.f64 d c))) |
(* -1 (* a (- (* -1 (/ b a)) (* -1 (/ d c))))) |
(*.f64 a (-.f64 (/.f64 b a) (/.f64 d c))) |
(* -1 (* a (- (* -1 (/ b a)) (* -1 (/ d c))))) |
(*.f64 a (-.f64 (/.f64 b a) (/.f64 d c))) |
(* -1 (/ (* a d) c)) |
(*.f64 a (/.f64 d (neg.f64 c))) |
(/ (- (* b c) (* a d)) c) |
(-.f64 b (/.f64 (*.f64 a d) c)) |
(/ (- (* b c) (* a d)) c) |
(-.f64 b (/.f64 (*.f64 a d) c)) |
(/ (- (* b c) (* a d)) c) |
(-.f64 b (/.f64 (*.f64 a d) c)) |
b |
(+ b (* -1 (/ (* a d) c))) |
(-.f64 b (/.f64 (*.f64 a d) c)) |
(+ b (* -1 (/ (* a d) c))) |
(-.f64 b (/.f64 (*.f64 a d) c)) |
(+ b (* -1 (/ (* a d) c))) |
(-.f64 b (/.f64 (*.f64 a d) c)) |
b |
(+ b (* -1 (/ (* a d) c))) |
(-.f64 b (/.f64 (*.f64 a d) c)) |
(+ b (* -1 (/ (* a d) c))) |
(-.f64 b (/.f64 (*.f64 a d) c)) |
(+ b (* -1 (/ (* a d) c))) |
(-.f64 b (/.f64 (*.f64 a d) c)) |
(/ (* a d) c) |
(/.f64 (*.f64 a d) c) |
(/ (* a d) c) |
(/.f64 (*.f64 a d) c) |
(/ (* a d) c) |
(/.f64 (*.f64 a d) c) |
(/ (* a d) c) |
(/.f64 (*.f64 a d) c) |
(/ (* a d) c) |
(/.f64 (*.f64 a d) c) |
(/ (* a d) c) |
(/.f64 (*.f64 a d) c) |
(/ (* a d) c) |
(/.f64 (*.f64 a d) c) |
(/ (* a d) c) |
(/.f64 (*.f64 a d) c) |
(/ (* a d) c) |
(/.f64 (*.f64 a d) c) |
(/ (* a d) c) |
(/.f64 (*.f64 a d) c) |
(/ (* a d) c) |
(/.f64 (*.f64 a d) c) |
(/ (* a d) c) |
(/.f64 (*.f64 a d) c) |
(/ (* a d) c) |
(/.f64 (*.f64 a d) c) |
(/ (* a d) c) |
(/.f64 (*.f64 a d) c) |
(/ (* a d) c) |
(/.f64 (*.f64 a d) c) |
(/ (* a d) c) |
(/.f64 (*.f64 a d) c) |
(/ (* a d) c) |
(/.f64 (*.f64 a d) c) |
(/ (* a d) c) |
(/.f64 (*.f64 a d) c) |
(/ (* a d) c) |
(/.f64 (*.f64 a d) c) |
(/ (* a d) c) |
(/.f64 (*.f64 a d) c) |
(/ (* a d) c) |
(/.f64 (*.f64 a d) c) |
(/ (* a d) c) |
(/.f64 (*.f64 a d) c) |
(/ (* a d) c) |
(/.f64 (*.f64 a d) c) |
(/ (* a d) c) |
(/.f64 (*.f64 a d) c) |
(/ (* a d) c) |
(/.f64 (*.f64 a d) c) |
(/ (* a d) c) |
(/.f64 (*.f64 a d) c) |
(/ (* a d) c) |
(/.f64 (*.f64 a d) c) |
(/ (* a d) c) |
(/.f64 (*.f64 a d) c) |
(/ (* a d) c) |
(/.f64 (*.f64 a d) c) |
(/ (* a d) c) |
(/.f64 (*.f64 a d) c) |
(/ (* a d) c) |
(/.f64 (*.f64 a d) c) |
(/ (* a d) c) |
(/.f64 (*.f64 a d) c) |
(/ (* a d) c) |
(/.f64 (*.f64 a d) c) |
(/ (* a d) c) |
(/.f64 (*.f64 a d) c) |
(/ (* a d) c) |
(/.f64 (*.f64 a d) c) |
(/ (* a d) c) |
(/.f64 (*.f64 a d) c) |
(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)) |
(pow d 2) |
(*.f64 d d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 d (fma.f64 d (*.f64 c (/.f64 c (*.f64 d d))) d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 d (fma.f64 d (*.f64 c (/.f64 c (*.f64 d d))) d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 d (fma.f64 d (*.f64 c (/.f64 c (*.f64 d d))) d)) |
(pow d 2) |
(*.f64 d d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 d (fma.f64 d (*.f64 c (/.f64 c (*.f64 d d))) d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 d (fma.f64 d (*.f64 c (/.f64 c (*.f64 d d))) d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 d (fma.f64 d (*.f64 c (/.f64 c (*.f64 d d))) d)) |
(pow d 2) |
(*.f64 d d) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(pow c 2) |
(*.f64 c c) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 (*.f64 c c) (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 (*.f64 c c) (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 (*.f64 c c) (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64))) |
(pow c 2) |
(*.f64 c c) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 (*.f64 c c) (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 (*.f64 c c) (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 (*.f64 c c) (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64))) |
(/ c (* a d)) |
(/.f64 c (*.f64 a d)) |
(/ c (* a d)) |
(/.f64 c (*.f64 a d)) |
(/ c (* a d)) |
(/.f64 c (*.f64 a d)) |
(/ c (* a d)) |
(/.f64 c (*.f64 a d)) |
(/ c (* a d)) |
(/.f64 c (*.f64 a d)) |
(/ c (* a d)) |
(/.f64 c (*.f64 a d)) |
(/ c (* a d)) |
(/.f64 c (*.f64 a d)) |
(/ c (* a d)) |
(/.f64 c (*.f64 a d)) |
(/ c (* a d)) |
(/.f64 c (*.f64 a d)) |
(/ c (* a d)) |
(/.f64 c (*.f64 a d)) |
(/ c (* a d)) |
(/.f64 c (*.f64 a d)) |
(/ c (* a d)) |
(/.f64 c (*.f64 a d)) |
(/ c (* a d)) |
(/.f64 c (*.f64 a d)) |
(/ c (* a d)) |
(/.f64 c (*.f64 a d)) |
(/ c (* a d)) |
(/.f64 c (*.f64 a d)) |
(/ c (* a d)) |
(/.f64 c (*.f64 a d)) |
(/ c (* a d)) |
(/.f64 c (*.f64 a d)) |
(/ c (* a d)) |
(/.f64 c (*.f64 a d)) |
(/ c (* a d)) |
(/.f64 c (*.f64 a d)) |
(/ c (* a d)) |
(/.f64 c (*.f64 a d)) |
(/ c (* a d)) |
(/.f64 c (*.f64 a d)) |
(/ c (* a d)) |
(/.f64 c (*.f64 a d)) |
(/ c (* a d)) |
(/.f64 c (*.f64 a d)) |
(/ c (* a d)) |
(/.f64 c (*.f64 a d)) |
(/ c (* a d)) |
(/.f64 c (*.f64 a d)) |
(/ c (* a d)) |
(/.f64 c (*.f64 a d)) |
(/ c (* a d)) |
(/.f64 c (*.f64 a d)) |
(/ c (* a d)) |
(/.f64 c (*.f64 a d)) |
(/ c (* a d)) |
(/.f64 c (*.f64 a d)) |
(/ c (* a d)) |
(/.f64 c (*.f64 a d)) |
(/ c (* a d)) |
(/.f64 c (*.f64 a d)) |
(/ c (* a d)) |
(/.f64 c (*.f64 a d)) |
(/ c (* a d)) |
(/.f64 c (*.f64 a d)) |
(/ c (* a d)) |
(/.f64 c (*.f64 a d)) |
(/ c (* a d)) |
(/.f64 c (*.f64 a d)) |
(/ c (* a d)) |
(/.f64 c (*.f64 a d)) |
| 7 266× | lower-fma.f64 |
| 7 266× | lower-fma.f32 |
| 4 414× | lower-*.f32 |
| 4 400× | lower-*.f64 |
| 4 260× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 308 |
| 0 | 61 | 296 |
| 1 | 231 | 292 |
| 2 | 1583 | 292 |
| 0 | 8433 | 283 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal 1 binary64) c) a) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) |
(/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c) |
(-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) |
(*.f64 a (/.f64 #s(literal -1 binary64) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 #s(literal -1 binary64) d))) |
(/.f64 #s(literal -1 binary64) d) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d)) |
(*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d) |
(/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) |
(neg.f64 a) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 d c) (neg.f64 a))) c)) |
(/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 d c) (neg.f64 a))) c) |
#s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 d c) (neg.f64 a))) |
(*.f64 (/.f64 d c) (neg.f64 a)) |
(/.f64 #s(literal -1 binary64) (/.f64 c (*.f64 a d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 #s(literal -1 binary64) (/.f64 c (*.f64 a d)))) c)) |
(/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 #s(literal -1 binary64) (/.f64 c (*.f64 a d)))) c) |
#s(approx (- b (/ (* d a) c)) (/.f64 #s(literal -1 binary64) (/.f64 c (*.f64 a d)))) |
(*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a)) |
#s(approx (+ (* d d) (* c c)) (*.f64 c c)) |
(/.f64 c (*.f64 a d)) |
| Outputs |
|---|
(-.f64 (/.f64 #s(literal 0 binary64) c) (/.f64 a (neg.f64 c))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 c)) (/.f64 a (neg.f64 c))) |
(/.f64 #s(literal 1 binary64) (/.f64 c a)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c a) #s(literal 1 binary64))) |
(/.f64 a c) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 c a))) |
(/.f64 (neg.f64 a) (neg.f64 c)) |
(pow.f64 (/.f64 c a) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 a c)) |
(*.f64 (/.f64 #s(literal 1 binary64) c) a) |
(*.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a #s(literal 1 binary64))) |
(*.f64 a (/.f64 #s(literal 1 binary64) c)) |
(*.f64 (/.f64 a c) #s(literal 1 binary64)) |
(*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c)) |
(*.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 (neg.f64 a) #s(literal 1 binary64))) |
(*.f64 (/.f64 a #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
(+.f64 (/.f64 b c) (neg.f64 (/.f64 (/.f64 (*.f64 a d) c) c))) |
(+.f64 (/.f64 b c) (*.f64 (neg.f64 (/.f64 (*.f64 a d) c)) (/.f64 #s(literal 1 binary64) c))) |
(+.f64 (/.f64 b c) (*.f64 (/.f64 d (neg.f64 c)) (/.f64 a c))) |
(+.f64 (/.f64 b c) (*.f64 (neg.f64 (/.f64 a c)) (/.f64 d c))) |
(+.f64 (/.f64 b c) (*.f64 (neg.f64 d) (/.f64 (/.f64 a c) c))) |
(exp.f64 (*.f64 (log.f64 (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) (neg.f64 c))) |
(-.f64 (/.f64 b c) (/.f64 (/.f64 (*.f64 a d) c) c)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 c)) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) (neg.f64 c))) |
(-.f64 (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (fma.f64 (/.f64 (*.f64 a d) c) (fma.f64 a (/.f64 d c) b) (*.f64 b b))) c) (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 a d) (*.f64 a (*.f64 d (*.f64 a d)))) (*.f64 c (*.f64 c c))) (fma.f64 (/.f64 (*.f64 a d) c) (fma.f64 a (/.f64 d c) b) (*.f64 b b))) c)) |
(-.f64 (/.f64 (/.f64 (*.f64 b b) (fma.f64 a (/.f64 d c) b)) c) (/.f64 (/.f64 (/.f64 (*.f64 a (*.f64 d (*.f64 a d))) (*.f64 c c)) (fma.f64 a (/.f64 d c) b)) c)) |
(-.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 c (fma.f64 (/.f64 (*.f64 a d) c) (fma.f64 a (/.f64 d c) b) (*.f64 b b)))) (/.f64 (/.f64 (*.f64 (*.f64 a d) (*.f64 a (*.f64 d (*.f64 a d)))) (*.f64 c (*.f64 c c))) (*.f64 c (fma.f64 (/.f64 (*.f64 a d) c) (fma.f64 a (/.f64 d c) b) (*.f64 b b))))) |
(-.f64 (/.f64 (*.f64 b b) (*.f64 c (fma.f64 a (/.f64 d c) b))) (/.f64 (/.f64 (*.f64 a (*.f64 d (*.f64 a d))) (*.f64 c c)) (*.f64 c (fma.f64 a (/.f64 d c) b)))) |
(-.f64 (/.f64 (*.f64 c b) (*.f64 c c)) (/.f64 (*.f64 c (/.f64 (*.f64 a d) c)) (*.f64 c c))) |
(-.f64 (/.f64 (/.f64 (*.f64 b (*.f64 b b)) (*.f64 c (*.f64 c c))) (fma.f64 (/.f64 b c) (/.f64 b c) (fma.f64 (/.f64 (*.f64 a (*.f64 d (*.f64 a d))) (*.f64 c c)) (/.f64 (/.f64 #s(literal 1 binary64) c) c) (*.f64 (/.f64 b c) (/.f64 (/.f64 (*.f64 a d) c) c))))) (/.f64 (*.f64 (/.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c)))) (fma.f64 (/.f64 b c) (/.f64 b c) (fma.f64 (/.f64 (*.f64 a (*.f64 d (*.f64 a d))) (*.f64 c c)) (/.f64 (/.f64 #s(literal 1 binary64) c) c) (*.f64 (/.f64 b c) (/.f64 (/.f64 (*.f64 a d) c) c)))))) |
(-.f64 (/.f64 (*.f64 (/.f64 b c) (/.f64 b c)) (+.f64 (/.f64 b c) (/.f64 (/.f64 (*.f64 a d) c) c))) (/.f64 (*.f64 (/.f64 (*.f64 a (*.f64 d (*.f64 a d))) (*.f64 c c)) (/.f64 (/.f64 #s(literal 1 binary64) c) c)) (+.f64 (/.f64 b c) (/.f64 (/.f64 (*.f64 a d) c) c)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 b c) (neg.f64 (/.f64 (/.f64 (*.f64 a d) c) c))) |
(fma.f64 #s(literal 1 binary64) (/.f64 b c) (*.f64 (neg.f64 (/.f64 (*.f64 a d) c)) (/.f64 #s(literal 1 binary64) c))) |
(fma.f64 #s(literal 1 binary64) (/.f64 b c) (*.f64 (/.f64 d (neg.f64 c)) (/.f64 a c))) |
(fma.f64 #s(literal 1 binary64) (/.f64 b c) (*.f64 (neg.f64 (/.f64 a c)) (/.f64 d c))) |
(fma.f64 #s(literal 1 binary64) (/.f64 b c) (*.f64 (neg.f64 d) (/.f64 (/.f64 a c) c))) |
(fma.f64 b (/.f64 #s(literal 1 binary64) c) (neg.f64 (/.f64 (/.f64 (*.f64 a d) c) c))) |
(fma.f64 b (/.f64 #s(literal 1 binary64) c) (*.f64 (neg.f64 (/.f64 (*.f64 a d) c)) (/.f64 #s(literal 1 binary64) c))) |
(fma.f64 b (/.f64 #s(literal 1 binary64) c) (*.f64 (/.f64 d (neg.f64 c)) (/.f64 a c))) |
(fma.f64 b (/.f64 #s(literal 1 binary64) c) (*.f64 (neg.f64 (/.f64 a c)) (/.f64 d c))) |
(fma.f64 b (/.f64 #s(literal 1 binary64) c) (*.f64 (neg.f64 d) (/.f64 (/.f64 a c) c))) |
(fma.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) c) (neg.f64 (/.f64 (/.f64 (*.f64 a d) c) c))) |
(fma.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) c) (*.f64 (neg.f64 (/.f64 (*.f64 a d) c)) (/.f64 #s(literal 1 binary64) c))) |
(fma.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) c) (*.f64 (/.f64 d (neg.f64 c)) (/.f64 a c))) |
(fma.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) c) (*.f64 (neg.f64 (/.f64 a c)) (/.f64 d c))) |
(fma.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) c) (*.f64 (neg.f64 d) (/.f64 (/.f64 a c) c))) |
(neg.f64 (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) (neg.f64 c))) |
(/.f64 #s(literal 1 binary64) (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c)))))) |
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(neg.f64 (/.f64 #s(approx (- b (/ (* d a) c)) (neg.f64 (/.f64 (*.f64 a d) c))) (neg.f64 c))) |
(/.f64 #s(literal 1 binary64) (/.f64 c #s(approx (- b (/ (* d a) c)) (neg.f64 (/.f64 (*.f64 a d) c))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 c #s(approx (- b (/ (* d a) c)) (neg.f64 (/.f64 (*.f64 a d) c))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 c) (*.f64 #s(approx (- b (/ (* d a) c)) (neg.f64 (/.f64 (*.f64 a d) c))) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 c #s(approx (- b (/ (* d a) c)) (neg.f64 (/.f64 (*.f64 a d) c)))))) |
(/.f64 #s(approx (- b (/ (* d a) c)) (neg.f64 (/.f64 (*.f64 a d) c))) c) |
(/.f64 (neg.f64 #s(approx (- b (/ (* d a) c)) (neg.f64 (/.f64 (*.f64 a d) c)))) (neg.f64 c)) |
(/.f64 (neg.f64 #s(approx (- b (/ (* d a) c)) (neg.f64 (/.f64 (*.f64 a d) c)))) (*.f64 c #s(literal -1 binary64))) |
(/.f64 (*.f64 #s(approx (- b (/ (* d a) c)) (neg.f64 (/.f64 (*.f64 a d) c))) #s(literal -1 binary64)) (neg.f64 c)) |
(/.f64 (neg.f64 (*.f64 #s(approx (- b (/ (* d a) c)) (neg.f64 (/.f64 (*.f64 a d) c))) #s(literal -1 binary64))) c) |
(pow.f64 (/.f64 c #s(approx (- b (/ (* d a) c)) (neg.f64 (/.f64 (*.f64 a d) c)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (- b (/ (* d a) c)) (neg.f64 (/.f64 (*.f64 a d) c))) c)) |
(*.f64 (/.f64 #s(literal 1 binary64) c) #s(approx (- b (/ (* d a) c)) (neg.f64 (/.f64 (*.f64 a d) c)))) |
(*.f64 (/.f64 #s(literal 1 binary64) c) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (- b (/ (* d a) c)) (neg.f64 (/.f64 (*.f64 a d) c)))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(approx (- b (/ (* d a) c)) (neg.f64 (/.f64 (*.f64 a d) c))) (neg.f64 c))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 c #s(approx (- b (/ (* d a) c)) (neg.f64 (/.f64 (*.f64 a d) c))))))) |
(*.f64 #s(approx (- b (/ (* d a) c)) (neg.f64 (/.f64 (*.f64 a d) c))) (/.f64 #s(literal 1 binary64) c)) |
(*.f64 (/.f64 #s(approx (- b (/ (* d a) c)) (neg.f64 (/.f64 (*.f64 a d) c))) c) #s(literal 1 binary64)) |
(*.f64 (neg.f64 #s(approx (- b (/ (* d a) c)) (neg.f64 (/.f64 (*.f64 a d) c)))) (/.f64 #s(literal -1 binary64) c)) |
(*.f64 (*.f64 #s(approx (- b (/ (* d a) c)) (neg.f64 (/.f64 (*.f64 a d) c))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) c)) |
(*.f64 (/.f64 #s(approx (- b (/ (* d a) c)) (neg.f64 (/.f64 (*.f64 a d) c))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) c)) |
(*.f64 (pow.f64 (/.f64 c #s(approx (- b (/ (* d a) c)) (neg.f64 (/.f64 (*.f64 a d) c)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 c #s(approx (- b (/ (* d a) c)) (neg.f64 (/.f64 (*.f64 a d) c)))) #s(literal -1/2 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- b (/ (* d a) c)) (neg.f64 (/.f64 (*.f64 a d) c))))) |
(neg.f64 (neg.f64 #s(approx (- b (/ (* d a) c)) (neg.f64 (/.f64 (*.f64 a d) c))))) |
#s(approx (- b (/ (* d a) c)) (neg.f64 (/.f64 (*.f64 a d) c))) |
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (- b (/ (* d a) c)) (neg.f64 (/.f64 (*.f64 a d) c))))) |
(*.f64 #s(approx (- b (/ (* d a) c)) (neg.f64 (/.f64 (*.f64 a d) c))) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 c (*.f64 a d))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (*.f64 a d) c))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 c d)) (neg.f64 (/.f64 (*.f64 a d) c))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 c)) (neg.f64 (/.f64 (*.f64 a d) c))) |
(neg.f64 (neg.f64 (/.f64 (*.f64 a d) c))) |
(/.f64 #s(literal 1 binary64) (/.f64 c (*.f64 a d))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 c) (*.f64 (*.f64 a d) #s(literal -1 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 #s(literal 1 binary64) (*.f64 a d))) |
(/.f64 a (/.f64 c d)) |
(/.f64 d (/.f64 c a)) |
(/.f64 (/.f64 (*.f64 a d) c) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 c) (*.f64 a d))) |
(/.f64 (neg.f64 a) (neg.f64 (/.f64 c d))) |
(/.f64 (*.f64 a d) c) |
(/.f64 (neg.f64 d) (neg.f64 (/.f64 c a))) |
(/.f64 (neg.f64 (*.f64 a d)) (neg.f64 c)) |
(/.f64 (neg.f64 (*.f64 a d)) (*.f64 c #s(literal -1 binary64))) |
(/.f64 (neg.f64 (/.f64 (*.f64 a d) c)) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 a d)))) |
(/.f64 (*.f64 (*.f64 a d) #s(literal -1 binary64)) (neg.f64 c)) |
(/.f64 (neg.f64 (*.f64 (*.f64 a d) #s(literal -1 binary64))) c) |
(pow.f64 (/.f64 (*.f64 a d) c) #s(literal 1 binary64)) |
(pow.f64 (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 a d) c)) |
(*.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 a d)) |
(*.f64 (/.f64 #s(literal 1 binary64) c) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 a d)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (/.f64 #s(literal 1 binary64) d))) |
(*.f64 a (/.f64 d c)) |
(*.f64 (/.f64 a c) d) |
(*.f64 (/.f64 a c) (pow.f64 (/.f64 #s(literal 1 binary64) d) #s(literal -1 binary64))) |
(*.f64 d (/.f64 a c)) |
(*.f64 (/.f64 (*.f64 a d) c) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 a d) c))) |
(*.f64 (/.f64 d c) a) |
(*.f64 (/.f64 d c) (/.f64 a #s(literal 1 binary64))) |
(*.f64 (*.f64 a d) (/.f64 #s(literal 1 binary64) c)) |
(*.f64 (neg.f64 d) (/.f64 a (neg.f64 c))) |
(*.f64 (neg.f64 (*.f64 a d)) (/.f64 #s(literal -1 binary64) c)) |
(*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 (*.f64 a d))) |
(*.f64 (/.f64 #s(literal -1 binary64) c) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 a d)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) d))) |
(*.f64 (*.f64 (*.f64 a d) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) c)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 a d)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) c)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 a d)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) c)) |
(*.f64 (/.f64 a #s(literal -1 binary64)) (/.f64 d (neg.f64 c))) |
(*.f64 (/.f64 (neg.f64 a) #s(literal -1 binary64)) (/.f64 d c)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) c) #s(literal 1 binary64)) (*.f64 a d)) |
(*.f64 (/.f64 (pow.f64 c #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 c #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 a d)))) |
(*.f64 (/.f64 (*.f64 a d) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) c)) |
(*.f64 (pow.f64 (/.f64 c (*.f64 a d)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 c (*.f64 a d)) #s(literal -1/2 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c)))) |
(neg.f64 (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))) |
(/.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))) #s(literal -1 binary64)) |
#s(approx (+ (* d d) (* c c)) (*.f64 c c)) |
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c)))) |
(*.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c)) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a d) c)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 c) (*.f64 a d))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 a d))) (/.f64 (neg.f64 c) (*.f64 a d))) |
(neg.f64 (/.f64 (neg.f64 c) (*.f64 a d))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a d) c)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a c) (/.f64 #s(literal 1 binary64) d))) |
(/.f64 c (*.f64 a d)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 a d) c))) |
(/.f64 (/.f64 #s(literal -1 binary64) d) (neg.f64 (/.f64 a c))) |
(/.f64 (/.f64 c (*.f64 a d)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 c) (neg.f64 (*.f64 a d))) |
(/.f64 (/.f64 (neg.f64 c) (*.f64 a d)) #s(literal -1 binary64)) |
(/.f64 (/.f64 c d) a) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a d)) (/.f64 #s(literal 1 binary64) c)) |
(/.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 a c)) |
(/.f64 (/.f64 c a) d) |
(/.f64 (neg.f64 (/.f64 c a)) (neg.f64 d)) |
(/.f64 (neg.f64 (/.f64 c d)) (neg.f64 a)) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 a d))) (/.f64 #s(literal -1 binary64) c)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 c a))) d) |
(pow.f64 (/.f64 (*.f64 a d) c) #s(literal -1 binary64)) |
(pow.f64 (/.f64 c (*.f64 a d)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 c (*.f64 a d))) |
(*.f64 c (/.f64 #s(literal 1 binary64) (*.f64 a d))) |
(*.f64 c (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a d)) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 c) (*.f64 a d))) |
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a d)) (/.f64 #s(literal -1 binary64) c))) |
(*.f64 (/.f64 #s(literal -1 binary64) d) (/.f64 c (neg.f64 a))) |
(*.f64 (/.f64 c (*.f64 a d)) #s(literal 1 binary64)) |
(*.f64 (neg.f64 c) (/.f64 #s(literal -1 binary64) (*.f64 a d))) |
(*.f64 (/.f64 c d) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a d)) c) |
(*.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 c a)) |
(*.f64 (/.f64 c a) (/.f64 #s(literal 1 binary64) d)) |
(*.f64 (/.f64 c a) (/.f64 (/.f64 #s(literal 1 binary64) d) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (/.f64 c a)) (/.f64 #s(literal -1 binary64) d)) |
(*.f64 (*.f64 c #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) d) (neg.f64 a))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 c d)) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (/.f64 #s(literal 1 binary64) d) (/.f64 #s(literal 1 binary64) c))) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 c (neg.f64 d))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 a d)) (neg.f64 c)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 a d)) (pow.f64 (/.f64 #s(literal -1 binary64) c) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) c) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 a d))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 a d)) (pow.f64 c #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (/.f64 (*.f64 a d) c) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 a d) c) #s(literal -1/2 binary64))) |
Compiled 22 730 to 1 603 computations (92.9% saved)
28 alts after pruning (20 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 433 | 3 | 1 436 |
| Fresh | 1 | 17 | 18 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 5 | 6 |
| Total | 1 437 | 28 | 1 465 |
| Status | Accuracy | Program |
|---|---|---|
| 29.5% | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| 37.2% | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| 20.4% | (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a))) (*.f64 (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 c b)) #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 c b)) (neg.f64 (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a))))) | |
| 36.0% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (- (* c b) (* d a)) (*.f64 d (neg.f64 a))))) | |
| 40.0% | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (- (* c b) (* d a))) (fma.f64 d (fma.f64 d (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b c)) (/.f64 (*.f64 a a) (*.f64 b (*.f64 b (*.f64 b c))))) (/.f64 a (*.f64 b b))) (/.f64 c b)))) | |
| 45.8% | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (- (* c b) (* d a))) (fma.f64 c (neg.f64 (fma.f64 c (fma.f64 b (/.f64 b (*.f64 a (*.f64 a (*.f64 a d)))) (/.f64 #s(literal 1 binary64) (*.f64 a d))) (/.f64 b (*.f64 a a)))) (/.f64 d (neg.f64 a))))) | |
| 46.9% | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (- (* c b) (* d a))) (/.f64 c b))) | |
| 48.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) | |
| 15.1% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a)))) d)) | |
| 45.6% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) | |
| ✓ | 57.8% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) |
| ✓ | 36.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) |
| 23.6% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) | |
| ✓ | 19.4% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) |
| 38.4% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) | |
| ✓ | 39.6% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
| 22.7% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (neg.f64 d) (/.f64 c a))) c)) | |
| ✓ | 22.5% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 d c) (neg.f64 a))) c)) |
| 22.5% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) c) a) d)) c)) | |
| ✓ | 47.2% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
| ✓ | 19.4% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d)) |
| 21.3% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 a d) (neg.f64 c))))) | |
| 47.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b)) | |
| 18.8% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) | |
| ✓ | 39.5% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 #s(literal -1 binary64) d))) |
| 18.7% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 a (*.f64 d (/.f64 #s(literal -1 binary64) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))))) | |
| 17.5% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 #s(approx (/ (- a (/ (* b c) d)) d) (*.f64 b (/.f64 c (*.f64 d (neg.f64 d))))))) | |
| 17.5% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (neg (/ (- a (/ (* b c) d)) d)) (*.f64 c (/.f64 b (*.f64 d d))))) |
Compiled 1 096 to 422 computations (61.5% saved)
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 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 a (/.f64 #s(literal -1 binary64) d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (neg (/ (- a (/ (* b c) d)) d)) (*.f64 c (/.f64 b (*.f64 d d))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (- (* c b) (* d a))) (/.f64 c b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* d a) c)) c) (neg.f64 (*.f64 d (/.f64 a (*.f64 c c)))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 #s(approx (/ (- a (/ (* b c) d)) d) (*.f64 b (/.f64 c (*.f64 d (neg.f64 d))))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 a (*.f64 d (/.f64 #s(literal -1 binary64) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 d c) (neg.f64 a))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) c) a) d)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 a d) (neg.f64 c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) (-.f64 b (/.f64 (*.f64 d a) c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (neg.f64 d) (/.f64 c a))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 #s(literal -1 binary64) (/.f64 c (*.f64 a d)))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (fma.f64 b (neg.f64 (/.f64 (*.f64 a d) (*.f64 b c))) b)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (fma.f64 (neg.f64 b) (/.f64 (*.f64 a d) (*.f64 c b)) b)) c)) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (-.f64 (*.f64 c b) (*.f64 d a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (- (* c b) (* d a)) (*.f64 d (neg.f64 a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (-.f64 (*.f64 c b) (*.f64 d a)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a)))) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (fma.f64 c b (/.f64 (*.f64 c (*.f64 c a)) d)) d) a) d)) |
(fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (- (* c b) (* d a))) (fma.f64 d (fma.f64 d (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b c)) (/.f64 (*.f64 a a) (*.f64 b (*.f64 b (*.f64 b c))))) (/.f64 a (*.f64 b b))) (/.f64 c b)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (- (* c b) (* d a))) (fma.f64 c (neg.f64 (fma.f64 c (fma.f64 b (/.f64 b (*.f64 a (*.f64 a (*.f64 a d)))) (/.f64 #s(literal 1 binary64) (*.f64 a d))) (/.f64 b (*.f64 a a)))) (/.f64 d (neg.f64 a))))) |
(/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a))) (*.f64 (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 c b)) #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 c b)) (neg.f64 (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 d a))) (*.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 c b)) #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 c b)) (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 d a)))) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) |
(fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) |
#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 (-.f64 b (*.f64 a (/.f64 d c))) c)) |
5 calls:
| 19.0ms | c |
| 12.0ms | b |
| 12.0ms | a |
| 12.0ms | d |
| 11.0ms | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.6% | 4 | a |
| 68.7% | 4 | b |
| 85.3% | 4 | c |
| 82.7% | 3 | d |
| 77.1% | 5 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
Compiled 39 to 27 computations (30.8% saved)
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 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 a (/.f64 #s(literal -1 binary64) d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (neg (/ (- a (/ (* b c) d)) d)) (*.f64 c (/.f64 b (*.f64 d d))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (- (* c b) (* d a))) (/.f64 c b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* d a) c)) c) (neg.f64 (*.f64 d (/.f64 a (*.f64 c c)))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 #s(approx (/ (- a (/ (* b c) d)) d) (*.f64 b (/.f64 c (*.f64 d (neg.f64 d))))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 a (*.f64 d (/.f64 #s(literal -1 binary64) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 d c) (neg.f64 a))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) c) a) d)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 a d) (neg.f64 c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) (-.f64 b (/.f64 (*.f64 d a) c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (neg.f64 d) (/.f64 c a))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 #s(literal -1 binary64) (/.f64 c (*.f64 a d)))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (fma.f64 b (neg.f64 (/.f64 (*.f64 a d) (*.f64 b c))) b)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (fma.f64 (neg.f64 b) (/.f64 (*.f64 a d) (*.f64 c b)) b)) c)) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (-.f64 (*.f64 c b) (*.f64 d a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) #s(approx (- (* c b) (* d a)) (*.f64 d (neg.f64 a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (-.f64 (*.f64 c b) (*.f64 d a)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a)))) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (fma.f64 c b (/.f64 (*.f64 c (*.f64 c a)) d)) d) a) d)) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) |
1 calls:
| 13.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.1% | 4 | c |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 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 a (/.f64 #s(literal -1 binary64) d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (neg (/ (- a (/ (* b c) d)) d)) (*.f64 c (/.f64 b (*.f64 d d))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (- (* c b) (* d a))) (/.f64 c b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* d a) c)) c) (neg.f64 (*.f64 d (/.f64 a (*.f64 c c)))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 #s(approx (/ (- a (/ (* b c) d)) d) (*.f64 b (/.f64 c (*.f64 d (neg.f64 d))))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 a (*.f64 d (/.f64 #s(literal -1 binary64) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 d c) (neg.f64 a))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) c) a) d)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 a d) (neg.f64 c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) (-.f64 b (/.f64 (*.f64 d a) c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (neg.f64 d) (/.f64 c a))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (*.f64 (/.f64 #s(literal 1 binary64) c) a))) c)) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) |
2 calls:
| 9.0ms | c |
| 9.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.7% | 3 | d |
| 81.5% | 3 | c |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 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 a (/.f64 #s(literal -1 binary64) d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (neg (/ (- a (/ (* b c) d)) d)) (*.f64 c (/.f64 b (*.f64 d d))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (- (* c b) (* d a))) (/.f64 c b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* d a) c)) c) (neg.f64 (*.f64 d (/.f64 a (*.f64 c c)))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 #s(approx (/ (- a (/ (* b c) d)) d) (*.f64 b (/.f64 c (*.f64 d (neg.f64 d))))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 a (*.f64 d (/.f64 #s(literal -1 binary64) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 d c) (neg.f64 a))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) |
#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 (-.f64 b (*.f64 a (/.f64 d c))) c)) |
2 calls:
| 7.0ms | d |
| 7.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.5% | 3 | c |
| 80.0% | 3 | d |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 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 a (/.f64 #s(literal -1 binary64) d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (neg (/ (- a (/ (* b c) d)) d)) (*.f64 c (/.f64 b (*.f64 d d))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (- (* c b) (* d a))) (/.f64 c b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* d a) c)) c) (neg.f64 (*.f64 d (/.f64 a (*.f64 c c)))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 #s(approx (/ (- a (/ (* b c) d)) d) (*.f64 b (/.f64 c (*.f64 d (neg.f64 d))))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 a (*.f64 d (/.f64 #s(literal -1 binary64) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 d c) (neg.f64 a))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d))) |
2 calls:
| 7.0ms | c |
| 7.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.6% | 3 | d |
| 76.6% | 3 | c |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 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 a (/.f64 #s(literal -1 binary64) d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (neg (/ (- a (/ (* b c) d)) d)) (*.f64 c (/.f64 b (*.f64 d d))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (- (* c b) (* d a))) (/.f64 c b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* d a) c)) c) (neg.f64 (*.f64 d (/.f64 a (*.f64 c c)))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 #s(approx (/ (- a (/ (* b c) d)) d) (*.f64 b (/.f64 c (*.f64 d (neg.f64 d))))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 a (*.f64 d (/.f64 #s(literal -1 binary64) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 d c) (neg.f64 a))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
| 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 d d (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 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)) |
4 calls:
| 64.0ms | c |
| 6.0ms | a |
| 6.0ms | d |
| 6.0ms | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.1% | 6 | a |
| 54.9% | 3 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 72.9% | 5 | c |
| 71.0% | 4 | d |
Compiled 34 to 23 computations (32.4% 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 a (neg.f64 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 a (/.f64 #s(literal -1 binary64) d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (neg (/ (- a (/ (* b c) d)) d)) (*.f64 c (/.f64 b (*.f64 d d))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (- (* c b) (* d a))) (/.f64 c b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* d a) c)) c) (neg.f64 (*.f64 d (/.f64 a (*.f64 c c)))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 #s(approx (/ (- a (/ (* b c) d)) d) (*.f64 b (/.f64 c (*.f64 d (neg.f64 d))))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 a (*.f64 d (/.f64 #s(literal -1 binary64) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 d c) (neg.f64 a))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
2 calls:
| 6.0ms | c |
| 6.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.7% | 3 | d |
| 71.0% | 4 | c |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 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 a (/.f64 #s(literal -1 binary64) d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (neg (/ (- a (/ (* b c) d)) d)) (*.f64 c (/.f64 b (*.f64 d d))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (- (* c b) (* d a))) (/.f64 c b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* d a) c)) c) (neg.f64 (*.f64 d (/.f64 a (*.f64 c c)))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (neg.f64 #s(approx (/ (- a (/ (* b c) d)) d) (*.f64 b (/.f64 c (*.f64 d (neg.f64 d))))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 a (*.f64 d (/.f64 #s(literal -1 binary64) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))))) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 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 a (neg.f64 d))) |
2 calls:
| 5.0ms | c |
| 4.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.7% | 3 | d |
| 67.8% | 3 | c |
Compiled 10 to 8 computations (20% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
5 calls:
| 1.0ms | a |
| 1.0ms | d |
| 1.0ms | b |
| 1.0ms | c |
| 1.0ms | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 47.2% | 1 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 47.2% | 1 | a |
| 47.2% | 1 | b |
| 47.2% | 1 | c |
| 47.2% | 1 | d |
Compiled 39 to 27 computations (30.8% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 1.8286271680507868e-30 | 9.881804613908835e-22 |
| 12.0ms | -1.1321267015231055e-72 | -2.2946536880303613e-76 |
| 15.0ms | -4.83475991545316e+159 | -3.1441219750850462e+156 |
| 27.0ms | 400× | 0 | valid |
Compiled 948 to 516 computations (45.6% saved)
ival-mult: 12.0ms (67.4% of total)ival-sub: 2.0ms (11.2% of total)ival-div: 2.0ms (11.2% of total)ival-add: 2.0ms (11.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.8286271680507868e-30 | 9.881804613908835e-22 |
| 10.0ms | -1.1321267015231055e-72 | -2.2946536880303613e-76 |
| 18.0ms | -2.1407138102724094e+46 | -3.447448592593049e+41 |
| 20.0ms | 240× | 0 | valid |
Compiled 852 to 516 computations (39.4% saved)
ival-sub: 6.0ms (41.9% of total)ival-mult: 5.0ms (34.9% of total)ival-div: 1.0ms (7% 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 |
|---|---|---|
| 13.0ms | 0.001043279869220851 | 78.05166961761074 |
| 13.0ms | -3.955350209244986e+47 | -3.410336492103626e+42 |
| 17.0ms | 288× | 0 | valid |
Compiled 562 to 342 computations (39.1% saved)
ival-mult: 6.0ms (57.8% of total)ival-div: 2.0ms (19.3% of total)ival-sub: 1.0ms (9.6% of total)ival-add: 1.0ms (9.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.8286271680507868e-30 | 9.881804613908835e-22 |
| 16.0ms | -3.447448592593049e+41 | -3.4131150589887927e+21 |
| 11.0ms | 176× | 0 | valid |
Compiled 622 to 378 computations (39.2% saved)
ival-mult: 4.0ms (61.3% of total)ival-sub: 1.0ms (15.3% of total)ival-div: 1.0ms (15.3% of total)ival-add: 1.0ms (15.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.001043279869220851 | 78.05166961761074 |
| 15.0ms | -4.332233628861631e+64 | -3.955350209244986e+47 |
| 10.0ms | 160× | 0 | valid |
Compiled 497 to 322 computations (35.2% saved)
ival-mult: 4.0ms (69% of total)ival-sub: 1.0ms (17.2% of total)ival-div: 1.0ms (17.2% of total)ival-add: 1.0ms (17.2% 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 |
|---|---|---|
| 10.0ms | 7.051501889286339e+92 | 3.574702790218717e+94 |
| 5.0ms | 1.8286271680507868e-30 | 9.881804613908835e-22 |
| 13.0ms | -1.0630911457775192e-148 | -1.2689029783096218e-153 |
| 4.0ms | -4.83475991545316e+159 | -3.1441219750850462e+156 |
| 18.0ms | 304× | 0 | valid |
Compiled 881 to 547 computations (37.9% saved)
ival-mult: 7.0ms (63.2% of total)ival-div: 2.0ms (18.1% of total)ival-sub: 1.0ms (9% of total)ival-add: 1.0ms (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 |
|---|---|---|
| 6.0ms | 1.8286271680507868e-30 | 9.881804613908835e-22 |
| 1.0ms | -1.0630911457775192e-148 | -1.2689029783096218e-153 |
| 1.0ms | -4.83475991545316e+159 | -3.1441219750850462e+156 |
| 4.0ms | 64× | 0 | valid |
Compiled 627 to 399 computations (36.4% saved)
ival-mult: 1.0ms (44.5% of total)ival-sub: 0.0ms (0% of total)ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 0.001043279869220851 | 78.05166961761074 |
| 1.0ms | -4.332233628861631e+64 | -3.955350209244986e+47 |
| 1.0ms | 16× | 0 | valid |
Compiled 383 to 265 computations (30.8% saved)
ival-sub: 0.0ms (0% of total)ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 26× | *-commutative_binary64 |
| 26× | +-commutative_binary64 |
| 24× | sub-neg_binary64 |
| 18× | neg-sub0_binary64 |
| 18× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 97 | 750 |
| 1 | 124 | 750 |
| 2 | 152 | 750 |
| 3 | 168 | 750 |
| 4 | 176 | 750 |
| 5 | 179 | 750 |
| 6 | 180 | 750 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 c #s(literal -3200000000000000022963940930912538573057967398053129977814808708680021173775626884104531423506438058572370362025496388360322609095343015230487476917667627008 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) (if (<=.f64 c #s(literal -4237034830775731/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504 binary64)) (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) (if (<=.f64 c #s(literal 3136042293543369/174224571863520493293247799005065324265472 binary64)) #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 (-.f64 b (*.f64 a (/.f64 d c))) c))))) |
(if (<=.f64 c #s(literal -640000000000000019442305819328234681008128 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) (if (<=.f64 c #s(literal -1209490110948601/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 c #s(literal 3136042293543369/174224571863520493293247799005065324265472 binary64)) #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 (-.f64 b (*.f64 a (/.f64 d c))) c))))) |
(if (<=.f64 d #s(literal -58999999999999998470209415418320662562865152 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) (if (<=.f64 d #s(literal 38 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)))) |
(if (<=.f64 c #s(literal -11000000000000001130709797767741440 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) (if (<=.f64 c #s(literal 3136042293543369/174224571863520493293247799005065324265472 binary64)) #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 (-.f64 b (*.f64 a (/.f64 d c))) c)))) |
(if (<=.f64 d #s(literal -155000000000000001441549536622769598046203046526976 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d))) (if (<=.f64 d #s(literal 38 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d))))) |
(if (<=.f64 c #s(literal -3200000000000000022963940930912538573057967398053129977814808708680021173775626884104531423506438058572370362025496388360322609095343015230487476917667627008 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 c #s(literal -5758609657015291/230344386280611654799899571593522271174128492457058131614758685317726084130380178960334883128519211886075950624436269830308263222041308144077235977260296389382897664 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c))))) (if (<=.f64 c #s(literal 8711228593176025/696898287454081973172991196020261297061888 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d))) (if (<=.f64 c #s(literal 749999999999999945688905802977242987289481237198023593891341842771664580074072827271145586688 binary64)) (/.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)))))) |
(if (<=.f64 c #s(literal -3200000000000000022963940930912538573057967398053129977814808708680021173775626884104531423506438058572370362025496388360322609095343015230487476917667627008 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 c #s(literal -5758609657015291/230344386280611654799899571593522271174128492457058131614758685317726084130380178960334883128519211886075950624436269830308263222041308144077235977260296389382897664 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c))))) (if (<=.f64 c #s(literal 8711228593176025/348449143727040986586495598010130648530944 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))))) |
(if (<=.f64 d #s(literal -149999999999999990675467327498519990820462139539456 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d))) (if (<=.f64 d #s(literal 36 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 a (neg.f64 d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
| Outputs |
|---|
(if (<=.f64 c #s(literal -3200000000000000022963940930912538573057967398053129977814808708680021173775626884104531423506438058572370362025496388360322609095343015230487476917667627008 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) (if (<=.f64 c #s(literal -4237034830775731/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504 binary64)) (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) (if (<=.f64 c #s(literal 3136042293543369/174224571863520493293247799005065324265472 binary64)) #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 (-.f64 b (*.f64 a (/.f64 d c))) c))))) |
(if (<=.f64 c #s(literal -3200000000000000022963940930912538573057967398053129977814808708680021173775626884104531423506438058572370362025496388360322609095343015230487476917667627008 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) (if (<=.f64 c #s(literal -4237034830775731/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504 binary64)) (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (/.f64 (neg.f64 (*.f64 a d)) (fma.f64 d d (*.f64 c c)))) (if (<=.f64 c #s(literal 3136042293543369/174224571863520493293247799005065324265472 binary64)) #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 (-.f64 b (*.f64 a (/.f64 d c))) c))))) |
(if (<=.f64 c #s(literal -640000000000000019442305819328234681008128 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) (if (<=.f64 c #s(literal -1209490110948601/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 c #s(literal 3136042293543369/174224571863520493293247799005065324265472 binary64)) #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 (-.f64 b (*.f64 a (/.f64 d c))) c))))) |
(if (<=.f64 c #s(literal -640000000000000019442305819328234681008128 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) (if (<=.f64 c #s(literal -1209490110948601/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168 binary64)) (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 c #s(literal 3136042293543369/174224571863520493293247799005065324265472 binary64)) #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 (-.f64 b (*.f64 a (/.f64 d c))) c))))) |
(if (<=.f64 d #s(literal -58999999999999998470209415418320662562865152 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) (if (<=.f64 d #s(literal 38 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)))) |
(if (<=.f64 c #s(literal -11000000000000001130709797767741440 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) (if (<=.f64 c #s(literal 3136042293543369/174224571863520493293247799005065324265472 binary64)) #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 (-.f64 b (*.f64 a (/.f64 d c))) c)))) |
(if (<=.f64 d #s(literal -155000000000000001441549536622769598046203046526976 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d))) (if (<=.f64 d #s(literal 38 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d))))) |
(if (<=.f64 c #s(literal -3200000000000000022963940930912538573057967398053129977814808708680021173775626884104531423506438058572370362025496388360322609095343015230487476917667627008 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 c #s(literal -5758609657015291/230344386280611654799899571593522271174128492457058131614758685317726084130380178960334883128519211886075950624436269830308263222041308144077235977260296389382897664 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c))))) (if (<=.f64 c #s(literal 8711228593176025/696898287454081973172991196020261297061888 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d))) (if (<=.f64 c #s(literal 749999999999999945688905802977242987289481237198023593891341842771664580074072827271145586688 binary64)) (/.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)))))) |
(if (<=.f64 c #s(literal -3200000000000000022963940930912538573057967398053129977814808708680021173775626884104531423506438058572370362025496388360322609095343015230487476917667627008 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 c #s(literal -5758609657015291/230344386280611654799899571593522271174128492457058131614758685317726084130380178960334883128519211886075950624436269830308263222041308144077235977260296389382897664 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c))))) (if (<=.f64 c #s(literal 8711228593176025/696898287454081973172991196020261297061888 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d))) (if (<=.f64 c #s(literal 749999999999999945688905802977242987289481237198023593891341842771664580074072827271145586688 binary64)) (/.f64 (-.f64 (*.f64 c b) (*.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)))))) |
(if (<=.f64 c #s(literal -3200000000000000022963940930912538573057967398053129977814808708680021173775626884104531423506438058572370362025496388360322609095343015230487476917667627008 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 c #s(literal -5758609657015291/230344386280611654799899571593522271174128492457058131614758685317726084130380178960334883128519211886075950624436269830308263222041308144077235977260296389382897664 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c))))) (if (<=.f64 c #s(literal 8711228593176025/348449143727040986586495598010130648530944 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))))) |
(if (<=.f64 d #s(literal -149999999999999990675467327498519990820462139539456 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d))) (if (<=.f64 d #s(literal 36 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 a (neg.f64 d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
| 11 542× | lower-fma.f64 |
| 11 542× | lower-fma.f32 |
| 7 930× | lower-fma.f64 |
| 7 930× | lower-fma.f32 |
| 7 890× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 745 | 9449 |
| 1 | 2493 | 9105 |
| 0 | 8769 | 8658 |
| 0 | 30 | 191 |
| 0 | 46 | 193 |
| 1 | 216 | 179 |
| 2 | 1614 | 179 |
| 0 | 8500 | 179 |
| 0 | 40 | 271 |
| 0 | 58 | 271 |
| 1 | 244 | 271 |
| 2 | 1661 | 271 |
| 0 | 8192 | 262 |
| 0 | 11 | 35 |
| 0 | 18 | 35 |
| 1 | 65 | 35 |
| 2 | 505 | 35 |
| 3 | 6376 | 35 |
| 0 | 8178 | 33 |
| 0 | 191 | 1511 |
| 1 | 623 | 1461 |
| 2 | 1863 | 1441 |
| 3 | 5484 | 1432 |
| 0 | 8487 | 1356 |
| 0 | 347 | 9587 |
| 1 | 1066 | 9245 |
| 2 | 3349 | 9079 |
| 0 | 8477 | 8734 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 788 to 355 computations (54.9% saved)
Compiled 804 to 226 computations (71.9% saved)
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