
Time bar (total: 8.5s)
| 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)
| 894.0ms | 8 256× | 0 | valid |
ival-mult: 526.0ms (79% of total)ival-div: 51.0ms (7.7% of total)ival-add: 41.0ms (6.2% of total)ival-sub: 38.0ms (5.7% of total)ival-true: 6.0ms (0.9% of total)ival-assert: 3.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 113 | 0 | - | 0 | - | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 7 | 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 | 56 | 0 |
| ↳ | (*.f64 b c) | overflow | 32 | |
| ↳ | (-.f64 (*.f64 b c) (*.f64 a d)) | overflow | 66 | |
| ↳ | (*.f64 a d) | overflow | 43 | |
| ↳ | (+.f64 (*.f64 c c) (*.f64 d d)) | overflow | 119 | |
| ↳ | (*.f64 c c) | overflow | 55 | |
| ↳ | (*.f64 d d) | overflow | 75 | |
/.f64 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) | n/o | 34 | 0 |
| ↳ | (+.f64 (*.f64 c c) (*.f64 d d)) | overflow | 119 | |
| ↳ | (*.f64 c c) | overflow | 55 | |
| ↳ | (*.f64 d d) | overflow | 75 | |
/.f64 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) | n/u | 10 | 0 |
| ↳ | (+.f64 (*.f64 c c) (*.f64 d d)) | underflow | 18 | |
| ↳ | (*.f64 c c) | underflow | 62 | |
| ↳ | (*.f64 d d) | underflow | 69 | |
/.f64 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) | o/n | 10 | 0 |
| ↳ | (*.f64 b c) | overflow | 32 | |
| ↳ | (-.f64 (*.f64 b c) (*.f64 a d)) | overflow | 66 | |
| ↳ | (*.f64 a d) | overflow | 43 | |
-.f64 | (-.f64 (*.f64 b c) (*.f64 a d)) | nan-rescue | 7 | 0 |
| ↳ | (*.f64 b c) | overflow | 32 | |
| ↳ | (*.f64 a d) | overflow | 43 | |
/.f64 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) | u/u | 3 | 0 |
| ↳ | (*.f64 b c) | underflow | 32 | |
| ↳ | (-.f64 (*.f64 b c) (*.f64 a d)) | underflow | 3 | |
| ↳ | (*.f64 a d) | underflow | 28 | |
| ↳ | (+.f64 (*.f64 c c) (*.f64 d d)) | underflow | 18 | |
| ↳ | (*.f64 c c) | underflow | 62 | |
| ↳ | (*.f64 d d) | underflow | 69 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 113 | 0 |
| - | 0 | 143 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 113 | 0 | 0 |
| - | 0 | 0 | 143 |
| number | freq |
|---|---|
| 0 | 143 |
| 1 | 106 |
| 2 | 7 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 38.0ms | 512× | 0 | valid |
Compiled 113 to 37 computations (67.3% saved)
ival-mult: 13.0ms (63.5% of total)ival-div: 3.0ms (14.7% of total)ival-sub: 2.0ms (9.8% of total)ival-add: 2.0ms (9.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 1 350× | unsub-neg |
| 982× | div-sub |
| 876× | distribute-rgt-in |
| 874× | distribute-lft-in |
| 752× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 214 |
| 1 | 202 | 214 |
| 2 | 402 | 214 |
| 3 | 976 | 214 |
| 4 | 2796 | 214 |
| 5 | 4580 | 214 |
| 6 | 5390 | 214 |
| 7 | 5495 | 214 |
| 8 | 5515 | 214 |
| 9 | 5531 | 214 |
| 10 | 5531 | 214 |
| 11 | 5995 | 214 |
| 12 | 6203 | 214 |
| 13 | 6203 | 214 |
| 14 | 6203 | 214 |
| 15 | 6299 | 214 |
| 16 | 6299 | 214 |
| 17 | 6371 | 214 |
| 18 | 6403 | 214 |
| 19 | 6403 | 214 |
| 20 | 6403 | 214 |
| 0 | 11 | 15 |
| 0 | 18 | 15 |
| 1 | 29 | 15 |
| 2 | 51 | 15 |
| 3 | 81 | 15 |
| 4 | 140 | 15 |
| 5 | 239 | 15 |
| 6 | 382 | 15 |
| 7 | 630 | 15 |
| 8 | 1092 | 15 |
| 9 | 1766 | 15 |
| 10 | 2007 | 15 |
| 11 | 2047 | 15 |
| 12 | 2075 | 15 |
| 13 | 2075 | 15 |
| 0 | 2075 | 14 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 (fma.f64 a (neg.f64 d) (*.f64 b c)) (fma.f64 c c (*.f64 d d))) |
Compiled 19 to 11 computations (42.1% saved)
Compiled 4 to 4 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 57.9% | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
Compiled 19 to 11 computations (42.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 b c) | |
| cost-diff | 0 | (-.f64 (*.f64 b c) (*.f64 a d)) | |
| cost-diff | 0 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) | |
| cost-diff | 128 | (+.f64 (*.f64 c c) (*.f64 d d)) |
| 752× | lower-fma.f64 |
| 752× | lower-fma.f32 |
| 636× | times-frac |
| 512× | lower-*.f32 |
| 504× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 45 |
| 0 | 18 | 45 |
| 1 | 29 | 45 |
| 2 | 51 | 45 |
| 3 | 81 | 45 |
| 4 | 140 | 45 |
| 5 | 239 | 45 |
| 6 | 382 | 45 |
| 7 | 630 | 45 |
| 8 | 1092 | 45 |
| 9 | 1766 | 45 |
| 10 | 2007 | 45 |
| 11 | 2047 | 45 |
| 12 | 2075 | 45 |
| 13 | 2075 | 45 |
| 0 | 2075 | 43 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(-.f64 (*.f64 b c) (*.f64 a d)) |
(*.f64 b c) |
b |
c |
(*.f64 a d) |
a |
d |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(*.f64 c c) |
(*.f64 d d) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 (fma.f64 a (neg.f64 d) (*.f64 b c)) (fma.f64 c c (*.f64 d d))) |
(-.f64 (*.f64 b c) (*.f64 a d)) |
(fma.f64 a (neg.f64 d) (*.f64 b c)) |
(*.f64 b c) |
b |
c |
(*.f64 a d) |
a |
d |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(fma.f64 c c (*.f64 d d)) |
(*.f64 c c) |
(*.f64 d d) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 a d) | |
| accuracy | 0.0078125 | (+.f64 (*.f64 c c) (*.f64 d d)) | |
| accuracy | 1.4960896216604118 | (-.f64 (*.f64 b c) (*.f64 a d)) | |
| accuracy | 26.63536640934182 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 24.0ms | 256× | 0 | valid |
Compiled 47 to 13 computations (72.3% saved)
ival-mult: 10.0ms (66% of total)ival-sub: 3.0ms (19.8% of total)ival-div: 1.0ms (6.6% of total)ival-add: 1.0ms (6.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ()) |
#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ()) |
#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (pow d 2) (taylor 0 c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (pow c 2) (taylor inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (pow c 2) (taylor -inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor -inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor -inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor -inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (pow c 2) (taylor 0 d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (pow d 2) (taylor inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (pow d 2) (taylor -inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (taylor 0 b) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) (taylor 0 b) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) (taylor 0 b) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) (taylor 0 b) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) (+ (pow c 2) (pow d 2))) (taylor inf b) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) (taylor inf b) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) (taylor inf b) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) (taylor inf b) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) (+ (pow c 2) (pow d 2))) (taylor -inf b) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) (taylor -inf b) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) (taylor -inf b) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) (taylor -inf b) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
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#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 | |
|---|---|---|---|---|
| 15.0ms | b | @ | inf | (* b c) |
| 1.0ms | b | @ | 0 | (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) |
| 1.0ms | c | @ | -inf | (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) |
| 1.0ms | a | @ | 0 | (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) |
| 1.0ms | a | @ | inf | (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) |
| 1× | egg-herbie |
| 7 930× | lower-fma.f64 |
| 7 930× | lower-fma.f32 |
| 3 586× | lower-*.f64 |
| 3 586× | lower-*.f32 |
| 2 316× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 191 | 1511 |
| 1 | 623 | 1461 |
| 2 | 1863 | 1441 |
| 3 | 5484 | 1432 |
| 0 | 8487 | 1356 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow d 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(pow c 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(* -1 (* a d)) |
(- (* b c) (* a d)) |
(- (* b c) (* a d)) |
(- (* b c) (* a d)) |
(* b c) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(* b c) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(* -1 (* a d)) |
(- (* b c) (* a d)) |
(- (* b c) (* a d)) |
(- (* b c) (* a d)) |
(* b c) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(* b c) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(* b c) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(* -1 (* a d)) |
(* a (- (/ (* b c) a) d)) |
(* a (- (/ (* b c) a) d)) |
(* a (- (/ (* b c) a) d)) |
(* -1 (* a d)) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(* b c) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(* -1 (* a d)) |
(* d (- (/ (* b c) d) a)) |
(* d (- (/ (* b c) d) a)) |
(* d (- (/ (* b c) d) a)) |
(* -1 (* a d)) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
| Outputs |
|---|
(pow d 2) |
(*.f64 d d) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 d d (*.f64 c c)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 d d (*.f64 c c)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 d d (*.f64 c c)) |
(pow c 2) |
(*.f64 c c) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(fma.f64 d d (*.f64 c c)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(fma.f64 d d (*.f64 c c)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(fma.f64 d d (*.f64 c c)) |
(pow c 2) |
(*.f64 c c) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(fma.f64 d d (*.f64 c c)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(fma.f64 d d (*.f64 c c)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(fma.f64 d d (*.f64 c c)) |
(pow c 2) |
(*.f64 c c) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 d d (*.f64 c c)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 d d (*.f64 c c)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 d d (*.f64 c c)) |
(pow d 2) |
(*.f64 d d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(fma.f64 d d (*.f64 c c)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(fma.f64 d d (*.f64 c c)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(fma.f64 d d (*.f64 c c)) |
(pow d 2) |
(*.f64 d d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(fma.f64 d d (*.f64 c c)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(fma.f64 d d (*.f64 c c)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(fma.f64 d d (*.f64 c c)) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(-.f64 (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 d a) (fma.f64 d d (*.f64 c c)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(-.f64 (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 d a) (fma.f64 d d (*.f64 c c)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(-.f64 (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 d a) (fma.f64 d d (*.f64 c c)))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(-.f64 (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 d a) (fma.f64 d d (*.f64 c c)))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(-.f64 (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 d a) (fma.f64 d d (*.f64 c c)))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(-.f64 (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 d a) (fma.f64 d d (*.f64 c c)))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(-.f64 (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 d a) (fma.f64 d d (*.f64 c c)))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(-.f64 (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 d a) (fma.f64 d d (*.f64 c c)))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(-.f64 (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 d a) (fma.f64 d d (*.f64 c c)))) |
(* -1 (/ a d)) |
(/.f64 a (neg.f64 d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(/.f64 (-.f64 (/.f64 (fma.f64 c b (/.f64 (*.f64 c (*.f64 c a)) d)) d) a) d) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(fma.f64 (*.f64 c c) (-.f64 (/.f64 a (*.f64 d (*.f64 d d))) (/.f64 (*.f64 c b) (pow.f64 d #s(literal 4 binary64)))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) |
(/ b c) |
(/.f64 b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/.f64 (-.f64 b (/.f64 (fma.f64 d a (/.f64 (*.f64 (*.f64 d d) b) c)) c)) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(/.f64 (-.f64 b (/.f64 (fma.f64 d a (/.f64 (fma.f64 a (/.f64 (*.f64 d (*.f64 d (neg.f64 d))) c) (*.f64 (*.f64 d d) b)) c)) c)) c) |
(/ b c) |
(/.f64 b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(/.f64 (-.f64 b (/.f64 (fma.f64 d a (/.f64 (*.f64 (*.f64 d d) b) c)) c)) c) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) |
(/.f64 (-.f64 b (/.f64 (fma.f64 d a (/.f64 (fma.f64 a (/.f64 (*.f64 d (*.f64 d (neg.f64 d))) c) (*.f64 (*.f64 d d) b)) c)) c)) c) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(-.f64 (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 d a) (fma.f64 d d (*.f64 c c)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(-.f64 (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 d a) (fma.f64 d d (*.f64 c c)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(-.f64 (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 d a) (fma.f64 d d (*.f64 c c)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 a (-.f64 (*.f64 c (/.f64 b (*.f64 (fma.f64 d d (*.f64 c c)) a))) (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 a (-.f64 (*.f64 c (/.f64 b (*.f64 (fma.f64 d d (*.f64 c c)) a))) (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 a (-.f64 (*.f64 c (/.f64 b (*.f64 (fma.f64 d d (*.f64 c c)) a))) (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(*.f64 a (-.f64 (*.f64 c (/.f64 b (*.f64 (fma.f64 d d (*.f64 c c)) a))) (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(*.f64 a (-.f64 (*.f64 c (/.f64 b (*.f64 (fma.f64 d d (*.f64 c c)) a))) (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(*.f64 a (-.f64 (*.f64 c (/.f64 b (*.f64 (fma.f64 d d (*.f64 c c)) a))) (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(/ b c) |
(/.f64 b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(/.f64 (-.f64 b (/.f64 (fma.f64 d a (/.f64 (*.f64 (*.f64 d d) b) c)) c)) c) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(fma.f64 (*.f64 d d) (fma.f64 d (/.f64 a (pow.f64 c #s(literal 4 binary64))) (/.f64 (neg.f64 b) (*.f64 c (*.f64 c c)))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) |
(* -1 (/ a d)) |
(/.f64 a (neg.f64 d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/.f64 (-.f64 (/.f64 (fma.f64 c b (/.f64 (*.f64 c (*.f64 c a)) d)) d) a) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(/.f64 (-.f64 (/.f64 (fma.f64 c b (/.f64 (-.f64 (*.f64 c (*.f64 c a)) (*.f64 c (/.f64 (*.f64 (*.f64 c c) b) d))) d)) d) a) d) |
(* -1 (/ a d)) |
(/.f64 a (neg.f64 d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 c b (/.f64 (*.f64 c (*.f64 c a)) d)) d) a) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 c b (/.f64 (-.f64 (*.f64 c (*.f64 c a)) (*.f64 c (/.f64 (*.f64 (*.f64 c c) b) d))) d)) d) a) d) |
(* -1 (* a d)) |
(*.f64 a (neg.f64 d)) |
(- (* b c) (* a d)) |
(fma.f64 d (neg.f64 a) (*.f64 c b)) |
(- (* b c) (* a d)) |
(fma.f64 d (neg.f64 a) (*.f64 c b)) |
(- (* b c) (* a d)) |
(fma.f64 d (neg.f64 a) (*.f64 c b)) |
(* b c) |
(*.f64 c b) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(fma.f64 d (neg.f64 a) (*.f64 c b)) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(fma.f64 d (neg.f64 a) (*.f64 c b)) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(fma.f64 d (neg.f64 a) (*.f64 c b)) |
(* b c) |
(*.f64 c b) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(fma.f64 d (neg.f64 a) (*.f64 c b)) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(fma.f64 d (neg.f64 a) (*.f64 c b)) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(fma.f64 d (neg.f64 a) (*.f64 c b)) |
(* -1 (* a d)) |
(*.f64 a (neg.f64 d)) |
(- (* b c) (* a d)) |
(fma.f64 d (neg.f64 a) (*.f64 c b)) |
(- (* b c) (* a d)) |
(fma.f64 d (neg.f64 a) (*.f64 c b)) |
(- (* b c) (* a d)) |
(fma.f64 d (neg.f64 a) (*.f64 c b)) |
(* b c) |
(*.f64 c b) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(fma.f64 d (neg.f64 a) (*.f64 c b)) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(fma.f64 d (neg.f64 a) (*.f64 c b)) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(fma.f64 d (neg.f64 a) (*.f64 c b)) |
(* b c) |
(*.f64 c b) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(fma.f64 d (neg.f64 a) (*.f64 c b)) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(fma.f64 d (neg.f64 a) (*.f64 c b)) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(fma.f64 d (neg.f64 a) (*.f64 c b)) |
(* b c) |
(*.f64 c b) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 d (neg.f64 a) (*.f64 c b)) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 d (neg.f64 a) (*.f64 c b)) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 d (neg.f64 a) (*.f64 c b)) |
(* -1 (* a d)) |
(*.f64 a (neg.f64 d)) |
(* a (- (/ (* b c) a) d)) |
(*.f64 a (-.f64 (/.f64 (*.f64 c b) a) d)) |
(* a (- (/ (* b c) a) d)) |
(*.f64 a (-.f64 (/.f64 (*.f64 c b) a) d)) |
(* a (- (/ (* b c) a) d)) |
(*.f64 a (-.f64 (/.f64 (*.f64 c b) a) d)) |
(* -1 (* a d)) |
(*.f64 a (neg.f64 d)) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(*.f64 a (-.f64 (/.f64 (*.f64 c b) a) d)) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(*.f64 a (-.f64 (/.f64 (*.f64 c b) a) d)) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(*.f64 a (-.f64 (/.f64 (*.f64 c b) a) d)) |
(* b c) |
(*.f64 c b) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 d (neg.f64 a) (*.f64 c b)) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 d (neg.f64 a) (*.f64 c b)) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 d (neg.f64 a) (*.f64 c b)) |
(* -1 (* a d)) |
(*.f64 a (neg.f64 d)) |
(* d (- (/ (* b c) d) a)) |
(*.f64 d (fma.f64 c (/.f64 b d) (neg.f64 a))) |
(* d (- (/ (* b c) d) a)) |
(*.f64 d (fma.f64 c (/.f64 b d) (neg.f64 a))) |
(* d (- (/ (* b c) d) a)) |
(*.f64 d (fma.f64 c (/.f64 b d) (neg.f64 a))) |
(* -1 (* a d)) |
(*.f64 a (neg.f64 d)) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(*.f64 d (fma.f64 c (/.f64 b d) (neg.f64 a))) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(*.f64 d (fma.f64 c (/.f64 b d) (neg.f64 a))) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(*.f64 d (fma.f64 c (/.f64 b d) (neg.f64 a))) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
| 5 586× | lower-fma.f64 |
| 5 586× | lower-fma.f32 |
| 5 346× | lower-*.f32 |
| 5 338× | lower-*.f64 |
| 3 234× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 35 |
| 0 | 18 | 35 |
| 1 | 65 | 35 |
| 2 | 505 | 35 |
| 3 | 6376 | 35 |
| 0 | 8178 | 33 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 c c) (*.f64 d d)) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(-.f64 (*.f64 b c) (*.f64 a d)) |
(*.f64 b c) |
(*.f64 a d) |
| Outputs |
|---|
(+.f64 (*.f64 c c) (*.f64 d d)) |
(+.f64 (*.f64 d d) (*.f64 c c)) |
(+.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d))) (neg.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))))) |
(+.f64 (neg.f64 (*.f64 d (neg.f64 d))) (neg.f64 (neg.f64 (*.f64 c c)))) |
(+.f64 (neg.f64 (neg.f64 (*.f64 c c))) (neg.f64 (*.f64 d (neg.f64 d)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
(-.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d))) (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d)))) |
(-.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 d c))) (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 d c)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))) #s(literal 1 binary64))) |
(fma.f64 c c (*.f64 d d)) |
(fma.f64 c (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d))) (neg.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))))) |
(fma.f64 (*.f64 c c) (/.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d))) (neg.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))))) |
(fma.f64 d d (*.f64 c c)) |
(fma.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 c d) (-.f64 c d))) (neg.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))))) |
(fma.f64 (*.f64 c (*.f64 c c)) (/.f64 c (*.f64 (+.f64 c d) (-.f64 c d))) (neg.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))))) |
(fma.f64 (exp.f64 (log.f64 d)) (exp.f64 (log.f64 d)) (*.f64 c c)) |
(fma.f64 (exp.f64 (log.f64 c)) (exp.f64 (log.f64 c)) (*.f64 d d)) |
(fma.f64 (/.f64 c (+.f64 c d)) (/.f64 (*.f64 c (*.f64 c c)) (-.f64 c d)) (neg.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))))) |
(fma.f64 (/.f64 (*.f64 c c) (+.f64 c d)) (/.f64 (*.f64 c c) (-.f64 c d)) (neg.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))))) |
(fma.f64 (/.f64 (*.f64 c (*.f64 c c)) (+.f64 c d)) (/.f64 c (-.f64 c d)) (neg.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 c d)))) (fma.f64 d d (*.f64 c c)) (neg.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (fma.f64 c (*.f64 c c) (*.f64 d (*.f64 d d))) (-.f64 (*.f64 c (*.f64 c c)) (*.f64 d (*.f64 d d))))) (fma.f64 (*.f64 d d) (fma.f64 d d (*.f64 c c)) (*.f64 (*.f64 c c) (*.f64 c c))) (neg.f64 (/.f64 (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (+.f64 c d) (-.f64 c d))))) |
(neg.f64 (neg.f64 (fma.f64 d d (*.f64 c c)))) |
(/.f64 (fma.f64 d d (*.f64 c c)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (fma.f64 d d (*.f64 c c))) #s(literal -1 binary64)) |
(/.f64 (fma.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c)))) (fma.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 d (*.f64 d (*.f64 d d))))) |
(/.f64 (fma.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 d (*.f64 d (*.f64 d d))))))) |
(/.f64 (fma.f64 d (*.f64 d (*.f64 d (*.f64 d (*.f64 d d)))) (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (*.f64 c c)))) (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 d (*.f64 d (*.f64 d d)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 c d) (-.f64 d c)) (*.f64 (fma.f64 d d (*.f64 c c)) (*.f64 (+.f64 c d) (-.f64 d c))))) |
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(*.f64 (fma.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b))) (*.f64 (*.f64 d (*.f64 d a)) (*.f64 a (*.f64 d a)))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (*.f64 d a)) (-.f64 (neg.f64 (*.f64 d a)) (*.f64 c b)) (*.f64 c (*.f64 b (*.f64 c b)))))) |
(*.f64 (fma.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b))) (*.f64 (*.f64 d (*.f64 d a)) (*.f64 a (*.f64 d a)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 b (*.f64 c b)) (*.f64 d (*.f64 a (fma.f64 c b (*.f64 d a)))))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 c (*.f64 b (*.f64 c b)) (*.f64 d (*.f64 a (fma.f64 c b (*.f64 d a))))) (/.f64 (-.f64 (*.f64 c b) (*.f64 d a)) (fma.f64 c (*.f64 b (*.f64 c b)) (*.f64 d (*.f64 a (fma.f64 c b (*.f64 d a))))))) |
(*.f64 (fma.f64 c (*.f64 b (*.f64 c b)) (*.f64 d (*.f64 a (fma.f64 c b (*.f64 d a))))) (*.f64 (-.f64 (*.f64 c b) (*.f64 d a)) (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 b (*.f64 c b)) (*.f64 d (*.f64 a (fma.f64 c b (*.f64 d a)))))))) |
(*.f64 #s(literal 1 binary64) (-.f64 (*.f64 c b) (*.f64 d a))) |
(*.f64 (*.f64 (-.f64 (*.f64 c b) (*.f64 d a)) (fma.f64 c b (*.f64 d a))) (/.f64 #s(literal 1 binary64) (fma.f64 c b (*.f64 d a)))) |
(*.f64 (*.f64 (-.f64 (*.f64 c b) (*.f64 d a)) (fma.f64 c b (*.f64 d a))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c b (*.f64 d a))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 c b (*.f64 d a)) (/.f64 (-.f64 (*.f64 c b) (*.f64 d a)) (fma.f64 c b (*.f64 d a)))) |
(*.f64 (fma.f64 c b (*.f64 d a)) (*.f64 (-.f64 (*.f64 c b) (*.f64 d a)) (/.f64 #s(literal 1 binary64) (fma.f64 c b (*.f64 d a))))) |
(*.f64 #s(literal -1 binary64) (-.f64 (*.f64 d a) (*.f64 c b))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b))) (*.f64 (*.f64 d (*.f64 d a)) (*.f64 a (*.f64 d a))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 c (*.f64 b (*.f64 c b)) (*.f64 d (*.f64 a (fma.f64 c b (*.f64 d a)))))))) |
(*.f64 (*.f64 (fma.f64 c b (*.f64 d a)) (-.f64 (*.f64 d a) (*.f64 c b))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 c b (*.f64 d a))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 b (*.f64 c b)) (*.f64 d (*.f64 a (fma.f64 c b (*.f64 d a)))))) (fma.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b))) (*.f64 (*.f64 d (*.f64 d a)) (*.f64 a (*.f64 d a))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c b (*.f64 d a))) (*.f64 (-.f64 (*.f64 c b) (*.f64 d a)) (fma.f64 c b (*.f64 d a)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 c b) (*.f64 d a)) (fma.f64 c b (*.f64 d a))) (fma.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b))) (*.f64 (*.f64 d (*.f64 d a)) (*.f64 a (*.f64 d a))))) (fma.f64 (*.f64 d a) (-.f64 (*.f64 d a) (*.f64 c b)) (*.f64 c (*.f64 b (*.f64 c b))))) |
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 c b) (*.f64 d a)) (fma.f64 c b (*.f64 d a))) (*.f64 (-.f64 (*.f64 c b) (*.f64 d a)) (fma.f64 c b (*.f64 d a)))) (-.f64 (*.f64 c b) (*.f64 d a))) |
(*.f64 (/.f64 (fma.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b))) (*.f64 (*.f64 d (*.f64 d a)) (*.f64 a (*.f64 d a)))) (fma.f64 (*.f64 c b) (*.f64 (*.f64 c (*.f64 b (*.f64 c b))) (*.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b))))) (*.f64 (*.f64 d (*.f64 a (fma.f64 c b (*.f64 d a)))) (*.f64 (*.f64 d a) (*.f64 (fma.f64 c b (*.f64 d a)) (*.f64 d (*.f64 a (fma.f64 c b (*.f64 d a))))))))) (fma.f64 (*.f64 d (*.f64 a (fma.f64 c b (*.f64 d a)))) (-.f64 (*.f64 d (*.f64 a (fma.f64 c b (*.f64 d a)))) (*.f64 c (*.f64 b (*.f64 c b)))) (*.f64 (*.f64 c b) (*.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b))))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b))) (*.f64 (*.f64 d (*.f64 d a)) (*.f64 a (*.f64 d a)))) (*.f64 (fma.f64 c (*.f64 b (*.f64 c b)) (*.f64 d (*.f64 a (fma.f64 c b (*.f64 d a))))) (-.f64 (*.f64 c (*.f64 b (*.f64 c b))) (*.f64 d (*.f64 a (fma.f64 c b (*.f64 d a))))))) (-.f64 (*.f64 c (*.f64 b (*.f64 c b))) (*.f64 d (*.f64 a (fma.f64 c b (*.f64 d a)))))) |
(*.f64 c b) |
(*.f64 b c) |
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 d a))) |
(neg.f64 (neg.f64 (*.f64 d a))) |
(*.f64 d a) |
(*.f64 d (neg.f64 (neg.f64 a))) |
(*.f64 a d) |
(*.f64 a (neg.f64 (neg.f64 d))) |
(*.f64 #s(literal 1 binary64) (*.f64 d a)) |
(*.f64 (neg.f64 a) (neg.f64 d)) |
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 d a))) |
(*.f64 (neg.f64 d) (neg.f64 a)) |
(*.f64 (neg.f64 (neg.f64 a)) d) |
(*.f64 (neg.f64 (neg.f64 d)) a) |
Compiled 24 549 to 1 313 computations (94.7% saved)
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 633 | 13 | 646 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 634 | 13 | 647 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 58.1% | (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) |
| 57.9% | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) | |
| 29.8% | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| 36.2% | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| 57.8% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (-.f64 (*.f64 c b) (*.f64 d a)))) | |
| 57.8% | (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 c b) (*.f64 d a))) (neg.f64 (fma.f64 d d (*.f64 c c))))) | |
| ▶ | 57.8% | (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (-.f64 (*.f64 c b) (*.f64 d a))) |
| 53.5% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) | |
| ▶ | 50.5% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) |
| ▶ | 35.2% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) |
| 39.6% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) | |
| ▶ | 41.8% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
| 42.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d))) |
Compiled 428 to 244 computations (43% 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 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (-.f64 (*.f64 c b) (*.f64 d a))) | |
| cost-diff | 0 | (/.f64 (*.f64 d a) c) | |
| cost-diff | 0 | (-.f64 b (/.f64 (*.f64 d a) c)) | |
| cost-diff | 0 | (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) | |
| cost-diff | 0 | (neg.f64 (fma.f64 d d (*.f64 c c))) | |
| cost-diff | 0 | (*.f64 d a) | |
| cost-diff | 0 | (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c)))) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) | |
| cost-diff | 0 | (/.f64 b c) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) | |
| cost-diff | 0 | (fma.f64 d d (*.f64 c c)) | |
| cost-diff | 0 | (/.f64 d (fma.f64 d d (*.f64 c c))) | |
| cost-diff | 0 | (neg.f64 a) | |
| cost-diff | 1408 | (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) |
| 1 400× | lower-fma.f32 |
| 1 396× | lower-fma.f64 |
| 1 150× | times-frac |
| 952× | lower-*.f32 |
| 944× | lower-*.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 245 |
| 0 | 50 | 247 |
| 1 | 97 | 233 |
| 2 | 186 | 233 |
| 3 | 403 | 233 |
| 4 | 834 | 233 |
| 5 | 1433 | 233 |
| 6 | 2488 | 233 |
| 7 | 3168 | 233 |
| 8 | 3257 | 233 |
| 9 | 3294 | 233 |
| 10 | 3318 | 233 |
| 11 | 3318 | 233 |
| 12 | 3322 | 233 |
| 13 | 3322 | 233 |
| 0 | 3322 | 233 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) |
(neg.f64 a) |
a |
(/.f64 d (fma.f64 d d (*.f64 c c))) |
d |
(fma.f64 d d (*.f64 c c)) |
(*.f64 c c) |
c |
(/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) |
(*.f64 c b) |
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 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) |
(/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
(*.f64 d a) |
d |
a |
(neg.f64 (fma.f64 d d (*.f64 c c))) |
(fma.f64 d d (*.f64 c c)) |
(*.f64 c c) |
c |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) |
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) |
(-.f64 b (/.f64 (*.f64 d a) c)) |
b |
(/.f64 (*.f64 d a) c) |
(*.f64 d a) |
d |
a |
c |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (-.f64 (*.f64 c b) (*.f64 d a))) |
(/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) |
#s(literal 1 binary64) |
(fma.f64 d d (*.f64 c c)) |
d |
(*.f64 c c) |
c |
(-.f64 (*.f64 c b) (*.f64 d a)) |
(*.f64 c b) |
b |
(*.f64 d a) |
a |
| Outputs |
|---|
(fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) |
(/.f64 (fma.f64 a (neg.f64 d) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) |
(neg.f64 a) |
a |
(/.f64 d (fma.f64 d d (*.f64 c c))) |
d |
(fma.f64 d d (*.f64 c c)) |
(*.f64 c c) |
c |
(/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) |
(*.f64 c b) |
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 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a (neg.f64 d)) (fma.f64 d d (*.f64 c c)))) |
(/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
(/.f64 (*.f64 a (neg.f64 d)) (fma.f64 d d (*.f64 c c))) |
(*.f64 d a) |
(*.f64 a d) |
d |
a |
(neg.f64 (fma.f64 d d (*.f64 c c))) |
(fma.f64 d d (*.f64 c c)) |
(*.f64 c c) |
c |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) |
(/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) |
(-.f64 b (/.f64 (*.f64 d a) c)) |
(-.f64 b (/.f64 (*.f64 a d) c)) |
b |
(/.f64 (*.f64 d a) c) |
(/.f64 (*.f64 a d) c) |
(*.f64 d a) |
(*.f64 a d) |
d |
a |
c |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (-.f64 (*.f64 c b) (*.f64 d a))) |
(/.f64 (fma.f64 a (neg.f64 d) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) |
(/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) |
#s(literal 1 binary64) |
(fma.f64 d d (*.f64 c c)) |
d |
(*.f64 c c) |
c |
(-.f64 (*.f64 c b) (*.f64 d a)) |
(fma.f64 a (neg.f64 d) (*.f64 c b)) |
(*.f64 c b) |
b |
(*.f64 d a) |
(*.f64 a d) |
a |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (fma.f64 d d (*.f64 c c)) | |
| accuracy | 0.37827965991828544 | (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) | |
| accuracy | 1.4960896216604118 | (-.f64 (*.f64 c b) (*.f64 d a)) | |
| accuracy | 26.481467411944738 | (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (-.f64 (*.f64 c b) (*.f64 d a))) | |
| accuracy | 0 | (*.f64 d a) | |
| accuracy | 0.06640625 | (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) | |
| accuracy | 6.346346857892471 | (/.f64 (*.f64 d a) c) | |
| accuracy | 29.17207257398674 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) | |
| accuracy | 0 | (neg.f64 (fma.f64 d d (*.f64 c c))) | |
| accuracy | 0.00390625 | (fma.f64 d d (*.f64 c c)) | |
| accuracy | 22.613408211191462 | (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c)))) | |
| accuracy | 25.629998603834373 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) | |
| accuracy | 0 | (/.f64 b c) | |
| accuracy | 37.22327116542 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) | |
| accuracy | 0.00390625 | (fma.f64 d d (*.f64 c c)) | |
| accuracy | 1.2948199529624338 | (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) | |
| accuracy | 15.26494079499955 | (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) | |
| accuracy | 21.932393938213597 | (/.f64 d (fma.f64 d d (*.f64 c c))) |
| 50.0ms | 256× | 0 | valid |
Compiled 233 to 31 computations (86.7% saved)
ival-div: 12.0ms (37.1% of total)ival-mult: 12.0ms (37.1% of total)ival-sub: 3.0ms (9.3% of total)ival-add: 3.0ms (9.3% of total)ival-neg: 2.0ms (6.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) (patch (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ()) |
#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ()) |
#s(alt (/.f64 d (fma.f64 d d (*.f64 c c))) (patch (/.f64 d (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ()) |
#s(alt (fma.f64 d d (*.f64 c c)) (patch (fma.f64 d d (*.f64 c c)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) #<representation binary64>) () ()) |
#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c)))) (patch (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ()) |
#s(alt (*.f64 d a) (patch (*.f64 d a) #<representation binary64>) () ()) |
#s(alt (neg.f64 (fma.f64 d d (*.f64 c c))) (patch (neg.f64 (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) (patch (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) #<representation binary64>) () ()) |
#s(alt (-.f64 b (/.f64 (*.f64 d a) c)) (patch (-.f64 b (/.f64 (*.f64 d a) c)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 d a) c) (patch (/.f64 (*.f64 d a) c) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (-.f64 (*.f64 c b) (*.f64 d a))) (patch (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (-.f64 (*.f64 c b) (*.f64 d a))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ()) |
#s(alt (*.f64 c c) (patch (*.f64 c c) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) (patch (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* b c) (+ (pow c 2) (pow d 2))) (taylor 0 a) (#s(alt (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) (patch (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) (taylor 0 a) (#s(alt (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) (patch (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) (taylor 0 a) (#s(alt (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) (patch (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) (taylor 0 a) (#s(alt (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) (patch (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (taylor inf a) (#s(alt (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) (patch (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) (taylor inf a) (#s(alt (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) (patch (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) (taylor inf a) (#s(alt (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) (patch (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) (taylor inf a) (#s(alt (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) (patch (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (taylor -inf a) (#s(alt (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) (patch (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) (taylor -inf a) (#s(alt (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) (patch (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) (taylor -inf a) (#s(alt (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) (patch (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) (taylor -inf a) (#s(alt (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) (patch (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor 0 d) (#s(alt (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) (patch (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) (taylor 0 d) (#s(alt (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) (patch (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) (taylor 0 d) (#s(alt (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) (patch (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) (taylor 0 d) (#s(alt (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) (patch (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor inf d) (#s(alt (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) (patch (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 a) (/ (* b c) d)) d) (taylor inf d) (#s(alt (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) (patch (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) (taylor inf d) (#s(alt (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) (patch (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d)))) d) (taylor inf d) (#s(alt (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) (patch (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor -inf d) (#s(alt (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) (patch (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) (taylor -inf d) (#s(alt (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) (patch (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) (taylor -inf d) (#s(alt (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) (patch (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) (taylor -inf d) (#s(alt (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) (patch (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) (patch (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) (patch (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) (taylor 0 c) (#s(alt (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) (patch (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (* c (+ (* -1 (/ (* b c) (pow d 4))) (/ a (pow d 3)))) (/ b (pow d 2))))) (taylor 0 c) (#s(alt (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) (patch (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor inf c) (#s(alt (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) (patch (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ b (* -1 (/ (* a d) c))) c) (taylor inf c) (#s(alt (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) (patch (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) (taylor inf c) (#s(alt (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) (patch (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) (taylor inf c) (#s(alt (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) (patch (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor -inf c) (#s(alt (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) (patch (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) (taylor -inf c) (#s(alt (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) (patch (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) (taylor -inf c) (#s(alt (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) (patch (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (+ (* -1 (/ (* a (pow d 3)) c)) (* b (pow d 2))) c))) c))) c)) (taylor -inf c) (#s(alt (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) (patch (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (taylor 0 b) (#s(alt (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) (patch (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) (taylor 0 b) (#s(alt (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) (patch (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) (taylor 0 b) (#s(alt (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) (patch (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) (taylor 0 b) (#s(alt (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) (patch (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) (+ (pow c 2) (pow d 2))) (taylor inf b) (#s(alt (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) (patch (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) (taylor inf b) (#s(alt (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) (patch (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) (taylor inf b) (#s(alt (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) (patch (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) (taylor inf b) (#s(alt (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) (patch (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) (+ (pow c 2) (pow d 2))) (taylor -inf b) (#s(alt (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) (patch (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) #<representation binary64>) () ())) ()) |
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#s(alt (* d (- (/ (* b c) d) a)) (taylor inf d) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ()) |
#s(alt (* d (- (/ (* b c) d) a)) (taylor inf d) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ()) |
#s(alt (* d (- (/ (* b c) d) a)) (taylor inf d) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a d)) (taylor -inf d) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) (taylor -inf d) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) (taylor -inf d) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) (taylor -inf d) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ()) |
#s(alt (* b c) (taylor 0 a) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* a d)) (* b c)) (taylor 0 a) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* a d)) (* b c)) (taylor 0 a) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* a d)) (* b c)) (taylor 0 a) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a d)) (taylor inf a) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ()) |
#s(alt (* a (- (/ (* b c) a) d)) (taylor inf a) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ()) |
#s(alt (* a (- (/ (* b c) a) d)) (taylor inf a) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ()) |
#s(alt (* a (- (/ (* b c) a) d)) (taylor inf a) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a d)) (taylor -inf a) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) (taylor -inf a) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) (taylor -inf a) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) (taylor -inf a) (#s(alt (-.f64 (*.f64 c b) (*.f64 d a)) (patch (-.f64 (*.f64 c b) (*.f64 d a)) #<representation binary64>) () ())) ()) |
165 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | c | @ | -inf | (/ (- b (/ (* d a) c)) c) |
| 3.0ms | a | @ | 0 | (/ (* d a) (neg (+ (* d d) (* c c)))) |
| 1.0ms | b | @ | 0 | (+ (* (neg a) (/ d (+ (* d d) (* c c)))) (/ (* c b) (+ (* d d) (* c c)))) |
| 1.0ms | a | @ | 0 | (+ (* (neg a) (/ d (+ (* d d) (* c c)))) (/ (* c b) (+ (* d d) (* c c)))) |
| 0.0ms | a | @ | inf | (+ (* (neg a) (/ d (+ (* d d) (* c c)))) (/ (* c b) (+ (* d d) (* c c)))) |
| 1× | egg-herbie |
| 8 084× | lower-fma.f64 |
| 8 084× | lower-fma.f32 |
| 5 512× | lower-*.f64 |
| 5 512× | lower-*.f32 |
| 2 072× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 548 | 8762 |
| 1 | 1685 | 8367 |
| 2 | 5010 | 8233 |
| 0 | 8239 | 7856 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* b 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))) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d)))) d) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(+ (* -1 (/ a d)) (* c (+ (* c (+ (* -1 (/ (* b c) (pow d 4))) (/ a (pow d 3)))) (/ b (pow d 2))))) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (+ (* -1 (/ (* a (pow d 3)) c)) (* b (pow d 2))) c))) c))) c)) |
(* -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) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(/ d (pow c 2)) |
(* d (+ (* -1 (/ (pow d 2) (pow c 4))) (/ 1 (pow c 2)))) |
(* d (+ (* (pow d 2) (- (/ (pow d 2) (pow c 6)) (/ 1 (pow c 4)))) (/ 1 (pow c 2)))) |
(* d (+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 8))) (/ 1 (pow c 6)))) (/ 1 (pow c 4)))) (/ 1 (pow c 2)))) |
(/ 1 d) |
(/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) d) |
(/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) d) |
(/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) d) |
(/ 1 d) |
(* -1 (/ (- (/ (pow c 2) (pow d 2)) 1) d)) |
(* -1 (/ (- (* -1 (/ (pow c 4) (pow d 4))) (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) d)) |
(* -1 (/ (- (/ (pow c 6) (pow d 6)) (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (pow c 4) (pow d 4))))) d)) |
(/ 1 d) |
(+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d)) |
(+ (* (pow c 2) (- (/ (pow c 2) (pow d 5)) (/ 1 (pow d 3)))) (/ 1 d)) |
(+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 7))) (/ 1 (pow d 5)))) (/ 1 (pow d 3)))) (/ 1 d)) |
(/ d (pow c 2)) |
(/ (+ d (* -1 (/ (pow d 3) (pow c 2)))) (pow c 2)) |
(/ (- (+ d (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2))) (pow c 2)) |
(/ (- (+ d (* -1 (/ (pow d 7) (pow c 6)))) (+ (* -1 (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2)))) (pow c 2)) |
(/ d (pow c 2)) |
(/ (+ d (* -1 (/ (pow d 3) (pow c 2)))) (pow c 2)) |
(/ (- (+ d (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2))) (pow c 2)) |
(/ (- (+ d (* -1 (/ (pow d 7) (pow c 6)))) (+ (* -1 (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2)))) (pow c 2)) |
(pow c 2) |
(+ (pow c 2) (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)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(* -1 (/ (* a d) (pow c 2))) |
(* 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)) |
(+ (* -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)) |
(* 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 (pow c 2)) |
(- (* -1 (pow d 2)) (pow c 2)) |
(- (* -1 (pow d 2)) (pow c 2)) |
(- (* -1 (pow d 2)) (pow c 2)) |
(* -1 (pow d 2)) |
(* (pow d 2) (- (* -1 (/ (pow c 2) (pow d 2))) 1)) |
(* (pow d 2) (- (* -1 (/ (pow c 2) (pow d 2))) 1)) |
(* (pow d 2) (- (* -1 (/ (pow c 2) (pow d 2))) 1)) |
(* -1 (pow d 2)) |
(* (pow d 2) (- (* -1 (/ (pow c 2) (pow d 2))) 1)) |
(* (pow d 2) (- (* -1 (/ (pow c 2) (pow d 2))) 1)) |
(* (pow d 2) (- (* -1 (/ (pow c 2) (pow d 2))) 1)) |
(* -1 (pow d 2)) |
(- (* -1 (pow c 2)) (pow d 2)) |
(- (* -1 (pow c 2)) (pow d 2)) |
(- (* -1 (pow c 2)) (pow d 2)) |
(* -1 (pow c 2)) |
(* (pow c 2) (- (* -1 (/ (pow d 2) (pow c 2))) 1)) |
(* (pow c 2) (- (* -1 (/ (pow d 2) (pow c 2))) 1)) |
(* (pow c 2) (- (* -1 (/ (pow d 2) (pow c 2))) 1)) |
(* -1 (pow c 2)) |
(* (pow c 2) (- (* -1 (/ (pow d 2) (pow c 2))) 1)) |
(* (pow c 2) (- (* -1 (/ (pow d 2) (pow c 2))) 1)) |
(* (pow c 2) (- (* -1 (/ (pow d 2) (pow c 2))) 1)) |
(* -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)))) |
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(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (/ a d)) |
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(+ (* -1 (/ a d)) (* c (+ (* 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)))) |
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(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(* -1 (/ (* a d) (pow c 2))) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(/ b c) |
(* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c))) |
(* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c))) |
(* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c))) |
(/ b c) |
(* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c)))) |
(* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c)))) |
(* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c)))) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(* -1 (/ (* a d) (pow c 2))) |
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(* -1 (/ (* a d) (pow c 2))) |
(* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c)))) |
(* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c)))) |
(* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c)))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2))))) |
(* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2))))) |
(* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2))))) |
(* -1 (/ (* a d) (pow c 2))) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (* a d) c)) |
(- b (/ (* a d) c)) |
(- b (/ (* a d) c)) |
(- b (/ (* a d) c)) |
b |
(* b (+ 1 (* -1 (/ (* a d) (* b c))))) |
(* b (+ 1 (* -1 (/ (* a d) (* b c))))) |
(* b (+ 1 (* -1 (/ (* a d) (* b c))))) |
b |
(* -1 (* b (- (/ (* a d) (* b c)) 1))) |
(* -1 (* b (- (/ (* a d) (* b c)) 1))) |
(* -1 (* b (- (/ (* a d) (* b c)) 1))) |
b |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(* -1 (/ (* a d) c)) |
(* d (- (/ b d) (/ a c))) |
(* d (- (/ b d) (/ a c))) |
(* d (- (/ b d) (/ a c))) |
(* -1 (/ (* a d) c)) |
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) |
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) |
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) |
b |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(* -1 (/ (* a d) c)) |
(* a (- (/ b a) (/ d c))) |
(* a (- (/ b a) (/ d c))) |
(* a (- (/ b a) (/ d c))) |
(* -1 (/ (* a d) c)) |
(* -1 (* a (- (* -1 (/ b a)) (* -1 (/ d c))))) |
(* -1 (* a (- (* -1 (/ b a)) (* -1 (/ d c))))) |
(* -1 (* a (- (* -1 (/ b a)) (* -1 (/ d c))))) |
(* -1 (/ (* a d) c)) |
(/ (- (* b c) (* a d)) c) |
(/ (- (* b c) (* a d)) c) |
(/ (- (* b c) (* a d)) c) |
b |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
b |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ 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)) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(/ 1 (pow c 2)) |
(+ (* -1 (/ (pow d 2) (pow c 4))) (/ 1 (pow c 2))) |
(+ (* (pow d 2) (- (/ (pow d 2) (pow c 6)) (/ 1 (pow c 4)))) (/ 1 (pow c 2))) |
(+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 8))) (/ 1 (pow c 6)))) (/ 1 (pow c 4)))) (/ 1 (pow c 2))) |
(/ 1 (pow d 2)) |
(/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) (pow d 2)) |
(/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) (pow d 2)) |
(/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) (pow d 2)) |
(/ 1 (pow d 2)) |
(/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) (pow d 2)) |
(/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) (pow d 2)) |
(/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) (pow d 2)) |
(/ 1 (pow d 2)) |
(+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2))) |
(+ (* (pow c 2) (- (/ (pow c 2) (pow d 6)) (/ 1 (pow d 4)))) (/ 1 (pow d 2))) |
(+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 8))) (/ 1 (pow d 6)))) (/ 1 (pow d 4)))) (/ 1 (pow d 2))) |
(/ 1 (pow c 2)) |
(/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) (pow c 2)) |
(/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) (pow c 2)) |
(/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) (pow c 2)) |
(/ 1 (pow c 2)) |
(/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) (pow c 2)) |
(/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) (pow c 2)) |
(/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (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 c 2) |
(/ (* b c) (pow d 2)) |
(* c (+ (* -1 (/ (* b (pow c 2)) (pow d 4))) (/ b (pow d 2)))) |
(* c (+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 6)) (/ b (pow d 4)))) (/ b (pow d 2)))) |
(* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 8))) (* -1 (/ b (pow d 6))))) (/ b (pow d 4)))) (/ b (pow d 2)))) |
(/ b c) |
(/ (+ b (* -1 (/ (* b (pow d 2)) (pow c 2)))) c) |
(/ (- (+ b (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2))) c) |
(/ (- (+ b (* -1 (/ (* b (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2)))) c) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* b (pow d 2)) (pow c 2))) c)) |
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2)))) c)) |
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (+ (/ (* b (pow d 2)) (pow c 2)) (/ (* b (pow d 6)) (pow c 6))))) c)) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ b c) |
(+ (* -1 (/ (* b (pow d 2)) (pow c 3))) (/ b c)) |
(+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 5)) (/ b (pow c 3)))) (/ b c)) |
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 7))) (* -1 (/ b (pow c 5))))) (/ b (pow c 3)))) (/ b c)) |
(/ (* b c) (pow d 2)) |
(/ (+ (* -1 (/ (* b (pow c 3)) (pow d 2))) (* b c)) (pow d 2)) |
(/ (- (+ (* b c) (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2))) (pow d 2)) |
(/ (- (+ (* -1 (/ (* b (pow c 7)) (pow d 6))) (* b c)) (+ (* -1 (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2)))) (pow d 2)) |
(/ (* b c) (pow d 2)) |
(/ (+ (* -1 (/ (* b (pow c 3)) (pow d 2))) (* b c)) (pow d 2)) |
(/ (- (+ (* b c) (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2))) (pow d 2)) |
(/ (- (+ (* -1 (/ (* b (pow c 7)) (pow d 6))) (* b c)) (+ (* -1 (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2)))) (pow d 2)) |
(* -1 (* a d)) |
(- (* b c) (* a d)) |
(- (* b c) (* a d)) |
(- (* b c) (* a d)) |
(* b c) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(* b c) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(* -1 (* a d)) |
(- (* b c) (* a d)) |
(- (* b c) (* a d)) |
(- (* b c) (* a d)) |
(* b c) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(* b c) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(* b c) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(* -1 (* a d)) |
(* d (- (/ (* b c) d) a)) |
(* d (- (/ (* b c) d) a)) |
(* d (- (/ (* b c) d) a)) |
(* -1 (* a d)) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(* b c) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(* -1 (* a d)) |
(* a (- (/ (* b c) a) d)) |
(* a (- (/ (* b c) a) d)) |
(* a (- (/ (* b c) a) d)) |
(* -1 (* a d)) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
| Outputs |
|---|
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(-.f64 (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d)))) (/.f64 (*.f64 d 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)))) |
(-.f64 (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d)))) (/.f64 (*.f64 d 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)))) |
(-.f64 (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d)))) (/.f64 (*.f64 d a) (fma.f64 c c (*.f64 d d)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(/.f64 (*.f64 d a) (neg.f64 (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 a (-.f64 (/.f64 (*.f64 b c) (*.f64 (fma.f64 c c (*.f64 d d)) a)) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 a (-.f64 (/.f64 (*.f64 b c) (*.f64 (fma.f64 c c (*.f64 d d)) a)) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 a (-.f64 (/.f64 (*.f64 b c) (*.f64 (fma.f64 c c (*.f64 d d)) a)) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(/.f64 (*.f64 d a) (neg.f64 (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 a (-.f64 (/.f64 (*.f64 b c) (*.f64 (fma.f64 c c (*.f64 d d)) a)) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(*.f64 a (-.f64 (/.f64 (*.f64 b c) (*.f64 (fma.f64 c c (*.f64 d d)) a)) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(*.f64 a (-.f64 (/.f64 (*.f64 b c) (*.f64 (fma.f64 c c (*.f64 d d)) a)) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(/ b c) |
(/.f64 b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(/.f64 (fma.f64 b c (*.f64 d (neg.f64 a))) (*.f64 c c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(/.f64 (-.f64 (/.f64 (fma.f64 b (/.f64 (*.f64 d d) c) (*.f64 d a)) c) b) (neg.f64 c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(fma.f64 d (fma.f64 d (fma.f64 d (/.f64 a (*.f64 (*.f64 c c) (*.f64 c c))) (/.f64 b (neg.f64 (*.f64 c (*.f64 c c))))) (/.f64 a (*.f64 c (neg.f64 c)))) (/.f64 b c)) |
(* -1 (/ a d)) |
(/.f64 a (neg.f64 d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/.f64 (fma.f64 b (/.f64 c d) (*.f64 a (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64)))) d) |
(/ (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d)))) d) |
(/.f64 (+.f64 (/.f64 (-.f64 (*.f64 b c) (/.f64 (*.f64 b (*.f64 c (*.f64 c c))) (*.f64 d d))) d) (*.f64 a (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64)))) d) |
(* -1 (/ a d)) |
(/.f64 a (neg.f64 d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 b c (*.f64 a (/.f64 (*.f64 c c) d))) d) a) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 b c (/.f64 (fma.f64 c (*.f64 c a) (neg.f64 (/.f64 (*.f64 b (*.f64 c (*.f64 c c))) d))) d)) d) a) d) |
(* -1 (/ a d)) |
(/.f64 a (neg.f64 d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(fma.f64 b (/.f64 c (*.f64 d d)) (/.f64 (*.f64 a (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64))) d)) |
(+ (* -1 (/ a d)) (* c (+ (* c (+ (* -1 (/ (* b c) (pow d 4))) (/ a (pow d 3)))) (/ b (pow d 2))))) |
(fma.f64 (*.f64 c c) (-.f64 (/.f64 a (*.f64 d (*.f64 d d))) (/.f64 (*.f64 b c) (*.f64 (*.f64 d d) (*.f64 d d)))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) |
(/ b c) |
(/.f64 b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/.f64 (fma.f64 b c (*.f64 d (neg.f64 a))) (*.f64 c c)) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/.f64 (-.f64 (/.f64 (fma.f64 b (/.f64 (*.f64 d d) c) (*.f64 d a)) c) b) (neg.f64 c)) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(/.f64 (+.f64 b (fma.f64 a (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c))) (neg.f64 (/.f64 (fma.f64 b (/.f64 (*.f64 d d) c) (*.f64 d a)) c)))) c) |
(/ b c) |
(/.f64 b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(/.f64 (fma.f64 b c (*.f64 d (neg.f64 a))) (*.f64 c c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(/.f64 (-.f64 (/.f64 (fma.f64 b (/.f64 (*.f64 d d) c) (*.f64 d a)) c) b) (neg.f64 c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (+ (* -1 (/ (* a (pow d 3)) c)) (* b (pow d 2))) c))) c))) c)) |
(neg.f64 (/.f64 (-.f64 (/.f64 (fma.f64 d a (/.f64 (fma.f64 a (*.f64 d (/.f64 (*.f64 d (neg.f64 d)) c)) (*.f64 b (*.f64 d d))) c)) c) b) c)) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(/.f64 (*.f64 d a) (neg.f64 (fma.f64 c c (*.f64 d d)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(-.f64 (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d)))) (/.f64 (*.f64 d 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)))) |
(-.f64 (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d)))) (/.f64 (*.f64 d 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)))) |
(-.f64 (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d)))) (/.f64 (*.f64 d a) (fma.f64 c c (*.f64 d d)))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(*.f64 b (/.f64 c (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))))) |
(*.f64 b (-.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 d a) (*.f64 b (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))))) |
(*.f64 b (-.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 d a) (*.f64 b (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))))) |
(*.f64 b (-.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 d a) (*.f64 b (fma.f64 c c (*.f64 d d)))))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(*.f64 b (/.f64 c (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))))))) |
(*.f64 b (-.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 d a) (*.f64 b (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))))))) |
(*.f64 b (-.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 d a) (*.f64 b (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))))))) |
(*.f64 b (-.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 d a) (*.f64 b (fma.f64 c c (*.f64 d d)))))) |
(* -1 a) |
(neg.f64 a) |
(* -1 a) |
(neg.f64 a) |
(* -1 a) |
(neg.f64 a) |
(* -1 a) |
(neg.f64 a) |
(* -1 a) |
(neg.f64 a) |
(* -1 a) |
(neg.f64 a) |
(* -1 a) |
(neg.f64 a) |
(* -1 a) |
(neg.f64 a) |
(* -1 a) |
(neg.f64 a) |
(* -1 a) |
(neg.f64 a) |
(* -1 a) |
(neg.f64 a) |
(* -1 a) |
(neg.f64 a) |
(/ d (pow c 2)) |
(/.f64 d (*.f64 c c)) |
(* d (+ (* -1 (/ (pow d 2) (pow c 4))) (/ 1 (pow c 2)))) |
(*.f64 d (/.f64 (fma.f64 (neg.f64 d) (/.f64 d (*.f64 c c)) #s(literal 1 binary64)) (*.f64 c c))) |
(* d (+ (* (pow d 2) (- (/ (pow d 2) (pow c 6)) (/ 1 (pow c 4)))) (/ 1 (pow c 2)))) |
(fma.f64 d (*.f64 (*.f64 d d) (fma.f64 d (/.f64 d (pow.f64 c #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 c c) (*.f64 c c))))) (/.f64 d (*.f64 c c))) |
(* d (+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 8))) (/ 1 (pow c 6)))) (/ 1 (pow c 4)))) (/ 1 (pow c 2)))) |
(fma.f64 (*.f64 d d) (*.f64 (fma.f64 (*.f64 d d) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 6 binary64))) (/.f64 (*.f64 d d) (pow.f64 c #s(literal 8 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 c c) (*.f64 c c)))) d) (/.f64 d (*.f64 c c))) |
(/ 1 d) |
(/.f64 #s(literal 1 binary64) d) |
(/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) d) |
(/.f64 (fma.f64 (neg.f64 c) (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) d) |
(/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) d) |
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 d d))) (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64))) d) |
(/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) d) |
(neg.f64 (/.f64 (+.f64 (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (-.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64)) (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 d d))))) d)) |
(/ 1 d) |
(/.f64 #s(literal 1 binary64) d) |
(* -1 (/ (- (/ (pow c 2) (pow d 2)) 1) d)) |
(/.f64 (fma.f64 (neg.f64 c) (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) d) |
(* -1 (/ (- (* -1 (/ (pow c 4) (pow d 4))) (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) d)) |
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 d d))) (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64))) d) |
(* -1 (/ (- (/ (pow c 6) (pow d 6)) (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (pow c 4) (pow d 4))))) d)) |
(neg.f64 (/.f64 (+.f64 (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (-.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64)) (/.f64 (*.f64 (*.f64 c c) (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 d d))))) d)) |
(/ 1 d) |
(/.f64 #s(literal 1 binary64) d) |
(+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d)) |
(/.f64 (fma.f64 (neg.f64 c) (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) d) |
(+ (* (pow c 2) (- (/ (pow c 2) (pow d 5)) (/ 1 (pow d 3)))) (/ 1 d)) |
(fma.f64 c (*.f64 c (fma.f64 c (/.f64 c (pow.f64 d #s(literal 5 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 d (*.f64 d d))))) (/.f64 #s(literal 1 binary64) d)) |
(+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 7))) (/ 1 (pow d 5)))) (/ 1 (pow d 3)))) (/ 1 d)) |
(fma.f64 (*.f64 c c) (fma.f64 (*.f64 c c) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 d #s(literal 5 binary64))) (/.f64 (*.f64 c c) (pow.f64 d #s(literal 7 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 d (*.f64 d d)))) (/.f64 #s(literal 1 binary64) d)) |
(/ d (pow c 2)) |
(/.f64 d (*.f64 c c)) |
(/ (+ d (* -1 (/ (pow d 3) (pow c 2)))) (pow c 2)) |
(/.f64 (fma.f64 (*.f64 d d) (/.f64 d (*.f64 c (neg.f64 c))) d) (*.f64 c c)) |
(/ (- (+ d (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2))) (pow c 2)) |
(/.f64 (+.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) (*.f64 (*.f64 c c) (*.f64 c c))) (fma.f64 (*.f64 d d) (/.f64 d (*.f64 c (neg.f64 c))) d)) (*.f64 c c)) |
(/ (- (+ d (* -1 (/ (pow d 7) (pow c 6)))) (+ (* -1 (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2)))) (pow c 2)) |
(/.f64 (+.f64 (-.f64 d (/.f64 (pow.f64 d #s(literal 7 binary64)) (pow.f64 c #s(literal 6 binary64)))) (-.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) (*.f64 (*.f64 c c) (*.f64 c c))) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c c)))) (*.f64 c c)) |
(/ d (pow c 2)) |
(/.f64 d (*.f64 c c)) |
(/ (+ d (* -1 (/ (pow d 3) (pow c 2)))) (pow c 2)) |
(/.f64 (fma.f64 (*.f64 d d) (/.f64 d (*.f64 c (neg.f64 c))) d) (*.f64 c c)) |
(/ (- (+ d (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2))) (pow c 2)) |
(/.f64 (+.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) (*.f64 (*.f64 c c) (*.f64 c c))) (fma.f64 (*.f64 d d) (/.f64 d (*.f64 c (neg.f64 c))) d)) (*.f64 c c)) |
(/ (- (+ d (* -1 (/ (pow d 7) (pow c 6)))) (+ (* -1 (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2)))) (pow c 2)) |
(/.f64 (+.f64 (-.f64 d (/.f64 (pow.f64 d #s(literal 7 binary64)) (pow.f64 c #s(literal 6 binary64)))) (-.f64 (/.f64 (pow.f64 d #s(literal 5 binary64)) (*.f64 (*.f64 c c) (*.f64 c c))) (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c c)))) (*.f64 c c)) |
(pow c 2) |
(*.f64 c c) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(pow d 2) |
(*.f64 d d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 d (*.f64 d (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 d (*.f64 d (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 d (*.f64 d (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)))) |
(pow d 2) |
(*.f64 d d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 d (*.f64 d (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 d (*.f64 d (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
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(/ (- (+ (* b c) (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2))) (pow d 2)) |
(/.f64 (fma.f64 b (-.f64 (/.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 d d) (*.f64 d d))) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 d d))) (*.f64 b c)) (*.f64 d d)) |
(/ (- (+ (* -1 (/ (* b (pow c 7)) (pow d 6))) (* b c)) (+ (* -1 (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2)))) (pow d 2)) |
(/.f64 (fma.f64 b (-.f64 (/.f64 (pow.f64 c #s(literal 5 binary64)) (*.f64 (*.f64 d d) (*.f64 d d))) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 d d))) (-.f64 (*.f64 b c) (/.f64 (*.f64 b (pow.f64 c #s(literal 7 binary64))) (pow.f64 d #s(literal 6 binary64))))) (*.f64 d d)) |
(* -1 (* a d)) |
(*.f64 d (neg.f64 a)) |
(- (* b c) (* a d)) |
(fma.f64 b c (*.f64 d (neg.f64 a))) |
(- (* b c) (* a d)) |
(fma.f64 b c (*.f64 d (neg.f64 a))) |
(- (* b c) (* a d)) |
(fma.f64 b c (*.f64 d (neg.f64 a))) |
(* b c) |
(*.f64 b c) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(*.f64 c (-.f64 b (/.f64 (*.f64 d a) c))) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(*.f64 c (-.f64 b (/.f64 (*.f64 d a) c))) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(*.f64 c (-.f64 b (/.f64 (*.f64 d a) c))) |
(* b c) |
(*.f64 b c) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(*.f64 c (-.f64 b (/.f64 (*.f64 d a) c))) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(*.f64 c (-.f64 b (/.f64 (*.f64 d a) c))) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(*.f64 c (-.f64 b (/.f64 (*.f64 d a) c))) |
(* -1 (* a d)) |
(*.f64 d (neg.f64 a)) |
(- (* b c) (* a d)) |
(fma.f64 b c (*.f64 d (neg.f64 a))) |
(- (* b c) (* a d)) |
(fma.f64 b c (*.f64 d (neg.f64 a))) |
(- (* b c) (* a d)) |
(fma.f64 b c (*.f64 d (neg.f64 a))) |
(* b c) |
(*.f64 b c) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(*.f64 b (-.f64 c (/.f64 (*.f64 d a) b))) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(*.f64 b (-.f64 c (/.f64 (*.f64 d a) b))) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(*.f64 b (-.f64 c (/.f64 (*.f64 d a) b))) |
(* b c) |
(*.f64 b c) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(*.f64 b (-.f64 c (/.f64 (*.f64 d a) b))) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(*.f64 b (-.f64 c (/.f64 (*.f64 d a) b))) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(*.f64 b (-.f64 c (/.f64 (*.f64 d a) b))) |
(* b c) |
(*.f64 b c) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 b c (*.f64 d (neg.f64 a))) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 b c (*.f64 d (neg.f64 a))) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 b c (*.f64 d (neg.f64 a))) |
(* -1 (* a d)) |
(*.f64 d (neg.f64 a)) |
(* d (- (/ (* b c) d) a)) |
(*.f64 d (-.f64 (/.f64 (*.f64 b c) d) a)) |
(* d (- (/ (* b c) d) a)) |
(*.f64 d (-.f64 (/.f64 (*.f64 b c) d) a)) |
(* d (- (/ (* b c) d) a)) |
(*.f64 d (-.f64 (/.f64 (*.f64 b c) d) a)) |
(* -1 (* a d)) |
(*.f64 d (neg.f64 a)) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(*.f64 d (-.f64 (/.f64 (*.f64 b c) d) a)) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(*.f64 d (-.f64 (/.f64 (*.f64 b c) d) a)) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(*.f64 d (-.f64 (/.f64 (*.f64 b c) d) a)) |
(* b c) |
(*.f64 b c) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 b c (*.f64 d (neg.f64 a))) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 b c (*.f64 d (neg.f64 a))) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 b c (*.f64 d (neg.f64 a))) |
(* -1 (* a d)) |
(*.f64 d (neg.f64 a)) |
(* a (- (/ (* b c) a) d)) |
(*.f64 a (fma.f64 c (/.f64 b a) (neg.f64 d))) |
(* a (- (/ (* b c) a) d)) |
(*.f64 a (fma.f64 c (/.f64 b a) (neg.f64 d))) |
(* a (- (/ (* b c) a) d)) |
(*.f64 a (fma.f64 c (/.f64 b a) (neg.f64 d))) |
(* -1 (* a d)) |
(*.f64 d (neg.f64 a)) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(*.f64 a (fma.f64 c (/.f64 b a) (neg.f64 d))) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(*.f64 a (fma.f64 c (/.f64 b a) (neg.f64 d))) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(*.f64 a (fma.f64 c (/.f64 b a) (neg.f64 d))) |
| 5 232× | lower-/.f32 |
| 5 218× | lower-/.f64 |
| 3 878× | lower-*.f32 |
| 3 870× | lower-*.f64 |
| 3 256× | lower-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 197 |
| 0 | 50 | 199 |
| 1 | 223 | 185 |
| 2 | 1711 | 185 |
| 0 | 8216 | 185 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) |
(neg.f64 a) |
(/.f64 d (fma.f64 d d (*.f64 c c))) |
(fma.f64 d d (*.f64 c c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
(/.f64 b c) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) |
(/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
(*.f64 d a) |
(neg.f64 (fma.f64 d d (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) |
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) |
(-.f64 b (/.f64 (*.f64 d a) c)) |
(/.f64 (*.f64 d a) c) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (-.f64 (*.f64 c b) (*.f64 d a))) |
(/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) |
(*.f64 c c) |
(/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) |
(-.f64 (*.f64 c b) (*.f64 d a)) |
| Outputs |
|---|
(+.f64 (/.f64 (*.f64 c b) (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 a d) (neg.f64 (fma.f64 c c (*.f64 d d))))) |
(+.f64 (/.f64 (*.f64 c b) (fma.f64 c c (*.f64 d d))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) (neg.f64 (*.f64 a d)))) |
(+.f64 (/.f64 (*.f64 a d) (neg.f64 (fma.f64 c c (*.f64 d d)))) (/.f64 (*.f64 c b) (fma.f64 c c (*.f64 d d)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 c c (*.f64 d d)) (-.f64 (*.f64 c b) (*.f64 a d)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (*.f64 c b) (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d)))) |
(-.f64 (/.f64 (/.f64 (*.f64 a (*.f64 d (*.f64 a d))) (*.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 c c (*.f64 d d)))) (/.f64 (-.f64 (neg.f64 (*.f64 a d)) (*.f64 c b)) (fma.f64 c c (*.f64 d d)))) (/.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 c b))) (*.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 c c (*.f64 d d)))) (/.f64 (-.f64 (neg.f64 (*.f64 a d)) (*.f64 c b)) (fma.f64 c c (*.f64 d d))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 c c (*.f64 d d)))) (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (neg.f64 (fma.f64 c c (*.f64 d d))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b)))) (fma.f64 (*.f64 a d) (fma.f64 c b (*.f64 a d)) (*.f64 c (*.f64 b (*.f64 c b))))) (fma.f64 c c (*.f64 d d))) (/.f64 (/.f64 (*.f64 (*.f64 a d) (*.f64 a (*.f64 d (*.f64 a d)))) (fma.f64 (*.f64 a d) (fma.f64 c b (*.f64 a d)) (*.f64 c (*.f64 b (*.f64 c b))))) (fma.f64 c c (*.f64 d d)))) |
(-.f64 (/.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 c b))) (fma.f64 c b (*.f64 a d))) (fma.f64 c c (*.f64 d d))) (/.f64 (/.f64 (*.f64 a (*.f64 d (*.f64 a d))) (fma.f64 c b (*.f64 a d))) (fma.f64 c c (*.f64 d d)))) |
(-.f64 (/.f64 (*.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b)))) (*.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 (*.f64 a d) (fma.f64 c b (*.f64 a d)) (*.f64 c (*.f64 b (*.f64 c b)))))) (/.f64 (*.f64 (*.f64 a d) (*.f64 a (*.f64 d (*.f64 a d)))) (*.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 (*.f64 a d) (fma.f64 c b (*.f64 a d)) (*.f64 c (*.f64 b (*.f64 c b))))))) |
(-.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 c b))) (*.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 c b (*.f64 a d)))) (/.f64 (*.f64 a (*.f64 d (*.f64 a d))) (*.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 c b (*.f64 a d))))) |
(-.f64 (/.f64 (*.f64 (*.f64 c b) (fma.f64 c c (*.f64 d d))) (*.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 c c (*.f64 d d)))) (/.f64 (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 a d)) (*.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 c c (*.f64 d d))))) |
(-.f64 (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 c b)) (fma.f64 c c (*.f64 d d)))) (/.f64 (*.f64 (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 c b)) (*.f64 a d)) (*.f64 (/.f64 (fma.f64 c c (*.f64 d d)) (*.f64 c b)) (fma.f64 c c (*.f64 d d))))) |
(-.f64 (/.f64 (*.f64 (neg.f64 (*.f64 c b)) (fma.f64 c c (*.f64 d d))) (*.f64 (neg.f64 (fma.f64 c c (*.f64 d d))) (fma.f64 c c (*.f64 d d)))) (/.f64 (*.f64 (neg.f64 (fma.f64 c c (*.f64 d d))) (*.f64 a d)) (*.f64 (neg.f64 (fma.f64 c c (*.f64 d d))) (fma.f64 c c (*.f64 d d))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b)))) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 c c (*.f64 d d))))) (+.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 c b))) (*.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 c c (*.f64 d d)))) (+.f64 (/.f64 (*.f64 a (*.f64 d (*.f64 a d))) (*.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 c c (*.f64 d d)))) (*.f64 (/.f64 (*.f64 c b) (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d))))))) (/.f64 (/.f64 (*.f64 (*.f64 a d) (*.f64 a (*.f64 d (*.f64 a d)))) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 c c (*.f64 d d))))) (+.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 c b))) (*.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 c c (*.f64 d d)))) (+.f64 (/.f64 (*.f64 a (*.f64 d (*.f64 a d))) (*.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 c c (*.f64 d d)))) (*.f64 (/.f64 (*.f64 c b) (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d)))))))) |
(-.f64 (/.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 c b))) (*.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 c c (*.f64 d d)))) (/.f64 (-.f64 (*.f64 c b) (neg.f64 (*.f64 a d))) (fma.f64 c c (*.f64 d d)))) (/.f64 (/.f64 (*.f64 a (*.f64 d (*.f64 a d))) (*.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 c c (*.f64 d d)))) (/.f64 (-.f64 (*.f64 c b) (neg.f64 (*.f64 a d))) (fma.f64 c c (*.f64 d d))))) |
(-.f64 (/.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 c b))) (*.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 c c (*.f64 d d)))) (fma.f64 c (/.f64 b (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d))))) (/.f64 (/.f64 (*.f64 a (*.f64 d (*.f64 a d))) (*.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 c c (*.f64 d d)))) (fma.f64 c (/.f64 b (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d)))))) |
(fma.f64 a (neg.f64 (/.f64 d (fma.f64 c c (*.f64 d d)))) (/.f64 (*.f64 c b) (fma.f64 c c (*.f64 d d)))) |
(fma.f64 a (/.f64 d (neg.f64 (fma.f64 c c (*.f64 d d)))) (/.f64 (*.f64 c b) (fma.f64 c c (*.f64 d d)))) |
(fma.f64 a (*.f64 d (/.f64 #s(literal -1 binary64) (fma.f64 c c (*.f64 d d)))) (/.f64 (*.f64 c b) (fma.f64 c c (*.f64 d d)))) |
(fma.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 c b) (fma.f64 c c (*.f64 d d)))) |
(fma.f64 d (neg.f64 (/.f64 a (fma.f64 c c (*.f64 d d)))) (/.f64 (*.f64 c b) (fma.f64 c c (*.f64 d d)))) |
(fma.f64 d (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) (neg.f64 a)) (/.f64 (*.f64 c b) (fma.f64 c c (*.f64 d d)))) |
(fma.f64 c (/.f64 b (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 a d) (neg.f64 (fma.f64 c c (*.f64 d d))))) |
(fma.f64 c (/.f64 b (fma.f64 c c (*.f64 d d))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) (neg.f64 (*.f64 a d)))) |
(fma.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a) (/.f64 (*.f64 c b) (fma.f64 c c (*.f64 d d)))) |
(fma.f64 b (*.f64 c (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d)))) (/.f64 (*.f64 a d) (neg.f64 (fma.f64 c c (*.f64 d d))))) |
(fma.f64 b (*.f64 c (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) (neg.f64 (*.f64 a d)))) |
(fma.f64 b (/.f64 c (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 a d) (neg.f64 (fma.f64 c c (*.f64 d d))))) |
(fma.f64 b (/.f64 c (fma.f64 c c (*.f64 d d))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) (neg.f64 (*.f64 a d)))) |
(fma.f64 (*.f64 c b) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 a d) (neg.f64 (fma.f64 c c (*.f64 d d))))) |
(fma.f64 (*.f64 c b) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) (neg.f64 (*.f64 a d)))) |
(fma.f64 (*.f64 a d) (/.f64 #s(literal -1 binary64) (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 c b) (fma.f64 c c (*.f64 d d)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 c b) (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 a d) (neg.f64 (fma.f64 c c (*.f64 d d))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 c b) (fma.f64 c c (*.f64 d d))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) (neg.f64 (*.f64 a d)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 a d) (neg.f64 (fma.f64 c c (*.f64 d d)))) (/.f64 (*.f64 c b) (fma.f64 c c (*.f64 d d)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) (*.f64 c b) (/.f64 (*.f64 a d) (neg.f64 (fma.f64 c c (*.f64 d d))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) (*.f64 c b) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) (neg.f64 (*.f64 a d)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 c b)) #s(literal -1 binary64)) (/.f64 (*.f64 a d) (neg.f64 (fma.f64 c c (*.f64 d d))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 c b)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) (neg.f64 (*.f64 a d)))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 c b) (fma.f64 c c (*.f64 d d)))) |
(fma.f64 (neg.f64 (*.f64 a d)) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 c b) (fma.f64 c c (*.f64 d d)))) |
(fma.f64 (neg.f64 (*.f64 c b)) (/.f64 #s(literal -1 binary64) (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 a d) (neg.f64 (fma.f64 c c (*.f64 d d))))) |
(fma.f64 (neg.f64 (*.f64 c b)) (/.f64 #s(literal -1 binary64) (fma.f64 c c (*.f64 d d))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) (neg.f64 (*.f64 a d)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 c c (*.f64 d d))) (*.f64 a d) (/.f64 (*.f64 c b) (fma.f64 c c (*.f64 d d)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 c c (*.f64 d d))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 a d)) #s(literal -1 binary64)) (/.f64 (*.f64 c b) (fma.f64 c c (*.f64 d d)))) |
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (/.f64 (*.f64 a d) (neg.f64 (fma.f64 c c (*.f64 d d))))) |
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) (neg.f64 (*.f64 a d)))) |
(fma.f64 (neg.f64 (/.f64 a (fma.f64 c c (*.f64 d d)))) d (/.f64 (*.f64 c b) (fma.f64 c c (*.f64 d d)))) |
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(fma.f64 d d (*.f64 c c)) |
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(fma.f64 (exp.f64 (log.f64 c)) (exp.f64 (log.f64 c)) (*.f64 d d)) |
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#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
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(/.f64 (neg.f64 (*.f64 (fma.f64 c b (*.f64 a d)) (-.f64 (*.f64 c b) (*.f64 a d)))) (neg.f64 (fma.f64 c b (*.f64 a d)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 c b (*.f64 a d)) (-.f64 (*.f64 c b) (*.f64 a d)))) (neg.f64 (-.f64 (*.f64 c b) (neg.f64 (*.f64 a d))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b)))) (fma.f64 (*.f64 a d) (fma.f64 c b (*.f64 a d)) (*.f64 c (*.f64 b (*.f64 c b))))) (*.f64 (fma.f64 (*.f64 a d) (fma.f64 c b (*.f64 a d)) (*.f64 c (*.f64 b (*.f64 c b)))) (*.f64 (*.f64 a d) (*.f64 a (*.f64 d (*.f64 a d)))))) (*.f64 (fma.f64 (*.f64 a d) (fma.f64 c b (*.f64 a d)) (*.f64 c (*.f64 b (*.f64 c b)))) (fma.f64 (*.f64 a d) (fma.f64 c b (*.f64 a d)) (*.f64 c (*.f64 b (*.f64 c b)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 c (*.f64 b (*.f64 c b))) (fma.f64 c b (*.f64 a d))) (*.f64 (fma.f64 c b (*.f64 a d)) (*.f64 a (*.f64 d (*.f64 a d))))) (*.f64 (fma.f64 c b (*.f64 a d)) (fma.f64 c b (*.f64 a d)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b)))) (*.f64 (*.f64 a d) (*.f64 a (*.f64 d (*.f64 a d))))))) (neg.f64 (fma.f64 (*.f64 a d) (fma.f64 c b (*.f64 a d)) (*.f64 c (*.f64 b (*.f64 c b)))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 c b (*.f64 a d)) (-.f64 (*.f64 c b) (*.f64 a d))))) (neg.f64 (fma.f64 c b (*.f64 a d)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b)))) (*.f64 (*.f64 a d) (*.f64 a (*.f64 d (*.f64 a d))))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 a d) (fma.f64 c b (*.f64 a d)) (*.f64 c (*.f64 b (*.f64 c b))))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 c b (*.f64 a d)) (-.f64 (*.f64 c b) (*.f64 a d))))) (neg.f64 (neg.f64 (fma.f64 c b (*.f64 a d))))) |
(pow.f64 (/.f64 (fma.f64 (*.f64 a d) (fma.f64 c b (*.f64 a d)) (*.f64 c (*.f64 b (*.f64 c b)))) (-.f64 (*.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b)))) (*.f64 (*.f64 a d) (*.f64 a (*.f64 d (*.f64 a d)))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 c b (*.f64 a d)) (*.f64 (fma.f64 c b (*.f64 a d)) (-.f64 (*.f64 c b) (*.f64 a d)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 (*.f64 c b) (*.f64 a d))) |
(*.f64 (-.f64 (*.f64 c b) (*.f64 a d)) #s(literal 1 binary64)) |
(*.f64 (-.f64 (*.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b)))) (*.f64 (*.f64 a d) (*.f64 a (*.f64 d (*.f64 a d))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a d) (fma.f64 c b (*.f64 a d)) (*.f64 c (*.f64 b (*.f64 c b)))))) |
(*.f64 (*.f64 (fma.f64 c b (*.f64 a d)) (-.f64 (*.f64 c b) (*.f64 a d))) (/.f64 #s(literal 1 binary64) (fma.f64 c b (*.f64 a d)))) |
Compiled 73 015 to 3 425 computations (95.3% saved)
18 alts after pruning (16 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 415 | 10 | 2 425 |
| Fresh | 2 | 6 | 8 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 420 | 18 | 2 438 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 57.9% | (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) |
| 29.8% | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| 36.2% | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| 57.8% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (-.f64 (*.f64 c b) (*.f64 d a)))) | |
| 53.3% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c)) | |
| ▶ | 53.5% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) |
| 54.2% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) | |
| ✓ | 35.2% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) |
| ▶ | 21.1% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) |
| 19.7% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) | |
| 39.6% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) | |
| ▶ | 21.4% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) c)) |
| ✓ | 41.8% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
| ▶ | 42.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d))) |
| 41.6% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) | |
| 37.3% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a))) | |
| 41.7% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b)) | |
| 40.8% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d))))) |
Compiled 482 to 280 computations (41.9% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 b d) | |
| cost-diff | 0 | (fma.f64 c (/.f64 b d) (neg.f64 a)) | |
| cost-diff | 0 | (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) | |
| cost-diff | 0 | (/.f64 (*.f64 d (neg.f64 a)) c) | |
| cost-diff | 0 | #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) | |
| cost-diff | 0 | (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) c) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) c)) | |
| cost-diff | 0 | (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))) | |
| cost-diff | 0 | (*.f64 d a) | |
| cost-diff | 0 | (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d)))) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) | |
| cost-diff | 0 | (neg.f64 d) | |
| cost-diff | 0 | (/.f64 a (neg.f64 d)) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d))) | |
| cost-diff | 0 | (*.f64 a d) | |
| cost-diff | 0 | (*.f64 c b) | |
| cost-diff | 0 | (-.f64 (*.f64 c b) (*.f64 a d)) | |
| cost-diff | 0 | (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) |
| 1 848× | lower-fma.f32 |
| 1 844× | lower-fma.f64 |
| 1 320× | lower-*.f32 |
| 1 310× | lower-*.f64 |
| 1 044× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 270 |
| 0 | 59 | 266 |
| 1 | 100 | 266 |
| 2 | 171 | 266 |
| 3 | 300 | 266 |
| 4 | 461 | 266 |
| 5 | 779 | 266 |
| 6 | 1254 | 266 |
| 7 | 3015 | 266 |
| 8 | 3936 | 266 |
| 9 | 4175 | 266 |
| 10 | 4219 | 266 |
| 11 | 4242 | 266 |
| 12 | 4258 | 266 |
| 13 | 4275 | 266 |
| 14 | 4471 | 266 |
| 15 | 4551 | 266 |
| 16 | 4551 | 266 |
| 17 | 4551 | 266 |
| 0 | 4551 | 266 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) |
(-.f64 (*.f64 c b) (*.f64 a d)) |
(*.f64 c b) |
c |
b |
(*.f64 a d) |
a |
d |
(fma.f64 c c (*.f64 d d)) |
(*.f64 d d) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d))) |
(/.f64 a (neg.f64 d)) |
a |
(neg.f64 d) |
d |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) |
(/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d)))) |
(*.f64 d a) |
d |
a |
(neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))) |
#s(approx (+ (* d d) (* c c)) (*.f64 d d)) |
(*.f64 d d) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) c)) |
(/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) c) |
#s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) |
(/.f64 (*.f64 d (neg.f64 a)) c) |
(*.f64 d (neg.f64 a)) |
d |
(neg.f64 a) |
a |
c |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) |
(/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d) |
(fma.f64 c (/.f64 b d) (neg.f64 a)) |
c |
(/.f64 b d) |
b |
d |
(neg.f64 a) |
a |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) |
(/.f64 (fma.f64 c b (*.f64 a (neg.f64 d))) (fma.f64 c c (*.f64 d d))) |
(-.f64 (*.f64 c b) (*.f64 a d)) |
(fma.f64 c b (*.f64 a (neg.f64 d))) |
(*.f64 c b) |
c |
b |
(*.f64 a d) |
a |
d |
(fma.f64 c c (*.f64 d d)) |
(*.f64 d d) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d))) |
(/.f64 a (neg.f64 d)) |
a |
(neg.f64 d) |
d |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 a (neg.f64 d)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))) |
(/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d)))) |
(/.f64 (*.f64 a (neg.f64 d)) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) |
(*.f64 d a) |
(*.f64 a d) |
d |
a |
(neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))) |
#s(approx (+ (* d d) (* c c)) (*.f64 d d)) |
(*.f64 d d) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 a d) (neg.f64 c))) c)) |
(/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) c) |
(/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 a d) (neg.f64 c))) c) |
#s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) |
#s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 a d) (neg.f64 c))) |
(/.f64 (*.f64 d (neg.f64 a)) c) |
(/.f64 (*.f64 a d) (neg.f64 c)) |
(*.f64 d (neg.f64 a)) |
(*.f64 a (neg.f64 d)) |
d |
(neg.f64 a) |
a |
c |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) |
(/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d) |
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) |
(fma.f64 c (/.f64 b d) (neg.f64 a)) |
(-.f64 (/.f64 (*.f64 c b) d) a) |
c |
(/.f64 b d) |
b |
d |
(neg.f64 a) |
a |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (neg.f64 a) | |
| accuracy | 1.4287155759824952 | (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d) | |
| accuracy | 1.4686900518422306 | (fma.f64 c (/.f64 b d) (neg.f64 a)) | |
| accuracy | 29.712885477043613 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) | |
| accuracy | 0.06640625 | (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) c) | |
| accuracy | 6.346346857892471 | (/.f64 (*.f64 d (neg.f64 a)) c) | |
| accuracy | 29.17207257398674 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) c)) | |
| accuracy | 29.959137296554186 | #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) | |
| accuracy | 0 | (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))) | |
| accuracy | 22.613408211191462 | (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d)))) | |
| accuracy | 25.629998603834373 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) | |
| accuracy | 27.04100528319832 | #s(approx (+ (* d d) (* c c)) (*.f64 d d)) | |
| accuracy | 0 | (/.f64 a (neg.f64 d)) | |
| accuracy | 0 | (neg.f64 d) | |
| accuracy | 37.09723303129607 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d))) | |
| accuracy | 0 | (*.f64 a d) | |
| accuracy | 0.00390625 | (fma.f64 c c (*.f64 d d)) | |
| accuracy | 1.4960896216604118 | (-.f64 (*.f64 c b) (*.f64 a d)) | |
| accuracy | 26.63536640934182 | (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) |
| 75.0ms | 256× | 0 | valid |
Compiled 205 to 32 computations (84.4% saved)
ival-div: 14.0ms (39.4% of total)ival-mult: 12.0ms (33.8% of total)ival-sub: 3.0ms (8.5% of total)ival-add: 3.0ms (8.5% of total)ival-neg: 3.0ms (8.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 c b) (*.f64 a d)) (patch (-.f64 (*.f64 c b) (*.f64 a d)) #<representation binary64>) () ()) |
#s(alt (*.f64 c b) (patch (*.f64 c b) #<representation binary64>) () ()) |
#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d))) #<representation binary64>) () ()) |
#s(alt (/.f64 a (neg.f64 d)) (patch (/.f64 a (neg.f64 d)) #<representation binary64>) () ()) |
#s(alt (neg.f64 d) (patch (neg.f64 d) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d)))) (patch (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d)))) #<representation binary64>) () ()) |
#s(alt (*.f64 d a) (patch (*.f64 d a) #<representation binary64>) () ()) |
#s(alt (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))) (patch (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) c)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) c) (patch (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) c) #<representation binary64>) () ()) |
#s(alt #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) (patch #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 d (neg.f64 a)) c) (patch (/.f64 (*.f64 d (neg.f64 a)) c) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d) (patch (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d) #<representation binary64>) () ()) |
#s(alt (fma.f64 c (/.f64 b d) (neg.f64 a)) (patch (fma.f64 c (/.f64 b d) (neg.f64 a)) #<representation binary64>) () ()) |
#s(alt (/.f64 b d) (patch (/.f64 b d) #<representation binary64>) () ()) |
#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 d d)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 d d)) #<representation binary64>) () ()) |
#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (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 c 2) (taylor 0 d) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 d d)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 d) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 d d)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 d) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 d d)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 d) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 d d)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (pow d 2) (taylor inf d) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 d d)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor inf d) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 d d)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor inf d) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 d d)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor inf d) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 d d)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (pow d 2) (taylor -inf d) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 d d)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 d d)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 d d)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 d d)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (pow d 2) (taylor 0 c) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 d d)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 d d)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 d d)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 d d)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (pow c 2) (taylor inf c) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 d d)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor inf c) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 d d)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor inf c) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 d d)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor inf c) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 d d)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (pow c 2) (taylor -inf c) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 d d)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor -inf c) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 d d)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor -inf c) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 d d)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor -inf c) (#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 d d)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 a) (taylor 0 a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 a) (taylor 0 a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 a) (taylor 0 a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 a) (taylor 0 a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 a) (taylor inf a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 a) (taylor inf a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 a) (taylor inf a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 a) (taylor inf a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 a) (taylor -inf a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 a) (taylor -inf a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 a) (taylor -inf a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ()) |
#s(alt (* -1 a) (taylor -inf a) (#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ())) ()) |
192 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | d | @ | -inf | (/ (+ (* c (/ b d)) (neg a)) d) |
| 1.0ms | a | @ | 0 | (/ a (neg d)) |
| 0.0ms | a | @ | 0 | (/ (+ (* c (/ b d)) (neg a)) d) |
| 0.0ms | b | @ | inf | (/ (+ (* c (/ b d)) (neg a)) d) |
| 0.0ms | b | @ | -inf | (/ (+ (* c (/ b d)) (neg a)) d) |
| 1× | egg-herbie |
| 12 112× | lower-fma.f64 |
| 12 112× | lower-fma.f32 |
| 5 264× | lower-*.f64 |
| 5 264× | lower-*.f32 |
| 2 808× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 388 | 8594 |
| 1 | 1259 | 8244 |
| 2 | 3975 | 8120 |
| 0 | 8320 | 7764 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(/ 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)) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(/ 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) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(* b c) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(* -1 (* a d)) |
(- (* b c) (* a d)) |
(- (* b c) (* a d)) |
(- (* b c) (* a d)) |
(* b c) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(* b c) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(* b c) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(* -1 (* a d)) |
(* 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) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a 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)) |
(* -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 d) |
(* -1 d) |
(* -1 d) |
(* -1 d) |
(* -1 d) |
(* -1 d) |
(* -1 d) |
(* -1 d) |
(* -1 d) |
(* -1 d) |
(* -1 d) |
(* -1 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) |
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(* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2)))) |
(/ (* b c) (pow d 2)) |
(* -1 (* c (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))) |
(* -1 (* c (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))) |
(* -1 (* c (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/ (* b c) (pow d 2)) |
(* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2)))) |
(* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2)))) |
(* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2)))) |
(/ (* b c) (pow d 2)) |
(* -1 (* b (+ (* -1 (/ c (pow d 2))) (/ a (* b d))))) |
(* -1 (* b (+ (* -1 (/ c (pow d 2))) (/ a (* b d))))) |
(* -1 (* b (+ (* -1 (/ c (pow d 2))) (/ a (* b d))))) |
(/ (* b c) (pow d 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow d 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow d 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow d 2)) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/ (* b c) (pow d 2)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(* -1 (/ a d)) |
(* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d))) |
(* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d))) |
(* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d))) |
(* -1 (/ a d)) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (/ 1 d)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (/ 1 d)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (/ 1 d)))) |
(* -1 a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(/ (* b c) d) |
(* c (+ (* -1 (/ a c)) (/ b d))) |
(* c (+ (* -1 (/ a c)) (/ b d))) |
(* c (+ (* -1 (/ a c)) (/ b d))) |
(/ (* b c) d) |
(* -1 (* c (+ (* -1 (/ b d)) (/ a c)))) |
(* -1 (* c (+ (* -1 (/ b d)) (/ a c)))) |
(* -1 (* c (+ (* -1 (/ b d)) (/ a c)))) |
(* -1 a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(/ (* b c) d) |
(* b (+ (* -1 (/ a b)) (/ c d))) |
(* b (+ (* -1 (/ a b)) (/ c d))) |
(* b (+ (* -1 (/ a b)) (/ c d))) |
(/ (* b c) d) |
(* -1 (* b (+ (* -1 (/ c d)) (/ a b)))) |
(* -1 (* b (+ (* -1 (/ c d)) (/ a b)))) |
(* -1 (* b (+ (* -1 (/ c d)) (/ a b)))) |
(/ (* b c) d) |
(/ (+ (* -1 (* a d)) (* b c)) d) |
(/ (+ (* -1 (* a d)) (* b c)) d) |
(/ (+ (* -1 (* a d)) (* b c)) d) |
(* -1 a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(* -1 a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(/ (* b c) d) |
(+ (* -1 a) (/ (* b c) d)) |
(+ (* -1 a) (/ (* b c) d)) |
(+ (* -1 a) (/ (* b c) d)) |
(* -1 a) |
(* a (- (/ (* b c) (* a d)) 1)) |
(* a (- (/ (* b c) (* a d)) 1)) |
(* a (- (/ (* b c) (* a d)) 1)) |
(* -1 a) |
(* -1 (* a (+ 1 (* -1 (/ (* b c) (* a d)))))) |
(* -1 (* a (+ 1 (* -1 (/ (* b c) (* a d)))))) |
(* -1 (* a (+ 1 (* -1 (/ (* b c) (* a d)))))) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b 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)))) |
(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)))) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
| Outputs |
|---|
(* -1 (/ a d)) |
(/.f64 a (neg.f64 d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (-.f64 (*.f64 c (/.f64 b d)) a) d) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(fma.f64 (/.f64 a d) (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64)) (*.f64 b (/.f64 c (*.f64 d d)))) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(fma.f64 c (fma.f64 c (fma.f64 (neg.f64 b) (/.f64 c (*.f64 (*.f64 d d) (*.f64 d d))) (/.f64 a (*.f64 d (*.f64 d d)))) (/.f64 b (*.f64 d d))) (/.f64 a (neg.f64 d))) |
(/ b c) |
(/.f64 b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/.f64 (fma.f64 a (neg.f64 d) (*.f64 b c)) (*.f64 c c)) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(neg.f64 (/.f64 (-.f64 (/.f64 (fma.f64 a d (/.f64 (*.f64 b (*.f64 d d)) c)) c) b) c)) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(/.f64 (fma.f64 b (fma.f64 (neg.f64 d) (/.f64 d (*.f64 c c)) #s(literal 1 binary64)) (*.f64 (/.f64 a c) (-.f64 (/.f64 (*.f64 d (*.f64 d d)) (*.f64 c c)) d))) c) |
(/ b c) |
(/.f64 b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(/.f64 (fma.f64 a (neg.f64 d) (*.f64 b c)) (*.f64 c c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(neg.f64 (/.f64 (-.f64 (/.f64 (fma.f64 a d (/.f64 (*.f64 b (*.f64 d d)) c)) 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 (-.f64 (/.f64 (fma.f64 a d (/.f64 (-.f64 (*.f64 b (*.f64 d d)) (/.f64 (*.f64 a (*.f64 d (*.f64 d d))) c)) c)) c) b) (neg.f64 c)) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(/.f64 (*.f64 a d) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(-.f64 (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c)))) (/.f64 (*.f64 a d) (fma.f64 d d (*.f64 c c)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(-.f64 (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c)))) (/.f64 (*.f64 a d) (fma.f64 d d (*.f64 c c)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(-.f64 (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c)))) (/.f64 (*.f64 a d) (fma.f64 d d (*.f64 c c)))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c)))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(*.f64 b (-.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a d) (*.f64 b (fma.f64 d d (*.f64 c c)))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(*.f64 b (-.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a d) (*.f64 b (fma.f64 d d (*.f64 c c)))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(*.f64 b (-.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a d) (*.f64 b (fma.f64 d d (*.f64 c c)))))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c)))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(*.f64 b (-.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a d) (*.f64 b (fma.f64 d d (*.f64 c c)))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(*.f64 b (-.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a d) (*.f64 b (fma.f64 d d (*.f64 c c)))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(*.f64 b (-.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 a d) (*.f64 b (fma.f64 d d (*.f64 c c)))))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(-.f64 (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c)))) (/.f64 (*.f64 a d) (fma.f64 d d (*.f64 c c)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(-.f64 (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c)))) (/.f64 (*.f64 a d) (fma.f64 d d (*.f64 c c)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(-.f64 (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c)))) (/.f64 (*.f64 a d) (fma.f64 d d (*.f64 c c)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(/.f64 (*.f64 a d) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 a (-.f64 (/.f64 (*.f64 b c) (*.f64 a (fma.f64 d d (*.f64 c c)))) (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 a (-.f64 (/.f64 (*.f64 b c) (*.f64 a (fma.f64 d d (*.f64 c c)))) (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 a (-.f64 (/.f64 (*.f64 b c) (*.f64 a (fma.f64 d d (*.f64 c c)))) (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(/.f64 (*.f64 a d) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(*.f64 a (-.f64 (/.f64 (*.f64 b c) (*.f64 a (fma.f64 d d (*.f64 c c)))) (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(*.f64 a (-.f64 (/.f64 (*.f64 b c) (*.f64 a (fma.f64 d d (*.f64 c c)))) (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(*.f64 a (-.f64 (/.f64 (*.f64 b c) (*.f64 a (fma.f64 d d (*.f64 c c)))) (/.f64 d (fma.f64 d d (*.f64 c c))))) |
(/ b c) |
(/.f64 b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(/.f64 (fma.f64 a (neg.f64 d) (*.f64 b c)) (*.f64 c c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(neg.f64 (/.f64 (-.f64 (/.f64 (fma.f64 a d (/.f64 (*.f64 b (*.f64 d d)) c)) c) b) c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(fma.f64 (*.f64 d d) (-.f64 (/.f64 (*.f64 a d) (*.f64 (*.f64 c c) (*.f64 c c))) (/.f64 b (*.f64 c (*.f64 c c)))) (/.f64 (fma.f64 a (neg.f64 d) (*.f64 b c)) (*.f64 c c))) |
(* -1 (/ a d)) |
(/.f64 a (neg.f64 d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/.f64 (-.f64 (*.f64 c (/.f64 b d)) a) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/.f64 (fma.f64 a (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64)) (*.f64 c (/.f64 b d))) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(/.f64 (fma.f64 a (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal -1 binary64)) (*.f64 (/.f64 b d) (-.f64 c (/.f64 (*.f64 c (*.f64 c c)) (*.f64 d d))))) d) |
(* -1 (/ a d)) |
(/.f64 a (neg.f64 d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (-.f64 (*.f64 c (/.f64 b d)) a) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 a (/.f64 (*.f64 c c) d) (*.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 a (*.f64 c c) (neg.f64 (/.f64 (*.f64 b (*.f64 c (*.f64 c c))) d))) d)) d) a) d) |
(* -1 (* a d)) |
(neg.f64 (*.f64 a d)) |
(- (* b c) (* a d)) |
(fma.f64 a (neg.f64 d) (*.f64 b c)) |
(- (* b c) (* a d)) |
(fma.f64 a (neg.f64 d) (*.f64 b c)) |
(- (* b c) (* a d)) |
(fma.f64 a (neg.f64 d) (*.f64 b c)) |
(* b c) |
(*.f64 b c) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(*.f64 c (-.f64 b (/.f64 (*.f64 a d) c))) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(*.f64 c (-.f64 b (/.f64 (*.f64 a d) c))) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(*.f64 c (-.f64 b (/.f64 (*.f64 a d) c))) |
(* b c) |
(*.f64 b c) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(*.f64 c (-.f64 b (/.f64 (*.f64 a d) c))) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(*.f64 c (-.f64 b (/.f64 (*.f64 a d) c))) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(*.f64 c (-.f64 b (/.f64 (*.f64 a d) c))) |
(* -1 (* a d)) |
(neg.f64 (*.f64 a d)) |
(- (* b c) (* a d)) |
(fma.f64 a (neg.f64 d) (*.f64 b c)) |
(- (* b c) (* a d)) |
(fma.f64 a (neg.f64 d) (*.f64 b c)) |
(- (* b c) (* a d)) |
(fma.f64 a (neg.f64 d) (*.f64 b c)) |
(* b c) |
(*.f64 b c) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(*.f64 b (-.f64 c (/.f64 (*.f64 a d) b))) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(*.f64 b (-.f64 c (/.f64 (*.f64 a d) b))) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(*.f64 b (-.f64 c (/.f64 (*.f64 a d) b))) |
(* b c) |
(*.f64 b c) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(*.f64 b (-.f64 c (/.f64 (*.f64 a d) b))) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(*.f64 b (-.f64 c (/.f64 (*.f64 a d) b))) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(*.f64 b (-.f64 c (/.f64 (*.f64 a d) b))) |
(* b c) |
(*.f64 b c) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 a (neg.f64 d) (*.f64 b c)) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 a (neg.f64 d) (*.f64 b c)) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 a (neg.f64 d) (*.f64 b c)) |
(* -1 (* a d)) |
(neg.f64 (*.f64 a d)) |
(* a (- (/ (* b c) a) d)) |
(*.f64 a (-.f64 (/.f64 (*.f64 b c) a) d)) |
(* a (- (/ (* b c) a) d)) |
(*.f64 a (-.f64 (/.f64 (*.f64 b c) a) d)) |
(* a (- (/ (* b c) a) d)) |
(*.f64 a (-.f64 (/.f64 (*.f64 b c) a) d)) |
(* -1 (* a d)) |
(neg.f64 (*.f64 a d)) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(*.f64 a (-.f64 (/.f64 (*.f64 b c) a) d)) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(*.f64 a (-.f64 (/.f64 (*.f64 b c) a) d)) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(*.f64 a (-.f64 (/.f64 (*.f64 b c) a) d)) |
(* b c) |
(*.f64 b c) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 a (neg.f64 d) (*.f64 b c)) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 a (neg.f64 d) (*.f64 b c)) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 a (neg.f64 d) (*.f64 b c)) |
(* -1 (* a d)) |
(neg.f64 (*.f64 a d)) |
(* d (- (/ (* b c) d) a)) |
(*.f64 d (-.f64 (*.f64 c (/.f64 b d)) a)) |
(* d (- (/ (* b c) d) a)) |
(*.f64 d (-.f64 (*.f64 c (/.f64 b d)) a)) |
(* d (- (/ (* b c) d) a)) |
(*.f64 d (-.f64 (*.f64 c (/.f64 b d)) a)) |
(* -1 (* a d)) |
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(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(pow d 2) |
(*.f64 d d) |
(+ (pow 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 (*.f64 c (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 c (*.f64 c (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 c (*.f64 c (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64)))) |
(pow c 2) |
(*.f64 c c) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 c (*.f64 c (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 c (*.f64 c (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 c (*.f64 c (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64)))) |
(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 d (/.f64 (*.f64 c c) (*.f64 d d)) d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 d (fma.f64 d (/.f64 (*.f64 c c) (*.f64 d d)) d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 d (fma.f64 d (/.f64 (*.f64 c c) (*.f64 d d)) d)) |
(pow d 2) |
(*.f64 d d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 d (fma.f64 d (/.f64 (*.f64 c c) (*.f64 d d)) d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 d (fma.f64 d (/.f64 (*.f64 c c) (*.f64 d d)) d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 d (fma.f64 d (/.f64 (*.f64 c c) (*.f64 d d)) d)) |
(pow c 2) |
(*.f64 c c) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 d d (*.f64 c c)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 d d (*.f64 c c)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 d d (*.f64 c c)) |
(pow d 2) |
(*.f64 d d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 d (fma.f64 d (/.f64 (*.f64 c c) (*.f64 d d)) d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 d (fma.f64 d (/.f64 (*.f64 c c) (*.f64 d d)) d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 d (fma.f64 d (/.f64 (*.f64 c c) (*.f64 d d)) d)) |
(pow d 2) |
(*.f64 d d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 d (fma.f64 d (/.f64 (*.f64 c c) (*.f64 d d)) d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 d (fma.f64 d (/.f64 (*.f64 c c) (*.f64 d d)) d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 d (fma.f64 d (/.f64 (*.f64 c c) (*.f64 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 (*.f64 c (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 c (*.f64 c (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 c (*.f64 c (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64)))) |
(pow c 2) |
(*.f64 c c) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 c (*.f64 c (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 c (*.f64 c (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 c (*.f64 c (fma.f64 d (/.f64 d (*.f64 c c)) #s(literal 1 binary64)))) |
(* -1 a) |
(neg.f64 a) |
(* -1 a) |
(neg.f64 a) |
(* -1 a) |
(neg.f64 a) |
(* -1 a) |
(neg.f64 a) |
(* -1 a) |
(neg.f64 a) |
(* -1 a) |
(neg.f64 a) |
(* -1 a) |
(neg.f64 a) |
(* -1 a) |
(neg.f64 a) |
(* -1 a) |
(neg.f64 a) |
(* -1 a) |
(neg.f64 a) |
(* -1 a) |
(neg.f64 a) |
(* -1 a) |
(neg.f64 a) |
| 5 022× | lower-fma.f32 |
| 5 018× | lower-fma.f64 |
| 4 988× | lower-/.f32 |
| 4 974× | lower-/.f64 |
| 4 486× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 243 |
| 0 | 59 | 239 |
| 1 | 232 | 239 |
| 2 | 1464 | 239 |
| 0 | 8191 | 239 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) |
(-.f64 (*.f64 c b) (*.f64 a d)) |
(*.f64 c b) |
(*.f64 a d) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d))) |
(/.f64 a (neg.f64 d)) |
(neg.f64 d) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) |
(/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d)))) |
(*.f64 d a) |
(neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) c)) |
(/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) c) |
#s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) |
(/.f64 (*.f64 d (neg.f64 a)) c) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) |
(/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d) |
(fma.f64 c (/.f64 b d) (neg.f64 a)) |
(/.f64 b d) |
(fma.f64 c c (*.f64 d d)) |
#s(approx (+ (* d d) (* c c)) (*.f64 d d)) |
(neg.f64 a) |
| Outputs |
|---|
(+.f64 (/.f64 (*.f64 c b) (fma.f64 c c (*.f64 d d))) (neg.f64 (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a (neg.f64 d) (*.f64 c b)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (*.f64 c b) (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 a (neg.f64 d) (*.f64 c b)) (neg.f64 (fma.f64 c c (*.f64 d d))))) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (fma.f64 a (neg.f64 d) (*.f64 c b))) (fma.f64 c c (*.f64 d d)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b)))) (fma.f64 (*.f64 a d) (fma.f64 c b (*.f64 a d)) (*.f64 c (*.f64 b (*.f64 c b))))) (fma.f64 c c (*.f64 d d))) (/.f64 (/.f64 (*.f64 (*.f64 a d) (*.f64 a (*.f64 d (*.f64 a d)))) (fma.f64 (*.f64 a d) (fma.f64 c b (*.f64 a d)) (*.f64 c (*.f64 b (*.f64 c b))))) (fma.f64 c c (*.f64 d d)))) |
(-.f64 (/.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 c b))) (fma.f64 c b (*.f64 a d))) (fma.f64 c c (*.f64 d d))) (/.f64 (/.f64 (*.f64 a (*.f64 d (*.f64 a d))) (fma.f64 c b (*.f64 a d))) (fma.f64 c c (*.f64 d d)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 c c (*.f64 d d)))) (/.f64 (fma.f64 a (neg.f64 d) (*.f64 c b)) (neg.f64 (fma.f64 c c (*.f64 d d))))) |
(-.f64 (/.f64 (*.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b)))) (*.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 (*.f64 a d) (fma.f64 c b (*.f64 a d)) (*.f64 c (*.f64 b (*.f64 c b)))))) (/.f64 (*.f64 (*.f64 a d) (*.f64 a (*.f64 d (*.f64 a d)))) (*.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 (*.f64 a d) (fma.f64 c b (*.f64 a d)) (*.f64 c (*.f64 b (*.f64 c b))))))) |
(-.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 c b))) (*.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 c b (*.f64 a d)))) (/.f64 (*.f64 a (*.f64 d (*.f64 a d))) (*.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 c b (*.f64 a d))))) |
(-.f64 (/.f64 (*.f64 (*.f64 c b) (fma.f64 c c (*.f64 d d))) (*.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 c c (*.f64 d d)))) (/.f64 (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 a d)) (*.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 c c (*.f64 d d))))) |
(-.f64 (/.f64 (*.f64 (/.f64 (*.f64 c b) (fma.f64 c c (*.f64 d d))) (*.f64 (/.f64 (*.f64 c b) (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 c b) (fma.f64 c c (*.f64 d d))))) (fma.f64 (/.f64 (*.f64 c b) (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 c b) (fma.f64 c c (*.f64 d d))) (fma.f64 (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d))) (*.f64 (/.f64 (*.f64 c b) (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d))))))) (/.f64 (*.f64 (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d))) (*.f64 (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d))))) (fma.f64 (/.f64 (*.f64 c b) (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 c b) (fma.f64 c c (*.f64 d d))) (fma.f64 (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d))) (*.f64 (/.f64 (*.f64 c b) (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d)))))))) |
(-.f64 (/.f64 (*.f64 (/.f64 (*.f64 c b) (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 c b) (fma.f64 c c (*.f64 d d)))) (fma.f64 c (/.f64 b (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d))))) (/.f64 (*.f64 (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d)))) (fma.f64 c (/.f64 b (fma.f64 c c (*.f64 d d))) (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d)))))) |
(fma.f64 c (/.f64 b (fma.f64 c c (*.f64 d d))) (neg.f64 (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d))))) |
(fma.f64 b (/.f64 c (fma.f64 c c (*.f64 d d))) (neg.f64 (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d))))) |
(fma.f64 (*.f64 c b) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d d))) (neg.f64 (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 c b) (fma.f64 c c (*.f64 d d))) (neg.f64 (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d))))) |
(fma.f64 (neg.f64 (*.f64 c b)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 c c (*.f64 d d)))) (neg.f64 (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d))))) |
(fma.f64 (/.f64 (*.f64 c b) (fma.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c c))))) (fma.f64 c (*.f64 c (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)))) (neg.f64 (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d))))) |
(fma.f64 (/.f64 (*.f64 c b) (fma.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c c))))) (fma.f64 d (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)))) (neg.f64 (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d))))) |
(fma.f64 (/.f64 (*.f64 c b) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) (*.f64 (+.f64 c d) (-.f64 c d)) (neg.f64 (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d))))) |
(fma.f64 (/.f64 (*.f64 c b) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 d c) (-.f64 d c)))) (*.f64 (+.f64 d c) (-.f64 d c)) (neg.f64 (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d))))) |
(fma.f64 (/.f64 c (fma.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c c))))) (/.f64 b (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 c (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)))))) (neg.f64 (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d))))) |
(fma.f64 (/.f64 c (fma.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c c))))) (/.f64 b (/.f64 #s(literal 1 binary64) (fma.f64 d (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)))))) (neg.f64 (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d))))) |
(fma.f64 (/.f64 c (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 b (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 c d) (-.f64 c d)))) (neg.f64 (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d))))) |
(fma.f64 (/.f64 c (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 b (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 d c) (-.f64 d c)))) (neg.f64 (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d))))) |
(fma.f64 (/.f64 b (fma.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c c))))) (/.f64 c (/.f64 #s(literal 1 binary64) (fma.f64 c (*.f64 c (*.f64 c c)) (*.f64 (*.f64 d d) (*.f64 (+.f64 d c) (-.f64 d c)))))) (neg.f64 (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d))))) |
(fma.f64 (/.f64 b (fma.f64 (*.f64 d d) (*.f64 d (*.f64 d (*.f64 d d))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c c))))) (/.f64 c (/.f64 #s(literal 1 binary64) (fma.f64 d (*.f64 d (*.f64 d d)) (*.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d)))))) (neg.f64 (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d))))) |
(fma.f64 (/.f64 b (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d)))) (/.f64 c (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 c d) (-.f64 c d)))) (neg.f64 (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d))))) |
(fma.f64 (/.f64 b (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 d c) (-.f64 d c)))) (/.f64 c (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 d c) (-.f64 d c)))) (neg.f64 (/.f64 (*.f64 a d) (fma.f64 c c (*.f64 d d))))) |
(neg.f64 (/.f64 (fma.f64 a (neg.f64 d) (*.f64 c b)) (neg.f64 (fma.f64 c c (*.f64 d d))))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 a (neg.f64 d) (*.f64 c b))) (fma.f64 c c (*.f64 d d)))) |
(/.f64 (fma.f64 a (neg.f64 d) (*.f64 c b)) (fma.f64 c c (*.f64 d d))) |
(/.f64 (neg.f64 (fma.f64 a (neg.f64 d) (*.f64 c b))) (neg.f64 (fma.f64 c c (*.f64 d d)))) |
(/.f64 (fma.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b))) (neg.f64 (*.f64 (*.f64 a d) (*.f64 a (*.f64 d (*.f64 a d)))))) (*.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 (*.f64 a d) (fma.f64 c b (*.f64 a d)) (*.f64 c (*.f64 b (*.f64 c b)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a (neg.f64 d) (*.f64 c b)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a (neg.f64 d) (*.f64 c b)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 (*.f64 a d) (fma.f64 c b (*.f64 a d)) (*.f64 c (*.f64 b (*.f64 c b))))) (fma.f64 (*.f64 c b) (*.f64 c (*.f64 b (*.f64 c b))) (neg.f64 (*.f64 (*.f64 a d) (*.f64 a (*.f64 d (*.f64 a d)))))))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 c c (*.f64 d d))) (-.f64 (*.f64 (*.f64 c b) (fma.f64 c c (*.f64 d d))) (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 a d))))) |
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(neg.f64 (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d)))) |
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d)) (*.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d)) #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d)) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) (*.f64 #s(literal 0 binary64) #s(approx (+ (* d d) (* c c)) (*.f64 d d)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d)) #s(approx (+ (* d d) (* c c)) (*.f64 d d)) (*.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))))) |
#s(approx (+ (* d d) (* c c)) (*.f64 d d)) |
(*.f64 #s(literal 1 binary64) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) |
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d)))) |
(+.f64 #s(literal 0 binary64) (neg.f64 a)) |
(-.f64 #s(literal 0 binary64) a) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a)))) (/.f64 (*.f64 a (*.f64 a a)) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) a)) (/.f64 (*.f64 a a) (+.f64 #s(literal 0 binary64) a))) |
(neg.f64 a) |
(/.f64 a #s(literal -1 binary64)) |
(/.f64 (neg.f64 a) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (*.f64 a (*.f64 a a))) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a)))) |
(/.f64 (neg.f64 (*.f64 a (*.f64 a a))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 a a) (*.f64 #s(literal 0 binary64) (neg.f64 a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) a)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a))) (neg.f64 (*.f64 a (*.f64 a a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) a) (neg.f64 (*.f64 a a)))) |
(/.f64 (neg.f64 (*.f64 a a)) (+.f64 #s(literal 0 binary64) a)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 a a))) (neg.f64 (+.f64 #s(literal 0 binary64) a))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 a (*.f64 a a)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a))))) |
(*.f64 a #s(literal -1 binary64)) |
(*.f64 (neg.f64 (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a))))) |
(*.f64 #s(literal -1 binary64) a) |
(*.f64 (neg.f64 (*.f64 a a)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) a))) |
Compiled 29 502 to 2 171 computations (92.6% saved)
21 alts after pruning (17 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 450 | 15 | 1 465 |
| Fresh | 9 | 2 | 11 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 462 | 21 | 1 483 |
| Status | Accuracy | Program |
|---|---|---|
| 29.8% | (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| 36.2% | (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| 39.6% | (/.f64 #s(approx (- (* c b) (* a d)) (*.f64 b c)) (fma.f64 c c (*.f64 d d))) | |
| 51.1% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (*.f64 c b) d) (/.f64 #s(literal 1 binary64) d) (/.f64 a (neg.f64 d)))) | |
| 23.8% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a)))) (/.f64 (*.f64 c b) d)) d)) | |
| ▶ | 53.1% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) |
| ✓ | 35.2% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) |
| ✓ | 21.1% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) |
| ▶ | 19.7% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) |
| ▶ | 23.4% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 (neg.f64 a) c) d)) c)) |
| 23.3% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) | |
| 21.7% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 c (/.f64 b d))) d)) | |
| 45.9% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 c (-.f64 (/.f64 b d) (/.f64 a c)))) d)) | |
| ▶ | 50.8% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))) d)) |
| ✓ | 41.8% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
| ✓ | 42.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d))) |
| 53.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) (/.f64 #s(literal 1 binary64) d))) | |
| 41.7% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b)) | |
| ▶ | 41.9% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) d) a)) |
| 19.2% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* d a) c)) c) (neg.f64 (*.f64 d (/.f64 a (*.f64 c c)))))) | |
| 17.9% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* c (/ b d)) (neg a)) d) (*.f64 b (/.f64 c (*.f64 d d))))) |
Compiled 569 to 330 computations (42% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))) d) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))) d)) | |
| cost-diff | 512 | (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64))) | |
| cost-diff | 0 | (*.f64 (/.f64 (neg.f64 a) c) d) | |
| cost-diff | 0 | #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 (neg.f64 a) c) d)) | |
| cost-diff | 0 | (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 (neg.f64 a) c) d)) c) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 (neg.f64 a) c) d)) c)) | |
| cost-diff | 0 | (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))) | |
| cost-diff | 0 | (*.f64 d a) | |
| cost-diff | 0 | (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c)))) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) d) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) d) a)) | |
| cost-diff | 192 | (*.f64 (/.f64 #s(literal -1 binary64) d) a) | |
| cost-diff | 0 | (/.f64 c d) | |
| cost-diff | 0 | (fma.f64 b (/.f64 c d) (neg.f64 a)) | |
| cost-diff | 0 | (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) |
| 4 296× | lower-fma.f32 |
| 4 292× | lower-fma.f64 |
| 3 432× | lower-*.f32 |
| 3 420× | lower-*.f64 |
| 1 932× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 347 |
| 0 | 66 | 339 |
| 1 | 117 | 339 |
| 2 | 218 | 339 |
| 3 | 428 | 330 |
| 4 | 746 | 330 |
| 5 | 1431 | 330 |
| 6 | 3653 | 330 |
| 7 | 5697 | 330 |
| 8 | 7183 | 330 |
| 9 | 7927 | 330 |
| 0 | 8007 | 321 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) |
(/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d) |
(fma.f64 b (/.f64 c d) (neg.f64 a)) |
b |
(/.f64 c d) |
c |
d |
(neg.f64 a) |
a |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) d) a)) |
(*.f64 (/.f64 #s(literal -1 binary64) d) a) |
(/.f64 #s(literal -1 binary64) d) |
#s(literal -1 binary64) |
d |
a |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) |
(/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c)))) |
(*.f64 d a) |
d |
a |
(neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))) |
#s(approx (+ (* d d) (* c c)) (*.f64 c c)) |
(*.f64 c c) |
c |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 (neg.f64 a) c) d)) c)) |
(/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 (neg.f64 a) c) d)) c) |
#s(approx (- b (/ (* d a) c)) (*.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 (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))) d)) |
(/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))) d) |
#s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))) |
(*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64))) |
a |
(fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) |
b |
(/.f64 c (*.f64 a d)) |
c |
(*.f64 a d) |
d |
#s(literal -1 binary64) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) |
(/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d) |
(fma.f64 b (/.f64 c d) (neg.f64 a)) |
b |
(/.f64 c d) |
c |
d |
(neg.f64 a) |
a |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) d) a)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d))) |
(*.f64 (/.f64 #s(literal -1 binary64) d) a) |
(/.f64 a (neg.f64 d)) |
(/.f64 #s(literal -1 binary64) d) |
#s(literal -1 binary64) |
d |
a |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d (neg.f64 a)) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))) |
(/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c)))) |
(/.f64 (*.f64 d (neg.f64 a)) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) |
(*.f64 d a) |
(*.f64 a d) |
d |
a |
(neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))) |
#s(approx (+ (* d d) (* c c)) (*.f64 c c)) |
(*.f64 c c) |
c |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 (neg.f64 a) c) d)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) c)) |
(/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 (neg.f64 a) c) d)) c) |
(/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) c) |
#s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 (neg.f64 a) c) d)) |
#s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) |
(*.f64 (/.f64 (neg.f64 a) c) d) |
(/.f64 (*.f64 d (neg.f64 a)) c) |
(/.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 (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (fma.f64 b (/.f64 c d) (neg.f64 a))) d)) |
(/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))) d) |
(/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (fma.f64 b (/.f64 c d) (neg.f64 a))) d) |
#s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))) |
#s(approx (+ (* c (/ b d)) (neg a)) (fma.f64 b (/.f64 c d) (neg.f64 a))) |
(*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64))) |
(fma.f64 b (/.f64 c d) (neg.f64 a)) |
a |
(fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) |
b |
(/.f64 c (*.f64 a d)) |
c |
(*.f64 a d) |
d |
#s(literal -1 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 3.1330998393404927 | (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64))) | |
| accuracy | 3.343217402895417 | (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) | |
| accuracy | 6.191465366792365 | (/.f64 c (*.f64 a d)) | |
| accuracy | 29.712885477043613 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))) d)) | |
| accuracy | 0.06640625 | (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 (neg.f64 a) c) d)) c) | |
| accuracy | 2.946836035863925 | (*.f64 (/.f64 (neg.f64 a) c) d) | |
| accuracy | 29.17207257398674 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 (neg.f64 a) c) d)) c)) | |
| accuracy | 29.959137296554186 | #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 (neg.f64 a) c) d)) | |
| accuracy | 0 | (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))) | |
| accuracy | 22.613408211191462 | (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c)))) | |
| accuracy | 25.629998603834373 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) | |
| accuracy | 27.717070134699814 | #s(approx (+ (* d d) (* c c)) (*.f64 c c)) | |
| accuracy | 0 | (/.f64 #s(literal -1 binary64) d) | |
| accuracy | 0.24609375 | (*.f64 (/.f64 #s(literal -1 binary64) d) a) | |
| accuracy | 37.09723303129607 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) d) a)) | |
| accuracy | 0 | (neg.f64 a) | |
| accuracy | 1.4287155759824952 | (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d) | |
| accuracy | 3.859481498615733 | (fma.f64 b (/.f64 c d) (neg.f64 a)) | |
| accuracy | 29.712885477043613 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) |
| 75.0ms | 256× | 0 | valid |
Compiled 233 to 38 computations (83.7% saved)
ival-mult: 20.0ms (43.3% of total)ival-div: 17.0ms (36.8% of total)ival-add: 5.0ms (10.8% of total)ival-sub: 2.0ms (4.3% of total)ival-neg: 2.0ms (4.3% 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 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d) (patch (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d) #<representation binary64>) () ()) |
#s(alt (fma.f64 b (/.f64 c d) (neg.f64 a)) (patch (fma.f64 b (/.f64 c d) (neg.f64 a)) #<representation binary64>) () ()) |
#s(alt (/.f64 c d) (patch (/.f64 c d) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal -1 binary64) d) a) (patch (*.f64 (/.f64 #s(literal -1 binary64) d) a) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) d) a)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) d) a)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) d) (patch (/.f64 #s(literal -1 binary64) d) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c)))) (patch (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c)))) #<representation binary64>) () ()) |
#s(alt (*.f64 d a) (patch (*.f64 d a) #<representation binary64>) () ()) |
#s(alt (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))) (patch (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 (neg.f64 a) c) d)) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 (neg.f64 a) c) d)) c)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 (neg.f64 a) c) d)) c) (patch (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 (neg.f64 a) c) d)) c) #<representation binary64>) () ()) |
#s(alt #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 (neg.f64 a) c) d)) (patch #s(approx (- b (/ (* d a) c)) (*.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 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64))) (patch (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))) d)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))) d) (patch (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))) d) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))) (patch #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))) #<representation binary64>) () ()) |
#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* d d) (* c c)) (*.f64 c c)) (patch #s(approx (+ (* d d) (* c c)) (*.f64 c c)) #<representation binary64>) () ()) |
#s(alt (/.f64 c (*.f64 a d)) (patch (/.f64 c (*.f64 a d)) #<representation binary64>) () ()) |
#s(alt (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) #<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 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) 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 #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) 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 #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) 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 #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #<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 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) (taylor inf b) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) (taylor inf b) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #<representation binary64>) () ())) ()) |
#s(alt (* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) (taylor inf b) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #<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 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) 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 #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) 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 #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) 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 #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor inf c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ b (* -1 (/ (* a d) c))) c) (taylor inf c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) (taylor inf c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) (taylor inf c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor -inf c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) (taylor -inf c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) (taylor -inf c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) (taylor -inf c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) (+ (pow c 2) (pow d 2))) (taylor 0 a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) (taylor 0 a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) (taylor 0 a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) (taylor 0 a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (taylor inf a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) (taylor inf a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) (taylor inf a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) (taylor inf a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (taylor -inf a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) (taylor -inf a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) (taylor -inf a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) (taylor -inf a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor 0 d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) (taylor 0 d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) (taylor 0 d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) (taylor 0 d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 a) (/ (* b c) d)) d) (taylor inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) #<representation binary64>) () ())) ()) |
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#s(alt (* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) (taylor inf a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) (taylor inf a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) (taylor inf a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) #<representation binary64>) () ())) ()) |
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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 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) #<representation binary64>) () ())) ()) |
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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 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) #<representation binary64>) () ())) ()) |
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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 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) (taylor 0 d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (+ (* -1 a) (/ (* b c) d)) d) (taylor inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) (taylor inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) (taylor inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) (pow c 2))) (taylor 0 d) (#s(alt (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c)))) (patch (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c)))) #<representation binary64>) () ())) ()) |
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#s(alt (* d (+ (* -1 (/ a (pow c 2))) (* (pow d 2) (+ (* -1 (/ (* a (pow d 2)) (pow c 6))) (/ a (pow c 4)))))) (taylor 0 d) (#s(alt (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c)))) (patch (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (* d (+ (* -1 (/ a (pow c 2))) (* (pow d 2) (+ (* (pow d 2) (+ (* -1 (/ a (pow c 6))) (/ (* a (pow d 2)) (pow c 8)))) (/ a (pow c 4)))))) (taylor 0 d) (#s(alt (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c)))) (patch (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor inf d) (#s(alt (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c)))) (patch (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c)))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2)))) d) (taylor inf d) (#s(alt (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c)))) (patch (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* a (pow c 6)) (pow d 6))))) d) (taylor inf d) (#s(alt (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c)))) (patch (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor -inf d) (#s(alt (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c)))) (patch (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c)))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ (- (+ a (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2))) d)) (taylor -inf d) (#s(alt (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c)))) (patch (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (+ a (* -1 (/ (* a (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2)))) d)) (taylor -inf d) (#s(alt (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c)))) (patch (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c)))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) (taylor 0 a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))) d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) (taylor 0 a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))) d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) (taylor 0 a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))) d)) #<representation binary64>) () ())) ()) |
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#s(alt (* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) (taylor inf a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))) d)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) (taylor inf a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))) d)) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) (taylor inf a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))) d)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) (taylor -inf a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))) d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) (taylor -inf a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))) d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) (taylor -inf a) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))) d)) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) (taylor 0 d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))) d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) (taylor 0 d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))) d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) (taylor 0 d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))) d)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (+ (* -1 a) (/ (* b c) d)) d) (taylor inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))) d)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) (taylor inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))) d)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) (taylor inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))) d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))) d)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* b c) (pow d 2)) (taylor inf c) (#s(alt (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))) d) (patch (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))) d) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ a d)) (taylor 0 b) (#s(alt (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))) d) (patch (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))) d) #<representation binary64>) () ())) ()) |
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#s(alt (/ c (* a d)) (taylor 0 d) (#s(alt (/.f64 c (*.f64 a d)) (patch (/.f64 c (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (/ c (* a d)) (taylor 0 d) (#s(alt (/.f64 c (*.f64 a d)) (patch (/.f64 c (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (/ c (* a d)) (taylor inf d) (#s(alt (/.f64 c (*.f64 a d)) (patch (/.f64 c (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (/ c (* a d)) (taylor inf d) (#s(alt (/.f64 c (*.f64 a d)) (patch (/.f64 c (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (/ c (* a d)) (taylor inf d) (#s(alt (/.f64 c (*.f64 a d)) (patch (/.f64 c (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (/ c (* a d)) (taylor inf d) (#s(alt (/.f64 c (*.f64 a d)) (patch (/.f64 c (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (/ c (* a d)) (taylor -inf d) (#s(alt (/.f64 c (*.f64 a d)) (patch (/.f64 c (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (/ c (* a d)) (taylor -inf d) (#s(alt (/.f64 c (*.f64 a d)) (patch (/.f64 c (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (/ c (* a d)) (taylor -inf d) (#s(alt (/.f64 c (*.f64 a d)) (patch (/.f64 c (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (/ c (* a d)) (taylor -inf d) (#s(alt (/.f64 c (*.f64 a d)) (patch (/.f64 c (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 b) (#s(alt (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ (* b c) (* a d)) 1) (taylor 0 b) (#s(alt (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ (* b c) (* a d)) 1) (taylor 0 b) (#s(alt (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ (* b c) (* a d)) 1) (taylor 0 b) (#s(alt (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) (* a d)) (taylor inf b) (#s(alt (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* b (- (/ c (* a d)) (/ 1 b))) (taylor inf b) (#s(alt (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* b (- (/ c (* a d)) (/ 1 b))) (taylor inf b) (#s(alt (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* b (- (/ c (* a d)) (/ 1 b))) (taylor inf b) (#s(alt (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) (* a d)) (taylor -inf b) (#s(alt (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ (* -1 (/ c (* a d))) (/ 1 b)))) (taylor -inf b) (#s(alt (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ (* -1 (/ c (* a d))) (/ 1 b)))) (taylor -inf b) (#s(alt (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b (+ (* -1 (/ c (* a d))) (/ 1 b)))) (taylor -inf b) (#s(alt (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 c) (#s(alt (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ (* b c) (* a d)) 1) (taylor 0 c) (#s(alt (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ (* b c) (* a d)) 1) (taylor 0 c) (#s(alt (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ (* b c) (* a d)) 1) (taylor 0 c) (#s(alt (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) (* a d)) (taylor inf c) (#s(alt (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (/ b (* a d)) (/ 1 c))) (taylor inf c) (#s(alt (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (/ b (* a d)) (/ 1 c))) (taylor inf c) (#s(alt (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (/ b (* a d)) (/ 1 c))) (taylor inf c) (#s(alt (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) (* a d)) (taylor -inf c) (#s(alt (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 (/ b (* a d))) (/ 1 c)))) (taylor -inf c) (#s(alt (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 (/ b (* a d))) (/ 1 c)))) (taylor -inf c) (#s(alt (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 (/ b (* a d))) (/ 1 c)))) (taylor -inf c) (#s(alt (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) (* a d)) (taylor 0 a) (#s(alt (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 a) (/ (* b c) d)) a) (taylor 0 a) (#s(alt (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 a) (/ (* b c) d)) a) (taylor 0 a) (#s(alt (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 a) (/ (* b c) d)) a) (taylor 0 a) (#s(alt (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor inf a) (#s(alt (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ (* b c) (* a d)) 1) (taylor inf a) (#s(alt (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ (* b c) (* a d)) 1) (taylor inf a) (#s(alt (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ (* b c) (* a d)) 1) (taylor inf a) (#s(alt (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor -inf a) (#s(alt (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ (* b c) (* a d)) 1) (taylor -inf a) (#s(alt (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ (* b c) (* a d)) 1) (taylor -inf a) (#s(alt (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ (* b c) (* a d)) 1) (taylor -inf a) (#s(alt (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) (* a d)) (taylor 0 d) (#s(alt (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 d) (/ (* b c) a)) d) (taylor 0 d) (#s(alt (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 d) (/ (* b c) a)) d) (taylor 0 d) (#s(alt (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 d) (/ (* b c) a)) d) (taylor 0 d) (#s(alt (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor inf d) (#s(alt (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ (* b c) (* a d)) 1) (taylor inf d) (#s(alt (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ (* b c) (* a d)) 1) (taylor inf d) (#s(alt (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ (* b c) (* a d)) 1) (taylor inf d) (#s(alt (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor -inf d) (#s(alt (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ (* b c) (* a d)) 1) (taylor -inf d) (#s(alt (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ (* b c) (* a d)) 1) (taylor -inf d) (#s(alt (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ (* b c) (* a d)) 1) (taylor -inf d) (#s(alt (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) (patch (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
219 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | a | @ | -inf | (* a (+ (* b (/ c (* a d))) -1)) |
| 0.0ms | a | @ | inf | (* a (+ (* b (/ c (* a d))) -1)) |
| 0.0ms | b | @ | 0 | (* a (+ (* b (/ c (* a d))) -1)) |
| 0.0ms | a | @ | 0 | (* a (+ (* b (/ c (* a d))) -1)) |
| 0.0ms | c | @ | 0 | (/ c (* a d)) |
| 1× | egg-herbie |
| 12 242× | lower-fma.f64 |
| 12 242× | lower-fma.f32 |
| 5 038× | lower-*.f64 |
| 5 038× | lower-*.f32 |
| 2 794× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 386 | 9698 |
| 1 | 1228 | 9279 |
| 2 | 3942 | 9147 |
| 0 | 8491 | 8759 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/ (* b c) (pow d 2)) |
(* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2)))) |
(* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2)))) |
(* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2)))) |
(/ (* b c) (pow d 2)) |
(* -1 (* b (+ (* -1 (/ c (pow d 2))) (/ a (* b d))))) |
(* -1 (* b (+ (* -1 (/ c (pow d 2))) (/ a (* b d))))) |
(* -1 (* b (+ (* -1 (/ c (pow d 2))) (/ a (* b d))))) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/ (* b c) (pow d 2)) |
(* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2)))) |
(* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2)))) |
(* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2)))) |
(/ (* b c) (pow d 2)) |
(* -1 (* c (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))) |
(* -1 (* c (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))) |
(* -1 (* c (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))) |
(/ (* b c) (pow d 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow d 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow d 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow d 2)) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/ (* b c) (pow d 2)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(* -1 (/ a d)) |
(* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d))) |
(* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d))) |
(* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d))) |
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(/ (+ (* -1 a) (/ (* b c) d)) d) |
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(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
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(* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c))) |
(* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c))) |
(/ b c) |
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(* -1 (/ (* a d) (pow c 2))) |
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(* -1 (/ (* a d) (pow c 2))) |
(* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c)))) |
(* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c)))) |
(* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c)))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2))))) |
(* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2))))) |
(* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2))))) |
(* -1 (/ (* a d) (pow c 2))) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (* a d) c)) |
(- b (/ (* a d) c)) |
(- b (/ (* a d) c)) |
(- b (/ (* a d) c)) |
b |
(* b (+ 1 (* -1 (/ (* a d) (* b c))))) |
(* b (+ 1 (* -1 (/ (* a d) (* b c))))) |
(* b (+ 1 (* -1 (/ (* a d) (* b c))))) |
b |
(* -1 (* b (- (/ (* a d) (* b c)) 1))) |
(* -1 (* b (- (/ (* a d) (* b c)) 1))) |
(* -1 (* b (- (/ (* a d) (* b c)) 1))) |
b |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(* -1 (/ (* a d) c)) |
(* d (- (/ b d) (/ a c))) |
(* d (- (/ b d) (/ a c))) |
(* d (- (/ b d) (/ a c))) |
(* -1 (/ (* a d) c)) |
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) |
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) |
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) |
b |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(* -1 (/ (* a d) c)) |
(* a (- (/ b a) (/ d c))) |
(* a (- (/ b a) (/ d c))) |
(* a (- (/ b a) (/ d c))) |
(* -1 (/ (* a d) c)) |
(* -1 (* a (- (* -1 (/ b a)) (* -1 (/ d c))))) |
(* -1 (* a (- (* -1 (/ b a)) (* -1 (/ d c))))) |
(* -1 (* a (- (* -1 (/ b a)) (* -1 (/ d c))))) |
(* -1 (/ (* a d) c)) |
(/ (- (* b c) (* a d)) c) |
(/ (- (* b c) (* a d)) c) |
(/ (- (* b c) (* a d)) c) |
b |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
b |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(/ (* b c) d) |
(+ (* -1 a) (/ (* b c) d)) |
(+ (* -1 a) (/ (* b c) d)) |
(+ (* -1 a) (/ (* b c) d)) |
(* -1 a) |
(* a (- (/ (* b c) (* a d)) 1)) |
(* a (- (/ (* b c) (* a d)) 1)) |
(* a (- (/ (* b c) (* a d)) 1)) |
(* -1 a) |
(* -1 (* a (+ 1 (* -1 (/ (* b c) (* a d)))))) |
(* -1 (* a (+ 1 (* -1 (/ (* b c) (* a d)))))) |
(* -1 (* a (+ 1 (* -1 (/ (* b c) (* a d)))))) |
(* -1 a) |
(+ (* -1 a) (/ (* b c) d)) |
(+ (* -1 a) (/ (* b c) d)) |
(+ (* -1 a) (/ (* b c) d)) |
(/ (* b c) d) |
(* b (+ (* -1 (/ a b)) (/ c d))) |
(* b (+ (* -1 (/ a b)) (/ c d))) |
(* b (+ (* -1 (/ a b)) (/ c d))) |
(/ (* b c) d) |
(* -1 (* b (+ (* -1 (/ c d)) (/ a b)))) |
(* -1 (* b (+ (* -1 (/ c d)) (/ a b)))) |
(* -1 (* b (+ (* -1 (/ c d)) (/ a b)))) |
(* -1 a) |
(+ (* -1 a) (/ (* b c) d)) |
(+ (* -1 a) (/ (* b c) d)) |
(+ (* -1 a) (/ (* b c) d)) |
(/ (* b c) d) |
(* c (+ (* -1 (/ a c)) (/ b d))) |
(* c (+ (* -1 (/ a c)) (/ b d))) |
(* c (+ (* -1 (/ a c)) (/ b d))) |
(/ (* b c) d) |
(* -1 (* c (+ (* -1 (/ b d)) (/ a c)))) |
(* -1 (* c (+ (* -1 (/ b d)) (/ a c)))) |
(* -1 (* c (+ (* -1 (/ b d)) (/ a c)))) |
(/ (* b c) d) |
(/ (+ (* -1 (* a d)) (* b c)) d) |
(/ (+ (* -1 (* a d)) (* b c)) d) |
(/ (+ (* -1 (* a d)) (* b c)) d) |
(* -1 a) |
(+ (* -1 a) (/ (* b c) d)) |
(+ (* -1 a) (/ (* b c) d)) |
(+ (* -1 a) (/ (* b c) d)) |
(* -1 a) |
(+ (* -1 a) (/ (* b c) d)) |
(+ (* -1 a) (/ (* b c) d)) |
(+ (* -1 a) (/ (* b c) d)) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(/ (* 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)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/ (* b c) (pow d 2)) |
(* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2)))) |
(* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2)))) |
(* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2)))) |
(/ (* b c) (pow d 2)) |
(* -1 (* c (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))) |
(* -1 (* c (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))) |
(* -1 (* c (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/ (* b c) (pow d 2)) |
(* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2)))) |
(* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2)))) |
(* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2)))) |
(/ (* b c) (pow d 2)) |
(* -1 (* b (+ (* -1 (/ c (pow d 2))) (/ a (* b d))))) |
(* -1 (* b (+ (* -1 (/ c (pow d 2))) (/ a (* b d))))) |
(* -1 (* b (+ (* -1 (/ c (pow d 2))) (/ a (* b d))))) |
(/ (* b c) (pow d 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow d 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow d 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow d 2)) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/ (* b c) (pow d 2)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(* -1 (/ a d)) |
(* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d))) |
(* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d))) |
(* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d))) |
(* -1 (/ a d)) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (/ 1 d)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (/ 1 d)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (/ 1 d)))) |
(* -1 a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(/ (* b c) d) |
(* c (+ (* -1 (/ a c)) (/ b d))) |
(* c (+ (* -1 (/ a c)) (/ b d))) |
(* c (+ (* -1 (/ a c)) (/ b d))) |
(/ (* b c) d) |
(* -1 (* c (+ (* -1 (/ b d)) (/ a c)))) |
(* -1 (* c (+ (* -1 (/ b d)) (/ a c)))) |
(* -1 (* c (+ (* -1 (/ b d)) (/ a c)))) |
(* -1 a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(/ (* b c) d) |
(* b (+ (* -1 (/ a b)) (/ c d))) |
(* b (+ (* -1 (/ a b)) (/ c d))) |
(* b (+ (* -1 (/ a b)) (/ c d))) |
(/ (* b c) d) |
(* -1 (* b (+ (* -1 (/ c d)) (/ a b)))) |
(* -1 (* b (+ (* -1 (/ c d)) (/ a b)))) |
(* -1 (* b (+ (* -1 (/ c d)) (/ a b)))) |
(/ (* b c) d) |
(/ (+ (* -1 (* a d)) (* b c)) d) |
(/ (+ (* -1 (* a d)) (* b c)) d) |
(/ (+ (* -1 (* a d)) (* b c)) d) |
(* -1 a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(* -1 a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(/ (* b c) d) |
(+ (* -1 a) (/ (* b c) d)) |
(+ (* -1 a) (/ (* b c) d)) |
(+ (* -1 a) (/ (* b c) d)) |
(* -1 a) |
(* a (- (/ (* b c) (* a d)) 1)) |
(* a (- (/ (* b c) (* a d)) 1)) |
(* a (- (/ (* b c) (* a d)) 1)) |
(* -1 a) |
(* -1 (* a (+ 1 (* -1 (/ (* b c) (* a d)))))) |
(* -1 (* a (+ 1 (* -1 (/ (* b c) (* a d)))))) |
(* -1 (* a (+ 1 (* -1 (/ (* b c) (* a d)))))) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(pow c 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(pow d 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
(/ c (* a d)) |
-1 |
(- (/ (* b c) (* a d)) 1) |
(- (/ (* b c) (* a d)) 1) |
(- (/ (* b c) (* a d)) 1) |
(/ (* b c) (* a d)) |
(* b (- (/ c (* a d)) (/ 1 b))) |
(* b (- (/ c (* a d)) (/ 1 b))) |
(* b (- (/ c (* a d)) (/ 1 b))) |
(/ (* b c) (* a d)) |
(* -1 (* b (+ (* -1 (/ c (* a d))) (/ 1 b)))) |
(* -1 (* b (+ (* -1 (/ c (* a d))) (/ 1 b)))) |
(* -1 (* b (+ (* -1 (/ c (* a d))) (/ 1 b)))) |
-1 |
(- (/ (* b c) (* a d)) 1) |
(- (/ (* b c) (* a d)) 1) |
(- (/ (* b c) (* a d)) 1) |
(/ (* b c) (* a d)) |
(* c (- (/ b (* a d)) (/ 1 c))) |
(* c (- (/ b (* a d)) (/ 1 c))) |
(* c (- (/ b (* a d)) (/ 1 c))) |
(/ (* b c) (* a d)) |
(* -1 (* c (+ (* -1 (/ b (* a d))) (/ 1 c)))) |
(* -1 (* c (+ (* -1 (/ b (* a d))) (/ 1 c)))) |
(* -1 (* c (+ (* -1 (/ b (* a d))) (/ 1 c)))) |
(/ (* b c) (* a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) a) |
(/ (+ (* -1 a) (/ (* b c) d)) a) |
(/ (+ (* -1 a) (/ (* b c) d)) a) |
-1 |
(- (/ (* b c) (* a d)) 1) |
(- (/ (* b c) (* a d)) 1) |
(- (/ (* b c) (* a d)) 1) |
-1 |
(- (/ (* b c) (* a d)) 1) |
(- (/ (* b c) (* a d)) 1) |
(- (/ (* b c) (* a d)) 1) |
(/ (* b c) (* a d)) |
(/ (+ (* -1 d) (/ (* b c) a)) d) |
(/ (+ (* -1 d) (/ (* b c) a)) d) |
(/ (+ (* -1 d) (/ (* b c) a)) d) |
-1 |
(- (/ (* b c) (* a d)) 1) |
(- (/ (* b c) (* a d)) 1) |
(- (/ (* b c) (* a d)) 1) |
-1 |
(- (/ (* b c) (* a d)) 1) |
(- (/ (* b c) (* a d)) 1) |
(- (/ (* b c) (* a d)) 1) |
| Outputs |
|---|
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(/.f64 (*.f64 a d) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(fma.f64 a (/.f64 d (neg.f64 (fma.f64 d d (*.f64 c c)))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(fma.f64 a (/.f64 d (neg.f64 (fma.f64 d d (*.f64 c c)))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(fma.f64 a (/.f64 d (neg.f64 (fma.f64 d d (*.f64 c c)))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(*.f64 b (fma.f64 a (neg.f64 (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) b))) (/.f64 c (fma.f64 d d (*.f64 c c))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(*.f64 b (fma.f64 a (neg.f64 (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) b))) (/.f64 c (fma.f64 d d (*.f64 c c))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(*.f64 b (fma.f64 a (neg.f64 (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) b))) (/.f64 c (fma.f64 d d (*.f64 c c))))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(*.f64 b (fma.f64 a (neg.f64 (/.f64 d (*.f64 (fma.f64 d d (*.f64 c c)) b))) (/.f64 c (fma.f64 d d (*.f64 c c))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
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(-.f64 (*.f64 c (/.f64 b d)) a) |
(+ (* -1 a) (/ (* b c) d)) |
(-.f64 (*.f64 c (/.f64 b d)) a) |
(+ (* -1 a) (/ (* b c) d)) |
(-.f64 (*.f64 c (/.f64 b d)) a) |
(* -1 a) |
(neg.f64 a) |
(* a (- (/ (* b c) (* a d)) 1)) |
(*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64))) |
(* a (- (/ (* b c) (* a d)) 1)) |
(*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64))) |
(* a (- (/ (* b c) (* a d)) 1)) |
(*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64))) |
(* -1 a) |
(neg.f64 a) |
(* -1 (* a (+ 1 (* -1 (/ (* b c) (* a d)))))) |
(*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64))) |
(* -1 (* a (+ 1 (* -1 (/ (* b c) (* a d)))))) |
(*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64))) |
(* -1 (* a (+ 1 (* -1 (/ (* b c) (* a d)))))) |
(*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64))) |
(* -1 a) |
(neg.f64 a) |
(* -1 a) |
(neg.f64 a) |
(* -1 a) |
(neg.f64 a) |
(* -1 a) |
(neg.f64 a) |
(* -1 a) |
(neg.f64 a) |
(* -1 a) |
(neg.f64 a) |
(* -1 a) |
(neg.f64 a) |
(* -1 a) |
(neg.f64 a) |
(* -1 a) |
(neg.f64 a) |
(* -1 a) |
(neg.f64 a) |
(* -1 a) |
(neg.f64 a) |
(* -1 a) |
(neg.f64 a) |
(pow c 2) |
(*.f64 c c) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 d d (*.f64 c c)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 d d (*.f64 c c)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 d d (*.f64 c c)) |
(pow d 2) |
(*.f64 d d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (*.f64 d d) (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (*.f64 d d) (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (*.f64 d d) (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64))) |
(pow d 2) |
(*.f64 d d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (*.f64 d d) (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (*.f64 d d) (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (*.f64 d d) (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64))) |
(pow d 2) |
(*.f64 d d) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 d d (*.f64 c c)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 d d (*.f64 c c)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 d d (*.f64 c c)) |
(pow c 2) |
(*.f64 c c) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 c (fma.f64 c (*.f64 d (/.f64 d (*.f64 c c))) c)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 c (fma.f64 c (*.f64 d (/.f64 d (*.f64 c c))) c)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 c (fma.f64 c (*.f64 d (/.f64 d (*.f64 c c))) c)) |
(pow c 2) |
(*.f64 c c) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 c (fma.f64 c (*.f64 d (/.f64 d (*.f64 c c))) c)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 c (fma.f64 c (*.f64 d (/.f64 d (*.f64 c c))) c)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 c (fma.f64 c (*.f64 d (/.f64 d (*.f64 c c))) c)) |
(/ c (* a d)) |
(/.f64 c (*.f64 a d)) |
(/ c (* a d)) |
(/.f64 c (*.f64 a d)) |
(/ c (* a d)) |
(/.f64 c (*.f64 a d)) |
(/ c (* a d)) |
(/.f64 c (*.f64 a d)) |
(/ c (* a d)) |
(/.f64 c (*.f64 a d)) |
(/ c (* a d)) |
(/.f64 c (*.f64 a d)) |
(/ c (* a d)) |
(/.f64 c (*.f64 a d)) |
(/ c (* a d)) |
(/.f64 c (*.f64 a d)) |
(/ c (* a d)) |
(/.f64 c (*.f64 a d)) |
(/ c (* a d)) |
(/.f64 c (*.f64 a d)) |
(/ c (* a d)) |
(/.f64 c (*.f64 a d)) |
(/ c (* a d)) |
(/.f64 c (*.f64 a d)) |
(/ c (* a d)) |
(/.f64 c (*.f64 a d)) |
(/ c (* a d)) |
(/.f64 c (*.f64 a d)) |
(/ c (* a d)) |
(/.f64 c (*.f64 a d)) |
(/ c (* a d)) |
(/.f64 c (*.f64 a d)) |
(/ c (* a d)) |
(/.f64 c (*.f64 a d)) |
(/ c (* a d)) |
(/.f64 c (*.f64 a d)) |
(/ c (* a d)) |
(/.f64 c (*.f64 a d)) |
(/ c (* a d)) |
(/.f64 c (*.f64 a d)) |
(/ c (* a d)) |
(/.f64 c (*.f64 a d)) |
(/ c (* a d)) |
(/.f64 c (*.f64 a d)) |
(/ c (* a d)) |
(/.f64 c (*.f64 a d)) |
(/ c (* a d)) |
(/.f64 c (*.f64 a d)) |
(/ c (* a d)) |
(/.f64 c (*.f64 a d)) |
(/ c (* a d)) |
(/.f64 c (*.f64 a d)) |
(/ c (* a d)) |
(/.f64 c (*.f64 a d)) |
(/ c (* a d)) |
(/.f64 c (*.f64 a d)) |
(/ c (* a d)) |
(/.f64 c (*.f64 a d)) |
(/ c (* a d)) |
(/.f64 c (*.f64 a d)) |
(/ c (* a d)) |
(/.f64 c (*.f64 a d)) |
(/ c (* a d)) |
(/.f64 c (*.f64 a d)) |
(/ c (* a d)) |
(/.f64 c (*.f64 a d)) |
(/ c (* a d)) |
(/.f64 c (*.f64 a d)) |
(/ c (* a d)) |
(/.f64 c (*.f64 a d)) |
(/ c (* a d)) |
(/.f64 c (*.f64 a d)) |
-1 |
#s(literal -1 binary64) |
(- (/ (* b c) (* a d)) 1) |
(fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) |
(- (/ (* b c) (* a d)) 1) |
(fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) |
(- (/ (* b c) (* a d)) 1) |
(fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) |
(/ (* b c) (* a d)) |
(*.f64 b (/.f64 c (*.f64 a d))) |
(* b (- (/ c (* a d)) (/ 1 b))) |
(fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) |
(* b (- (/ c (* a d)) (/ 1 b))) |
(fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) |
(* b (- (/ c (* a d)) (/ 1 b))) |
(fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) |
(/ (* b c) (* a d)) |
(*.f64 b (/.f64 c (*.f64 a d))) |
(* -1 (* b (+ (* -1 (/ c (* a d))) (/ 1 b)))) |
(fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) |
(* -1 (* b (+ (* -1 (/ c (* a d))) (/ 1 b)))) |
(fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) |
(* -1 (* b (+ (* -1 (/ c (* a d))) (/ 1 b)))) |
(fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (/ (* b c) (* a d)) 1) |
(fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) |
(- (/ (* b c) (* a d)) 1) |
(fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) |
(- (/ (* b c) (* a d)) 1) |
(fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) |
(/ (* b c) (* a d)) |
(*.f64 b (/.f64 c (*.f64 a d))) |
(* c (- (/ b (* a d)) (/ 1 c))) |
(fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) |
(* c (- (/ b (* a d)) (/ 1 c))) |
(fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) |
(* c (- (/ b (* a d)) (/ 1 c))) |
(fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) |
(/ (* b c) (* a d)) |
(*.f64 b (/.f64 c (*.f64 a d))) |
(* -1 (* c (+ (* -1 (/ b (* a d))) (/ 1 c)))) |
(fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) |
(* -1 (* c (+ (* -1 (/ b (* a d))) (/ 1 c)))) |
(fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) |
(* -1 (* c (+ (* -1 (/ b (* a d))) (/ 1 c)))) |
(fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) |
(/ (* b c) (* a d)) |
(*.f64 b (/.f64 c (*.f64 a d))) |
(/ (+ (* -1 a) (/ (* b c) d)) a) |
(fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) |
(/ (+ (* -1 a) (/ (* b c) d)) a) |
(fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) |
(/ (+ (* -1 a) (/ (* b c) d)) a) |
(fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (/ (* b c) (* a d)) 1) |
(fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) |
(- (/ (* b c) (* a d)) 1) |
(fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) |
(- (/ (* b c) (* a d)) 1) |
(fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (/ (* b c) (* a d)) 1) |
(fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) |
(- (/ (* b c) (* a d)) 1) |
(fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) |
(- (/ (* b c) (* a d)) 1) |
(fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) |
(/ (* b c) (* a d)) |
(*.f64 b (/.f64 c (*.f64 a d))) |
(/ (+ (* -1 d) (/ (* b c) a)) d) |
(/.f64 (-.f64 (/.f64 (*.f64 c b) a) d) d) |
(/ (+ (* -1 d) (/ (* b c) a)) d) |
(/.f64 (-.f64 (/.f64 (*.f64 c b) a) d) d) |
(/ (+ (* -1 d) (/ (* b c) a)) d) |
(/.f64 (-.f64 (/.f64 (*.f64 c b) a) d) d) |
-1 |
#s(literal -1 binary64) |
(- (/ (* b c) (* a d)) 1) |
(fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) |
(- (/ (* b c) (* a d)) 1) |
(fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) |
(- (/ (* b c) (* a d)) 1) |
(fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (/ (* b c) (* a d)) 1) |
(fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) |
(- (/ (* b c) (* a d)) 1) |
(fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) |
(- (/ (* b c) (* a d)) 1) |
(fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) |
| 5 978× | lower-fma.f32 |
| 5 974× | lower-fma.f64 |
| 5 680× | lower-/.f32 |
| 5 664× | lower-/.f64 |
| 4 482× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 317 |
| 0 | 66 | 312 |
| 1 | 270 | 312 |
| 2 | 1764 | 312 |
| 0 | 8643 | 303 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) |
(/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d) |
(fma.f64 b (/.f64 c d) (neg.f64 a)) |
(/.f64 c d) |
(*.f64 (/.f64 #s(literal -1 binary64) d) a) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) d) a)) |
(/.f64 #s(literal -1 binary64) d) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) |
(/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c)))) |
(*.f64 d a) |
(neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 (neg.f64 a) c) d)) c)) |
(/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 (neg.f64 a) c) d)) c) |
#s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 (neg.f64 a) c) d)) |
(*.f64 (/.f64 (neg.f64 a) c) d) |
(*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))) d)) |
(/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))) d) |
#s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))) |
(neg.f64 a) |
#s(approx (+ (* d d) (* c c)) (*.f64 c c)) |
(/.f64 c (*.f64 a d)) |
(fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) |
(exp.f64 (*.f64 (log.f64 (/.f64 d (fma.f64 b (/.f64 c d) (neg.f64 a)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 b c) d) d) (/.f64 a d)) |
(-.f64 (/.f64 #s(literal 0 binary64) d) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) (neg.f64 d))) |
(-.f64 (/.f64 #s(literal 0 binary64) d) (/.f64 (-.f64 a (/.f64 (*.f64 b c) d)) d)) |
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d d)) (fma.f64 b (/.f64 c d) a)) d) (/.f64 (/.f64 (*.f64 a a) (fma.f64 b (/.f64 c d) a)) d)) |
(-.f64 (/.f64 (fma.f64 b (/.f64 c d) #s(literal 0 binary64)) d) (/.f64 a d)) |
(-.f64 (/.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d d)) (*.f64 d (fma.f64 b (/.f64 c d) a))) (/.f64 (*.f64 a a) (*.f64 d (fma.f64 b (/.f64 c d) a)))) |
(neg.f64 (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) (neg.f64 d))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 b (/.f64 c d) (neg.f64 a))) d)) |
(/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 d (fma.f64 b (/.f64 c d) (neg.f64 a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 d (fma.f64 b (/.f64 c d) (neg.f64 a)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 d (fma.f64 b (/.f64 c d) (neg.f64 a)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d (fma.f64 (neg.f64 a) (-.f64 (neg.f64 a) (/.f64 (*.f64 b c) d)) (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d d)))) (fma.f64 (neg.f64 a) (*.f64 a a) (/.f64 (*.f64 (*.f64 b c) (*.f64 c (*.f64 b (*.f64 b c)))) (*.f64 d (*.f64 d d)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 d (fma.f64 b (/.f64 c d) a)) (-.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d d)) (*.f64 a a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (neg.f64 a) (-.f64 (neg.f64 a) (/.f64 (*.f64 b c) d)) (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d d))) d) (*.f64 (fma.f64 (neg.f64 a) (*.f64 a a) (/.f64 (*.f64 (*.f64 b c) (*.f64 c (*.f64 b (*.f64 b c)))) (*.f64 d (*.f64 d d)))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 b (/.f64 c d) a) d) (*.f64 (-.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d d)) (*.f64 a a)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 d (*.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 a) (-.f64 (neg.f64 a) (/.f64 (*.f64 b c) d)) (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d d))) (*.f64 (fma.f64 (neg.f64 a) (*.f64 a a) (/.f64 (*.f64 (*.f64 b c) (*.f64 c (*.f64 b (*.f64 b c)))) (*.f64 d (*.f64 d d)))) (/.f64 #s(literal 1 binary64) d)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (/.f64 c d) a) (*.f64 (-.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d d)) (*.f64 a a)) (/.f64 #s(literal 1 binary64) d)))) |
(/.f64 (neg.f64 (fma.f64 b (/.f64 c d) (neg.f64 a))) (neg.f64 d)) |
(/.f64 (fma.f64 (neg.f64 a) (*.f64 a a) (/.f64 (*.f64 (*.f64 b c) (*.f64 c (*.f64 b (*.f64 b c)))) (*.f64 d (*.f64 d d)))) (*.f64 d (fma.f64 (neg.f64 a) (-.f64 (neg.f64 a) (/.f64 (*.f64 b c) d)) (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d d))))) |
(/.f64 (-.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d d)) (*.f64 a a)) (*.f64 d (fma.f64 b (/.f64 c d) a))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 a) (*.f64 a a) (/.f64 (*.f64 (*.f64 b c) (*.f64 c (*.f64 b (*.f64 b c)))) (*.f64 d (*.f64 d d)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (neg.f64 a) (-.f64 (neg.f64 a) (/.f64 (*.f64 b c) d)) (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d d))) d)) |
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d d)) (*.f64 a a)) #s(literal 1 binary64)) (*.f64 (fma.f64 b (/.f64 c d) a) d)) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 a) (*.f64 a a) (/.f64 (*.f64 (*.f64 b c) (*.f64 c (*.f64 b (*.f64 b c)))) (*.f64 d (*.f64 d d))))) (neg.f64 (*.f64 d (fma.f64 (neg.f64 a) (-.f64 (neg.f64 a) (/.f64 (*.f64 b c) d)) (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d d)))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d d)) (*.f64 a a))) (neg.f64 (*.f64 d (fma.f64 b (/.f64 c d) a)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)))) (neg.f64 (neg.f64 d))) |
(/.f64 (*.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) #s(literal 1 binary64)) d) |
(/.f64 (*.f64 (fma.f64 (neg.f64 a) (*.f64 a a) (/.f64 (*.f64 (*.f64 b c) (*.f64 c (*.f64 b (*.f64 b c)))) (*.f64 d (*.f64 d d)))) (/.f64 #s(literal 1 binary64) d)) (fma.f64 (neg.f64 a) (-.f64 (neg.f64 a) (/.f64 (*.f64 b c) d)) (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d d)))) |
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d d)) (*.f64 a a)) (/.f64 #s(literal 1 binary64) d)) (fma.f64 b (/.f64 c d) a)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 b c) d) d) (*.f64 a d)) (*.f64 d d)) |
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 b (/.f64 c (*.f64 a d))) (*.f64 b c)) (*.f64 (*.f64 b c) #s(literal -1 binary64))) (*.f64 a d))) (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 a d) (*.f64 d (*.f64 a (*.f64 a d))))) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 b (/.f64 c (*.f64 a d)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d (*.f64 a (*.f64 a d))))))) |
(/.f64 (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 a d) (*.f64 d (*.f64 a (*.f64 a d))))) #s(literal -1 binary64)) (-.f64 (+.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d (*.f64 a (*.f64 a d)))) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 b c) #s(literal -1 binary64)) (*.f64 a d)))) |
(/.f64 (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 a d) (*.f64 d (*.f64 a (*.f64 a d))))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 b (/.f64 c (*.f64 a d))) (*.f64 b c)) (*.f64 (*.f64 b c) #s(literal -1 binary64))) (*.f64 a d)))) |
(/.f64 (+.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d (*.f64 a (*.f64 a d)))) #s(literal -1 binary64)) (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 a d) (*.f64 d (*.f64 a (*.f64 a d))))) #s(literal -1 binary64))) (neg.f64 (-.f64 (+.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d (*.f64 a (*.f64 a d)))) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 b c) #s(literal -1 binary64)) (*.f64 a d))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 a d) (*.f64 d (*.f64 a (*.f64 a d))))) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 b (/.f64 c (*.f64 a d))) (*.f64 b c)) (*.f64 (*.f64 b c) #s(literal -1 binary64))) (*.f64 a d))))) |
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d (*.f64 a (*.f64 a d)))) #s(literal -1 binary64))) (neg.f64 (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d (*.f64 a (*.f64 a d))))) (-.f64 #s(literal -1 binary64) (*.f64 b (/.f64 c (*.f64 a d))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d (*.f64 a (*.f64 a d)))) (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal 1 binary64))) (*.f64 (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal 1 binary64)) (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 a d) (*.f64 d (*.f64 a (*.f64 a d))))) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 (+.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d (*.f64 a (*.f64 a d)))) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 b c) #s(literal -1 binary64)) (*.f64 a d)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d (*.f64 a (*.f64 a d)))) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d (*.f64 a (*.f64 a d)))))) (neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 b (/.f64 c (*.f64 a d)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d (*.f64 a (*.f64 a d)))) (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d (*.f64 a (*.f64 a d)))) (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d (*.f64 a (*.f64 a d)))) (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal 1 binary64))) (*.f64 (/.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d (*.f64 a (*.f64 a d)))) (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal 1 binary64))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 a d) (*.f64 d (*.f64 a (*.f64 a d))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d (*.f64 a (*.f64 a d)))) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 b c) #s(literal -1 binary64)) (*.f64 a d))))) |
(*.f64 (+.f64 (/.f64 (*.f64 c (*.f64 b (*.f64 b c))) (*.f64 d (*.f64 a (*.f64 a d)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal 1 binary64)))) |
Compiled 24 307 to 1 962 computations (91.9% saved)
25 alts after pruning (17 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 426 | 6 | 1 432 |
| Fresh | 1 | 11 | 12 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 428 | 25 | 1 453 |
| Status | Accuracy | Program |
|---|---|---|
| 29.8% | (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| 36.2% | (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| 39.6% | (/.f64 #s(approx (- (* c b) (* a d)) (*.f64 b c)) (fma.f64 c c (*.f64 d d))) | |
| 51.1% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (*.f64 c b) d) (/.f64 #s(literal 1 binary64) d) (/.f64 a (neg.f64 d)))) | |
| 23.8% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a)))) (/.f64 (*.f64 c b) d)) d)) | |
| ✓ | 53.1% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) |
| ✓ | 35.2% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) |
| ✓ | 21.1% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) |
| ✓ | 19.7% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) |
| ✓ | 23.4% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 (neg.f64 a) c) d)) c)) |
| 23.3% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) | |
| 21.7% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 c (/.f64 b d))) d)) | |
| 45.9% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 c (-.f64 (/.f64 b d) (/.f64 a c)))) d)) | |
| 19.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a #s(approx (+ (* b (/ c (* a d))) -1) (*.f64 b (/.f64 c (*.f64 a d)))))) d)) | |
| ✓ | 41.8% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
| ✓ | 42.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d))) |
| 53.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) (/.f64 #s(literal 1 binary64) d))) | |
| 19.2% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d)) | |
| 41.7% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b)) | |
| ✓ | 41.9% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) d) a)) |
| 19.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (exp.f64 (*.f64 (log.f64 (neg.f64 d)) #s(literal -1 binary64))) a)) | |
| 20.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 (neg.f64 d) #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) | |
| 20.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 a (*.f64 d (/.f64 #s(literal -1 binary64) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))))) | |
| 18.3% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* c (/ b d)) (neg a)) d) (*.f64 c (/.f64 b (*.f64 d d))))) | |
| 17.9% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* c (/ b d)) (neg a)) d) (*.f64 b (/.f64 c (*.f64 d d))))) |
Compiled 883 to 336 computations (61.9% saved)
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) d) a)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* c (/ b d)) (neg a)) d) (*.f64 b (/.f64 c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* c (/ b d)) (neg a)) d) (*.f64 c (/.f64 b (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* d a) c)) c) (neg.f64 (*.f64 d (/.f64 a (*.f64 c c)))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 (neg.f64 d) #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 a (*.f64 d (/.f64 #s(literal -1 binary64) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 c (/.f64 b d))) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) |
(/.f64 #s(approx (- (* c b) (* a d)) (*.f64 b c)) (fma.f64 c c (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 (neg.f64 a) c) d)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) (/.f64 #s(literal 1 binary64) d))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) |
(/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a #s(approx (+ (* b (/ c (* a d))) -1) (*.f64 b (/.f64 c (*.f64 a d)))))) d)) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))) d)) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (-.f64 (*.f64 c b) (*.f64 d a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 c (-.f64 (/.f64 b d) (/.f64 a c)))) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (*.f64 c b) d) (/.f64 #s(literal 1 binary64) d) (/.f64 a (neg.f64 d)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (-.f64 (*.f64 c b) (*.f64 d a)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 c b) (*.f64 d a))) (neg.f64 (fma.f64 d d (*.f64 c c))))) |
(fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 (*.f64 a (*.f64 a a))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a)))) (/.f64 (*.f64 c b) d)) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (exp.f64 (*.f64 (log.f64 (neg.f64 d)) #s(literal -1 binary64))) a)) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) |
(fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) |
5 calls:
| 16.0ms | d |
| 13.0ms | a |
| 12.0ms | c |
| 12.0ms | b |
| 11.0ms | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.6% | 4 | a |
| 69.1% | 5 | b |
| 84.0% | 4 | c |
| 86.2% | 5 | d |
| 74.4% | 3 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
Compiled 39 to 27 computations (30.8% saved)
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) d) a)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* c (/ b d)) (neg a)) d) (*.f64 b (/.f64 c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* c (/ b d)) (neg a)) d) (*.f64 c (/.f64 b (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* d a) c)) c) (neg.f64 (*.f64 d (/.f64 a (*.f64 c c)))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 (neg.f64 d) #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 a (*.f64 d (/.f64 #s(literal -1 binary64) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 c (/.f64 b d))) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) |
(/.f64 #s(approx (- (* c b) (* a d)) (*.f64 b c)) (fma.f64 c c (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 (neg.f64 a) c) d)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) (/.f64 #s(literal 1 binary64) d))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) |
(/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a #s(approx (+ (* b (/ c (* a d))) -1) (*.f64 b (/.f64 c (*.f64 a d)))))) d)) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 a (fma.f64 b (/.f64 c (*.f64 a d)) #s(literal -1 binary64)))) d)) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c c))) (-.f64 (*.f64 c b) (*.f64 d a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 c (-.f64 (/.f64 b d) (/.f64 a c)))) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (*.f64 c b) d) (/.f64 #s(literal 1 binary64) d) (/.f64 a (neg.f64 d)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (-.f64 (*.f64 c b) (*.f64 d a)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 c b) (*.f64 d a))) (neg.f64 (fma.f64 d d (*.f64 c c))))) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) |
1 calls:
| 13.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.8% | 5 | d |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) d) a)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* c (/ b d)) (neg a)) d) (*.f64 b (/.f64 c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* c (/ b d)) (neg a)) d) (*.f64 c (/.f64 b (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* d a) c)) c) (neg.f64 (*.f64 d (/.f64 a (*.f64 c c)))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 (neg.f64 d) #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 a (*.f64 d (/.f64 #s(literal -1 binary64) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 c (/.f64 b d))) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) |
(/.f64 #s(approx (- (* c b) (* a d)) (*.f64 b c)) (fma.f64 c c (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 (neg.f64 a) c) d)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (neg.f64 d) (/.f64 a c) b) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) (/.f64 #s(literal 1 binary64) d))) |
| Outputs |
|---|
#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 c (/.f64 b d) (neg.f64 a)) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) |
2 calls:
| 9.0ms | c |
| 9.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.4% | 3 | c |
| 81.1% | 3 | d |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) d) a)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* c (/ b d)) (neg a)) d) (*.f64 b (/.f64 c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* c (/ b d)) (neg a)) d) (*.f64 c (/.f64 b (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* d a) c)) c) (neg.f64 (*.f64 d (/.f64 a (*.f64 c c)))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 (neg.f64 d) #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 a (*.f64 d (/.f64 #s(literal -1 binary64) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 c (/.f64 b d))) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) |
(/.f64 #s(approx (- (* c b) (* a d)) (*.f64 b c)) (fma.f64 c c (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 (neg.f64 a) c) d)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) |
1 calls:
| 8.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.3% | 3 | c |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) d) a)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* c (/ b d)) (neg a)) d) (*.f64 b (/.f64 c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* c (/ b d)) (neg a)) d) (*.f64 c (/.f64 b (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* d a) c)) c) (neg.f64 (*.f64 d (/.f64 a (*.f64 c c)))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 (neg.f64 d) #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 a (*.f64 d (/.f64 #s(literal -1 binary64) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 c (/.f64 b d))) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) |
(/.f64 #s(approx (- (* c b) (* a d)) (*.f64 b c)) (fma.f64 c c (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 (neg.f64 a) c) d)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) |
1 calls:
| 8.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.9% | 3 | c |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) d) a)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* c (/ b d)) (neg a)) d) (*.f64 b (/.f64 c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* c (/ b d)) (neg a)) d) (*.f64 c (/.f64 b (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* d a) c)) c) (neg.f64 (*.f64 d (/.f64 a (*.f64 c c)))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 (neg.f64 d) #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 a (*.f64 d (/.f64 #s(literal -1 binary64) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 c (/.f64 b d))) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) |
(/.f64 #s(approx (- (* c b) (* a d)) (*.f64 b c)) (fma.f64 c c (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 (neg.f64 a) c) d)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d))) |
2 calls:
| 14.0ms | d |
| 8.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.8% | 3 | d |
| 73.0% | 3 | c |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) d) a)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal 1 binary64) c) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* c (/ b d)) (neg a)) d) (*.f64 b (/.f64 c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* c (/ b d)) (neg a)) d) (*.f64 c (/.f64 b (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* d a) c)) c) (neg.f64 (*.f64 d (/.f64 a (*.f64 c c)))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 (neg.f64 d) #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (neg.f64 a) #s(approx (+ (* d d) (* c c)) (*.f64 c c))) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 #s(approx (+ (* d d) (* c c)) (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 a (*.f64 d (/.f64 #s(literal -1 binary64) #s(approx (+ (* d d) (* c c)) (*.f64 c c)))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 c (fma.f64 c c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* c (/ b d)) (neg a)) (*.f64 c (/.f64 b d))) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) |
(/.f64 #s(approx (- (* c b) (* a d)) (*.f64 b c)) (fma.f64 c c (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (*.f64 (/.f64 (neg.f64 a) c) d)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* d a) c)) (/.f64 (*.f64 d (neg.f64 a)) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 d a) (neg.f64 (fma.f64 d d (*.f64 c c))))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d))) |
3 calls:
| 9.0ms | c |
| 7.0ms | d |
| 7.0ms | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.4% | 3 | c |
| 56.5% | 4 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 67.8% | 3 | d |
Compiled 29 to 19 computations (34.5% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
5 calls:
| 1.0ms | a |
| 1.0ms | c |
| 1.0ms | b |
| 1.0ms | d |
| 1.0ms | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 41.8% | 1 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 41.8% | 1 | b |
| 41.8% | 1 | c |
| 41.8% | 1 | a |
| 41.8% | 1 | d |
Compiled 39 to 27 computations (30.8% saved)
| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 3.9781365199233544e+111 | 1.2899028739496398e+115 |
| 14.0ms | 1.347475245853224e-135 | 1.660432759196426e-133 |
| 14.0ms | -2.2440040500916204e-99 | -1.4197588165534634e-104 |
| 13.0ms | -1.483969450641866e+111 | -9.033851336124975e+109 |
| 36.0ms | 496× | 0 | valid |
Compiled 1 181 to 653 computations (44.7% saved)
ival-mult: 12.0ms (54.8% of total)ival-add: 4.0ms (18.3% of total)ival-div: 3.0ms (13.7% of total)ival-sub: 2.0ms (9.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 1.7899170155146426e+105 | 8.060995721188579e+105 |
| 0.0ms | 1.347475245853224e-135 | 1.660432759196426e-133 |
| 1.0ms | -2.2440040500916204e-99 | -1.4197588165534634e-104 |
| 1.0ms | -1.483969450641866e+111 | -9.033851336124975e+109 |
| 6.0ms | 96× | 0 | valid |
Compiled 1 008 to 598 computations (40.7% saved)
ival-mult: 2.0ms (53.7% of total)ival-div: 1.0ms (26.8% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 26721469849300.543 | 1223751892347236600.0 |
| 17.0ms | -0.00015987202867203168 | -7.215459615632989e-15 |
| 20.0ms | 288× | 0 | valid |
Compiled 562 to 342 computations (39.1% saved)
ival-mult: 7.0ms (56% of total)ival-div: 2.0ms (16% of total)ival-add: 2.0ms (16% of total)ival-sub: 1.0ms (8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 26721469849300.543 | 1223751892347236600.0 |
| 1.0ms | -0.00015987202867203168 | -7.215459615632989e-15 |
Compiled 562 to 342 computations (39.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 26721469849300.543 | 1223751892347236600.0 |
| 1.0ms | -0.00015987202867203168 | -7.215459615632989e-15 |
Compiled 562 to 342 computations (39.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 8.717897674308573e+157 | 6.92341952454767e+160 |
| 19.0ms | -1.8529941846806248e+51 | -1.352342021979271e+30 |
| 21.0ms | 304× | 0 | valid |
Compiled 497 to 322 computations (35.2% saved)
ival-mult: 7.0ms (53.2% of total)ival-div: 3.0ms (22.8% of total)ival-sub: 1.0ms (7.6% of total)ival-add: 1.0ms (7.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 1.2105411526974868e+45 | 2.555339041494155e+51 |
| 16.0ms | -8.199389949149932e+27 | -5637889146443.006 |
| 21.0ms | 304× | 0 | valid |
Compiled 383 to 265 computations (30.8% saved)
ival-mult: 9.0ms (66.5% of total)ival-div: 2.0ms (14.8% 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)| 1× | egg-herbie |
| 20× | *-commutative_binary64 |
| 18× | +-commutative_binary64 |
| 18× | sub-neg_binary64 |
| 14× | neg-sub0_binary64 |
| 14× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 85 | 653 |
| 1 | 104 | 653 |
| 2 | 126 | 653 |
| 3 | 139 | 653 |
| 4 | 146 | 653 |
| 5 | 149 | 653 |
| 6 | 150 | 653 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 d #s(literal -100000000000000002356936751417025583324953279505688186312991253926828166846616173259830936159244951026231410688 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) (if (<=.f64 d #s(literal -5325890373554249/80695308690215893426747474125094121072803306025913234775958104891895238188026287332176417290004307232371974124148359168 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) (if (<=.f64 d #s(literal 3324537336144519/51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) (if (<=.f64 d #s(literal 7500000000000000116695620971001322682011510476907960750273279353231253358735667774487390424362855857571547106508800 binary64)) (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)))))) |
(if (<=.f64 d #s(literal -100000000000000002356936751417025583324953279505688186312991253926828166846616173259830936159244951026231410688 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) (if (<=.f64 d #s(literal -5325890373554249/80695308690215893426747474125094121072803306025913234775958104891895238188026287332176417290004307232371974124148359168 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) (if (<=.f64 d #s(literal 3324537336144519/51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) (if (<=.f64 d #s(literal 2119999999999999940403856921304807524888897107009139530785556148890176334933067120313405010025070217658368 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)))))) |
(if (<=.f64 c #s(literal -2115620184325601/37778931862957161709568 binary64)) #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 28000000000000000 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)))) |
(if (<=.f64 c #s(literal -2115620184325601/37778931862957161709568 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) (if (<=.f64 c #s(literal 28000000000000000 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)))) |
(if (<=.f64 c #s(literal -2115620184325601/37778931862957161709568 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) (if (<=.f64 c #s(literal 28000000000000000 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 (-.f64 b (*.f64 a (/.f64 d c))) c)))) |
(if (<=.f64 d #s(literal -2150000000000000000530696896512 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d))) (if (<=.f64 d #s(literal 88000000000000004632772996976793837798494849641315348115527417465042999761880041567074230553597336071581747720186709417480011493135792831216792411198627774464 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d))))) |
(if (<=.f64 d #s(literal -21000000000000 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d))) (if (<=.f64 d #s(literal 48000000000000001698952274090624064543489261568 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
| Outputs |
|---|
(if (<=.f64 d #s(literal -100000000000000002356936751417025583324953279505688186312991253926828166846616173259830936159244951026231410688 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) (if (<=.f64 d #s(literal -5325890373554249/80695308690215893426747474125094121072803306025913234775958104891895238188026287332176417290004307232371974124148359168 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) (if (<=.f64 d #s(literal 3324537336144519/51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) (if (<=.f64 d #s(literal 7500000000000000116695620971001322682011510476907960750273279353231253358735667774487390424362855857571547106508800 binary64)) (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 c b) (fma.f64 d d (*.f64 c c)))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)))))) |
(if (<=.f64 d #s(literal -100000000000000002356936751417025583324953279505688186312991253926828166846616173259830936159244951026231410688 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) (if (<=.f64 d #s(literal -5325890373554249/80695308690215893426747474125094121072803306025913234775958104891895238188026287332176417290004307232371974124148359168 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 d a)) (fma.f64 c c (*.f64 d d))) (if (<=.f64 d #s(literal 3324537336144519/51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) (if (<=.f64 d #s(literal 7500000000000000116695620971001322682011510476907960750273279353231253358735667774487390424362855857571547106508800 binary64)) (fma.f64 (neg.f64 a) (/.f64 d (fma.f64 d d (*.f64 c c))) (/.f64 (*.f64 b c) (fma.f64 d d (*.f64 c c)))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)))))) |
(if (<=.f64 d #s(literal -100000000000000002356936751417025583324953279505688186312991253926828166846616173259830936159244951026231410688 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) (if (<=.f64 d #s(literal -5325890373554249/80695308690215893426747474125094121072803306025913234775958104891895238188026287332176417290004307232371974124148359168 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) (if (<=.f64 d #s(literal 3324537336144519/51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) (if (<=.f64 d #s(literal 2119999999999999940403856921304807524888897107009139530785556148890176334933067120313405010025070217658368 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 c c (*.f64 d d))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)))))) |
(if (<=.f64 d #s(literal -100000000000000002356936751417025583324953279505688186312991253926828166846616173259830936159244951026231410688 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) (if (<=.f64 d #s(literal -5325890373554249/80695308690215893426747474125094121072803306025913234775958104891895238188026287332176417290004307232371974124148359168 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 d a)) (fma.f64 c c (*.f64 d d))) (if (<=.f64 d #s(literal 3324537336144519/51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243584 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) (if (<=.f64 d #s(literal 2119999999999999940403856921304807524888897107009139530785556148890176334933067120313405010025070217658368 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 d a)) (fma.f64 c c (*.f64 d d))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)))))) |
(if (<=.f64 c #s(literal -2115620184325601/37778931862957161709568 binary64)) #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 28000000000000000 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)))) |
(if (<=.f64 c #s(literal -2115620184325601/37778931862957161709568 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) (if (<=.f64 c #s(literal 28000000000000000 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 c (/.f64 b d) (neg.f64 a)) d)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)))) |
(if (<=.f64 c #s(literal -2115620184325601/37778931862957161709568 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) (if (<=.f64 c #s(literal 28000000000000000 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 (-.f64 b (*.f64 a (/.f64 d c))) c)))) |
(if (<=.f64 d #s(literal -2150000000000000000530696896512 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d))) (if (<=.f64 d #s(literal 88000000000000004632772996976793837798494849641315348115527417465042999761880041567074230553597336071581747720186709417480011493135792831216792411198627774464 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 a (/.f64 d c))) c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d))))) |
(if (<=.f64 d #s(literal -21000000000000 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d))) (if (<=.f64 d #s(literal 48000000000000001698952274090624064543489261568 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 a (neg.f64 d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
| 7 930× | lower-fma.f64 |
| 7 930× | lower-fma.f32 |
| 5 586× | lower-fma.f64 |
| 5 586× | lower-fma.f32 |
| 5 346× | 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 |
| 0 | 39 | 243 |
| 0 | 59 | 239 |
| 1 | 232 | 239 |
| 2 | 1464 | 239 |
| 0 | 8191 | 239 |
| 0 | 191 | 1511 |
| 1 | 623 | 1461 |
| 2 | 1863 | 1441 |
| 3 | 5484 | 1432 |
| 0 | 8487 | 1356 |
| 0 | 32 | 197 |
| 0 | 50 | 199 |
| 1 | 223 | 185 |
| 2 | 1711 | 185 |
| 0 | 8216 | 185 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 732 to 295 computations (59.7% saved)
Compiled 774 to 206 computations (73.4% saved)
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