
Time bar (total: 7.3s)
| 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)
| 691.0ms | 8 256× | 0 | valid |
ival-mult: 312.0ms (64.7% of total)ival-div: 83.0ms (17.2% of total)ival-sub: 38.0ms (7.9% of total)ival-add: 38.0ms (7.9% of total)ival-true: 7.0ms (1.5% of total)ival-assert: 4.0ms (0.8% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 104 | 0 | - | 1 | (-3.3450921288051666e+22 -1.5550724740553993e-158 -1.7042348165094444e-155 6.152949615319269e-260) | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 2 | 0 | - | 0 | - | (-.f64 (*.f64 b c) (*.f64 a d)) |
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 c c) (*.f64 d d)) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | d |
| 0 | 0 | - | 0 | - | (*.f64 d d) |
| 0 | 0 | - | 0 | - | (*.f64 c c) |
| 0 | 0 | - | 0 | - | (*.f64 b c) |
| 0 | 0 | - | 0 | - | c |
| 0 | 0 | - | 0 | - | (*.f64 a d) |
| 0 | 0 | - | 0 | - | b |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) | o/o | 46 | 0 |
| ↳ | (*.f64 b c) | overflow | 30 | |
| ↳ | (-.f64 (*.f64 b c) (*.f64 a d)) | overflow | 58 | |
| ↳ | (*.f64 a d) | overflow | 33 | |
| ↳ | (+.f64 (*.f64 c c) (*.f64 d d)) | overflow | 111 | |
| ↳ | (*.f64 c c) | overflow | 57 | |
| ↳ | (*.f64 d d) | overflow | 69 | |
/.f64 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) | n/o | 32 | 0 |
| ↳ | (+.f64 (*.f64 c c) (*.f64 d d)) | overflow | 111 | |
| ↳ | (*.f64 c c) | overflow | 57 | |
| ↳ | (*.f64 d d) | overflow | 69 | |
/.f64 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) | o/n | 12 | 0 |
| ↳ | (*.f64 b c) | overflow | 30 | |
| ↳ | (-.f64 (*.f64 b c) (*.f64 a d)) | overflow | 58 | |
| ↳ | (*.f64 a d) | overflow | 33 | |
/.f64 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) | n/u | 6 | 0 |
| ↳ | (+.f64 (*.f64 c c) (*.f64 d d)) | underflow | 18 | |
| ↳ | (*.f64 c c) | underflow | 67 | |
| ↳ | (*.f64 d d) | underflow | 72 | |
/.f64 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) | u/u | 5 | 0 |
| ↳ | (*.f64 b c) | underflow | 40 | |
| ↳ | (-.f64 (*.f64 b c) (*.f64 a d)) | underflow | 7 | |
| ↳ | (*.f64 a d) | underflow | 27 | |
| ↳ | (+.f64 (*.f64 c c) (*.f64 d d)) | underflow | 18 | |
| ↳ | (*.f64 c c) | underflow | 67 | |
| ↳ | (*.f64 d d) | underflow | 72 | |
-.f64 | (-.f64 (*.f64 b c) (*.f64 a d)) | nan-rescue | 2 | 0 |
| ↳ | (*.f64 b c) | overflow | 30 | |
| ↳ | (*.f64 a d) | overflow | 33 | |
/.f64 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) | u/n | 2 | 0 |
| ↳ | (*.f64 b c) | underflow | 40 | |
| ↳ | (-.f64 (*.f64 b c) (*.f64 a d)) | underflow | 7 | |
| ↳ | (*.f64 a d) | underflow | 27 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 103 | 1 |
| - | 0 | 152 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 103 | 0 | 1 |
| - | 0 | 0 | 152 |
| number | freq |
|---|---|
| 0 | 153 |
| 1 | 101 |
| 2 | 2 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 41.0ms | 512× | 0 | valid |
Compiled 109 to 37 computations (66.1% saved)
ival-mult: 14.0ms (62.9% of total)ival-div: 3.0ms (13.5% of total)ival-sub: 2.0ms (9% of total)ival-add: 2.0ms (9% of total)ival-true: 1.0ms (4.5% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 214 |
| 1 | 202 | 214 |
| 2 | 402 | 214 |
| 3 | 976 | 214 |
| 4 | 2796 | 214 |
| 5 | 4580 | 214 |
| 6 | 5390 | 214 |
| 7 | 5495 | 214 |
| 8 | 5515 | 214 |
| 9 | 5531 | 214 |
| 10 | 5531 | 214 |
| 11 | 5995 | 214 |
| 12 | 6203 | 214 |
| 13 | 6203 | 214 |
| 14 | 6203 | 214 |
| 15 | 6299 | 214 |
| 16 | 6299 | 214 |
| 17 | 6371 | 214 |
| 18 | 6403 | 214 |
| 19 | 6403 | 214 |
| 20 | 6403 | 214 |
| 0 | 11 | 15 |
| 0 | 18 | 15 |
| 1 | 29 | 15 |
| 2 | 51 | 15 |
| 3 | 81 | 15 |
| 4 | 140 | 15 |
| 5 | 239 | 15 |
| 6 | 382 | 15 |
| 7 | 630 | 15 |
| 8 | 1092 | 15 |
| 9 | 1766 | 15 |
| 10 | 2007 | 15 |
| 11 | 2047 | 15 |
| 12 | 2075 | 15 |
| 13 | 2075 | 15 |
| 0 | 2075 | 14 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 (fma.f64 (neg.f64 a) d (*.f64 c b)) (fma.f64 d d (*.f64 c c))) |
Compiled 15 to 11 computations (26.7% saved)
Compiled 0 to 4 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 61.8% | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
Compiled 15 to 11 computations (26.7% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 b c) | |
| cost-diff | 0 | (-.f64 (*.f64 b c) (*.f64 a d)) | |
| cost-diff | 0 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) | |
| cost-diff | 128 | (+.f64 (*.f64 c c) (*.f64 d d)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 45 |
| 0 | 18 | 45 |
| 1 | 29 | 45 |
| 2 | 51 | 45 |
| 3 | 81 | 45 |
| 4 | 140 | 45 |
| 5 | 239 | 45 |
| 6 | 382 | 45 |
| 7 | 630 | 45 |
| 8 | 1092 | 45 |
| 9 | 1766 | 45 |
| 10 | 2007 | 45 |
| 11 | 2047 | 45 |
| 12 | 2075 | 45 |
| 13 | 2075 | 45 |
| 0 | 2075 | 43 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(-.f64 (*.f64 b c) (*.f64 a d)) |
(*.f64 b c) |
b |
c |
(*.f64 a d) |
a |
d |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(*.f64 c c) |
(*.f64 d d) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 (fma.f64 (neg.f64 a) d (*.f64 c b)) (fma.f64 d d (*.f64 c c))) |
(-.f64 (*.f64 b c) (*.f64 a d)) |
(fma.f64 (neg.f64 a) d (*.f64 c b)) |
(*.f64 b c) |
(*.f64 c b) |
b |
c |
(*.f64 a d) |
(*.f64 d a) |
a |
d |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(fma.f64 d d (*.f64 c c)) |
(*.f64 c c) |
(*.f64 d d) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 a d) | |
| accuracy | 0.00390625 | (+.f64 (*.f64 c c) (*.f64 d d)) | |
| accuracy | 0.45312293583020585 | (-.f64 (*.f64 b c) (*.f64 a d)) | |
| accuracy | 24.213870955406794 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 47.0ms | 256× | 0 | valid |
Compiled 47 to 13 computations (72.3% saved)
ival-mult: 31.0ms (87.1% of total)ival-div: 2.0ms (5.6% of total)ival-sub: 1.0ms (2.8% of total)ival-add: 1.0ms (2.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ()) |
#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ()) |
#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (pow d 2) (taylor 0 c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a d)) (taylor 0 c) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (- (* b c) (* a d)) (taylor 0 c) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (- (* b c) (* a d)) (taylor 0 c) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (- (* b c) (* a d)) (taylor 0 c) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* b c) (taylor 0 c) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (* b c) (taylor 0 c) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (* b c) (taylor 0 c) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (* b c) (taylor 0 c) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (pow c 2) (taylor inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor inf c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ b (* -1 (/ (* a d) c))) c) (taylor inf c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) (taylor inf c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) (taylor inf c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* b c) (taylor inf c) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ b (* -1 (/ (* a d) c)))) (taylor inf c) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ b (* -1 (/ (* a d) c)))) (taylor inf c) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ b (* -1 (/ (* a d) c)))) (taylor inf c) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* b c) (taylor inf c) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (* b c) (taylor inf c) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (* b c) (taylor inf c) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (* b c) (taylor inf c) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (pow c 2) (taylor -inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor -inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor -inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor -inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor -inf c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) (taylor -inf c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) (taylor -inf c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) (taylor -inf c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* b c) (taylor -inf c) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 b) (/ (* a d) c)))) (taylor -inf c) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 b) (/ (* a d) c)))) (taylor -inf c) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 b) (/ (* a d) c)))) (taylor -inf c) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
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#s(alt (* a d) (taylor 0 d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor 0 d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (pow d 2) (taylor inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor inf d) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 a) (/ (* b c) d)) d) (taylor inf d) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) (taylor inf d) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) (taylor inf d) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a d)) (taylor inf d) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* d (- (/ (* b c) d) a)) (taylor inf d) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* d (- (/ (* b c) d) a)) (taylor inf d) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* d (- (/ (* b c) d) a)) (taylor inf d) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (pow d 2) (taylor -inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor -inf d) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) (taylor -inf d) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) (taylor -inf d) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) (taylor -inf d) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a d)) (taylor -inf d) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) (taylor -inf d) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) (taylor -inf d) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) (taylor -inf d) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor -inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor -inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor -inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor -inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | d | @ | inf | ((+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (* a d)) |
| 1.0ms | b | @ | inf | ((+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (* a d)) |
| 1.0ms | c | @ | inf | ((+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (* a d)) |
| 1.0ms | c | @ | 0 | ((+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (* a d)) |
| 1.0ms | a | @ | -inf | ((+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (* a d)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 191 | 1511 |
| 1 | 623 | 1461 |
| 2 | 1861 | 1441 |
| 3 | 5489 | 1432 |
| 0 | 8501 | 1356 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow d 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(* -1 (* a d)) |
(- (* b c) (* a d)) |
(- (* b c) (* a d)) |
(- (* b c) (* a d)) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(* b c) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) |
(* b c) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a d)) |
(- (* b c) (* a d)) |
(- (* b c) (* a d)) |
(- (* b c) (* a d)) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b c) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* b c) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* b c) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a d)) |
(* a (- (/ (* b c) a) d)) |
(* a (- (/ (* b c) a) d)) |
(* a (- (/ (* b c) a) d)) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a d)) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(pow c 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(* b c) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(* -1 (* a d)) |
(* d (- (/ (* b c) d) a)) |
(* d (- (/ (* b c) d) a)) |
(* d (- (/ (* b c) d) a)) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(* -1 (* a d)) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
| Outputs |
|---|
(pow d 2) |
(*.f64 d d) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(/.f64 (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) d) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) (neg.f64 b) (/.f64 a (pow.f64 d #s(literal 3 binary64)))) c (/.f64 b (*.f64 d d))) c (/.f64 (neg.f64 a) d)) |
(* -1 (* a d)) |
(*.f64 (neg.f64 a) d) |
(- (* b c) (* a d)) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(- (* b c) (* a d)) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(- (* b c) (* a d)) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(pow c 2) |
(*.f64 c c) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(fma.f64 c c (*.f64 d d)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(fma.f64 c c (*.f64 d d)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(fma.f64 c c (*.f64 d d)) |
(/ b c) |
(/.f64 b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/.f64 (-.f64 b (/.f64 (fma.f64 a d (/.f64 (*.f64 b (*.f64 d d)) c)) c)) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(/.f64 (fma.f64 (pow.f64 (/.f64 d c) #s(literal 3 binary64)) a (-.f64 b (/.f64 (fma.f64 a d (/.f64 (*.f64 b (*.f64 d d)) c)) c))) c) |
(* b c) |
(*.f64 b c) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(pow c 2) |
(*.f64 c c) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(fma.f64 c c (*.f64 d d)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(fma.f64 c c (*.f64 d d)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(fma.f64 c c (*.f64 d d)) |
(/ b c) |
(/.f64 b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(/.f64 (-.f64 b (/.f64 (fma.f64 a d (/.f64 (*.f64 b (*.f64 d d)) c)) c)) c) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) |
(/.f64 (fma.f64 (pow.f64 (/.f64 d c) #s(literal 3 binary64)) a (-.f64 b (/.f64 (fma.f64 a d (/.f64 (*.f64 b (*.f64 d d)) c)) c))) c) |
(* b c) |
(*.f64 b c) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(* -1 (* a d)) |
(*.f64 (neg.f64 a) d) |
(- (* b c) (* a d)) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(- (* b c) (* a d)) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(- (* b c) (* a d)) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(* b c) |
(*.f64 b c) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(* b c) |
(*.f64 b c) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(* b c) |
(*.f64 b c) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) a) c (/.f64 (neg.f64 d) (fma.f64 c c (*.f64 d d)))) a) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) a) c (/.f64 (neg.f64 d) (fma.f64 c c (*.f64 d d)))) a) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) a) c (/.f64 (neg.f64 d) (fma.f64 c c (*.f64 d d)))) a) |
(* -1 (* a d)) |
(*.f64 (neg.f64 a) d) |
(* a (- (/ (* b c) a) d)) |
(*.f64 (-.f64 (/.f64 (*.f64 b c) a) d) a) |
(* a (- (/ (* b c) a) d)) |
(*.f64 (-.f64 (/.f64 (*.f64 b c) a) d) a) |
(* a (- (/ (* b c) a) d)) |
(*.f64 (-.f64 (/.f64 (*.f64 b c) a) d) a) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) a) c (/.f64 (neg.f64 d) (fma.f64 c c (*.f64 d d)))) a) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) a) c (/.f64 (neg.f64 d) (fma.f64 c c (*.f64 d d)))) a) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) a) c (/.f64 (neg.f64 d) (fma.f64 c c (*.f64 d d)))) a) |
(* -1 (* a d)) |
(*.f64 (neg.f64 a) d) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(*.f64 (-.f64 (/.f64 (*.f64 b c) a) d) a) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(*.f64 (-.f64 (/.f64 (*.f64 b c) a) d) a) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(*.f64 (-.f64 (/.f64 (*.f64 b c) a) d) a) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(pow c 2) |
(*.f64 c c) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(/ b c) |
(/.f64 b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(/.f64 (-.f64 b (/.f64 (fma.f64 a d (/.f64 (*.f64 b (*.f64 d d)) c)) c)) c) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 a (pow.f64 c #s(literal 4 binary64))) d) (/.f64 b (pow.f64 c #s(literal 3 binary64)))) d (/.f64 (/.f64 (neg.f64 a) c) c)) d (/.f64 b c)) |
(* b c) |
(*.f64 b c) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(pow d 2) |
(*.f64 d d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(fma.f64 c c (*.f64 d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(fma.f64 c c (*.f64 d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(fma.f64 c c (*.f64 d d)) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/.f64 (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(/.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) d) |
(* -1 (* a d)) |
(*.f64 (neg.f64 a) d) |
(* d (- (/ (* b c) d) a)) |
(*.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) |
(* d (- (/ (* b c) d) a)) |
(*.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) |
(* d (- (/ (* b c) d) a)) |
(*.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(pow d 2) |
(*.f64 d d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(fma.f64 c c (*.f64 d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(fma.f64 c c (*.f64 d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(fma.f64 c c (*.f64 d d)) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(/.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) d) |
(* -1 (* a d)) |
(*.f64 (neg.f64 a) d) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(*.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(*.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(*.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
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 |
|---|
#<batchref> |
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Compiled 18 441 to 1 350 computations (92.7% saved)
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 634 | 12 | 646 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 635 | 12 | 647 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 60.5% | (fma.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)) |
| 37.1% | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| ▶ | 34.0% | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
| 36.9% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 a (pow.f64 c #s(literal 4 binary64))) d) (/.f64 b (pow.f64 c #s(literal 3 binary64)))) d (/.f64 (/.f64 (neg.f64 a) c) c)) d (/.f64 b c))) | |
| 55.4% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) d)) | |
| 42.3% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (pow.f64 (/.f64 d c) #s(literal 3 binary64)) a (-.f64 b (/.f64 (fma.f64 a d (/.f64 (*.f64 b (*.f64 d d)) c)) c))) c)) | |
| 57.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) | |
| ▶ | 47.6% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
| 49.5% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) | |
| ▶ | 38.8% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
| ▶ | 40.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) |
| 45.1% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
Compiled 344 to 262 computations (23.8% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (*.f64 a d) c) | |
| cost-diff | 0 | (-.f64 b (/.f64 (*.f64 a d) c)) | |
| cost-diff | 0 | (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) | |
| cost-diff | 0 | (*.f64 a d) | |
| cost-diff | 0 | (*.f64 b c) | |
| cost-diff | 0 | (-.f64 (*.f64 b c) (*.f64 a d)) | |
| cost-diff | 0 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| cost-diff | 0 | (fma.f64 c c (*.f64 d d)) | |
| cost-diff | 0 | (/.f64 b (fma.f64 c c (*.f64 d d))) | |
| cost-diff | 0 | (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) | |
| cost-diff | 0 | (/.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 a (fma.f64 d d (*.f64 c c))) | |
| cost-diff | 0 | (neg.f64 d) | |
| cost-diff | 1408 | (fma.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 240 |
| 0 | 53 | 240 |
| 1 | 93 | 233 |
| 2 | 144 | 233 |
| 3 | 256 | 233 |
| 4 | 466 | 233 |
| 5 | 758 | 233 |
| 6 | 1150 | 233 |
| 7 | 1685 | 233 |
| 8 | 3636 | 233 |
| 9 | 4166 | 233 |
| 10 | 4191 | 233 |
| 11 | 4204 | 233 |
| 12 | 4216 | 233 |
| 13 | 4217 | 233 |
| 14 | 4559 | 233 |
| 15 | 4711 | 233 |
| 16 | 4711 | 233 |
| 17 | 4711 | 233 |
| 0 | 4711 | 233 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)) |
(neg.f64 d) |
d |
(/.f64 a (fma.f64 d d (*.f64 c c))) |
a |
(fma.f64 d d (*.f64 c c)) |
(*.f64 c c) |
c |
(*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b) |
(/.f64 c (fma.f64 d d (*.f64 c c))) |
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 b (fma.f64 c c (*.f64 d d))) c)) |
(*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c) |
(/.f64 b (fma.f64 c c (*.f64 d d))) |
b |
(fma.f64 c c (*.f64 d d)) |
c |
(*.f64 d d) |
d |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(-.f64 (*.f64 b c) (*.f64 a d)) |
(*.f64 b c) |
b |
c |
(*.f64 a d) |
a |
d |
#s(approx (+ (* c c) (* d d)) (*.f64 c c)) |
(*.f64 c c) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
(/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) |
(-.f64 b (/.f64 (*.f64 a d) c)) |
b |
(/.f64 (*.f64 a d) c) |
(*.f64 a d) |
a |
d |
c |
| Outputs |
|---|
(fma.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)) |
(/.f64 (fma.f64 a (neg.f64 d) (*.f64 b c)) (fma.f64 d d (*.f64 c c))) |
(neg.f64 d) |
d |
(/.f64 a (fma.f64 d d (*.f64 c c))) |
a |
(fma.f64 d d (*.f64 c c)) |
(*.f64 c c) |
c |
(*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b) |
(*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c)))) |
(/.f64 c (fma.f64 d d (*.f64 c c))) |
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 b (fma.f64 c c (*.f64 d d))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c))))) |
(*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c) |
(*.f64 b (/.f64 c (fma.f64 d d (*.f64 c c)))) |
(/.f64 b (fma.f64 c c (*.f64 d d))) |
(/.f64 b (fma.f64 d d (*.f64 c c))) |
b |
(fma.f64 c c (*.f64 d d)) |
(fma.f64 d d (*.f64 c c)) |
c |
(*.f64 d d) |
d |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (fma.f64 a (neg.f64 d) (*.f64 b c)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(-.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 |
#s(approx (+ (* c c) (* d d)) (*.f64 c c)) |
(*.f64 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 a d) c)) c) |
(-.f64 b (/.f64 (*.f64 a d) c)) |
b |
(/.f64 (*.f64 a d) c) |
(*.f64 a d) |
a |
d |
c |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 a d) | |
| accuracy | 1.2420136351993503 | (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) | |
| accuracy | 5.668397777476505 | (/.f64 (*.f64 a d) c) | |
| accuracy | 32.407111596009756 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) | |
| accuracy | 0 | (*.f64 a d) | |
| accuracy | 0.45312293583020585 | (-.f64 (*.f64 b c) (*.f64 a d)) | |
| accuracy | 24.213870955406794 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| accuracy | 28.6908391511934 | #s(approx (+ (* c c) (* d d)) (*.f64 c c)) | |
| accuracy | 0.00390625 | (fma.f64 c c (*.f64 d d)) | |
| accuracy | 7.47833168576061 | (/.f64 b (fma.f64 c c (*.f64 d d))) | |
| accuracy | 9.10474163341843 | (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c) | |
| accuracy | 29.09529567643005 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) | |
| accuracy | 0 | (/.f64 b c) | |
| accuracy | 39.17309940024066 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) | |
| accuracy | 3.0832950935058485 | (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b) | |
| accuracy | 8.988414856129612 | (/.f64 a (fma.f64 d d (*.f64 c c))) | |
| accuracy | 10.342485395044038 | (fma.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)) | |
| accuracy | 18.059224207304847 | (/.f64 c (fma.f64 d d (*.f64 c c))) |
| 76.0ms | 256× | 0 | valid |
Compiled 224 to 26 computations (88.4% saved)
ival-add: 28.0ms (47.7% of total)ival-div: 15.0ms (25.5% of total)ival-mult: 11.0ms (18.7% of total)ival-sub: 2.0ms (3.4% of total)ival-neg: 1.0ms (1.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)) (patch (fma.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)) #<representation binary64>) () ()) |
#s(alt (neg.f64 d) (patch (neg.f64 d) #<representation binary64>) () ()) |
#s(alt (/.f64 a (fma.f64 d d (*.f64 c c))) (patch (/.f64 a (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ()) |
#s(alt (fma.f64 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 b (fma.f64 c c (*.f64 d d))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c) (patch (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c) #<representation binary64>) () ()) |
#s(alt (/.f64 b (fma.f64 c c (*.f64 d d))) (patch (/.f64 b (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ()) |
#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ()) |
#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ()) |
#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) (patch (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) #<representation binary64>) () ()) |
#s(alt (-.f64 b (/.f64 (*.f64 a d) c)) (patch (-.f64 b (/.f64 (*.f64 a d) c)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 a d) c) (patch (/.f64 (*.f64 a d) c) #<representation binary64>) () ()) |
#s(alt (/.f64 c (fma.f64 d d (*.f64 c c))) (patch (/.f64 c (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b) (patch (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt (fma.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)) (patch (fma.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt (fma.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)) (patch (fma.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)) #<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 d) (/.f64 a (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)) (patch (fma.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)) #<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 d) (/.f64 a (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)) (patch (fma.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)) #<representation binary64>) () ())) ()) |
#s(alt (/ a (pow d 2)) (taylor 0 c) (#s(alt (/.f64 a (fma.f64 d d (*.f64 c c))) (patch (/.f64 a (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2))) (taylor 0 c) (#s(alt (/.f64 a (fma.f64 d d (*.f64 c c))) (patch (/.f64 a (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2))) (taylor 0 c) (#s(alt (/.f64 a (fma.f64 d d (*.f64 c c))) (patch (/.f64 a (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) (pow d 2)) (taylor -inf d) (#s(alt (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c) (patch (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (/ (* b (pow c 3)) (pow d 2))) (* b c)) (pow d 2)) (taylor -inf d) (#s(alt (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c) (patch (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* b c) (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2))) (pow d 2)) (taylor -inf d) (#s(alt (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c) (patch (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* -1 (/ (* b (pow c 7)) (pow d 6))) (* b c)) (+ (* -1 (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2)))) (pow d 2)) (taylor -inf d) (#s(alt (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c) (patch (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c) #<representation binary64>) () ())) ()) |
#s(alt (/ b (pow d 2)) (taylor -inf d) (#s(alt (/.f64 b (fma.f64 c c (*.f64 d d))) (patch (/.f64 b (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) (pow d 2)) (taylor -inf d) (#s(alt (/.f64 b (fma.f64 c c (*.f64 d d))) (patch (/.f64 b (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) (pow d 2)) (taylor -inf d) (#s(alt (/.f64 b (fma.f64 c c (*.f64 d d))) (patch (/.f64 b (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) (pow d 2)) (taylor -inf d) (#s(alt (/.f64 b (fma.f64 c c (*.f64 d d))) (patch (/.f64 b (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (pow d 2) (taylor -inf d) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor -inf d) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) (taylor -inf d) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) (taylor -inf d) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) (taylor -inf d) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a d)) (taylor -inf d) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) (taylor -inf d) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) (taylor -inf d) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) (taylor -inf d) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor -inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor -inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor -inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor -inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) (pow c 2))) (taylor -inf d) (#s(alt (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) (patch (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) (taylor -inf d) (#s(alt (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) (patch (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) (taylor -inf d) (#s(alt (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) (patch (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) (taylor -inf d) (#s(alt (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) (patch (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) c)) (taylor -inf d) (#s(alt (-.f64 b (/.f64 (*.f64 a d) c)) (patch (-.f64 b (/.f64 (*.f64 a d) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) (taylor -inf d) (#s(alt (-.f64 b (/.f64 (*.f64 a d) c)) (patch (-.f64 b (/.f64 (*.f64 a d) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) (taylor -inf d) (#s(alt (-.f64 b (/.f64 (*.f64 a d) c)) (patch (-.f64 b (/.f64 (*.f64 a d) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) (taylor -inf d) (#s(alt (-.f64 b (/.f64 (*.f64 a d) c)) (patch (-.f64 b (/.f64 (*.f64 a d) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor -inf d) (#s(alt (/.f64 (*.f64 a d) c) (patch (/.f64 (*.f64 a d) c) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor -inf d) (#s(alt (/.f64 (*.f64 a d) c) (patch (/.f64 (*.f64 a d) c) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor -inf d) (#s(alt (/.f64 (*.f64 a d) c) (patch (/.f64 (*.f64 a d) c) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor -inf d) (#s(alt (/.f64 (*.f64 a d) c) (patch (/.f64 (*.f64 a d) c) #<representation binary64>) () ())) ()) |
#s(alt (/ c (pow d 2)) (taylor -inf d) (#s(alt (/.f64 c (fma.f64 d d (*.f64 c c))) (patch (/.f64 c (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ c (* -1 (/ (pow c 3) (pow d 2)))) (pow d 2)) (taylor -inf d) (#s(alt (/.f64 c (fma.f64 d d (*.f64 c c))) (patch (/.f64 c (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ c (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2))) (pow d 2)) (taylor -inf d) (#s(alt (/.f64 c (fma.f64 d d (*.f64 c c))) (patch (/.f64 c (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ c (* -1 (/ (pow c 7) (pow d 6)))) (+ (* -1 (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2)))) (pow d 2)) (taylor -inf d) (#s(alt (/.f64 c (fma.f64 d d (*.f64 c c))) (patch (/.f64 c (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) (pow d 2)) (taylor -inf d) (#s(alt (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b) (patch (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (/ (* b (pow c 3)) (pow d 2))) (* b c)) (pow d 2)) (taylor -inf d) (#s(alt (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b) (patch (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* b c) (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2))) (pow d 2)) (taylor -inf d) (#s(alt (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b) (patch (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* -1 (/ (* b (pow c 7)) (pow d 6))) (* b c)) (+ (* -1 (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2)))) (pow d 2)) (taylor -inf d) (#s(alt (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b) (patch (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b) #<representation binary64>) () ())) ()) |
#s(alt (pow d 2) (taylor -inf d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | b | @ | 0 | ((+ (* (neg d) (/ a (+ (* d d) (* c c)))) (* (/ c (+ (* d d) (* c c))) b)) (neg d) (/ a (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ b c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (/ b (+ (* c c) (* d d))) c) (/ b (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (* a d) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- b (/ (* a d) c)) c) (- b (/ (* a d) c)) (/ (* a d) c) (/ c (+ (* d d) (* c c))) (* (/ c (+ (* d d) (* c c))) b) (+ (* c c) (* d d))) |
| 5.0ms | c | @ | inf | ((+ (* (neg d) (/ a (+ (* d d) (* c c)))) (* (/ c (+ (* d d) (* c c))) b)) (neg d) (/ a (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ b c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (/ b (+ (* c c) (* d d))) c) (/ b (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (* a d) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- b (/ (* a d) c)) c) (- b (/ (* a d) c)) (/ (* a d) c) (/ c (+ (* d d) (* c c))) (* (/ c (+ (* d d) (* c c))) b) (+ (* c c) (* d d))) |
| 3.0ms | b | @ | -inf | ((+ (* (neg d) (/ a (+ (* d d) (* c c)))) (* (/ c (+ (* d d) (* c c))) b)) (neg d) (/ a (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ b c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (/ b (+ (* c c) (* d d))) c) (/ b (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (* a d) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- b (/ (* a d) c)) c) (- b (/ (* a d) c)) (/ (* a d) c) (/ c (+ (* d d) (* c c))) (* (/ c (+ (* d d) (* c c))) b) (+ (* c c) (* d d))) |
| 3.0ms | d | @ | inf | ((+ (* (neg d) (/ a (+ (* d d) (* c c)))) (* (/ c (+ (* d d) (* c c))) b)) (neg d) (/ a (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ b c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (/ b (+ (* c c) (* d d))) c) (/ b (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (* a d) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- b (/ (* a d) c)) c) (- b (/ (* a d) c)) (/ (* a d) c) (/ c (+ (* d d) (* c c))) (* (/ c (+ (* d d) (* c c))) b) (+ (* c c) (* d d))) |
| 3.0ms | d | @ | 0 | ((+ (* (neg d) (/ a (+ (* d d) (* c c)))) (* (/ c (+ (* d d) (* c c))) b)) (neg d) (/ a (+ (* d d) (* c c))) (+ (* d d) (* c c)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ b c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (/ b (+ (* c c) (* d d))) c) (/ b (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (* a d) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- b (/ (* a d) c)) c) (- b (/ (* a d) c)) (/ (* a d) c) (/ c (+ (* d d) (* c c))) (* (/ c (+ (* d d) (* c c))) b) (+ (* c c) (* d d))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 536 | 9768 |
| 1 | 1639 | 9414 |
| 2 | 4741 | 9168 |
| 0 | 8547 | 8734 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(+ (* -1 (/ a d)) (* c (+ (* c (+ (* -1 (/ (* b c) (pow d 4))) (/ a (pow d 3)))) (/ b (pow d 2))))) |
(/ a (pow d 2)) |
(+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2))) |
(+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2))) |
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* a (pow c 2)) (pow d 8))) (* -1 (/ a (pow d 6))))) (/ a (pow d 4)))) (/ a (pow d 2))) |
(pow d 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(/ (* b c) (pow d 2)) |
(* c (+ (* -1 (/ (* b (pow c 2)) (pow d 4))) (/ b (pow d 2)))) |
(* c (+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 6)) (/ b (pow d 4)))) (/ b (pow d 2)))) |
(* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 8))) (* -1 (/ b (pow d 6))))) (/ b (pow d 4)))) (/ b (pow d 2)))) |
(/ b (pow d 2)) |
(+ (* -1 (/ (* b (pow c 2)) (pow d 4))) (/ b (pow d 2))) |
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 6)) (/ b (pow d 4)))) (/ b (pow d 2))) |
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 8))) (* -1 (/ b (pow d 6))))) (/ b (pow d 4)))) (/ b (pow d 2))) |
(pow d 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(* -1 (* a d)) |
(- (* b c) (* a d)) |
(- (* b c) (* a d)) |
(- (* b c) (* a d)) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(* -1 (/ (* a d) (pow c 2))) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(* -1 (/ (* a d) c)) |
(/ (- (* b c) (* a d)) c) |
(/ (- (* b c) (* a d)) c) |
(/ (- (* b c) (* a d)) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ c (pow d 2)) |
(* c (+ (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2)))) |
(* c (+ (* (pow c 2) (- (/ (pow c 2) (pow d 6)) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))) |
(* c (+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 8))) (/ 1 (pow d 6)))) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))) |
(/ (* b c) (pow d 2)) |
(* c (+ (* -1 (/ (* b (pow c 2)) (pow d 4))) (/ b (pow d 2)))) |
(* c (+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 6)) (/ b (pow d 4)))) (/ b (pow d 2)))) |
(* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 8))) (* -1 (/ b (pow d 6))))) (/ b (pow d 4)))) (/ b (pow d 2)))) |
(pow d 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(/ a (pow c 2)) |
(/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) (pow c 2)) |
(/ (- (+ a (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2))) (pow c 2)) |
(/ (- (+ a (* -1 (/ (* a (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) (pow c 2)) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(/ b c) |
(/ (+ b (* -1 (/ (* b (pow d 2)) (pow c 2)))) c) |
(/ (- (+ b (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2))) c) |
(/ (- (+ b (* -1 (/ (* b (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2)))) c) |
(/ b (pow c 2)) |
(/ (+ b (* -1 (/ (* b (pow d 2)) (pow c 2)))) (pow c 2)) |
(/ (- (+ b (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2))) (pow c 2)) |
(/ (- (+ b (* -1 (/ (* b (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2)))) (pow c 2)) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(* b c) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
b |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ 1 c) |
(/ (+ 1 (* -1 (/ (pow d 2) (pow c 2)))) c) |
(/ (- (+ 1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2))) c) |
(/ (- (+ 1 (* -1 (/ (pow d 6) (pow c 6)))) (+ (* -1 (/ (pow d 4) (pow c 4))) (/ (pow d 2) (pow c 2)))) c) |
(/ b c) |
(/ (+ b (* -1 (/ (* b (pow d 2)) (pow c 2)))) c) |
(/ (- (+ b (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2))) c) |
(/ (- (+ b (* -1 (/ (* b (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2)))) c) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (+ (* -1 (/ (* a (pow d 3)) c)) (* b (pow d 2))) c))) c))) c)) |
(/ a (pow c 2)) |
(/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) (pow c 2)) |
(/ (- (+ a (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2))) (pow c 2)) |
(/ (- (+ a (* -1 (/ (* a (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) (pow c 2)) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* b (pow d 2)) (pow c 2))) c)) |
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2)))) c)) |
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (+ (/ (* b (pow d 2)) (pow c 2)) (/ (* b (pow d 6)) (pow c 6))))) c)) |
(/ b (pow c 2)) |
(/ (+ b (* -1 (/ (* b (pow d 2)) (pow c 2)))) (pow c 2)) |
(/ (- (+ b (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2))) (pow c 2)) |
(/ (- (+ b (* -1 (/ (* b (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2)))) (pow c 2)) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) |
(* b c) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
b |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ 1 c) |
(* -1 (/ (- (/ (pow d 2) (pow c 2)) 1) c)) |
(* -1 (/ (- (* -1 (/ (pow d 4) (pow c 4))) (+ 1 (* -1 (/ (pow d 2) (pow c 2))))) c)) |
(* -1 (/ (- (/ (pow d 6) (pow c 6)) (+ 1 (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (pow d 4) (pow c 4))))) c)) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* b (pow d 2)) (pow c 2))) c)) |
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2)))) c)) |
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (+ (/ (* b (pow d 2)) (pow c 2)) (/ (* b (pow d 6)) (pow c 6))))) c)) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ b (+ (pow c 2) (pow d 2))) |
(/ b (+ (pow c 2) (pow d 2))) |
(/ b (+ (pow c 2) (pow d 2))) |
(/ b (+ (pow c 2) (pow d 2))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a d)) |
(- (* b c) (* a d)) |
(- (* b c) (* a d)) |
(- (* b c) (* a d)) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (pow c 2))) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(* -1 (/ (* a d) c)) |
(- b (/ (* a d) c)) |
(- b (/ (* a d) c)) |
(- b (/ (* a d) c)) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ b (+ (pow c 2) (pow d 2))) |
(/ b (+ (pow c 2) (pow d 2))) |
(/ b (+ (pow c 2) (pow d 2))) |
(/ b (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b c) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(/ b c) |
(* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c))) |
(* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c))) |
(* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c))) |
b |
(* b (+ 1 (* -1 (/ (* a d) (* b c))))) |
(* b (+ 1 (* -1 (/ (* a d) (* b c))))) |
(* b (+ 1 (* -1 (/ (* a d) (* b c))))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ b (+ (pow c 2) (pow d 2))) |
(/ b (+ (pow c 2) (pow d 2))) |
(/ b (+ (pow c 2) (pow d 2))) |
(/ b (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* b c) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(/ b c) |
(* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c)))) |
(* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c)))) |
(* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c)))) |
b |
(* -1 (* b (- (/ (* a d) (* b c)) 1))) |
(* -1 (* b (- (/ (* a d) (* b c)) 1))) |
(* -1 (* b (- (/ (* a d) (* b c)) 1))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(/ a (+ (pow c 2) (pow d 2))) |
(/ a (+ (pow c 2) (pow d 2))) |
(/ a (+ (pow c 2) (pow d 2))) |
(/ a (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* b c) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
b |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(/ a (+ (pow c 2) (pow d 2))) |
(/ a (+ (pow c 2) (pow d 2))) |
(/ a (+ (pow c 2) (pow d 2))) |
(/ a (+ (pow c 2) (pow d 2))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a d)) |
(* a (- (/ (* b c) a) d)) |
(* a (- (/ (* b c) a) d)) |
(* a (- (/ (* b c) a) d)) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ (* a d) (pow c 2))) |
(* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c)))) |
(* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c)))) |
(* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c)))) |
(* -1 (/ (* a d) c)) |
(* a (- (/ b a) (/ d c))) |
(* a (- (/ b a) (/ d c))) |
(* a (- (/ b a) (/ d c))) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(/ a (+ (pow c 2) (pow d 2))) |
(/ a (+ (pow c 2) (pow d 2))) |
(/ a (+ (pow c 2) (pow d 2))) |
(/ a (+ (pow c 2) (pow d 2))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a d)) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2))))) |
(* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2))))) |
(* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2))))) |
(* -1 (/ (* a d) c)) |
(* -1 (* a (- (* -1 (/ b a)) (* -1 (/ d c))))) |
(* -1 (* a (- (* -1 (/ b a)) (* -1 (/ d c))))) |
(* -1 (* a (- (* -1 (/ b a)) (* -1 (/ d c))))) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(* -1 d) |
(* -1 d) |
(* -1 d) |
(* -1 d) |
(/ a (pow c 2)) |
(+ (* -1 (/ (* a (pow d 2)) (pow c 4))) (/ a (pow c 2))) |
(+ (* (pow d 2) (- (/ (* a (pow d 2)) (pow c 6)) (/ a (pow c 4)))) (/ a (pow c 2))) |
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* a (pow d 2)) (pow c 8))) (* -1 (/ a (pow c 6))))) (/ a (pow c 4)))) (/ a (pow c 2))) |
(pow c 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(/ b c) |
(+ (* -1 (/ (* b (pow d 2)) (pow c 3))) (/ b c)) |
(+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 5)) (/ b (pow c 3)))) (/ b c)) |
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 7))) (* -1 (/ b (pow c 5))))) (/ b (pow c 3)))) (/ b c)) |
(/ b (pow c 2)) |
(+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2))) |
(+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2))) |
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 8))) (* -1 (/ b (pow c 6))))) (/ b (pow c 4)))) (/ b (pow c 2))) |
(pow c 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(* b c) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
b |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ 1 c) |
(+ (* -1 (/ (pow d 2) (pow c 3))) (/ 1 c)) |
(+ (* (pow d 2) (- (/ (pow d 2) (pow c 5)) (/ 1 (pow c 3)))) (/ 1 c)) |
(+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 7))) (/ 1 (pow c 5)))) (/ 1 (pow c 3)))) (/ 1 c)) |
(/ b c) |
(+ (* -1 (/ (* b (pow d 2)) (pow c 3))) (/ b c)) |
(+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 5)) (/ b (pow c 3)))) (/ b c)) |
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 7))) (* -1 (/ b (pow c 5))))) (/ b (pow c 3)))) (/ b c)) |
(pow c 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d)))) d) |
(* -1 d) |
(* -1 d) |
(* -1 d) |
(* -1 d) |
(/ a (pow d 2)) |
(/ (+ a (* -1 (/ (* a (pow c 2)) (pow d 2)))) (pow d 2)) |
(/ (- (+ a (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2))) (pow d 2)) |
(/ (- (+ a (* -1 (/ (* a (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2)))) (pow d 2)) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(/ (* b c) (pow d 2)) |
(/ (+ (* -1 (/ (* b (pow c 3)) (pow d 2))) (* b c)) (pow d 2)) |
(/ (- (+ (* b c) (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2))) (pow d 2)) |
(/ (- (+ (* -1 (/ (* b (pow c 7)) (pow d 6))) (* b c)) (+ (* -1 (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2)))) (pow d 2)) |
(/ b (pow d 2)) |
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) (pow d 2)) |
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) (pow d 2)) |
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) (pow d 2)) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(* -1 (* a d)) |
(* d (- (/ (* b c) d) a)) |
(* d (- (/ (* b c) d) a)) |
(* d (- (/ (* b c) d) a)) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(* -1 (/ (* a d) (pow c 2))) |
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(* -1 (/ (* a d) c)) |
(* d (- (/ b d) (/ a c))) |
(* d (- (/ b d) (/ a c))) |
(* d (- (/ b d) (/ a c))) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ c (pow d 2)) |
(/ (+ c (* -1 (/ (pow c 3) (pow d 2)))) (pow d 2)) |
(/ (- (+ c (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2))) (pow d 2)) |
(/ (- (+ c (* -1 (/ (pow c 7) (pow d 6)))) (+ (* -1 (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2)))) (pow d 2)) |
(/ (* b c) (pow d 2)) |
(/ (+ (* -1 (/ (* b (pow c 3)) (pow d 2))) (* b c)) (pow d 2)) |
(/ (- (+ (* b c) (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2))) (pow d 2)) |
(/ (- (+ (* -1 (/ (* b (pow c 7)) (pow d 6))) (* b c)) (+ (* -1 (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2)))) (pow d 2)) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(* -1 d) |
(* -1 d) |
(* -1 d) |
(* -1 d) |
(/ a (pow d 2)) |
(/ (+ a (* -1 (/ (* a (pow c 2)) (pow d 2)))) (pow d 2)) |
(/ (- (+ a (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2))) (pow d 2)) |
(/ (- (+ a (* -1 (/ (* a (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2)))) (pow d 2)) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(/ (* b c) (pow d 2)) |
(/ (+ (* -1 (/ (* b (pow c 3)) (pow d 2))) (* b c)) (pow d 2)) |
(/ (- (+ (* b c) (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2))) (pow d 2)) |
(/ (- (+ (* -1 (/ (* b (pow c 7)) (pow d 6))) (* b c)) (+ (* -1 (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2)))) (pow d 2)) |
(/ b (pow d 2)) |
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) (pow d 2)) |
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) (pow d 2)) |
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) (pow d 2)) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(* -1 (* a d)) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(* -1 (/ (* a d) c)) |
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) |
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) |
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ c (pow d 2)) |
(/ (+ c (* -1 (/ (pow c 3) (pow d 2)))) (pow d 2)) |
(/ (- (+ c (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2))) (pow d 2)) |
(/ (- (+ c (* -1 (/ (pow c 7) (pow d 6)))) (+ (* -1 (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2)))) (pow d 2)) |
(/ (* b c) (pow d 2)) |
(/ (+ (* -1 (/ (* b (pow c 3)) (pow d 2))) (* b c)) (pow d 2)) |
(/ (- (+ (* b c) (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2))) (pow d 2)) |
(/ (- (+ (* -1 (/ (* b (pow c 7)) (pow d 6))) (* b c)) (+ (* -1 (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2)))) (pow d 2)) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
| Outputs |
|---|
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 3 binary64))) a (/.f64 b (*.f64 d d))) c (/.f64 (neg.f64 a) d)) |
(+ (* -1 (/ a d)) (* c (+ (* c (+ (* -1 (/ (* b c) (pow d 4))) (/ a (pow d 3)))) (/ b (pow d 2))))) |
(fma.f64 (*.f64 c c) (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) (neg.f64 b) (/.f64 a (pow.f64 d #s(literal 3 binary64)))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) |
(/ a (pow d 2)) |
(/.f64 (/.f64 a d) d) |
(+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2))) |
(/.f64 (fma.f64 (/.f64 (*.f64 c c) d) (/.f64 (neg.f64 a) d) a) (*.f64 d d)) |
(+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2))) |
(fma.f64 (-.f64 (*.f64 (*.f64 c c) (/.f64 a (pow.f64 d #s(literal 6 binary64)))) (/.f64 a (pow.f64 d #s(literal 4 binary64)))) (*.f64 c c) (/.f64 (/.f64 a d) d)) |
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(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 c b (/.f64 (*.f64 (*.f64 c c) a) d)) d) a) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 c b (/.f64 (fma.f64 (*.f64 c c) a (/.f64 (*.f64 (neg.f64 b) (pow.f64 c #s(literal 3 binary64))) d)) d)) d) a) d) |
(* -1 d) |
(neg.f64 d) |
(* -1 d) |
(neg.f64 d) |
(* -1 d) |
(neg.f64 d) |
(* -1 d) |
(neg.f64 d) |
(/ a (pow d 2)) |
(/.f64 (/.f64 a d) d) |
(/ (+ a (* -1 (/ (* a (pow c 2)) (pow d 2)))) (pow d 2)) |
(/.f64 (fma.f64 (/.f64 (*.f64 c c) d) (/.f64 (neg.f64 a) d) a) (*.f64 d d)) |
(/ (- (+ a (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2))) (pow d 2)) |
(/.f64 (fma.f64 a (-.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (*.f64 c (/.f64 c (*.f64 d d)))) a) (*.f64 d d)) |
(/ (- (+ a (* -1 (/ (* a (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2)))) (pow d 2)) |
(/.f64 (fma.f64 (neg.f64 (pow.f64 c #s(literal 6 binary64))) (/.f64 a (pow.f64 d #s(literal 6 binary64))) (fma.f64 a (-.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (*.f64 c (/.f64 c (*.f64 d d)))) a)) (*.f64 d d)) |
(pow d 2) |
(*.f64 d d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) d) d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) d) d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) d) d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 c b (/.f64 (*.f64 (*.f64 c c) a) d)) d) a) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 c b (/.f64 (fma.f64 (*.f64 c c) a (/.f64 (*.f64 (neg.f64 b) (pow.f64 c #s(literal 3 binary64))) d)) d)) d) a) d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 c b (/.f64 (*.f64 (*.f64 c c) a) d)) d) a) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 c b (/.f64 (fma.f64 (*.f64 c c) a (/.f64 (*.f64 (neg.f64 b) (pow.f64 c #s(literal 3 binary64))) d)) d)) d) a) d) |
(/ (* b c) (pow d 2)) |
(*.f64 (/.f64 c (*.f64 d d)) b) |
(/ (+ (* -1 (/ (* b (pow c 3)) (pow d 2))) (* b c)) (pow d 2)) |
(/.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 c d) #s(literal 3 binary64))) b (/.f64 (*.f64 c b) d)) d) |
(/ (- (+ (* b c) (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2))) (pow d 2)) |
(/.f64 (-.f64 (/.f64 (*.f64 b (+.f64 (/.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 d #s(literal 4 binary64))) c)) d) (*.f64 (pow.f64 (/.f64 c d) #s(literal 3 binary64)) b)) 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 (-.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 (pow.f64 c #s(literal 7 binary64))) (pow.f64 d #s(literal 6 binary64))) b (*.f64 b (+.f64 (/.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 d #s(literal 4 binary64))) c))) d) (*.f64 (pow.f64 (/.f64 c d) #s(literal 3 binary64)) b)) d) |
(/ b (pow d 2)) |
(/.f64 b (*.f64 d d)) |
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) (pow d 2)) |
(/.f64 (/.f64 (fma.f64 (*.f64 c (/.f64 c (*.f64 d d))) (neg.f64 b) b) d) d) |
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) (pow d 2)) |
(/.f64 (fma.f64 b (-.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (*.f64 c (/.f64 c (*.f64 d d)))) b) (*.f64 d d)) |
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) (pow d 2)) |
(/.f64 (fma.f64 (neg.f64 (pow.f64 c #s(literal 6 binary64))) (/.f64 b (pow.f64 d #s(literal 6 binary64))) (fma.f64 b (-.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (*.f64 c (/.f64 c (*.f64 d d)))) b)) (*.f64 d d)) |
(pow d 2) |
(*.f64 d d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) d) d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) d) d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) d) d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 c b (/.f64 (*.f64 (*.f64 c c) a) d)) d) a) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 c b (/.f64 (fma.f64 (*.f64 c c) a (/.f64 (*.f64 (neg.f64 b) (pow.f64 c #s(literal 3 binary64))) d)) d)) d) a) d) |
(* -1 (* a d)) |
(*.f64 (neg.f64 a) d) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(*.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(*.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(*.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 c b (/.f64 (*.f64 (*.f64 c c) a) d)) d) a) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 c b (/.f64 (fma.f64 (*.f64 c c) a (/.f64 (*.f64 (neg.f64 b) (pow.f64 c #s(literal 3 binary64))) d)) d)) d) a) d) |
(* -1 (/ (* a d) (pow c 2))) |
(*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(*.f64 (-.f64 (/.f64 (/.f64 b c) d) (/.f64 a (*.f64 c c))) d) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(*.f64 (-.f64 (/.f64 (/.f64 b c) d) (/.f64 a (*.f64 c c))) d) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(*.f64 (-.f64 (/.f64 (/.f64 b c) d) (/.f64 a (*.f64 c c))) d) |
(* -1 (/ (* a d) c)) |
(*.f64 (neg.f64 a) (/.f64 d c)) |
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) |
(*.f64 (-.f64 (/.f64 b d) (/.f64 a c)) d) |
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) |
(*.f64 (-.f64 (/.f64 b d) (/.f64 a c)) d) |
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) |
(*.f64 (-.f64 (/.f64 b d) (/.f64 a c)) d) |
(/ (* a d) c) |
(/.f64 (*.f64 d a) c) |
(/ (* a d) c) |
(/.f64 (*.f64 d a) c) |
(/ (* a d) c) |
(/.f64 (*.f64 d a) c) |
(/ (* a d) c) |
(/.f64 (*.f64 d a) c) |
(/ c (pow d 2)) |
(/.f64 c (*.f64 d d)) |
(/ (+ c (* -1 (/ (pow c 3) (pow d 2)))) (pow d 2)) |
(/.f64 (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) d) |
(/ (- (+ c (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2))) (pow d 2)) |
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 d #s(literal 4 binary64))) c) d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) d) |
(/ (- (+ c (* -1 (/ (pow c 7) (pow d 6)))) (+ (* -1 (/ (pow c 5) (pow d 4))) (/ (pow c 3) (pow d 2)))) (pow d 2)) |
(/.f64 (-.f64 (/.f64 (+.f64 (-.f64 c (/.f64 (pow.f64 c #s(literal 7 binary64)) (pow.f64 d #s(literal 6 binary64)))) (/.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 d #s(literal 4 binary64)))) d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) d) |
(/ (* b c) (pow d 2)) |
(*.f64 (/.f64 c (*.f64 d d)) b) |
(/ (+ (* -1 (/ (* b (pow c 3)) (pow d 2))) (* b c)) (pow d 2)) |
(/.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 c d) #s(literal 3 binary64))) b (/.f64 (*.f64 c b) d)) d) |
(/ (- (+ (* b c) (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2))) (pow d 2)) |
(/.f64 (-.f64 (/.f64 (*.f64 b (+.f64 (/.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 d #s(literal 4 binary64))) c)) d) (*.f64 (pow.f64 (/.f64 c d) #s(literal 3 binary64)) b)) 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 (-.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 (pow.f64 c #s(literal 7 binary64))) (pow.f64 d #s(literal 6 binary64))) b (*.f64 b (+.f64 (/.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 d #s(literal 4 binary64))) c))) d) (*.f64 (pow.f64 (/.f64 c d) #s(literal 3 binary64)) b)) d) |
(pow d 2) |
(*.f64 d d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) d) d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) d) d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (*.f64 (fma.f64 c (/.f64 c (*.f64 d d)) #s(literal 1 binary64)) d) d) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 211 |
| 0 | 53 | 211 |
| 1 | 203 | 204 |
| 2 | 1557 | 204 |
| 0 | 8323 | 204 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)) |
(neg.f64 d) |
(/.f64 a (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 b (fma.f64 c c (*.f64 d d))) c)) |
(*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c) |
(/.f64 b (fma.f64 c c (*.f64 d d))) |
(fma.f64 c c (*.f64 d d)) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(-.f64 (*.f64 b c) (*.f64 a d)) |
(*.f64 b c) |
(*.f64 a d) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
(/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) |
(-.f64 b (/.f64 (*.f64 a d) c)) |
(/.f64 (*.f64 a d) c) |
(/.f64 c (fma.f64 d d (*.f64 c c))) |
(*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b) |
#s(approx (+ (* c c) (* d d)) (*.f64 c c)) |
| Outputs |
|---|
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Compiled 45 548 to 3 741 computations (91.8% saved)
24 alts after pruning (20 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 833 | 16 | 1 849 |
| Fresh | 3 | 4 | 7 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 837 | 24 | 1 861 |
| Status | Accuracy | Program |
|---|---|---|
| 35.0% | (fma.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 c #s(approx (+ (* d d) (* c c)) (*.f64 d d))) b)) | |
| 49.1% | (fma.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c))) (*.f64 #s(approx (/ c (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) c)) b)) | |
| 37.1% | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| ✓ | 34.0% | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
| 18.8% | (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| ▶ | 27.2% | (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
| 55.4% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) d)) | |
| 53.5% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (fma.f64 (*.f64 c (/.f64 c (*.f64 d d))) a (neg.f64 a))) d)) | |
| ▶ | 57.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) |
| ✓ | 47.6% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
| 39.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 b c) (fma.f64 d d (*.f64 c c)))) | |
| ▶ | 49.5% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
| 21.2% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) | |
| ✓ | 38.8% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
| ▶ | 47.4% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c))))) |
| 38.6% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) | |
| ✓ | 40.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) |
| 22.4% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c)) | |
| 28.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) | |
| 45.1% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) | |
| 18.1% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ b (+ (* c c) (* d d))) (/.f64 (/.f64 (fma.f64 (*.f64 c (/.f64 c (*.f64 d d))) (neg.f64 b) b) d) d)) c)) | |
| ▶ | 21.4% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) |
| 39.7% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (-.f64 (/.f64 (/.f64 b c) d) (/.f64 a (*.f64 c c))) d))) | |
| 20.3% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (* (/ b (+ (* c c) (* d d))) c) (*.f64 (/.f64 c (*.f64 d d)) b))) |
Compiled 531 to 454 computations (14.5% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 b (/.f64 (*.f64 a d) c)) | |
| cost-diff | 0 | (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c))) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c))))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c)))) | |
| cost-diff | 0 | (/.f64 (neg.f64 a) c) | |
| cost-diff | 0 | (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)) | |
| cost-diff | 0 | #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c))) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) | |
| cost-diff | 0 | #s(approx (+ (* c c) (* d d)) (*.f64 c c)) | |
| cost-diff | 0 | (*.f64 c b) | |
| cost-diff | 0 | #s(approx (- (* b c) (* a d)) (*.f64 c b)) | |
| cost-diff | 0 | (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| cost-diff | 0 | (neg.f64 a) | |
| cost-diff | 0 | (/.f64 (neg.f64 a) d) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) | |
| cost-diff | 0 | (/.f64 (*.f64 c b) d) | |
| cost-diff | 0 | (-.f64 (/.f64 (*.f64 c b) d) a) | |
| cost-diff | 0 | (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 273 |
| 0 | 54 | 273 |
| 1 | 93 | 273 |
| 2 | 169 | 269 |
| 3 | 350 | 269 |
| 4 | 814 | 269 |
| 5 | 1491 | 269 |
| 6 | 2302 | 269 |
| 7 | 3146 | 269 |
| 8 | 3808 | 269 |
| 9 | 4102 | 269 |
| 10 | 4162 | 269 |
| 11 | 4167 | 269 |
| 12 | 4171 | 269 |
| 13 | 4171 | 269 |
| 14 | 4339 | 269 |
| 15 | 4411 | 269 |
| 16 | 4411 | 269 |
| 17 | 4411 | 269 |
| 0 | 4411 | 263 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) |
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) |
(-.f64 (/.f64 (*.f64 c b) d) a) |
(/.f64 (*.f64 c b) d) |
(*.f64 c b) |
c |
b |
d |
a |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
(/.f64 (neg.f64 a) d) |
(neg.f64 a) |
a |
d |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (- (* b c) (* a d)) (*.f64 c b)) |
(*.f64 c b) |
c |
b |
#s(approx (+ (* c c) (* d d)) (*.f64 c c)) |
(*.f64 c c) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) |
#s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c))) |
(*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)) |
(/.f64 (neg.f64 a) c) |
(neg.f64 a) |
a |
c |
(/.f64 d c) |
d |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c))))) |
(/.f64 #s(literal 1 binary64) (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c)))) |
#s(literal 1 binary64) |
(/.f64 c (-.f64 b (/.f64 (*.f64 a d) c))) |
c |
(-.f64 b (/.f64 (*.f64 a d) c)) |
b |
(/.f64 (*.f64 a d) c) |
(*.f64 a d) |
a |
d |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) |
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) |
(-.f64 (/.f64 (*.f64 c b) d) a) |
(/.f64 (*.f64 c b) d) |
(*.f64 c b) |
c |
b |
d |
a |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
(/.f64 (neg.f64 a) d) |
(neg.f64 a) |
a |
d |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (- (* b c) (* a d)) (*.f64 c b)) |
(*.f64 c b) |
c |
b |
#s(approx (+ (* c c) (* d d)) (*.f64 c c)) |
(*.f64 c c) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (/.f64 a c) c) (neg.f64 d)))) |
#s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c))) |
#s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (/.f64 a c) c) (neg.f64 d))) |
(*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)) |
(*.f64 (/.f64 (/.f64 a c) c) (neg.f64 d)) |
(/.f64 (neg.f64 a) c) |
(neg.f64 a) |
a |
c |
(/.f64 d c) |
d |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 d c) (neg.f64 a) b) c)) |
(/.f64 #s(literal 1 binary64) (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c)))) |
(/.f64 (fma.f64 (/.f64 d c) (neg.f64 a) b) c) |
#s(literal 1 binary64) |
(/.f64 c (-.f64 b (/.f64 (*.f64 a d) c))) |
(/.f64 c (fma.f64 (/.f64 d c) (neg.f64 a) b)) |
c |
(-.f64 b (/.f64 (*.f64 a d) c)) |
(fma.f64 (/.f64 d c) (neg.f64 a) b) |
b |
(/.f64 (*.f64 a d) c) |
(*.f64 (/.f64 d c) a) |
(*.f64 a d) |
(*.f64 d a) |
a |
d |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.2613872616009698 | (/.f64 #s(literal 1 binary64) (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c)))) | |
| accuracy | 1.2574888847224037 | (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c))) | |
| accuracy | 5.668397777476505 | (/.f64 (*.f64 a d) c) | |
| accuracy | 32.407111596009756 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c))))) | |
| accuracy | 0 | (neg.f64 a) | |
| accuracy | 3.1174010372195244 | (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)) | |
| accuracy | 23.262376246915778 | #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c))) | |
| accuracy | 32.407111596009756 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) | |
| accuracy | 0 | (*.f64 c b) | |
| accuracy | 24.213870955406794 | (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| accuracy | 28.6908391511934 | #s(approx (+ (* c c) (* d d)) (*.f64 c c)) | |
| accuracy | 33.24346058446788 | #s(approx (- (* b c) (* a d)) (*.f64 c b)) | |
| accuracy | 0 | (/.f64 (neg.f64 a) d) | |
| accuracy | 0 | (neg.f64 a) | |
| accuracy | 32.29824115812071 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) | |
| accuracy | 0.0078125 | (-.f64 (/.f64 (*.f64 c b) d) a) | |
| accuracy | 0.49628557389134786 | (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) | |
| accuracy | 4.471431622054721 | (/.f64 (*.f64 c b) d) | |
| accuracy | 25.777095324387663 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) |
| 56.0ms | 256× | 0 | valid |
Compiled 204 to 28 computations (86.3% saved)
ival-div: 21.0ms (56.4% of total)ival-mult: 10.0ms (26.8% of total)ival-sub: 4.0ms (10.7% of total)ival-add: 1.0ms (2.7% of total)ival-neg: 1.0ms (2.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) (patch (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 (*.f64 c b) d) a) (patch (-.f64 (/.f64 (*.f64 c b) d) a) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 c b) d) (patch (/.f64 (*.f64 c b) d) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) #<representation binary64>) () ()) |
#s(alt (/.f64 (neg.f64 a) d) (patch (/.f64 (neg.f64 a) d) #<representation binary64>) () ()) |
#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* b c) (* a d)) (*.f64 c b)) (patch #s(approx (- (* b c) (* a d)) (*.f64 c b)) #<representation binary64>) () ()) |
#s(alt (*.f64 c b) (patch (*.f64 c b) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c))) (patch #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)) (patch (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)) #<representation binary64>) () ()) |
#s(alt (/.f64 (neg.f64 a) c) (patch (/.f64 (neg.f64 a) c) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c))))) #<representation binary64>) () ()) |
#s(alt (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c))) (patch (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c))) #<representation binary64>) () ()) |
#s(alt (-.f64 b (/.f64 (*.f64 a d) c)) (patch (-.f64 b (/.f64 (*.f64 a d) c)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 a d) c) (patch (/.f64 (*.f64 a d) c) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) (patch (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) (patch (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) (patch (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) (patch (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 a) (taylor 0 c) (#s(alt (-.f64 (/.f64 (*.f64 c b) d) a) (patch (-.f64 (/.f64 (*.f64 c b) d) a) #<representation binary64>) () ())) ()) |
#s(alt (- (/ (* b c) d) a) (taylor 0 c) (#s(alt (-.f64 (/.f64 (*.f64 c b) d) a) (patch (-.f64 (/.f64 (*.f64 c b) d) a) #<representation binary64>) () ())) ()) |
#s(alt (- (/ (* b c) d) a) (taylor 0 c) (#s(alt (-.f64 (/.f64 (*.f64 c b) d) a) (patch (-.f64 (/.f64 (*.f64 c b) d) a) #<representation binary64>) () ())) ()) |
#s(alt (- (/ (* b c) d) a) (taylor 0 c) (#s(alt (-.f64 (/.f64 (*.f64 c b) d) a) (patch (-.f64 (/.f64 (*.f64 c b) d) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) d) (taylor 0 c) (#s(alt (/.f64 (*.f64 c b) d) (patch (/.f64 (*.f64 c b) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) d) (taylor 0 c) (#s(alt (/.f64 (*.f64 c b) d) (patch (/.f64 (*.f64 c b) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) d) (taylor 0 c) (#s(alt (/.f64 (*.f64 c b) d) (patch (/.f64 (*.f64 c b) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) d) (taylor 0 c) (#s(alt (/.f64 (*.f64 c b) d) (patch (/.f64 (*.f64 c b) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) (taylor 0 c) (#s(alt (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) (taylor 0 c) (#s(alt (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a d)) (taylor 0 c) (#s(alt #s(approx (- (* b c) (* a d)) (*.f64 c b)) (patch #s(approx (- (* b c) (* a d)) (*.f64 c b)) #<representation binary64>) () ())) ()) |
#s(alt (- (* b c) (* a d)) (taylor 0 c) (#s(alt #s(approx (- (* b c) (* a d)) (*.f64 c b)) (patch #s(approx (- (* b c) (* a d)) (*.f64 c b)) #<representation binary64>) () ())) ()) |
#s(alt (- (* b c) (* a d)) (taylor 0 c) (#s(alt #s(approx (- (* b c) (* a d)) (*.f64 c b)) (patch #s(approx (- (* b c) (* a d)) (*.f64 c b)) #<representation binary64>) () ())) ()) |
#s(alt (- (* b c) (* a d)) (taylor 0 c) (#s(alt #s(approx (- (* b c) (* a d)) (*.f64 c b)) (patch #s(approx (- (* b c) (* a d)) (*.f64 c b)) #<representation binary64>) () ())) ()) |
#s(alt (* b c) (taylor 0 c) (#s(alt (*.f64 c b) (patch (*.f64 c b) #<representation binary64>) () ())) ()) |
#s(alt (* b c) (taylor 0 c) (#s(alt (*.f64 c b) (patch (*.f64 c b) #<representation binary64>) () ())) ()) |
#s(alt (* b c) (taylor 0 c) (#s(alt (*.f64 c b) (patch (*.f64 c b) #<representation binary64>) () ())) ()) |
#s(alt (* b c) (taylor 0 c) (#s(alt (*.f64 c b) (patch (*.f64 c b) #<representation binary64>) () ())) ()) |
#s(alt (pow d 2) (taylor 0 c) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) (taylor -inf d) (#s(alt #s(approx (- (* b c) (* a d)) (*.f64 c b)) (patch #s(approx (- (* b c) (* a d)) (*.f64 c b)) #<representation binary64>) () ())) ()) |
#s(alt (pow d 2) (taylor -inf d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -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))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -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))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) (pow c 2))) (taylor -inf d) (#s(alt #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c))) (patch #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) (taylor -inf d) (#s(alt #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c))) (patch #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) (taylor -inf d) (#s(alt #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c))) (patch #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) (taylor -inf d) (#s(alt #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c))) (patch #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) (pow c 2))) (taylor -inf d) (#s(alt (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)) (patch (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) (pow c 2))) (taylor -inf d) (#s(alt (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)) (patch (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) (pow c 2))) (taylor -inf d) (#s(alt (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)) (patch (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) (pow c 2))) (taylor -inf d) (#s(alt (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)) (patch (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) (pow c 2))) (taylor -inf d) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) (taylor -inf d) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) (taylor -inf d) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) (taylor -inf d) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (pow c 2) (* a d))) (taylor -inf d) (#s(alt (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c))) (patch (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (/ (* b (pow c 3)) (* (pow a 2) d)) (/ (pow c 2) a)) d)) (taylor -inf d) (#s(alt (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c))) (patch (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow b 2) (pow c 4)) (* (pow a 3) d))) (/ (* b (pow c 3)) (pow a 2))) d)) (/ (pow c 2) a)) d)) (taylor -inf d) (#s(alt (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c))) (patch (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (pow c 5)) (* (pow a 4) d)) (* -1 (/ (* (pow b 2) (pow c 4)) (pow a 3)))) d)) (/ (* b (pow c 3)) (pow a 2))) d)) (/ (pow c 2) a)) d)) (taylor -inf d) (#s(alt (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c))) (patch (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) c)) (taylor -inf d) (#s(alt (-.f64 b (/.f64 (*.f64 a d) c)) (patch (-.f64 b (/.f64 (*.f64 a d) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) (taylor -inf d) (#s(alt (-.f64 b (/.f64 (*.f64 a d) c)) (patch (-.f64 b (/.f64 (*.f64 a d) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) (taylor -inf d) (#s(alt (-.f64 b (/.f64 (*.f64 a d) c)) (patch (-.f64 b (/.f64 (*.f64 a d) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) (taylor -inf d) (#s(alt (-.f64 b (/.f64 (*.f64 a d) c)) (patch (-.f64 b (/.f64 (*.f64 a d) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor -inf d) (#s(alt (/.f64 (*.f64 a d) c) (patch (/.f64 (*.f64 a d) c) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor -inf d) (#s(alt (/.f64 (*.f64 a d) c) (patch (/.f64 (*.f64 a d) c) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor -inf d) (#s(alt (/.f64 (*.f64 a d) c) (patch (/.f64 (*.f64 a d) c) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor -inf d) (#s(alt (/.f64 (*.f64 a d) c) (patch (/.f64 (*.f64 a d) c) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 26.0ms | d | @ | inf | ((/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- (/ (* c b) d) a) d) (- (/ (* c b) d) a) (/ (* c b) d) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (neg a) d) (neg a) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* c b) (+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- b (/ (* a d) c)) c) (* (/ (neg a) c) (/ d c)) (/ (neg a) c) (/ 1 (/ c (- b (/ (* a d) c)))) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ c (- b (/ (* a d) c))) (- b (/ (* a d) c)) (/ (* a d) c)) |
| 8.0ms | b | @ | -inf | ((/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- (/ (* c b) d) a) d) (- (/ (* c b) d) a) (/ (* c b) d) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (neg a) d) (neg a) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* c b) (+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- b (/ (* a d) c)) c) (* (/ (neg a) c) (/ d c)) (/ (neg a) c) (/ 1 (/ c (- b (/ (* a d) c)))) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ c (- b (/ (* a d) c))) (- b (/ (* a d) c)) (/ (* a d) c)) |
| 3.0ms | a | @ | inf | ((/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- (/ (* c b) d) a) d) (- (/ (* c b) d) a) (/ (* c b) d) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (neg a) d) (neg a) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* c b) (+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- b (/ (* a d) c)) c) (* (/ (neg a) c) (/ d c)) (/ (neg a) c) (/ 1 (/ c (- b (/ (* a d) c)))) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ c (- b (/ (* a d) c))) (- b (/ (* a d) c)) (/ (* a d) c)) |
| 3.0ms | a | @ | 0 | ((/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- (/ (* c b) d) a) d) (- (/ (* c b) d) a) (/ (* c b) d) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (neg a) d) (neg a) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* c b) (+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- b (/ (* a d) c)) c) (* (/ (neg a) c) (/ d c)) (/ (neg a) c) (/ 1 (/ c (- b (/ (* a d) c)))) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ c (- b (/ (* a d) c))) (- b (/ (* a d) c)) (/ (* a d) c)) |
| 3.0ms | d | @ | -inf | ((/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- (/ (* c b) d) a) d) (- (/ (* c b) d) a) (/ (* c b) d) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (neg a) d) (neg a) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* c b) (+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- b (/ (* a d) c)) c) (* (/ (neg a) c) (/ d c)) (/ (neg a) c) (/ 1 (/ c (- b (/ (* a d) c)))) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ c (- b (/ (* a d) c))) (- b (/ (* a d) c)) (/ (* a d) c)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 549 | 9627 |
| 1 | 1863 | 9248 |
| 2 | 6469 | 9009 |
| 0 | 8168 | 8654 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(* -1 a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(* -1 (* a d)) |
(- (* b c) (* a d)) |
(- (* b c) (* a d)) |
(- (* b c) (* a d)) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(pow d 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(* -1 (/ (* a d) (pow c 2))) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ a c)) |
(* -1 (/ a c)) |
(* -1 (/ a c)) |
(* -1 (/ a c)) |
(* -1 (/ (* a d) (pow c 2))) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(* -1 (/ (pow c 2) (* a d))) |
(* (pow c 2) (- (* -1 (/ (* b c) (* (pow a 2) (pow d 2)))) (/ 1 (* a d)))) |
(* (pow c 2) (- (* c (- (* -1 (/ (* (pow b 2) c) (* (pow a 3) (pow d 3)))) (/ b (* (pow a 2) (pow d 2))))) (/ 1 (* a d)))) |
(* (pow c 2) (- (* c (- (* c (- (* -1 (/ (* (pow b 3) c) (* (pow a 4) (pow d 4)))) (/ (pow b 2) (* (pow a 3) (pow d 3))))) (/ b (* (pow a 2) (pow d 2))))) (/ 1 (* a d)))) |
(* -1 (/ (* a d) c)) |
(/ (- (* b c) (* a d)) c) |
(/ (- (* b c) (* a d)) c) |
(/ (- (* b c) (* a d)) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(/ (* b c) (pow d 2)) |
(* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2)))) |
(* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2)))) |
(* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2)))) |
(/ (* b c) d) |
(* c (+ (* -1 (/ a c)) (/ b d))) |
(* c (+ (* -1 (/ a c)) (/ b d))) |
(* c (+ (* -1 (/ a c)) (/ b d))) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(* b c) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ a c)) |
(* -1 (/ a c)) |
(* -1 (/ a c)) |
(* -1 (/ a c)) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(/ c b) |
(* c (+ (/ 1 b) (/ (* a d) (* (pow b 2) c)))) |
(* c (- (+ (/ 1 b) (/ (* (pow a 2) (pow d 2)) (* (pow b 3) (pow c 2)))) (* -1 (/ (* a d) (* (pow b 2) c))))) |
(* c (- (+ (/ 1 b) (/ (* (pow a 3) (pow d 3)) (* (pow b 4) (pow c 3)))) (+ (* -1 (/ (* a d) (* (pow b 2) c))) (* -1 (/ (* (pow a 2) (pow d 2)) (* (pow b 3) (pow c 2))))))) |
b |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) |
(/ (* b c) (pow d 2)) |
(* -1 (* c (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))) |
(* -1 (* c (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))) |
(* -1 (* c (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))) |
(/ (* b c) d) |
(* -1 (* c (+ (* -1 (/ b d)) (/ a c)))) |
(* -1 (* c (+ (* -1 (/ b d)) (/ a c)))) |
(* -1 (* c (+ (* -1 (/ b d)) (/ a c)))) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) |
(* b c) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ a c)) |
(* -1 (/ a c)) |
(* -1 (/ a c)) |
(* -1 (/ a c)) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) |
(/ c b) |
(* -1 (* c (- (* -1 (/ (* a d) (* (pow b 2) c))) (/ 1 b)))) |
(* -1 (* c (- (* -1 (/ (- (/ (* (pow a 2) (pow d 2)) (* (pow b 3) c)) (* -1 (/ (* a d) (pow b 2)))) c)) (/ 1 b)))) |
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow a 3) (pow d 3)) (* (pow b 4) c))) (/ (* (pow a 2) (pow d 2)) (pow b 3))) c)) (* -1 (/ (* a d) (pow b 2)))) c)) (/ 1 b)))) |
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) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(* -1 a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a d)) |
(- (* b c) (* a d)) |
(- (* b c) (* a d)) |
(- (* b c) (* a d)) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (pow c 2))) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(* -1 (/ (* a d) (pow c 2))) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (pow c 2) (* a d))) |
(+ (* -1 (/ (* b (pow c 3)) (* (pow a 2) (pow d 2)))) (* -1 (/ (pow c 2) (* a d)))) |
(+ (* -1 (/ (pow c 2) (* a d))) (* b (- (* -1 (/ (* b (pow c 4)) (* (pow a 3) (pow d 3)))) (/ (pow c 3) (* (pow a 2) (pow d 2)))))) |
(+ (* -1 (/ (pow c 2) (* a d))) (* b (- (* b (- (* -1 (/ (* b (pow c 5)) (* (pow a 4) (pow d 4)))) (/ (pow c 4) (* (pow a 3) (pow d 3))))) (/ (pow c 3) (* (pow a 2) (pow d 2)))))) |
(* -1 (/ (* a d) c)) |
(- b (/ (* a d) c)) |
(- b (/ (* a d) c)) |
(- b (/ (* a d) c)) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(/ (* b c) (pow d 2)) |
(* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2)))) |
(* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2)))) |
(* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2)))) |
(/ (* b c) d) |
(* b (+ (* -1 (/ a b)) (/ c d))) |
(* b (+ (* -1 (/ a b)) (/ c d))) |
(* b (+ (* -1 (/ a b)) (/ c d))) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b c) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(/ b c) |
(* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c))) |
(* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c))) |
(* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c))) |
(/ b c) |
(* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c))) |
(* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c))) |
(* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(/ c b) |
(/ (+ c (/ (* a d) b)) b) |
(/ (- (+ c (/ (* (pow a 2) (pow d 2)) (* (pow b 2) c))) (* -1 (/ (* a d) b))) b) |
(/ (- (+ c (/ (* (pow a 3) (pow d 3)) (* (pow b 3) (pow c 2)))) (+ (* -1 (/ (* a d) b)) (* -1 (/ (* (pow a 2) (pow d 2)) (* (pow b 2) c))))) b) |
b |
(* b (+ 1 (* -1 (/ (* a d) (* b c))))) |
(* b (+ 1 (* -1 (/ (* a d) (* b c))))) |
(* b (+ 1 (* -1 (/ (* a d) (* b c))))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(/ (* b c) (pow d 2)) |
(* -1 (* b (+ (* -1 (/ c (pow d 2))) (/ a (* b d))))) |
(* -1 (* b (+ (* -1 (/ c (pow d 2))) (/ a (* b d))))) |
(* -1 (* b (+ (* -1 (/ c (pow d 2))) (/ a (* b d))))) |
(/ (* b c) d) |
(* -1 (* b (+ (* -1 (/ c d)) (/ a b)))) |
(* -1 (* b (+ (* -1 (/ c d)) (/ a b)))) |
(* -1 (* b (+ (* -1 (/ c d)) (/ a b)))) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* b c) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(/ b c) |
(* -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 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c)))) |
(* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c)))) |
(* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c)))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(/ c b) |
(* -1 (/ (+ (* -1 c) (* -1 (/ (* a d) b))) b)) |
(* -1 (/ (+ (* -1 c) (* -1 (/ (+ (* a d) (/ (* (pow a 2) (pow d 2)) (* b c))) b))) b)) |
(* -1 (/ (+ (* -1 c) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow a 2) (pow d 2)) c)) (* -1 (/ (* (pow a 3) (pow d 3)) (* b (pow c 2))))) b)) (* a d)) b))) b)) |
b |
(* -1 (* b (- (/ (* a d) (* b c)) 1))) |
(* -1 (* b (- (/ (* a d) (* b c)) 1))) |
(* -1 (* b (- (/ (* a d) (* b c)) 1))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(/ (* b c) (pow d 2)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/ (* b c) d) |
(+ (* -1 a) (/ (* b c) d)) |
(+ (* -1 a) (/ (* b c) d)) |
(+ (* -1 a) (/ (* b c) d)) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* b c) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ a c)) |
(* -1 (/ a c)) |
(* -1 (/ a c)) |
(* -1 (/ a c)) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(/ c b) |
(+ (/ c b) (/ (* a d) (pow b 2))) |
(+ (* a (- (/ (* a (pow d 2)) (* (pow b 3) c)) (* -1 (/ d (pow b 2))))) (/ c b)) |
(+ (* a (- (* a (- (/ (* a (pow d 3)) (* (pow b 4) (pow c 2))) (* -1 (/ (pow d 2) (* (pow b 3) c))))) (* -1 (/ d (pow b 2))))) (/ c b)) |
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) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ a d)) |
(* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d))) |
(* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d))) |
(* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d))) |
(* -1 a) |
(* a (- (/ (* b c) (* a d)) 1)) |
(* a (- (/ (* b c) (* a d)) 1)) |
(* a (- (/ (* b c) (* a d)) 1)) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a d)) |
(* a (- (/ (* b c) a) d)) |
(* a (- (/ (* b c) a) d)) |
(* a (- (/ (* b c) a) d)) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ (* a d) (pow c 2))) |
(* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c)))) |
(* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c)))) |
(* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c)))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ a c)) |
(* -1 (/ a c)) |
(* -1 (/ a c)) |
(* -1 (/ a c)) |
(* -1 (/ (* a d) (pow c 2))) |
(* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c)))) |
(* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c)))) |
(* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ (pow c 2) (* a d))) |
(/ (+ (* -1 (/ (* b (pow c 3)) (* a (pow d 2)))) (* -1 (/ (pow c 2) d))) a) |
(/ (- (+ (* -1 (/ (* (pow b 2) (pow c 4)) (* (pow a 2) (pow d 3)))) (* -1 (/ (pow c 2) d))) (/ (* b (pow c 3)) (* a (pow d 2)))) a) |
(/ (- (+ (* -1 (/ (* (pow b 3) (pow c 5)) (* (pow a 3) (pow d 4)))) (* -1 (/ (pow c 2) d))) (+ (/ (* b (pow c 3)) (* a (pow d 2))) (/ (* (pow b 2) (pow c 4)) (* (pow a 2) (pow d 3))))) a) |
(* -1 (/ (* a d) c)) |
(* a (- (/ b a) (/ d c))) |
(* a (- (/ b a) (/ d c))) |
(* a (- (/ b a) (/ d c))) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ a d)) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (/ 1 d)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (/ 1 d)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (/ 1 d)))) |
(* -1 a) |
(* -1 (* a (+ 1 (* -1 (/ (* b c) (* a d)))))) |
(* -1 (* a (+ 1 (* -1 (/ (* b c) (* a d)))))) |
(* -1 (* a (+ 1 (* -1 (/ (* b c) (* a d)))))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a d)) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2))))) |
(* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2))))) |
(* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2))))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ a c)) |
(* -1 (/ a c)) |
(* -1 (/ a c)) |
(* -1 (/ a c)) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2))))) |
(* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2))))) |
(* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2))))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ (pow c 2) (* a d))) |
(* -1 (/ (+ (/ (* b (pow c 3)) (* a (pow d 2))) (/ (pow c 2) d)) a)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow b 2) (pow c 4)) (* a (pow d 3)))) (/ (* b (pow c 3)) (pow d 2))) a)) (/ (pow c 2) d)) a)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (pow c 5)) (* a (pow d 4))) (* -1 (/ (* (pow b 2) (pow c 4)) (pow d 3)))) a)) (/ (* b (pow c 3)) (pow d 2))) a)) (/ (pow c 2) d)) a)) |
(* -1 (/ (* a d) c)) |
(* -1 (* a (- (* -1 (/ b a)) (* -1 (/ d c))))) |
(* -1 (* a (- (* -1 (/ b a)) (* -1 (/ d c))))) |
(* -1 (* a (- (* -1 (/ b a)) (* -1 (/ d c))))) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(/ (* b c) (pow d 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow d 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow d 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow d 2)) |
(/ (* b c) d) |
(/ (+ (* -1 (* a d)) (* b c)) d) |
(/ (+ (* -1 (* a d)) (* b c)) d) |
(/ (+ (* -1 (* a d)) (* b c)) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(* b c) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(pow c 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(/ c b) |
(+ (/ c b) (/ (* a d) (pow b 2))) |
(+ (* d (- (/ (* (pow a 2) d) (* (pow b 3) c)) (* -1 (/ a (pow b 2))))) (/ c b)) |
(+ (* d (- (* d (- (/ (* (pow a 3) d) (* (pow b 4) (pow c 2))) (* -1 (/ (pow a 2) (* (pow b 3) c))))) (* -1 (/ a (pow b 2))))) (/ c b)) |
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) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(* -1 a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(* -1 (* a d)) |
(* d (- (/ (* b c) d) a)) |
(* d (- (/ (* b c) d) a)) |
(* d (- (/ (* b c) d) a)) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(* -1 (/ (* a d) (pow c 2))) |
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(* -1 (/ (pow c 2) (* a d))) |
(/ (+ (* -1 (/ (* b (pow c 3)) (* (pow a 2) d))) (* -1 (/ (pow c 2) a))) d) |
(/ (- (+ (* -1 (/ (* (pow b 2) (pow c 4)) (* (pow a 3) (pow d 2)))) (* -1 (/ (pow c 2) a))) (/ (* b (pow c 3)) (* (pow a 2) d))) d) |
(/ (- (+ (* -1 (/ (* (pow b 3) (pow c 5)) (* (pow a 4) (pow d 3)))) (* -1 (/ (pow c 2) a))) (+ (/ (* b (pow c 3)) (* (pow a 2) d)) (/ (* (pow b 2) (pow c 4)) (* (pow a 3) (pow d 2))))) d) |
(* -1 (/ (* a d) c)) |
(* d (- (/ b d) (/ a c))) |
(* d (- (/ b d) (/ a c))) |
(* d (- (/ b d) (/ a c))) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(* -1 (* a d)) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(* -1 (/ (pow c 2) (* a d))) |
(* -1 (/ (+ (/ (* b (pow c 3)) (* (pow a 2) d)) (/ (pow c 2) a)) d)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow b 2) (pow c 4)) (* (pow a 3) d))) (/ (* b (pow c 3)) (pow a 2))) d)) (/ (pow c 2) a)) d)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (pow c 5)) (* (pow a 4) d)) (* -1 (/ (* (pow b 2) (pow c 4)) (pow a 3)))) d)) (/ (* b (pow c 3)) (pow a 2))) d)) (/ (pow c 2) a)) d)) |
(* -1 (/ (* a d) c)) |
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) |
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) |
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
| Outputs |
|---|
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 3 binary64))) a (/.f64 b (*.f64 d d))) c (/.f64 (neg.f64 a) d)) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(fma.f64 (*.f64 c c) (fma.f64 (neg.f64 b) (/.f64 c (pow.f64 d #s(literal 4 binary64))) (/.f64 a (pow.f64 d #s(literal 3 binary64)))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) |
(* -1 a) |
(neg.f64 a) |
(- (/ (* b c) d) a) |
(-.f64 (/.f64 (*.f64 c b) d) a) |
(- (/ (* b c) d) a) |
(-.f64 (/.f64 (*.f64 c b) d) a) |
(- (/ (* b c) d) a) |
(-.f64 (/.f64 (*.f64 c b) d) a) |
(/ (* b c) d) |
(/.f64 (*.f64 c b) d) |
(/ (* b c) d) |
(/.f64 (*.f64 c b) d) |
(/ (* b c) d) |
(/.f64 (*.f64 c b) d) |
(/ (* b c) d) |
(/.f64 (*.f64 c b) d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 3 binary64))) a (/.f64 b (*.f64 d d))) c (/.f64 (neg.f64 a) d)) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(fma.f64 (*.f64 c c) (fma.f64 (neg.f64 b) (/.f64 c (pow.f64 d #s(literal 4 binary64))) (/.f64 a (pow.f64 d #s(literal 3 binary64)))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 3 binary64))) a (/.f64 b (*.f64 d d))) c (/.f64 (neg.f64 a) d)) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(fma.f64 (*.f64 c c) (fma.f64 (neg.f64 b) (/.f64 c (pow.f64 d #s(literal 4 binary64))) (/.f64 a (pow.f64 d #s(literal 3 binary64)))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) |
(* -1 (* a d)) |
(*.f64 (neg.f64 a) d) |
(- (* b c) (* a d)) |
(fma.f64 (neg.f64 a) d (*.f64 c b)) |
(- (* b c) (* a d)) |
(fma.f64 (neg.f64 a) d (*.f64 c b)) |
(- (* b c) (* a d)) |
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(/.f64 (-.f64 a (/.f64 (fma.f64 (*.f64 c (/.f64 c d)) a (*.f64 c b)) d)) (neg.f64 d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 c b (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) b) d) (*.f64 (*.f64 c c) a)) d)) d)) (neg.f64 d)) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 (*.f64 c (/.f64 c d)) a (*.f64 c b)) d)) (neg.f64 d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 c b (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) b) d) (*.f64 (*.f64 c c) a)) d)) d)) (neg.f64 d)) |
(* -1 (* a d)) |
(*.f64 (neg.f64 a) d) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(*.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(*.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(*.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) |
(pow d 2) |
(*.f64 d d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) d) d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) d) d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) d) d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 (*.f64 c (/.f64 c d)) a (*.f64 c b)) d)) (neg.f64 d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 c b (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) b) d) (*.f64 (*.f64 c c) a)) d)) d)) (neg.f64 d)) |
(* -1 (/ (* a d) (pow c 2))) |
(*.f64 (/.f64 (/.f64 (neg.f64 a) c) c) d) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(*.f64 (-.f64 (/.f64 (/.f64 b d) c) (/.f64 (/.f64 a c) c)) d) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(*.f64 (-.f64 (/.f64 (/.f64 b d) c) (/.f64 (/.f64 a c) c)) d) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(*.f64 (-.f64 (/.f64 (/.f64 b d) c) (/.f64 (/.f64 a c) c)) d) |
(* -1 (/ (* a d) (pow c 2))) |
(*.f64 (/.f64 (/.f64 (neg.f64 a) c) c) d) |
(* -1 (/ (* a d) (pow c 2))) |
(*.f64 (/.f64 (/.f64 (neg.f64 a) c) c) d) |
(* -1 (/ (* a d) (pow c 2))) |
(*.f64 (/.f64 (/.f64 (neg.f64 a) c) c) d) |
(* -1 (/ (* a d) (pow c 2))) |
(*.f64 (/.f64 (/.f64 (neg.f64 a) c) c) d) |
(* -1 (/ (* a d) (pow c 2))) |
(*.f64 (/.f64 (/.f64 (neg.f64 a) c) c) d) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(*.f64 (-.f64 (/.f64 (/.f64 b d) c) (/.f64 (/.f64 a c) c)) d) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(*.f64 (-.f64 (/.f64 (/.f64 b d) c) (/.f64 (/.f64 a c) c)) d) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(*.f64 (-.f64 (/.f64 (/.f64 b d) c) (/.f64 (/.f64 a c) c)) d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 (*.f64 c (/.f64 c d)) a (*.f64 c b)) d)) (neg.f64 d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 c b (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) b) d) (*.f64 (*.f64 c c) a)) d)) d)) (neg.f64 d)) |
(* -1 (/ (pow c 2) (* a d))) |
(/.f64 (*.f64 (neg.f64 c) c) (*.f64 d a)) |
(* -1 (/ (+ (/ (* b (pow c 3)) (* (pow a 2) d)) (/ (pow c 2) a)) d)) |
(/.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) d) (/.f64 (/.f64 b a) a) (/.f64 (*.f64 c c) a)) (neg.f64 d)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow b 2) (pow c 4)) (* (pow a 3) d))) (/ (* b (pow c 3)) (pow a 2))) d)) (/ (pow c 2) a)) d)) |
(/.f64 (fma.f64 c (/.f64 c a) (/.f64 (fma.f64 (/.f64 (*.f64 b b) d) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 3 binary64))) (*.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a) (/.f64 b a))) d)) (neg.f64 d)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (pow c 5)) (* (pow a 4) d)) (* -1 (/ (* (pow b 2) (pow c 4)) (pow a 3)))) d)) (/ (* b (pow c 3)) (pow a 2))) d)) (/ (pow c 2) a)) d)) |
(/.f64 (fma.f64 c (/.f64 c a) (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) d) (/.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) b) b) (pow.f64 a #s(literal 3 binary64)))) d) (*.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a) (/.f64 b a))) d)) (neg.f64 d)) |
(* -1 (/ (* a d) c)) |
(/.f64 (*.f64 (neg.f64 a) d) c) |
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) |
(*.f64 (-.f64 (/.f64 b d) (/.f64 a c)) d) |
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) |
(*.f64 (-.f64 (/.f64 b d) (/.f64 a c)) d) |
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) |
(*.f64 (-.f64 (/.f64 b d) (/.f64 a c)) d) |
(/ (* a d) c) |
(*.f64 d (/.f64 a c)) |
(/ (* a d) c) |
(*.f64 d (/.f64 a c)) |
(/ (* a d) c) |
(*.f64 d (/.f64 a c)) |
(/ (* a d) c) |
(*.f64 d (/.f64 a c)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 243 |
| 0 | 54 | 239 |
| 1 | 208 | 239 |
| 2 | 1531 | 239 |
| 0 | 8631 | 233 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) |
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) |
(-.f64 (/.f64 (*.f64 c b) d) a) |
(/.f64 (*.f64 c b) d) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
(/.f64 (neg.f64 a) d) |
(neg.f64 a) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (- (* b c) (* a d)) (*.f64 c b)) |
(*.f64 c b) |
#s(approx (+ (* c c) (* d d)) (*.f64 c c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) |
#s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c))) |
(*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)) |
(/.f64 (neg.f64 a) c) |
(/.f64 #s(literal 1 binary64) (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c))))) |
(/.f64 c (-.f64 b (/.f64 (*.f64 a d) c))) |
(-.f64 b (/.f64 (*.f64 a d) c)) |
(/.f64 (*.f64 a d) c) |
| Outputs |
|---|
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Compiled 28 359 to 3 849 computations (86.4% saved)
21 alts after pruning (15 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 643 | 9 | 1 652 |
| Fresh | 9 | 6 | 15 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 3 | 4 |
| Total | 1 655 | 21 | 1 676 |
| Status | Accuracy | Program |
|---|---|---|
| 37.1% | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| ✓ | 34.0% | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
| ▶ | 18.8% | (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
| 20.5% | (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| ✓ | 27.2% | (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
| 55.4% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) d)) | |
| ▶ | 59.7% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) |
| 59.7% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) | |
| 53.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 a (/.f64 (fma.f64 (*.f64 c (/.f64 c d)) a (*.f64 c b)) d)) (neg.f64 d))) | |
| ✓ | 49.5% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
| 21.8% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- (/ (* c b) d) a) (/.f64 (*.f64 c b) d)) d)) | |
| ▶ | 21.2% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) |
| ✓ | 38.8% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
| 49.1% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) a))) | |
| 38.6% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) | |
| 45.1% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a))) | |
| ✓ | 40.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) |
| ▶ | 28.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) |
| ✓ | 21.4% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) |
| ▶ | 18.5% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))))) |
| 20.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (neg.f64 a) (/.f64 (/.f64 d c) c)))) |
Compiled 387 to 355 computations (8.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (neg.f64 a) (/.f64 d c)) | |
| cost-diff | 0 | #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) | |
| cost-diff | 0 | (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) | |
| cost-diff | 0 | #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c)))) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))))) | |
| cost-diff | 128 | (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c)) | |
| cost-diff | 192 | (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))) | |
| cost-diff | 0 | (neg.f64 a) | |
| cost-diff | 0 | (*.f64 (neg.f64 a) d) | |
| cost-diff | 0 | #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) | |
| cost-diff | 0 | (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| cost-diff | 0 | #s(approx (+ (* c c) (* d d)) (*.f64 c c)) | |
| cost-diff | 0 | (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| cost-diff | 0 | (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) | |
| cost-diff | 0 | (/.f64 b d) | |
| cost-diff | 0 | (fma.f64 (/.f64 b d) c (neg.f64 a)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 345 |
| 0 | 58 | 345 |
| 1 | 103 | 338 |
| 2 | 194 | 338 |
| 3 | 487 | 338 |
| 4 | 1082 | 338 |
| 5 | 1584 | 338 |
| 6 | 2226 | 338 |
| 7 | 3069 | 338 |
| 8 | 3694 | 338 |
| 9 | 3928 | 338 |
| 10 | 4037 | 338 |
| 11 | 4056 | 338 |
| 12 | 4081 | 338 |
| 13 | 4111 | 338 |
| 14 | 4244 | 338 |
| 15 | 4304 | 338 |
| 16 | 4310 | 338 |
| 17 | 4311 | 338 |
| 18 | 4311 | 338 |
| 19 | 4339 | 338 |
| 20 | 4379 | 338 |
| 21 | 4395 | 338 |
| 22 | 4395 | 338 |
| 0 | 4395 | 328 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) |
(/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) |
(fma.f64 (/.f64 b d) c (neg.f64 a)) |
(/.f64 b d) |
b |
d |
c |
(neg.f64 a) |
a |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) |
(*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c) |
(/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
b |
#s(approx (+ (* c c) (* d d)) (*.f64 c c)) |
(*.f64 c c) |
c |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) |
(*.f64 (neg.f64 a) d) |
(neg.f64 a) |
a |
d |
#s(approx (+ (* c c) (* d d)) (*.f64 c c)) |
(*.f64 c c) |
c |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))))) |
#s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c)))) |
(*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))) |
(*.f64 d a) |
d |
a |
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c)) |
#s(literal 1 binary64) |
(*.f64 (neg.f64 c) c) |
(neg.f64 c) |
c |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) |
(/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c) |
#s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) |
(*.f64 (neg.f64 a) (/.f64 d c)) |
(neg.f64 a) |
a |
(/.f64 d c) |
d |
c |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) |
(/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) |
(fma.f64 (/.f64 b d) c (neg.f64 a)) |
(/.f64 b d) |
b |
d |
c |
(neg.f64 a) |
a |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c b) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))) |
(*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c) |
(/.f64 (*.f64 c b) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
b |
#s(approx (+ (* c c) (* d d)) (*.f64 c c)) |
(*.f64 c c) |
c |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) |
(*.f64 (neg.f64 a) d) |
(neg.f64 a) |
a |
d |
#s(approx (+ (* c c) (* d d)) (*.f64 c c)) |
(*.f64 c c) |
c |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 a (*.f64 (neg.f64 c) c)) d))) |
#s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c)))) |
#s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 a (*.f64 (neg.f64 c) c)) d)) |
(*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))) |
(*.f64 (/.f64 a (*.f64 (neg.f64 c) c)) d) |
(*.f64 d a) |
d |
a |
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c)) |
(/.f64 #s(literal -1 binary64) (*.f64 c c)) |
#s(literal 1 binary64) |
(*.f64 (neg.f64 c) c) |
(neg.f64 c) |
c |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (/.f64 (*.f64 (neg.f64 a) d) c)) c)) |
(/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c) |
(/.f64 #s(approx (- b (/ (* a d) c)) (/.f64 (*.f64 (neg.f64 a) d) c)) c) |
#s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) |
#s(approx (- b (/ (* a d) c)) (/.f64 (*.f64 (neg.f64 a) d) c)) |
(*.f64 (neg.f64 a) (/.f64 d c)) |
(/.f64 (*.f64 (neg.f64 a) d) c) |
(neg.f64 a) |
a |
(/.f64 d c) |
d |
c |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.2420136351993503 | (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c) | |
| accuracy | 6.4938478560973465 | (*.f64 (neg.f64 a) (/.f64 d c)) | |
| accuracy | 27.60161087935175 | #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) | |
| accuracy | 32.407111596009756 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) | |
| accuracy | 0.2414983786392092 | (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c)) | |
| accuracy | 12.048523582702874 | (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))) | |
| accuracy | 23.262376246915778 | #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c)))) | |
| accuracy | 32.407111596009756 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))))) | |
| accuracy | 0 | (neg.f64 a) | |
| accuracy | 24.213870955406794 | (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| accuracy | 26.79982913378505 | #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) | |
| accuracy | 28.6908391511934 | #s(approx (+ (* c c) (* d d)) (*.f64 c c)) | |
| accuracy | 7.47833168576061 | (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| accuracy | 9.10474163341843 | (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c) | |
| accuracy | 28.6908391511934 | #s(approx (+ (* c c) (* d d)) (*.f64 c c)) | |
| accuracy | 29.09529567643005 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) | |
| accuracy | 0 | (neg.f64 a) | |
| accuracy | 0.49628557389134786 | (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) | |
| accuracy | 2.459121652718382 | (fma.f64 (/.f64 b d) c (neg.f64 a)) | |
| accuracy | 25.777095324387663 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) |
| 65.0ms | 256× | 0 | valid |
Compiled 230 to 32 computations (86.1% saved)
ival-mult: 23.0ms (49.2% of total)ival-div: 13.0ms (27.8% of total)ival-add: 5.0ms (10.7% 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 (/.f64 b d) c (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) (patch (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 b d) c (neg.f64 a)) (patch (fma.f64 (/.f64 b d) c (neg.f64 a)) #<representation binary64>) () ()) |
#s(alt (/.f64 b d) (patch (/.f64 b d) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c) (patch (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c) #<representation binary64>) () ()) |
#s(alt (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) (patch #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 a) d) (patch (*.f64 (neg.f64 a) d) #<representation binary64>) () ()) |
#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))) (patch (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c)))) (patch #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c) (patch (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c) #<representation binary64>) () ()) |
#s(alt #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) (patch #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 a) (/.f64 d c)) (patch (*.f64 (neg.f64 a) (/.f64 d c)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (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 (/.f64 b d) c (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (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 (/.f64 b d) c (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (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 (/.f64 b d) c (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) (patch (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) (patch (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) (patch (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) (patch (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 a) (taylor 0 c) (#s(alt (fma.f64 (/.f64 b d) c (neg.f64 a)) (patch (fma.f64 (/.f64 b d) c (neg.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ (* b c) d) a) (taylor 0 c) (#s(alt (fma.f64 (/.f64 b d) c (neg.f64 a)) (patch (fma.f64 (/.f64 b d) c (neg.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ (* b c) d) a) (taylor 0 c) (#s(alt (fma.f64 (/.f64 b d) c (neg.f64 a)) (patch (fma.f64 (/.f64 b d) c (neg.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ (* b c) d) a) (taylor 0 c) (#s(alt (fma.f64 (/.f64 b d) c (neg.f64 a)) (patch (fma.f64 (/.f64 b d) c (neg.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) (pow d 2)) (taylor 0 c) (#s(alt (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c) (patch (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1 (/ (* b (pow c 2)) (pow d 4))) (/ b (pow d 2)))) (taylor 0 c) (#s(alt (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c) (patch (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 6)) (/ b (pow d 4)))) (/ b (pow d 2)))) (taylor 0 c) (#s(alt (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c) (patch (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 8))) (* -1 (/ b (pow d 6))))) (/ b (pow d 4)))) (/ b (pow d 2)))) (taylor 0 c) (#s(alt (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c) (patch (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c) #<representation binary64>) () ())) ()) |
#s(alt (/ b (pow d 2)) (taylor 0 c) (#s(alt (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* b (pow c 2)) (pow d 4))) (/ b (pow d 2))) (taylor 0 c) (#s(alt (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 6)) (/ b (pow d 4)))) (/ b (pow d 2))) (taylor 0 c) (#s(alt (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 8))) (* -1 (/ b (pow d 6))))) (/ b (pow d 4)))) (/ b (pow d 2))) (taylor 0 c) (#s(alt (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (pow d 2) (taylor 0 c) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) (taylor 0 c) (#s(alt (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) (taylor 0 c) (#s(alt (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a d)) (taylor 0 c) (#s(alt #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) (patch #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #<representation binary64>) () ())) ()) |
#s(alt (- (* b c) (* a d)) (taylor 0 c) (#s(alt #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) (patch #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #<representation binary64>) () ())) ()) |
#s(alt (- (* b c) (* a d)) (taylor 0 c) (#s(alt #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) (patch #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #<representation binary64>) () ())) ()) |
#s(alt (- (* b c) (* a d)) (taylor 0 c) (#s(alt #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) (patch #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) (pow c 2))) (taylor 0 c) (#s(alt (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))) (patch (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) (pow c 2))) (taylor 0 c) (#s(alt (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))) (patch (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) (pow c 2))) (taylor 0 c) (#s(alt (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))) (patch (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) (pow c 2))) (taylor 0 c) (#s(alt (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))) (patch (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow c 2)) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow c 2)) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow c 2)) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow c 2)) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c)) (patch (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))))) #<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))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))))) #<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))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))))) #<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))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) (pow c 2))) (taylor 0 c) (#s(alt #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c)))) (patch #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c)))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))))) #<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))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))))) #<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))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) (pow c 2))) (taylor -inf d) (#s(alt #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c)))) (patch #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) (taylor -inf d) (#s(alt #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c)))) (patch #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) (taylor -inf d) (#s(alt #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c)))) (patch #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) (taylor -inf d) (#s(alt #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c)))) (patch #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.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 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) (pow c 2))) (taylor -inf d) (#s(alt (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c) (patch (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) (taylor -inf d) (#s(alt (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c) (patch (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) (taylor -inf d) (#s(alt (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c) (patch (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) (taylor -inf d) (#s(alt (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c) (patch (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) c)) (taylor -inf d) (#s(alt #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) (patch #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) (taylor -inf d) (#s(alt #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) (patch #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) (taylor -inf d) (#s(alt #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) (patch #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) (taylor -inf d) (#s(alt #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) (patch #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) c)) (taylor -inf d) (#s(alt (*.f64 (neg.f64 a) (/.f64 d c)) (patch (*.f64 (neg.f64 a) (/.f64 d c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) c)) (taylor -inf d) (#s(alt (*.f64 (neg.f64 a) (/.f64 d c)) (patch (*.f64 (neg.f64 a) (/.f64 d c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) c)) (taylor -inf d) (#s(alt (*.f64 (neg.f64 a) (/.f64 d c)) (patch (*.f64 (neg.f64 a) (/.f64 d c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) c)) (taylor -inf d) (#s(alt (*.f64 (neg.f64 a) (/.f64 d c)) (patch (*.f64 (neg.f64 a) (/.f64 d c)) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 17.0ms | c | @ | -inf | ((/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (+ (* (/ b d) c) (neg a)) d) (+ (* (/ b d) c) (neg a)) (/ b d) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (/ b (+ (* c c) (* d d))) c) (/ b (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* (neg a) d) (neg a) (* (* d a) (/ 1 (* (neg c) c))) (/ 1 (* (neg c) c)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- b (/ (* a d) c)) c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- b (/ (* a d) c)) c) (- b (/ (* a d) c)) (* (neg a) (/ d c))) |
| 2.0ms | b | @ | -inf | ((/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (+ (* (/ b d) c) (neg a)) d) (+ (* (/ b d) c) (neg a)) (/ b d) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (/ b (+ (* c c) (* d d))) c) (/ b (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* (neg a) d) (neg a) (* (* d a) (/ 1 (* (neg c) c))) (/ 1 (* (neg c) c)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- b (/ (* a d) c)) c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- b (/ (* a d) c)) c) (- b (/ (* a d) c)) (* (neg a) (/ d c))) |
| 2.0ms | d | @ | -inf | ((/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (+ (* (/ b d) c) (neg a)) d) (+ (* (/ b d) c) (neg a)) (/ b d) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (/ b (+ (* c c) (* d d))) c) (/ b (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* (neg a) d) (neg a) (* (* d a) (/ 1 (* (neg c) c))) (/ 1 (* (neg c) c)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- b (/ (* a d) c)) c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- b (/ (* a d) c)) c) (- b (/ (* a d) c)) (* (neg a) (/ d c))) |
| 2.0ms | d | @ | inf | ((/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (+ (* (/ b d) c) (neg a)) d) (+ (* (/ b d) c) (neg a)) (/ b d) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (/ b (+ (* c c) (* d d))) c) (/ b (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* (neg a) d) (neg a) (* (* d a) (/ 1 (* (neg c) c))) (/ 1 (* (neg c) c)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- b (/ (* a d) c)) c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- b (/ (* a d) c)) c) (- b (/ (* a d) c)) (* (neg a) (/ d c))) |
| 2.0ms | a | @ | inf | ((/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (+ (* (/ b d) c) (neg a)) d) (+ (* (/ b d) c) (neg a)) (/ b d) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (/ b (+ (* c c) (* d d))) c) (/ b (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* (neg a) d) (neg a) (* (* d a) (/ 1 (* (neg c) c))) (/ 1 (* (neg c) c)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- b (/ (* a d) c)) c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- b (/ (* a d) c)) c) (- b (/ (* a d) c)) (* (neg a) (/ d c))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 423 | 9452 |
| 1 | 1352 | 9079 |
| 2 | 4160 | 8827 |
| 0 | 8294 | 8467 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(* -1 a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(/ (* b c) (pow d 2)) |
(* c (+ (* -1 (/ (* b (pow c 2)) (pow d 4))) (/ b (pow d 2)))) |
(* c (+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 6)) (/ b (pow d 4)))) (/ b (pow d 2)))) |
(* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 8))) (* -1 (/ b (pow d 6))))) (/ b (pow d 4)))) (/ b (pow d 2)))) |
(/ b (pow d 2)) |
(+ (* -1 (/ (* b (pow c 2)) (pow d 4))) (/ b (pow d 2))) |
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 6)) (/ b (pow d 4)))) (/ b (pow d 2))) |
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* b (pow c 2)) (pow d 8))) (* -1 (/ b (pow d 6))))) (/ b (pow d 4)))) (/ b (pow d 2))) |
(pow d 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(* -1 (* a d)) |
(- (* b c) (* a d)) |
(- (* b c) (* a d)) |
(- (* b c) (* a d)) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
(/ -1 (pow c 2)) |
(/ -1 (pow c 2)) |
(/ -1 (pow c 2)) |
(/ -1 (pow c 2)) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(* -1 (/ (* a d) (pow c 2))) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(* -1 (/ (* a d) (pow c 2))) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(* -1 (/ (* a d) c)) |
(/ (- (* b c) (* a d)) c) |
(/ (- (* b c) (* a d)) c) |
(/ (- (* b c) (* a d)) c) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(/ (* b c) (pow d 2)) |
(* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2)))) |
(* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2)))) |
(* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2)))) |
(/ (* b c) d) |
(* c (+ (* -1 (/ a c)) (/ b d))) |
(* c (+ (* -1 (/ a c)) (/ b d))) |
(* c (+ (* -1 (/ a c)) (/ b d))) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(/ b c) |
(/ (+ b (* -1 (/ (* b (pow d 2)) (pow c 2)))) c) |
(/ (- (+ b (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2))) c) |
(/ (- (+ b (* -1 (/ (* b (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2)))) c) |
(/ b (pow c 2)) |
(/ (+ b (* -1 (/ (* b (pow d 2)) (pow c 2)))) (pow c 2)) |
(/ (- (+ b (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2))) (pow c 2)) |
(/ (- (+ b (* -1 (/ (* b (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2)))) (pow c 2)) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(* b c) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
(/ -1 (pow c 2)) |
(/ -1 (pow c 2)) |
(/ -1 (pow c 2)) |
(/ -1 (pow c 2)) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
b |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) |
(/ (* b c) (pow d 2)) |
(* -1 (* c (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))) |
(* -1 (* c (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))) |
(* -1 (* c (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))) |
(/ (* b c) d) |
(* -1 (* c (+ (* -1 (/ b d)) (/ a c)))) |
(* -1 (* c (+ (* -1 (/ b d)) (/ a c)))) |
(* -1 (* c (+ (* -1 (/ b d)) (/ a c)))) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* b (pow d 2)) (pow c 2))) c)) |
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2)))) c)) |
(* -1 (/ (+ (* -1 b) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (+ (/ (* b (pow d 2)) (pow c 2)) (/ (* b (pow d 6)) (pow c 6))))) c)) |
(/ b (pow c 2)) |
(/ (+ b (* -1 (/ (* b (pow d 2)) (pow c 2)))) (pow c 2)) |
(/ (- (+ b (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2))) (pow c 2)) |
(/ (- (+ b (* -1 (/ (* b (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* b (pow d 4)) (pow c 4))) (/ (* b (pow d 2)) (pow c 2)))) (pow c 2)) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) |
(* b c) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
(/ -1 (pow c 2)) |
(/ -1 (pow c 2)) |
(/ -1 (pow c 2)) |
(/ -1 (pow c 2)) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
b |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(* -1 a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b 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 c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ b (+ (pow c 2) (pow d 2))) |
(/ b (+ (pow c 2) (pow d 2))) |
(/ b (+ (pow c 2) (pow d 2))) |
(/ b (+ (pow c 2) (pow d 2))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a d)) |
(- (* b c) (* a d)) |
(- (* b c) (* a d)) |
(- (* b c) (* 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)))) |
(* -1 (/ (* a d) (pow c 2))) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (pow c 2))) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(* -1 (/ (* a d) c)) |
(- b (/ (* a d) c)) |
(- b (/ (* a d) c)) |
(- b (/ (* a d) c)) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(/ (* b c) (pow d 2)) |
(* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2)))) |
(* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2)))) |
(* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2)))) |
(/ (* b c) d) |
(* b (+ (* -1 (/ a b)) (/ c d))) |
(* b (+ (* -1 (/ a b)) (/ c d))) |
(* b (+ (* -1 (/ a b)) (/ c d))) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ b (+ (pow c 2) (pow d 2))) |
(/ b (+ (pow c 2) (pow d 2))) |
(/ b (+ (pow c 2) (pow d 2))) |
(/ b (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b c) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(/ b c) |
(* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c))) |
(* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c))) |
(* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(/ b c) |
(* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c))) |
(* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c))) |
(* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c))) |
b |
(* b (+ 1 (* -1 (/ (* a d) (* b c))))) |
(* b (+ 1 (* -1 (/ (* a d) (* b c))))) |
(* b (+ 1 (* -1 (/ (* a d) (* b c))))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(/ (* b c) (pow d 2)) |
(* -1 (* b (+ (* -1 (/ c (pow d 2))) (/ a (* b d))))) |
(* -1 (* b (+ (* -1 (/ c (pow d 2))) (/ a (* b d))))) |
(* -1 (* b (+ (* -1 (/ c (pow d 2))) (/ a (* b d))))) |
(/ (* b c) d) |
(* -1 (* b (+ (* -1 (/ c d)) (/ a b)))) |
(* -1 (* b (+ (* -1 (/ c d)) (/ a b)))) |
(* -1 (* b (+ (* -1 (/ c d)) (/ a b)))) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(/ b (+ (pow c 2) (pow d 2))) |
(/ b (+ (pow c 2) (pow d 2))) |
(/ b (+ (pow c 2) (pow d 2))) |
(/ b (+ (pow c 2) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* b c) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(/ b c) |
(* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c)))) |
(* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c)))) |
(* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c)))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(/ b c) |
(* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c)))) |
(* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c)))) |
(* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c)))) |
b |
(* -1 (* b (- (/ (* a d) (* b c)) 1))) |
(* -1 (* b (- (/ (* a d) (* b c)) 1))) |
(* -1 (* b (- (/ (* a d) (* b c)) 1))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(/ (* b c) (pow d 2)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/ (* b c) d) |
(+ (* -1 a) (/ (* b c) d)) |
(+ (* -1 a) (/ (* b c) d)) |
(+ (* -1 a) (/ (* b c) d)) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* b c) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(* -1 (* a d)) |
(* -1 (* a d)) |
(* -1 (* a d)) |
(* -1 (* a d)) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
b |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ a d)) |
(* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d))) |
(* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d))) |
(* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d))) |
(* -1 a) |
(* a (- (/ (* b c) (* a d)) 1)) |
(* a (- (/ (* b c) (* a d)) 1)) |
(* a (- (/ (* b c) (* a d)) 1)) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a d)) |
(* a (- (/ (* b c) a) d)) |
(* a (- (/ (* b c) a) d)) |
(* a (- (/ (* b c) a) d)) |
(* -1 (* a d)) |
(* -1 (* a d)) |
(* -1 (* a d)) |
(* -1 (* a d)) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ (* a d) (pow c 2))) |
(* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c)))) |
(* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c)))) |
(* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ (* a d) (pow c 2))) |
(* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c)))) |
(* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c)))) |
(* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c)))) |
(* -1 (/ (* a d) c)) |
(* a (- (/ b a) (/ d c))) |
(* a (- (/ b a) (/ d c))) |
(* a (- (/ b a) (/ d c))) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ a d)) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (/ 1 d)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (/ 1 d)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (/ 1 d)))) |
(* -1 a) |
(* -1 (* a (+ 1 (* -1 (/ (* b c) (* a d)))))) |
(* -1 (* a (+ 1 (* -1 (/ (* b c) (* a d)))))) |
(* -1 (* a (+ 1 (* -1 (/ (* b c) (* a d)))))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a d)) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(* -1 (* a d)) |
(* -1 (* a d)) |
(* -1 (* a d)) |
(* -1 (* a d)) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2))))) |
(* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2))))) |
(* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2))))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2))))) |
(* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2))))) |
(* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2))))) |
(* -1 (/ (* a d) c)) |
(* -1 (* a (- (* -1 (/ b a)) (* -1 (/ d c))))) |
(* -1 (* a (- (* -1 (/ b a)) (* -1 (/ d c))))) |
(* -1 (* a (- (* -1 (/ b a)) (* -1 (/ d c))))) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(/ (* b c) (pow d 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow d 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow d 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow d 2)) |
(/ (* b c) d) |
(/ (+ (* -1 (* a d)) (* b c)) d) |
(/ (+ (* -1 (* a d)) (* b c)) d) |
(/ (+ (* -1 (* a d)) (* b c)) d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(/ b c) |
(+ (* -1 (/ (* b (pow d 2)) (pow c 3))) (/ b c)) |
(+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 5)) (/ b (pow c 3)))) (/ b c)) |
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 7))) (* -1 (/ b (pow c 5))))) (/ b (pow c 3)))) (/ b c)) |
(/ b (pow c 2)) |
(+ (* -1 (/ (* b (pow d 2)) (pow c 4))) (/ b (pow c 2))) |
(+ (* (pow d 2) (- (/ (* b (pow d 2)) (pow c 6)) (/ b (pow c 4)))) (/ b (pow c 2))) |
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* b (pow d 2)) (pow c 8))) (* -1 (/ b (pow c 6))))) (/ b (pow c 4)))) (/ b (pow c 2))) |
(pow c 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(* b c) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(* -1 (* a d)) |
(* -1 (* a d)) |
(* -1 (* a d)) |
(* -1 (* a d)) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
b |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(* -1 a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(/ (* b c) (pow d 2)) |
(/ (+ (* -1 (/ (* b (pow c 3)) (pow d 2))) (* b c)) (pow d 2)) |
(/ (- (+ (* b c) (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2))) (pow d 2)) |
(/ (- (+ (* -1 (/ (* b (pow c 7)) (pow d 6))) (* b c)) (+ (* -1 (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2)))) (pow d 2)) |
(/ b (pow d 2)) |
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) (pow d 2)) |
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) (pow d 2)) |
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) (pow d 2)) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(* -1 (* a d)) |
(* d (- (/ (* b c) d) a)) |
(* d (- (/ (* b c) d) a)) |
(* d (- (/ (* b c) d) a)) |
(* -1 (* a d)) |
(* -1 (* a d)) |
(* -1 (* a d)) |
(* -1 (* a d)) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(* -1 (/ (* a d) (pow c 2))) |
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(* -1 (/ (* a d) (pow c 2))) |
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(* -1 (/ (* a d) c)) |
(* d (- (/ b d) (/ a c))) |
(* d (- (/ b d) (/ a c))) |
(* d (- (/ b d) (/ a c))) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(/ (* b c) (pow d 2)) |
(/ (+ (* -1 (/ (* b (pow c 3)) (pow d 2))) (* b c)) (pow d 2)) |
(/ (- (+ (* b c) (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2))) (pow d 2)) |
(/ (- (+ (* -1 (/ (* b (pow c 7)) (pow d 6))) (* b c)) (+ (* -1 (/ (* b (pow c 5)) (pow d 4))) (/ (* b (pow c 3)) (pow d 2)))) (pow d 2)) |
(/ b (pow d 2)) |
(/ (+ b (* -1 (/ (* b (pow c 2)) (pow d 2)))) (pow d 2)) |
(/ (- (+ b (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2))) (pow d 2)) |
(/ (- (+ b (* -1 (/ (* b (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* b (pow c 4)) (pow d 4))) (/ (* b (pow c 2)) (pow d 2)))) (pow d 2)) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(* -1 (* a d)) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(* -1 (* a d)) |
(* -1 (* a d)) |
(* -1 (* a d)) |
(* -1 (* a d)) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(* -1 (/ (* a d) c)) |
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) |
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) |
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
| Outputs |
|---|
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 3 binary64))) a (/.f64 b (*.f64 d d))) c (/.f64 (neg.f64 a) d)) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(fma.f64 (*.f64 c c) (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) (neg.f64 b) (/.f64 a (pow.f64 d #s(literal 3 binary64)))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) |
(* -1 a) |
(neg.f64 a) |
(- (/ (* b c) d) a) |
(-.f64 (/.f64 (*.f64 c b) d) a) |
(- (/ (* b c) d) a) |
(-.f64 (/.f64 (*.f64 c b) d) a) |
(- (/ (* b c) d) a) |
(-.f64 (/.f64 (*.f64 c b) d) a) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 3 binary64))) a (/.f64 b (*.f64 d d))) c (/.f64 (neg.f64 a) d)) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(fma.f64 (*.f64 c c) (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) (neg.f64 b) (/.f64 a (pow.f64 d #s(literal 3 binary64)))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) |
(/ (* b c) (pow d 2)) |
(*.f64 (/.f64 c (*.f64 d d)) b) |
(* c (+ (* -1 (/ (* b (pow c 2)) (pow d 4))) (/ b (pow d 2)))) |
(fma.f64 (/.f64 c d) (/.f64 b d) (*.f64 (/.f64 (neg.f64 b) d) (pow.f64 (/.f64 c d) #s(literal 3 binary64)))) |
(* c (+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 6)) (/ b (pow d 4)))) (/ b (pow d 2)))) |
(fma.f64 (/.f64 c d) (/.f64 b d) (*.f64 (pow.f64 c #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 c c) (/.f64 b (pow.f64 d #s(literal 6 binary64)))) (/.f64 b (pow.f64 d #s(literal 4 binary64)))))) |
(* 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)))) |
(fma.f64 (/.f64 c d) (/.f64 b d) (*.f64 (pow.f64 c #s(literal 3 binary64)) (-.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 c) c) (/.f64 b (pow.f64 d #s(literal 8 binary64))) (/.f64 b (pow.f64 d #s(literal 6 binary64)))) (*.f64 c c)) (/.f64 b (pow.f64 d #s(literal 4 binary64)))))) |
(/ b (pow d 2)) |
(/.f64 b (*.f64 d d)) |
(+ (* -1 (/ (* b (pow c 2)) (pow d 4))) (/ b (pow d 2))) |
(fma.f64 (*.f64 (neg.f64 c) c) (/.f64 b (pow.f64 d #s(literal 4 binary64))) (/.f64 b (*.f64 d d))) |
(+ (* (pow c 2) (- (/ (* b (pow c 2)) (pow d 6)) (/ b (pow d 4)))) (/ b (pow d 2))) |
(fma.f64 (-.f64 (*.f64 (*.f64 c c) (/.f64 b (pow.f64 d #s(literal 6 binary64)))) (/.f64 b (pow.f64 d #s(literal 4 binary64)))) (*.f64 c c) (/.f64 b (*.f64 d d))) |
(+ (* (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))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 c) c) (/.f64 b (pow.f64 d #s(literal 8 binary64))) (/.f64 b (pow.f64 d #s(literal 6 binary64)))) (*.f64 c c)) (/.f64 b (pow.f64 d #s(literal 4 binary64)))) (*.f64 c c) (/.f64 b (*.f64 d d))) |
(pow d 2) |
(*.f64 d d) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 3 binary64))) a (/.f64 b (*.f64 d d))) c (/.f64 (neg.f64 a) d)) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(fma.f64 (*.f64 c c) (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) (neg.f64 b) (/.f64 a (pow.f64 d #s(literal 3 binary64)))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) |
(* -1 (* a d)) |
(*.f64 (neg.f64 a) d) |
(- (* b c) (* a d)) |
(fma.f64 (neg.f64 a) d (*.f64 c b)) |
(- (* b c) (* a d)) |
(fma.f64 (neg.f64 a) d (*.f64 c b)) |
(- (* b c) (* a d)) |
(fma.f64 (neg.f64 a) d (*.f64 c b)) |
(* -1 (/ (* a d) (pow c 2))) |
(*.f64 (/.f64 (/.f64 (neg.f64 a) c) c) d) |
(* -1 (/ (* a d) (pow c 2))) |
(*.f64 (/.f64 (/.f64 (neg.f64 a) c) c) d) |
(* -1 (/ (* a d) (pow c 2))) |
(*.f64 (/.f64 (/.f64 (neg.f64 a) c) c) d) |
(* -1 (/ (* a d) (pow c 2))) |
(*.f64 (/.f64 (/.f64 (neg.f64 a) c) c) d) |
(/ -1 (pow c 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 c c)) |
(/ -1 (pow c 2)) |
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(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 c b (/.f64 (*.f64 (*.f64 c c) a) d)) d) a) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 c b (/.f64 (fma.f64 (*.f64 c c) a (/.f64 (*.f64 (neg.f64 b) (pow.f64 c #s(literal 3 binary64))) d)) d)) d) a) d) |
(* -1 (/ (* a d) (pow c 2))) |
(*.f64 (/.f64 (/.f64 (neg.f64 a) c) c) d) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(*.f64 (-.f64 (/.f64 (/.f64 b d) c) (/.f64 (/.f64 a c) c)) d) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(*.f64 (-.f64 (/.f64 (/.f64 b d) c) (/.f64 (/.f64 a c) c)) d) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(*.f64 (-.f64 (/.f64 (/.f64 b d) c) (/.f64 (/.f64 a c) c)) d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 c b (/.f64 (*.f64 (*.f64 c c) a) d)) d) a) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 c b (/.f64 (fma.f64 (*.f64 c c) a (/.f64 (*.f64 (neg.f64 b) (pow.f64 c #s(literal 3 binary64))) d)) d)) d) a) d) |
(* -1 (/ (* a d) (pow c 2))) |
(*.f64 (/.f64 (/.f64 (neg.f64 a) c) c) d) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(*.f64 (-.f64 (/.f64 (/.f64 b d) c) (/.f64 (/.f64 a c) c)) d) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(*.f64 (-.f64 (/.f64 (/.f64 b d) c) (/.f64 (/.f64 a c) c)) d) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(*.f64 (-.f64 (/.f64 (/.f64 b d) c) (/.f64 (/.f64 a c) c)) d) |
(* -1 (/ (* a d) c)) |
(/.f64 (*.f64 (neg.f64 a) d) c) |
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) |
(*.f64 (-.f64 (/.f64 b d) (/.f64 a c)) d) |
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) |
(*.f64 (-.f64 (/.f64 b d) (/.f64 a c)) d) |
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) |
(*.f64 (-.f64 (/.f64 b d) (/.f64 a c)) d) |
(* -1 (/ (* a d) c)) |
(/.f64 (*.f64 (neg.f64 a) d) c) |
(* -1 (/ (* a d) c)) |
(/.f64 (*.f64 (neg.f64 a) d) c) |
(* -1 (/ (* a d) c)) |
(/.f64 (*.f64 (neg.f64 a) d) c) |
(* -1 (/ (* a d) c)) |
(/.f64 (*.f64 (neg.f64 a) d) c) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 296 |
| 0 | 58 | 290 |
| 1 | 214 | 289 |
| 2 | 1448 | 288 |
| 0 | 8243 | 279 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) |
(/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) |
(fma.f64 (/.f64 b d) c (neg.f64 a)) |
(/.f64 b d) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) |
(*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c) |
(/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (+ (* c c) (* d d)) (*.f64 c c)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) |
(*.f64 (neg.f64 a) d) |
(neg.f64 a) |
(*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))) |
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))))) |
#s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) |
(/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c) |
#s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) |
(*.f64 (neg.f64 a) (/.f64 d c)) |
| Outputs |
|---|
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Compiled 20 967 to 2 579 computations (87.7% saved)
24 alts after pruning (14 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 387 | 6 | 1 393 |
| Fresh | 2 | 8 | 10 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 6 | 6 |
| Total | 1 390 | 24 | 1 414 |
| Status | Accuracy | Program |
|---|---|---|
| 37.1% | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| ✓ | 34.0% | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
| 42.3% | (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (fma.f64 c c (*.f64 d d)))) | |
| 31.9% | (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| ✓ | 18.8% | (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
| 20.5% | (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| ✓ | 27.2% | (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
| ✓ | 59.7% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) |
| 59.7% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) | |
| 55.8% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)) (/.f64 (*.f64 c b) d)) d)) | |
| 53.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 a (/.f64 (fma.f64 (*.f64 c (/.f64 c d)) a (*.f64 c b)) d)) (neg.f64 d))) | |
| ✓ | 49.5% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
| 21.8% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- (/ (* c b) d) a) (/.f64 (*.f64 c b) d)) d)) | |
| ✓ | 21.2% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) |
| ✓ | 38.8% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
| 49.1% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) a))) | |
| 38.6% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) | |
| ✓ | 40.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) |
| ✓ | 28.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) |
| 30.2% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) | |
| ✓ | 21.4% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) |
| 18.5% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal -1 binary64) (*.f64 c c))))) | |
| 20.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (neg.f64 a) (/.f64 (/.f64 d c) c)))) | |
| 18.7% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 a (/.f64 d (*.f64 (neg.f64 c) c))))) |
Compiled 791 to 416 computations (47.4% saved)
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (* (/ b (+ (* c c) (* d d))) c) (*.f64 (/.f64 c (*.f64 d d)) b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 a (/.f64 d (*.f64 (neg.f64 c) c))))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal -1 binary64) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- (/ (* c b) d) a) (/.f64 (*.f64 c b) d)) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 b c) (fma.f64 d d (*.f64 c c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (neg.f64 a) (/.f64 (/.f64 d c) c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (fma.f64 c c (*.f64 d d)))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) |
#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 (/.f64 b d) c (neg.f64 a)) d)) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c (-.f64 b (/.f64 (*.f64 a d) c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (-.f64 (/.f64 (/.f64 b c) d) (/.f64 a (*.f64 c c))) d))) |
(fma.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c))) (*.f64 #s(approx (/ c (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) c)) b)) |
(fma.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 c #s(approx (+ (* d d) (* c c)) (*.f64 d d))) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 a (/.f64 (fma.f64 (*.f64 c (/.f64 c d)) a (*.f64 c b)) d)) (neg.f64 d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ b (+ (* c c) (* d d))) (/.f64 (/.f64 (fma.f64 (*.f64 c (/.f64 c (*.f64 d d))) (neg.f64 b) b) d) d)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (fma.f64 (*.f64 c (/.f64 c (*.f64 d d))) a (neg.f64 a))) d)) |
(fma.f64 (neg.f64 d) (/.f64 a (fma.f64 d d (*.f64 c c))) (*.f64 (/.f64 c (fma.f64 d d (*.f64 c c))) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 a (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)) (/.f64 (*.f64 c b) d)) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (pow.f64 (/.f64 d c) #s(literal 3 binary64)) a (-.f64 b (/.f64 (fma.f64 a d (/.f64 (*.f64 b (*.f64 d d)) c)) c))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 a (pow.f64 c #s(literal 4 binary64))) d) (/.f64 b (pow.f64 c #s(literal 3 binary64)))) d (/.f64 (/.f64 (neg.f64 a) c) c)) d (/.f64 b c))) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) |
5 calls:
| 32.0ms | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 22.0ms | d |
| 21.0ms | b |
| 13.0ms | a |
| 13.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.1% | 3 | a |
| 71.6% | 5 | b |
| 83.9% | 4 | c |
| 87.9% | 4 | d |
| 75.0% | 2 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
Compiled 19 to 27 computations (-42.1% saved)
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (* (/ b (+ (* c c) (* d d))) c) (*.f64 (/.f64 c (*.f64 d d)) b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 a (/.f64 d (*.f64 (neg.f64 c) c))))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal -1 binary64) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- (/ (* c b) d) a) (/.f64 (*.f64 c b) d)) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 b c) (fma.f64 d d (*.f64 c c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (neg.f64 a) (/.f64 (/.f64 d c) c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (fma.f64 c c (*.f64 d d)))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) |
#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 (/.f64 b d) c (neg.f64 a)) d)) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) |
1 calls:
| 9.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.1% | 3 | d |
Compiled 1 to 4 computations (-300% saved)
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (* (/ b (+ (* c c) (* d d))) c) (*.f64 (/.f64 c (*.f64 d d)) b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 a (/.f64 d (*.f64 (neg.f64 c) c))))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal -1 binary64) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- (/ (* c b) d) a) (/.f64 (*.f64 c b) d)) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 b c) (fma.f64 d d (*.f64 c c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (neg.f64 a) (/.f64 (/.f64 d c) c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (fma.f64 c c (*.f64 d d)))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) |
#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 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) |
1 calls:
| 9.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.1% | 3 | d |
Compiled 1 to 4 computations (-300% saved)
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (* (/ b (+ (* c c) (* d d))) c) (*.f64 (/.f64 c (*.f64 d d)) b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 a (/.f64 d (*.f64 (neg.f64 c) c))))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal -1 binary64) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- (/ (* c b) d) a) (/.f64 (*.f64 c b) d)) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 b c) (fma.f64 d d (*.f64 c c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (neg.f64 a) (/.f64 (/.f64 d c) c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (fma.f64 c c (*.f64 d d)))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) |
2 calls:
| 42.0ms | d |
| 9.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.8% | 3 | c |
| 82.2% | 3 | d |
Compiled 2 to 8 computations (-300% saved)
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (* (/ b (+ (* c c) (* d d))) c) (*.f64 (/.f64 c (*.f64 d d)) b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 a (/.f64 d (*.f64 (neg.f64 c) c))))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal -1 binary64) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- (/ (* c b) d) a) (/.f64 (*.f64 c b) d)) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 b c) (fma.f64 d d (*.f64 c c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (neg.f64 a) (/.f64 (/.f64 d c) c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (fma.f64 c c (*.f64 d d)))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
2 calls:
| 8.0ms | d |
| 8.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.7% | 3 | c |
| 80.3% | 4 | d |
Compiled 2 to 8 computations (-300% saved)
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (* (/ b (+ (* c c) (* d d))) c) (*.f64 (/.f64 c (*.f64 d d)) b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 a (/.f64 d (*.f64 (neg.f64 c) c))))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal -1 binary64) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- (/ (* c b) d) a) (/.f64 (*.f64 c b) d)) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 b c) (fma.f64 d d (*.f64 c c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (neg.f64 a) (/.f64 (/.f64 d c) c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (neg.f64 a) (/.f64 d c))) c)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (fma.f64 c c (*.f64 d d)))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
3 calls:
| 49.0ms | c |
| 8.0ms | d |
| 7.0ms | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.4% | 4 | c |
| 58.5% | 4 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 72.9% | 4 | d |
Compiled 17 to 19 computations (-11.8% saved)
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (* (/ b (+ (* c c) (* d d))) c) (*.f64 (/.f64 c (*.f64 d d)) b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 b (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 a (/.f64 d (*.f64 (neg.f64 c) c))))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal -1 binary64) (*.f64 c c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- (/ (* c b) d) a) (/.f64 (*.f64 c b) d)) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (*.f64 b c) (fma.f64 d d (*.f64 c c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (*.f64 d a) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (neg.f64 a) (/.f64 (/.f64 d c) c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
1 calls:
| 6.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.7% | 3 | d |
Compiled 1 to 4 computations (-300% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
5 calls:
| 1.0ms | d |
| 1.0ms | b |
| 1.0ms | c |
| 1.0ms | a |
| 1.0ms | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 38.8% | 1 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 38.8% | 1 | a |
| 38.8% | 1 | b |
| 38.8% | 1 | c |
| 38.8% | 1 | d |
Compiled 19 to 27 computations (-42.1% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 7.545654784216946e+111 | 1.090913153398282e+116 |
| 25.0ms | 3.1824776724416996e-136 | 1.2610990892990337e-129 |
| 15.0ms | -3.3345096063051595e-71 | -9.73097499722134e-78 |
| 28.0ms | 416× | 0 | valid |
Compiled 623 to 572 computations (8.2% saved)
ival-mult: 11.0ms (62.6% of total)ival-div: 3.0ms (17.1% of total)ival-sub: 2.0ms (11.4% of total)ival-add: 2.0ms (11.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 5.032165052520358e-83 | 1.7922386526325935e-81 |
| 1.0ms | -3.3345096063051595e-71 | -9.73097499722134e-78 |
| 8.0ms | 112× | 0 | valid |
Compiled 338 to 338 computations (0% saved)
ival-mult: 3.0ms (63.8% of total)ival-sub: 1.0ms (21.3% of total)ival-div: 1.0ms (21.3% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 5.032165052520358e-83 | 1.7922386526325935e-81 |
| 1.0ms | -3.3345096063051595e-71 | -9.73097499722134e-78 |
Compiled 338 to 338 computations (0% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 5.032165052520358e-83 | 1.7922386526325935e-81 |
| 1.0ms | -3.3345096063051595e-71 | -9.73097499722134e-78 |
Compiled 338 to 338 computations (0% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 2.2060711832275385e+128 | 9.060340339344411e+129 |
| 1.0ms | 5.032165052520358e-83 | 1.7922386526325935e-81 |
| 1.0ms | -3.3345096063051595e-71 | -9.73097499722134e-78 |
| 8.0ms | 112× | 0 | valid |
Compiled 426 to 460 computations (-8% saved)
ival-mult: 3.0ms (64.6% of total)ival-div: 1.0ms (21.5% 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)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 7.545654784216946e+111 | 1.090913153398282e+116 |
| 12.0ms | 6.528786052755482e-171 | 3.0276764451634616e-169 |
| 22.0ms | -3.3345096063051595e-71 | -9.73097499722134e-78 |
| 34.0ms | 256× | 0 | valid |
Compiled 347 to 431 computations (-24.2% saved)
ival-mult: 23.0ms (85.1% of total)ival-div: 2.0ms (7.4% of total)ival-sub: 1.0ms (3.7% of total)ival-add: 1.0ms (3.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 5.032165052520358e-83 | 1.7922386526325935e-81 |
| 1.0ms | -3.3345096063051595e-71 | -9.73097499722134e-78 |
| 5.0ms | 64× | 0 | valid |
Compiled 162 to 258 computations (-59.3% saved)
ival-mult: 2.0ms (70.5% of total)ival-sub: 0.0ms (0% of total)ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 77 | 639 |
| 1 | 96 | 639 |
| 2 | 122 | 639 |
| 3 | 142 | 639 |
| 4 | 154 | 639 |
| 5 | 159 | 639 |
| 6 | 160 | 639 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 d #s(literal -466240534134175/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) (if (<=.f64 d #s(literal 8291364149639275/49947976805055875702105555676690660891977570282639538413746511354005947821116249921924897649015871538557230897942505966327167610868612564900642816 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) (if (<=.f64 d #s(literal 76000000000000001524273551586825683027586779153129007272535287689807810560048090699694045758446094027065611255808 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d))))) |
(if (<=.f64 d #s(literal -466240534134175/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) (if (<=.f64 d #s(literal 7475954625723185/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)))) |
(if (<=.f64 d #s(literal -466240534134175/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (if (<=.f64 d #s(literal 7475954625723185/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)))) |
(if (<=.f64 d #s(literal -466240534134175/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) (if (<=.f64 d #s(literal 7475954625723185/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)))) |
(if (<=.f64 d #s(literal -466240534134175/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 d #s(literal 7475954625723185/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) (if (<=.f64 d #s(literal 2500000000000000149457695615129037962937322563084522677184089874580502051437782734077640085266650350861420498061080885341471113216 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))))) |
(if (<=.f64 d #s(literal -839232961441515/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 d #s(literal 1835612903174747/67985663080546188632267290438715984298187919069060086169528849689651655662189087070612800289949348565617834174239552129964362155219546526644418557282123181048810402666930332036061200384 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 d #s(literal 900000000000000014003474516520158721841381257228955290032793522387750403048280132938486850923542702908585652781056 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))))) |
(if (<=.f64 d #s(literal -839232961441515/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 d #s(literal 2349585739513001/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
| Outputs |
|---|
(if (<=.f64 d #s(literal -466240534134175/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) (if (<=.f64 d #s(literal 8291364149639275/49947976805055875702105555676690660891977570282639538413746511354005947821116249921924897649015871538557230897942505966327167610868612564900642816 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) (if (<=.f64 d #s(literal 76000000000000001524273551586825683027586779153129007272535287689807810560048090699694045758446094027065611255808 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d))))) |
(if (<=.f64 d #s(literal -466240534134175/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) (if (<=.f64 d #s(literal 8291364149639275/49947976805055875702105555676690660891977570282639538413746511354005947821116249921924897649015871538557230897942505966327167610868612564900642816 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) (if (<=.f64 d #s(literal 76000000000000001524273551586825683027586779153129007272535287689807810560048090699694045758446094027065611255808 binary64)) (/.f64 (-.f64 (*.f64 c b) (*.f64 a d)) (+.f64 (*.f64 d d) (*.f64 c c))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d))))) |
(if (<=.f64 d #s(literal -466240534134175/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) (if (<=.f64 d #s(literal 7475954625723185/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)))) |
(if (<=.f64 d #s(literal -466240534134175/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)) (if (<=.f64 d #s(literal 7475954625723185/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 b (/.f64 c d) (neg.f64 a)) d)))) |
(if (<=.f64 d #s(literal -466240534134175/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) (if (<=.f64 d #s(literal 7475954625723185/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)))) |
(if (<=.f64 d #s(literal -466240534134175/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) (if (<=.f64 d #s(literal 7475954625723185/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)))) |
(if (<=.f64 d #s(literal -466240534134175/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 d #s(literal 7475954625723185/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) (if (<=.f64 d #s(literal 2500000000000000149457695615129037962937322563084522677184089874580502051437782734077640085266650350861420498061080885341471113216 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))))) |
(if (<=.f64 d #s(literal -466240534134175/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 d #s(literal 7475954625723185/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) (if (<=.f64 d #s(literal 2500000000000000149457695615129037962937322563084522677184089874580502051437782734077640085266650350861420498061080885341471113216 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))))) |
(if (<=.f64 d #s(literal -839232961441515/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 d #s(literal 1835612903174747/67985663080546188632267290438715984298187919069060086169528849689651655662189087070612800289949348565617834174239552129964362155219546526644418557282123181048810402666930332036061200384 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 d #s(literal 900000000000000014003474516520158721841381257228955290032793522387750403048280132938486850923542702908585652781056 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))))) |
(if (<=.f64 d #s(literal -839232961441515/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 d #s(literal 1835612903174747/67985663080546188632267290438715984298187919069060086169528849689651655662189087070612800289949348565617834174239552129964362155219546526644418557282123181048810402666930332036061200384 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 d #s(literal 900000000000000014003474516520158721841381257228955290032793522387750403048280132938486850923542702908585652781056 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) (neg.f64 a))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))))) |
(if (<=.f64 d #s(literal -839232961441515/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 d #s(literal 2349585739513001/2135987035920910082395021706169552114602704522356652769947041607822219725780640550022962086936576 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 191 | 1511 |
| 1 | 623 | 1461 |
| 2 | 1861 | 1441 |
| 3 | 5489 | 1432 |
| 0 | 8501 | 1356 |
| 0 | 38 | 243 |
| 0 | 54 | 239 |
| 1 | 208 | 239 |
| 2 | 1531 | 239 |
| 0 | 8631 | 233 |
| 0 | 536 | 9768 |
| 1 | 1639 | 9414 |
| 2 | 4741 | 9168 |
| 0 | 8547 | 8734 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 486 to 279 computations (42.6% saved)
Compiled 662 to 204 computations (69.2% saved)
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