
Time bar (total: 9.1s)
| 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)
| 868.0ms | 8 256× | 0 | valid |
ival-mult: 458.0ms (74.4% of total)ival-sub: 67.0ms (10.9% of total)ival-div: 47.0ms (7.6% of total)ival-add: 34.0ms (5.5% of total)ival-true: 6.0ms (1% of total)ival-assert: 3.0ms (0.5% 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 |
| 54.0ms | 512× | 0 | valid |
Compiled 113 to 37 computations (67.3% saved)
ival-mult: 28.0ms (77.5% of total)ival-div: 3.0ms (8.3% of total)ival-sub: 2.0ms (5.5% of total)ival-add: 2.0ms (5.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 675× | unsub-neg |
| 491× | div-sub |
| 438× | distribute-rgt-in |
| 437× | distribute-lft-in |
| 376× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 214 |
| 1 | 202 | 214 |
| 2 | 402 | 214 |
| 3 | 976 | 214 |
| 4 | 2796 | 214 |
| 5 | 4580 | 214 |
| 6 | 5390 | 214 |
| 7 | 5495 | 214 |
| 8 | 5515 | 214 |
| 9 | 5531 | 214 |
| 10 | 5531 | 214 |
| 11 | 5995 | 214 |
| 12 | 6203 | 214 |
| 13 | 6203 | 214 |
| 14 | 6203 | 214 |
| 15 | 6299 | 214 |
| 16 | 6299 | 214 |
| 17 | 6371 | 214 |
| 18 | 6403 | 214 |
| 19 | 6403 | 214 |
| 20 | 6403 | 214 |
| 0 | 11 | 15 |
| 0 | 18 | 15 |
| 1 | 29 | 15 |
| 2 | 51 | 15 |
| 3 | 81 | 15 |
| 4 | 140 | 15 |
| 5 | 239 | 15 |
| 6 | 382 | 15 |
| 7 | 630 | 15 |
| 8 | 1092 | 15 |
| 9 | 1766 | 15 |
| 10 | 2007 | 15 |
| 11 | 2047 | 15 |
| 12 | 2075 | 15 |
| 13 | 2075 | 15 |
| 0 | 2075 | 14 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 (fma.f64 (neg.f64 a) d (*.f64 c b)) (fma.f64 d d (*.f64 c c))) |
Compiled 19 to 11 computations (42.1% saved)
Compiled 4 to 4 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 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)) |
| 376× | lower-fma.f64 |
| 376× | lower-fma.f32 |
| 318× | times-frac |
| 256× | lower-*.f32 |
| 252× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 45 |
| 0 | 18 | 45 |
| 1 | 29 | 45 |
| 2 | 51 | 45 |
| 3 | 81 | 45 |
| 4 | 140 | 45 |
| 5 | 239 | 45 |
| 6 | 382 | 45 |
| 7 | 630 | 45 |
| 8 | 1092 | 45 |
| 9 | 1766 | 45 |
| 10 | 2007 | 45 |
| 11 | 2047 | 45 |
| 12 | 2075 | 45 |
| 13 | 2075 | 45 |
| 0 | 2075 | 43 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(-.f64 (*.f64 b c) (*.f64 a d)) |
(*.f64 b c) |
b |
c |
(*.f64 a d) |
a |
d |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(*.f64 c c) |
(*.f64 d d) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 (fma.f64 (neg.f64 a) d (*.f64 c b)) (fma.f64 d d (*.f64 c c))) |
(-.f64 (*.f64 b c) (*.f64 a d)) |
(fma.f64 (neg.f64 a) d (*.f64 c b)) |
(*.f64 b c) |
(*.f64 c b) |
b |
c |
(*.f64 a d) |
(*.f64 d a) |
a |
d |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(fma.f64 d d (*.f64 c c)) |
(*.f64 c c) |
(*.f64 d d) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 a d) | |
| accuracy | 0.0078125 | (+.f64 (*.f64 c c) (*.f64 d d)) | |
| accuracy | 0.6679666858302059 | (-.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: 10.0ms (73.9% of total)ival-sub: 1.0ms (7.4% of total)ival-div: 1.0ms (7.4% of total)ival-add: 1.0ms (7.4% 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 | |
|---|---|---|---|---|
| 2.0ms | c | @ | 0 | (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) |
| 1.0ms | 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× | egg-herbie |
| 3 965× | lower-fma.f64 |
| 3 965× | lower-fma.f32 |
| 1 793× | lower-*.f64 |
| 1 793× | lower-*.f32 |
| 1 158× | 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 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)))) |
(fma.f64 c c (*.f64 d d)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(fma.f64 c c (*.f64 d d)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(fma.f64 c c (*.f64 d d)) |
(pow c 2) |
(*.f64 c c) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(fma.f64 c c (*.f64 d d)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(fma.f64 c c (*.f64 d d)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(fma.f64 c c (*.f64 d d)) |
(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)))) |
(fma.f64 c c (*.f64 d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(fma.f64 c c (*.f64 d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(fma.f64 c c (*.f64 d d)) |
(pow d 2) |
(*.f64 d d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(fma.f64 c c (*.f64 d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(fma.f64 c c (*.f64 d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(fma.f64 c c (*.f64 d d)) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d))))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d))))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d))))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d))))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d))))) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (/.f64 c d) c) a (*.f64 b c)) d) a) d) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(fma.f64 (fma.f64 (/.f64 (neg.f64 c) (pow.f64 d #s(literal 4 binary64))) b (/.f64 a (*.f64 (*.f64 d d) d))) (*.f64 c c) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) |
(/ b c) |
(/.f64 b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/.f64 (-.f64 b (/.f64 (fma.f64 (*.f64 (/.f64 d c) d) b (*.f64 a d)) c)) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(/.f64 (-.f64 b (/.f64 (fma.f64 a d (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 d) d) d) c) a (*.f64 b (*.f64 d d))) c)) c)) c) |
(/ b c) |
(/.f64 b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(/.f64 (-.f64 b (/.f64 (fma.f64 (*.f64 (/.f64 d c) d) b (*.f64 a d)) c)) c) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) |
(/.f64 (-.f64 b (/.f64 (fma.f64 a d (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 d) d) d) c) a (*.f64 b (*.f64 d d))) c)) c)) c) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d))))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d))))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d))))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 (fma.f64 (/.f64 b (*.f64 a (fma.f64 c c (*.f64 d d)))) c (/.f64 (neg.f64 d) (fma.f64 c c (*.f64 d d)))) a) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 (fma.f64 (/.f64 b (*.f64 a (fma.f64 c c (*.f64 d d)))) c (/.f64 (neg.f64 d) (fma.f64 c c (*.f64 d d)))) a) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 (fma.f64 (/.f64 b (*.f64 a (fma.f64 c c (*.f64 d d)))) c (/.f64 (neg.f64 d) (fma.f64 c c (*.f64 d d)))) a) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(*.f64 (fma.f64 (/.f64 b (*.f64 a (fma.f64 c c (*.f64 d d)))) c (/.f64 (neg.f64 d) (fma.f64 c c (*.f64 d d)))) a) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(*.f64 (fma.f64 (/.f64 b (*.f64 a (fma.f64 c c (*.f64 d d)))) c (/.f64 (neg.f64 d) (fma.f64 c c (*.f64 d d)))) a) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(*.f64 (fma.f64 (/.f64 b (*.f64 a (fma.f64 c c (*.f64 d d)))) c (/.f64 (neg.f64 d) (fma.f64 c c (*.f64 d d)))) a) |
(/ b c) |
(/.f64 b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(/.f64 (-.f64 b (/.f64 (fma.f64 (*.f64 (/.f64 d c) d) b (*.f64 a d)) c)) c) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(fma.f64 (fma.f64 (/.f64 a (pow.f64 c #s(literal 4 binary64))) d (/.f64 (neg.f64 b) (*.f64 (*.f64 c c) c))) (*.f64 d d) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (/.f64 c d) c) a (*.f64 b c)) d) a) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(/.f64 (-.f64 (/.f64 (fma.f64 b c (/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 c) c) c) (/.f64 b d) (*.f64 (*.f64 a c) c)) d)) d) a) d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (/.f64 c d) c) a (*.f64 b c)) d) a) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 b c (/.f64 (fma.f64 (*.f64 (*.f64 (neg.f64 c) c) c) (/.f64 b d) (*.f64 (*.f64 a c) c)) d)) d) a) d) |
(* -1 (* a d)) |
(*.f64 (neg.f64 d) a) |
(- (* b c) (* a d)) |
(fma.f64 (neg.f64 d) a (*.f64 b c)) |
(- (* b c) (* a d)) |
(fma.f64 (neg.f64 d) a (*.f64 b c)) |
(- (* b c) (* a d)) |
(fma.f64 (neg.f64 d) a (*.f64 b c)) |
(* b c) |
(*.f64 b c) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(fma.f64 (neg.f64 d) a (*.f64 b c)) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(fma.f64 (neg.f64 d) a (*.f64 b c)) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(fma.f64 (neg.f64 d) a (*.f64 b c)) |
(* b c) |
(*.f64 b c) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(fma.f64 (neg.f64 d) a (*.f64 b c)) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(fma.f64 (neg.f64 d) a (*.f64 b c)) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(fma.f64 (neg.f64 d) a (*.f64 b c)) |
(* -1 (* a d)) |
(*.f64 (neg.f64 d) a) |
(- (* b c) (* a d)) |
(fma.f64 (neg.f64 d) a (*.f64 b c)) |
(- (* b c) (* a d)) |
(fma.f64 (neg.f64 d) a (*.f64 b c)) |
(- (* b c) (* a d)) |
(fma.f64 (neg.f64 d) a (*.f64 b c)) |
(* b c) |
(*.f64 b c) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(fma.f64 (neg.f64 d) a (*.f64 b c)) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(fma.f64 (neg.f64 d) a (*.f64 b c)) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(fma.f64 (neg.f64 d) a (*.f64 b c)) |
(* b c) |
(*.f64 b c) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(fma.f64 (neg.f64 d) a (*.f64 b c)) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(fma.f64 (neg.f64 d) a (*.f64 b c)) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(fma.f64 (neg.f64 d) a (*.f64 b c)) |
(* b c) |
(*.f64 b c) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 (neg.f64 d) a (*.f64 b c)) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 (neg.f64 d) a (*.f64 b c)) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 (neg.f64 d) a (*.f64 b c)) |
(* -1 (* a d)) |
(*.f64 (neg.f64 d) a) |
(* a (- (/ (* b c) a) d)) |
(*.f64 (-.f64 (/.f64 (*.f64 b c) a) d) a) |
(* a (- (/ (* b c) a) d)) |
(*.f64 (-.f64 (/.f64 (*.f64 b c) a) d) a) |
(* a (- (/ (* b c) a) d)) |
(*.f64 (-.f64 (/.f64 (*.f64 b c) a) d) a) |
(* -1 (* a d)) |
(*.f64 (neg.f64 d) a) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(*.f64 (-.f64 (/.f64 (*.f64 b c) a) d) a) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(*.f64 (-.f64 (/.f64 (*.f64 b c) a) d) a) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(*.f64 (-.f64 (/.f64 (*.f64 b c) a) d) a) |
(* b c) |
(*.f64 b c) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 (neg.f64 d) a (*.f64 b c)) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 (neg.f64 d) a (*.f64 b c)) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 (neg.f64 d) a (*.f64 b c)) |
(* -1 (* a d)) |
(*.f64 (neg.f64 d) a) |
(* d (- (/ (* b c) d) a)) |
(*.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) |
(* d (- (/ (* b c) d) a)) |
(*.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) |
(* d (- (/ (* b c) d) a)) |
(*.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) |
(* -1 (* a d)) |
(*.f64 (neg.f64 d) a) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(*.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(*.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(*.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
| 2 793× | lower-fma.f64 |
| 2 793× | lower-fma.f32 |
| 2 673× | lower-*.f32 |
| 2 669× | lower-*.f64 |
| 1 617× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 35 |
| 0 | 18 | 35 |
| 1 | 65 | 35 |
| 2 | 505 | 35 |
| 3 | 6376 | 35 |
| 0 | 8178 | 33 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 c c) (*.f64 d d)) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(-.f64 (*.f64 b c) (*.f64 a d)) |
(*.f64 b c) |
(*.f64 a d) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 c d) (+.f64 d c)) (fma.f64 d d (*.f64 c c))) (*.f64 (fma.f64 (*.f64 c c) c (*.f64 (*.f64 d d) d)) (-.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 d d) d)))) (fma.f64 (*.f64 d d) (fma.f64 d d (*.f64 c c)) (*.f64 (*.f64 c c) (*.f64 c c)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c))) (*.f64 (fma.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 d d) (*.f64 (*.f64 c c) (*.f64 c c))) (fma.f64 (*.f64 (*.f64 c c) c) c (*.f64 (*.f64 (neg.f64 d) d) (*.f64 (+.f64 d c) (-.f64 d c)))))) (fma.f64 (*.f64 (*.f64 c c) c) c (*.f64 (*.f64 (neg.f64 d) d) (*.f64 (+.f64 d c) (-.f64 d c))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 d d)) (*.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 d d))) (*.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 d d))))) (fma.f64 (*.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 d d)) (-.f64 (*.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 c c))) (*.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 c c) (*.f64 c c))))) |
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 c d) (+.f64 d c)) (fma.f64 d d (*.f64 c c))) (*.f64 (*.f64 (-.f64 c d) (+.f64 d c)) (fma.f64 d d (*.f64 c c)))) (fma.f64 d d (*.f64 c c))) |
(*.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (+.f64 d c)) (+.f64 d c)) |
(*.f64 (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 d c) (-.f64 d c)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 c d) (+.f64 d c))) (*.f64 (*.f64 (-.f64 c d) (+.f64 d c)) (fma.f64 d d (*.f64 c c)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 d d) (*.f64 (*.f64 c c) (*.f64 c c)))) (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c)))) |
(*.f64 (*.f64 (neg.f64 (fma.f64 d d (*.f64 c c))) (*.f64 (-.f64 c d) (+.f64 d c))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (+.f64 d c)) (-.f64 c d)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 d d) (*.f64 (*.f64 c c) (*.f64 c c)))))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
(*.f64 (*.f64 (*.f64 (-.f64 c d) (+.f64 d c)) (fma.f64 d d (*.f64 c c))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 c d) (+.f64 d c))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 (-.f64 c d) (+.f64 d c)) (fma.f64 d d (*.f64 c c))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 c d) (+.f64 d c)))) |
(*.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) |
(*.f64 (fma.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 d d) (*.f64 (*.f64 c c) (*.f64 c c))) (*.f64 (fma.f64 d d (*.f64 c c)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 d d) (*.f64 (*.f64 c c) (*.f64 c c)))))) |
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(*.f64 (fma.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 d d) d) (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 c c) c))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (*.f64 d d) (*.f64 (*.f64 c c) (*.f64 c c)))) #s(literal 1 binary64))) |
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(/.f64 (fma.f64 (*.f64 (*.f64 b c) c) (*.f64 (*.f64 b c) b) (*.f64 (*.f64 (*.f64 a d) a) (*.f64 (*.f64 a d) d))) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d)))) |
(neg.f64 (fma.f64 (neg.f64 b) c (*.f64 a d))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b c) c) (*.f64 (*.f64 b c) b)) (*.f64 (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d))) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (*.f64 (neg.f64 d) a) (fma.f64 a d (*.f64 b c)))))) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (*.f64 (neg.f64 d) a) (fma.f64 a d (*.f64 b c)))) (neg.f64 (*.f64 (*.f64 (*.f64 a a) a) (/.f64 (*.f64 (*.f64 d d) d) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d))))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b c) c) (*.f64 (*.f64 b c) b)) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 b c) c) (*.f64 (*.f64 b c) b)) (*.f64 (*.f64 b b) b)) (*.f64 (*.f64 c c) c) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d)) (*.f64 a d)) (fma.f64 a d (*.f64 b c))) (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d))))) (fma.f64 (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d)) (-.f64 (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d)) (*.f64 (*.f64 (*.f64 b c) c) b)) (*.f64 (*.f64 (*.f64 (*.f64 b c) c) (*.f64 (*.f64 b c) b)) (*.f64 b c))) (neg.f64 (*.f64 (*.f64 (*.f64 a a) a) (/.f64 (*.f64 (*.f64 d d) d) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d))))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b c) c) b) (fma.f64 (*.f64 (*.f64 b c) c) (*.f64 (*.f64 b c) b) (*.f64 (*.f64 (*.f64 a d) a) (*.f64 (*.f64 a d) d)))) (fma.f64 (*.f64 a d) (fma.f64 (neg.f64 b) c (*.f64 a d)) (*.f64 (*.f64 (*.f64 b c) c) b)) (neg.f64 (*.f64 (*.f64 (*.f64 a d) a) (/.f64 d (fma.f64 a d (*.f64 b c)))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b c) c) b) (*.f64 (fma.f64 a d (*.f64 b c)) (fma.f64 (neg.f64 d) a (*.f64 b c)))) (fma.f64 (neg.f64 d) a (*.f64 b c)) (neg.f64 (*.f64 (*.f64 (*.f64 a d) a) (/.f64 d (fma.f64 a d (*.f64 b c)))))) |
(fma.f64 (*.f64 d #s(literal -1 binary64)) a (*.f64 b c)) |
(fma.f64 (*.f64 (*.f64 b c) c) (/.f64 b (fma.f64 a d (*.f64 b c))) (neg.f64 (*.f64 (*.f64 (*.f64 a d) a) (/.f64 d (fma.f64 a d (*.f64 b c)))))) |
(fma.f64 (*.f64 (*.f64 b c) b) (/.f64 c (fma.f64 a d (*.f64 b c))) (neg.f64 (*.f64 (*.f64 (*.f64 a d) a) (/.f64 d (fma.f64 a d (*.f64 b c)))))) |
(fma.f64 (neg.f64 d) a (*.f64 b c)) |
(fma.f64 (*.f64 b b) (/.f64 (*.f64 c c) (fma.f64 a d (*.f64 b c))) (neg.f64 (*.f64 (*.f64 (*.f64 a d) a) (/.f64 d (fma.f64 a d (*.f64 b c)))))) |
(fma.f64 (pow.f64 (*.f64 b c) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (*.f64 b c) #s(literal 3/2 binary64)) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d)))) (neg.f64 (*.f64 (*.f64 (*.f64 a a) a) (/.f64 (*.f64 (*.f64 d d) d) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d))))))) |
(fma.f64 (*.f64 (*.f64 b b) b) (/.f64 (*.f64 (*.f64 c c) c) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d)))) (neg.f64 (*.f64 (*.f64 (*.f64 a a) a) (/.f64 (*.f64 (*.f64 d d) d) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d))))))) |
(fma.f64 (*.f64 (*.f64 c c) c) (/.f64 (*.f64 (*.f64 b b) b) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d)))) (neg.f64 (*.f64 (*.f64 (*.f64 a a) a) (/.f64 (*.f64 (*.f64 d d) d) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d))))))) |
(fma.f64 #s(literal -1 binary64) (*.f64 a d) (*.f64 b c)) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) (/.f64 (*.f64 b c) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d)))) (neg.f64 (*.f64 (*.f64 (*.f64 a a) a) (/.f64 (*.f64 (*.f64 d d) d) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d))))))) |
(fma.f64 (*.f64 (*.f64 (*.f64 b c) c) b) (/.f64 #s(literal 1 binary64) (fma.f64 a d (*.f64 b c))) (neg.f64 (*.f64 (*.f64 (*.f64 a d) a) (/.f64 d (fma.f64 a d (*.f64 b c)))))) |
(fma.f64 (*.f64 (*.f64 (*.f64 b c) c) (*.f64 (*.f64 b c) b)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d)))) (neg.f64 (*.f64 (*.f64 (*.f64 a a) a) (/.f64 (*.f64 (*.f64 d d) d) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d))))))) |
(fma.f64 (*.f64 a d) #s(literal -1 binary64) (*.f64 b c)) |
(fma.f64 a (neg.f64 d) (*.f64 b c)) |
(fma.f64 (*.f64 b c) (/.f64 (*.f64 (*.f64 (*.f64 b c) c) b) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d)))) (neg.f64 (*.f64 (*.f64 (*.f64 a a) a) (/.f64 (*.f64 (*.f64 d d) d) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d))))))) |
(fma.f64 (*.f64 b c) (/.f64 (*.f64 b c) (fma.f64 a d (*.f64 b c))) (neg.f64 (*.f64 (*.f64 (*.f64 a d) a) (/.f64 d (fma.f64 a d (*.f64 b c)))))) |
(fma.f64 b (/.f64 (*.f64 (*.f64 b c) c) (fma.f64 a d (*.f64 b c))) (neg.f64 (*.f64 (*.f64 (*.f64 a d) a) (/.f64 d (fma.f64 a d (*.f64 b c)))))) |
(fma.f64 b c (*.f64 (neg.f64 d) a)) |
(fma.f64 d (neg.f64 a) (*.f64 b c)) |
(fma.f64 (*.f64 c c) (/.f64 (*.f64 b b) (fma.f64 a d (*.f64 b c))) (neg.f64 (*.f64 (*.f64 (*.f64 a d) a) (/.f64 d (fma.f64 a d (*.f64 b c)))))) |
(fma.f64 c (/.f64 (*.f64 (*.f64 b c) b) (fma.f64 a d (*.f64 b c))) (neg.f64 (*.f64 (*.f64 (*.f64 a d) a) (/.f64 d (fma.f64 a d (*.f64 b c)))))) |
(fma.f64 c b (*.f64 (neg.f64 d) a)) |
(-.f64 (fma.f64 b c #s(literal 0 binary64)) (*.f64 a d)) |
(-.f64 (*.f64 (*.f64 (*.f64 b c) c) (/.f64 b (fma.f64 a d (*.f64 b c)))) (*.f64 (*.f64 (*.f64 a d) a) (/.f64 d (fma.f64 a d (*.f64 b c))))) |
(-.f64 (*.f64 (*.f64 (*.f64 b b) b) (/.f64 (*.f64 (*.f64 c c) c) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d))))) (*.f64 (*.f64 (*.f64 a a) a) (/.f64 (*.f64 (*.f64 d d) d) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d)))))) |
(-.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d))) |
(-.f64 (*.f64 b c) (*.f64 a d)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 b) c (*.f64 a d)))) #s(literal -1 binary64))) |
(+.f64 (neg.f64 (*.f64 (neg.f64 b) c)) (*.f64 (neg.f64 d) a)) |
(+.f64 (*.f64 (*.f64 (*.f64 b c) c) (/.f64 b (fma.f64 a d (*.f64 b c)))) (neg.f64 (*.f64 (*.f64 (*.f64 a d) a) (/.f64 d (fma.f64 a d (*.f64 b c)))))) |
(+.f64 (*.f64 (*.f64 (*.f64 b b) b) (/.f64 (*.f64 (*.f64 c c) c) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d))))) (neg.f64 (*.f64 (*.f64 (*.f64 a a) a) (/.f64 (*.f64 (*.f64 d d) d) (fma.f64 (*.f64 (*.f64 b c) c) b (*.f64 (fma.f64 a d (*.f64 b c)) (*.f64 a d))))))) |
(+.f64 (*.f64 (neg.f64 d) a) (*.f64 b c)) |
(+.f64 (*.f64 b c) (*.f64 (neg.f64 d) a)) |
(*.f64 b c) |
(*.f64 c b) |
(*.f64 (neg.f64 (neg.f64 d)) a) |
(*.f64 (neg.f64 (neg.f64 a)) d) |
(*.f64 (neg.f64 d) (neg.f64 a)) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 d) a)) |
(*.f64 (neg.f64 a) (neg.f64 d)) |
(*.f64 #s(literal 1 binary64) (*.f64 a d)) |
(*.f64 a (neg.f64 (neg.f64 d))) |
(*.f64 a d) |
(*.f64 d (neg.f64 (neg.f64 a))) |
(*.f64 d a) |
(neg.f64 (*.f64 (neg.f64 d) a)) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 d) a)) |
Compiled 24 549 to 1 318 computations (94.6% saved)
15 alts after pruning (15 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 631 | 15 | 646 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 632 | 15 | 647 |
| Status | Accuracy | Program |
|---|---|---|
| 59.2% | (fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (*.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c))))) | |
| ▶ | 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 a d))) (*.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 b c)) #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 b c)) (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 a d)))) | |
| 36.0% | (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) (+.f64 (*.f64 c c) (*.f64 d d))) | |
| 38.4% | (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) (+.f64 (*.f64 c c) (*.f64 d d))) | |
| ▶ | 58.3% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (neg.f64 d) a (*.f64 b c)))) |
| ▶ | 59.4% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) |
| 48.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) | |
| 44.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (/.f64 c d) c) a (*.f64 b c)) d) a) d)) | |
| 56.1% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (fma.f64 (*.f64 (/.f64 d c) d) b (*.f64 a d)) c)) c)) | |
| 39.6% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) | |
| ▶ | 47.2% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
| 38.2% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) | |
| ▶ | 35.7% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d))))) |
Compiled 558 to 284 computations (49.1% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 c c) | |
| cost-diff | 0 | (fma.f64 d d (*.f64 c c)) | |
| cost-diff | 0 | (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (neg.f64 d) a (*.f64 b c))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (neg.f64 d) a (*.f64 b c)))) | |
| cost-diff | 0 | (*.f64 a d) | |
| cost-diff | 0 | (*.f64 b c) | |
| cost-diff | 0 | (-.f64 (*.f64 b c) (*.f64 a d)) | |
| cost-diff | 0 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| cost-diff | 0 | (/.f64 a (fma.f64 c c (*.f64 d d))) | |
| cost-diff | 0 | (neg.f64 d) | |
| cost-diff | 0 | (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d))))) | |
| cost-diff | 0 | (/.f64 b c) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) | |
| cost-diff | 0 | (/.f64 (neg.f64 d) c) | |
| cost-diff | 0 | (fma.f64 (/.f64 (neg.f64 d) c) a b) | |
| cost-diff | 0 | (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) |
| 1 092× | lower-fma.f32 |
| 1 088× | lower-fma.f64 |
| 756× | lower-*.f32 |
| 751× | lower-*.f64 |
| 625× | times-frac |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 236 |
| 0 | 53 | 236 |
| 1 | 91 | 236 |
| 2 | 155 | 234 |
| 3 | 299 | 234 |
| 4 | 590 | 234 |
| 5 | 924 | 234 |
| 6 | 1612 | 234 |
| 7 | 2426 | 234 |
| 8 | 3661 | 234 |
| 9 | 4207 | 234 |
| 10 | 4357 | 234 |
| 11 | 4402 | 234 |
| 12 | 4431 | 234 |
| 13 | 4434 | 234 |
| 14 | 4638 | 234 |
| 15 | 4740 | 234 |
| 16 | 4854 | 234 |
| 17 | 5200 | 234 |
| 18 | 5200 | 234 |
| 19 | 5200 | 234 |
| 20 | 5200 | 234 |
| 21 | 5200 | 234 |
| 0 | 5200 | 234 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) |
(/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c) |
(fma.f64 (/.f64 (neg.f64 d) c) a b) |
(/.f64 (neg.f64 d) c) |
(neg.f64 d) |
d |
c |
a |
b |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
(/.f64 b c) |
b |
c |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d))))) |
(*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))) |
(neg.f64 d) |
d |
(/.f64 a (fma.f64 c c (*.f64 d d))) |
a |
(fma.f64 c c (*.f64 d d)) |
c |
(*.f64 d d) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(-.f64 (*.f64 b c) (*.f64 a d)) |
(*.f64 b c) |
b |
c |
(*.f64 a d) |
a |
d |
#s(approx (+ (* c c) (* d d)) (*.f64 d d)) |
(*.f64 d d) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (neg.f64 d) a (*.f64 b c)))) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (neg.f64 d) a (*.f64 b c))) |
(fma.f64 d d (*.f64 c c)) |
d |
(*.f64 c c) |
c |
(fma.f64 (neg.f64 d) a (*.f64 b c)) |
(neg.f64 d) |
a |
(*.f64 b c) |
b |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 a) c) d b) c)) |
(/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c) |
(/.f64 (fma.f64 (/.f64 (neg.f64 a) c) d b) c) |
(fma.f64 (/.f64 (neg.f64 d) c) a b) |
(fma.f64 (/.f64 (neg.f64 a) c) d b) |
(/.f64 (neg.f64 d) c) |
(neg.f64 d) |
d |
c |
a |
b |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
(/.f64 b c) |
b |
c |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) (neg.f64 a))) |
(*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))) |
(*.f64 (/.f64 d (fma.f64 d d (*.f64 c c))) (neg.f64 a)) |
(neg.f64 d) |
d |
(/.f64 a (fma.f64 c c (*.f64 d d))) |
(/.f64 a (fma.f64 d d (*.f64 c c))) |
a |
(fma.f64 c c (*.f64 d d)) |
(fma.f64 d d (*.f64 c c)) |
c |
(*.f64 d d) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 (fma.f64 (neg.f64 a) d (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(-.f64 (*.f64 b c) (*.f64 a d)) |
(fma.f64 (neg.f64 a) d (*.f64 c b)) |
(*.f64 b c) |
(*.f64 c b) |
b |
c |
(*.f64 a d) |
(*.f64 d a) |
a |
d |
#s(approx (+ (* c c) (* d d)) (*.f64 d d)) |
(*.f64 d d) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (neg.f64 d) a (*.f64 b c)))) |
(/.f64 (fma.f64 (neg.f64 a) d (*.f64 c b)) (fma.f64 d d (*.f64 c c))) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (neg.f64 d) a (*.f64 b c))) |
(/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (neg.f64 a) d (*.f64 c b))) |
(fma.f64 d d (*.f64 c c)) |
d |
(*.f64 c c) |
c |
(fma.f64 (neg.f64 d) a (*.f64 b c)) |
(fma.f64 (neg.f64 a) d (*.f64 c b)) |
(neg.f64 d) |
a |
(*.f64 b c) |
(*.f64 c b) |
b |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (fma.f64 d d (*.f64 c c)) | |
| accuracy | 0.2617159976055602 | (fma.f64 (neg.f64 d) a (*.f64 b c)) | |
| accuracy | 0.41473518274153814 | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (neg.f64 d) a (*.f64 b c)))) | |
| accuracy | 26.081689245292576 | (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (neg.f64 d) a (*.f64 b c))) | |
| accuracy | 0 | (*.f64 a d) | |
| accuracy | 0.6679666858302059 | (-.f64 (*.f64 b c) (*.f64 a d)) | |
| accuracy | 26.39485969538741 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| accuracy | 30.625025904622103 | #s(approx (+ (* c c) (* d d)) (*.f64 d d)) | |
| accuracy | 0.00390625 | (fma.f64 c c (*.f64 d d)) | |
| accuracy | 9.565950780941208 | (/.f64 a (fma.f64 c c (*.f64 d d))) | |
| accuracy | 11.213684352751818 | (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))) | |
| accuracy | 28.41405665465555 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d))))) | |
| accuracy | 0 | (/.f64 b c) | |
| accuracy | 33.801918059492465 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) | |
| accuracy | 0 | (neg.f64 d) | |
| accuracy | 1.1748425943871337 | (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c) | |
| accuracy | 1.9545883856036022 | (fma.f64 (/.f64 (neg.f64 d) c) a b) | |
| accuracy | 25.959686725449508 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) |
| 81.0ms | 256× | 0 | valid |
Compiled 220 to 27 computations (87.7% saved)
ival-mult: 33.0ms (52.1% of total)ival-add: 17.0ms (26.8% of total)ival-div: 11.0ms (17.4% of total)ival-sub: 1.0ms (1.6% of total)ival-neg: 1.0ms (1.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c) (patch (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 (neg.f64 d) c) a b) (patch (fma.f64 (/.f64 (neg.f64 d) c) a b) #<representation binary64>) () ()) |
#s(alt (/.f64 (neg.f64 d) c) (patch (/.f64 (neg.f64 d) c) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) #<representation binary64>) () ()) |
#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))) (patch (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))) #<representation binary64>) () ()) |
#s(alt (neg.f64 d) (patch (neg.f64 d) #<representation binary64>) () ()) |
#s(alt (/.f64 a (fma.f64 c c (*.f64 d d))) (patch (/.f64 a (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ()) |
#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ()) |
#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (neg.f64 d) a (*.f64 b c)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (neg.f64 d) a (*.f64 b c)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (neg.f64 d) a (*.f64 b c))) (patch (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (neg.f64 d) a (*.f64 b c))) #<representation binary64>) () ()) |
#s(alt (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 (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (taylor 0 b) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) 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 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) 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 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) 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 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) 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 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) 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 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) 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 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) 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 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) 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 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) 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 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) 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 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) 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 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor inf c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) 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 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) 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 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) 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 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor -inf c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) 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 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) 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 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) 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 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) 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 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) 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 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) 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 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) 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 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) 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 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) 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 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) 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 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) 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 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) 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 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) 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 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) 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 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) #<representation binary64>) () ())) ()) |
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#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 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d))))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) (taylor inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d))))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ a d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 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))) (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) (pow c 2))) (taylor 0 d) (#s(alt (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))) (patch (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))) #<representation binary64>) () ())) ()) |
#s(alt (* d (+ (* -1 (/ a (pow c 2))) (/ (* a (pow d 2)) (pow c 4)))) (taylor 0 d) (#s(alt (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))) (patch (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d 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 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))) (patch (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ a d)) (taylor inf d) (#s(alt (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))) (patch (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 a) (/ (* a (pow c 2)) (pow d 2))) d) (taylor inf d) (#s(alt (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))) (patch (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2)))) d) (taylor inf d) (#s(alt (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))) (patch (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ a d)) (taylor -inf d) (#s(alt (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))) (patch (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (* a (pow c 2)) (pow d 2)))) d)) (taylor -inf d) (#s(alt (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))) (patch (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d 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 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))) (patch (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (taylor 0 a) (#s(alt (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))) (patch (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (taylor 0 a) (#s(alt (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))) (patch (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (taylor 0 a) (#s(alt (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))) (patch (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (taylor 0 a) (#s(alt (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))) (patch (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (taylor inf a) (#s(alt (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))) (patch (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (taylor inf a) (#s(alt (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))) (patch (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (taylor inf a) (#s(alt (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))) (patch (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (taylor inf a) (#s(alt (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))) (patch (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (taylor -inf a) (#s(alt (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))) (patch (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (taylor -inf a) (#s(alt (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))) (patch (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (taylor -inf a) (#s(alt (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))) (patch (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (taylor -inf a) (#s(alt (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))) (patch (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))) (patch (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* a (pow c 2)) (pow d 3))) (taylor 0 c) (#s(alt (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))) (patch (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* (pow c 2) (+ (* -1 (/ (* a (pow c 2)) (pow d 5))) (/ a (pow d 3))))) (taylor 0 c) (#s(alt (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))) (patch (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* (pow c 2) (+ (* (pow c 2) (+ (* -1 (/ a (pow d 5))) (/ (* a (pow c 2)) (pow d 7)))) (/ a (pow d 3))))) (taylor 0 c) (#s(alt (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))) (patch (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) (pow c 2))) (taylor inf c) (#s(alt (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))) (patch (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor inf d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor inf d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (pow d 2) (taylor -inf d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* b c) (taylor 0 d) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* a d)) (* b c)) (taylor 0 d) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* a d)) (* b c)) (taylor 0 d) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* a d)) (* b c)) (taylor 0 d) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a d)) (taylor inf d) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (* d (+ (* -1 a) (/ (* b c) d))) (taylor inf d) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (* d (+ (* -1 a) (/ (* b c) d))) (taylor inf d) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (* d (+ (* -1 a) (/ (* b c) d))) (taylor inf d) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a d)) (taylor -inf d) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ a (* -1 (/ (* b c) d))))) (taylor -inf d) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ a (* -1 (/ (* b c) d))))) (taylor -inf d) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ a (* -1 (/ (* b c) d))))) (taylor -inf d) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (* b c) (taylor 0 a) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* a d)) (* b c)) (taylor 0 a) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* a d)) (* b c)) (taylor 0 a) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* a d)) (* b c)) (taylor 0 a) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a d)) (taylor inf a) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1 d) (/ (* b c) a))) (taylor inf a) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1 d) (/ (* b c) a))) (taylor inf a) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1 d) (/ (* b c) a))) (taylor inf a) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a d)) (taylor -inf a) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ d (* -1 (/ (* b c) a))))) (taylor -inf a) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ d (* -1 (/ (* b c) a))))) (taylor -inf a) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ d (* -1 (/ (* b c) a))))) (taylor -inf a) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a d)) (taylor 0 b) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* a d)) (* b c)) (taylor 0 b) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* a d)) (* b c)) (taylor 0 b) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* a d)) (* b c)) (taylor 0 b) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (* b c) (taylor inf b) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ c (* -1 (/ (* a d) b)))) (taylor inf b) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ c (* -1 (/ (* a d) b)))) (taylor inf b) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ c (* -1 (/ (* a d) b)))) (taylor inf b) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (* b c) (taylor -inf b) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ (* -1 c) (/ (* a d) b)))) (taylor -inf b) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ (* -1 c) (/ (* a d) b)))) (taylor -inf b) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ (* -1 c) (/ (* a d) b)))) (taylor -inf b) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a d)) (taylor 0 c) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* a d)) (* b c)) (taylor 0 c) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* a d)) (* b c)) (taylor 0 c) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* a d)) (* b c)) (taylor 0 c) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (* b c) (taylor inf c) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ b (* -1 (/ (* a d) c)))) (taylor inf c) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ b (* -1 (/ (* a d) c)))) (taylor inf c) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ b (* -1 (/ (* a d) c)))) (taylor inf c) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (* b c) (taylor -inf c) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 b) (/ (* a d) c)))) (taylor -inf c) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 b) (/ (* a d) c)))) (taylor -inf c) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 b) (/ (* a d) c)))) (taylor -inf c) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ()) |
186 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 17.0ms | d | @ | 0 | (* (neg d) (/ a (+ (* c c) (* d d)))) |
| 3.0ms | d | @ | inf | (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) |
| 3.0ms | d | @ | -inf | (/ (neg d) c) |
| 1.0ms | a | @ | 0 | (* (neg d) (/ a (+ (* c c) (* d d)))) |
| 1.0ms | a | @ | inf | (* (neg d) (/ a (+ (* c c) (* d d)))) |
| 1× | egg-herbie |
| 4 074× | lower-fma.f64 |
| 4 074× | lower-fma.f32 |
| 3 649× | lower-*.f64 |
| 3 649× | lower-*.f32 |
| 1 670× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 696 | 10309 |
| 1 | 2376 | 9878 |
| 0 | 8463 | 9386 |
| 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)) |
(/ 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)) |
(/ 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) (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 |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(* -1 (/ (* a d) c)) |
(* d (+ (* -1 (/ a c)) (/ b d))) |
(* d (+ (* -1 (/ a c)) (/ b d))) |
(* d (+ (* -1 (/ a c)) (/ b d))) |
(* -1 (/ (* a d) c)) |
(* -1 (* d (+ (* -1 (/ b d)) (/ a c)))) |
(* -1 (* d (+ (* -1 (/ b d)) (/ a c)))) |
(* -1 (* d (+ (* -1 (/ b d)) (/ a c)))) |
(* -1 (/ (* a d) c)) |
(/ (+ (* -1 (* a d)) (* b c)) c) |
(/ (+ (* -1 (* a d)) (* b c)) c) |
(/ (+ (* -1 (* a d)) (* b c)) 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))) |
b |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(* -1 (/ (* a d) c)) |
(* a (+ (* -1 (/ d c)) (/ b a))) |
(* a (+ (* -1 (/ d c)) (/ b a))) |
(* a (+ (* -1 (/ d c)) (/ b a))) |
(* -1 (/ (* a d) c)) |
(* -1 (* a (+ (* -1 (/ b a)) (/ d c)))) |
(* -1 (* a (+ (* -1 (/ b a)) (/ d c)))) |
(* -1 (* a (+ (* -1 (/ b a)) (/ d c)))) |
(* -1 (/ (* a d) c)) |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* 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))) |
(* -1 (/ d c)) |
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(* 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) |
(/ 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)) |
(+ (* -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)))))) |
(* -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))))))) |
(/ c b) |
(+ (/ c b) (/ (* a d) (pow b 2))) |
(+ (* d (- (* d (- (/ 1 (* b c)) (* -1 (/ (pow a 2) (* (pow b 3) c))))) (* -1 (/ a (pow b 2))))) (/ c b)) |
(+ (* d (- (* d (- (+ (/ 1 (* b c)) (/ (* a (* d (- (/ 1 (* b c)) (* -1 (/ (pow a 2) (* (pow b 3) c)))))) (* b c))) (* -1 (/ (pow a 2) (* (pow b 3) c))))) (* -1 (/ a (pow b 2))))) (/ c b)) |
(* -1 (/ d a)) |
(* d (- (* -1 (/ (* b c) (* (pow a 2) d))) (/ 1 a))) |
(* d (- (* -1 (/ (pow c 2) (* a (pow d 2)))) (+ (/ 1 a) (+ (/ (* b c) (* (pow a 2) d)) (/ (* (pow b 2) (pow c 2)) (* (pow a 3) (pow d 2))))))) |
(* d (- (+ (* -1 (/ (pow c 2) (* a (pow d 2)))) (/ (* b (* c (- (* -1 (/ (pow c 2) a)) (/ (* (pow b 2) (pow c 2)) (pow a 3))))) (* a (pow d 3)))) (+ (/ 1 a) (+ (/ (* b c) (* (pow a 2) d)) (/ (* (pow b 2) (pow c 2)) (* (pow a 3) (pow d 2))))))) |
(* -1 (/ d a)) |
(* -1 (* d (+ (/ 1 a) (/ (* b c) (* (pow a 2) d))))) |
(* -1 (* d (+ (* -1 (/ (- (* -1 (/ (- (/ (pow c 2) a) (* -1 (/ (* (pow b 2) (pow c 2)) (pow a 3)))) d)) (/ (* b c) (pow a 2))) d)) (/ 1 a)))) |
(* -1 (* d (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* b (* c (- (/ (pow c 2) a) (* -1 (/ (* (pow b 2) (pow c 2)) (pow a 3)))))) (* a d)) (/ (pow c 2) a)) (* -1 (/ (* (pow b 2) (pow c 2)) (pow a 3)))) d)) (/ (* b c) (pow a 2))) d)) (/ 1 a)))) |
(* -1 (/ 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)))) |
(/ (+ (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 (/ (+ (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 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) |
(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)))) |
(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)))) |
(* b c) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(* -1 (* a d)) |
(* d (+ (* -1 a) (/ (* b c) d))) |
(* d (+ (* -1 a) (/ (* b c) d))) |
(* d (+ (* -1 a) (/ (* b c) d))) |
(* -1 (* a d)) |
(* -1 (* d (+ a (* -1 (/ (* b c) d))))) |
(* -1 (* d (+ a (* -1 (/ (* b c) d))))) |
(* -1 (* d (+ a (* -1 (/ (* b c) d))))) |
(* b c) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(* -1 (* a d)) |
(* a (+ (* -1 d) (/ (* b c) a))) |
(* a (+ (* -1 d) (/ (* b c) a))) |
(* a (+ (* -1 d) (/ (* b c) a))) |
(* -1 (* a d)) |
(* -1 (* a (+ d (* -1 (/ (* b c) a))))) |
(* -1 (* a (+ d (* -1 (/ (* b c) a))))) |
(* -1 (* a (+ d (* -1 (/ (* b c) a))))) |
(* -1 (* a d)) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(* 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)) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(* 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)))) |
| Outputs |
|---|
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(*.f64 (neg.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)))) |
(fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(*.f64 (/.f64 c (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 (fma.f64 (neg.f64 a) (/.f64 d (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 c (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 (fma.f64 (neg.f64 a) (/.f64 d (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 c (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 (fma.f64 (neg.f64 a) (/.f64 d (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 c (fma.f64 d d (*.f64 c c)))) b) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(*.f64 (/.f64 c (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 (neg.f64 b) (fma.f64 d (/.f64 a (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 (neg.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) (fma.f64 d (/.f64 a (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 (neg.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) (fma.f64 d (/.f64 a (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 (neg.f64 c) (fma.f64 d d (*.f64 c c))))) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(fma.f64 (fma.f64 c (/.f64 a (*.f64 (*.f64 d d) d)) (/.f64 b (*.f64 d d))) c (/.f64 (neg.f64 a) d)) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (/.f64 c (*.f64 (*.f64 (*.f64 d d) d) d)) (/.f64 a (*.f64 (*.f64 d d) d))) c (/.f64 b (*.f64 d d))) c (/.f64 (neg.f64 a) d)) |
(/ b c) |
(/.f64 b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) (fma.f64 (neg.f64 b) (*.f64 d (/.f64 d (*.f64 c c))) b)) c) |
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(fma.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 b c) c) (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 d d) a) d) a) a)) (/.f64 (*.f64 (fma.f64 d d (*.f64 c c)) c) (*.f64 (*.f64 (*.f64 a a) d) d)))) b (/.f64 (neg.f64 (fma.f64 d d (*.f64 c c))) (*.f64 d a))) |
(+ (* -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)))))) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 d d (*.f64 c c)) c) (*.f64 c c)) (/.f64 b (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 d d) d) d))) (*.f64 (fma.f64 d d (*.f64 c c)) (/.f64 (*.f64 c c) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 d d) a) d) a) a))))) b (*.f64 (neg.f64 c) (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (*.f64 (*.f64 a a) d) d)))) b (/.f64 (neg.f64 (fma.f64 d d (*.f64 c c))) (*.f64 d a))) |
(/ (+ (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 (*.f64 (fma.f64 d d (*.f64 c c)) d) (/.f64 a (*.f64 (*.f64 b 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 (*.f64 (fma.f64 d d (*.f64 c c)) d) d) (/.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 (*.f64 b c) c) c) b)) (fma.f64 d (/.f64 d c) c)) (/.f64 (*.f64 (*.f64 (fma.f64 d d (*.f64 c c)) d) a) (*.f64 (*.f64 b 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 (*.f64 (*.f64 (fma.f64 d d (*.f64 c c)) d) d) d) (/.f64 (*.f64 (*.f64 a a) a) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) b) (*.f64 b b))) (fma.f64 d (/.f64 d c) c)) (neg.f64 (fma.f64 (*.f64 a a) (/.f64 (*.f64 (*.f64 (fma.f64 d d (*.f64 c c)) d) d) (*.f64 (*.f64 (*.f64 (*.f64 b c) c) c) b)) (/.f64 (*.f64 (*.f64 (fma.f64 d d (*.f64 c c)) d) a) (*.f64 (*.f64 b 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 (fma.f64 d d (*.f64 c c)) d) (/.f64 a (*.f64 (*.f64 b 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 (neg.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 d d (*.f64 c c)) c) (fma.f64 (*.f64 a a) (/.f64 (*.f64 (*.f64 (fma.f64 d d (*.f64 c c)) d) d) (*.f64 (*.f64 (*.f64 (*.f64 b c) c) c) b)) (/.f64 (*.f64 (*.f64 (fma.f64 d d (*.f64 c c)) d) a) (*.f64 (*.f64 b c) c)))))) 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)) |
(/.f64 (neg.f64 (+.f64 (+.f64 (/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 d d) a) d) a) a) (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (*.f64 (*.f64 (*.f64 c c) c) c) b)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 d d (*.f64 c c)) d) d) a) a) (*.f64 (*.f64 c c) c))))) (*.f64 b b)) (/.f64 (*.f64 (*.f64 (fma.f64 d d (*.f64 c c)) d) a) (*.f64 (*.f64 b c) c))) (/.f64 (fma.f64 d d (*.f64 c c)) c))) (neg.f64 b)) |
(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 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d)) |
(pow d 2) |
(*.f64 d d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d)) |
(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 (*.f64 (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64)) c) c) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 (*.f64 (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64)) c) c) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 (*.f64 (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64)) c) c) |
(pow c 2) |
(*.f64 c c) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 (*.f64 (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64)) c) c) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 (*.f64 (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64)) c) c) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 (*.f64 (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64)) c) c) |
(pow c 2) |
(*.f64 c c) |
(pow c 2) |
(*.f64 c c) |
(pow c 2) |
(*.f64 c c) |
(pow c 2) |
(*.f64 c c) |
(pow c 2) |
(*.f64 c c) |
(pow c 2) |
(*.f64 c c) |
(pow c 2) |
(*.f64 c c) |
(pow c 2) |
(*.f64 c c) |
(pow c 2) |
(*.f64 c c) |
(pow c 2) |
(*.f64 c c) |
(pow c 2) |
(*.f64 c c) |
(pow c 2) |
(*.f64 c c) |
(pow d 2) |
(*.f64 d d) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 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 (*.f64 (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64)) c) c) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 (*.f64 (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64)) c) c) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 (*.f64 (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64)) c) c) |
(pow c 2) |
(*.f64 c c) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 (*.f64 (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64)) c) c) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 (*.f64 (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64)) c) c) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 (*.f64 (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64)) 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)))) |
(*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d)) |
(pow d 2) |
(*.f64 d d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d)) |
(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 (*.f64 (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64)) c) c) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 (*.f64 (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64)) c) c) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 (*.f64 (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64)) c) c) |
(pow c 2) |
(*.f64 c c) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 (*.f64 (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64)) c) c) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 (*.f64 (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64)) c) c) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 (*.f64 (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64)) 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)))) |
(*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d)) |
(pow d 2) |
(*.f64 d d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) (*.f64 d d)) |
(* b c) |
(*.f64 b c) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 (neg.f64 d) a (*.f64 b c)) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 (neg.f64 d) a (*.f64 b c)) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 (neg.f64 d) a (*.f64 b c)) |
(* -1 (* a d)) |
(*.f64 (neg.f64 d) a) |
(* d (+ (* -1 a) (/ (* b c) d))) |
(*.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d) |
(* d (+ (* -1 a) (/ (* b c) d))) |
(*.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d) |
(* d (+ (* -1 a) (/ (* b c) d))) |
(*.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d) |
(* -1 (* a d)) |
(*.f64 (neg.f64 d) a) |
(* -1 (* d (+ a (* -1 (/ (* b c) d))))) |
(*.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d) |
(* -1 (* d (+ a (* -1 (/ (* b c) d))))) |
(*.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d) |
(* -1 (* d (+ a (* -1 (/ (* b c) d))))) |
(*.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d) |
(* b c) |
(*.f64 b c) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 (neg.f64 d) a (*.f64 b c)) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 (neg.f64 d) a (*.f64 b c)) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 (neg.f64 d) a (*.f64 b c)) |
(* -1 (* a d)) |
(*.f64 (neg.f64 d) a) |
(* a (+ (* -1 d) (/ (* b c) a))) |
(*.f64 (fma.f64 b (/.f64 c a) (neg.f64 d)) a) |
(* a (+ (* -1 d) (/ (* b c) a))) |
(*.f64 (fma.f64 b (/.f64 c a) (neg.f64 d)) a) |
(* a (+ (* -1 d) (/ (* b c) a))) |
(*.f64 (fma.f64 b (/.f64 c a) (neg.f64 d)) a) |
(* -1 (* a d)) |
(*.f64 (neg.f64 d) a) |
(* -1 (* a (+ d (* -1 (/ (* b c) a))))) |
(*.f64 (fma.f64 b (/.f64 c a) (neg.f64 d)) a) |
(* -1 (* a (+ d (* -1 (/ (* b c) a))))) |
(*.f64 (fma.f64 b (/.f64 c a) (neg.f64 d)) a) |
(* -1 (* a (+ d (* -1 (/ (* b c) a))))) |
(*.f64 (fma.f64 b (/.f64 c a) (neg.f64 d)) a) |
(* -1 (* a d)) |
(*.f64 (neg.f64 d) a) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 (neg.f64 d) a (*.f64 b c)) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 (neg.f64 d) a (*.f64 b c)) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 (neg.f64 d) a (*.f64 b c)) |
(* b c) |
(*.f64 b c) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(*.f64 (fma.f64 (neg.f64 a) (/.f64 d b) c) b) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(*.f64 (fma.f64 (neg.f64 a) (/.f64 d b) c) b) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(*.f64 (fma.f64 (neg.f64 a) (/.f64 d b) c) b) |
(* b c) |
(*.f64 b c) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(*.f64 (fma.f64 d (/.f64 a b) (neg.f64 c)) (neg.f64 b)) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(*.f64 (fma.f64 d (/.f64 a b) (neg.f64 c)) (neg.f64 b)) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(*.f64 (fma.f64 d (/.f64 a b) (neg.f64 c)) (neg.f64 b)) |
(* -1 (* a d)) |
(*.f64 (neg.f64 d) a) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 (neg.f64 d) a (*.f64 b c)) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 (neg.f64 d) a (*.f64 b c)) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 (neg.f64 d) a (*.f64 b c)) |
(* b c) |
(*.f64 b c) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(*.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(*.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(*.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c) |
(* b c) |
(*.f64 b c) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(*.f64 (neg.f64 c) (fma.f64 (/.f64 d c) a (neg.f64 b))) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(*.f64 (neg.f64 c) (fma.f64 (/.f64 d c) a (neg.f64 b))) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(*.f64 (neg.f64 c) (fma.f64 (/.f64 d c) a (neg.f64 b))) |
| 2 450× | lower-/.f32 |
| 2 443× | lower-/.f64 |
| 2 073× | lower-fma.f32 |
| 2 069× | lower-fma.f64 |
| 2 029× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 205 |
| 0 | 53 | 203 |
| 1 | 200 | 203 |
| 2 | 1459 | 203 |
| 0 | 8353 | 203 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) |
(/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c) |
(fma.f64 (/.f64 (neg.f64 d) c) a b) |
(/.f64 (neg.f64 d) c) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
(/.f64 b c) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d))))) |
(*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d)))) |
(neg.f64 d) |
(/.f64 a (fma.f64 c c (*.f64 d d))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(-.f64 (*.f64 b c) (*.f64 a d)) |
(*.f64 b c) |
(*.f64 a d) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (neg.f64 d) a (*.f64 b c)))) |
(/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (neg.f64 d) a (*.f64 b c))) |
(fma.f64 d d (*.f64 c c)) |
(*.f64 c c) |
(fma.f64 c c (*.f64 d d)) |
#s(approx (+ (* c c) (* d d)) (*.f64 d d)) |
(fma.f64 (neg.f64 d) a (*.f64 b c)) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c)) |
(*.f64 (pow.f64 (/.f64 c (fma.f64 (neg.f64 d) (/.f64 a c) b)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 c (fma.f64 (neg.f64 d) (/.f64 a c) b)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c))) c) (/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c))))) |
(*.f64 (pow.f64 (/.f64 c (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (*.f64 b b))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (neg.f64 d) c) a (neg.f64 b)))) |
(*.f64 (pow.f64 (/.f64 c (fma.f64 (*.f64 b b) b (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 d a)) (*.f64 (*.f64 c c) c)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c))))) |
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (*.f64 b b)) c) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (neg.f64 d) c) a (neg.f64 b)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 b b) b (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 d a)) (*.f64 (*.f64 c c) c))) c) (/.f64 #s(literal 1 binary64) (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c))))) |
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 (neg.f64 d) c) a (neg.f64 b)) c))) |
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 c (fma.f64 (/.f64 (neg.f64 d) c) a (neg.f64 b))))) |
(*.f64 (/.f64 #s(literal 1 binary64) c) (fma.f64 (neg.f64 d) (/.f64 a c) b)) |
(*.f64 (fma.f64 (*.f64 b b) b (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 d a)) (*.f64 (*.f64 c c) c))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c))) c))) |
(*.f64 (fma.f64 (*.f64 b b) b (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 d a)) (*.f64 (*.f64 c c) c))) (/.f64 #s(literal 1 binary64) (*.f64 c (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)))))) |
(*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 c (fma.f64 (neg.f64 d) (/.f64 a c) b))))) |
(*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) c)) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c)) |
(*.f64 (/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a (neg.f64 b)) (fma.f64 (/.f64 (neg.f64 d) c) a (neg.f64 b)))) |
(*.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) (/.f64 #s(literal 1 binary64) c)) |
(pow.f64 (/.f64 c (fma.f64 (neg.f64 d) (/.f64 a c) b)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (*.f64 b b)) c)) (neg.f64 (fma.f64 (/.f64 (neg.f64 d) c) a (neg.f64 b)))) |
(/.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 b b) b (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 d a)) (*.f64 (*.f64 c c) c))) c)) (neg.f64 (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c))))) |
(/.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (*.f64 b b)) c) (fma.f64 (/.f64 (neg.f64 d) c) a (neg.f64 b))) |
(/.f64 (/.f64 (fma.f64 (*.f64 b b) b (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 d a)) (*.f64 (*.f64 c c) c))) c) (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (*.f64 b b))) (neg.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 d) c) a (neg.f64 b)) c))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (*.f64 b b))) (neg.f64 (*.f64 c (fma.f64 (/.f64 (neg.f64 d) c) a (neg.f64 b))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 b b) b (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 d a)) (*.f64 (*.f64 c c) c)))) (neg.f64 (*.f64 (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c))) c))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 b b) b (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 d a)) (*.f64 (*.f64 c c) c)))) (neg.f64 (*.f64 c (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)))))) |
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (*.f64 b b)) (*.f64 c (fma.f64 (/.f64 (neg.f64 d) c) a (neg.f64 b)))) |
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (*.f64 b b)) (*.f64 (fma.f64 (/.f64 (neg.f64 d) c) a (neg.f64 b)) c)) |
(/.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 d) (/.f64 a c) b))) |
(/.f64 (fma.f64 (*.f64 b b) b (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 d a)) (*.f64 (*.f64 c c) c))) (*.f64 c (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c))))) |
(/.f64 (fma.f64 (*.f64 b b) b (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 d a)) (*.f64 (*.f64 c c) c))) (*.f64 (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c))) c)) |
(/.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (neg.f64 c)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 c (fma.f64 (neg.f64 d) (/.f64 a c) b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a (neg.f64 b)) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (*.f64 b b)) c))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c))) (/.f64 (fma.f64 (*.f64 b b) b (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 d a)) (*.f64 (*.f64 c c) c))) c))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 d) c) a (neg.f64 b)) c) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (*.f64 b b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c))) c) (fma.f64 (*.f64 b b) b (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 d a)) (*.f64 (*.f64 c c) c))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (fma.f64 (/.f64 (neg.f64 d) c) a (neg.f64 b))) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (*.f64 b b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)))) (fma.f64 (*.f64 b b) b (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 d a)) (*.f64 (*.f64 c c) c))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 c (fma.f64 (neg.f64 d) (/.f64 a c) b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 c (fma.f64 (neg.f64 d) (/.f64 a c) b))) |
(/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c) |
(neg.f64 (/.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) c)) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (*.f64 c (fma.f64 (/.f64 (neg.f64 d) c) a (neg.f64 b)))) (/.f64 (*.f64 b b) (*.f64 c (fma.f64 (/.f64 (neg.f64 d) c) a (neg.f64 b))))) |
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (fma.f64 (/.f64 (neg.f64 d) c) a (neg.f64 b))) c) (/.f64 (/.f64 (*.f64 b b) (fma.f64 (/.f64 (neg.f64 d) c) a (neg.f64 b))) c)) |
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) c)) |
(exp.f64 (*.f64 (log.f64 (/.f64 c (fma.f64 (neg.f64 d) (/.f64 a c) b))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (*.f64 b b) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c))) (/.f64 #s(literal 1 binary64) (+.f64 b (*.f64 (/.f64 d c) a)))) |
(*.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (*.f64 b b))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 (neg.f64 d) c) a (neg.f64 b))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 b b) b (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 d a)) (*.f64 (*.f64 c c) c)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)))))) |
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (neg.f64 d) c) a (neg.f64 b)))) |
(*.f64 (fma.f64 (*.f64 b b) b (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 d a)) (*.f64 (*.f64 c c) c))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 a) d) (*.f64 (/.f64 (neg.f64 d) c) a)) (*.f64 (*.f64 (neg.f64 a) d) b)) c)))) |
(*.f64 (fma.f64 (*.f64 b b) b (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 d a)) (*.f64 (*.f64 c c) c))) (/.f64 #s(literal 1 binary64) (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c))))) |
(*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 d c) a (neg.f64 b))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 d) (/.f64 a c) b)) |
(*.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 d) (/.f64 a c) b)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (fma.f64 (/.f64 (neg.f64 d) c) a (neg.f64 b))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (fma.f64 (/.f64 (neg.f64 d) c) a (neg.f64 b)))) (*.f64 (/.f64 (*.f64 b b) (fma.f64 (/.f64 (neg.f64 d) c) a (neg.f64 b))) (/.f64 (*.f64 b b) (fma.f64 (/.f64 (neg.f64 d) c) a (neg.f64 b))))) (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (fma.f64 (/.f64 (neg.f64 d) c) a (neg.f64 b))) (/.f64 (*.f64 b b) (fma.f64 (/.f64 (neg.f64 d) c) a (neg.f64 b))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (fma.f64 (/.f64 (neg.f64 d) c) a (neg.f64 b))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 b b) (fma.f64 (/.f64 (neg.f64 d) c) a (neg.f64 b))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (fma.f64 (/.f64 (neg.f64 d) c) a (neg.f64 b))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (fma.f64 (/.f64 (neg.f64 d) c) a (neg.f64 b))) (fma.f64 (/.f64 (*.f64 b b) (fma.f64 (/.f64 (neg.f64 d) c) a (neg.f64 b))) (/.f64 (*.f64 b b) (fma.f64 (/.f64 (neg.f64 d) c) a (neg.f64 b))) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (fma.f64 (/.f64 (neg.f64 d) c) a (neg.f64 b))) (/.f64 (*.f64 b b) (fma.f64 (/.f64 (neg.f64 d) c) a (neg.f64 b))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)))) (neg.f64 (+.f64 b (*.f64 (/.f64 d c) a)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (*.f64 b b)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (neg.f64 d) c) a (neg.f64 b))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 b b) b (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 d a)) (*.f64 (*.f64 c c) c))))) (neg.f64 (neg.f64 (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (fma.f64 (/.f64 (neg.f64 d) c) a (neg.f64 b))) (*.f64 (fma.f64 (/.f64 (neg.f64 d) c) a (neg.f64 b)) (*.f64 b b))) (*.f64 (fma.f64 (/.f64 (neg.f64 d) c) a (neg.f64 b)) (fma.f64 (/.f64 (neg.f64 d) c) a (neg.f64 b)))) |
(/.f64 (-.f64 (*.f64 b b) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c))) (+.f64 b (*.f64 (/.f64 d c) a))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (*.f64 b b))) (neg.f64 (fma.f64 (/.f64 (neg.f64 d) c) a (neg.f64 b)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 b b) b (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 d a)) (*.f64 (*.f64 c c) c)))) (neg.f64 (fma.f64 b b (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 a) d) (*.f64 (/.f64 (neg.f64 d) c) a)) (*.f64 (*.f64 (neg.f64 a) d) b)) c)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 b b) b (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 d a)) (*.f64 (*.f64 c c) c)))) (neg.f64 (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c))))) |
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (*.f64 b b)) (fma.f64 (/.f64 (neg.f64 d) c) a (neg.f64 b))) |
(/.f64 (fma.f64 (*.f64 b b) b (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 d a)) (*.f64 (*.f64 c c) c))) (fma.f64 b b (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 a) d) (*.f64 (/.f64 (neg.f64 d) c) a)) (*.f64 (*.f64 (neg.f64 a) d) b)) c))) |
(/.f64 (fma.f64 (*.f64 b b) b (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 d a)) (*.f64 (*.f64 c c) c))) (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 d) (/.f64 a c) b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b (*.f64 (/.f64 d c) a)) (-.f64 (*.f64 b b) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 a) d) (*.f64 (/.f64 (neg.f64 d) c) a)) (*.f64 (*.f64 (neg.f64 a) d) b)) c)) (fma.f64 (*.f64 b b) b (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 d a)) (*.f64 (*.f64 c c) c))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 d) (/.f64 a c) b)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 d) (/.f64 a c) b))) |
(neg.f64 (fma.f64 (/.f64 d c) a (neg.f64 b))) |
(fma.f64 (/.f64 d #s(literal -1 binary64)) (/.f64 a c) b) |
(fma.f64 (/.f64 a #s(literal -1 binary64)) (/.f64 d c) b) |
(fma.f64 (/.f64 a c) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) d)) b) |
(fma.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (/.f64 #s(literal -1 binary64) d)) b) |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (neg.f64 d) c) a (neg.f64 b))) (neg.f64 (/.f64 (*.f64 b b) (fma.f64 (/.f64 (neg.f64 d) c) a (neg.f64 b))))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 d c) a) b) |
(fma.f64 #s(literal -1 binary64) (neg.f64 b) (*.f64 (/.f64 (neg.f64 d) c) a)) |
(fma.f64 (*.f64 (neg.f64 a) d) (/.f64 #s(literal 1 binary64) c) b) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 d) c) a) b) |
(fma.f64 (*.f64 d a) (/.f64 #s(literal -1 binary64) c) b) |
(fma.f64 (/.f64 (neg.f64 d) c) a b) |
(fma.f64 (neg.f64 d) (/.f64 a c) b) |
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(*.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 d) a (*.f64 c b))) |
(*.f64 (fma.f64 (neg.f64 d) a (*.f64 c b)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 d) a (*.f64 c b))) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 (neg.f64 d) a (*.f64 c b)) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 c b) c) b) (fma.f64 d a (*.f64 c b))) (/.f64 (*.f64 (*.f64 (*.f64 c b) c) b) (fma.f64 d a (*.f64 c b)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (fma.f64 d a (*.f64 c b))) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (fma.f64 d a (*.f64 c b))))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 c b) c) b) (fma.f64 d a (*.f64 c b))) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (fma.f64 d a (*.f64 c b))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 b) c))) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 b) c)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 c b) c) b) (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 b) c))) (/.f64 (*.f64 (*.f64 (*.f64 c b) c) b) (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 b) c))))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 b) c))) (/.f64 (*.f64 (*.f64 (*.f64 c b) c) b) (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 b) c))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 b b) b)) (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (*.f64 (*.f64 (*.f64 c b) c) b))) (/.f64 (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 b b) b)) (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (*.f64 (*.f64 (*.f64 c b) c) b)))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 d a)) (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (*.f64 (*.f64 (*.f64 c b) c) b))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 d a)) (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (*.f64 (*.f64 (*.f64 c b) c) b))))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 b b) b)) (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (*.f64 (*.f64 (*.f64 c b) c) b))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 d a)) (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (*.f64 (*.f64 (*.f64 c b) c) b))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 c b) c) b) (fma.f64 d a (*.f64 c b))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (fma.f64 d a (*.f64 c b))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 c b) c) b) (fma.f64 d a (*.f64 c b))) (/.f64 (*.f64 (*.f64 (*.f64 c b) c) b) (fma.f64 d a (*.f64 c b))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (fma.f64 d a (*.f64 c b))) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (fma.f64 d a (*.f64 c b))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 c b) c) b) (fma.f64 d a (*.f64 c b))) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (fma.f64 d a (*.f64 c b))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 b) c))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 c b) c) b) (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 b) c))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 b) c))) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 b) c))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 c b) c) b) (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 b) c))) (/.f64 (*.f64 (*.f64 (*.f64 c b) c) b) (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 b) c))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 b) c))) (/.f64 (*.f64 (*.f64 (*.f64 c b) c) b) (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 b) c))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 b b) b)) (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (*.f64 (*.f64 (*.f64 c b) c) b))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 d a)) (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (*.f64 (*.f64 (*.f64 c b) c) b))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 b b) b)) (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (*.f64 (*.f64 (*.f64 c b) c) b))) (/.f64 (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 b b) b)) (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (*.f64 (*.f64 (*.f64 c b) c) b))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 d a)) (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (*.f64 (*.f64 (*.f64 c b) c) b))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 d a)) (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (*.f64 (*.f64 (*.f64 c b) c) b))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 b b) b)) (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (*.f64 (*.f64 (*.f64 c b) c) b))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 d a)) (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (*.f64 (*.f64 (*.f64 c b) c) b))))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 d a (*.f64 c b)) (fma.f64 (neg.f64 d) a (*.f64 c b))))) (neg.f64 (neg.f64 (fma.f64 d a (*.f64 c b))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 (neg.f64 d) a (*.f64 c b)) (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 b) c))))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 b) c))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 d a))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (*.f64 (*.f64 (*.f64 c b) c) b))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 d a))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 c b) (fma.f64 d a (*.f64 c b)) (*.f64 (*.f64 (*.f64 d a) d) a))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 c b) c) b) (fma.f64 d a (*.f64 c b))) (*.f64 (fma.f64 d a (*.f64 c b)) (*.f64 (*.f64 (*.f64 d a) d) a))) (*.f64 (fma.f64 d a (*.f64 c b)) (fma.f64 d a (*.f64 c b)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 b) c))) (*.f64 (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 b) c)) (*.f64 (*.f64 (*.f64 c b) c) b))) (*.f64 (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 b) c)) (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 b) c)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 b b) b)) (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (*.f64 (*.f64 (*.f64 c b) c) b))) (*.f64 (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (*.f64 (*.f64 (*.f64 c b) c) b)) (*.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 d a)))) (*.f64 (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (*.f64 (*.f64 (*.f64 c b) c) b)) (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (*.f64 (*.f64 (*.f64 c b) c) b)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 d a (*.f64 c b)) (fma.f64 (neg.f64 d) a (*.f64 c b)))) (neg.f64 (fma.f64 d a (*.f64 c b)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (neg.f64 d) a (*.f64 c b)) (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 b) c)))) (neg.f64 (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 b) c)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 d a)))) (neg.f64 (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (*.f64 (*.f64 (*.f64 c b) c) b)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 d a)))) (neg.f64 (fma.f64 (*.f64 c b) (fma.f64 d a (*.f64 c b)) (*.f64 (*.f64 (*.f64 d a) d) a)))) |
(/.f64 (*.f64 (fma.f64 d a (*.f64 c b)) (fma.f64 (neg.f64 d) a (*.f64 c b))) (fma.f64 d a (*.f64 c b))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 d) a (*.f64 c b)) (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 b) c))) (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 b) c))) |
(/.f64 (fma.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 d a))) (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (*.f64 (*.f64 (*.f64 c b) c) b))) |
(/.f64 (fma.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 b b) b) (*.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 d a))) (fma.f64 (*.f64 c b) (fma.f64 d a (*.f64 c b)) (*.f64 (*.f64 (*.f64 d a) d) a))) |
(/.f64 (fma.f64 d a (neg.f64 (*.f64 c b))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 d) a (*.f64 c b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 d) a (*.f64 c b)))) |
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 c b)) #s(literal 1 binary64)) |
(neg.f64 (fma.f64 d a (neg.f64 (*.f64 c b)))) |
(fma.f64 (*.f64 a #s(literal -1 binary64)) d (*.f64 c b)) |
(fma.f64 (*.f64 (*.f64 (*.f64 c b) c) b) (/.f64 #s(literal 1 binary64) (fma.f64 d a (*.f64 c b))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (fma.f64 d a (*.f64 c b))))) |
(fma.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 b) c))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 c b) c) b) (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 b) c))))) |
(fma.f64 (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (*.f64 (*.f64 (*.f64 c b) c) b))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 d a)) (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (*.f64 (*.f64 (*.f64 c b) c) b))))) |
(fma.f64 (neg.f64 a) d (*.f64 c b)) |
(fma.f64 #s(literal -1 binary64) (*.f64 d a) (*.f64 c b)) |
(fma.f64 (neg.f64 d) a (*.f64 c b)) |
(fma.f64 d (neg.f64 a) (*.f64 c b)) |
(fma.f64 a (neg.f64 d) (*.f64 c b)) |
(fma.f64 c b (*.f64 (neg.f64 a) d)) |
(fma.f64 b c (*.f64 (neg.f64 a) d)) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 c b) c) b) (fma.f64 d a (*.f64 c b))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (fma.f64 d a (*.f64 c b))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 b) c))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 c b) c) b) (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 b) c))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 b b) b)) (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (*.f64 (*.f64 (*.f64 c b) c) b))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 d a)) (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (*.f64 (*.f64 (*.f64 c b) c) b))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 c b) #s(literal 1 binary64)) (/.f64 (*.f64 d a) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 b b) b)) (fma.f64 (*.f64 c b) (fma.f64 d a (*.f64 c b)) (*.f64 (*.f64 (*.f64 d a) d) a))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 d a)) (fma.f64 (*.f64 c b) (fma.f64 d a (*.f64 c b)) (*.f64 (*.f64 (*.f64 d a) d) a)))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 c b) c) b) (fma.f64 d a (*.f64 c b))) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (fma.f64 d a (*.f64 c b)))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 b) c))) (/.f64 (*.f64 (*.f64 (*.f64 c b) c) b) (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 b) c)))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 b b) b)) (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (*.f64 (*.f64 (*.f64 c b) c) b))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 d a)) (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (*.f64 (*.f64 (*.f64 c b) c) b)))) |
(-.f64 #s(literal 0 binary64) (fma.f64 d a (neg.f64 (*.f64 c b)))) |
(-.f64 (*.f64 c b) (*.f64 d a)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 d) a (*.f64 c b)))) #s(literal -1 binary64))) |
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 c b) c) b) (fma.f64 d a (*.f64 c b))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (fma.f64 d a (*.f64 c b))))) |
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 b) c))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 c b) c) b) (fma.f64 (neg.f64 a) d (*.f64 (neg.f64 b) c))))) |
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) c) (*.f64 (*.f64 b b) b)) (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (*.f64 (*.f64 (*.f64 c b) c) b))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 d a)) (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (*.f64 (*.f64 (*.f64 c b) c) b))))) |
(+.f64 (*.f64 (neg.f64 a) d) (*.f64 c b)) |
(+.f64 (*.f64 c b) (*.f64 (neg.f64 a) d)) |
Compiled 56 752 to 3 585 computations (93.7% saved)
24 alts after pruning (21 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 919 | 16 | 1 935 |
| Fresh | 5 | 5 | 10 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 926 | 24 | 1 950 |
| 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 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 a d))) (*.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 b c)) #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 b c)) (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 a d)))) | |
| ▶ | 23.6% | (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
| 16.6% | (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| 48.9% | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b c)) (*.f64 a (/.f64 a (*.f64 (*.f64 (*.f64 b b) c) b)))) d (/.f64 a (*.f64 b b))) d (/.f64 c b)))) | |
| 45.4% | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (fma.f64 (neg.f64 (fma.f64 (fma.f64 b (/.f64 b (*.f64 (*.f64 (*.f64 a a) a) d)) (/.f64 #s(literal 1 binary64) (*.f64 d a))) c (/.f64 b (*.f64 a a)))) c (/.f64 (neg.f64 d) a)))) | |
| 46.9% | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b))) | |
| ✓ | 59.4% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) |
| 48.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) | |
| 58.7% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c)) | |
| 58.7% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)) | |
| 48.7% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) | |
| 36.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 (neg.f64 a) d) (fma.f64 c c (*.f64 d d)))) | |
| ▶ | 39.6% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
| 53.5% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ (neg d) c) a) b) (*.f64 (fma.f64 d (/.f64 a (*.f64 b c)) #s(literal -1 binary64)) (neg.f64 b))) c)) | |
| 22.5% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ (neg d) c) a) b) (*.f64 (/.f64 (neg.f64 a) c) d)) c)) | |
| ✓ | 47.2% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
| ▶ | 36.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a)))) |
| ▶ | 59.2% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c))) |
| 41.2% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)) | |
| 38.2% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) | |
| 47.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b)) | |
| 19.4% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) |
Compiled 798 to 428 computations (46.4% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 c c (*.f64 d d)) | |
| cost-diff | 0 | (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a)) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a)))) | |
| cost-diff | 576 | (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a))) | |
| cost-diff | 0 | (*.f64 a d) | |
| cost-diff | 0 | (*.f64 b c) | |
| cost-diff | 0 | (-.f64 (*.f64 b c) (*.f64 a d)) | |
| cost-diff | 0 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| cost-diff | 0 | (neg.f64 d) | |
| cost-diff | 0 | (*.f64 (neg.f64 d) a) | |
| cost-diff | 0 | #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) | |
| cost-diff | 0 | (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| cost-diff | 0 | (neg.f64 a) | |
| cost-diff | 0 | (/.f64 (neg.f64 a) d) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) | |
| cost-diff | 0 | (/.f64 d c) | |
| cost-diff | 0 | (fma.f64 (/.f64 d c) a (neg.f64 b)) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c))) | |
| cost-diff | 320 | (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) |
| 1 644× | lower-fma.f32 |
| 1 642× | lower-fma.f64 |
| 1 076× | lower-*.f32 |
| 1 069× | lower-*.f64 |
| 996× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 253 |
| 0 | 59 | 253 |
| 1 | 98 | 251 |
| 2 | 160 | 249 |
| 3 | 298 | 247 |
| 4 | 505 | 247 |
| 5 | 864 | 247 |
| 6 | 1692 | 247 |
| 7 | 3670 | 247 |
| 8 | 4724 | 247 |
| 9 | 5863 | 247 |
| 10 | 6410 | 247 |
| 11 | 6509 | 247 |
| 12 | 6511 | 247 |
| 13 | 6877 | 247 |
| 14 | 7089 | 247 |
| 15 | 7263 | 247 |
| 16 | 7589 | 247 |
| 17 | 7691 | 247 |
| 18 | 7697 | 247 |
| 19 | 7707 | 247 |
| 20 | 7711 | 247 |
| 21 | 7711 | 247 |
| 22 | 7923 | 244 |
| 0 | 8185 | 241 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c))) |
(*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) |
(fma.f64 (/.f64 d c) a (neg.f64 b)) |
(/.f64 d c) |
d |
c |
a |
(neg.f64 b) |
b |
(/.f64 #s(literal -1 binary64) c) |
#s(literal -1 binary64) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
(/.f64 (neg.f64 a) d) |
(neg.f64 a) |
a |
d |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) |
(*.f64 (neg.f64 d) a) |
(neg.f64 d) |
d |
a |
#s(approx (+ (* c c) (* d d)) (*.f64 d d)) |
(*.f64 d d) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(-.f64 (*.f64 b c) (*.f64 a d)) |
(*.f64 b c) |
b |
c |
(*.f64 a d) |
a |
d |
#s(approx (+ (* c c) (* d d)) (*.f64 c c)) |
(*.f64 c c) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a)))) |
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a))) |
#s(literal -1 binary64) |
(/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a)) |
(fma.f64 c c (*.f64 d d)) |
c |
(*.f64 d d) |
d |
(*.f64 d a) |
a |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) |
(*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) |
(/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c) |
(fma.f64 (/.f64 d c) a (neg.f64 b)) |
(/.f64 d c) |
d |
c |
a |
(neg.f64 b) |
b |
(/.f64 #s(literal -1 binary64) c) |
#s(literal -1 binary64) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
(/.f64 (neg.f64 a) d) |
(neg.f64 a) |
a |
d |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) |
#s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) |
(*.f64 (neg.f64 d) a) |
(*.f64 (neg.f64 a) d) |
(neg.f64 d) |
d |
a |
#s(approx (+ (* c c) (* d d)) (*.f64 d d)) |
(*.f64 d d) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(-.f64 (*.f64 b c) (*.f64 a d)) |
(fma.f64 (neg.f64 d) a (*.f64 c b)) |
(*.f64 b c) |
(*.f64 c b) |
b |
c |
(*.f64 a d) |
(*.f64 d a) |
a |
d |
#s(approx (+ (* c c) (* d d)) (*.f64 c c)) |
(*.f64 c c) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) (neg.f64 d))) |
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a))) |
(*.f64 (/.f64 a (fma.f64 d d (*.f64 c c))) (neg.f64 d)) |
#s(literal -1 binary64) |
(/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a)) |
(/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 d a)) |
(fma.f64 c c (*.f64 d d)) |
(fma.f64 d d (*.f64 c c)) |
c |
(*.f64 d d) |
d |
(*.f64 d a) |
a |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (fma.f64 c c (*.f64 d d)) | |
| accuracy | 0.4567654893885623 | (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a))) | |
| accuracy | 19.2005051777334 | (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a)) | |
| accuracy | 28.41405665465555 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a)))) | |
| accuracy | 0 | (*.f64 a d) | |
| accuracy | 0.6679666858302059 | (-.f64 (*.f64 b c) (*.f64 a d)) | |
| accuracy | 26.067669508350974 | #s(approx (+ (* c c) (* d d)) (*.f64 c c)) | |
| accuracy | 26.39485969538741 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| accuracy | 0 | (neg.f64 d) | |
| accuracy | 26.39485969538741 | (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| accuracy | 30.625025904622103 | #s(approx (+ (* c c) (* d d)) (*.f64 d d)) | |
| accuracy | 33.034043264230725 | #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) | |
| 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 | (neg.f64 b) | |
| accuracy | 1.3349988443871337 | (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) | |
| accuracy | 1.9545883856036022 | (fma.f64 (/.f64 d c) a (neg.f64 b)) | |
| accuracy | 25.959686725449508 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c))) |
| 51.0ms | 256× | 0 | valid |
Compiled 211 to 27 computations (87.2% saved)
ival-mult: 12.0ms (35.4% of total)ival-div: 10.0ms (29.5% of total)ival-neg: 9.0ms (26.5% of total)ival-add: 2.0ms (5.9% of total)ival-sub: 1.0ms (2.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) (patch (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 d c) a (neg.f64 b)) (patch (fma.f64 (/.f64 d c) a (neg.f64 b)) #<representation binary64>) () ()) |
#s(alt (/.f64 d c) (patch (/.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 (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) (patch (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) (patch #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 d) a) (patch (*.f64 (neg.f64 d) a) #<representation binary64>) () ()) |
#s(alt (neg.f64 d) (patch (neg.f64 d) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ()) |
#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ()) |
#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a))) (patch (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a)))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a)) (patch (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a)) #<representation binary64>) () ()) |
#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ()) |
#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ b c) (taylor 0 d) (#s(alt (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) (patch (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) (taylor 0 d) (#s(alt (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) (patch (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) (taylor 0 d) (#s(alt (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) (patch (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) (taylor 0 d) (#s(alt (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) (patch (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) (pow c 2))) (taylor inf d) (#s(alt (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) (patch (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) #<representation binary64>) () ())) ()) |
#s(alt (* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) (taylor inf d) (#s(alt (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) (patch (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) #<representation binary64>) () ())) ()) |
#s(alt (* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) (taylor inf d) (#s(alt (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) (patch (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) #<representation binary64>) () ())) ()) |
#s(alt (* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) (taylor inf d) (#s(alt (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) (patch (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) (pow c 2))) (taylor -inf d) (#s(alt (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) (patch (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) (taylor -inf d) (#s(alt (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) (patch (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) (taylor -inf d) (#s(alt (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) (patch (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) (taylor -inf d) (#s(alt (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) (patch (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) (pow c 2))) (taylor 0 c) (#s(alt (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) (patch (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) (taylor 0 c) (#s(alt (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) (patch (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) #<representation binary64>) () ())) ()) |
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#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 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) 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 b) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a)))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a)))) #<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(literal -1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a)))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a)))) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor 0 d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a)))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a)))) #<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 #s(literal -1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a)))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a)))) #<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(literal -1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a)))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a)))) #<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(literal -1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a)))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a)))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a)))) #<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(literal -1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a)))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a)))) #<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(literal -1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a)))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a)))) #<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(literal -1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a)))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a)))) #<representation binary64>) () ())) ()) |
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#s(alt (pow c 2) (taylor inf c) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor inf d) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor inf d) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor inf d) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (pow d 2) (taylor -inf d) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 b) (taylor 0 b) (#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 b) (taylor 0 b) (#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 b) (taylor 0 b) (#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 b) (taylor 0 b) (#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 b) (taylor inf b) (#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 b) (taylor inf b) (#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 b) (taylor inf b) (#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 b) (taylor inf b) (#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 b) (taylor -inf b) (#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 b) (taylor -inf b) (#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 b) (taylor -inf b) (#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 b) (taylor -inf b) (#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ())) ()) |
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#s(alt (pow c 2) (taylor -inf c) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())) ()) |
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#s(alt (pow c 2) (taylor 0 d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())) ()) |
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#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor inf d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())) ()) |
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#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (pow c 2) (taylor inf c) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor inf c) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (pow c 2) (taylor -inf c) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
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#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor -inf c) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor -inf c) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (pow c 2) (taylor 0 d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (pow d 2) (taylor inf d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor inf d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor inf d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor inf d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (pow d 2) (taylor -inf d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
183 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | b | @ | -inf | (+ (* (/ d c) a) (neg b)) |
| 1.0ms | d | @ | 0 | (* (+ (* (/ d c) a) (neg b)) (/ -1 c)) |
| 0.0ms | a | @ | 0 | (/ (neg a) d) |
| 0.0ms | a | @ | inf | (* (+ (* (/ d c) a) (neg b)) (/ -1 c)) |
| 0.0ms | b | @ | 0 | (* (+ (* (/ d c) a) (neg b)) (/ -1 c)) |
| 1× | egg-herbie |
| 5 688× | lower-fma.f64 |
| 5 688× | lower-fma.f32 |
| 2 557× | lower-*.f64 |
| 2 557× | lower-*.f32 |
| 1 328× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 352 | 8428 |
| 1 | 1121 | 8061 |
| 2 | 3505 | 7874 |
| 0 | 8386 | 7480 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 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)) |
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(* -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) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* a (pow c 2)) (pow d 3))) |
(+ (* -1 (/ a d)) (* (pow c 2) (+ (* -1 (/ (* a (pow c 2)) (pow d 5))) (/ a (pow d 3))))) |
(+ (* -1 (/ a d)) (* (pow c 2) (+ (* (pow c 2) (+ (* -1 (/ a (pow d 5))) (/ (* a (pow c 2)) (pow d 7)))) (/ a (pow d 3))))) |
(* -1 (/ (* a d) (pow c 2))) |
(/ (+ (* -1 (* a d)) (/ (* a (pow d 3)) (pow c 2))) (pow c 2)) |
(/ (+ (* -1 (* a d)) (+ (* -1 (/ (* a (pow d 5)) (pow c 4))) (/ (* a (pow d 3)) (pow c 2)))) (pow c 2)) |
(/ (+ (* -1 (* a d)) (+ (* -1 (/ (* a (pow d 5)) (pow c 4))) (+ (/ (* a (pow d 3)) (pow c 2)) (/ (* a (pow d 7)) (pow c 6))))) (pow c 2)) |
(* -1 (/ (* a d) (pow c 2))) |
(/ (+ (* -1 (* a d)) (/ (* a (pow d 3)) (pow c 2))) (pow c 2)) |
(/ (+ (* -1 (* a d)) (+ (* -1 (/ (* a (pow d 5)) (pow c 4))) (/ (* a (pow d 3)) (pow c 2)))) (pow c 2)) |
(/ (+ (* -1 (* a d)) (+ (* -1 (/ (* a (pow d 5)) (pow c 4))) (+ (/ (* a (pow d 3)) (pow c 2)) (/ (* a (pow d 7)) (pow c 6))))) (pow c 2)) |
(* -1 (/ (* a d) (pow c 2))) |
(* d (+ (* -1 (/ a (pow c 2))) (/ (* a (pow d 2)) (pow c 4)))) |
(* d (+ (* -1 (/ a (pow c 2))) (* (pow d 2) (+ (* -1 (/ (* a (pow d 2)) (pow c 6))) (/ a (pow c 4)))))) |
(* d (+ (* -1 (/ a (pow c 2))) (* (pow d 2) (+ (* (pow d 2) (+ (* -1 (/ a (pow c 6))) (/ (* a (pow d 2)) (pow c 8)))) (/ a (pow c 4)))))) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* a (pow c 2)) (pow d 2))) d) |
(/ (+ (* -1 a) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2)))) d) |
(/ (+ (* -1 a) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* a (pow c 6)) (pow d 6))))) d) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* a (pow c 2)) (pow d 2)))) d)) |
(* -1 (/ (- (+ a (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2))) d)) |
(* -1 (/ (- (+ a (* -1 (/ (* a (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2)))) d)) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(/ (* 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)) |
(/ d a) |
(+ (/ d a) (/ (pow c 2) (* a d))) |
(+ (/ d a) (/ (pow c 2) (* a d))) |
(+ (/ d a) (/ (pow c 2) (* a d))) |
(/ (pow c 2) (* a d)) |
(* (pow c 2) (+ (/ 1 (* a d)) (/ d (* a (pow c 2))))) |
(* (pow c 2) (+ (/ 1 (* a d)) (/ d (* a (pow c 2))))) |
(* (pow c 2) (+ (/ 1 (* a d)) (/ d (* a (pow c 2))))) |
(/ (pow c 2) (* a d)) |
(* (pow c 2) (+ (/ 1 (* a d)) (/ d (* a (pow c 2))))) |
(* (pow c 2) (+ (/ 1 (* a d)) (/ d (* a (pow c 2))))) |
(* (pow c 2) (+ (/ 1 (* a d)) (/ d (* a (pow c 2))))) |
(/ (pow c 2) (* a d)) |
(/ (+ (/ (pow c 2) a) (/ (pow d 2) a)) d) |
(/ (+ (/ (pow c 2) a) (/ (pow d 2) a)) d) |
(/ (+ (/ (pow c 2) a) (/ (pow d 2) a)) d) |
(/ d a) |
(* d (+ (/ 1 a) (/ (pow c 2) (* a (pow d 2))))) |
(* d (+ (/ 1 a) (/ (pow c 2) (* a (pow d 2))))) |
(* d (+ (/ 1 a) (/ (pow c 2) (* a (pow d 2))))) |
(/ d a) |
(* -1 (* d (- (* -1 (/ (pow c 2) (* a (pow d 2)))) (/ 1 a)))) |
(* -1 (* d (- (* -1 (/ (pow c 2) (* a (pow d 2)))) (/ 1 a)))) |
(* -1 (* d (- (* -1 (/ (pow c 2) (* a (pow d 2)))) (/ 1 a)))) |
(/ (+ (pow c 2) (pow d 2)) (* a d)) |
(/ (+ (pow c 2) (pow d 2)) (* a d)) |
(/ (+ (pow c 2) (pow d 2)) (* a d)) |
(/ (+ (pow c 2) (pow d 2)) (* a d)) |
(/ (+ (pow c 2) (pow d 2)) (* a d)) |
(/ (+ (pow c 2) (pow d 2)) (* a d)) |
(/ (+ (pow c 2) (pow d 2)) (* a d)) |
(/ (+ (pow c 2) (pow d 2)) (* a d)) |
(/ (+ (pow c 2) (pow d 2)) (* a d)) |
(/ (+ (pow c 2) (pow d 2)) (* a d)) |
(/ (+ (pow c 2) (pow d 2)) (* a d)) |
(/ (+ (pow c 2) (pow d 2)) (* a d)) |
(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 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(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)))) |
(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)))) |
| Outputs |
|---|
(/ b c) |
(/.f64 b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c) |
(* -1 (/ (* a d) (pow c 2))) |
(*.f64 (neg.f64 d) (/.f64 a (*.f64 c c))) |
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(*.f64 (-.f64 (/.f64 b (*.f64 d c)) (/.f64 a (*.f64 c c))) d) |
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(*.f64 (-.f64 (/.f64 b (*.f64 d c)) (/.f64 a (*.f64 c c))) d) |
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(*.f64 (-.f64 (/.f64 b (*.f64 d c)) (/.f64 a (*.f64 c c))) d) |
(* -1 (/ (* a d) (pow c 2))) |
(*.f64 (neg.f64 d) (/.f64 a (*.f64 c c))) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(*.f64 (-.f64 (/.f64 b (*.f64 d c)) (/.f64 a (*.f64 c c))) d) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(*.f64 (-.f64 (/.f64 b (*.f64 d c)) (/.f64 a (*.f64 c c))) d) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(*.f64 (-.f64 (/.f64 b (*.f64 d c)) (/.f64 a (*.f64 c c))) d) |
(* -1 (/ (* a d) (pow c 2))) |
(*.f64 (neg.f64 d) (/.f64 a (*.f64 c c))) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 c b)) (*.f64 c c)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 c b)) (*.f64 c c)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 c b)) (*.f64 c c)) |
(/ b c) |
(/.f64 b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c) |
(/ b c) |
(/.f64 b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c) |
(/ b c) |
(/.f64 b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c) |
(* -1 (/ (* a d) (pow c 2))) |
(*.f64 (neg.f64 d) (/.f64 a (*.f64 c c))) |
(* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c)))) |
(*.f64 (-.f64 (/.f64 b (*.f64 a c)) (/.f64 d (*.f64 c c))) a) |
(* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c)))) |
(*.f64 (-.f64 (/.f64 b (*.f64 a c)) (/.f64 d (*.f64 c c))) a) |
(* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c)))) |
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(/.f64 (fma.f64 a (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64)) (*.f64 (/.f64 c d) b)) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(/.f64 (fma.f64 (/.f64 b d) (-.f64 c (/.f64 (*.f64 (*.f64 c c) c) (*.f64 d d))) (*.f64 a (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64)))) d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 c (/.f64 c d)) a (*.f64 c b)) d) a) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 c b (/.f64 (fma.f64 (*.f64 a c) c (/.f64 (*.f64 (neg.f64 c) (*.f64 (*.f64 c b) c)) d)) d)) d) a) d) |
(/ d a) |
(/.f64 d a) |
(+ (/ d a) (/ (pow c 2) (* a d))) |
(fma.f64 c (/.f64 c (*.f64 d a)) (/.f64 d a)) |
(+ (/ d a) (/ (pow c 2) (* a d))) |
(fma.f64 c (/.f64 c (*.f64 d a)) (/.f64 d a)) |
(+ (/ d a) (/ (pow c 2) (* a d))) |
(fma.f64 c (/.f64 c (*.f64 d a)) (/.f64 d a)) |
(/ (pow c 2) (* a d)) |
(*.f64 c (/.f64 c (*.f64 d a))) |
(* (pow c 2) (+ (/ 1 (* a d)) (/ d (* a (pow c 2))))) |
(*.f64 c (fma.f64 c (/.f64 d (*.f64 (*.f64 a c) c)) (/.f64 c (*.f64 d a)))) |
(* (pow c 2) (+ (/ 1 (* a d)) (/ d (* a (pow c 2))))) |
(*.f64 c (fma.f64 c (/.f64 d (*.f64 (*.f64 a c) c)) (/.f64 c (*.f64 d a)))) |
(* (pow c 2) (+ (/ 1 (* a d)) (/ d (* a (pow c 2))))) |
(*.f64 c (fma.f64 c (/.f64 d (*.f64 (*.f64 a c) c)) (/.f64 c (*.f64 d a)))) |
(/ (pow c 2) (* a d)) |
(*.f64 c (/.f64 c (*.f64 d a))) |
(* (pow c 2) (+ (/ 1 (* a d)) (/ d (* a (pow c 2))))) |
(*.f64 c (fma.f64 c (/.f64 d (*.f64 (*.f64 a c) c)) (/.f64 c (*.f64 d a)))) |
(* (pow c 2) (+ (/ 1 (* a d)) (/ d (* a (pow c 2))))) |
(*.f64 c (fma.f64 c (/.f64 d (*.f64 (*.f64 a c) c)) (/.f64 c (*.f64 d a)))) |
(* (pow c 2) (+ (/ 1 (* a d)) (/ d (* a (pow c 2))))) |
(*.f64 c (fma.f64 c (/.f64 d (*.f64 (*.f64 a c) c)) (/.f64 c (*.f64 d a)))) |
(/ (pow c 2) (* a d)) |
(*.f64 c (/.f64 c (*.f64 d a))) |
(/ (+ (/ (pow c 2) a) (/ (pow d 2) a)) d) |
(/.f64 (fma.f64 d (/.f64 d a) (/.f64 (*.f64 c c) a)) d) |
(/ (+ (/ (pow c 2) a) (/ (pow d 2) a)) d) |
(/.f64 (fma.f64 d (/.f64 d a) (/.f64 (*.f64 c c) a)) d) |
(/ (+ (/ (pow c 2) a) (/ (pow d 2) a)) d) |
(/.f64 (fma.f64 d (/.f64 d a) (/.f64 (*.f64 c c) a)) d) |
(/ d a) |
(/.f64 d a) |
(* d (+ (/ 1 a) (/ (pow c 2) (* a (pow d 2))))) |
(*.f64 (fma.f64 c (/.f64 c (*.f64 (*.f64 d d) a)) (/.f64 #s(literal 1 binary64) a)) d) |
(* d (+ (/ 1 a) (/ (pow c 2) (* a (pow d 2))))) |
(*.f64 (fma.f64 c (/.f64 c (*.f64 (*.f64 d d) a)) (/.f64 #s(literal 1 binary64) a)) d) |
(* d (+ (/ 1 a) (/ (pow c 2) (* a (pow d 2))))) |
(*.f64 (fma.f64 c (/.f64 c (*.f64 (*.f64 d d) a)) (/.f64 #s(literal 1 binary64) a)) d) |
(/ d a) |
(/.f64 d a) |
(* -1 (* d (- (* -1 (/ (pow c 2) (* a (pow d 2)))) (/ 1 a)))) |
(*.f64 (fma.f64 c (/.f64 c (*.f64 (*.f64 d d) a)) (/.f64 #s(literal 1 binary64) a)) d) |
(* -1 (* d (- (* -1 (/ (pow c 2) (* a (pow d 2)))) (/ 1 a)))) |
(*.f64 (fma.f64 c (/.f64 c (*.f64 (*.f64 d d) a)) (/.f64 #s(literal 1 binary64) a)) d) |
(* -1 (* d (- (* -1 (/ (pow c 2) (* a (pow d 2)))) (/ 1 a)))) |
(*.f64 (fma.f64 c (/.f64 c (*.f64 (*.f64 d d) a)) (/.f64 #s(literal 1 binary64) a)) d) |
(/ (+ (pow c 2) (pow d 2)) (* a d)) |
(/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 d a)) |
(/ (+ (pow c 2) (pow d 2)) (* a d)) |
(/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 d a)) |
(/ (+ (pow c 2) (pow d 2)) (* a d)) |
(/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 d a)) |
(/ (+ (pow c 2) (pow d 2)) (* a d)) |
(/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 d a)) |
(/ (+ (pow c 2) (pow d 2)) (* a d)) |
(/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 d a)) |
(/ (+ (pow c 2) (pow d 2)) (* a d)) |
(/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 d a)) |
(/ (+ (pow c 2) (pow d 2)) (* a d)) |
(/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 d a)) |
(/ (+ (pow c 2) (pow d 2)) (* a d)) |
(/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 d a)) |
(/ (+ (pow c 2) (pow d 2)) (* a d)) |
(/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 d a)) |
(/ (+ (pow c 2) (pow d 2)) (* a d)) |
(/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 d a)) |
(/ (+ (pow c 2) (pow d 2)) (* a d)) |
(/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 d a)) |
(/ (+ (pow c 2) (pow d 2)) (* a d)) |
(/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 d a)) |
(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 (*.f64 d (/.f64 d (*.f64 c c))) c c)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 c (fma.f64 (*.f64 d (/.f64 d (*.f64 c c))) c c)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 c (fma.f64 (*.f64 d (/.f64 d (*.f64 c c))) c c)) |
(pow c 2) |
(*.f64 c c) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 c (fma.f64 (*.f64 d (/.f64 d (*.f64 c c))) c c)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 c (fma.f64 (*.f64 d (/.f64 d (*.f64 c c))) c c)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 c (fma.f64 (*.f64 d (/.f64 d (*.f64 c c))) 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)))) |
(*.f64 d (fma.f64 (/.f64 (*.f64 c c) (*.f64 d d)) d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 d (fma.f64 (/.f64 (*.f64 c c) (*.f64 d d)) d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 d (fma.f64 (/.f64 (*.f64 c c) (*.f64 d d)) d d)) |
(pow d 2) |
(*.f64 d d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 d (fma.f64 (/.f64 (*.f64 c c) (*.f64 d d)) d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 d (fma.f64 (/.f64 (*.f64 c c) (*.f64 d d)) d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 d (fma.f64 (/.f64 (*.f64 c c) (*.f64 d d)) d d)) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(* -1 b) |
(neg.f64 b) |
(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 (*.f64 d (/.f64 d (*.f64 c c))) c c)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 c (fma.f64 (*.f64 d (/.f64 d (*.f64 c c))) c c)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 c (fma.f64 (*.f64 d (/.f64 d (*.f64 c c))) c c)) |
(pow c 2) |
(*.f64 c c) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 c (fma.f64 (*.f64 d (/.f64 d (*.f64 c c))) c c)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 c (fma.f64 (*.f64 d (/.f64 d (*.f64 c c))) c c)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 c (fma.f64 (*.f64 d (/.f64 d (*.f64 c c))) 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)))) |
(*.f64 d (fma.f64 (/.f64 (*.f64 c c) (*.f64 d d)) d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 d (fma.f64 (/.f64 (*.f64 c c) (*.f64 d d)) d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 d (fma.f64 (/.f64 (*.f64 c c) (*.f64 d d)) d d)) |
(pow d 2) |
(*.f64 d d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 d (fma.f64 (/.f64 (*.f64 c c) (*.f64 d d)) d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 d (fma.f64 (/.f64 (*.f64 c c) (*.f64 d d)) d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 d (fma.f64 (/.f64 (*.f64 c c) (*.f64 d d)) d d)) |
(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 (*.f64 d (/.f64 d (*.f64 c c))) c c)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 c (fma.f64 (*.f64 d (/.f64 d (*.f64 c c))) c c)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 c (fma.f64 (*.f64 d (/.f64 d (*.f64 c c))) c c)) |
(pow c 2) |
(*.f64 c c) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 c (fma.f64 (*.f64 d (/.f64 d (*.f64 c c))) c c)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 c (fma.f64 (*.f64 d (/.f64 d (*.f64 c c))) c c)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 c (fma.f64 (*.f64 d (/.f64 d (*.f64 c c))) 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)))) |
(*.f64 d (fma.f64 (/.f64 (*.f64 c c) (*.f64 d d)) d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 d (fma.f64 (/.f64 (*.f64 c c) (*.f64 d d)) d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 d (fma.f64 (/.f64 (*.f64 c c) (*.f64 d d)) d d)) |
(pow d 2) |
(*.f64 d d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 d (fma.f64 (/.f64 (*.f64 c c) (*.f64 d d)) d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 d (fma.f64 (/.f64 (*.f64 c c) (*.f64 d d)) d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 d (fma.f64 (/.f64 (*.f64 c c) (*.f64 d d)) d d)) |
| 3 870× | lower-fma.f32 |
| 3 868× | lower-fma.f64 |
| 2 768× | lower-*.f32 |
| 2 761× | lower-*.f64 |
| 1 887× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 221 |
| 0 | 59 | 221 |
| 1 | 190 | 217 |
| 2 | 1201 | 215 |
| 0 | 8909 | 215 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c))) |
(fma.f64 (/.f64 d c) a (neg.f64 b)) |
(/.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) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) |
(*.f64 (neg.f64 d) a) |
(neg.f64 d) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(-.f64 (*.f64 b c) (*.f64 a d)) |
(*.f64 b c) |
(*.f64 a d) |
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a)))) |
(/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a)) |
(fma.f64 c c (*.f64 d d)) |
(neg.f64 b) |
#s(approx (+ (* c c) (* d d)) (*.f64 d d)) |
#s(approx (+ (* c c) (* d d)) (*.f64 c c)) |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 b (/.f64 (*.f64 a d) c)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) c)) |
(*.f64 (*.f64 (-.f64 (/.f64 (*.f64 a d) c) b) (/.f64 #s(literal 1 binary64) c)) #s(literal -1 binary64)) |
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 a d) c) b) c) #s(literal -1 binary64)) |
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 a d) c) b) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) c)) |
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) d) d) (*.f64 c c)) (*.f64 b b)) c) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 a c) d b)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 b) b) b (*.f64 (*.f64 (*.f64 a a) a) (/.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 c c) c)))) c) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (+.f64 b (/.f64 (*.f64 a d) c)) (/.f64 (*.f64 (*.f64 (*.f64 a a) d) d) (*.f64 c c)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) d) d) (*.f64 c c)) (*.f64 b b)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 a c) d b)) c)) |
(*.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 b) b) b (*.f64 (*.f64 (*.f64 a a) a) (/.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 c c) c)))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (+.f64 b (/.f64 (*.f64 a d) c)) (/.f64 (*.f64 (*.f64 (*.f64 a a) d) d) (*.f64 c c)))) c)) |
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) d) d) (*.f64 c c)) (*.f64 b b)) (neg.f64 c)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 a c) d b))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 b) b) b (*.f64 (*.f64 (*.f64 a a) a) (/.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 c c) c)))) (neg.f64 c)) (/.f64 #s(literal 1 binary64) (fma.f64 b (+.f64 b (/.f64 (*.f64 a d) c)) (/.f64 (*.f64 (*.f64 (*.f64 a a) d) d) (*.f64 c c))))) |
(*.f64 (*.f64 (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) (fma.f64 (/.f64 a c) d b)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 a c) d b))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) c) (fma.f64 (*.f64 (neg.f64 b) b) b (*.f64 (*.f64 (*.f64 a a) a) (/.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 c c) c))))) (/.f64 #s(literal 1 binary64) (fma.f64 b (+.f64 b (/.f64 (*.f64 a d) c)) (/.f64 (*.f64 (*.f64 (*.f64 a a) d) d) (*.f64 c c))))) |
(*.f64 (*.f64 (-.f64 b (/.f64 (*.f64 a d) c)) (fma.f64 (/.f64 a c) d b)) (/.f64 #s(literal 1 binary64) (*.f64 c (fma.f64 (/.f64 a c) d b)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 (neg.f64 b) b) b (*.f64 (*.f64 (*.f64 a a) a) (/.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 c c) c))))) (/.f64 #s(literal 1 binary64) (*.f64 c (fma.f64 b (+.f64 b (/.f64 (*.f64 a d) c)) (/.f64 (*.f64 (*.f64 (*.f64 a a) d) d) (*.f64 c c)))))) |
(*.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) d) d) (*.f64 c c)) (*.f64 b b)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 a c) d b) c))) |
(*.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 b) b) b (*.f64 (*.f64 (*.f64 a a) a) (/.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 c c) c)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (+.f64 b (/.f64 (*.f64 a d) c)) (/.f64 (*.f64 (*.f64 (*.f64 a a) d) d) (*.f64 c c))) c))) |
(*.f64 (-.f64 b (/.f64 (*.f64 a d) c)) (/.f64 #s(literal 1 binary64) c)) |
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 a a) d) d) (*.f64 c c)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) (fma.f64 (/.f64 a c) d b)))) |
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(fma.f64 (/.f64 (*.f64 c c) (+.f64 c d)) (/.f64 (*.f64 c c) (-.f64 c d)) (neg.f64 (/.f64 (*.f64 (*.f64 d d) (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d))))) |
(fma.f64 (/.f64 c (+.f64 c d)) (/.f64 (*.f64 (*.f64 c c) c) (-.f64 c d)) (neg.f64 (/.f64 (*.f64 (*.f64 d 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 (*.f64 c c) (*.f64 c c)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 c d) (-.f64 c d))) (neg.f64 (/.f64 (*.f64 (*.f64 d d) (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d))))) |
(fma.f64 c c (*.f64 d d)) |
(fma.f64 d d (*.f64 c 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 (*.f64 d d) (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 d d) (*.f64 d d)) (*.f64 (+.f64 d c) (-.f64 d c))) (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (+.f64 d c) (-.f64 d c)))) |
(-.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d))) (/.f64 (*.f64 (*.f64 d d) (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 c c (*.f64 d d)))) |
(+.f64 (neg.f64 (*.f64 (neg.f64 c) c)) (neg.f64 (*.f64 (neg.f64 d) d))) |
(+.f64 (neg.f64 (*.f64 (neg.f64 d) d)) (neg.f64 (*.f64 (neg.f64 c) c))) |
(+.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d))) (neg.f64 (/.f64 (*.f64 (*.f64 d d) (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d))))) |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(+.f64 (*.f64 d d) (*.f64 c c)) |
(*.f64 (*.f64 (neg.f64 b) b) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 (*.f64 (*.f64 (neg.f64 b) b) b) (/.f64 #s(literal 1 binary64) (fma.f64 b b #s(literal 0 binary64)))) |
(*.f64 #s(literal -1 binary64) b) |
(*.f64 b #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 b) b) b)) (neg.f64 (fma.f64 b b #s(literal 0 binary64)))) |
(/.f64 (*.f64 (neg.f64 b) b) b) |
(/.f64 (*.f64 b b) (neg.f64 b)) |
(/.f64 (*.f64 (*.f64 (neg.f64 b) b) b) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 b b) (*.f64 #s(literal 0 binary64) (neg.f64 b))))) |
(/.f64 (*.f64 (*.f64 (neg.f64 b) b) b) (fma.f64 b b #s(literal 0 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 (neg.f64 b) b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b b #s(literal 0 binary64)) (*.f64 (*.f64 (neg.f64 b) b) b))) |
(neg.f64 b) |
(-.f64 (/.f64 #s(literal 0 binary64) b) b) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 b b #s(literal 0 binary64))) (/.f64 (*.f64 (*.f64 b b) b) (fma.f64 b b #s(literal 0 binary64)))) |
(-.f64 #s(literal 0 binary64) b) |
(+.f64 #s(literal 0 binary64) (neg.f64 b)) |
(*.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) |
#s(approx (+ (* c c) (* d d)) (*.f64 d d)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) |
(/.f64 (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d))) #s(literal -1 binary64)) |
(/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #s(literal 1 binary64)) |
(neg.f64 (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) |
(*.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)))) |
#s(approx (+ (* c c) (* d d)) (*.f64 c c)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))) |
(/.f64 (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #s(literal -1 binary64)) |
(/.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #s(literal 1 binary64)) |
(neg.f64 (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 c c)))) |
Compiled 30 500 to 2 302 computations (92.5% saved)
28 alts after pruning (22 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 481 | 11 | 1 492 |
| Fresh | 5 | 11 | 16 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 488 | 28 | 1 516 |
| 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 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 a d))) (*.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 b c)) #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 b c)) (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 a d)))) | |
| 36.0% | (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (fma.f64 d d (*.f64 c c)))) | |
| 19.4% | (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| 16.6% | (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| 29.1% | (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| 48.9% | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b c)) (*.f64 a (/.f64 a (*.f64 (*.f64 (*.f64 b b) c) b)))) d (/.f64 a (*.f64 b b))) d (/.f64 c b)))) | |
| ▶ | 46.9% | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b))) |
| ✓ | 59.4% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) |
| 48.7% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) | |
| 48.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) | |
| ▶ | 58.7% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)) |
| 15.1% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (/.f64 (neg.f64 (*.f64 (*.f64 a a) a)) (fma.f64 a a #s(literal 0 binary64))) d)) | |
| 57.8% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) | |
| ✓ | 39.6% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
| 53.5% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ (neg d) c) a) b) (*.f64 (fma.f64 d (/.f64 a (*.f64 b c)) #s(literal -1 binary64)) (neg.f64 b))) c)) | |
| ▶ | 22.5% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ (neg d) c) a) b) (*.f64 (/.f64 (neg.f64 a) c) d)) c)) |
| ✓ | 47.2% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
| ✓ | 36.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a)))) |
| 39.5% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 d a))) | |
| 53.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) #s(approx (/ (+ (* c c) (* d d)) (* d a)) (fma.f64 c (/.f64 c (*.f64 d a)) (/.f64 d a))))) | |
| 41.2% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)) | |
| 38.2% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) | |
| 47.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b)) | |
| 19.4% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) | |
| ▶ | 22.5% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) (/.f64 #s(literal -1 binary64) c))) |
| ▶ | 39.5% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 #s(literal -1 binary64) d))) |
Compiled 820 to 447 computations (45.5% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (/.f64 d c) a) | |
| cost-diff | 0 | #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) (/.f64 #s(literal -1 binary64) c))) | |
| cost-diff | 192 | (*.f64 #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) (/.f64 #s(literal -1 binary64) c)) | |
| cost-diff | 0 | (*.f64 (/.f64 (neg.f64 a) c) d) | |
| cost-diff | 0 | #s(approx (+ (* (/ (neg d) c) a) b) (*.f64 (/.f64 (neg.f64 a) c) d)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* (/ (neg d) c) a) b) (*.f64 (/.f64 (neg.f64 a) c) d)) c) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ (neg d) c) a) b) (*.f64 (/.f64 (neg.f64 a) c) d)) c)) | |
| cost-diff | 0 | (/.f64 c b) | |
| cost-diff | 0 | #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b))) | |
| cost-diff | 0 | (/.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 | (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) | |
| cost-diff | 0 | (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) c) a) |
| 948× | lower-fma.f32 |
| 947× | lower-fma.f64 |
| 676× | lower-*.f32 |
| 671× | lower-*.f64 |
| 616× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 303 |
| 0 | 67 | 298 |
| 1 | 117 | 285 |
| 2 | 191 | 283 |
| 3 | 363 | 283 |
| 4 | 633 | 283 |
| 5 | 1150 | 283 |
| 6 | 1823 | 283 |
| 7 | 2648 | 283 |
| 8 | 3249 | 283 |
| 9 | 3705 | 283 |
| 10 | 4172 | 283 |
| 11 | 4298 | 283 |
| 12 | 4400 | 283 |
| 13 | 4541 | 283 |
| 14 | 4625 | 283 |
| 15 | 4641 | 283 |
| 16 | 4761 | 283 |
| 17 | 4809 | 283 |
| 18 | 4809 | 283 |
| 0 | 4809 | 277 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)) |
(/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c) |
(fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) |
(neg.f64 d) |
d |
(*.f64 (/.f64 #s(literal 1 binary64) c) a) |
(/.f64 #s(literal 1 binary64) c) |
#s(literal 1 binary64) |
c |
a |
b |
#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 |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b))) |
#s(literal 1 binary64) |
#s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b)) |
(/.f64 c b) |
c |
b |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ (neg d) c) a) b) (*.f64 (/.f64 (neg.f64 a) c) d)) c)) |
(/.f64 #s(approx (+ (* (/ (neg d) c) a) b) (*.f64 (/.f64 (neg.f64 a) c) d)) c) |
#s(approx (+ (* (/ (neg d) c) a) b) (*.f64 (/.f64 (neg.f64 a) c) d)) |
(*.f64 (/.f64 (neg.f64 a) c) d) |
(/.f64 (neg.f64 a) c) |
(neg.f64 a) |
a |
c |
d |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) (/.f64 #s(literal -1 binary64) c))) |
(*.f64 #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) (/.f64 #s(literal -1 binary64) c)) |
#s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) |
(*.f64 (/.f64 d c) a) |
(/.f64 d c) |
d |
c |
a |
(/.f64 #s(literal -1 binary64) c) |
#s(literal -1 binary64) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d (neg.f64 c)) a b) c)) |
(/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c) |
(/.f64 (fma.f64 (/.f64 d (neg.f64 c)) a b) c) |
(fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) |
(fma.f64 (/.f64 d (neg.f64 c)) a b) |
(neg.f64 d) |
d |
(*.f64 (/.f64 #s(literal 1 binary64) c) a) |
(/.f64 a c) |
(/.f64 #s(literal 1 binary64) c) |
#s(literal 1 binary64) |
c |
a |
b |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 #s(literal -1 binary64) d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
(*.f64 a (/.f64 #s(literal -1 binary64) d)) |
(/.f64 (neg.f64 a) d) |
a |
(/.f64 #s(literal -1 binary64) d) |
#s(literal -1 binary64) |
d |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b))) |
#s(literal 1 binary64) |
#s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b)) |
(/.f64 c b) |
c |
b |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ (neg d) c) a) b) (*.f64 (/.f64 (neg.f64 a) c) d)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ (neg d) c) a) b) (*.f64 (/.f64 d (neg.f64 c)) a)) c)) |
(/.f64 #s(approx (+ (* (/ (neg d) c) a) b) (*.f64 (/.f64 (neg.f64 a) c) d)) c) |
(/.f64 #s(approx (+ (* (/ (neg d) c) a) b) (*.f64 (/.f64 d (neg.f64 c)) a)) c) |
#s(approx (+ (* (/ (neg d) c) a) b) (*.f64 (/.f64 (neg.f64 a) c) d)) |
#s(approx (+ (* (/ (neg d) c) a) b) (*.f64 (/.f64 d (neg.f64 c)) a)) |
(*.f64 (/.f64 (neg.f64 a) c) d) |
(*.f64 (/.f64 d (neg.f64 c)) a) |
(/.f64 (neg.f64 a) c) |
(/.f64 a (neg.f64 c)) |
(neg.f64 a) |
a |
c |
d |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) (/.f64 #s(literal -1 binary64) c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 a c) d)) (neg.f64 c))) |
(*.f64 #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) (/.f64 #s(literal -1 binary64) c)) |
(/.f64 #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 a c) d)) (neg.f64 c)) |
#s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) |
#s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 a c) d)) |
(*.f64 (/.f64 d c) a) |
(*.f64 (/.f64 a c) d) |
(/.f64 d c) |
d |
c |
a |
(/.f64 #s(literal -1 binary64) c) |
#s(literal -1 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.3349988443871337 | (*.f64 #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) (/.f64 #s(literal -1 binary64) c)) | |
| accuracy | 5.1264163839977135 | (*.f64 (/.f64 d c) a) | |
| accuracy | 25.959686725449508 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) (/.f64 #s(literal -1 binary64) c))) | |
| accuracy | 33.87759472343926 | #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) | |
| accuracy | 1.1748425943871337 | (/.f64 #s(approx (+ (* (/ (neg d) c) a) b) (*.f64 (/.f64 (neg.f64 a) c) d)) c) | |
| accuracy | 2.828104322647386 | (*.f64 (/.f64 (neg.f64 a) c) d) | |
| accuracy | 25.959686725449508 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ (neg d) c) a) b) (*.f64 (/.f64 (neg.f64 a) c) d)) c)) | |
| accuracy | 33.87759472343926 | #s(approx (+ (* (/ (neg d) c) a) b) (*.f64 (/.f64 (neg.f64 a) c) d)) | |
| accuracy | 0 | (/.f64 c b) | |
| accuracy | 0.41473518274153814 | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b))) | |
| accuracy | 33.666954494330916 | #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b)) | |
| 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 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c) | |
| accuracy | 1.6979412706229862 | (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) | |
| accuracy | 25.959686725449508 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)) |
| 65.0ms | 256× | 0 | valid |
Compiled 218 to 42 computations (80.7% saved)
ival-div: 19.0ms (40.2% of total)ival-mult: 18.0ms (38.1% of total)ival-add: 6.0ms (12.7% of total)ival-neg: 3.0ms (6.3% of total)ival-sub: 1.0ms (2.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.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 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c) (patch (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) (patch (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) #<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 (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b)) (patch #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b)) #<representation binary64>) () ()) |
#s(alt (/.f64 c b) (patch (/.f64 c b) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ (neg d) c) a) b) (*.f64 (/.f64 (neg.f64 a) c) d)) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ (neg d) c) a) b) (*.f64 (/.f64 (neg.f64 a) c) d)) c)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (+ (* (/ (neg d) c) a) b) (*.f64 (/.f64 (neg.f64 a) c) d)) c) (patch (/.f64 #s(approx (+ (* (/ (neg d) c) a) b) (*.f64 (/.f64 (neg.f64 a) c) d)) c) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (/ (neg d) c) a) b) (*.f64 (/.f64 (neg.f64 a) c) d)) (patch #s(approx (+ (* (/ (neg d) c) a) b) (*.f64 (/.f64 (neg.f64 a) c) d)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (neg.f64 a) c) d) (patch (*.f64 (/.f64 (neg.f64 a) c) d) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) (/.f64 #s(literal -1 binary64) c)) (patch (*.f64 #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) (/.f64 #s(literal -1 binary64) c)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) (/.f64 #s(literal -1 binary64) c))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) (/.f64 #s(literal -1 binary64) c))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) (patch #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 d c) a) (patch (*.f64 (/.f64 d c) a) #<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 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) 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 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) 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 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) 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 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) 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 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) 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 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) 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 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) 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 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) 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 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) 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 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) 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 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) 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 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor inf c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) 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 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) 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 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) 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 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor -inf c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1 b) (/ (* a d) c)) (taylor 0 b) (#s(alt #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) (patch #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 b) (/ (* a d) c)) (taylor 0 b) (#s(alt #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) (patch #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 b) (/ (* a d) c)) (taylor 0 b) (#s(alt #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) (patch #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 b) (taylor inf b) (#s(alt #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) (patch #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) #<representation binary64>) () ())) ()) |
#s(alt (* b (- (/ (* a d) (* b c)) 1)) (taylor inf b) (#s(alt #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) (patch #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) #<representation binary64>) () ())) ()) |
#s(alt (* b (- (/ (* a d) (* b c)) 1)) (taylor inf b) (#s(alt #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) (patch #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) #<representation binary64>) () ())) ()) |
#s(alt (* b (- (/ (* a d) (* b c)) 1)) (taylor inf b) (#s(alt #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) (patch #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 b) (taylor -inf b) (#s(alt #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) (patch #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ 1 (* -1 (/ (* a d) (* b c)))))) (taylor -inf b) (#s(alt #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) (patch #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ 1 (* -1 (/ (* a d) (* b c)))))) (taylor -inf b) (#s(alt #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) (patch #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ 1 (* -1 (/ (* a d) (* b c)))))) (taylor -inf b) (#s(alt #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) (patch #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor 0 d) (#s(alt (*.f64 (/.f64 d c) a) (patch (*.f64 (/.f64 d c) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor 0 d) (#s(alt (*.f64 (/.f64 d c) a) (patch (*.f64 (/.f64 d c) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor 0 d) (#s(alt (*.f64 (/.f64 d c) a) (patch (*.f64 (/.f64 d c) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor 0 d) (#s(alt (*.f64 (/.f64 d c) a) (patch (*.f64 (/.f64 d c) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor inf d) (#s(alt (*.f64 (/.f64 d c) a) (patch (*.f64 (/.f64 d c) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor inf d) (#s(alt (*.f64 (/.f64 d c) a) (patch (*.f64 (/.f64 d c) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor inf d) (#s(alt (*.f64 (/.f64 d c) a) (patch (*.f64 (/.f64 d c) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor inf d) (#s(alt (*.f64 (/.f64 d c) a) (patch (*.f64 (/.f64 d c) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor -inf d) (#s(alt (*.f64 (/.f64 d c) a) (patch (*.f64 (/.f64 d c) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor -inf d) (#s(alt (*.f64 (/.f64 d c) a) (patch (*.f64 (/.f64 d c) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor -inf d) (#s(alt (*.f64 (/.f64 d c) a) (patch (*.f64 (/.f64 d c) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor -inf d) (#s(alt (*.f64 (/.f64 d c) a) (patch (*.f64 (/.f64 d c) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor 0 c) (#s(alt (*.f64 (/.f64 d c) a) (patch (*.f64 (/.f64 d c) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor 0 c) (#s(alt (*.f64 (/.f64 d c) a) (patch (*.f64 (/.f64 d c) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor 0 c) (#s(alt (*.f64 (/.f64 d c) a) (patch (*.f64 (/.f64 d c) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor 0 c) (#s(alt (*.f64 (/.f64 d c) a) (patch (*.f64 (/.f64 d c) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor inf c) (#s(alt (*.f64 (/.f64 d c) a) (patch (*.f64 (/.f64 d c) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor inf c) (#s(alt (*.f64 (/.f64 d c) a) (patch (*.f64 (/.f64 d c) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor inf c) (#s(alt (*.f64 (/.f64 d c) a) (patch (*.f64 (/.f64 d c) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor inf c) (#s(alt (*.f64 (/.f64 d c) a) (patch (*.f64 (/.f64 d c) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor -inf c) (#s(alt (*.f64 (/.f64 d c) a) (patch (*.f64 (/.f64 d c) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor -inf c) (#s(alt (*.f64 (/.f64 d c) a) (patch (*.f64 (/.f64 d c) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor -inf c) (#s(alt (*.f64 (/.f64 d c) a) (patch (*.f64 (/.f64 d c) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor -inf c) (#s(alt (*.f64 (/.f64 d c) a) (patch (*.f64 (/.f64 d c) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor 0 a) (#s(alt (*.f64 (/.f64 d c) a) (patch (*.f64 (/.f64 d c) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor 0 a) (#s(alt (*.f64 (/.f64 d c) a) (patch (*.f64 (/.f64 d c) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor 0 a) (#s(alt (*.f64 (/.f64 d c) a) (patch (*.f64 (/.f64 d c) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor 0 a) (#s(alt (*.f64 (/.f64 d c) a) (patch (*.f64 (/.f64 d c) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor inf a) (#s(alt (*.f64 (/.f64 d c) a) (patch (*.f64 (/.f64 d c) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor inf a) (#s(alt (*.f64 (/.f64 d c) a) (patch (*.f64 (/.f64 d c) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor inf a) (#s(alt (*.f64 (/.f64 d c) a) (patch (*.f64 (/.f64 d c) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor inf a) (#s(alt (*.f64 (/.f64 d c) a) (patch (*.f64 (/.f64 d c) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor -inf a) (#s(alt (*.f64 (/.f64 d c) a) (patch (*.f64 (/.f64 d c) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor -inf a) (#s(alt (*.f64 (/.f64 d c) a) (patch (*.f64 (/.f64 d c) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor -inf a) (#s(alt (*.f64 (/.f64 d c) a) (patch (*.f64 (/.f64 d c) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor -inf a) (#s(alt (*.f64 (/.f64 d c) a) (patch (*.f64 (/.f64 d c) a) #<representation binary64>) () ())) ()) |
183 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | c | @ | 0 | (* (/ (neg a) c) d) |
| 0.0ms | c | @ | -inf | (/ c b) |
| 0.0ms | d | @ | 0 | (* (/ (neg a) c) d) |
| 0.0ms | c | @ | 0 | (/ c b) |
| 0.0ms | d | @ | 0 | (/ -1 d) |
| 1× | egg-herbie |
| 3 246× | lower-fma.f64 |
| 3 246× | lower-fma.f32 |
| 3 118× | lower-*.f64 |
| 3 118× | lower-*.f32 |
| 1 572× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 531 | 9751 |
| 1 | 1847 | 9317 |
| 2 | 7185 | 9230 |
| 0 | 8213 | 8826 |
| 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)) |
(/ 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)) |
(/ 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) (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 |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(* -1 (/ (* a d) c)) |
(* d (+ (* -1 (/ a c)) (/ b d))) |
(* d (+ (* -1 (/ a c)) (/ b d))) |
(* d (+ (* -1 (/ a c)) (/ b d))) |
(* -1 (/ (* a d) c)) |
(* -1 (* d (+ (* -1 (/ b d)) (/ a c)))) |
(* -1 (* d (+ (* -1 (/ b d)) (/ a c)))) |
(* -1 (* d (+ (* -1 (/ b d)) (/ a c)))) |
(* -1 (/ (* a d) c)) |
(/ (+ (* -1 (* a d)) (* b c)) c) |
(/ (+ (* -1 (* a d)) (* b c)) c) |
(/ (+ (* -1 (* a d)) (* b c)) 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))) |
b |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(* -1 (/ (* a d) c)) |
(* a (+ (* -1 (/ d c)) (/ b a))) |
(* a (+ (* -1 (/ d c)) (/ b a))) |
(* a (+ (* -1 (/ d c)) (/ b a))) |
(* -1 (/ (* a d) c)) |
(* -1 (* a (+ (* -1 (/ b a)) (/ d c)))) |
(* -1 (* a (+ (* -1 (/ b a)) (/ d c)))) |
(* -1 (* a (+ (* -1 (/ b a)) (/ d c)))) |
(* -1 (/ (* a d) c)) |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* 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))) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a 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)))) |
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(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
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(/ (+ (* -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 (/ (+ (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 (/ (+ (pow c 2) (pow d 2)) (* a d))) |
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(+ (* -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)) |
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(* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) c)) (* -1 (/ (- (/ (* (pow a 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (* b (pow c 3))) (* -1 (/ (* a (* d (+ (pow c 2) (pow d 2)))) (pow c 2)))) b))) b)) |
(* -1 (/ (+ (* -1 (/ (+ (pow c 2) (pow d 2)) c)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow a 3) (* (pow d 3) (+ (pow c 2) (pow d 2)))) (* b (pow c 4)))) (/ (* (pow a 2) (* (pow d 2) (+ (pow c 2) (pow d 2)))) (pow c 3))) b)) (* -1 (/ (* a (* d (+ (pow c 2) (pow d 2)))) (pow c 2)))) b))) b)) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ 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) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
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(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
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(* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c)))) |
(* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c)))) |
(* -1 (/ (* a d) (pow c 2))) |
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(* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c)))) |
b |
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(/ (+ (* -1 (* a d)) (* b c)) c) |
(/ (+ (* -1 (* a d)) (* b c)) c) |
(/ (+ (* -1 (* a d)) (* b c)) 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))) |
b |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(* -1 (/ (* a d) c)) |
(* a (+ (* -1 (/ d c)) (/ b a))) |
(* a (+ (* -1 (/ d c)) (/ b a))) |
(* a (+ (* -1 (/ d c)) (/ b a))) |
(* -1 (/ (* a d) c)) |
(* -1 (* a (+ (* -1 (/ b a)) (/ d c)))) |
(* -1 (* a (+ (* -1 (/ b a)) (/ d c)))) |
(* -1 (* a (+ (* -1 (/ b a)) (/ d c)))) |
(* -1 (/ (* a d) c)) |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* 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))) |
(* -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) |
(+ (* -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)) |
(/ 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) (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)))) |
(* -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) |
(- (/ (* a d) c) b) |
(- (/ (* a d) c) b) |
(- (/ (* a d) c) b) |
(/ (* a d) c) |
(* d (+ (* -1 (/ b d)) (/ a c))) |
(* d (+ (* -1 (/ b d)) (/ a c))) |
(* d (+ (* -1 (/ b d)) (/ a c))) |
(/ (* a d) c) |
(* -1 (* d (+ (* -1 (/ a c)) (/ b d)))) |
(* -1 (* d (+ (* -1 (/ a c)) (/ b d)))) |
(* -1 (* d (+ (* -1 (/ a c)) (/ b d)))) |
(/ (* a d) c) |
(/ (+ (* -1 (* b c)) (* a d)) c) |
(/ (+ (* -1 (* b c)) (* a d)) c) |
(/ (+ (* -1 (* b c)) (* a d)) c) |
(* -1 b) |
(- (/ (* a d) c) b) |
(- (/ (* a d) c) b) |
(- (/ (* a d) c) b) |
(* -1 b) |
(- (/ (* a d) c) b) |
(- (/ (* a d) c) b) |
(- (/ (* a d) c) b) |
(* -1 b) |
(- (/ (* a d) c) b) |
(- (/ (* a d) c) b) |
(- (/ (* a d) c) b) |
(/ (* a d) c) |
(* a (+ (* -1 (/ b a)) (/ d c))) |
(* a (+ (* -1 (/ b a)) (/ d c))) |
(* a (+ (* -1 (/ b a)) (/ d c))) |
(/ (* a d) c) |
(* -1 (* a (+ (* -1 (/ d c)) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ d c)) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ d c)) (/ b a)))) |
(/ (* a d) c) |
(+ (* -1 b) (/ (* a d) c)) |
(+ (* -1 b) (/ (* a d) c)) |
(+ (* -1 b) (/ (* a d) c)) |
(* -1 b) |
(* b (- (/ (* a d) (* b c)) 1)) |
(* b (- (/ (* a d) (* b c)) 1)) |
(* b (- (/ (* a d) (* b c)) 1)) |
(* -1 b) |
(* -1 (* b (+ 1 (* -1 (/ (* a d) (* b c)))))) |
(* -1 (* b (+ 1 (* -1 (/ (* a d) (* b c)))))) |
(* -1 (* b (+ 1 (* -1 (/ (* a d) (* b 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) |
| 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)))) |
(*.f64 (neg.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)))) |
(fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(*.f64 (/.f64 c (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 (fma.f64 (neg.f64 a) (/.f64 d (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 c (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 (fma.f64 (neg.f64 a) (/.f64 d (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 c (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 (fma.f64 (neg.f64 a) (/.f64 d (*.f64 b (fma.f64 d d (*.f64 c c)))) (/.f64 c (fma.f64 d d (*.f64 c c)))) b) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(*.f64 (/.f64 c (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 (neg.f64 b) (fma.f64 (/.f64 d (*.f64 b (fma.f64 d d (*.f64 c c)))) a (/.f64 (neg.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) (fma.f64 (/.f64 d (*.f64 b (fma.f64 d d (*.f64 c c)))) a (/.f64 (neg.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) (fma.f64 (/.f64 d (*.f64 b (fma.f64 d d (*.f64 c c)))) a (/.f64 (neg.f64 c) (fma.f64 d d (*.f64 c c))))) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(fma.f64 (fma.f64 (/.f64 c (*.f64 (*.f64 d d) d)) a (/.f64 b (*.f64 d d))) c (/.f64 (neg.f64 a) d)) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (/.f64 c (*.f64 (*.f64 (*.f64 d d) d) d)) (/.f64 a (*.f64 (*.f64 d d) d))) c (/.f64 b (*.f64 d d))) c (/.f64 (neg.f64 a) d)) |
(/ b c) |
(/.f64 b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 d d) c) b (*.f64 d a))) 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 (*.f64 (*.f64 d d) (/.f64 d (*.f64 (*.f64 c c) c))) a (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 d d) c) b (*.f64 d a))) c)) b) c) |
(/ b c) |
(/.f64 b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(/.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (neg.f64 c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 d d) c) b (*.f64 d a))) c) b))) c) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) |
(/.f64 (neg.f64 (-.f64 (/.f64 (neg.f64 (neg.f64 (fma.f64 d a (/.f64 (fma.f64 (neg.f64 a) (*.f64 (*.f64 d d) (/.f64 d c)) (*.f64 b (*.f64 d d))) c)))) c) b)) c) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(*.f64 (neg.f64 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 (fma.f64 (/.f64 c (*.f64 (fma.f64 d d (*.f64 c c)) a)) b (/.f64 (neg.f64 d) (fma.f64 d d (*.f64 c c)))) a) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 (fma.f64 (/.f64 c (*.f64 (fma.f64 d d (*.f64 c c)) a)) b (/.f64 (neg.f64 d) (fma.f64 d d (*.f64 c c)))) a) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 (fma.f64 (/.f64 c (*.f64 (fma.f64 d d (*.f64 c c)) a)) b (/.f64 (neg.f64 d) (fma.f64 d d (*.f64 c c)))) a) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(*.f64 (neg.f64 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 (neg.f64 a) (fma.f64 (neg.f64 b) (/.f64 c (*.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 (neg.f64 a) (fma.f64 (neg.f64 b) (/.f64 c (*.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 (neg.f64 a) (fma.f64 (neg.f64 b) (/.f64 c (*.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 (fma.f64 (neg.f64 d) (/.f64 a c) b) c) |
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(*.f64 (-.f64 (/.f64 b a) (/.f64 d c)) (neg.f64 a)) |
(* -1 (* a (+ (* -1 (/ d c)) (/ b a)))) |
(*.f64 (-.f64 (/.f64 b a) (/.f64 d c)) (neg.f64 a)) |
(/ (* a d) c) |
(*.f64 (/.f64 d c) a) |
(+ (* -1 b) (/ (* a d) c)) |
(fma.f64 (/.f64 d c) a (neg.f64 b)) |
(+ (* -1 b) (/ (* a d) c)) |
(fma.f64 (/.f64 d c) a (neg.f64 b)) |
(+ (* -1 b) (/ (* a d) c)) |
(fma.f64 (/.f64 d c) a (neg.f64 b)) |
(* -1 b) |
(neg.f64 b) |
(* b (- (/ (* a d) (* b c)) 1)) |
(*.f64 (fma.f64 (/.f64 d (*.f64 b c)) a #s(literal -1 binary64)) b) |
(* b (- (/ (* a d) (* b c)) 1)) |
(*.f64 (fma.f64 (/.f64 d (*.f64 b c)) a #s(literal -1 binary64)) b) |
(* b (- (/ (* a d) (* b c)) 1)) |
(*.f64 (fma.f64 (/.f64 d (*.f64 b c)) a #s(literal -1 binary64)) b) |
(* -1 b) |
(neg.f64 b) |
(* -1 (* b (+ 1 (* -1 (/ (* a d) (* b c)))))) |
(*.f64 (neg.f64 (fma.f64 (neg.f64 a) (/.f64 d (*.f64 b c)) #s(literal 1 binary64))) b) |
(* -1 (* b (+ 1 (* -1 (/ (* a d) (* b c)))))) |
(*.f64 (neg.f64 (fma.f64 (neg.f64 a) (/.f64 d (*.f64 b c)) #s(literal 1 binary64))) b) |
(* -1 (* b (+ 1 (* -1 (/ (* a d) (* b c)))))) |
(*.f64 (neg.f64 (fma.f64 (neg.f64 a) (/.f64 d (*.f64 b c)) #s(literal 1 binary64))) b) |
(/ (* a d) c) |
(*.f64 (/.f64 d c) a) |
(/ (* a d) c) |
(*.f64 (/.f64 d c) a) |
(/ (* a d) c) |
(*.f64 (/.f64 d c) a) |
(/ (* a d) c) |
(*.f64 (/.f64 d c) a) |
(/ (* a d) c) |
(*.f64 (/.f64 d c) a) |
(/ (* a d) c) |
(*.f64 (/.f64 d c) a) |
(/ (* a d) c) |
(*.f64 (/.f64 d c) a) |
(/ (* a d) c) |
(*.f64 (/.f64 d c) a) |
(/ (* a d) c) |
(*.f64 (/.f64 d c) a) |
(/ (* a d) c) |
(*.f64 (/.f64 d c) a) |
(/ (* a d) c) |
(*.f64 (/.f64 d c) a) |
(/ (* a d) c) |
(*.f64 (/.f64 d c) a) |
(/ (* a d) c) |
(*.f64 (/.f64 d c) a) |
(/ (* a d) c) |
(*.f64 (/.f64 d c) a) |
(/ (* a d) c) |
(*.f64 (/.f64 d c) a) |
(/ (* a d) c) |
(*.f64 (/.f64 d c) a) |
(/ (* a d) c) |
(*.f64 (/.f64 d c) a) |
(/ (* a d) c) |
(*.f64 (/.f64 d c) a) |
(/ (* a d) c) |
(*.f64 (/.f64 d c) a) |
(/ (* a d) c) |
(*.f64 (/.f64 d c) a) |
(/ (* a d) c) |
(*.f64 (/.f64 d c) a) |
(/ (* a d) c) |
(*.f64 (/.f64 d c) a) |
(/ (* a d) c) |
(*.f64 (/.f64 d c) a) |
(/ (* a d) c) |
(*.f64 (/.f64 d c) a) |
(/ (* a d) c) |
(*.f64 (/.f64 d c) a) |
(/ (* a d) c) |
(*.f64 (/.f64 d c) a) |
(/ (* a d) c) |
(*.f64 (/.f64 d c) a) |
(/ (* a d) c) |
(*.f64 (/.f64 d c) a) |
(/ (* a d) c) |
(*.f64 (/.f64 d c) a) |
(/ (* a d) c) |
(*.f64 (/.f64 d c) a) |
(/ (* a d) c) |
(*.f64 (/.f64 d c) a) |
(/ (* a d) c) |
(*.f64 (/.f64 d c) a) |
(/ (* a d) c) |
(*.f64 (/.f64 d c) a) |
(/ (* a d) c) |
(*.f64 (/.f64 d c) a) |
(/ (* a d) c) |
(*.f64 (/.f64 d c) a) |
(/ (* a d) c) |
(*.f64 (/.f64 d c) a) |
| 2 388× | lower-fma.f32 |
| 2 387× | lower-fma.f64 |
| 2 282× | lower-/.f32 |
| 2 273× | lower-/.f64 |
| 1 989× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 268 |
| 0 | 67 | 260 |
| 1 | 270 | 248 |
| 2 | 1745 | 248 |
| 0 | 8659 | 242 |
| 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 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)) |
(/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c) |
(fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) |
(*.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) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b))) |
#s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b)) |
(/.f64 c b) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ (neg d) c) a) b) (*.f64 (/.f64 (neg.f64 a) c) d)) c)) |
(/.f64 #s(approx (+ (* (/ (neg d) c) a) b) (*.f64 (/.f64 (neg.f64 a) c) d)) c) |
#s(approx (+ (* (/ (neg d) c) a) b) (*.f64 (/.f64 (neg.f64 a) c) d)) |
(*.f64 (/.f64 (neg.f64 a) c) d) |
(*.f64 #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) (/.f64 #s(literal -1 binary64) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) (/.f64 #s(literal -1 binary64) c))) |
#s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) |
(*.f64 (/.f64 d c) a) |
| Outputs |
|---|
(*.f64 (/.f64 a #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) c)) |
(*.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 (neg.f64 a) #s(literal 1 binary64))) |
(*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c)) |
(*.f64 (/.f64 a c) #s(literal 1 binary64)) |
(*.f64 a (/.f64 #s(literal 1 binary64) c)) |
(*.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) c) a) |
(*.f64 #s(literal 1 binary64) (/.f64 a c)) |
(pow.f64 (/.f64 c a) #s(literal -1 binary64)) |
(/.f64 (neg.f64 a) (neg.f64 c)) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 c) a)) |
(/.f64 a c) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c a) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 c a)) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 a) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) c)) |
(*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 a a) a) (*.f64 (*.f64 b b) b)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)))) c)) |
(*.f64 (/.f64 (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c))) c) (/.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c))))) |
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (*.f64 b b)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 d c) a b)) c)) |
(*.f64 (/.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) c)) |
(*.f64 (pow.f64 (/.f64 c (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (*.f64 b b))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 d c) a b))) |
(*.f64 (pow.f64 (/.f64 c (fma.f64 (/.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 a a) a) (*.f64 (*.f64 b b) b))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c))))) |
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (*.f64 b b)) c) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 d c) a b)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (*.f64 b b)) c) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 d c) a b))) |
(*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 a a) a) (*.f64 (*.f64 b b) b)) c) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 a a) a) (*.f64 (*.f64 b b) b)) c) (/.f64 #s(literal 1 binary64) (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) c)) |
(*.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (*.f64 b b)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 d c) a b) (neg.f64 c)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 a a) a) (*.f64 (*.f64 b b) b)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c))) (neg.f64 c)))) |
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 d c) a b) c))) |
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 c (fma.f64 (/.f64 d c) a b)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 a a) a) (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c))) c))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 a a) a) (*.f64 (*.f64 b b) b)) (/.f64 #s(literal 1 binary64) (*.f64 c (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)))))) |
(*.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 c (fma.f64 (/.f64 d c) a (neg.f64 b)))))) |
(*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) c)) |
(*.f64 (/.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) c) (/.f64 (fma.f64 (/.f64 d c) a b) (fma.f64 (/.f64 d c) a b))) |
(*.f64 (/.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) c) #s(literal 1 binary64)) |
(*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) |
(*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal 1 binary64) c)) |
(*.f64 (/.f64 #s(literal 1 binary64) c) (fma.f64 (/.f64 d c) a (neg.f64 b))) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) c)) |
(pow.f64 (/.f64 c (fma.f64 (/.f64 d c) a (neg.f64 b))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (*.f64 b b)) c)) (neg.f64 (fma.f64 (/.f64 d c) a b))) |
(/.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 a a) a) (*.f64 (*.f64 b b) b)) c)) (neg.f64 (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) #s(literal -1 binary64))) c) |
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (*.f64 b b)) #s(literal -1 binary64))) (neg.f64 (*.f64 (fma.f64 (/.f64 d c) a b) (neg.f64 c)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 a a) a) (*.f64 (*.f64 b b) b)) #s(literal -1 binary64))) (neg.f64 (*.f64 (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c))) (neg.f64 c)))) |
(/.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (*.f64 b b)) c) (fma.f64 (/.f64 d c) a b)) |
(/.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 a a) a) (*.f64 (*.f64 b b) b)) c) (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)))) |
(/.f64 (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) #s(literal -1 binary64)) (neg.f64 c)) |
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (*.f64 b b))) (neg.f64 (*.f64 (fma.f64 (/.f64 d c) a b) c))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (*.f64 b b))) (neg.f64 (*.f64 c (fma.f64 (/.f64 d c) a b)))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 a a) a) (*.f64 (*.f64 b b) b))) (neg.f64 (*.f64 (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c))) c))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 a a) a) (*.f64 (*.f64 b b) b))) (neg.f64 (*.f64 c (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)))))) |
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (*.f64 b b)) #s(literal -1 binary64)) (*.f64 (fma.f64 (/.f64 d c) a b) (neg.f64 c))) |
(/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 a a) a) (*.f64 (*.f64 b b) b)) #s(literal -1 binary64)) (*.f64 (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c))) (neg.f64 c))) |
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (*.f64 b b)) (*.f64 c (fma.f64 (/.f64 d c) a b))) |
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (*.f64 b b)) (*.f64 (fma.f64 (/.f64 d c) a b) c)) |
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 a a) a) (*.f64 (*.f64 b b) b)) (*.f64 c (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c))))) |
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 a a) a) (*.f64 (*.f64 b b) b)) (*.f64 (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c))) c)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 c (fma.f64 (/.f64 d c) a (neg.f64 b))))) |
(/.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (neg.f64 c)) |
(/.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) c) |
(/.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 d c) a (neg.f64 b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 d c) a b) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (*.f64 b b)) c))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 a a) a) (*.f64 (*.f64 b b) b)) c))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 c) (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 d c) a b) (neg.f64 c)) (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (*.f64 b b)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (/.f64 d c) a b) c) (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (*.f64 b b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c))) (neg.f64 c)) (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 a a) a) (*.f64 (*.f64 b b) b)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 b (+.f64 b (*.f64 (/.f64 d c) a)) (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c))) c) (fma.f64 (/.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 a a) a) (*.f64 (*.f64 b b) b)))) |
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(*.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) (neg.f64 c))) |
(pow.f64 (/.f64 c (neg.f64 #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a))))) c) |
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)))) (neg.f64 c)) |
(/.f64 (neg.f64 #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a))) c) |
(/.f64 #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) (neg.f64 c)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 c (neg.f64 #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 c) #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c (neg.f64 #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 c (neg.f64 #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a))))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) c) #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) (neg.f64 c))) |
(*.f64 #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a))) |
#s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) |
(*.f64 (/.f64 (neg.f64 a) #s(literal -1 binary64)) (/.f64 d c)) |
(*.f64 (/.f64 a #s(literal -1 binary64)) (/.f64 (neg.f64 d) c)) |
(*.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) d))) |
(*.f64 (/.f64 d c) (/.f64 a #s(literal 1 binary64))) |
(*.f64 (/.f64 d c) a) |
(*.f64 (*.f64 (neg.f64 a) d) (/.f64 #s(literal -1 binary64) c)) |
(*.f64 (neg.f64 d) (/.f64 (neg.f64 a) c)) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 a) c) d)) |
(*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) c)) |
(*.f64 d (/.f64 a c)) |
(*.f64 (/.f64 a c) d) |
(*.f64 a (/.f64 d c)) |
(*.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (/.f64 #s(literal 1 binary64) d))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 d c) a)) |
(pow.f64 (/.f64 c (*.f64 d a)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) #s(literal 0 binary64)) (*.f64 (/.f64 d c) a)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 a a) a)) #s(literal 0 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (/.f64 d c) a) #s(literal 0 binary64))))) |
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 d d) d) (*.f64 (*.f64 c c) c)) (*.f64 (*.f64 a a) a) #s(literal 0 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 d a) d) a) (*.f64 c c)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (/.f64 d c) a) #s(literal 0 binary64))))) |
(/.f64 (neg.f64 a) (/.f64 (neg.f64 c) d)) |
(/.f64 (*.f64 (neg.f64 a) d) (neg.f64 c)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 c (*.f64 d a)))) |
(/.f64 (*.f64 d a) c) |
(/.f64 d (/.f64 c a)) |
(/.f64 a (/.f64 c d)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c d) a)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c (*.f64 d a)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 c (*.f64 d a))) |
(neg.f64 (*.f64 (/.f64 (neg.f64 a) c) d)) |
(fma.f64 (/.f64 (neg.f64 a) #s(literal -1 binary64)) (/.f64 d c) #s(literal 0 binary64)) |
(fma.f64 (/.f64 a #s(literal -1 binary64)) (/.f64 (neg.f64 d) c) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 (neg.f64 a) (/.f64 #s(literal 1 binary64) d)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 d c) (/.f64 a #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (/.f64 d c) a #s(literal 0 binary64)) |
(fma.f64 (*.f64 (neg.f64 a) d) (/.f64 #s(literal -1 binary64) c) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 d) (/.f64 (neg.f64 a) c) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 a) c) d) #s(literal 0 binary64)) |
(fma.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) c) #s(literal 0 binary64)) |
(fma.f64 d (/.f64 a c) #s(literal 0 binary64)) |
(fma.f64 (/.f64 a c) d #s(literal 0 binary64)) |
(fma.f64 a (/.f64 d c) #s(literal 0 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 a (/.f64 #s(literal 1 binary64) d)) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 d c) a) #s(literal 0 binary64)) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 c d)) (*.f64 (/.f64 (neg.f64 a) c) d)) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 a) c) d)) |
(-.f64 (*.f64 (/.f64 d c) a) #s(literal 0 binary64)) |
(+.f64 (*.f64 (/.f64 d c) a) #s(literal 0 binary64)) |
Compiled 18 767 to 1 422 computations (92.4% saved)
26 alts after pruning (18 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 137 | 4 | 1 141 |
| Fresh | 3 | 14 | 17 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 5 | 6 |
| Total | 1 143 | 26 | 1 169 |
| 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 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 a d))) (*.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 b c)) #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 b c)) (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 a d)))) | |
| 36.0% | (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (fma.f64 d d (*.f64 c c)))) | |
| 19.4% | (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| 16.6% | (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| 29.1% | (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| 48.9% | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (fma.f64 (fma.f64 (fma.f64 a (/.f64 a (*.f64 (*.f64 (*.f64 b b) c) b)) (/.f64 #s(literal 1 binary64) (*.f64 b c))) d (/.f64 a (*.f64 b b))) d (/.f64 c b)))) | |
| ✓ | 46.9% | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b))) |
| 58.7% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 a) c) d b) c)) | |
| 48.7% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) | |
| 48.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) | |
| 15.1% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (/.f64 (neg.f64 (*.f64 (*.f64 a a) a)) (fma.f64 a a #s(literal 0 binary64))) d)) | |
| 22.5% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a))) 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 (+ (* (/ (neg d) c) a) b) (/.f64 (neg.f64 d) (/.f64 c a))) c)) | |
| ✓ | 47.2% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
| ✓ | 36.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a)))) |
| 39.5% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 d a))) | |
| 53.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) #s(approx (/ (+ (* c c) (* d d)) (* d a)) (fma.f64 c (/.f64 c (*.f64 d a)) (/.f64 d a))))) | |
| 41.2% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)) | |
| 38.2% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) | |
| 47.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b)) | |
| 19.4% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) | |
| ✓ | 22.5% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) (/.f64 #s(literal -1 binary64) c))) |
| ✓ | 39.5% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 #s(literal -1 binary64) d))) |
Compiled 1 036 to 376 computations (63.7% saved)
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 #s(literal -1 binary64) d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 d a))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ (neg d) c) a) b) (*.f64 (/.f64 (neg.f64 a) c) d)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 (neg.f64 a) d) (fma.f64 c c (*.f64 d d)))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (fma.f64 d d (*.f64 c c)))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 a) c) d b) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) (+.f64 (*.f64 c c) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) (/.f64 #s(literal -1 binary64) c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ (neg d) c) a) b) (/.f64 (neg.f64 d) (/.f64 c a))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) 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(literal -1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 d a)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ (neg d) c) a) b) (*.f64 (fma.f64 d (/.f64 a (*.f64 b c)) #s(literal -1 binary64)) (neg.f64 b))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (/.f64 (neg.f64 (*.f64 (*.f64 a a) a)) (fma.f64 a a #s(literal 0 binary64))) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) #s(approx (/ (+ (* c c) (* d d)) (* d a)) (fma.f64 c (/.f64 c (*.f64 d a)) (/.f64 d a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 (neg.f64 d) a (*.f64 b c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (fma.f64 (*.f64 (/.f64 d c) d) b (*.f64 a d)) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (/.f64 c d) c) a (*.f64 b c)) d) a) d)) |
(fma.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b (*.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (fma.f64 (fma.f64 (fma.f64 a (/.f64 a (*.f64 (*.f64 (*.f64 b b) c) b)) (/.f64 #s(literal 1 binary64) (*.f64 b c))) d (/.f64 a (*.f64 b b))) d (/.f64 c b)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 b c)) (*.f64 a (/.f64 a (*.f64 (*.f64 (*.f64 b b) c) b)))) d (/.f64 a (*.f64 b b))) d (/.f64 c b)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (fma.f64 (neg.f64 (fma.f64 (fma.f64 b (/.f64 b (*.f64 (*.f64 (*.f64 a a) a) d)) (/.f64 #s(literal 1 binary64) (*.f64 d a))) c (/.f64 b (*.f64 a a)))) c (/.f64 (neg.f64 d) a)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 a d))) (*.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 b c)) #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 b c)) (/.f64 (fma.f64 d d (*.f64 c c)) (*.f64 a d)))) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c)) |
5 calls:
| 49.0ms | a |
| 16.0ms | c |
| 16.0ms | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 13.0ms | b |
| 13.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.6% | 4 | a |
| 72.5% | 3 | b |
| 85.5% | 4 | c |
| 82.7% | 3 | d |
| 80.4% | 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 (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)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 d a))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ (neg d) c) a) b) (*.f64 (/.f64 (neg.f64 a) c) d)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 (neg.f64 a) d) (fma.f64 c c (*.f64 d d)))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (fma.f64 d d (*.f64 c c)))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 a) c) d b) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) (+.f64 (*.f64 c c) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a)) (/.f64 #s(literal -1 binary64) c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ (neg d) c) a) b) (/.f64 (neg.f64 d) (/.f64 c a))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (*.f64 (/.f64 #s(literal 1 binary64) c) a) b) c)) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) |
2 calls:
| 10.0ms | c |
| 10.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.7% | 3 | d |
| 81.9% | 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 (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)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 d a))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ (neg d) c) a) b) (*.f64 (/.f64 (neg.f64 a) c) d)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 (neg.f64 a) d) (fma.f64 c c (*.f64 d d)))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (fma.f64 d d (*.f64 c c)))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 a) c) d b) c)) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) |
1 calls:
| 9.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.6% | 3 | d |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 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)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 d a))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ (neg d) c) a) b) (*.f64 (/.f64 (neg.f64 a) c) d)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 (neg.f64 a) d) (fma.f64 c c (*.f64 d d)))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (fma.f64 d d (*.f64 c c)))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c)) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) |
1 calls:
| 8.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.6% | 3 | d |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 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)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 d a))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ (neg d) c) a) b) (*.f64 (/.f64 (neg.f64 a) c) d)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 (neg.f64 a) d) (fma.f64 c c (*.f64 d d)))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (fma.f64 d d (*.f64 c c)))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
2 calls:
| 11.0ms | c |
| 7.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.0% | 3 | c |
| 78.5% | 3 | d |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 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)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 d a))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ (neg d) c) a) b) (*.f64 (/.f64 (neg.f64 a) c) d)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 (neg.f64 a) d) (fma.f64 c c (*.f64 d d)))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (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 (/.f64 c (fma.f64 d d (*.f64 c c))) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
5 calls:
| 22.0ms | b |
| 7.0ms | c |
| 7.0ms | a |
| 7.0ms | 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 |
| 57.3% | 3 | b |
| 72.9% | 5 | c |
| 54.9% | 3 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 71.0% | 4 | d |
Compiled 39 to 27 computations (30.8% saved)
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 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)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 d a))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a (fma.f64 c c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ (neg d) c) a) b) (*.f64 (/.f64 (neg.f64 a) c) d)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 #s(approx (+ (* (/ d c) a) (neg b)) (*.f64 (/.f64 d c) a))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 (neg.f64 a) d) (fma.f64 c c (*.f64 d d)))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (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 (/.f64 c (fma.f64 d d (*.f64 c c))) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
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 (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)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal -1 binary64) (/.f64 d a))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* d d) (* c c)) (+ (* (neg d) a) (* b c))) (/.f64 c b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 d) (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
2 calls:
| 25.0ms | c |
| 4.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.7% | 3 | d |
| 69.6% | 4 | c |
Compiled 10 to 8 computations (20% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
5 calls:
| 1.0ms | c |
| 1.0ms | d |
| 1.0ms | a |
| 1.0ms | b |
| 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 | b |
| 47.2% | 1 | a |
| 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 |
|---|---|---|
| 14.0ms | 1.8286271680507868e-30 | 9.881804613908835e-22 |
| 35.0ms | -1.1321267015231055e-72 | -2.2946536880303613e-76 |
| 13.0ms | -2.1407138102724094e+46 | -3.447448592593049e+41 |
| 47.0ms | 400× | 0 | valid |
Compiled 852 to 516 computations (39.4% saved)
ival-mult: 10.0ms (65.3% of total)ival-sub: 2.0ms (13.1% of total)ival-div: 2.0ms (13.1% of total)ival-add: 2.0ms (13.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 0.001043279869220851 | 78.05166961761074 |
| 14.0ms | -3.955350209244986e+47 | -3.410336492103626e+42 |
| 20.0ms | 288× | 0 | valid |
Compiled 562 to 342 computations (39.1% saved)
ival-mult: 9.0ms (67% of total)ival-div: 2.0ms (14.9% of total)ival-sub: 1.0ms (7.4% of total)ival-add: 1.0ms (7.4% 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 |
| 4.0ms | -3.955350209244986e+47 | -3.410336492103626e+42 |
| 2.0ms | 32× | 0 | valid |
Compiled 562 to 342 computations (39.1% saved)
ival-mult: 1.0ms (81.7% 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 |
|---|---|---|
| 1.0ms | 0.001043279869220851 | 78.05166961761074 |
| 1.0ms | -3.955350209244986e+47 | -3.410336492103626e+42 |
Compiled 562 to 342 computations (39.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 0.001043279869220851 | 78.05166961761074 |
| 48.0ms | -4.332233628861631e+64 | -3.955350209244986e+47 |
| 17.0ms | 272× | 0 | valid |
Compiled 497 to 322 computations (35.2% saved)
ival-mult: 7.0ms (65.6% of total)ival-sub: 1.0ms (9.4% of total)ival-div: 1.0ms (9.4% of total)ival-add: 1.0ms (9.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 7.051501889286339e+92 | 3.574702790218717e+94 |
| 6.0ms | 1.8286271680507868e-30 | 9.881804613908835e-22 |
| 18.0ms | -1.0630911457775192e-148 | -1.2689029783096218e-153 |
| 12.0ms | -4.83475991545316e+159 | -3.1441219750850462e+156 |
| 28.0ms | 448× | 0 | valid |
Compiled 881 to 547 computations (37.9% saved)
ival-mult: 11.0ms (62.3% of total)ival-div: 3.0ms (17% of total)ival-sub: 2.0ms (11.3% of total)ival-add: 2.0ms (11.3% 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 |
|---|---|---|
| 0.0ms | 1.8286271680507868e-30 | 9.881804613908835e-22 |
| 1.0ms | -1.0630911457775192e-148 | -1.2689029783096218e-153 |
| 1.0ms | -4.83475991545316e+159 | -3.1441219750850462e+156 |
Compiled 627 to 399 computations (36.4% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 0.001043279869220851 | 78.05166961761074 |
| 1.0ms | -4.332233628861631e+64 | -3.955350209244986e+47 |
| 7.0ms | 80× | 0 | valid |
Compiled 383 to 265 computations (30.8% saved)
ival-mult: 4.0ms (82.5% 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)| 1× | egg-herbie |
| 10× | *-commutative_binary64 |
| 10× | +-commutative_binary64 |
| 9× | sub-neg_binary64 |
| 7× | neg-sub0_binary64 |
| 7× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 95 | 725 |
| 1 | 115 | 725 |
| 2 | 138 | 725 |
| 3 | 150 | 725 |
| 4 | 156 | 725 |
| 5 | 157 | 725 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 c #s(literal -10500000000000000054733159900266663744712474624 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (if (<=.f64 c #s(literal -4237034830775731/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 c #s(literal 5923635443359697/174224571863520493293247799005065324265472 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c))))) |
(if (<=.f64 d #s(literal -17199999999999999100815205027642397597630464 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) (if (<=.f64 d #s(literal 5072854620270127/2305843009213693952 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)))) |
(if (<=.f64 d #s(literal -16000000000000000718171402849214668568788992 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) (if (<=.f64 d #s(literal 5072854620270127/2305843009213693952 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)))) |
(if (<=.f64 d #s(literal -16000000000000000718171402849214668568788992 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (if (<=.f64 d #s(literal 5072854620270127/2305843009213693952 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)))) |
(if (<=.f64 d #s(literal -6499999999999999314204456254491152370692200209213381379358720 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 d #s(literal 1261007895663739/4503599627370496 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)))) |
(if (<=.f64 c #s(literal -3200000000000000022963940930912538573057967398053129977814808708680021173775626884104531423506438058572370362025496388360322609095343015230487476917667627008 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 c #s(literal -2506146922733055/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)) (if (<=.f64 c #s(literal 3136042293543369/174224571863520493293247799005065324265472 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 c #s(literal 3200000000000000138807350318781395434528938639846205797733676125875573801246979555012236017664 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 -2506146922733055/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)) (if (<=.f64 c #s(literal 5923635443359697/174224571863520493293247799005065324265472 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))))) |
(if (<=.f64 d #s(literal -6499999999999999314204456254491152370692200209213381379358720 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 d #s(literal 3242591731706757/36028797018963968 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
| Outputs |
|---|
(if (<=.f64 c #s(literal -10500000000000000054733159900266663744712474624 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (if (<=.f64 c #s(literal -4237034830775731/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 c #s(literal 5923635443359697/174224571863520493293247799005065324265472 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c))))) |
(if (<=.f64 c #s(literal -10500000000000000054733159900266663744712474624 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) (if (<=.f64 c #s(literal -4237034830775731/8148143905337944345073782753637512644205873574663745002544561797417525199053346824733589504 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 d a)) (+.f64 (*.f64 d d) (*.f64 c c))) (if (<=.f64 c #s(literal 5923635443359697/174224571863520493293247799005065324265472 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c))))) |
(if (<=.f64 d #s(literal -17199999999999999100815205027642397597630464 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) (if (<=.f64 d #s(literal 5072854620270127/2305843009213693952 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (neg.f64 d) c) a b) c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)))) |
(if (<=.f64 d #s(literal -16000000000000000718171402849214668568788992 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) (if (<=.f64 d #s(literal 5072854620270127/2305843009213693952 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)))) |
(if (<=.f64 d #s(literal -16000000000000000718171402849214668568788992 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) (if (<=.f64 d #s(literal 5072854620270127/2305843009213693952 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)))) |
(if (<=.f64 d #s(literal -16000000000000000718171402849214668568788992 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (if (<=.f64 d #s(literal 5072854620270127/2305843009213693952 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)))) |
(if (<=.f64 d #s(literal -16000000000000000718171402849214668568788992 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (if (<=.f64 d #s(literal 5072854620270127/2305843009213693952 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)))) |
(if (<=.f64 d #s(literal -6499999999999999314204456254491152370692200209213381379358720 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 d #s(literal 1261007895663739/4503599627370496 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)))) |
(if (<=.f64 d #s(literal -6499999999999999314204456254491152370692200209213381379358720 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 d #s(literal 1261007895663739/4503599627370496 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)))) |
(if (<=.f64 c #s(literal -3200000000000000022963940930912538573057967398053129977814808708680021173775626884104531423506438058572370362025496388360322609095343015230487476917667627008 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 c #s(literal -2506146922733055/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)) (if (<=.f64 c #s(literal 3136042293543369/174224571863520493293247799005065324265472 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 c #s(literal 3200000000000000138807350318781395434528938639846205797733676125875573801246979555012236017664 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 -2506146922733055/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)) (if (<=.f64 c #s(literal 3136042293543369/174224571863520493293247799005065324265472 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 c #s(literal 3200000000000000138807350318781395434528938639846205797733676125875573801246979555012236017664 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 d a)) #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 -2506146922733055/7371020360979572953596786290992712677572111758625860211672277930167234692172165726730716260112614780354430419981960634569864423105321860610471551272329484460252725248 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)) (if (<=.f64 c #s(literal 5923635443359697/174224571863520493293247799005065324265472 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))))) |
(if (<=.f64 d #s(literal -6499999999999999314204456254491152370692200209213381379358720 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 d #s(literal 3242591731706757/36028797018963968 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
| 4 074× | lower-fma.f64 |
| 4 074× | lower-fma.f32 |
| 3 965× | lower-fma.f64 |
| 3 965× | lower-fma.f32 |
| 3 870× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 696 | 10309 |
| 1 | 2376 | 9878 |
| 0 | 8463 | 9386 |
| 0 | 34 | 205 |
| 0 | 53 | 203 |
| 1 | 200 | 203 |
| 2 | 1459 | 203 |
| 0 | 8353 | 203 |
| 0 | 38 | 221 |
| 0 | 59 | 221 |
| 1 | 190 | 217 |
| 2 | 1201 | 215 |
| 0 | 8909 | 215 |
| 0 | 191 | 1511 |
| 1 | 623 | 1461 |
| 2 | 1863 | 1441 |
| 3 | 5484 | 1432 |
| 0 | 8487 | 1356 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 757 to 354 computations (53.2% saved)
Compiled 754 to 222 computations (70.6% saved)
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