
Time bar (total: 8.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 4 |
| 75% | 74.9% | 25% | 0.2% | 0% | 0% | 0% | 5 |
| 75% | 74.9% | 25% | 0.2% | 0% | 0% | 0% | 6 |
| 75% | 74.9% | 25% | 0.2% | 0% | 0% | 0% | 7 |
| 87.5% | 87.3% | 12.5% | 0.2% | 0% | 0% | 0% | 8 |
| 93.8% | 93.6% | 6.2% | 0.2% | 0% | 0% | 0% | 9 |
| 93.8% | 93.6% | 6.2% | 0.2% | 0% | 0% | 0% | 10 |
| 93.8% | 93.6% | 6.2% | 0.2% | 0% | 0% | 0% | 11 |
| 96.9% | 96.7% | 3.1% | 0.2% | 0% | 0% | 0% | 12 |
Compiled 17 to 13 computations (23.5% saved)
| 548.0ms | 8 256× | 0 | valid |
ival-mult: 216.0ms (63.8% of total)ival-div: 46.0ms (13.6% of total)ival-sub: 35.0ms (10.3% of total)ival-add: 33.0ms (9.7% of total)ival-true: 5.0ms (1.5% of total)ival-assert: 3.0ms (0.9% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 101 | 1 | (-2.4140332196222713e-292 -6.041315198562034e+246 2.0576194968288578e-64 -5.343041864300763e+252) | 0 | - | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 2 | 0 | - | 0 | - | (-.f64 (*.f64 b c) (*.f64 a d)) |
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 c c) (*.f64 d d)) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | d |
| 0 | 0 | - | 0 | - | (*.f64 d d) |
| 0 | 0 | - | 0 | - | (*.f64 c c) |
| 0 | 0 | - | 0 | - | (*.f64 b c) |
| 0 | 0 | - | 0 | - | c |
| 0 | 0 | - | 0 | - | (*.f64 a d) |
| 0 | 0 | - | 0 | - | b |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) | o/o | 47 | 0 |
| ↳ | (*.f64 b c) | overflow | 33 | |
| ↳ | (-.f64 (*.f64 b c) (*.f64 a d)) | overflow | 62 | |
| ↳ | (*.f64 a d) | overflow | 32 | |
| ↳ | (+.f64 (*.f64 c c) (*.f64 d d)) | overflow | 105 | |
| ↳ | (*.f64 c c) | overflow | 56 | |
| ↳ | (*.f64 d d) | overflow | 61 | |
/.f64 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) | n/o | 31 | 0 |
| ↳ | (+.f64 (*.f64 c c) (*.f64 d d)) | overflow | 105 | |
| ↳ | (*.f64 c c) | overflow | 56 | |
| ↳ | (*.f64 d d) | overflow | 61 | |
/.f64 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) | o/n | 15 | 0 |
| ↳ | (*.f64 b c) | overflow | 33 | |
| ↳ | (-.f64 (*.f64 b c) (*.f64 a d)) | overflow | 62 | |
| ↳ | (*.f64 a d) | overflow | 32 | |
/.f64 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) | n/u | 4 | 0 |
| ↳ | (+.f64 (*.f64 c c) (*.f64 d d)) | underflow | 16 | |
| ↳ | (*.f64 c c) | underflow | 65 | |
| ↳ | (*.f64 d d) | underflow | 51 | |
/.f64 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) | u/n | 3 | 0 |
| ↳ | (*.f64 b c) | underflow | 27 | |
| ↳ | (-.f64 (*.f64 b c) (*.f64 a d)) | underflow | 5 | |
| ↳ | (*.f64 a d) | underflow | 23 | |
-.f64 | (-.f64 (*.f64 b c) (*.f64 a d)) | nan-rescue | 2 | 0 |
| ↳ | (*.f64 b c) | overflow | 33 | |
| ↳ | (*.f64 a d) | overflow | 32 | |
/.f64 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) | u/u | 2 | 0 |
| ↳ | (*.f64 b c) | underflow | 27 | |
| ↳ | (-.f64 (*.f64 b c) (*.f64 a d)) | underflow | 5 | |
| ↳ | (*.f64 a d) | underflow | 23 | |
| ↳ | (+.f64 (*.f64 c c) (*.f64 d d)) | underflow | 16 | |
| ↳ | (*.f64 c c) | underflow | 65 | |
| ↳ | (*.f64 d d) | underflow | 51 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 101 | 0 |
| - | 1 | 154 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 101 | 0 | 0 |
| - | 1 | 0 | 154 |
| number | freq |
|---|---|
| 0 | 154 |
| 1 | 100 |
| 2 | 2 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 38.0ms | 512× | 0 | valid |
Compiled 109 to 37 computations (66.1% saved)
ival-mult: 14.0ms (66.4% of total)ival-div: 3.0ms (14.2% of total)ival-sub: 2.0ms (9.5% of total)ival-add: 2.0ms (9.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 1 350× | unsub-neg |
| 982× | div-sub |
| 876× | distribute-rgt-in |
| 874× | distribute-lft-in |
| 752× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 214 |
| 1 | 202 | 214 |
| 2 | 402 | 214 |
| 3 | 976 | 214 |
| 4 | 2796 | 214 |
| 5 | 4580 | 214 |
| 6 | 5390 | 214 |
| 7 | 5495 | 214 |
| 8 | 5515 | 214 |
| 9 | 5531 | 214 |
| 10 | 5531 | 214 |
| 11 | 5995 | 214 |
| 12 | 6203 | 214 |
| 13 | 6203 | 214 |
| 14 | 6203 | 214 |
| 15 | 6299 | 214 |
| 16 | 6299 | 214 |
| 17 | 6371 | 214 |
| 18 | 6403 | 214 |
| 19 | 6403 | 214 |
| 20 | 6403 | 214 |
| 0 | 11 | 15 |
| 0 | 18 | 15 |
| 1 | 29 | 15 |
| 2 | 51 | 15 |
| 3 | 81 | 15 |
| 4 | 140 | 15 |
| 5 | 239 | 15 |
| 6 | 382 | 15 |
| 7 | 630 | 15 |
| 8 | 1092 | 15 |
| 9 | 1766 | 15 |
| 10 | 2007 | 15 |
| 11 | 2047 | 15 |
| 12 | 2075 | 15 |
| 13 | 2075 | 15 |
| 0 | 2075 | 11 |
| 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)) (hypot.f64 d c)) |
Compiled 15 to 11 computations (26.7% saved)
Compiled 0 to 4 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 62.2% | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
Compiled 15 to 11 computations (26.7% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 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)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 752× | lower-fma.f64 |
| 752× | lower-fma.f32 |
| 636× | times-frac |
| 512× | lower-*.f32 |
| 504× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 45 |
| 0 | 18 | 45 |
| 1 | 29 | 45 |
| 2 | 51 | 45 |
| 3 | 81 | 45 |
| 4 | 140 | 45 |
| 5 | 239 | 45 |
| 6 | 382 | 45 |
| 7 | 630 | 45 |
| 8 | 1092 | 45 |
| 9 | 1766 | 45 |
| 10 | 2007 | 45 |
| 11 | 2047 | 45 |
| 12 | 2075 | 45 |
| 13 | 2075 | 45 |
| 0 | 2075 | 37 |
| 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)) (hypot.f64 d 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)) |
(hypot.f64 d c) |
(*.f64 c c) |
(*.f64 d d) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 a d) | |
| accuracy | 0.0078125 | (+.f64 (*.f64 c c) (*.f64 d d)) | |
| accuracy | 0.5156208716604116 | (-.f64 (*.f64 b c) (*.f64 a d)) | |
| accuracy | 23.95416351192377 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 18.0ms | 256× | 0 | valid |
Compiled 47 to 13 computations (72.3% saved)
ival-mult: 6.0ms (62.2% of total)ival-sub: 1.0ms (10.4% of total)ival-div: 1.0ms (10.4% of total)ival-add: 1.0ms (10.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#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>) () ()) |
#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation:binary64>) () ()) |
| Outputs |
|---|
#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 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 (/ 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>) () ())) ()) |
#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>) () ())) ()) |
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#s(alt (pow c 2) (taylor 0 d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation:binary64>) () ())) ()) |
#s(alt (* -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>) () ())) ()) |
#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>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | d | @ | inf | ((/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (* a d) (+ (* c c) (* d d))) |
| 1.0ms | b | @ | inf | ((/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (* a d) (+ (* c c) (* d d))) |
| 1.0ms | c | @ | 0 | ((/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (* a d) (+ (* c c) (* d d))) |
| 1.0ms | c | @ | inf | ((/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (* a d) (+ (* c c) (* d d))) |
| 1.0ms | a | @ | -inf | ((/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (* a d) (+ (* c c) (* d d))) |
| 1× | egg-herbie |
| 7 930× | lower-fma.f64 |
| 7 930× | lower-fma.f32 |
| 3 586× | lower-*.f64 |
| 3 586× | lower-*.f32 |
| 2 316× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 191 | 1511 |
| 1 | 623 | 1461 |
| 2 | 1863 | 1441 |
| 3 | 5481 | 1432 |
| 0 | 8488 | 1176 |
| 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)) |
(- (* 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)) |
(/ 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) |
(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)) |
(- (* 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) |
(/ 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 c 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(* -1 (* a d)) |
(* 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) |
(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))))) |
(/.f64 (-.f64 (/.f64 (fma.f64 c b (/.f64 (*.f64 (*.f64 c c) a) d)) d) a) d) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(fma.f64 (*.f64 c c) (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)) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(pow d 2) |
(*.f64 d d) |
(+ (pow c 2) (pow d 2)) |
(hypot.f64 c d) |
(+ (pow c 2) (pow d 2)) |
(hypot.f64 c d) |
(+ (pow c 2) (pow d 2)) |
(hypot.f64 c d) |
(/ b c) |
(/.f64 b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/.f64 (-.f64 b (/.f64 (fma.f64 d a (/.f64 (*.f64 (*.f64 d d) b) c)) c)) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(/.f64 (fma.f64 (pow.f64 (/.f64 d c) #s(literal 3 binary64)) a (-.f64 b (/.f64 (fma.f64 d a (/.f64 (*.f64 (*.f64 d d) b) c)) c))) c) |
(* b c) |
(*.f64 c b) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(fma.f64 (neg.f64 a) d (*.f64 c b)) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(fma.f64 (neg.f64 a) d (*.f64 c b)) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(fma.f64 (neg.f64 a) d (*.f64 c b)) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(pow c 2) |
(*.f64 c c) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(hypot.f64 c d) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(hypot.f64 c d) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(hypot.f64 c d) |
(/ b c) |
(/.f64 b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(/.f64 (-.f64 b (/.f64 (fma.f64 d a (/.f64 (*.f64 (*.f64 d d) b) c)) c)) c) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) |
(/.f64 (fma.f64 (pow.f64 (/.f64 d c) #s(literal 3 binary64)) a (-.f64 b (/.f64 (fma.f64 d a (/.f64 (*.f64 (*.f64 d d) b) c)) c))) c) |
(* b c) |
(*.f64 c b) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(fma.f64 (neg.f64 a) d (*.f64 c b)) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(fma.f64 (neg.f64 a) d (*.f64 c b)) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(fma.f64 (neg.f64 a) d (*.f64 c b)) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(pow c 2) |
(*.f64 c c) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(hypot.f64 c d) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(hypot.f64 c d) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(hypot.f64 c d) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(*.f64 (neg.f64 a) (/.f64 d (hypot.f64 c d))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(fma.f64 (/.f64 b (hypot.f64 c d)) c (*.f64 (neg.f64 a) (/.f64 d (hypot.f64 c d)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(fma.f64 (/.f64 b (hypot.f64 c d)) c (*.f64 (neg.f64 a) (/.f64 d (hypot.f64 c d)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(fma.f64 (/.f64 b (hypot.f64 c d)) c (*.f64 (neg.f64 a) (/.f64 d (hypot.f64 c 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)) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(*.f64 (/.f64 b (hypot.f64 c d)) c) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(fma.f64 (/.f64 b (hypot.f64 c d)) c (*.f64 (neg.f64 a) (/.f64 d (hypot.f64 c d)))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(fma.f64 (/.f64 b (hypot.f64 c d)) c (*.f64 (neg.f64 a) (/.f64 d (hypot.f64 c d)))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(fma.f64 (/.f64 b (hypot.f64 c d)) c (*.f64 (neg.f64 a) (/.f64 d (hypot.f64 c d)))) |
(* b c) |
(*.f64 c b) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(fma.f64 (neg.f64 a) d (*.f64 c b)) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(fma.f64 (neg.f64 a) d (*.f64 c b)) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(fma.f64 (neg.f64 a) d (*.f64 c b)) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(*.f64 (/.f64 b (hypot.f64 c 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 (hypot.f64 c d)) c (*.f64 (neg.f64 a) (/.f64 d (hypot.f64 c d)))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(fma.f64 (/.f64 b (hypot.f64 c d)) c (*.f64 (neg.f64 a) (/.f64 d (hypot.f64 c d)))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(fma.f64 (/.f64 b (hypot.f64 c d)) c (*.f64 (neg.f64 a) (/.f64 d (hypot.f64 c d)))) |
(* b c) |
(*.f64 c b) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(fma.f64 (neg.f64 a) d (*.f64 c b)) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(fma.f64 (neg.f64 a) d (*.f64 c b)) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(fma.f64 (neg.f64 a) d (*.f64 c b)) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(*.f64 (/.f64 b (hypot.f64 c d)) c) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(fma.f64 (/.f64 b (hypot.f64 c d)) c (*.f64 (neg.f64 a) (/.f64 d (hypot.f64 c d)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(fma.f64 (/.f64 b (hypot.f64 c d)) c (*.f64 (neg.f64 a) (/.f64 d (hypot.f64 c d)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(fma.f64 (/.f64 b (hypot.f64 c d)) c (*.f64 (neg.f64 a) (/.f64 d (hypot.f64 c d)))) |
(* b c) |
(*.f64 c b) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 (neg.f64 a) d (*.f64 c b)) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 (neg.f64 a) d (*.f64 c b)) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 (neg.f64 a) d (*.f64 c b)) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(*.f64 (neg.f64 a) (/.f64 d (hypot.f64 c 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 (hypot.f64 c d)) a) c (/.f64 (neg.f64 d) (hypot.f64 c 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 (hypot.f64 c d)) a) c (/.f64 (neg.f64 d) (hypot.f64 c 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 (hypot.f64 c d)) a) c (/.f64 (neg.f64 d) (hypot.f64 c d))) a) |
(* -1 (* a d)) |
(*.f64 (neg.f64 a) d) |
(* a (- (/ (* b c) a) d)) |
(*.f64 (-.f64 (/.f64 (*.f64 c b) a) d) a) |
(* a (- (/ (* b c) a) d)) |
(*.f64 (-.f64 (/.f64 (*.f64 c b) a) d) a) |
(* a (- (/ (* b c) a) d)) |
(*.f64 (-.f64 (/.f64 (*.f64 c b) a) d) a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(*.f64 (neg.f64 a) (/.f64 d (hypot.f64 c 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 (hypot.f64 c d)) a) c (/.f64 (neg.f64 d) (hypot.f64 c 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 (hypot.f64 c d)) a) c (/.f64 (neg.f64 d) (hypot.f64 c 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 (hypot.f64 c d)) a) c (/.f64 (neg.f64 d) (hypot.f64 c d))) a) |
(* -1 (* a d)) |
(*.f64 (neg.f64 a) d) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(*.f64 (-.f64 (/.f64 (*.f64 c b) a) d) a) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(*.f64 (-.f64 (/.f64 (*.f64 c b) a) d) a) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(*.f64 (-.f64 (/.f64 (*.f64 c b) a) d) a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(/ b c) |
(/.f64 b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(/.f64 (-.f64 b (/.f64 (fma.f64 d a (/.f64 (*.f64 (*.f64 d d) b) c)) c)) c) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(fma.f64 (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 c b) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 (neg.f64 a) d (*.f64 c b)) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 (neg.f64 a) d (*.f64 c b)) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 (neg.f64 a) d (*.f64 c b)) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(pow c 2) |
(*.f64 c c) |
(+ (pow c 2) (pow d 2)) |
(hypot.f64 c d) |
(+ (pow c 2) (pow d 2)) |
(hypot.f64 c d) |
(+ (pow c 2) (pow d 2)) |
(hypot.f64 c d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/.f64 (-.f64 (/.f64 (fma.f64 c b (/.f64 (*.f64 (*.f64 c c) a) d)) d) a) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(/.f64 (fma.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #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 c b) d) a) d) |
(* d (- (/ (* b c) d) a)) |
(*.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) |
(* d (- (/ (* b c) d) 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) |
(pow d 2) |
(*.f64 d d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(hypot.f64 c d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(hypot.f64 c d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(hypot.f64 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 (fma.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #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 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) |
(pow d 2) |
(*.f64 d d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(hypot.f64 c d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(hypot.f64 c d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(hypot.f64 c d) |
| 5 586× | lower-fma.f64 |
| 5 586× | lower-fma.f32 |
| 5 346× | lower-*.f32 |
| 5 338× | lower-*.f64 |
| 3 234× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 35 |
| 0 | 18 | 35 |
| 1 | 65 | 35 |
| 2 | 505 | 35 |
| 3 | 6369 | 35 |
| 0 | 8171 | 27 |
| 1× | iter limit |
| 1× | node limit |
| 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) |
(*.f64 a d) |
(+.f64 (*.f64 c c) (*.f64 d d)) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (pow.f64 (*.f64 d a) #s(literal 2 binary64))) (hypot.f64 d c)) (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64)))) (-.f64 (hypot.f64 (*.f64 d a) (*.f64 c b)) (*.f64 (*.f64 (*.f64 d a) b) c))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (pow.f64 (*.f64 d a) #s(literal 2 binary64))) (hypot.f64 d c)) (-.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (pow.f64 (*.f64 d a) #s(literal 2 binary64)))) (fma.f64 (neg.f64 d) a (*.f64 c b))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64))) (hypot.f64 d c)) (-.f64 (pow.f64 (*.f64 c b) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 d a (*.f64 c b)) (*.f64 d a)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (*.f64 (fma.f64 d a (*.f64 c b)) (*.f64 d a)))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64))) (hypot.f64 d c)) (+.f64 (pow.f64 (*.f64 (fma.f64 d a (*.f64 c b)) (*.f64 d a)) #s(literal 3 binary64)) (pow.f64 (*.f64 c b) #s(literal 6 binary64)))) (fma.f64 (*.f64 (fma.f64 d a (*.f64 c b)) (*.f64 d a)) (-.f64 (*.f64 (fma.f64 d a (*.f64 c b)) (*.f64 d a)) (pow.f64 (*.f64 c b) #s(literal 2 binary64))) (pow.f64 (*.f64 c b) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 d) a (*.f64 c b)) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (*.f64 (+.f64 d c) (-.f64 d c))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 d) a (*.f64 c b)) (neg.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))))) (neg.f64 (*.f64 (-.f64 c d) (+.f64 d c)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 d) a (*.f64 c b)) (neg.f64 (hypot.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))))) (neg.f64 (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 c) b (*.f64 d a)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (neg.f64 (*.f64 (-.f64 c d) (+.f64 d c)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 c) b (*.f64 d a)) (hypot.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64)))) (neg.f64 (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))))) |
(*.f64 (pow.f64 (/.f64 (hypot.f64 d c) (-.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (pow.f64 (*.f64 d a) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 d a (*.f64 c b)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (hypot.f64 d c) (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 (*.f64 d a) b) c (hypot.f64 (*.f64 d a) (*.f64 c b))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 (fma.f64 (neg.f64 d) a (*.f64 c b)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (+.f64 d c)) (-.f64 c d)) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 d) a (*.f64 c b)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))))) (*.f64 (-.f64 c d) (+.f64 d c))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 d) a (*.f64 c b)) (hypot.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))))) (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 c) b (*.f64 d a))) (/.f64 #s(literal -1 binary64) (hypot.f64 d c))) |
(*.f64 (pow.f64 (/.f64 (hypot.f64 d c) (fma.f64 (neg.f64 d) a (*.f64 c b))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (hypot.f64 d c) (fma.f64 (neg.f64 d) a (*.f64 c b))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 d) a (*.f64 c b)) #s(literal 1 binary64)) (pow.f64 (hypot.f64 d c) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 d a (*.f64 c b)) (hypot.f64 d c)) (/.f64 (fma.f64 (neg.f64 d) a (*.f64 c b)) (fma.f64 d a (*.f64 c b)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 d a) b) c (hypot.f64 (*.f64 d a) (*.f64 c b))) (hypot.f64 d c)) (/.f64 (fma.f64 (neg.f64 d) a (*.f64 c b)) (fma.f64 (*.f64 (*.f64 d a) b) c (hypot.f64 (*.f64 d a) (*.f64 c b))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (pow.f64 (*.f64 d a) #s(literal 2 binary64))) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (/.f64 (pow.f64 (fma.f64 d a (*.f64 c b)) #s(literal -1 binary64)) (pow.f64 (*.f64 (-.f64 c d) (+.f64 d c)) #s(literal -1 binary64)))) |
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(*.f64 (/.f64 (hypot.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (-.f64 (pow.f64 c #s(literal 8 binary64)) (pow.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) #s(literal 2 binary64)))) (-.f64 (pow.f64 c #s(literal 4 binary64)) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (hypot.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (hypot.f64 (pow.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) #s(literal 3/2 binary64)) (pow.f64 c #s(literal 6 binary64)))) (fma.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (-.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))) (pow.f64 c #s(literal 8 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (hypot.f64 d c)) |
(*.f64 (/.f64 (hypot.f64 d c) (+.f64 d c)) (+.f64 d c)) |
(*.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (pow.f64 (*.f64 (+.f64 d c) (-.f64 d c)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (-.f64 c d) (+.f64 d c)) #s(literal -1 binary64)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) |
(*.f64 (pow.f64 (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))) #s(literal -1 binary64)) (hypot.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64)))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (pow.f64 (neg.f64 (*.f64 (-.f64 c d) (+.f64 d c))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (hypot.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64)))) (pow.f64 (neg.f64 (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64)))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (hypot.f64 d c))) |
(*.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (pow.f64 (*.f64 (-.f64 c d) (+.f64 d c)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (pow.f64 (*.f64 (-.f64 c d) (+.f64 d c)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (hypot.f64 d c)) |
(*.f64 (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))) (*.f64 (hypot.f64 d c) (pow.f64 (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(*.f64 (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))) (/.f64 (hypot.f64 d c) (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))))) |
(*.f64 (hypot.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (/.f64 (pow.f64 (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (hypot.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (hypot.f64 d c) (*.f64 (*.f64 (-.f64 c d) (+.f64 d c)) (pow.f64 (*.f64 (-.f64 c d) (+.f64 d c)) #s(literal -1 binary64)))) |
(*.f64 (hypot.f64 d c) (/.f64 (*.f64 (-.f64 c d) (+.f64 d c)) (*.f64 (-.f64 c d) (+.f64 d c)))) |
(*.f64 (hypot.f64 d c) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 (hypot.f64 d c) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (hypot.f64 d c) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (hypot.f64 d c) #s(literal 1 binary64)) |
(/.f64 (/.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (+.f64 d c)) (-.f64 c d)) |
(/.f64 (*.f64 (-.f64 (pow.f64 c #s(literal 8 binary64)) (pow.f64 d #s(literal 8 binary64))) (pow.f64 (*.f64 (-.f64 c d) (+.f64 d c)) #s(literal -1 binary64))) (hypot.f64 (*.f64 d d) (*.f64 c c))) |
(/.f64 (*.f64 (-.f64 (pow.f64 c #s(literal 12 binary64)) (pow.f64 d #s(literal 12 binary64))) (pow.f64 (*.f64 (-.f64 c d) (+.f64 d c)) #s(literal -1 binary64))) (+.f64 (hypot.f64 (pow.f64 (*.f64 d c) #s(literal 2 binary64)) (pow.f64 d #s(literal 4 binary64))) (pow.f64 c #s(literal 8 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 c #s(literal 12 binary64)) (pow.f64 d #s(literal 12 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) |
(/.f64 (*.f64 (hypot.f64 (pow.f64 d #s(literal 9 binary64)) (pow.f64 c #s(literal 9 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))) #s(literal -1 binary64))) (-.f64 (hypot.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (pow.f64 (*.f64 d c) #s(literal 6 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 (-.f64 c d) (+.f64 d c))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (-.f64 c d) (+.f64 d c))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 (-.f64 c d) (+.f64 d c))) (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (-.f64 c d) (+.f64 d c))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 (-.f64 c d) (+.f64 d c))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (-.f64 c d) (+.f64 d c))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 (-.f64 c d) (+.f64 d c))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (-.f64 c d) (+.f64 d c))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 (-.f64 c d) (+.f64 d c))) (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (-.f64 c d) (+.f64 d c))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (neg.f64 (*.f64 (+.f64 d c) (-.f64 d c)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))))) (neg.f64 (neg.f64 (*.f64 (-.f64 c d) (+.f64 d c))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))))) (*.f64 (-.f64 c d) (+.f64 d c))) |
(/.f64 (neg.f64 (neg.f64 (hypot.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (hypot.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))))) (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 c d) (+.f64 d c))) |
(/.f64 (*.f64 (hypot.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 c #s(literal 8 binary64)) (pow.f64 d #s(literal 8 binary64))) #s(literal 1 binary64)) (*.f64 (hypot.f64 (*.f64 d d) (*.f64 c c)) (*.f64 (-.f64 c d) (+.f64 d c)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 c #s(literal 12 binary64)) (pow.f64 d #s(literal 12 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (hypot.f64 (pow.f64 (*.f64 d c) #s(literal 2 binary64)) (pow.f64 d #s(literal 4 binary64))) (pow.f64 c #s(literal 8 binary64))) (*.f64 (-.f64 c d) (+.f64 d c)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 c #s(literal 12 binary64)) (pow.f64 d #s(literal 12 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))))) |
(/.f64 (*.f64 (hypot.f64 (pow.f64 d #s(literal 9 binary64)) (pow.f64 c #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (hypot.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (pow.f64 (*.f64 d c) #s(literal 6 binary64))) (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 (-.f64 c d) (+.f64 d c))) (*.f64 (*.f64 (-.f64 c d) (+.f64 d c)) (pow.f64 d #s(literal 4 binary64)))) (pow.f64 (*.f64 (-.f64 c d) (+.f64 d c)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 c #s(literal 8 binary64)) (pow.f64 d #s(literal 8 binary64))) (*.f64 (*.f64 (-.f64 c d) (+.f64 d c)) (hypot.f64 (*.f64 d d) (*.f64 c c)))) |
(/.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 d c) (-.f64 d c)))) |
(/.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (*.f64 (+.f64 d c) (-.f64 d c))) |
(/.f64 (-.f64 (pow.f64 c #s(literal 12 binary64)) (pow.f64 d #s(literal 12 binary64))) (*.f64 (*.f64 (-.f64 c d) (+.f64 d c)) (+.f64 (hypot.f64 (pow.f64 (*.f64 d c) #s(literal 2 binary64)) (pow.f64 d #s(literal 4 binary64))) (pow.f64 c #s(literal 8 binary64))))) |
(/.f64 (-.f64 (pow.f64 c #s(literal 12 binary64)) (pow.f64 d #s(literal 12 binary64))) (*.f64 (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))) (-.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))))) |
(/.f64 (hypot.f64 (pow.f64 d #s(literal 9 binary64)) (pow.f64 c #s(literal 9 binary64))) (*.f64 (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))) (-.f64 (hypot.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (pow.f64 (*.f64 d c) #s(literal 6 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (-.f64 c d) (+.f64 d c))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (neg.f64 (*.f64 (-.f64 c d) (+.f64 d c)))) |
(/.f64 (neg.f64 (hypot.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64)))) (*.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (hypot.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64)))) (neg.f64 (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (hypot.f64 d c))) |
(/.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 c d) (+.f64 d c)))) |
(/.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (neg.f64 (neg.f64 (*.f64 (-.f64 c d) (+.f64 d c))))) |
(/.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (*.f64 (-.f64 c d) (+.f64 d c))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 d c) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 d c) #s(literal -1 binary64))) |
(/.f64 (hypot.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))))) |
(/.f64 (hypot.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (neg.f64 (neg.f64 (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64)))))) |
(/.f64 (hypot.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64)))) |
(/.f64 (neg.f64 (hypot.f64 d c)) #s(literal -1 binary64)) |
(/.f64 (hypot.f64 d c) #s(literal 1 binary64)) |
(neg.f64 (neg.f64 (hypot.f64 d c))) |
(fma.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (-.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (fma.f64 (*.f64 d d) (hypot.f64 d c) (pow.f64 c #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (-.f64 c d) (+.f64 d c))))) |
(fma.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (hypot.f64 d c) (neg.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (-.f64 c d) (+.f64 d c))))) |
(fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (+.f64 d c)) (/.f64 c (-.f64 c d)) (neg.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (-.f64 c d) (+.f64 d c))))) |
(fma.f64 (/.f64 (*.f64 c c) (+.f64 d c)) (/.f64 (*.f64 c c) (-.f64 c d)) (neg.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (-.f64 c d) (+.f64 d c))))) |
(fma.f64 (/.f64 c (+.f64 d c)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (-.f64 c d)) (neg.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (-.f64 c d) (+.f64 d c))))) |
(fma.f64 (exp.f64 (log.f64 d)) (exp.f64 (log.f64 d)) (*.f64 c c)) |
(fma.f64 (exp.f64 (log.f64 c)) (exp.f64 (log.f64 c)) (*.f64 d d)) |
(fma.f64 (pow.f64 c #s(literal 3 binary64)) (/.f64 c (*.f64 (-.f64 c d) (+.f64 d c))) (neg.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (-.f64 c d) (+.f64 d c))))) |
(fma.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 c d) (+.f64 d c)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (-.f64 c d) (+.f64 d c))))) |
(fma.f64 (*.f64 c c) (/.f64 (*.f64 c c) (*.f64 (-.f64 c d) (+.f64 d c))) (neg.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (-.f64 c d) (+.f64 d c))))) |
(fma.f64 d d (*.f64 c c)) |
(fma.f64 c (/.f64 (pow.f64 c #s(literal 3 binary64)) (*.f64 (-.f64 c d) (+.f64 d c))) (neg.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (-.f64 c d) (+.f64 d c))))) |
(fma.f64 c c (*.f64 d d)) |
(-.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (+.f64 d c) (-.f64 d c))) (/.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 (+.f64 d c) (-.f64 d c)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 (-.f64 c d) (+.f64 d c))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (-.f64 c d) (+.f64 d c))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 (-.f64 c d) (+.f64 d c))) (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (-.f64 c d) (+.f64 d c)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (hypot.f64 d c))) |
(hypot.f64 (exp.f64 (log.f64 d)) (exp.f64 (log.f64 c))) |
(hypot.f64 (exp.f64 (log.f64 d)) c) |
(hypot.f64 (exp.f64 (log.f64 c)) (exp.f64 (log.f64 d))) |
(hypot.f64 (exp.f64 (log.f64 c)) d) |
(hypot.f64 d (exp.f64 (log.f64 c))) |
(hypot.f64 d c) |
(hypot.f64 c (exp.f64 (log.f64 d))) |
(hypot.f64 c d) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 d c) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (neg.f64 (*.f64 (neg.f64 c) c)) (neg.f64 (*.f64 (neg.f64 d) d))) |
(+.f64 (neg.f64 (*.f64 (neg.f64 d) d)) (neg.f64 (*.f64 (neg.f64 c) c))) |
(+.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 (-.f64 c d) (+.f64 d c))) (neg.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (-.f64 c d) (+.f64 d c))))) |
(+.f64 (*.f64 d d) (*.f64 c c)) |
(+.f64 (*.f64 c c) (*.f64 d d)) |
Compiled 17 014 to 1 360 computations (92% saved)
19 alts after pruning (19 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 635 | 19 | 654 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 636 | 19 | 655 |
| Status | Accuracy | Program |
|---|---|---|
| 13.9% | (fma.f64 (/.f64 c (hypot.f64 d c)) b (*.f64 (neg.f64 d) (/.f64 a (hypot.f64 d c)))) | |
| ▶ | 62.2% | (/.f64 (fma.f64 c b (*.f64 (neg.f64 d) a)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| ▶ | 36.8% | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 (*.f64 c c) (/.f64 (*.f64 c c) (*.f64 (-.f64 c d) (+.f64 d c))) (neg.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (-.f64 c d) (+.f64 d c)))))) |
| ▶ | 62.2% | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 d d (*.f64 c c))) |
| ▶ | 36.9% | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
| 36.3% | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| 21.7% | (/.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 c b) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 d a (*.f64 c b)) (*.f64 d a)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (*.f64 (fma.f64 d a (*.f64 c b)) (*.f64 d a)))) (+.f64 (*.f64 c c) (*.f64 d d))) | |
| 25.5% | (/.f64 (*.f64 (*.f64 (-.f64 c d) (+.f64 d c)) (fma.f64 (neg.f64 d) a (*.f64 c b))) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) | |
| 40.0% | (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) (+.f64 (*.f64 c c) (*.f64 d d))) | |
| 38.6% | (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) (+.f64 (*.f64 c c) (*.f64 d d))) | |
| 35.3% | (*.f64 (*.f64 (/.f64 (fma.f64 (neg.f64 d) a (*.f64 c b)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (+.f64 d c)) (-.f64 c d)) | |
| 40.7% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 a (pow.f64 c #s(literal 4 binary64))) d) (/.f64 b (pow.f64 c #s(literal 3 binary64)))) d (/.f64 (/.f64 (neg.f64 a) c) c)) d (/.f64 b c))) | |
| 50.5% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) d)) | |
| 53.4% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) | |
| 53.9% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) | |
| 41.9% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) | |
| ▶ | 42.4% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
| 18.7% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (hypot.f64 c d)) c)) | |
| 9.3% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (hypot.f64 c d)))) |
Compiled 652 to 456 computations (30.1% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 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 | (neg.f64 d) | |
| cost-diff | 0 | (*.f64 (neg.f64 d) a) | |
| cost-diff | 0 | (fma.f64 c b (*.f64 (neg.f64 d) a)) | |
| cost-diff | 0 | (/.f64 (fma.f64 c b (*.f64 (neg.f64 d) a)) (+.f64 (*.f64 c c) (*.f64 d d))) | |
| cost-diff | 0 | (*.f64 a d) | |
| cost-diff | 0 | (*.f64 b c) | |
| cost-diff | 0 | (-.f64 (*.f64 b c) (*.f64 a d)) | |
| cost-diff | 0 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| cost-diff | 0 | (/.f64 b c) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) | |
| cost-diff | 0 | (*.f64 a d) | |
| cost-diff | 0 | (*.f64 b c) | |
| cost-diff | 0 | (-.f64 (*.f64 b c) (*.f64 a d)) | |
| cost-diff | 0 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 d d (*.f64 c c))) |
| 6 560× | lower-fma.f32 |
| 6 554× | lower-fma.f64 |
| 2 514× | lower-*.f32 |
| 2 502× | lower-*.f64 |
| 1 602× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 292 |
| 0 | 61 | 287 |
| 1 | 121 | 287 |
| 2 | 256 | 283 |
| 3 | 592 | 278 |
| 4 | 1390 | 278 |
| 5 | 3225 | 278 |
| 6 | 5303 | 278 |
| 7 | 7105 | 278 |
| 8 | 7963 | 278 |
| 0 | 8037 | 257 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 d d (*.f64 c c))) |
(-.f64 (*.f64 b c) (*.f64 a d)) |
(*.f64 b c) |
b |
c |
(*.f64 a d) |
a |
d |
(fma.f64 d d (*.f64 c c)) |
(*.f64 c c) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
(/.f64 b c) |
b |
c |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(-.f64 (*.f64 b c) (*.f64 a d)) |
(*.f64 b c) |
b |
c |
(*.f64 a d) |
a |
d |
#s(approx (+ (* c c) (* d d)) (*.f64 d d)) |
(*.f64 d d) |
(/.f64 (fma.f64 c b (*.f64 (neg.f64 d) a)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(fma.f64 c b (*.f64 (neg.f64 d) a)) |
c |
b |
(*.f64 (neg.f64 d) a) |
(neg.f64 d) |
d |
a |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(*.f64 c c) |
(*.f64 d d) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 (*.f64 c c) (/.f64 (*.f64 c c) (*.f64 (-.f64 c d) (+.f64 d c))) (neg.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (-.f64 c d) (+.f64 d c)))))) |
(-.f64 (*.f64 b c) (*.f64 a d)) |
(*.f64 b c) |
b |
c |
(*.f64 a d) |
a |
d |
(fma.f64 (*.f64 c c) (/.f64 (*.f64 c c) (*.f64 (-.f64 c d) (+.f64 d c))) (neg.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (-.f64 c d) (+.f64 d c))))) |
(*.f64 c c) |
(/.f64 (*.f64 c c) (*.f64 (-.f64 c d) (+.f64 d c))) |
(*.f64 (-.f64 c d) (+.f64 d c)) |
(-.f64 c d) |
(+.f64 d c) |
(neg.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (-.f64 c d) (+.f64 d c)))) |
(/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (-.f64 c d) (+.f64 d c))) |
(pow.f64 d #s(literal 4 binary64)) |
#s(literal 4 binary64) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 d d (*.f64 c c))) |
(/.f64 (fma.f64 (neg.f64 a) d (*.f64 c b)) (hypot.f64 d 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 |
(fma.f64 d d (*.f64 c c)) |
(hypot.f64 d c) |
(*.f64 c c) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
(/.f64 b c) |
b |
c |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 (fma.f64 (neg.f64 a) d (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(-.f64 (*.f64 b c) (*.f64 a d)) |
(fma.f64 (neg.f64 a) d (*.f64 c b)) |
(*.f64 b c) |
(*.f64 c b) |
b |
c |
(*.f64 a d) |
(*.f64 d a) |
a |
d |
#s(approx (+ (* c c) (* d d)) (*.f64 d d)) |
(*.f64 d d) |
(/.f64 (fma.f64 c b (*.f64 (neg.f64 d) a)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 (fma.f64 (neg.f64 a) d (*.f64 c b)) (hypot.f64 d c)) |
(fma.f64 c b (*.f64 (neg.f64 d) a)) |
(fma.f64 (neg.f64 a) d (*.f64 c b)) |
c |
b |
(*.f64 (neg.f64 d) a) |
(neg.f64 d) |
d |
a |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(hypot.f64 d c) |
(*.f64 c c) |
(*.f64 d d) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 (*.f64 c c) (/.f64 (*.f64 c c) (*.f64 (-.f64 c d) (+.f64 d c))) (neg.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (-.f64 c d) (+.f64 d c)))))) |
(/.f64 (fma.f64 (neg.f64 c) b (*.f64 d a)) (-.f64 (/.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (+.f64 d c)) (-.f64 d c)) (/.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (+.f64 d c)) (-.f64 d 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 |
(fma.f64 (*.f64 c c) (/.f64 (*.f64 c c) (*.f64 (-.f64 c d) (+.f64 d c))) (neg.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (-.f64 c d) (+.f64 d c))))) |
(-.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (fma.f64 (neg.f64 d) d (*.f64 c c))) (/.f64 (pow.f64 d #s(literal 4 binary64)) (fma.f64 (neg.f64 d) d (*.f64 c c)))) |
(*.f64 c c) |
(/.f64 (*.f64 c c) (*.f64 (-.f64 c d) (+.f64 d c))) |
(*.f64 (/.f64 c (fma.f64 (neg.f64 d) d (*.f64 c c))) c) |
(*.f64 (-.f64 c d) (+.f64 d c)) |
(fma.f64 (neg.f64 d) d (*.f64 c c)) |
(-.f64 c d) |
(+.f64 d c) |
(neg.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (-.f64 c d) (+.f64 d c)))) |
(/.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (+.f64 d c)) (-.f64 d c)) |
(/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (-.f64 c d) (+.f64 d c))) |
(/.f64 (pow.f64 d #s(literal 4 binary64)) (fma.f64 (neg.f64 d) d (*.f64 c c))) |
(pow.f64 d #s(literal 4 binary64)) |
#s(literal 4 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.3984375000000002 | (fma.f64 (*.f64 c c) (/.f64 (*.f64 c c) (*.f64 (-.f64 c d) (+.f64 d c))) (neg.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (-.f64 c d) (+.f64 d c))))) | |
| accuracy | 21.404391391703562 | (/.f64 (*.f64 c c) (*.f64 (-.f64 c d) (+.f64 d c))) | |
| accuracy | 23.95416351192377 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 (*.f64 c c) (/.f64 (*.f64 c c) (*.f64 (-.f64 c d) (+.f64 d c))) (neg.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (-.f64 c d) (+.f64 d c)))))) | |
| accuracy | 31.9591530359566 | (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (-.f64 c d) (+.f64 d c))) | |
| accuracy | 0 | (neg.f64 d) | |
| accuracy | 0.0078125 | (+.f64 (*.f64 c c) (*.f64 d d)) | |
| accuracy | 0.2578097476055602 | (fma.f64 c b (*.f64 (neg.f64 d) a)) | |
| accuracy | 23.95416351192377 | (/.f64 (fma.f64 c b (*.f64 (neg.f64 d) a)) (+.f64 (*.f64 c c) (*.f64 d d))) | |
| accuracy | 0 | (*.f64 a d) | |
| accuracy | 0.5156208716604116 | (-.f64 (*.f64 b c) (*.f64 a d)) | |
| accuracy | 23.95416351192377 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| accuracy | 27.12834695556548 | #s(approx (+ (* c c) (* d d)) (*.f64 d d)) | |
| accuracy | 0 | (/.f64 b c) | |
| accuracy | 36.83349762935565 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) | |
| accuracy | 0 | (*.f64 b c) | |
| accuracy | 0 | (*.f64 a d) | |
| accuracy | 0.5156208716604116 | (-.f64 (*.f64 b c) (*.f64 a d)) | |
| accuracy | 23.95416351192377 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 d d (*.f64 c c))) |
| 63.0ms | 256× | 0 | valid |
Compiled 288 to 32 computations (88.9% saved)
ival-mult: 20.0ms (46.2% of total)ival-div: 10.0ms (23.1% of total)ival-add: 5.0ms (11.6% of total)ival-pow: 4.0ms (9.2% of total)ival-sub: 2.0ms (4.6% of total)ival-neg: 2.0ms (4.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 d d (*.f64 c c))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 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 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 (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) #<representation:binary64>) () ()) |
#s(alt (/.f64 (fma.f64 c b (*.f64 (neg.f64 d) a)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (fma.f64 c b (*.f64 (neg.f64 d) a)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation:binary64>) () ()) |
#s(alt (fma.f64 c b (*.f64 (neg.f64 d) a)) (patch (fma.f64 c b (*.f64 (neg.f64 d) a)) #<representation:binary64>) () ()) |
#s(alt (*.f64 (neg.f64 d) a) (patch (*.f64 (neg.f64 d) a) #<representation:binary64>) () ()) |
#s(alt (neg.f64 d) (patch (neg.f64 d) #<representation:binary64>) () ()) |
#s(alt (*.f64 c c) (patch (*.f64 c c) #<representation:binary64>) () ()) |
#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation:binary64>) () ()) |
#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation:binary64>) () ()) |
#s(alt (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (-.f64 c d) (+.f64 d c))) (patch (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (-.f64 c d) (+.f64 d c))) #<representation:binary64>) () ()) |
#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 (*.f64 c c) (/.f64 (*.f64 c c) (*.f64 (-.f64 c d) (+.f64 d c))) (neg.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (-.f64 c d) (+.f64 d c)))))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 (*.f64 c c) (/.f64 (*.f64 c c) (*.f64 (-.f64 c d) (+.f64 d c))) (neg.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (-.f64 c d) (+.f64 d c)))))) #<representation:binary64>) () ()) |
#s(alt (/.f64 (*.f64 c c) (*.f64 (-.f64 c d) (+.f64 d c))) (patch (/.f64 (*.f64 c c) (*.f64 (-.f64 c d) (+.f64 d c))) #<representation:binary64>) () ()) |
#s(alt (fma.f64 (*.f64 c c) (/.f64 (*.f64 c c) (*.f64 (-.f64 c d) (+.f64 d c))) (neg.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (-.f64 c d) (+.f64 d c))))) (patch (fma.f64 (*.f64 c c) (/.f64 (*.f64 c c) (*.f64 (-.f64 c d) (+.f64 d c))) (neg.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (-.f64 c d) (+.f64 d c))))) #<representation:binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 d d (*.f64 c c))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 d d (*.f64 c c))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 d d (*.f64 c c))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 d d (*.f64 c c))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 d d (*.f64 c c))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 d d (*.f64 c c))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 d d (*.f64 c c))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 d d (*.f64 c c))) #<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>) () ())) ()) |
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#s(alt (* -1 (/ (+ a (* -1 (/ (- (+ (* b c) (+ (/ (* a (+ (pow c 2) (pow (+ c (* -1 c)) 2))) d) (/ (* (+ c (* -1 c)) (- (* b c) (* a (+ c (* -1 c))))) d))) (* a (+ c (* -1 c)))) d))) d)) (taylor -inf d) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 (*.f64 c c) (/.f64 (*.f64 c c) (*.f64 (-.f64 c d) (+.f64 d c))) (neg.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (-.f64 c d) (+.f64 d c)))))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 (*.f64 c c) (/.f64 (*.f64 c c) (*.f64 (-.f64 c d) (+.f64 d c))) (neg.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (-.f64 c d) (+.f64 d c)))))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (+ c (* -1 c)) (+ (* a (+ (pow c 2) (pow (+ c (* -1 c)) 2))) (* (+ c (* -1 c)) (- (* b c) (* a (+ c (* -1 c))))))) d)) (+ (/ (* a (+ (* (+ c (* -1 c)) (+ (pow c 2) (pow (+ c (* -1 c)) 2))) (* (pow c 2) (+ c (* -1 c))))) d) (/ (* (+ (pow c 2) (pow (+ c (* -1 c)) 2)) (- (* b c) (* a (+ c (* -1 c))))) d))) (+ (* a (+ (pow c 2) (pow (+ c (* -1 c)) 2))) (* (+ c (* -1 c)) (- (* b c) (* a (+ c (* -1 c))))))) d)) (* b c)) (* a (+ c (* -1 c)))) d))) d)) (taylor -inf d) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 (*.f64 c c) (/.f64 (*.f64 c c) (*.f64 (-.f64 c d) (+.f64 d c))) (neg.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (-.f64 c d) (+.f64 d c)))))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 (*.f64 c c) (/.f64 (*.f64 c c) (*.f64 (-.f64 c d) (+.f64 d c))) (neg.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (-.f64 c d) (+.f64 d c)))))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (/ (pow c 2) (pow d 2))) (taylor -inf d) (#s(alt (/.f64 (*.f64 c c) (*.f64 (-.f64 c d) (+.f64 d c))) (patch (/.f64 (*.f64 c c) (*.f64 (-.f64 c d) (+.f64 d c))) #<representation:binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (pow c 2)) (/ (* (pow c 2) (+ c (* -1 c))) d)) (pow d 2)) (taylor -inf d) (#s(alt (/.f64 (*.f64 c c) (*.f64 (-.f64 c d) (+.f64 d c))) (patch (/.f64 (*.f64 c c) (*.f64 (-.f64 c d) (+.f64 d c))) #<representation:binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (/ (- (+ (/ (* (pow c 2) (pow (+ c (* -1 c)) 2)) d) (/ (pow c 4) d)) (* (pow c 2) (+ c (* -1 c)))) d)) (* -1 (pow c 2))) (pow d 2)) (taylor -inf d) (#s(alt (/.f64 (*.f64 c c) (*.f64 (-.f64 c d) (+.f64 d c))) (patch (/.f64 (*.f64 c c) (*.f64 (-.f64 c d) (+.f64 d c))) #<representation:binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ c (* -1 c)) (+ (* (pow c 2) (pow (+ c (* -1 c)) 2)) (pow c 4))) d) (/ (* (pow c 4) (+ c (* -1 c))) d)) (+ (* (pow c 2) (pow (+ c (* -1 c)) 2)) (pow c 4))) d)) (* (pow c 2) (+ c (* -1 c)))) d)) (* -1 (pow c 2))) (pow d 2)) (taylor -inf d) (#s(alt (/.f64 (*.f64 c c) (*.f64 (-.f64 c d) (+.f64 d c))) (patch (/.f64 (*.f64 c c) (*.f64 (-.f64 c d) (+.f64 d c))) #<representation:binary64>) () ())) ()) |
#s(alt (pow d 2) (taylor -inf d) (#s(alt (fma.f64 (*.f64 c c) (/.f64 (*.f64 c c) (*.f64 (-.f64 c d) (+.f64 d c))) (neg.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (-.f64 c d) (+.f64 d c))))) (patch (fma.f64 (*.f64 c c) (/.f64 (*.f64 c c) (*.f64 (-.f64 c d) (+.f64 d c))) (neg.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (-.f64 c d) (+.f64 d c))))) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (* -1 (/ (+ c (* -1 c)) d)))) (taylor -inf d) (#s(alt (fma.f64 (*.f64 c c) (/.f64 (*.f64 c c) (*.f64 (-.f64 c d) (+.f64 d c))) (neg.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (-.f64 c d) (+.f64 d c))))) (patch (fma.f64 (*.f64 c c) (/.f64 (*.f64 c c) (*.f64 (-.f64 c d) (+.f64 d c))) (neg.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (-.f64 c d) (+.f64 d c))))) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (* -1 (/ (+ c (+ (* -1 c) (* -1 (/ (+ (pow c 2) (pow (+ c (* -1 c)) 2)) d)))) d)))) (taylor -inf d) (#s(alt (fma.f64 (*.f64 c c) (/.f64 (*.f64 c c) (*.f64 (-.f64 c d) (+.f64 d c))) (neg.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (-.f64 c d) (+.f64 d c))))) (patch (fma.f64 (*.f64 c c) (/.f64 (*.f64 c c) (*.f64 (-.f64 c d) (+.f64 d c))) (neg.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (-.f64 c d) (+.f64 d c))))) #<representation:binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (* -1 (/ (+ c (+ (* -1 c) (* -1 (/ (+ (* -1 (/ (+ (* (+ c (* -1 c)) (+ (pow c 2) (pow (+ c (* -1 c)) 2))) (* (pow c 2) (+ c (* -1 c)))) d)) (+ (pow c 2) (pow (+ c (* -1 c)) 2))) d)))) d)))) (taylor -inf d) (#s(alt (fma.f64 (*.f64 c c) (/.f64 (*.f64 c c) (*.f64 (-.f64 c d) (+.f64 d c))) (neg.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (-.f64 c d) (+.f64 d c))))) (patch (fma.f64 (*.f64 c c) (/.f64 (*.f64 c c) (*.f64 (-.f64 c d) (+.f64 d c))) (neg.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (-.f64 c d) (+.f64 d c))))) #<representation:binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 35.0ms | b | @ | inf | ((/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (- (* b c) (* a d)) (* b c) (* a d) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ b c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (+ (* c b) (* (neg d) a)) (+ (* c c) (* d d))) (+ (* c b) (* (neg d) a)) (* (neg d) a) (neg d) (* c c) (+ (* c c) (* d d)) (+ (* c c) (* d d)) (/ (pow d 4) (* (- c d) (+ d c))) (/ (- (* b c) (* a d)) (+ (* (* c c) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) (/ (* c c) (* (- c d) (+ d c))) (+ (* (* c c) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) |
| 4.0ms | c | @ | 0 | ((/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (- (* b c) (* a d)) (* b c) (* a d) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ b c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (+ (* c b) (* (neg d) a)) (+ (* c c) (* d d))) (+ (* c b) (* (neg d) a)) (* (neg d) a) (neg d) (* c c) (+ (* c c) (* d d)) (+ (* c c) (* d d)) (/ (pow d 4) (* (- c d) (+ d c))) (/ (- (* b c) (* a d)) (+ (* (* c c) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) (/ (* c c) (* (- c d) (+ d c))) (+ (* (* c c) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) |
| 3.0ms | c | @ | -inf | ((/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (- (* b c) (* a d)) (* b c) (* a d) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ b c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (+ (* c b) (* (neg d) a)) (+ (* c c) (* d d))) (+ (* c b) (* (neg d) a)) (* (neg d) a) (neg d) (* c c) (+ (* c c) (* d d)) (+ (* c c) (* d d)) (/ (pow d 4) (* (- c d) (+ d c))) (/ (- (* b c) (* a d)) (+ (* (* c c) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) (/ (* c c) (* (- c d) (+ d c))) (+ (* (* c c) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) |
| 3.0ms | c | @ | inf | ((/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (- (* b c) (* a d)) (* b c) (* a d) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ b c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (+ (* c b) (* (neg d) a)) (+ (* c c) (* d d))) (+ (* c b) (* (neg d) a)) (* (neg d) a) (neg d) (* c c) (+ (* c c) (* d d)) (+ (* c c) (* d d)) (/ (pow d 4) (* (- c d) (+ d c))) (/ (- (* b c) (* a d)) (+ (* (* c c) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) (/ (* c c) (* (- c d) (+ d c))) (+ (* (* c c) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) |
| 3.0ms | d | @ | inf | ((/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (- (* b c) (* a d)) (* b c) (* a d) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ b c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (+ (* c b) (* (neg d) a)) (+ (* c c) (* d d))) (+ (* c b) (* (neg d) a)) (* (neg d) a) (neg d) (* c c) (+ (* c c) (* d d)) (+ (* c c) (* d d)) (/ (pow d 4) (* (- c d) (+ d c))) (/ (- (* b c) (* a d)) (+ (* (* c c) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) (/ (* c c) (* (- c d) (+ d c))) (+ (* (* c c) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) |
| 1× | egg-herbie |
| 8 582× | lower-fma.f64 |
| 8 582× | lower-fma.f32 |
| 4 754× | lower-+.f64 |
| 4 754× | lower-+.f32 |
| 4 366× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 793 | 9586 |
| 1 | 2711 | 8331 |
| 0 | 9190 | 7395 |
| 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)) |
(- (* 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))))) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* 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)) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow d 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(pow d 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(* -1 (pow d 2)) |
(+ (* -1 (* c (+ d (* -1 d)))) (* -1 (pow d 2))) |
(+ (* -1 (pow d 2)) (* c (- (* -1 (* c (+ 1 (/ (pow (+ d (* -1 d)) 2) (pow d 2))))) (+ d (* -1 d))))) |
(+ (* -1 (pow d 2)) (* c (- (* c (- (* -1 (/ (* c (* (+ 1 (/ (pow (+ d (* -1 d)) 2) (pow d 2))) (+ d (* -1 d)))) (pow d 2))) (+ 1 (/ (pow (+ d (* -1 d)) 2) (pow d 2))))) (+ d (* -1 d))))) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (* c (- (/ b (pow d 2)) (* -1 (/ (* a (+ d (* -1 d))) (pow d 3)))))) |
(+ (* -1 (/ a d)) (* c (- (+ (* -1 (* c (+ (* -1 (/ (* a (+ 1 (/ (pow (+ d (* -1 d)) 2) (pow d 2)))) (pow d 3))) (/ (* (+ d (* -1 d)) (- (/ b (pow d 2)) (* -1 (/ (* a (+ d (* -1 d))) (pow d 3))))) (pow d 2))))) (/ b (pow d 2))) (* -1 (/ (* a (+ d (* -1 d))) (pow d 3)))))) |
(+ (* -1 (/ a d)) (* c (- (+ (* c (- (* -1 (* c (+ (* -1 (/ (* a (* (+ 1 (/ (pow (+ d (* -1 d)) 2) (pow d 2))) (+ d (* -1 d)))) (pow d 5))) (+ (* -1 (/ (* (+ d (* -1 d)) (+ (* -1 (/ (* a (+ 1 (/ (pow (+ d (* -1 d)) 2) (pow d 2)))) (pow d 3))) (/ (* (+ d (* -1 d)) (- (/ b (pow d 2)) (* -1 (/ (* a (+ d (* -1 d))) (pow d 3))))) (pow d 2)))) (pow d 2))) (/ (* (+ 1 (/ (pow (+ d (* -1 d)) 2) (pow d 2))) (- (/ b (pow d 2)) (* -1 (/ (* a (+ d (* -1 d))) (pow d 3))))) (pow d 2)))))) (+ (* -1 (/ (* a (+ 1 (/ (pow (+ d (* -1 d)) 2) (pow d 2)))) (pow d 3))) (/ (* (+ d (* -1 d)) (- (/ b (pow d 2)) (* -1 (/ (* a (+ d (* -1 d))) (pow d 3))))) (pow d 2))))) (/ b (pow d 2))) (* -1 (/ (* a (+ d (* -1 d))) (pow d 3)))))) |
(* -1 (/ (pow c 2) (pow d 2))) |
(* (pow c 2) (- (* -1 (/ (pow c 2) (pow d 4))) (/ 1 (pow d 2)))) |
(* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (pow c 2) (pow d 6))) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))) |
(* (pow c 2) (- (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (pow c 2) (pow d 8))) (/ 1 (pow d 6)))) (/ 1 (pow d 4)))) (/ 1 (pow d 2)))) |
(pow d 2) |
(- (* c (+ d (* -1 d))) (* -1 (pow d 2))) |
(- (* c (+ d (+ (* -1 d) (* c (+ 1 (/ (pow (+ d (* -1 d)) 2) (pow d 2))))))) (* -1 (pow d 2))) |
(- (* c (+ d (+ (* -1 d) (* c (+ 1 (+ (/ (* c (* (+ 1 (/ (pow (+ d (* -1 d)) 2) (pow d 2))) (+ d (* -1 d)))) (pow d 2)) (/ (pow (+ d (* -1 d)) 2) (pow d 2)))))))) (* -1 (pow d 2))) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(* b c) |
(* 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 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)) (* -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)))) |
(pow c 2) |
(pow c 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)))) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(/ (pow d 4) (pow c 2)) |
(/ (+ (* -1 (/ (* (pow d 4) (+ d (* -1 d))) c)) (pow d 4)) (pow c 2)) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (pow d 4) (pow (+ d (* -1 d)) 2))) (* -1 (pow d 6))) (pow c 2))) (pow d 4)) (/ (* (pow d 4) (+ d (* -1 d))) c)) (pow c 2)) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (+ d (* -1 d)) (+ (* -1 (* (pow d 4) (pow (+ d (* -1 d)) 2))) (* -1 (pow d 6))))) (* (pow d 6) (+ d (* -1 d)))) (pow c 3))) (pow d 4)) (+ (* -1 (/ (* (pow d 4) (pow (+ d (* -1 d)) 2)) (pow c 2))) (+ (* -1 (/ (pow d 6) (pow c 2))) (/ (* (pow d 4) (+ d (* -1 d))) c)))) (pow c 2)) |
(/ b c) |
(/ (- (+ b (* -1 (/ (* a d) c))) (* -1 (/ (* b (+ d (* -1 d))) c))) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (+ (* -1 (* b (+ (* -1 (pow d 2)) (* -1 (pow (+ d (* -1 d)) 2))))) (* -1 (* (+ d (* -1 d)) (- (* -1 (* a d)) (* -1 (* b (+ d (* -1 d)))))))) (pow c 2))))) (* -1 (/ (* b (+ d (* -1 d))) c))) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (+ (* -1 (* b (+ (* -1 (* (+ d (* -1 d)) (+ (* -1 (pow d 2)) (* -1 (pow (+ d (* -1 d)) 2))))) (* (pow d 2) (+ d (* -1 d)))))) (+ (* -1 (* (+ (* -1 (pow d 2)) (* -1 (pow (+ d (* -1 d)) 2))) (- (* -1 (* a d)) (* -1 (* b (+ d (* -1 d))))))) (* (+ d (* -1 d)) (+ (* -1 (* b (+ (* -1 (pow d 2)) (* -1 (pow (+ d (* -1 d)) 2))))) (* -1 (* (+ d (* -1 d)) (- (* -1 (* a d)) (* -1 (* b (+ d (* -1 d))))))))))) (pow c 3))))) (+ (* -1 (/ (* b (+ d (* -1 d))) c)) (+ (* -1 (/ (* b (+ (* -1 (pow d 2)) (* -1 (pow (+ d (* -1 d)) 2)))) (pow c 2))) (* -1 (/ (* (+ d (* -1 d)) (- (* -1 (* a d)) (* -1 (* b (+ d (* -1 d)))))) (pow c 2)))))) c) |
1 |
(+ 1 (* -1 (/ (+ d (* -1 d)) c))) |
(- (+ 1 (* -1 (/ (+ (* -1 (pow d 2)) (* -1 (pow (+ d (* -1 d)) 2))) (pow c 2)))) (+ (* -1 (/ d c)) (/ d c))) |
(- (+ 1 (* -1 (/ (+ (* -1 (* (+ d (* -1 d)) (+ (* -1 (pow d 2)) (* -1 (pow (+ d (* -1 d)) 2))))) (* (pow d 2) (+ d (* -1 d)))) (pow c 3)))) (+ (* -1 (/ d c)) (+ (* -1 (/ (pow d 2) (pow c 2))) (+ (* -1 (/ (pow (+ d (* -1 d)) 2) (pow c 2))) (/ d c))))) |
(pow c 2) |
(* (pow c 2) (+ 1 (* -1 (/ (+ d (* -1 d)) c)))) |
(* (pow c 2) (- (+ 1 (* -1 (/ (+ (* -1 (pow d 2)) (* -1 (pow (+ d (* -1 d)) 2))) (pow c 2)))) (+ (* -1 (/ d c)) (/ d c)))) |
(* (pow c 2) (- (+ 1 (* -1 (/ (+ (* -1 (* (+ d (* -1 d)) (+ (* -1 (pow d 2)) (* -1 (pow (+ d (* -1 d)) 2))))) (* (pow d 2) (+ d (* -1 d)))) (pow c 3)))) (+ (* -1 (/ d c)) (+ (* -1 (/ (pow d 2) (pow c 2))) (+ (* -1 (/ (pow (+ d (* -1 d)) 2) (pow c 2))) (/ d c)))))) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) |
(* b c) |
(* -1 (* c (+ (* -1 b) (/ (* 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) |
(/ 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) (* -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)))) |
(pow c 2) |
(pow c 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)))) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(/ (pow d 4) (pow c 2)) |
(/ (+ (* -1 (/ (* (pow d 4) (+ d (* -1 d))) c)) (pow d 4)) (pow c 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* (pow d 4) (pow (+ d (* -1 d)) 2)) (pow d 6)) c)) (* (pow d 4) (+ d (* -1 d)))) c)) (pow d 4)) (pow c 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* (+ d (* -1 d)) (+ (* (pow d 4) (pow (+ d (* -1 d)) 2)) (pow d 6))) (* (pow d 6) (+ d (* -1 d)))) c)) (+ (* (pow d 4) (pow (+ d (* -1 d)) 2)) (pow d 6))) c)) (* (pow d 4) (+ d (* -1 d)))) c)) (pow d 4)) (pow c 2)) |
(/ b c) |
(* -1 (/ (- (+ (* -1 b) (/ (* a d) c)) (/ (* b (+ d (* -1 d))) c)) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (- (* a d) (* b (+ d (* -1 d))))) (* -1 (/ (+ (* b (+ (pow d 2) (pow (+ d (* -1 d)) 2))) (* (+ d (* -1 d)) (- (* a d) (* b (+ d (* -1 d)))))) c))) c))) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (- (* a d) (* b (+ d (* -1 d))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (+ d (* -1 d)) (+ (* b (+ (pow d 2) (pow (+ d (* -1 d)) 2))) (* (+ d (* -1 d)) (- (* a d) (* b (+ d (* -1 d)))))))) (+ (* b (+ (* (+ d (* -1 d)) (+ (pow d 2) (pow (+ d (* -1 d)) 2))) (* (pow d 2) (+ d (* -1 d))))) (* (+ (pow d 2) (pow (+ d (* -1 d)) 2)) (- (* a d) (* b (+ d (* -1 d))))))) c)) (+ (* b (+ (pow d 2) (pow (+ d (* -1 d)) 2))) (* (+ d (* -1 d)) (- (* a d) (* b (+ d (* -1 d))))))) c))) c))) c)) |
1 |
(+ 1 (* -1 (/ (+ d (* -1 d)) c))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (pow d 2) c)) (* -1 (/ (pow (+ d (* -1 d)) 2) c))) (* -1 (+ d (* -1 d)))) c))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow d 2) (+ d (* -1 d))) c)) (/ (* (+ d (* -1 d)) (+ (* -1 (pow d 2)) (* -1 (pow (+ d (* -1 d)) 2)))) c)) (+ (* -1 (pow d 2)) (* -1 (pow (+ d (* -1 d)) 2)))) c)) (* -1 (+ d (* -1 d)))) c))) |
(pow c 2) |
(* (pow c 2) (+ 1 (* -1 (/ (+ d (* -1 d)) c)))) |
(* (pow c 2) (+ 1 (* -1 (/ (+ d (+ (* -1 d) (* -1 (/ (+ (pow d 2) (pow (+ d (* -1 d)) 2)) c)))) c)))) |
(* (pow c 2) (+ 1 (* -1 (/ (+ d (+ (* -1 d) (* -1 (/ (+ (* -1 (/ (+ (* (+ d (* -1 d)) (+ (pow d 2) (pow (+ d (* -1 d)) 2))) (* (pow d 2) (+ d (* -1 d)))) c)) (+ (pow d 2) (pow (+ d (* -1 d)) 2))) c)))) c)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* -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)))) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a d)) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(* -1 (/ (* a d) (- (/ (pow c 4) (* (+ c d) (- c d))) (/ (pow d 4) (* (+ c d) (- c d)))))) |
(+ (* -1 (/ (* a d) (- (/ (pow c 4) (* (+ c d) (- c d))) (/ (pow d 4) (* (+ c d) (- c d)))))) (/ (* b c) (- (/ (pow c 4) (* (+ c d) (- c d))) (/ (pow d 4) (* (+ c d) (- c d)))))) |
(+ (* -1 (/ (* a d) (- (/ (pow c 4) (* (+ c d) (- c d))) (/ (pow d 4) (* (+ c d) (- c d)))))) (/ (* b c) (- (/ (pow c 4) (* (+ c d) (- c d))) (/ (pow d 4) (* (+ c d) (- c d)))))) |
(+ (* -1 (/ (* a d) (- (/ (pow c 4) (* (+ c d) (- c d))) (/ (pow d 4) (* (+ c d) (- c d)))))) (/ (* b c) (- (/ (pow c 4) (* (+ c d) (- c d))) (/ (pow d 4) (* (+ c d) (- 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) |
(* 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 c) |
(/ b c) |
(/ b c) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b c) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(/ (* b c) (- (/ (pow c 4) (* (+ c d) (- c d))) (/ (pow d 4) (* (+ c d) (- c d))))) |
(* b (+ (* -1 (/ (* a d) (* b (- (/ (pow c 4) (* (+ c d) (- c d))) (/ (pow d 4) (* (+ c d) (- c d))))))) (/ c (- (/ (pow c 4) (* (+ c d) (- c d))) (/ (pow d 4) (* (+ c d) (- c d))))))) |
(* b (+ (* -1 (/ (* a d) (* b (- (/ (pow c 4) (* (+ c d) (- c d))) (/ (pow d 4) (* (+ c d) (- c d))))))) (/ c (- (/ (pow c 4) (* (+ c d) (- c d))) (/ (pow d 4) (* (+ c d) (- c d))))))) |
(* b (+ (* -1 (/ (* a d) (* b (- (/ (pow c 4) (* (+ c d) (- c d))) (/ (pow d 4) (* (+ c d) (- c d))))))) (/ c (- (/ (pow c 4) (* (+ c d) (- c d))) (/ (pow d 4) (* (+ c d) (- 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) |
(* -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) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* b c) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(/ (* b c) (- (/ (pow c 4) (* (+ c d) (- c d))) (/ (pow d 4) (* (+ c d) (- c d))))) |
(* -1 (* b (+ (* -1 (/ c (- (/ (pow c 4) (* (+ c d) (- c d))) (/ (pow d 4) (* (+ c d) (- c d)))))) (/ (* a d) (* b (- (/ (pow c 4) (* (+ c d) (- c d))) (/ (pow d 4) (* (+ c d) (- c d))))))))) |
(* -1 (* b (+ (* -1 (/ c (- (/ (pow c 4) (* (+ c d) (- c d))) (/ (pow d 4) (* (+ c d) (- c d)))))) (/ (* a d) (* b (- (/ (pow c 4) (* (+ c d) (- c d))) (/ (pow d 4) (* (+ c d) (- c d))))))))) |
(* -1 (* b (+ (* -1 (/ c (- (/ (pow c 4) (* (+ c d) (- c d))) (/ (pow d 4) (* (+ c d) (- c d)))))) (/ (* a d) (* b (- (/ (pow c 4) (* (+ c d) (- c d))) (/ (pow d 4) (* (+ c d) (- 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) |
(+ (* -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) (+ (pow c 2) (pow d 2))) |
(+ (* -1 (/ (* a 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)) |
(/ (* b c) (- (/ (pow c 4) (* (+ c d) (- c d))) (/ (pow d 4) (* (+ c d) (- c d))))) |
(+ (* -1 (/ (* a d) (- (/ (pow c 4) (* (+ c d) (- c d))) (/ (pow d 4) (* (+ c d) (- c d)))))) (/ (* b c) (- (/ (pow c 4) (* (+ c d) (- c d))) (/ (pow d 4) (* (+ c d) (- c d)))))) |
(+ (* -1 (/ (* a d) (- (/ (pow c 4) (* (+ c d) (- c d))) (/ (pow d 4) (* (+ c d) (- c d)))))) (/ (* b c) (- (/ (pow c 4) (* (+ c d) (- c d))) (/ (pow d 4) (* (+ c d) (- c d)))))) |
(+ (* -1 (/ (* a d) (- (/ (pow c 4) (* (+ c d) (- c d))) (/ (pow d 4) (* (+ c d) (- c d)))))) (/ (* b c) (- (/ (pow c 4) (* (+ c d) (- c d))) (/ (pow d 4) (* (+ c d) (- c 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)))) |
(* 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 (+ (* -1 d) (/ (* b c) a))) |
(* a (+ (* -1 d) (/ (* b c) a))) |
(* a (+ (* -1 d) (/ (* b c) a))) |
(* -1 (* a d)) |
(* -1 (* a d)) |
(* -1 (* a d)) |
(* -1 (* a d)) |
(* -1 (/ (* a d) (- (/ (pow c 4) (* (+ c d) (- c d))) (/ (pow d 4) (* (+ c d) (- c d)))))) |
(* a (+ (* -1 (/ d (- (/ (pow c 4) (* (+ c d) (- c d))) (/ (pow d 4) (* (+ c d) (- c d)))))) (/ (* b c) (* a (- (/ (pow c 4) (* (+ c d) (- c d))) (/ (pow d 4) (* (+ c d) (- c d)))))))) |
(* a (+ (* -1 (/ d (- (/ (pow c 4) (* (+ c d) (- c d))) (/ (pow d 4) (* (+ c d) (- c d)))))) (/ (* b c) (* a (- (/ (pow c 4) (* (+ c d) (- c d))) (/ (pow d 4) (* (+ c d) (- c d)))))))) |
(* a (+ (* -1 (/ d (- (/ (pow c 4) (* (+ c d) (- c d))) (/ (pow d 4) (* (+ c d) (- c d)))))) (/ (* b c) (* a (- (/ (pow c 4) (* (+ c d) (- c d))) (/ (pow d 4) (* (+ c d) (- c 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) |
(* -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 (+ d (* -1 (/ (* b c) a))))) |
(* -1 (* a (+ d (* -1 (/ (* b c) a))))) |
(* -1 (* a (+ d (* -1 (/ (* b c) a))))) |
(* -1 (* a d)) |
(* -1 (* a d)) |
(* -1 (* a d)) |
(* -1 (* a d)) |
(* -1 (/ (* a d) (- (/ (pow c 4) (* (+ c d) (- c d))) (/ (pow d 4) (* (+ c d) (- c d)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (- (/ (pow c 4) (* (+ c d) (- c d))) (/ (pow d 4) (* (+ c d) (- c d))))))) (/ d (- (/ (pow c 4) (* (+ c d) (- c d))) (/ (pow d 4) (* (+ c d) (- c d)))))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (- (/ (pow c 4) (* (+ c d) (- c d))) (/ (pow d 4) (* (+ c d) (- c d))))))) (/ d (- (/ (pow c 4) (* (+ c d) (- c d))) (/ (pow d 4) (* (+ c d) (- c d)))))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (- (/ (pow c 4) (* (+ c d) (- c d))) (/ (pow d 4) (* (+ c d) (- c d))))))) (/ d (- (/ (pow c 4) (* (+ c d) (- c d))) (/ (pow d 4) (* (+ c d) (- 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)) |
(* 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)) |
(+ (* 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 (* 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 d) |
(* -1 d) |
(* -1 d) |
(* -1 d) |
(pow c 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(pow c 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(/ (pow d 4) (pow c 2)) |
(* (pow d 4) (+ (/ 1 (pow c 2)) (/ (pow d 2) (pow c 4)))) |
(* (pow d 4) (+ (* (pow d 2) (+ (/ 1 (pow c 4)) (/ (pow d 2) (pow c 6)))) (/ 1 (pow c 2)))) |
(* (pow d 4) (+ (* (pow d 2) (+ (* (pow d 2) (+ (/ 1 (pow c 6)) (/ (pow d 2) (pow c 8)))) (/ 1 (pow c 4)))) (/ 1 (pow c 2)))) |
(/ b c) |
(+ (* d (- (* -1 (/ a (pow c 2))) (* -1 (/ (* b (+ c (* -1 c))) (pow c 3))))) (/ b c)) |
(+ (* d (- (+ (* -1 (* d (+ (* -1 (/ (* (+ c (* -1 c)) (- (* -1 (/ a (pow c 2))) (* -1 (/ (* b (+ c (* -1 c))) (pow c 3))))) (pow c 2))) (/ (* b (- 1 (* -1 (/ (pow (+ c (* -1 c)) 2) (pow c 2))))) (pow c 3))))) (* -1 (/ a (pow c 2)))) (* -1 (/ (* b (+ c (* -1 c))) (pow c 3))))) (/ b c)) |
(+ (* d (- (+ (* -1 (/ a (pow c 2))) (* d (- (* -1 (* d (+ (* -1 (/ (* b (* (+ c (* -1 c)) (- 1 (* -1 (/ (pow (+ c (* -1 c)) 2) (pow c 2)))))) (pow c 5))) (+ (/ (* (+ c (* -1 c)) (+ (* -1 (/ (* (+ c (* -1 c)) (- (* -1 (/ a (pow c 2))) (* -1 (/ (* b (+ c (* -1 c))) (pow c 3))))) (pow c 2))) (/ (* b (- 1 (* -1 (/ (pow (+ c (* -1 c)) 2) (pow c 2))))) (pow c 3)))) (pow c 2)) (/ (* (- 1 (* -1 (/ (pow (+ c (* -1 c)) 2) (pow c 2)))) (- (* -1 (/ a (pow c 2))) (* -1 (/ (* b (+ c (* -1 c))) (pow c 3))))) (pow c 2)))))) (+ (* -1 (/ (* (+ c (* -1 c)) (- (* -1 (/ a (pow c 2))) (* -1 (/ (* b (+ c (* -1 c))) (pow c 3))))) (pow c 2))) (/ (* b (- 1 (* -1 (/ (pow (+ c (* -1 c)) 2) (pow c 2))))) (pow c 3)))))) (* -1 (/ (* b (+ c (* -1 c))) (pow c 3))))) (/ b c)) |
1 |
(+ 1 (/ (pow d 2) (pow c 2))) |
(+ 1 (* (pow d 2) (+ (/ 1 (pow c 2)) (/ (pow d 2) (pow c 4))))) |
(+ 1 (* (pow d 2) (+ (* (pow d 2) (+ (/ 1 (pow c 4)) (/ (pow d 2) (pow c 6)))) (/ 1 (pow c 2))))) |
(pow c 2) |
(+ (* -1 (* d (+ c (* -1 c)))) (pow c 2)) |
(+ (* d (- (* d (- 1 (* -1 (/ (pow (+ c (* -1 c)) 2) (pow c 2))))) (+ c (* -1 c)))) (pow c 2)) |
(+ (* d (- (* d (- (+ 1 (* -1 (/ (* d (* (+ c (* -1 c)) (- 1 (* -1 (/ (pow (+ c (* -1 c)) 2) (pow c 2)))))) (pow c 2)))) (* -1 (/ (pow (+ c (* -1 c)) 2) (pow c 2))))) (+ c (* -1 c)))) (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)) |
(* 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)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(* -1 (* a d)) |
(* d (+ (* -1 a) (/ (* b c) d))) |
(* d (+ (* -1 a) (/ (* b c) d))) |
(* d (+ (* -1 a) (/ (* b c) d))) |
(* -1 (* a d)) |
(* -1 (* a d)) |
(* -1 (* a d)) |
(* -1 (* a d)) |
(* -1 d) |
(* -1 d) |
(* -1 d) |
(* -1 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)))) |
(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 (pow d 2)) |
(* (pow d 2) (- (* -1 (/ (+ c (* -1 c)) d)) 1)) |
(* (pow d 2) (- (* -1 (/ (+ (pow c 2) (pow (+ c (* -1 c)) 2)) (pow d 2))) (+ 1 (+ (* -1 (/ c d)) (/ c d))))) |
(* (pow d 2) (- (* -1 (/ (+ (* (+ c (* -1 c)) (+ (pow c 2) (pow (+ c (* -1 c)) 2))) (* (pow c 2) (+ c (* -1 c)))) (pow d 3))) (+ 1 (+ (* -1 (/ c d)) (+ (/ c d) (+ (/ (pow c 2) (pow d 2)) (/ (pow (+ c (* -1 c)) 2) (pow d 2)))))))) |
(* -1 (/ a d)) |
(/ (- (+ (* -1 a) (/ (* b c) d)) (* -1 (/ (* a (+ c (* -1 c))) d))) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (+ (* -1 (* a (+ (pow c 2) (pow (+ c (* -1 c)) 2)))) (* (+ c (* -1 c)) (- (* b c) (* -1 (* a (+ c (* -1 c))))))) (pow d 2))) (/ (* b c) d))) (* -1 (/ (* a (+ c (* -1 c))) d))) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (+ (* -1 (* a (+ (* (+ c (* -1 c)) (+ (pow c 2) (pow (+ c (* -1 c)) 2))) (* (pow c 2) (+ c (* -1 c)))))) (+ (* -1 (* (+ c (* -1 c)) (+ (* -1 (* a (+ (pow c 2) (pow (+ c (* -1 c)) 2)))) (* (+ c (* -1 c)) (- (* b c) (* -1 (* a (+ c (* -1 c))))))))) (* (+ (pow c 2) (pow (+ c (* -1 c)) 2)) (- (* b c) (* -1 (* a (+ c (* -1 c)))))))) (pow d 3))) (/ (* b c) d))) (+ (* -1 (/ (* a (+ c (* -1 c))) d)) (+ (* -1 (/ (* a (+ (pow c 2) (pow (+ c (* -1 c)) 2))) (pow d 2))) (/ (* (+ c (* -1 c)) (- (* b c) (* -1 (* a (+ c (* -1 c)))))) (pow d 2))))) d) |
(* -1 (/ (pow c 2) (pow d 2))) |
(/ (+ (* -1 (/ (* (pow c 2) (+ c (* -1 c))) d)) (* -1 (pow c 2))) (pow d 2)) |
(/ (- (+ (* -1 (/ (+ (* (pow c 2) (pow (+ c (* -1 c)) 2)) (pow c 4)) (pow d 2))) (* -1 (pow c 2))) (/ (* (pow c 2) (+ c (* -1 c))) d)) (pow d 2)) |
(/ (- (+ (* -1 (/ (+ (* (+ c (* -1 c)) (+ (* (pow c 2) (pow (+ c (* -1 c)) 2)) (pow c 4))) (* (pow c 4) (+ c (* -1 c)))) (pow d 3))) (* -1 (pow c 2))) (+ (/ (* (pow c 2) (+ c (* -1 c))) d) (+ (/ (* (pow c 2) (pow (+ c (* -1 c)) 2)) (pow d 2)) (/ (pow c 4) (pow d 2))))) (pow d 2)) |
(pow d 2) |
(* (pow d 2) (+ 1 (+ (* -1 (/ c d)) (/ c d)))) |
(* (pow d 2) (+ 1 (+ (* -1 (/ c d)) (+ (/ c d) (+ (/ (pow c 2) (pow d 2)) (/ (pow (+ c (* -1 c)) 2) (pow d 2))))))) |
(* (pow d 2) (+ 1 (+ (* -1 (/ c d)) (+ (/ c d) (+ (/ (* (+ c (* -1 c)) (+ (pow c 2) (pow (+ c (* -1 c)) 2))) (pow d 3)) (+ (/ (* (pow c 2) (+ c (* -1 c))) (pow d 3)) (+ (/ (pow c 2) (pow d 2)) (/ (pow (+ c (* -1 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)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(* -1 (* a d)) |
(* -1 (* d (+ a (* -1 (/ (* b c) d))))) |
(* -1 (* d (+ a (* -1 (/ (* b c) d))))) |
(* -1 (* d (+ a (* -1 (/ (* b c) d))))) |
(* -1 (* a d)) |
(* -1 (* a d)) |
(* -1 (* a d)) |
(* -1 (* a d)) |
(* -1 d) |
(* -1 d) |
(* -1 d) |
(* -1 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)))) |
(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 (pow d 2)) |
(* (pow d 2) (- (+ (* -1 (/ c d)) (/ c d)) 1)) |
(* (pow d 2) (- (* -1 (/ (- (+ (/ (pow c 2) d) (/ (pow (+ c (* -1 c)) 2) d)) (+ c (* -1 c))) d)) 1)) |
(* (pow d 2) (- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ c (* -1 c)) (+ (pow c 2) (pow (+ c (* -1 c)) 2))) d) (/ (* (pow c 2) (+ c (* -1 c))) d)) (+ (pow c 2) (pow (+ c (* -1 c)) 2))) d)) (+ c (* -1 c))) d)) 1)) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (- (* b c) (* a (+ c (* -1 c)))) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (- (+ (* b c) (+ (/ (* a (+ (pow c 2) (pow (+ c (* -1 c)) 2))) d) (/ (* (+ c (* -1 c)) (- (* b c) (* a (+ c (* -1 c))))) d))) (* a (+ c (* -1 c)))) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (+ c (* -1 c)) (+ (* a (+ (pow c 2) (pow (+ c (* -1 c)) 2))) (* (+ c (* -1 c)) (- (* b c) (* a (+ c (* -1 c))))))) d)) (+ (/ (* a (+ (* (+ c (* -1 c)) (+ (pow c 2) (pow (+ c (* -1 c)) 2))) (* (pow c 2) (+ c (* -1 c))))) d) (/ (* (+ (pow c 2) (pow (+ c (* -1 c)) 2)) (- (* b c) (* a (+ c (* -1 c))))) d))) (+ (* a (+ (pow c 2) (pow (+ c (* -1 c)) 2))) (* (+ c (* -1 c)) (- (* b c) (* a (+ c (* -1 c))))))) d)) (* b c)) (* a (+ c (* -1 c)))) d))) d)) |
(* -1 (/ (pow c 2) (pow d 2))) |
(/ (+ (* -1 (pow c 2)) (/ (* (pow c 2) (+ c (* -1 c))) d)) (pow d 2)) |
(/ (+ (* -1 (/ (- (+ (/ (* (pow c 2) (pow (+ c (* -1 c)) 2)) d) (/ (pow c 4) d)) (* (pow c 2) (+ c (* -1 c)))) d)) (* -1 (pow c 2))) (pow d 2)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ c (* -1 c)) (+ (* (pow c 2) (pow (+ c (* -1 c)) 2)) (pow c 4))) d) (/ (* (pow c 4) (+ c (* -1 c))) d)) (+ (* (pow c 2) (pow (+ c (* -1 c)) 2)) (pow c 4))) d)) (* (pow c 2) (+ c (* -1 c)))) d)) (* -1 (pow c 2))) (pow d 2)) |
(pow d 2) |
(* (pow d 2) (+ 1 (* -1 (/ (+ c (* -1 c)) d)))) |
(* (pow d 2) (+ 1 (* -1 (/ (+ c (+ (* -1 c) (* -1 (/ (+ (pow c 2) (pow (+ c (* -1 c)) 2)) d)))) d)))) |
(* (pow d 2) (+ 1 (* -1 (/ (+ c (+ (* -1 c) (* -1 (/ (+ (* -1 (/ (+ (* (+ c (* -1 c)) (+ (pow c 2) (pow (+ c (* -1 c)) 2))) (* (pow c 2) (+ c (* -1 c)))) d)) (+ (pow c 2) (pow (+ c (* -1 c)) 2))) d)))) d)))) |
| Outputs |
|---|
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(fma.f64 (/.f64 b d) (/.f64 c d) (/.f64 (neg.f64 a) d)) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(fma.f64 (fma.f64 a (/.f64 c (pow.f64 d #s(literal 3 binary64))) (/.f64 b (*.f64 d d))) c (/.f64 (neg.f64 a) d)) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (/.f64 c (pow.f64 d #s(literal 4 binary64))) (/.f64 a (pow.f64 d #s(literal 3 binary64)))) c (/.f64 b (*.f64 d d))) c (/.f64 (neg.f64 a) d)) |
(* -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)) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(fma.f64 (/.f64 b d) (/.f64 c d) (/.f64 (neg.f64 a) d)) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(fma.f64 (fma.f64 a (/.f64 c (pow.f64 d #s(literal 3 binary64))) (/.f64 b (*.f64 d d))) c (/.f64 (neg.f64 a) d)) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (/.f64 c (pow.f64 d #s(literal 4 binary64))) (/.f64 a (pow.f64 d #s(literal 3 binary64)))) c (/.f64 b (*.f64 d d))) c (/.f64 (neg.f64 a) d)) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(fma.f64 (/.f64 b d) (/.f64 c d) (/.f64 (neg.f64 a) d)) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(fma.f64 (fma.f64 a (/.f64 c (pow.f64 d #s(literal 3 binary64))) (/.f64 b (*.f64 d d))) c (/.f64 (neg.f64 a) d)) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (/.f64 c (pow.f64 d #s(literal 4 binary64))) (/.f64 a (pow.f64 d #s(literal 3 binary64)))) c (/.f64 b (*.f64 d d))) c (/.f64 (neg.f64 a) d)) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(fma.f64 (/.f64 b d) (/.f64 c d) (/.f64 (neg.f64 a) d)) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(fma.f64 (fma.f64 a (/.f64 c (pow.f64 d #s(literal 3 binary64))) (/.f64 b (*.f64 d d))) c (/.f64 (neg.f64 a) d)) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (/.f64 c (pow.f64 d #s(literal 4 binary64))) (/.f64 a (pow.f64 d #s(literal 3 binary64)))) c (/.f64 b (*.f64 d d))) c (/.f64 (neg.f64 a) d)) |
(* -1 (* a d)) |
(*.f64 (neg.f64 a) d) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 (neg.f64 a) d (*.f64 c b)) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 (neg.f64 a) d (*.f64 c b)) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 (neg.f64 a) d (*.f64 c b)) |
(pow c 2) |
(*.f64 c c) |
(pow c 2) |
(*.f64 c c) |
(pow c 2) |
(*.f64 c c) |
(pow c 2) |
(*.f64 c c) |
(pow d 2) |
(*.f64 d d) |
(+ (pow c 2) (pow d 2)) |
(hypot.f64 c d) |
(+ (pow c 2) (pow d 2)) |
(hypot.f64 c d) |
(+ (pow c 2) (pow d 2)) |
(hypot.f64 c d) |
(pow d 2) |
(*.f64 d d) |
(+ (pow c 2) (pow d 2)) |
(hypot.f64 c d) |
(+ (pow c 2) (pow d 2)) |
(hypot.f64 c d) |
(+ (pow c 2) (pow d 2)) |
(hypot.f64 c d) |
(* -1 (pow d 2)) |
(*.f64 (neg.f64 d) d) |
(+ (* -1 (* c (+ d (* -1 d)))) (* -1 (pow d 2))) |
(*.f64 (neg.f64 d) d) |
(+ (* -1 (pow d 2)) (* c (- (* -1 (* c (+ 1 (/ (pow (+ d (* -1 d)) 2) (pow d 2))))) (+ d (* -1 d))))) |
(fma.f64 (neg.f64 d) d (fma.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 0 binary64) (*.f64 d d)) c c)) c #s(literal 0 binary64))) |
(+ (* -1 (pow d 2)) (* c (- (* c (- (* -1 (/ (* c (* (+ 1 (/ (pow (+ d (* -1 d)) 2) (pow d 2))) (+ d (* -1 d)))) (pow d 2))) (+ 1 (/ (pow (+ d (* -1 d)) 2) (pow d 2))))) (+ d (* -1 d))))) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 c (/.f64 (fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) (*.f64 d d)) #s(literal 0 binary64)) (*.f64 d d)) (+.f64 (/.f64 #s(literal 0 binary64) (*.f64 d d)) #s(literal 1 binary64)))) c #s(literal 0 binary64)) c (*.f64 (neg.f64 d) d)) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(+ (* -1 (/ a d)) (* c (- (/ b (pow d 2)) (* -1 (/ (* a (+ d (* -1 d))) (pow d 3)))))) |
(fma.f64 (-.f64 (/.f64 b (*.f64 d d)) (*.f64 a (/.f64 #s(literal 0 binary64) (pow.f64 d #s(literal 3 binary64))))) c (/.f64 (neg.f64 a) d)) |
(+ (* -1 (/ a d)) (* c (- (+ (* -1 (* c (+ (* -1 (/ (* a (+ 1 (/ (pow (+ d (* -1 d)) 2) (pow d 2)))) (pow d 3))) (/ (* (+ d (* -1 d)) (- (/ b (pow d 2)) (* -1 (/ (* a (+ d (* -1 d))) (pow d 3))))) (pow d 2))))) (/ b (pow d 2))) (* -1 (/ (* a (+ d (* -1 d))) (pow d 3)))))) |
(fma.f64 (fma.f64 (neg.f64 c) (fma.f64 #s(literal 0 binary64) (/.f64 (-.f64 (/.f64 b (*.f64 d d)) (*.f64 a (/.f64 #s(literal 0 binary64) (pow.f64 d #s(literal 3 binary64))))) (*.f64 d d)) (/.f64 (fma.f64 (/.f64 #s(literal 0 binary64) (*.f64 d d)) a a) (neg.f64 (pow.f64 d #s(literal 3 binary64))))) (-.f64 (/.f64 b (*.f64 d d)) (*.f64 a (/.f64 #s(literal 0 binary64) (pow.f64 d #s(literal 3 binary64)))))) c (/.f64 (neg.f64 a) d)) |
(+ (* -1 (/ a d)) (* c (- (+ (* c (- (* -1 (* c (+ (* -1 (/ (* a (* (+ 1 (/ (pow (+ d (* -1 d)) 2) (pow d 2))) (+ d (* -1 d)))) (pow d 5))) (+ (* -1 (/ (* (+ d (* -1 d)) (+ (* -1 (/ (* a (+ 1 (/ (pow (+ d (* -1 d)) 2) (pow d 2)))) (pow d 3))) (/ (* (+ d (* -1 d)) (- (/ b (pow d 2)) (* -1 (/ (* a (+ d (* -1 d))) (pow d 3))))) (pow d 2)))) (pow d 2))) (/ (* (+ 1 (/ (pow (+ d (* -1 d)) 2) (pow d 2))) (- (/ b (pow d 2)) (* -1 (/ (* a (+ d (* -1 d))) (pow d 3))))) (pow d 2)))))) (+ (* -1 (/ (* a (+ 1 (/ (pow (+ d (* -1 d)) 2) (pow d 2)))) (pow d 3))) (/ (* (+ d (* -1 d)) (- (/ b (pow d 2)) (* -1 (/ (* a (+ d (* -1 d))) (pow d 3))))) (pow d 2))))) (/ b (pow d 2))) (* -1 (/ (* a (+ d (* -1 d))) (pow d 3)))))) |
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(/ (+ (* -1 (/ (- (+ (/ (* (pow c 2) (pow (+ c (* -1 c)) 2)) d) (/ (pow c 4) d)) (* (pow c 2) (+ c (* -1 c)))) d)) (* -1 (pow c 2))) (pow d 2)) |
(/.f64 (neg.f64 (fma.f64 c c (/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) d) (/.f64 #s(literal 0 binary64) d)) #s(literal 0 binary64)) d))) (*.f64 d d)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ c (* -1 c)) (+ (* (pow c 2) (pow (+ c (* -1 c)) 2)) (pow c 4))) d) (/ (* (pow c 4) (+ c (* -1 c))) d)) (+ (* (pow c 2) (pow (+ c (* -1 c)) 2)) (pow c 4))) d)) (* (pow c 2) (+ c (* -1 c)))) d)) (* -1 (pow c 2))) (pow d 2)) |
(/.f64 (neg.f64 (fma.f64 c c (/.f64 (-.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 c #s(literal 4 binary64)) (/.f64 #s(literal 0 binary64) d) (/.f64 (fma.f64 #s(literal 0 binary64) (pow.f64 c #s(literal 4 binary64)) #s(literal 0 binary64)) d)) (+.f64 #s(literal 0 binary64) (pow.f64 c #s(literal 4 binary64)))) (neg.f64 d)) #s(literal 0 binary64)) d))) (*.f64 d d)) |
(pow d 2) |
(*.f64 d d) |
(* (pow d 2) (+ 1 (* -1 (/ (+ c (* -1 c)) d)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) d)) (*.f64 d d)) |
(* (pow d 2) (+ 1 (* -1 (/ (+ c (+ (* -1 c) (* -1 (/ (+ (pow c 2) (pow (+ c (* -1 c)) 2)) d)))) d)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (neg.f64 c) c #s(literal 0 binary64)) d) d)) (*.f64 d d)) |
(* (pow d 2) (+ 1 (* -1 (/ (+ c (+ (* -1 c) (* -1 (/ (+ (* -1 (/ (+ (* (+ c (* -1 c)) (+ (pow c 2) (pow (+ c (* -1 c)) 2))) (* (pow c 2) (+ c (* -1 c)))) d)) (+ (pow c 2) (pow (+ c (* -1 c)) 2))) d)))) d)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) d) (fma.f64 c c #s(literal 0 binary64))) d) d)) (*.f64 d d)) |
| 5 164× | lower-/.f32 |
| 5 154× | lower-/.f64 |
| 3 738× | lower-*.f32 |
| 3 726× | lower-*.f64 |
| 2 942× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 201 |
| 0 | 61 | 154 |
| 1 | 257 | 154 |
| 2 | 1970 | 154 |
| 0 | 8237 | 130 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 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 b c)) |
(/.f64 b c) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 (fma.f64 c b (*.f64 (neg.f64 d) a)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(fma.f64 c b (*.f64 (neg.f64 d) a)) |
(*.f64 (neg.f64 d) a) |
(neg.f64 d) |
(*.f64 c c) |
#s(approx (+ (* c c) (* d d)) (*.f64 d d)) |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (-.f64 c d) (+.f64 d c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 (*.f64 c c) (/.f64 (*.f64 c c) (*.f64 (-.f64 c d) (+.f64 d c))) (neg.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (-.f64 c d) (+.f64 d c)))))) |
(/.f64 (*.f64 c c) (*.f64 (-.f64 c d) (+.f64 d c))) |
(fma.f64 (*.f64 c c) (/.f64 (*.f64 c c) (*.f64 (-.f64 c d) (+.f64 d c))) (neg.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (-.f64 c d) (+.f64 d c))))) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (hypot.f64 d c) (-.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (pow.f64 (*.f64 d a) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 d a (*.f64 c b)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (hypot.f64 d c) (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 c b) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (hypot.f64 d c) (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (hypot.f64 (*.f64 c b) (*.f64 d a)) (*.f64 (*.f64 (*.f64 c b) a) (neg.f64 d))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 a) d (*.f64 c b)) (/.f64 (-.f64 (pow.f64 c #s(literal 8 binary64)) (pow.f64 d #s(literal 8 binary64))) (pow.f64 (*.f64 (+.f64 d c) (-.f64 c d)) #s(literal 2 binary64)))) (/.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (neg.f64 (pow.f64 d #s(literal 4 binary64)))) (*.f64 (+.f64 d c) (-.f64 c d)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 a) d (*.f64 c b)) (fma.f64 (pow.f64 (*.f64 (*.f64 (+.f64 d c) (-.f64 c d)) (pow.f64 d #s(literal -4 binary64))) #s(literal -3 binary64)) #s(literal -1 binary64) (pow.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 (+.f64 d c) (-.f64 c d))) #s(literal 3 binary64)))) (+.f64 (/.f64 (-.f64 (pow.f64 d #s(literal 8 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) (neg.f64 (pow.f64 d #s(literal 4 binary64))))) (pow.f64 (*.f64 (+.f64 d c) (-.f64 c d)) #s(literal 2 binary64))) (pow.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 (+.f64 d c) (-.f64 c d))) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 a) d (*.f64 c b)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 (+.f64 d c) (-.f64 c d))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 a) d (*.f64 c b)) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (fma.f64 d d (*.f64 (neg.f64 c) c))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 a) d (*.f64 c b)) (hypot.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64)))) (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 a) d (*.f64 c b)) (hypot.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64)))) (-.f64 (hypot.f64 (*.f64 d d) (*.f64 c c)) (pow.f64 (*.f64 d c) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (hypot.f64 d c) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (neg.f64 a) d (*.f64 c b)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (hypot.f64 d c) #s(literal -1 binary64)) (fma.f64 (neg.f64 a) d (*.f64 c b))) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 a) d (*.f64 c b)) (hypot.f64 d c))) |
(*.f64 (neg.f64 (fma.f64 (neg.f64 a) d (*.f64 c b))) (pow.f64 (neg.f64 (hypot.f64 d c)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (neg.f64 a) d (*.f64 c b)) (pow.f64 (hypot.f64 d c) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 (hypot.f64 d c) (fma.f64 (neg.f64 a) d (*.f64 c b))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (hypot.f64 d c) (fma.f64 (neg.f64 a) d (*.f64 c b))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (pow.f64 (*.f64 d a) #s(literal 2 binary64))) (pow.f64 (hypot.f64 d c) #s(literal -1 binary64)))) (neg.f64 (fma.f64 d a (*.f64 c b)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64))) (pow.f64 (hypot.f64 d c) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 c b) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64))) (pow.f64 (hypot.f64 d c) #s(literal -1 binary64)))) (neg.f64 (-.f64 (hypot.f64 (*.f64 c b) (*.f64 d a)) (*.f64 (*.f64 (*.f64 c b) a) (neg.f64 d))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c (/.f64 b (hypot.f64 d c))) #s(literal 2 binary64)) (pow.f64 (*.f64 d (/.f64 a (hypot.f64 d c))) #s(literal 2 binary64)))) (neg.f64 (fma.f64 c (/.f64 b (hypot.f64 d c)) (*.f64 d (/.f64 a (hypot.f64 d c)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c (/.f64 b (hypot.f64 d c))) #s(literal 3 binary64)) (pow.f64 (*.f64 d (/.f64 a (hypot.f64 d c))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 c (/.f64 b (hypot.f64 d c))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 d (/.f64 a (hypot.f64 d c))) #s(literal 2 binary64)) (*.f64 (*.f64 c (/.f64 b (hypot.f64 d c))) (*.f64 d (/.f64 a (hypot.f64 d c)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 c b) (hypot.f64 d c)) (*.f64 (hypot.f64 d c) (*.f64 d a)))) (neg.f64 (pow.f64 (hypot.f64 d c) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (neg.f64 a) d (*.f64 c b)) #s(literal 1 binary64))) (neg.f64 (hypot.f64 d c))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 a) d (*.f64 c b))))) (neg.f64 (neg.f64 (neg.f64 (hypot.f64 d c))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (pow.f64 (*.f64 d a) #s(literal 2 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 d a (*.f64 c b)) (hypot.f64 d c)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 c b) #s(literal 2 binary64))) (hypot.f64 d c)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (hypot.f64 (*.f64 c b) (*.f64 d a)) (*.f64 (*.f64 (*.f64 c b) a) (neg.f64 d))) (hypot.f64 d c)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 c b)) (/.f64 (hypot.f64 d c) (*.f64 d a))) (*.f64 (neg.f64 (hypot.f64 d c)) #s(literal 1 binary64))) (*.f64 (neg.f64 (hypot.f64 d c)) (/.f64 (hypot.f64 d c) (*.f64 d a)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 c b)) (neg.f64 (hypot.f64 d c))) (*.f64 (neg.f64 (hypot.f64 d c)) (*.f64 (neg.f64 d) a))) (*.f64 (neg.f64 (hypot.f64 d c)) (neg.f64 (hypot.f64 d c)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 c b)) (hypot.f64 d c)) (*.f64 (neg.f64 (hypot.f64 d c)) (*.f64 d a))) (*.f64 (neg.f64 (hypot.f64 d c)) (hypot.f64 d c))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 d c) (*.f64 d a))) (*.f64 (/.f64 (hypot.f64 d c) (*.f64 c b)) #s(literal 1 binary64))) (*.f64 (/.f64 (hypot.f64 d c) (*.f64 c b)) (/.f64 (hypot.f64 d c) (*.f64 d a)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 d c))) (*.f64 (/.f64 (hypot.f64 d c) (*.f64 c b)) (*.f64 (neg.f64 d) a))) (*.f64 (/.f64 (hypot.f64 d c) (*.f64 c b)) (neg.f64 (hypot.f64 d c)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (hypot.f64 d c)) (*.f64 (/.f64 (hypot.f64 d c) (*.f64 c b)) (*.f64 d a))) (*.f64 (/.f64 (hypot.f64 d c) (*.f64 c b)) (hypot.f64 d c))) |
(/.f64 (-.f64 (*.f64 (*.f64 c b) (/.f64 (hypot.f64 d c) (*.f64 d a))) (*.f64 (hypot.f64 d c) #s(literal 1 binary64))) (*.f64 (hypot.f64 d c) (/.f64 (hypot.f64 d c) (*.f64 d a)))) |
(/.f64 (-.f64 (*.f64 (*.f64 c b) (neg.f64 (hypot.f64 d c))) (*.f64 (hypot.f64 d c) (*.f64 (neg.f64 d) a))) (*.f64 (hypot.f64 d c) (neg.f64 (hypot.f64 d c)))) |
(/.f64 (-.f64 (neg.f64 (*.f64 c b)) (*.f64 (neg.f64 d) a)) (neg.f64 (hypot.f64 d c))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (pow.f64 (*.f64 d a) #s(literal 2 binary64))) (pow.f64 (hypot.f64 d c) #s(literal -1 binary64))) (fma.f64 d a (*.f64 c b))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64))) (pow.f64 (hypot.f64 d c) #s(literal -1 binary64))) (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 c b) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64))) (pow.f64 (hypot.f64 d c) #s(literal -1 binary64))) (-.f64 (hypot.f64 (*.f64 c b) (*.f64 d a)) (*.f64 (*.f64 (*.f64 c b) a) (neg.f64 d)))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 a) d (*.f64 c b)) #s(literal 1 binary64)) (hypot.f64 d c)) |
(/.f64 (-.f64 (pow.f64 (*.f64 c (/.f64 b (hypot.f64 d c))) #s(literal 2 binary64)) (pow.f64 (*.f64 d (/.f64 a (hypot.f64 d c))) #s(literal 2 binary64))) (fma.f64 c (/.f64 b (hypot.f64 d c)) (*.f64 d (/.f64 a (hypot.f64 d c))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 c (/.f64 b (hypot.f64 d c))) #s(literal 3 binary64)) (pow.f64 (*.f64 d (/.f64 a (hypot.f64 d c))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 c (/.f64 b (hypot.f64 d c))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 d (/.f64 a (hypot.f64 d c))) #s(literal 2 binary64)) (*.f64 (*.f64 c (/.f64 b (hypot.f64 d c))) (*.f64 d (/.f64 a (hypot.f64 d c))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (pow.f64 (*.f64 d a) #s(literal 2 binary64)))) (neg.f64 (*.f64 (hypot.f64 d c) (fma.f64 d a (*.f64 c b))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64)))) (neg.f64 (*.f64 (hypot.f64 d c) (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 c b) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64)))) (neg.f64 (*.f64 (hypot.f64 d c) (-.f64 (hypot.f64 (*.f64 c b) (*.f64 d a)) (*.f64 (*.f64 (*.f64 c b) a) (neg.f64 d)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 a) d (*.f64 c b)))) (neg.f64 (neg.f64 (hypot.f64 d c)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (pow.f64 (*.f64 d a) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 d a (*.f64 c b)) (hypot.f64 d c))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 c b) #s(literal 2 binary64))) (hypot.f64 d c))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (hypot.f64 (*.f64 c b) (*.f64 d a)) (*.f64 (*.f64 (*.f64 c b) a) (neg.f64 d))) (hypot.f64 d c))) |
(/.f64 (-.f64 (*.f64 (*.f64 c b) (hypot.f64 d c)) (*.f64 (hypot.f64 d c) (*.f64 d a))) (pow.f64 (hypot.f64 d c) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (pow.f64 (*.f64 d a) #s(literal 2 binary64))) (*.f64 (hypot.f64 d c) (fma.f64 d a (*.f64 c b)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (hypot.f64 d c) (fma.f64 (neg.f64 a) d (*.f64 c b))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (hypot.f64 d c) (fma.f64 (neg.f64 a) d (*.f64 c b))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (hypot.f64 d c) (fma.f64 (neg.f64 a) d (*.f64 c b)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (hypot.f64 d c) (fma.f64 (neg.f64 a) d (*.f64 c b))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 d c) (fma.f64 (neg.f64 a) d (*.f64 c b)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64))) (*.f64 (hypot.f64 d c) (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 c b) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64))) (*.f64 (hypot.f64 d c) (-.f64 (hypot.f64 (*.f64 c b) (*.f64 d a)) (*.f64 (*.f64 (*.f64 c b) a) (neg.f64 d))))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 a) d (*.f64 c b))) (neg.f64 (hypot.f64 d c))) |
(/.f64 (fma.f64 (neg.f64 a) d (*.f64 c b)) (hypot.f64 d c)) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (neg.f64 a) d (*.f64 c b))) (hypot.f64 d c))) |
(neg.f64 (/.f64 (fma.f64 (neg.f64 a) d (*.f64 c b)) (neg.f64 (hypot.f64 d c)))) |
(fma.f64 (/.f64 (*.f64 c b) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 (+.f64 d c) (-.f64 c d)) (neg.f64 (*.f64 d (/.f64 a (hypot.f64 d c))))) |
(fma.f64 (/.f64 (*.f64 c b) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (fma.f64 d d (*.f64 (neg.f64 c) c)) (neg.f64 (*.f64 d (/.f64 a (hypot.f64 d c))))) |
(fma.f64 (/.f64 (*.f64 c b) (hypot.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64)))) (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))) (neg.f64 (*.f64 d (/.f64 a (hypot.f64 d c))))) |
(fma.f64 (/.f64 (*.f64 c b) (hypot.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64)))) (-.f64 (hypot.f64 (*.f64 d d) (*.f64 c c)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (neg.f64 (*.f64 d (/.f64 a (hypot.f64 d c))))) |
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(/.f64 (*.f64 (fma.f64 (neg.f64 a) d (*.f64 c b)) #s(literal 1 binary64)) (hypot.f64 d c)) |
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(/.f64 (fma.f64 (neg.f64 a) d (*.f64 c b)) (hypot.f64 d c)) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (neg.f64 a) d (*.f64 c b))) (hypot.f64 d c))) |
(neg.f64 (/.f64 (fma.f64 (neg.f64 a) d (*.f64 c b)) (neg.f64 (hypot.f64 d c)))) |
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(fma.f64 (*.f64 c b) (pow.f64 (hypot.f64 d c) #s(literal -1 binary64)) (neg.f64 (*.f64 d (/.f64 a (hypot.f64 d c))))) |
(fma.f64 c (/.f64 b (hypot.f64 d c)) (neg.f64 (*.f64 d (/.f64 a (hypot.f64 d c))))) |
(fma.f64 b (/.f64 c (hypot.f64 d c)) (neg.f64 (*.f64 d (/.f64 a (hypot.f64 d c))))) |
(-.f64 (*.f64 c (/.f64 b (hypot.f64 d c))) (*.f64 d (/.f64 a (hypot.f64 d c)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 d c) (fma.f64 (neg.f64 a) d (*.f64 c b)))) #s(literal -1 binary64))) |
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(*.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64))) (pow.f64 (-.f64 (hypot.f64 (*.f64 c b) (*.f64 d a)) (*.f64 (*.f64 (*.f64 c b) a) (neg.f64 d))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 d a (*.f64 c b)) (-.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (pow.f64 (*.f64 d a) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 c b) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (hypot.f64 (*.f64 c b) (*.f64 d a)) (*.f64 (*.f64 (*.f64 c b) a) (neg.f64 d))) (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 d a) #s(literal 2 binary64)) (pow.f64 (*.f64 c b) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (neg.f64 d) a) (*.f64 c b)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (pow.f64 (*.f64 d a) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 d a (*.f64 c b))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 c b) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (-.f64 (hypot.f64 (*.f64 c b) (*.f64 d a)) (*.f64 (*.f64 (*.f64 c b) a) (neg.f64 d)))))) |
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(/.f64 (-.f64 (pow.f64 (*.f64 d a) #s(literal 2 binary64)) (pow.f64 (*.f64 c b) #s(literal 2 binary64))) (-.f64 (*.f64 (neg.f64 d) a) (*.f64 c b))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (pow.f64 (*.f64 d a) #s(literal 2 binary64)))) (neg.f64 (fma.f64 d a (*.f64 c b)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 d a) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 c b) a) (neg.f64 d)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 c b) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64)))) (neg.f64 (-.f64 (hypot.f64 (*.f64 c b) (*.f64 d a)) (*.f64 (*.f64 (*.f64 c b) a) (neg.f64 d))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (pow.f64 (*.f64 d a) #s(literal 2 binary64))) (fma.f64 d a (*.f64 c b))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 d a (*.f64 c b)) (-.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (pow.f64 (*.f64 d a) #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 c b) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (hypot.f64 (*.f64 c b) (*.f64 d a)) (*.f64 (*.f64 (*.f64 c b) a) (neg.f64 d))) (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d a (*.f64 c b)) (-.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (pow.f64 (*.f64 d a) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 c b) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (hypot.f64 (*.f64 c b) (*.f64 d a)) (*.f64 (*.f64 (*.f64 c b) a) (neg.f64 d))) (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 d a) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 c b) a) (neg.f64 d))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64))) (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 c b) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64))) (-.f64 (hypot.f64 (*.f64 c b) (*.f64 d a)) (*.f64 (*.f64 (*.f64 c b) a) (neg.f64 d)))) |
(fma.f64 (*.f64 a #s(literal -1 binary64)) d (*.f64 c b)) |
(fma.f64 (neg.f64 a) d (*.f64 c b)) |
(fma.f64 #s(literal -1 binary64) (*.f64 d a) (*.f64 c b)) |
(fma.f64 (neg.f64 d) a (*.f64 c b)) |
(fma.f64 d (neg.f64 a) (*.f64 c b)) |
(fma.f64 a (neg.f64 d) (*.f64 c b)) |
(fma.f64 c b (*.f64 (neg.f64 d) a)) |
(fma.f64 b c (*.f64 (neg.f64 d) a)) |
(-.f64 (/.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (fma.f64 d a (*.f64 c b))) (/.f64 (pow.f64 (*.f64 d a) #s(literal 2 binary64)) (fma.f64 d a (*.f64 c b)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 c b) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 d a) #s(literal 3 binary64)) (fma.f64 (*.f64 d a) (fma.f64 d a (*.f64 c b)) (pow.f64 (*.f64 c b) #s(literal 2 binary64))))) |
(-.f64 (*.f64 c b) (*.f64 d a)) |
(+.f64 (*.f64 (neg.f64 d) a) (*.f64 c b)) |
(+.f64 (*.f64 c b) (*.f64 (neg.f64 d) a)) |
(*.f64 (*.f64 a #s(literal -1 binary64)) d) |
(*.f64 (neg.f64 a) d) |
(*.f64 #s(literal -1 binary64) (*.f64 d a)) |
(*.f64 (neg.f64 d) a) |
(*.f64 d (neg.f64 a)) |
(*.f64 a (neg.f64 d)) |
(neg.f64 (*.f64 d a)) |
(-.f64 #s(literal 0 binary64) (*.f64 d a)) |
(*.f64 #s(literal -1 binary64) d) |
(*.f64 d #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 d d))) (neg.f64 (+.f64 #s(literal 0 binary64) d))) |
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(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 d d)) (+.f64 #s(literal 0 binary64) d)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 d #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 d d (*.f64 #s(literal 0 binary64) d)))) |
(neg.f64 d) |
(-.f64 #s(literal 0 binary64) d) |
(+.f64 #s(literal 0 binary64) (neg.f64 d)) |
(*.f64 (exp.f64 (log.f64 c)) (exp.f64 (log.f64 c))) |
(*.f64 c c) |
(pow.f64 (exp.f64 (log.f64 c)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 c c) #s(literal 1 binary64)) |
(pow.f64 c #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 c) #s(literal 2 binary64))) |
#s(approx (+ (* c c) (* d d)) (*.f64 d d)) |
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(-.f64 (+.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 (+.f64 d c) (-.f64 c d))) #s(literal 0 binary64)) (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (+.f64 d c) (-.f64 c d)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 (+.f64 d c) (-.f64 c d))) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (neg.f64 (pow.f64 d #s(literal 4 binary64)))) (*.f64 (+.f64 d c) (-.f64 c d)))) (/.f64 (pow.f64 (*.f64 (*.f64 (+.f64 d c) (-.f64 c d)) (pow.f64 d #s(literal -4 binary64))) #s(literal -2 binary64)) (/.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (neg.f64 (pow.f64 d #s(literal 4 binary64)))) (*.f64 (+.f64 d c) (-.f64 c d))))) |
(-.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (fma.f64 d d (*.f64 (neg.f64 c) c))) (/.f64 (pow.f64 c #s(literal 4 binary64)) (fma.f64 d d (*.f64 (neg.f64 c) c)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (*.f64 (+.f64 d c) (-.f64 c d)))) |
(-.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 (+.f64 d c) (-.f64 c d))) (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (+.f64 d c) (-.f64 c d)))) |
(hypot.f64 (exp.f64 (log.f64 c)) (neg.f64 d)) |
(hypot.f64 (exp.f64 (log.f64 c)) d) |
(hypot.f64 (neg.f64 d) (exp.f64 (log.f64 c))) |
(hypot.f64 (neg.f64 d) c) |
(hypot.f64 d (exp.f64 (log.f64 c))) |
(hypot.f64 d c) |
(hypot.f64 c (neg.f64 d)) |
(hypot.f64 c d) |
(+.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 (+.f64 d c) (-.f64 c d))) (/.f64 (/.f64 (neg.f64 (pow.f64 d #s(literal 4 binary64))) (+.f64 d c)) (-.f64 c d))) |
(+.f64 (/.f64 (/.f64 (neg.f64 (pow.f64 d #s(literal 4 binary64))) (+.f64 d c)) (-.f64 c d)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (*.f64 (+.f64 d c) (-.f64 c d)))) |
(+.f64 (*.f64 d d) (*.f64 c c)) |
(+.f64 (*.f64 c c) (*.f64 d d)) |
Compiled 99 786 to 5 029 computations (95% saved)
18 alts after pruning (16 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 629 | 16 | 2 645 |
| Fresh | 14 | 0 | 14 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 646 | 18 | 2 664 |
| Status | Accuracy | Program |
|---|---|---|
| 36.3% | (/.f64 (fma.f64 c b (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| ▶ | 17.1% | (/.f64 (-.f64 (*.f64 (*.f64 c b) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) (*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (*.f64 (neg.f64 d) a))) (*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d))))) |
| ✓ | 36.9% | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
| 40.0% | (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) (fma.f64 d d (*.f64 c c))) | |
| 27.4% | (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| ▶ | 38.6% | (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) |
| 22.1% | (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| 38.4% | #s(approx (/ (- (* b c) (* a d)) (+ (* (* c c) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 c c)))) (pow.f64 c #s(literal 5 binary64))) (fma.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 a (*.f64 c c)) #s(literal -1 binary64) (*.f64 b (/.f64 #s(literal 0 binary64) (pow.f64 c #s(literal 3 binary64))))) c) (/.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 c c))) b) (pow.f64 c #s(literal 3 binary64)))) (*.f64 c c)) (*.f64 (/.f64 (fma.f64 (/.f64 a (*.f64 c c)) #s(literal -1 binary64) (*.f64 b (/.f64 #s(literal 0 binary64) (pow.f64 c #s(literal 3 binary64))))) c) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 c c))) c)))) d (fma.f64 (/.f64 (fma.f64 (/.f64 a (*.f64 c c)) #s(literal -1 binary64) (*.f64 b (/.f64 #s(literal 0 binary64) (pow.f64 c #s(literal 3 binary64))))) c) (/.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 c c))) b) (pow.f64 c #s(literal 3 binary64)))))) d (fma.f64 (/.f64 a (*.f64 c c)) #s(literal -1 binary64) (*.f64 b (/.f64 #s(literal 0 binary64) (pow.f64 c #s(literal 3 binary64)))))) d (/.f64 b c))) | |
| ▶ | 41.9% | #s(approx (/ (- (* b c) (* a d)) (+ (* (* c c) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) (/.f64 (neg.f64 a) d)) |
| 55.5% | #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (fma.f64 (/.f64 (neg.f64 a) c) (/.f64 d c) (/.f64 b c))) | |
| 51.9% | #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (fma.f64 (/.f64 b d) (/.f64 c d) (/.f64 (neg.f64 a) d))) | |
| 43.4% | #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (fma.f64 (neg.f64 (fma.f64 b (/.f64 d (pow.f64 c #s(literal 3 binary64))) (/.f64 a (*.f64 c c)))) d (/.f64 b c))) | |
| 54.3% | #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (neg.f64 b) (/.f64 c d) a) (neg.f64 d))) | |
| ▶ | 56.8% | #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 (fma.f64 a (/.f64 d c) (neg.f64 b)) (neg.f64 c))) |
| ▶ | 53.4% | #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) |
| 53.9% | #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) | |
| ✓ | 42.4% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
| 41.9% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) |
Compiled 654 to 390 computations (40.4% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 c b) | |
| cost-diff | 0 | (*.f64 (*.f64 c b) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) | |
| cost-diff | 896 | (-.f64 (*.f64 (*.f64 c b) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) (*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (*.f64 (neg.f64 d) a))) | |
| cost-diff | 1408 | (/.f64 (-.f64 (*.f64 (*.f64 c b) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) (*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (*.f64 (neg.f64 d) a))) (*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d 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)) (+ (* d d) (* c c))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) | |
| cost-diff | 0 | (*.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)) (fma.f64 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) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) (/.f64 (neg.f64 a) d)) | |
| cost-diff | 0 | (/.f64 d c) | |
| cost-diff | 0 | (fma.f64 a (/.f64 d c) (neg.f64 b)) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 (fma.f64 a (/.f64 d c) (neg.f64 b)) (neg.f64 c))) | |
| cost-diff | 128 | (/.f64 (fma.f64 a (/.f64 d c) (neg.f64 b)) (neg.f64 c)) |
| 4 820× | lower-fma.f32 |
| 4 816× | lower-fma.f64 |
| 2 616× | lower-*.f32 |
| 2 602× | lower-*.f64 |
| 1 418× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 384 |
| 0 | 75 | 371 |
| 1 | 170 | 347 |
| 2 | 464 | 323 |
| 3 | 1787 | 316 |
| 4 | 4623 | 316 |
| 5 | 7288 | 316 |
| 0 | 8111 | 280 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 (fma.f64 a (/.f64 d c) (neg.f64 b)) (neg.f64 c))) |
(/.f64 (fma.f64 a (/.f64 d c) (neg.f64 b)) (neg.f64 c)) |
(fma.f64 a (/.f64 d c) (neg.f64 b)) |
a |
(/.f64 d c) |
d |
c |
(neg.f64 b) |
b |
(neg.f64 c) |
#s(approx (/ (- (* b c) (* a d)) (+ (* (* c c) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) (/.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)) (fma.f64 d d (*.f64 c c))) |
#s(approx (- (* b c) (* a d)) (*.f64 c b)) |
(*.f64 c b) |
c |
b |
(fma.f64 d d (*.f64 c c)) |
d |
(*.f64 c c) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.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 |
(/.f64 (-.f64 (*.f64 (*.f64 c b) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) (*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (*.f64 (neg.f64 d) a))) (*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d))))) |
(-.f64 (*.f64 (*.f64 c b) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) (*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (*.f64 (neg.f64 d) a))) |
(*.f64 (*.f64 c b) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) |
(*.f64 c b) |
c |
b |
(neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (+ (* c c) (* d d)) (*.f64 d d)) |
(*.f64 d d) |
d |
(*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (*.f64 (neg.f64 d) a)) |
(*.f64 (neg.f64 d) a) |
(neg.f64 d) |
a |
(*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 (fma.f64 a (/.f64 d c) (neg.f64 b)) (neg.f64 c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c)) |
(/.f64 (fma.f64 a (/.f64 d c) (neg.f64 b)) (neg.f64 c)) |
(/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c) |
(fma.f64 a (/.f64 d c) (neg.f64 b)) |
(fma.f64 (/.f64 d c) a (neg.f64 b)) |
a |
(/.f64 d c) |
d |
c |
(neg.f64 b) |
b |
(neg.f64 c) |
#s(approx (/ (- (* b c) (* a d)) (+ (* (* c c) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) (/.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)) (fma.f64 d d (*.f64 c c))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) (hypot.f64 d c)) |
#s(approx (- (* b c) (* a d)) (*.f64 c b)) |
(*.f64 c b) |
c |
b |
(fma.f64 d d (*.f64 c c)) |
(hypot.f64 d c) |
d |
(*.f64 c c) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.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 |
(/.f64 (-.f64 (*.f64 (*.f64 c b) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) (*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (*.f64 (neg.f64 d) a))) (*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d))))) |
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(-.f64 (*.f64 (*.f64 c b) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) (*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (*.f64 (neg.f64 d) a))) |
(*.f64 (fma.f64 (neg.f64 c) b (*.f64 d a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(*.f64 (*.f64 c b) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) |
(*.f64 (*.f64 (neg.f64 c) b) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(*.f64 c b) |
c |
b |
(neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (+ (* c c) (* d d)) (*.f64 d d)) |
(*.f64 d d) |
d |
(*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (*.f64 (neg.f64 d) a)) |
(*.f64 (*.f64 (neg.f64 d) a) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(*.f64 (neg.f64 d) a) |
(neg.f64 d) |
a |
(*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) |
(*.f64 (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d))) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 6.435504767854475 | (*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (*.f64 (neg.f64 d) a)) | |
| accuracy | 8.390583716604118 | (-.f64 (*.f64 (*.f64 c b) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) (*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (*.f64 (neg.f64 d) a))) | |
| accuracy | 27.12834695556548 | #s(approx (+ (* c c) (* d d)) (*.f64 d d)) | |
| accuracy | 43.70580191677103 | (/.f64 (-.f64 (*.f64 (*.f64 c b) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) (*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (*.f64 (neg.f64 d) a))) (*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d))))) | |
| accuracy | 0 | (*.f64 c b) | |
| accuracy | 1.466011979014645 | (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d) | |
| accuracy | 4.573907525382667 | (/.f64 (*.f64 c b) d) | |
| accuracy | 29.20424829677078 | #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) | |
| accuracy | 0 | (*.f64 c c) | |
| accuracy | 0 | (*.f64 c b) | |
| accuracy | 23.95416351192377 | (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) | |
| accuracy | 31.093439697019456 | #s(approx (- (* b c) (* a d)) (*.f64 c b)) | |
| accuracy | 0 | (/.f64 (neg.f64 a) d) | |
| accuracy | 0 | (neg.f64 a) | |
| accuracy | 37.19628858862628 | #s(approx (/ (- (* b c) (* a d)) (+ (* (* c c) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) (/.f64 (neg.f64 a) d)) | |
| accuracy | 0 | (neg.f64 b) | |
| accuracy | 0.31160487170753504 | (/.f64 (fma.f64 a (/.f64 d c) (neg.f64 b)) (neg.f64 c)) | |
| accuracy | 1.7386451847142805 | (fma.f64 a (/.f64 d c) (neg.f64 b)) | |
| accuracy | 27.625735154406307 | #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 (fma.f64 a (/.f64 d c) (neg.f64 b)) (neg.f64 c))) |
| 264.0ms | 256× | 0 | valid |
Compiled 310 to 45 computations (85.5% saved)
ival-mult: 209.0ms (86.2% of total)ival-div: 15.0ms (6.2% of total)ival-add: 5.0ms (2.1% of total)ival-neg: 5.0ms (2.1% of total)ival-sub: 4.0ms (1.6% of total)ival-pow: 4.0ms (1.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (fma.f64 a (/.f64 d c) (neg.f64 b)) (neg.f64 c)) (patch (/.f64 (fma.f64 a (/.f64 d c) (neg.f64 b)) (neg.f64 c)) #<representation:binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 (fma.f64 a (/.f64 d c) (neg.f64 b)) (neg.f64 c))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 (fma.f64 a (/.f64 d c) (neg.f64 b)) (neg.f64 c))) #<representation:binary64>) () ()) |
#s(alt (fma.f64 a (/.f64 d c) (neg.f64 b)) (patch (fma.f64 a (/.f64 d c) (neg.f64 b)) #<representation:binary64>) () ()) |
#s(alt (/.f64 d c) (patch (/.f64 d c) #<representation:binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* (* c c) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) (/.f64 (neg.f64 a) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* (* c c) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) (/.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)) (fma.f64 d d (*.f64 c c))) (patch (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) (fma.f64 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 (*.f64 c c) (patch (*.f64 c c) #<representation:binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.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 (/.f64 (-.f64 (*.f64 (*.f64 c b) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) (*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (*.f64 (neg.f64 d) a))) (*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d))))) (patch (/.f64 (-.f64 (*.f64 (*.f64 c b) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) (*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (*.f64 (neg.f64 d) a))) (*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d))))) #<representation:binary64>) () ()) |
#s(alt (-.f64 (*.f64 (*.f64 c b) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) (*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (*.f64 (neg.f64 d) a))) (patch (-.f64 (*.f64 (*.f64 c b) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) (*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (*.f64 (neg.f64 d) a))) #<representation:binary64>) () ()) |
#s(alt (*.f64 (*.f64 c b) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) (patch (*.f64 (*.f64 c b) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) #<representation:binary64>) () ()) |
#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation:binary64>) () ()) |
#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation:binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (*.f64 (neg.f64 d) a)) (patch (*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (*.f64 (neg.f64 d) a)) #<representation:binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (/ (* a d) (pow c 2))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 a (/.f64 d c) (neg.f64 b)) (neg.f64 c)) (patch (/.f64 (fma.f64 a (/.f64 d c) (neg.f64 b)) (neg.f64 c)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 a (/.f64 d c) (neg.f64 b)) (neg.f64 c)) (patch (/.f64 (fma.f64 a (/.f64 d c) (neg.f64 b)) (neg.f64 c)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 a (/.f64 d c) (neg.f64 b)) (neg.f64 c)) (patch (/.f64 (fma.f64 a (/.f64 d c) (neg.f64 b)) (neg.f64 c)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 a (/.f64 d c) (neg.f64 b)) (neg.f64 c)) (patch (/.f64 (fma.f64 a (/.f64 d c) (neg.f64 b)) (neg.f64 c)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 (fma.f64 a (/.f64 d c) (neg.f64 b)) (neg.f64 c))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 (fma.f64 a (/.f64 d c) (neg.f64 b)) (neg.f64 c))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 (fma.f64 a (/.f64 d c) (neg.f64 b)) (neg.f64 c))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 (fma.f64 a (/.f64 d c) (neg.f64 b)) (neg.f64 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)) (+ (* d d) (* c c))) (/.f64 (fma.f64 a (/.f64 d c) (neg.f64 b)) (neg.f64 c))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 (fma.f64 a (/.f64 d c) (neg.f64 b)) (neg.f64 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)) (+ (* d d) (* c c))) (/.f64 (fma.f64 a (/.f64 d c) (neg.f64 b)) (neg.f64 c))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 (fma.f64 a (/.f64 d c) (neg.f64 b)) (neg.f64 c))) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor 0 c) (#s(alt (fma.f64 a (/.f64 d c) (neg.f64 b)) (patch (fma.f64 a (/.f64 d c) (neg.f64 b)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* b c)) (* a d)) c) (taylor 0 c) (#s(alt (fma.f64 a (/.f64 d c) (neg.f64 b)) (patch (fma.f64 a (/.f64 d c) (neg.f64 b)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* b c)) (* a d)) c) (taylor 0 c) (#s(alt (fma.f64 a (/.f64 d c) (neg.f64 b)) (patch (fma.f64 a (/.f64 d c) (neg.f64 b)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* b c)) (* a d)) c) (taylor 0 c) (#s(alt (fma.f64 a (/.f64 d c) (neg.f64 b)) (patch (fma.f64 a (/.f64 d c) (neg.f64 b)) #<representation:binary64>) () ())) ()) |
#s(alt (/ d c) (taylor 0 c) (#s(alt (/.f64 d c) (patch (/.f64 d c) #<representation:binary64>) () ())) ()) |
#s(alt (/ d c) (taylor 0 c) (#s(alt (/.f64 d c) (patch (/.f64 d c) #<representation:binary64>) () ())) ()) |
#s(alt (/ d c) (taylor 0 c) (#s(alt (/.f64 d c) (patch (/.f64 d c) #<representation:binary64>) () ())) ()) |
#s(alt (/ d c) (taylor 0 c) (#s(alt (/.f64 d c) (patch (/.f64 d c) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* (* c c) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) (/.f64 (neg.f64 a) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* (* c c) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) (/.f64 (neg.f64 a) d)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (- (/ b (pow d 2)) (* -1 (/ (* a (+ d (* -1 d))) (pow d 3)))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* (* c c) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) (/.f64 (neg.f64 a) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* (* c c) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) (/.f64 (neg.f64 a) d)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (- (+ (* -1 (* c (+ (* -1 (/ (* a (+ 1 (/ (pow (+ d (* -1 d)) 2) (pow d 2)))) (pow d 3))) (/ (* (+ d (* -1 d)) (- (/ b (pow d 2)) (* -1 (/ (* a (+ d (* -1 d))) (pow d 3))))) (pow d 2))))) (/ b (pow d 2))) (* -1 (/ (* a (+ d (* -1 d))) (pow d 3)))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* (* c c) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) (/.f64 (neg.f64 a) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* (* c c) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) (/.f64 (neg.f64 a) d)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (- (+ (* c (- (* -1 (* c (+ (* -1 (/ (* a (* (+ 1 (/ (pow (+ d (* -1 d)) 2) (pow d 2))) (+ d (* -1 d)))) (pow d 5))) (+ (* -1 (/ (* (+ d (* -1 d)) (+ (* -1 (/ (* a (+ 1 (/ (pow (+ d (* -1 d)) 2) (pow d 2)))) (pow d 3))) (/ (* (+ d (* -1 d)) (- (/ b (pow d 2)) (* -1 (/ (* a (+ d (* -1 d))) (pow d 3))))) (pow d 2)))) (pow d 2))) (/ (* (+ 1 (/ (pow (+ d (* -1 d)) 2) (pow d 2))) (- (/ b (pow d 2)) (* -1 (/ (* a (+ d (* -1 d))) (pow d 3))))) (pow d 2)))))) (+ (* -1 (/ (* a (+ 1 (/ (pow (+ d (* -1 d)) 2) (pow d 2)))) (pow d 3))) (/ (* (+ d (* -1 d)) (- (/ b (pow d 2)) (* -1 (/ (* a (+ d (* -1 d))) (pow d 3))))) (pow d 2))))) (/ b (pow d 2))) (* -1 (/ (* a (+ d (* -1 d))) (pow d 3)))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* (* c c) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) (/.f64 (neg.f64 a) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* (* c c) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) (/.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)) (fma.f64 d d (*.f64 c c))) (patch (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) (patch (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) (taylor 0 c) (#s(alt (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) (patch (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) (taylor 0 c) (#s(alt (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) (patch (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) (fma.f64 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 c 2) (taylor 0 c) (#s(alt (*.f64 c c) (patch (*.f64 c c) #<representation:binary64>) () ())) ()) |
#s(alt (pow c 2) (taylor 0 c) (#s(alt (*.f64 c c) (patch (*.f64 c c) #<representation:binary64>) () ())) ()) |
#s(alt (pow c 2) (taylor 0 c) (#s(alt (*.f64 c c) (patch (*.f64 c c) #<representation:binary64>) () ())) ()) |
#s(alt (pow c 2) (taylor 0 c) (#s(alt (*.f64 c c) (patch (*.f64 c c) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.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)) (+ (* d d) (* c c))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.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)) (+ (* d d) (* c c))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.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)) (+ (* d d) (* c c))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.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 (/.f64 (-.f64 (*.f64 (*.f64 c b) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) (*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (*.f64 (neg.f64 d) a))) (*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d))))) (patch (/.f64 (-.f64 (*.f64 (*.f64 c b) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) (*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (*.f64 (neg.f64 d) a))) (*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d))))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (*.f64 (*.f64 c b) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) (*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (*.f64 (neg.f64 d) a))) (*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d))))) (patch (/.f64 (-.f64 (*.f64 (*.f64 c b) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) (*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (*.f64 (neg.f64 d) a))) (*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d))))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (* -1 (* c (- (/ a (pow d 3)) (* 2 (/ a (pow d 3)))))) (/ b (pow d 2))))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (*.f64 (*.f64 c b) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) (*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (*.f64 (neg.f64 d) a))) (*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d))))) (patch (/.f64 (-.f64 (*.f64 (*.f64 c b) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) (*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (*.f64 (neg.f64 d) a))) (*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d))))) #<representation:binary64>) () ())) ()) |
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#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* a (pow d 3))) (taylor -inf d) (#s(alt (*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (*.f64 (neg.f64 d) a)) (patch (*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (*.f64 (neg.f64 d) a)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* (pow d 3) (+ a (/ (* a (pow c 2)) (pow d 2))))) (taylor -inf d) (#s(alt (*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (*.f64 (neg.f64 d) a)) (patch (*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (*.f64 (neg.f64 d) a)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* (pow d 3) (+ a (/ (* a (pow c 2)) (pow d 2))))) (taylor -inf d) (#s(alt (*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (*.f64 (neg.f64 d) a)) (patch (*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (*.f64 (neg.f64 d) a)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* (pow d 3) (+ a (/ (* a (pow c 2)) (pow d 2))))) (taylor -inf d) (#s(alt (*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (*.f64 (neg.f64 d) a)) (patch (*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (*.f64 (neg.f64 d) a)) #<representation:binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 24.0ms | b | @ | 0 | ((/ (+ (* a (/ d c)) (neg b)) (neg c)) (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (+ (* a (/ d c)) (neg b)) (/ d c) (/ (- (* b c) (* a d)) (+ (* (* c c) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) (/ (neg a) d) (neg a) (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (- (* b c) (* a d)) (* c b) (* c c) (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/ (- (/ (* c b) d) a) d) (- (/ (* c b) d) a) (/ (* c b) d) (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (* c b) (neg (+ (* c c) (* d d)))) (neg b) (+ (* c c) (* d d)) (* (+ (* c c) (* d d)) (* (neg d) a))) |
| 6.0ms | d | @ | -inf | ((/ (+ (* a (/ d c)) (neg b)) (neg c)) (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (+ (* a (/ d c)) (neg b)) (/ d c) (/ (- (* b c) (* a d)) (+ (* (* c c) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) (/ (neg a) d) (neg a) (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (- (* b c) (* a d)) (* c b) (* c c) (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/ (- (/ (* c b) d) a) d) (- (/ (* c b) d) a) (/ (* c b) d) (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (* c b) (neg (+ (* c c) (* d d)))) (neg b) (+ (* c c) (* d d)) (* (+ (* c c) (* d d)) (* (neg d) a))) |
| 5.0ms | d | @ | 0 | ((/ (+ (* a (/ d c)) (neg b)) (neg c)) (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (+ (* a (/ d c)) (neg b)) (/ d c) (/ (- (* b c) (* a d)) (+ (* (* c c) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) (/ (neg a) d) (neg a) (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (- (* b c) (* a d)) (* c b) (* c c) (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/ (- (/ (* c b) d) a) d) (- (/ (* c b) d) a) (/ (* c b) d) (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (* c b) (neg (+ (* c c) (* d d)))) (neg b) (+ (* c c) (* d d)) (* (+ (* c c) (* d d)) (* (neg d) a))) |
| 5.0ms | a | @ | 0 | ((/ (+ (* a (/ d c)) (neg b)) (neg c)) (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (+ (* a (/ d c)) (neg b)) (/ d c) (/ (- (* b c) (* a d)) (+ (* (* c c) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) (/ (neg a) d) (neg a) (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (- (* b c) (* a d)) (* c b) (* c c) (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/ (- (/ (* c b) d) a) d) (- (/ (* c b) d) a) (/ (* c b) d) (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (* c b) (neg (+ (* c c) (* d d)))) (neg b) (+ (* c c) (* d d)) (* (+ (* c c) (* d d)) (* (neg d) a))) |
| 4.0ms | a | @ | inf | ((/ (+ (* a (/ d c)) (neg b)) (neg c)) (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (+ (* a (/ d c)) (neg b)) (/ d c) (/ (- (* b c) (* a d)) (+ (* (* c c) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) (/ (neg a) d) (neg a) (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (- (* b c) (* a d)) (* c b) (* c c) (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/ (- (/ (* c b) d) a) d) (- (/ (* c b) d) a) (/ (* c b) d) (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (* c b) (neg (+ (* c c) (* d d)))) (neg b) (+ (* c c) (* d d)) (* (+ (* c c) (* d d)) (* (neg d) a))) |
| 1× | egg-herbie |
| 9 950× | lower-fma.f64 |
| 9 950× | lower-fma.f32 |
| 5 598× | lower-*.f64 |
| 5 598× | lower-*.f32 |
| 4 212× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 802 | 11240 |
| 1 | 2902 | 10270 |
| 0 | 8672 | 9109 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -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))))) |
(/ (* a d) c) |
(/ (+ (* -1 (* b c)) (* a d)) c) |
(/ (+ (* -1 (* b c)) (* a d)) c) |
(/ (+ (* -1 (* b c)) (* a d)) c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (* c (- (/ b (pow d 2)) (* -1 (/ (* a (+ d (* -1 d))) (pow d 3)))))) |
(+ (* -1 (/ a d)) (* c (- (+ (* -1 (* c (+ (* -1 (/ (* a (+ 1 (/ (pow (+ d (* -1 d)) 2) (pow d 2)))) (pow d 3))) (/ (* (+ d (* -1 d)) (- (/ b (pow d 2)) (* -1 (/ (* a (+ d (* -1 d))) (pow d 3))))) (pow d 2))))) (/ b (pow d 2))) (* -1 (/ (* a (+ d (* -1 d))) (pow d 3)))))) |
(+ (* -1 (/ a d)) (* c (- (+ (* c (- (* -1 (* c (+ (* -1 (/ (* a (* (+ 1 (/ (pow (+ d (* -1 d)) 2) (pow d 2))) (+ d (* -1 d)))) (pow d 5))) (+ (* -1 (/ (* (+ d (* -1 d)) (+ (* -1 (/ (* a (+ 1 (/ (pow (+ d (* -1 d)) 2) (pow d 2)))) (pow d 3))) (/ (* (+ d (* -1 d)) (- (/ b (pow d 2)) (* -1 (/ (* a (+ d (* -1 d))) (pow d 3))))) (pow d 2)))) (pow d 2))) (/ (* (+ 1 (/ (pow (+ d (* -1 d)) 2) (pow d 2))) (- (/ b (pow d 2)) (* -1 (/ (* a (+ d (* -1 d))) (pow d 3))))) (pow d 2)))))) (+ (* -1 (/ (* a (+ 1 (/ (pow (+ d (* -1 d)) 2) (pow d 2)))) (pow d 3))) (/ (* (+ d (* -1 d)) (- (/ b (pow d 2)) (* -1 (/ (* a (+ d (* -1 d))) (pow d 3))))) (pow d 2))))) (/ b (pow d 2))) (* -1 (/ (* a (+ d (* -1 d))) (pow d 3)))))) |
(* -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) |
(pow c 2) |
(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)) |
(+ (* -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 (+ (* -1 (* c (- (/ a (pow d 3)) (* 2 (/ a (pow d 3)))))) (/ b (pow d 2))))) |
(+ (* -1 (/ a d)) (* c (+ (* c (+ (* -1 (* c (- (* -1 (/ b (pow d 4))) (* -2 (/ b (pow d 4)))))) (* -1 (- (/ a (pow d 3)) (* 2 (/ a (pow d 3))))))) (/ b (pow d 2))))) |
(* a (pow d 3)) |
(- (* -1 (* b (* c (pow d 2)))) (* -1 (* a (pow d 3)))) |
(- (* c (+ (* -1 (* b (pow d 2))) (* a (* c d)))) (* -1 (* a (pow d 3)))) |
(- (* c (+ (* -1 (* b (pow d 2))) (* c (- (* -1 (* b c)) (* -1 (* a d)))))) (* -1 (* a (pow d 3)))) |
(* -1 (* b (* c (pow d 2)))) |
(* c (+ (* -1 (* b (pow c 2))) (* -1 (* b (pow d 2))))) |
(* c (+ (* -1 (* b (pow c 2))) (* -1 (* b (pow d 2))))) |
(* c (+ (* -1 (* b (pow c 2))) (* -1 (* 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 (pow d 3))) |
(+ (* -1 (* a (* (pow c 2) d))) (* -1 (* a (pow d 3)))) |
(+ (* -1 (* a (* (pow c 2) d))) (* -1 (* a (pow d 3)))) |
(+ (* -1 (* a (* (pow c 2) d))) (* -1 (* a (pow d 3)))) |
(/ 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) |
(* -1 b) |
(- (/ (* a d) c) b) |
(- (/ (* a d) c) b) |
(- (/ (* a d) c) b) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ b c) |
(/ (- (+ b (* -1 (/ (* a d) c))) (* -1 (/ (* b (+ d (* -1 d))) c))) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (+ (* -1 (* b (+ (* -1 (pow d 2)) (* -1 (pow (+ d (* -1 d)) 2))))) (* -1 (* (+ d (* -1 d)) (- (* -1 (* a d)) (* -1 (* b (+ d (* -1 d)))))))) (pow c 2))))) (* -1 (/ (* b (+ d (* -1 d))) c))) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (+ (* -1 (* b (+ (* -1 (* (+ d (* -1 d)) (+ (* -1 (pow d 2)) (* -1 (pow (+ d (* -1 d)) 2))))) (* (pow d 2) (+ d (* -1 d)))))) (+ (* -1 (* (+ (* -1 (pow d 2)) (* -1 (pow (+ d (* -1 d)) 2))) (- (* -1 (* a d)) (* -1 (* b (+ d (* -1 d))))))) (* (+ d (* -1 d)) (+ (* -1 (* b (+ (* -1 (pow d 2)) (* -1 (pow (+ d (* -1 d)) 2))))) (* -1 (* (+ d (* -1 d)) (- (* -1 (* a d)) (* -1 (* b (+ d (* -1 d))))))))))) (pow c 3))))) (+ (* -1 (/ (* b (+ d (* -1 d))) c)) (+ (* -1 (/ (* b (+ (* -1 (pow d 2)) (* -1 (pow (+ d (* -1 d)) 2)))) (pow c 2))) (* -1 (/ (* (+ d (* -1 d)) (- (* -1 (* a d)) (* -1 (* b (+ d (* -1 d)))))) (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) |
(pow c 2) |
(pow c 2) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(/ (* b c) (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 (/ (- (* -1 (* b (pow d 2))) (* -2 (* b (pow d 2)))) (pow c 2))))) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (+ (* -1 (/ (- (* -1 (* b (pow d 2))) (* -2 (* b (pow d 2)))) (pow c 2))) (* -1 (/ (- (* a (pow d 3)) (* 2 (* a (pow d 3)))) (pow c 3)))))) c) |
(* -1 (* b (pow c 3))) |
(* (pow c 3) (+ (* -1 b) (/ (* a d) c))) |
(* (pow c 3) (- (+ (* -1 b) (* -1 (/ (* b (pow d 2)) (pow c 2)))) (* -1 (/ (* a d) c)))) |
(* (pow c 3) (- (+ (* -1 b) (+ (* -1 (/ (* b (pow d 2)) (pow c 2))) (/ (* a (pow d 3)) (pow c 3)))) (* -1 (/ (* a d) c)))) |
(* -1 (* b (pow c 3))) |
(* (pow c 3) (+ (* -1 b) (* -1 (/ (* b (pow d 2)) (pow c 2))))) |
(* (pow c 3) (+ (* -1 b) (* -1 (/ (* b (pow d 2)) (pow c 2))))) |
(* (pow c 3) (+ (* -1 b) (* -1 (/ (* b (pow d 2)) (pow c 2))))) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* -1 (* a (* (pow c 2) d))) |
(* (pow c 2) (+ (* -1 (* a d)) (* -1 (/ (* a (pow d 3)) (pow c 2))))) |
(* (pow c 2) (+ (* -1 (* a d)) (* -1 (/ (* a (pow d 3)) (pow c 2))))) |
(* (pow c 2) (+ (* -1 (* a d)) (* -1 (/ (* a (pow d 3)) (pow c 2))))) |
(/ 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)) |
(* -1 b) |
(- (/ (* a d) c) b) |
(- (/ (* a d) c) b) |
(- (/ (* a d) c) b) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ b c) |
(* -1 (/ (- (+ (* -1 b) (/ (* a d) c)) (/ (* b (+ d (* -1 d))) c)) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (- (* a d) (* b (+ d (* -1 d))))) (* -1 (/ (+ (* b (+ (pow d 2) (pow (+ d (* -1 d)) 2))) (* (+ d (* -1 d)) (- (* a d) (* b (+ d (* -1 d)))))) c))) c))) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (- (* a d) (* b (+ d (* -1 d))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (+ d (* -1 d)) (+ (* b (+ (pow d 2) (pow (+ d (* -1 d)) 2))) (* (+ d (* -1 d)) (- (* a d) (* b (+ d (* -1 d)))))))) (+ (* b (+ (* (+ d (* -1 d)) (+ (pow d 2) (pow (+ d (* -1 d)) 2))) (* (pow d 2) (+ d (* -1 d))))) (* (+ (pow d 2) (pow (+ d (* -1 d)) 2)) (- (* a d) (* b (+ d (* -1 d))))))) c)) (+ (* b (+ (pow d 2) (pow (+ d (* -1 d)) 2))) (* (+ d (* -1 d)) (- (* a d) (* b (+ d (* -1 d))))))) 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) |
(pow c 2) |
(pow c 2) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) |
(/ (* b c) (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)) (/ (* b (pow d 2)) c)) (* 2 (/ (* b (pow d 2)) c))) c))) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (+ (* -1 (- (* b (pow d 2)) (* 2 (* b (pow d 2))))) (/ (* a (pow d 3)) c)) (* 2 (/ (* a (pow d 3)) c))) c))) c))) c)) |
(* -1 (* b (pow c 3))) |
(* -1 (* (pow c 3) (+ b (* -1 (/ (* a d) c))))) |
(* -1 (* (pow c 3) (+ b (* -1 (/ (- (* -1 (/ (* b (pow d 2)) c)) (* -1 (* a d))) c))))) |
(* -1 (* (pow c 3) (+ b (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (* a (pow d 3)) c)) (* b (pow d 2))) c)) (* -1 (* a d))) c))))) |
(* -1 (* b (pow c 3))) |
(* -1 (* (pow c 3) (+ b (/ (* b (pow d 2)) (pow c 2))))) |
(* -1 (* (pow c 3) (+ b (/ (* b (pow d 2)) (pow c 2))))) |
(* -1 (* (pow c 3) (+ b (/ (* b (pow d 2)) (pow c 2))))) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* -1 (* a (* (pow c 2) d))) |
(* (pow c 2) (+ (* -1 (* a d)) (* -1 (/ (* a (pow d 3)) (pow c 2))))) |
(* (pow c 2) (+ (* -1 (* a d)) (* -1 (/ (* a (pow d 3)) (pow c 2))))) |
(* (pow c 2) (+ (* -1 (* a d)) (* -1 (/ (* a (pow d 3)) (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) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(/ (* a d) c) |
(+ (* -1 b) (/ (* a d) c)) |
(+ (* -1 b) (/ (* a d) c)) |
(+ (* -1 b) (/ (* a d) c)) |
(* -1 (/ (* a d) (- (/ (pow c 4) (* (+ c d) (- c d))) (/ (pow d 4) (* (+ c d) (- c d)))))) |
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(* -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)))) |
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(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(* -1 a) |
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(- (/ (* 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)))) |
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(* a (* d (+ (pow c 2) (pow d 2)))) |
(- (* -1 (* b (* c (+ (pow c 2) (pow d 2))))) (* -1 (* a (* d (+ (pow c 2) (pow d 2)))))) |
(- (* -1 (* b (* c (+ (pow c 2) (pow d 2))))) (* -1 (* a (* d (+ (pow c 2) (pow d 2)))))) |
(- (* -1 (* b (* c (+ (pow c 2) (pow d 2))))) (* -1 (* a (* d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* b (* c (+ (pow c 2) (pow d 2))))) |
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(* -1 (* b (* c (+ (pow c 2) (pow d 2))))) |
(* -1 (* b (* c (+ (pow c 2) (pow d 2))))) |
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(* -1 b) |
(* -1 b) |
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(* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c))) |
(* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c))) |
(* b (+ (* -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))))) |
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(* b (- (/ (* a d) (* b c)) 1)) |
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(* b (+ (* -1 (/ (* a d) (* b (- (/ (pow c 4) (* (+ c d) (- c d))) (/ (pow d 4) (* (+ c d) (- c d))))))) (/ c (- (/ (pow c 4) (* (+ c d) (- c d))) (/ (pow d 4) (* (+ c d) (- c d))))))) |
(* b (+ (* -1 (/ (* a d) (* b (- (/ (pow c 4) (* (+ c d) (- c d))) (/ (pow d 4) (* (+ c d) (- c d))))))) (/ c (- (/ (pow c 4) (* (+ c d) (- c d))) (/ (pow d 4) (* (+ c d) (- c d))))))) |
(* b (+ (* -1 (/ (* a d) (* b (- (/ (pow c 4) (* (+ c d) (- c d))) (/ (pow d 4) (* (+ c d) (- c d))))))) (/ c (- (/ (pow c 4) (* (+ c d) (- c d))) (/ (pow d 4) (* (+ c d) (- 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))))) |
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(* b (+ c (* -1 (/ (* a d) b)))) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(* b c) |
(* b c) |
(* b c) |
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(* 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))))) |
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(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
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(* -1 (* b (+ 1 (* -1 (/ (* a d) (* b c)))))) |
(* -1 (* b (+ 1 (* -1 (/ (* a d) (* b c)))))) |
(/ (* b c) (- (/ (pow c 4) (* (+ c d) (- c d))) (/ (pow d 4) (* (+ c d) (- c d))))) |
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(* -1 (* b (+ (* -1 (/ c (- (/ (pow c 4) (* (+ c d) (- c d))) (/ (pow d 4) (* (+ c d) (- c d)))))) (/ (* a d) (* b (- (/ (pow c 4) (* (+ c d) (- c d))) (/ (pow d 4) (* (+ c d) (- c d))))))))) |
(* -1 (* b (+ (* -1 (/ c (- (/ (pow c 4) (* (+ c d) (- c d))) (/ (pow d 4) (* (+ c d) (- c d)))))) (/ (* a d) (* b (- (/ (pow c 4) (* (+ c d) (- c d))) (/ (pow d 4) (* (+ c d) (- 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))))))) |
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(* -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) (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))))))) |
(* -1 (* b (* c (+ (pow c 2) (pow d 2))))) |
(* -1 (* b (+ (* -1 (/ (* a (* d (+ (pow c 2) (pow d 2)))) b)) (* c (+ (pow c 2) (pow d 2)))))) |
(* -1 (* b (+ (* -1 (/ (* a (* d (+ (pow c 2) (pow d 2)))) b)) (* c (+ (pow c 2) (pow d 2)))))) |
(* -1 (* b (+ (* -1 (/ (* a (* d (+ (pow c 2) (pow d 2)))) b)) (* c (+ (pow c 2) (pow d 2)))))) |
(* -1 (* b (* c (+ (pow c 2) (pow d 2))))) |
(* -1 (* b (* c (+ (pow c 2) (pow d 2))))) |
(* -1 (* b (* c (+ (pow c 2) (pow d 2))))) |
(* -1 (* b (* c (+ (pow c 2) (pow d 2))))) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(/ 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)))) |
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(* -1 b) |
(- (/ (* a d) c) b) |
(- (/ (* a d) c) b) |
(- (/ (* a d) c) b) |
(/ (* b c) (- (/ (pow c 4) (* (+ c d) (- c d))) (/ (pow d 4) (* (+ c d) (- c d))))) |
(+ (* -1 (/ (* a d) (- (/ (pow c 4) (* (+ c d) (- c d))) (/ (pow d 4) (* (+ c d) (- c d)))))) (/ (* b c) (- (/ (pow c 4) (* (+ c d) (- c d))) (/ (pow d 4) (* (+ c d) (- c d)))))) |
(+ (* -1 (/ (* a d) (- (/ (pow c 4) (* (+ c d) (- c d))) (/ (pow d 4) (* (+ c d) (- c d)))))) (/ (* b c) (- (/ (pow c 4) (* (+ c d) (- c d))) (/ (pow d 4) (* (+ c d) (- c d)))))) |
(+ (* -1 (/ (* a d) (- (/ (pow c 4) (* (+ c d) (- c d))) (/ (pow d 4) (* (+ c d) (- c d)))))) (/ (* b c) (- (/ (pow c 4) (* (+ c d) (- c d))) (/ (pow d 4) (* (+ c d) (- c d)))))) |
(* -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) |
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(+ (* -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)))) |
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(/ (* 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)))) |
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(+ (* -1 (* b (* c (+ (pow c 2) (pow d 2))))) (* a (* d (+ (pow c 2) (pow d 2))))) |
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(* -1 (* a (* d (+ (pow c 2) (pow d 2))))) |
(* -1 (* a (* d (+ (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)))) |
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(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(/ (* a d) c) |
(* a (+ (* -1 (/ b a)) (/ d c))) |
(* a (+ (* -1 (/ b a)) (/ d c))) |
(* a (+ (* -1 (/ b a)) (/ d c))) |
(* -1 (/ (* a d) (- (/ (pow c 4) (* (+ c d) (- c d))) (/ (pow d 4) (* (+ c d) (- c d)))))) |
(* a (+ (* -1 (/ d (- (/ (pow c 4) (* (+ c d) (- c d))) (/ (pow d 4) (* (+ c d) (- c d)))))) (/ (* b c) (* a (- (/ (pow c 4) (* (+ c d) (- c d))) (/ (pow d 4) (* (+ c d) (- c d)))))))) |
(* a (+ (* -1 (/ d (- (/ (pow c 4) (* (+ c d) (- c d))) (/ (pow d 4) (* (+ c d) (- c d)))))) (/ (* b c) (* a (- (/ (pow c 4) (* (+ c d) (- c d))) (/ (pow d 4) (* (+ c d) (- c d)))))))) |
(* a (+ (* -1 (/ d (- (/ (pow c 4) (* (+ c d) (- c d))) (/ (pow d 4) (* (+ c d) (- c d)))))) (/ (* b c) (* a (- (/ (pow c 4) (* (+ c d) (- c d))) (/ (pow d 4) (* (+ c d) (- c 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) (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)))))) |
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(* 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)) |
(* 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)))) |
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(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (* d (+ (pow c 2) (pow d 2)))) |
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(* -1 (* a (* d (+ (pow c 2) (pow d 2))))) |
(* -1 (* a (* 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)))))) |
(/ (* a d) c) |
(* -1 (* a (+ (* -1 (/ d c)) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ d c)) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ d c)) (/ b a)))) |
(* -1 (/ (* a d) (- (/ (pow c 4) (* (+ c d) (- c d))) (/ (pow d 4) (* (+ c d) (- c d)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (- (/ (pow c 4) (* (+ c d) (- c d))) (/ (pow d 4) (* (+ c d) (- c d))))))) (/ d (- (/ (pow c 4) (* (+ c d) (- c d))) (/ (pow d 4) (* (+ c d) (- c d)))))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (- (/ (pow c 4) (* (+ c d) (- c d))) (/ (pow d 4) (* (+ c d) (- c d))))))) (/ d (- (/ (pow c 4) (* (+ c d) (- c d))) (/ (pow d 4) (* (+ c d) (- c d)))))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (- (/ (pow c 4) (* (+ c d) (- c d))) (/ (pow d 4) (* (+ c d) (- c d))))))) (/ d (- (/ (pow c 4) (* (+ c d) (- c d))) (/ (pow d 4) (* (+ c d) (- c 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) (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)) |
(* -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)))))) |
(* a (* d (+ (pow c 2) (pow d 2)))) |
(* -1 (* a (- (/ (* b (* c (+ (pow c 2) (pow d 2)))) a) (* d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (- (/ (* b (* c (+ (pow c 2) (pow d 2)))) a) (* d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (- (/ (* b (* c (+ (pow c 2) (pow d 2)))) a) (* d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (* d (+ (pow c 2) (pow d 2))))) |
(* -1 (* a (* d (+ (pow c 2) (pow d 2))))) |
(* -1 (* a (* d (+ (pow c 2) (pow d 2))))) |
(* -1 (* a (* d (+ (pow c 2) (pow d 2))))) |
(/ b c) |
(+ (* -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)) |
(* -1 b) |
(- (/ (* a d) c) b) |
(- (/ (* a d) c) b) |
(- (/ (* a d) c) b) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ b c) |
(+ (* d (- (* -1 (/ a (pow c 2))) (* -1 (/ (* b (+ c (* -1 c))) (pow c 3))))) (/ b c)) |
(+ (* d (- (+ (* -1 (* d (+ (* -1 (/ (* (+ c (* -1 c)) (- (* -1 (/ a (pow c 2))) (* -1 (/ (* b (+ c (* -1 c))) (pow c 3))))) (pow c 2))) (/ (* b (- 1 (* -1 (/ (pow (+ c (* -1 c)) 2) (pow c 2))))) (pow c 3))))) (* -1 (/ a (pow c 2)))) (* -1 (/ (* b (+ c (* -1 c))) (pow c 3))))) (/ b c)) |
(+ (* d (- (+ (* -1 (/ a (pow c 2))) (* d (- (* -1 (* d (+ (* -1 (/ (* b (* (+ c (* -1 c)) (- 1 (* -1 (/ (pow (+ c (* -1 c)) 2) (pow c 2)))))) (pow c 5))) (+ (/ (* (+ c (* -1 c)) (+ (* -1 (/ (* (+ c (* -1 c)) (- (* -1 (/ a (pow c 2))) (* -1 (/ (* b (+ c (* -1 c))) (pow c 3))))) (pow c 2))) (/ (* b (- 1 (* -1 (/ (pow (+ c (* -1 c)) 2) (pow c 2))))) (pow c 3)))) (pow c 2)) (/ (* (- 1 (* -1 (/ (pow (+ c (* -1 c)) 2) (pow c 2)))) (- (* -1 (/ a (pow c 2))) (* -1 (/ (* b (+ c (* -1 c))) (pow c 3))))) (pow c 2)))))) (+ (* -1 (/ (* (+ c (* -1 c)) (- (* -1 (/ a (pow c 2))) (* -1 (/ (* b (+ c (* -1 c))) (pow c 3))))) (pow c 2))) (/ (* b (- 1 (* -1 (/ (pow (+ c (* -1 c)) 2) (pow c 2))))) (pow c 3)))))) (* -1 (/ (* b (+ c (* -1 c))) (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)) |
(/ 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 (* d (- (* -1 (/ b (pow c 3))) (* -2 (/ b (pow c 3)))))) (* -1 (/ a (pow c 2))))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (+ (* -1 (* d (- (/ a (pow c 4)) (* 2 (/ a (pow c 4)))))) (* -1 (- (* -1 (/ b (pow c 3))) (* -2 (/ b (pow c 3))))))))) (/ b c)) |
(* -1 (* b (pow c 3))) |
(+ (* -1 (* b (pow c 3))) (* a (* (pow c 2) d))) |
(+ (* -1 (* b (pow c 3))) (* d (- (* -1 (* b (* c d))) (* -1 (* a (pow c 2)))))) |
(+ (* -1 (* b (pow c 3))) (* d (- (* d (+ (* -1 (* b c)) (* a d))) (* -1 (* a (pow c 2)))))) |
(* -1 (* b (pow c 3))) |
(+ (* -1 (* b (* c (pow d 2)))) (* -1 (* b (pow c 3)))) |
(+ (* -1 (* b (* c (pow d 2)))) (* -1 (* b (pow c 3)))) |
(+ (* -1 (* b (* c (pow d 2)))) (* -1 (* b (pow c 3)))) |
(pow c 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(* -1 (* a (* (pow c 2) d))) |
(* d (+ (* -1 (* a (pow c 2))) (* -1 (* a (pow d 2))))) |
(* d (+ (* -1 (* a (pow c 2))) (* -1 (* a (pow d 2))))) |
(* d (+ (* -1 (* a (pow c 2))) (* -1 (* a (pow d 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) |
(/ (* a d) c) |
(* d (+ (* -1 (/ b d)) (/ a c))) |
(* d (+ (* -1 (/ b d)) (/ a c))) |
(* d (+ (* -1 (/ b d)) (/ a c))) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(* -1 (/ a d)) |
(/ (- (+ (* -1 a) (/ (* b c) d)) (* -1 (/ (* a (+ c (* -1 c))) d))) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (+ (* -1 (* a (+ (pow c 2) (pow (+ c (* -1 c)) 2)))) (* (+ c (* -1 c)) (- (* b c) (* -1 (* a (+ c (* -1 c))))))) (pow d 2))) (/ (* b c) d))) (* -1 (/ (* a (+ c (* -1 c))) d))) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (+ (* -1 (* a (+ (* (+ c (* -1 c)) (+ (pow c 2) (pow (+ c (* -1 c)) 2))) (* (pow c 2) (+ c (* -1 c)))))) (+ (* -1 (* (+ c (* -1 c)) (+ (* -1 (* a (+ (pow c 2) (pow (+ c (* -1 c)) 2)))) (* (+ c (* -1 c)) (- (* b c) (* -1 (* a (+ c (* -1 c))))))))) (* (+ (pow c 2) (pow (+ c (* -1 c)) 2)) (- (* b c) (* -1 (* a (+ c (* -1 c)))))))) (pow d 3))) (/ (* b c) d))) (+ (* -1 (/ (* a (+ c (* -1 c))) d)) (+ (* -1 (/ (* a (+ (pow c 2) (pow (+ c (* -1 c)) 2))) (pow d 2))) (/ (* (+ c (* -1 c)) (- (* b c) (* -1 (* a (+ c (* -1 c)))))) (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)) |
(* -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) (+ (* -1 (/ (- (* a (pow c 2)) (* 2 (* a (pow c 2)))) (pow d 2))) (/ (* b c) d))) d) |
(/ (+ (* -1 a) (+ (* -1 (/ (- (* -1 (* b (pow c 3))) (* -2 (* b (pow c 3)))) (pow d 3))) (+ (* -1 (/ (- (* a (pow c 2)) (* 2 (* a (pow c 2)))) (pow d 2))) (/ (* b c) d)))) d) |
(* a (pow d 3)) |
(* (pow d 3) (- (* -1 (/ (* b c) d)) (* -1 a))) |
(* (pow d 3) (- (+ (* -1 (/ (* b c) d)) (/ (* a (pow c 2)) (pow d 2))) (* -1 a))) |
(* (pow d 3) (- (+ (* -1 (/ (* b c) d)) (* -1 (/ (* b (pow c 3)) (pow d 3)))) (+ (* -1 a) (* -1 (/ (* a (pow c 2)) (pow d 2)))))) |
(* -1 (* b (* c (pow d 2)))) |
(* (pow d 2) (+ (* -1 (* b c)) (* -1 (/ (* b (pow c 3)) (pow d 2))))) |
(* (pow d 2) (+ (* -1 (* b c)) (* -1 (/ (* b (pow c 3)) (pow d 2))))) |
(* (pow d 2) (+ (* -1 (* b c)) (* -1 (/ (* b (pow c 3)) (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 (pow d 3))) |
(* (pow d 3) (+ (* -1 a) (* -1 (/ (* a (pow c 2)) (pow d 2))))) |
(* (pow d 3) (+ (* -1 a) (* -1 (/ (* a (pow c 2)) (pow d 2))))) |
(* (pow d 3) (+ (* -1 a) (* -1 (/ (* a (pow c 2)) (pow d 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)) |
(/ (* a d) c) |
(* -1 (* d (+ (* -1 (/ a c)) (/ b d)))) |
(* -1 (* d (+ (* -1 (/ a c)) (/ b d)))) |
(* -1 (* d (+ (* -1 (/ a c)) (/ b d)))) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (- (* b c) (* a (+ c (* -1 c)))) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (- (+ (* b c) (+ (/ (* a (+ (pow c 2) (pow (+ c (* -1 c)) 2))) d) (/ (* (+ c (* -1 c)) (- (* b c) (* a (+ c (* -1 c))))) d))) (* a (+ c (* -1 c)))) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (+ c (* -1 c)) (+ (* a (+ (pow c 2) (pow (+ c (* -1 c)) 2))) (* (+ c (* -1 c)) (- (* b c) (* a (+ c (* -1 c))))))) d)) (+ (/ (* a (+ (* (+ c (* -1 c)) (+ (pow c 2) (pow (+ c (* -1 c)) 2))) (* (pow c 2) (+ c (* -1 c))))) d) (/ (* (+ (pow c 2) (pow (+ c (* -1 c)) 2)) (- (* b c) (* a (+ c (* -1 c))))) d))) (+ (* a (+ (pow c 2) (pow (+ c (* -1 c)) 2))) (* (+ c (* -1 c)) (- (* b c) (* a (+ c (* -1 c))))))) d)) (* b c)) (* a (+ c (* -1 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)))) |
(* -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 (/ (- (+ (* -1 (/ (* a (pow c 2)) d)) (* b c)) (* -2 (/ (* a (pow c 2)) d))) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (- (* -1 (* a (pow c 2))) (* -2 (* a (pow c 2))))) (* -1 (/ (* b (pow c 3)) d))) (* -2 (/ (* b (pow c 3)) d))) d)) (* b c)) d))) d)) |
(* a (pow d 3)) |
(* -1 (* (pow d 3) (- (/ (* b c) d) a))) |
(* -1 (* (pow d 3) (- (* -1 (/ (+ (* -1 (* b c)) (/ (* a (pow c 2)) d)) d)) a))) |
(* -1 (* (pow d 3) (- (* -1 (/ (+ (* -1 (* b c)) (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d))) d)) a))) |
(* -1 (* b (* c (pow d 2)))) |
(* (pow d 2) (+ (* -1 (* b c)) (* -1 (/ (* b (pow c 3)) (pow d 2))))) |
(* (pow d 2) (+ (* -1 (* b c)) (* -1 (/ (* b (pow c 3)) (pow d 2))))) |
(* (pow d 2) (+ (* -1 (* b c)) (* -1 (/ (* b (pow c 3)) (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 (pow d 3))) |
(* -1 (* (pow d 3) (+ a (/ (* a (pow c 2)) (pow d 2))))) |
(* -1 (* (pow d 3) (+ a (/ (* a (pow c 2)) (pow d 2))))) |
(* -1 (* (pow d 3) (+ a (/ (* a (pow c 2)) (pow d 2))))) |
| Outputs |
|---|
(* -1 (/ (* a d) (pow c 2))) |
(*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(/.f64 (fma.f64 (neg.f64 a) d (*.f64 b c)) (*.f64 c c)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(/.f64 (fma.f64 (neg.f64 a) d (*.f64 b c)) (*.f64 c c)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(/.f64 (fma.f64 (neg.f64 a) d (*.f64 b c)) (*.f64 c c)) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(fma.f64 (/.f64 c d) (/.f64 b d) (/.f64 (neg.f64 a) d)) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(fma.f64 (fma.f64 a (/.f64 c (pow.f64 d #s(literal 3 binary64))) (/.f64 b (*.f64 d d))) c (/.f64 (neg.f64 a) d)) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 b) (/.f64 c (pow.f64 d #s(literal 4 binary64))) (/.f64 a (pow.f64 d #s(literal 3 binary64)))) c (/.f64 b (*.f64 d d))) c (/.f64 (neg.f64 a) d)) |
(/ (* a d) c) |
(/.f64 (*.f64 d a) c) |
(/ (+ (* -1 (* b c)) (* a d)) c) |
(/.f64 (fma.f64 (neg.f64 c) b (*.f64 d a)) c) |
(/ (+ (* -1 (* b c)) (* a d)) c) |
(/.f64 (fma.f64 (neg.f64 c) b (*.f64 d a)) c) |
(/ (+ (* -1 (* b c)) (* a d)) c) |
(/.f64 (fma.f64 (neg.f64 c) b (*.f64 d a)) c) |
(/ d c) |
(/.f64 d c) |
(/ d c) |
(/.f64 d c) |
(/ d c) |
(/.f64 d c) |
(/ d c) |
(/.f64 d c) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(+ (* -1 (/ a d)) (* c (- (/ b (pow d 2)) (* -1 (/ (* a (+ d (* -1 d))) (pow d 3)))))) |
(fma.f64 (-.f64 (/.f64 b (*.f64 d d)) (*.f64 a (/.f64 #s(literal 0 binary64) (pow.f64 d #s(literal 3 binary64))))) c (/.f64 (neg.f64 a) d)) |
(+ (* -1 (/ a d)) (* c (- (+ (* -1 (* c (+ (* -1 (/ (* a (+ 1 (/ (pow (+ d (* -1 d)) 2) (pow d 2)))) (pow d 3))) (/ (* (+ d (* -1 d)) (- (/ b (pow d 2)) (* -1 (/ (* a (+ d (* -1 d))) (pow d 3))))) (pow d 2))))) (/ b (pow d 2))) (* -1 (/ (* a (+ d (* -1 d))) (pow d 3)))))) |
(fma.f64 (fma.f64 (neg.f64 c) (fma.f64 #s(literal 0 binary64) (/.f64 (-.f64 (/.f64 b (*.f64 d d)) (*.f64 a (/.f64 #s(literal 0 binary64) (pow.f64 d #s(literal 3 binary64))))) (*.f64 d d)) (/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 0 binary64) (*.f64 d d)) a a)) (pow.f64 d #s(literal 3 binary64)))) (-.f64 (/.f64 b (*.f64 d d)) (*.f64 a (/.f64 #s(literal 0 binary64) (pow.f64 d #s(literal 3 binary64)))))) c (/.f64 (neg.f64 a) d)) |
(+ (* -1 (/ a d)) (* c (- (+ (* c (- (* -1 (* c (+ (* -1 (/ (* a (* (+ 1 (/ (pow (+ d (* -1 d)) 2) (pow d 2))) (+ d (* -1 d)))) (pow d 5))) (+ (* -1 (/ (* (+ d (* -1 d)) (+ (* -1 (/ (* a (+ 1 (/ (pow (+ d (* -1 d)) 2) (pow d 2)))) (pow d 3))) (/ (* (+ d (* -1 d)) (- (/ b (pow d 2)) (* -1 (/ (* a (+ d (* -1 d))) (pow d 3))))) (pow d 2)))) (pow d 2))) (/ (* (+ 1 (/ (pow (+ d (* -1 d)) 2) (pow d 2))) (- (/ b (pow d 2)) (* -1 (/ (* a (+ d (* -1 d))) (pow d 3))))) (pow d 2)))))) (+ (* -1 (/ (* a (+ 1 (/ (pow (+ d (* -1 d)) 2) (pow d 2)))) (pow d 3))) (/ (* (+ d (* -1 d)) (- (/ b (pow d 2)) (* -1 (/ (* a (+ d (* -1 d))) (pow d 3))))) (pow d 2))))) (/ b (pow d 2))) (* -1 (/ (* a (+ d (* -1 d))) (pow d 3)))))) |
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(/.f64 (*.f64 b c) d) |
(/ (* b c) d) |
(/.f64 (*.f64 b c) d) |
(/ (* b c) d) |
(/.f64 (*.f64 b c) d) |
(/ (* b c) d) |
(/.f64 (*.f64 b c) d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 b) (/.f64 c d) a)) d) |
(* -1 (/ (+ a (* -1 (/ (- (+ (* -1 (/ (* a (pow c 2)) d)) (* b c)) (* -2 (/ (* a (pow c 2)) d))) d))) d)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 a) (/.f64 (*.f64 c c) d) (fma.f64 b c (*.f64 (/.f64 (*.f64 (*.f64 c c) a) d) #s(literal 2 binary64)))) d)) (neg.f64 d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (- (* -1 (* a (pow c 2))) (* -2 (* a (pow c 2))))) (* -1 (/ (* b (pow c 3)) d))) (* -2 (/ (* b (pow c 3)) d))) d)) (* b c)) d))) d)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 b c (/.f64 (fma.f64 (neg.f64 a) (*.f64 c c) (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) b) d) #s(literal 1 binary64))) (neg.f64 d))) d)) (neg.f64 d)) |
(* a (pow d 3)) |
(*.f64 (pow.f64 d #s(literal 3 binary64)) a) |
(* -1 (* (pow d 3) (- (/ (* b c) d) a))) |
(*.f64 (fma.f64 (neg.f64 b) (/.f64 c d) a) (pow.f64 d #s(literal 3 binary64))) |
(* -1 (* (pow d 3) (- (* -1 (/ (+ (* -1 (* b c)) (/ (* a (pow c 2)) d)) d)) a))) |
(*.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 c) b (/.f64 (*.f64 (*.f64 c c) a) d)) d) a))) (pow.f64 d #s(literal 3 binary64))) |
(* -1 (* (pow d 3) (- (* -1 (/ (+ (* -1 (* b c)) (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d))) d)) a))) |
(*.f64 (neg.f64 (pow.f64 d #s(literal 3 binary64))) (-.f64 (/.f64 (fma.f64 (neg.f64 c) b (/.f64 (fma.f64 (neg.f64 b) (/.f64 (pow.f64 c #s(literal 3 binary64)) d) (*.f64 (*.f64 c c) a)) d)) (neg.f64 d)) a)) |
(* -1 (* b (* c (pow d 2)))) |
(*.f64 (neg.f64 b) (*.f64 (*.f64 d d) c)) |
(* (pow d 2) (+ (* -1 (* b c)) (* -1 (/ (* b (pow c 3)) (pow d 2))))) |
(*.f64 (neg.f64 (*.f64 b (+.f64 c (/.f64 (pow.f64 c #s(literal 3 binary64)) (*.f64 d d))))) (*.f64 d d)) |
(* (pow d 2) (+ (* -1 (* b c)) (* -1 (/ (* b (pow c 3)) (pow d 2))))) |
(*.f64 (neg.f64 (*.f64 b (+.f64 c (/.f64 (pow.f64 c #s(literal 3 binary64)) (*.f64 d d))))) (*.f64 d d)) |
(* (pow d 2) (+ (* -1 (* b c)) (* -1 (/ (* b (pow c 3)) (pow d 2))))) |
(*.f64 (neg.f64 (*.f64 b (+.f64 c (/.f64 (pow.f64 c #s(literal 3 binary64)) (*.f64 d d))))) (*.f64 d d)) |
(pow d 2) |
(*.f64 d d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) (*.f64 d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) (*.f64 d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) (*.f64 d d)) |
(* -1 (* a (pow d 3))) |
(*.f64 (neg.f64 a) (pow.f64 d #s(literal 3 binary64))) |
(* -1 (* (pow d 3) (+ a (/ (* a (pow c 2)) (pow d 2))))) |
(*.f64 (neg.f64 (pow.f64 d #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 c c) d) (/.f64 a d) a)) |
(* -1 (* (pow d 3) (+ a (/ (* a (pow c 2)) (pow d 2))))) |
(*.f64 (neg.f64 (pow.f64 d #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 c c) d) (/.f64 a d) a)) |
(* -1 (* (pow d 3) (+ a (/ (* a (pow c 2)) (pow d 2))))) |
(*.f64 (neg.f64 (pow.f64 d #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 c c) d) (/.f64 a d) a)) |
| 5 746× | lower-*.f32 |
| 5 732× | lower-*.f64 |
| 4 386× | lower-fma.f32 |
| 4 382× | lower-fma.f64 |
| 3 796× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 308 |
| 0 | 75 | 298 |
| 1 | 346 | 244 |
| 2 | 2884 | 244 |
| 0 | 8393 | 214 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 a (/.f64 d c) (neg.f64 b)) (neg.f64 c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 (fma.f64 a (/.f64 d c) (neg.f64 b)) (neg.f64 c))) |
(fma.f64 a (/.f64 d c) (neg.f64 b)) |
(/.f64 d c) |
#s(approx (/ (- (* b c) (* a d)) (+ (* (* c c) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) (/.f64 (neg.f64 a) d)) |
(/.f64 (neg.f64 a) d) |
(neg.f64 a) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) |
#s(approx (- (* b c) (* a d)) (*.f64 c b)) |
(*.f64 c b) |
(*.f64 c c) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.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 (-.f64 (*.f64 (*.f64 c b) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) (*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (*.f64 (neg.f64 d) a))) (*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d))))) |
(-.f64 (*.f64 (*.f64 c b) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) (*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (*.f64 (neg.f64 d) a))) |
(*.f64 (*.f64 c b) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) |
(neg.f64 b) |
#s(approx (+ (* c c) (* d d)) (*.f64 d d)) |
(*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (*.f64 (neg.f64 d) a)) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (neg.f64 c) (-.f64 (pow.f64 (*.f64 (/.f64 d c) a) #s(literal 2 binary64)) (*.f64 b b))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 d c) a (*.f64 #s(literal 1 binary64) b)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (neg.f64 c) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 d c) a) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (hypot.f64 (*.f64 (/.f64 d c) a) b) (*.f64 (*.f64 (/.f64 d c) a) (neg.f64 b))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) c)) |
(*.f64 (/.f64 #s(literal -1 binary64) c) (pow.f64 (pow.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) c) (fma.f64 (/.f64 d c) a (neg.f64 b))) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (neg.f64 c))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 d c) a (neg.f64 b))) (pow.f64 c #s(literal -1 binary64))) |
(*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (/.f64 #s(literal -1 binary64) c)) |
(pow.f64 (/.f64 (/.f64 (neg.f64 c) (fma.f64 (/.f64 d c) a (neg.f64 b))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (neg.f64 c) (fma.f64 (/.f64 d c) a (neg.f64 b))) #s(literal -1 binary64)) |
(/.f64 (/.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) #s(literal -1 binary64)) c) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 d c) a) #s(literal 2 binary64)) (*.f64 b b)) (/.f64 #s(literal -1 binary64) c)) (fma.f64 (/.f64 d c) a (*.f64 #s(literal 1 binary64) b))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 d c) a) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) c)) (-.f64 (hypot.f64 (*.f64 (/.f64 d c) a) b) (*.f64 (*.f64 (/.f64 d c) a) (neg.f64 b)))) |
(/.f64 (*.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) #s(literal 1 binary64)) (neg.f64 c)) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)))) (neg.f64 c)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 d c) a) #s(literal 2 binary64)) (*.f64 b b)) #s(literal 1 binary64)) (*.f64 (fma.f64 (/.f64 d c) a (*.f64 #s(literal 1 binary64) b)) (neg.f64 c))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 d c) a) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (hypot.f64 (*.f64 (/.f64 d c) a) b) (*.f64 (*.f64 (/.f64 d c) a) (neg.f64 b))) (neg.f64 c))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 d c) a) #s(literal 2 binary64)) (*.f64 b b)) (*.f64 (neg.f64 c) (fma.f64 (/.f64 d c) a (*.f64 #s(literal 1 binary64) b)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (neg.f64 c) (fma.f64 (/.f64 d c) a (neg.f64 b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 c) (fma.f64 (/.f64 d c) a (neg.f64 b))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 c) (fma.f64 (/.f64 d c) a (neg.f64 b)))) |
(/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 d c) a) #s(literal 3 binary64))) (*.f64 (neg.f64 c) (-.f64 (hypot.f64 (*.f64 (/.f64 d c) a) b) (*.f64 (*.f64 (/.f64 d c) a) (neg.f64 b))))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 d c) a (neg.f64 b))) c) |
(/.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (neg.f64 c)) |
(neg.f64 (/.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) c)) |
(-.f64 (/.f64 (*.f64 (/.f64 d c) a) (neg.f64 c)) (/.f64 b (neg.f64 c))) |
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) c)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 c) (fma.f64 (/.f64 d c) a (neg.f64 b)))) #s(literal -1 binary64))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 d c) a (neg.f64 b)) (neg.f64 c))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 d c) a) #s(literal 2 binary64)) (*.f64 b b)) (pow.f64 (fma.f64 (/.f64 d c) a (*.f64 #s(literal 1 binary64) b)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 d c) a) #s(literal 3 binary64))) (pow.f64 (-.f64 (hypot.f64 (*.f64 (/.f64 d c) a) b) (*.f64 (*.f64 (/.f64 d c) a) (neg.f64 b))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (/.f64 d c) a (*.f64 #s(literal 1 binary64) b)) (-.f64 (pow.f64 (*.f64 (/.f64 d c) a) #s(literal 2 binary64)) (*.f64 b b))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (hypot.f64 (*.f64 (/.f64 d c) a) b) (*.f64 (*.f64 (/.f64 d c) a) (neg.f64 b))) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 d c) a) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (fma.f64 (*.f64 a #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) b) (*.f64 (/.f64 c d) (-.f64 #s(literal 0 binary64) (*.f64 b b)))) (*.f64 (/.f64 c d) (+.f64 #s(literal 0 binary64) b))) |
(/.f64 (fma.f64 (*.f64 a #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))) (*.f64 (/.f64 c d) (-.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 3 binary64))))) (*.f64 (/.f64 c d) (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) b) (*.f64 (/.f64 c (*.f64 d a)) (-.f64 #s(literal 0 binary64) (*.f64 b b)))) (*.f64 (/.f64 c (*.f64 d a)) (+.f64 #s(literal 0 binary64) b))) |
(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))) (*.f64 (/.f64 c (*.f64 d a)) (-.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 3 binary64))))) (*.f64 (/.f64 c (*.f64 d a)) (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 d) a) (+.f64 #s(literal 0 binary64) b) (*.f64 (neg.f64 c) (-.f64 #s(literal 0 binary64) (*.f64 b b)))) (*.f64 (neg.f64 c) (+.f64 #s(literal 0 binary64) b))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 d) a) (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))) (*.f64 (neg.f64 c) (-.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 3 binary64))))) (*.f64 (neg.f64 c) (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))))) |
(/.f64 (fma.f64 (*.f64 d a) (+.f64 #s(literal 0 binary64) b) (*.f64 c (-.f64 #s(literal 0 binary64) (*.f64 b b)))) (*.f64 c (+.f64 #s(literal 0 binary64) b))) |
(/.f64 (fma.f64 (*.f64 d a) (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))) (*.f64 c (-.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 3 binary64))))) (*.f64 c (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))))) |
(/.f64 (fma.f64 a (+.f64 #s(literal 0 binary64) b) (*.f64 (/.f64 c d) (-.f64 #s(literal 0 binary64) (*.f64 b b)))) (*.f64 (/.f64 c d) (+.f64 #s(literal 0 binary64) b))) |
(/.f64 (fma.f64 a (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))) (*.f64 (/.f64 c d) (-.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 3 binary64))))) (*.f64 (/.f64 c d) (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))))) |
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (/.f64 c d) (*.f64 (+.f64 #s(literal 0 binary64) b) (*.f64 a #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 0 binary64) b) (/.f64 c d))) |
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (/.f64 c (*.f64 d a)) (*.f64 (+.f64 #s(literal 0 binary64) b) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) b) (/.f64 c (*.f64 d a)))) |
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (neg.f64 c) (*.f64 (+.f64 #s(literal 0 binary64) b) (*.f64 (neg.f64 d) a))) (*.f64 (+.f64 #s(literal 0 binary64) b) (neg.f64 c))) |
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) c (*.f64 (+.f64 #s(literal 0 binary64) b) (*.f64 d a))) (*.f64 (+.f64 #s(literal 0 binary64) b) c)) |
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (/.f64 c d) (*.f64 (+.f64 #s(literal 0 binary64) b) a)) (*.f64 (+.f64 #s(literal 0 binary64) b) (/.f64 c d))) |
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 3 binary64))) (/.f64 c d) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))) (*.f64 a #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))) (/.f64 c d))) |
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 3 binary64))) (/.f64 c (*.f64 d a)) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))) (/.f64 c (*.f64 d a)))) |
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 3 binary64))) (neg.f64 c) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))) (*.f64 (neg.f64 d) a))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))) (neg.f64 c))) |
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 3 binary64))) c (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))) (*.f64 d a))) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))) c)) |
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 b #s(literal 3 binary64))) (/.f64 c d) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))) a)) (*.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b b (*.f64 #s(literal 0 binary64) b))) (/.f64 c d))) |
(/.f64 (-.f64 (*.f64 b b) (pow.f64 (*.f64 (/.f64 d c) a) #s(literal 2 binary64))) (-.f64 (neg.f64 b) (*.f64 (/.f64 d c) a))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 d c) a) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 d c) a) #s(literal 2 binary64)) (fma.f64 b b (*.f64 (*.f64 (/.f64 d c) a) b)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 d c) a) #s(literal 2 binary64)) (*.f64 b b))) (neg.f64 (fma.f64 (/.f64 d c) a (*.f64 #s(literal 1 binary64) b)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 d c) a) #s(literal 3 binary64)))) (neg.f64 (-.f64 (hypot.f64 (*.f64 (/.f64 d c) a) b) (*.f64 (*.f64 (/.f64 d c) a) (neg.f64 b))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 d c) a) #s(literal 2 binary64)) (*.f64 b b)) (fma.f64 (/.f64 d c) a b)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 d c) a) #s(literal 2 binary64)) (*.f64 b b)) (fma.f64 (/.f64 d c) a (*.f64 #s(literal 1 binary64) b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 d c) a (*.f64 #s(literal 1 binary64) b)) (-.f64 (pow.f64 (*.f64 (/.f64 d c) a) #s(literal 2 binary64)) (*.f64 b b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (hypot.f64 (*.f64 (/.f64 d c) a) b) (*.f64 (*.f64 (/.f64 d c) a) (neg.f64 b))) (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 d c) a) #s(literal 3 binary64))))) |
(/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 d c) a) #s(literal 3 binary64))) (fma.f64 b b (-.f64 (pow.f64 (*.f64 (/.f64 d c) a) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 d c) a) (neg.f64 b))))) |
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(fma.f64 #s(literal -1 binary64) b (*.f64 (/.f64 d c) a)) |
(fma.f64 (*.f64 d a) (pow.f64 c #s(literal -1 binary64)) (neg.f64 b)) |
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(fma.f64 d (*.f64 (pow.f64 c #s(literal -1 binary64)) a) (neg.f64 b)) |
(fma.f64 a (/.f64 d c) (neg.f64 b)) |
(-.f64 (fma.f64 (/.f64 d c) a #s(literal 0 binary64)) b) |
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(-.f64 #s(literal 0 binary64) (-.f64 b (*.f64 (/.f64 d c) a))) |
(-.f64 (*.f64 (/.f64 d c) a) b) |
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(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 c)) (/.f64 d (neg.f64 c))) |
(exp.f64 (*.f64 (log.f64 (/.f64 c d)) #s(literal -1 binary64))) |
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#s(approx (- (* b c) (* a d)) (*.f64 b c)) |
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(pow.f64 (/.f64 d (-.f64 (/.f64 (*.f64 b c) d) a)) #s(literal -1 binary64)) |
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(*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (*.f64 (neg.f64 d) a)) |
(*.f64 a (*.f64 (neg.f64 d) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) |
(neg.f64 (*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (*.f64 d a))) |
(neg.f64 (*.f64 (*.f64 d a) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) |
Compiled 28 590 to 2 500 computations (91.3% saved)
20 alts after pruning (16 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 334 | 10 | 1 344 |
| Fresh | 5 | 6 | 11 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 342 | 20 | 1 362 |
| Status | Accuracy | Program |
|---|---|---|
| 36.3% | (/.f64 (fma.f64 c b (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| ✓ | 36.9% | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
| ▶ | 40.0% | (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) (fma.f64 d d (*.f64 c c))) |
| 27.4% | (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| ✓ | 38.6% | (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) |
| ▶ | 22.1% | (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
| ▶ | 56.8% | #s(approx (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c)) |
| 39.8% | #s(approx (/ (- (* b c) (* a d)) (+ (* (* c c) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 a c) (*.f64 b (/.f64 #s(literal 0 binary64) (pow.f64 c #s(literal 3 binary64))))) (*.f64 c c)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 c c))) b) (pow.f64 c #s(literal 3 binary64)))) c) (/.f64 #s(literal 0 binary64) c) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 c c))) c) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 a c) (*.f64 b (/.f64 #s(literal 0 binary64) (pow.f64 c #s(literal 3 binary64))))) c) (*.f64 (neg.f64 b) (/.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 c c)))) (pow.f64 c #s(literal 5 binary64)))))) d (fma.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 a c) (*.f64 b (/.f64 #s(literal 0 binary64) (pow.f64 c #s(literal 3 binary64))))) (*.f64 c c)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 c c))) b) (pow.f64 c #s(literal 3 binary64)))))) d (fma.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 a c) (*.f64 b (/.f64 #s(literal 0 binary64) (pow.f64 c #s(literal 3 binary64)))))) d (/.f64 b c))) | |
| 38.4% | #s(approx (/ (- (* b c) (* a d)) (+ (* (* c c) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 c c)))) (pow.f64 c #s(literal 5 binary64))) (fma.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 a (*.f64 c c)) #s(literal -1 binary64) (*.f64 b (/.f64 #s(literal 0 binary64) (pow.f64 c #s(literal 3 binary64))))) c) (/.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 c c))) b) (pow.f64 c #s(literal 3 binary64)))) (*.f64 c c)) (*.f64 (/.f64 (fma.f64 (/.f64 a (*.f64 c c)) #s(literal -1 binary64) (*.f64 b (/.f64 #s(literal 0 binary64) (pow.f64 c #s(literal 3 binary64))))) c) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 c c))) c)))) d (fma.f64 (/.f64 (fma.f64 (/.f64 a (*.f64 c c)) #s(literal -1 binary64) (*.f64 b (/.f64 #s(literal 0 binary64) (pow.f64 c #s(literal 3 binary64))))) c) (/.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 c c))) b) (pow.f64 c #s(literal 3 binary64)))))) d (fma.f64 (/.f64 a (*.f64 c c)) #s(literal -1 binary64) (*.f64 b (/.f64 #s(literal 0 binary64) (pow.f64 c #s(literal 3 binary64)))))) d (/.f64 b c))) | |
| ✓ | 41.9% | #s(approx (/ (- (* b c) (* a d)) (+ (* (* c c) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) (/.f64 (neg.f64 a) d)) |
| 41.7% | #s(approx (/ (- (* b c) (* a d)) (+ (* (* c c) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) a))) | |
| 53.2% | #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) | |
| 24.1% | #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 #s(approx (- (/ (* c b) d) a) (/.f64 (*.f64 b c) d)) d)) | |
| 21.7% | #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 #s(approx (+ (* a (/ d c)) (neg b)) (/.f64 (*.f64 d a) c)) (neg.f64 c))) | |
| ▶ | 53.1% | #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (/.f64 d (-.f64 (/.f64 (*.f64 b c) d) a)))) |
| ▶ | 23.9% | #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d)))) |
| 24.6% | #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (+ (* a (/ d c)) (neg b)) (neg c)) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) | |
| 42.3% | #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (+ (* a (/ d c)) (neg b)) (neg c)) (*.f64 (-.f64 (/.f64 b (*.f64 c a)) (/.f64 d (*.f64 c c))) a))) | |
| ✓ | 42.4% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
| 41.9% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) |
Compiled 870 to 454 computations (47.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 (/.f64 (*.f64 b c) d) a) | |
| cost-diff | 0 | (/.f64 d (-.f64 (/.f64 (*.f64 b c) d) a)) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (/.f64 d (-.f64 (/.f64 (*.f64 b c) d) a)))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 d (-.f64 (/.f64 (*.f64 b c) d) a))) | |
| 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)) (fma.f64 d d (*.f64 c c))) | |
| cost-diff | 0 | (/.f64 c d) | |
| cost-diff | 0 | (*.f64 (/.f64 c d) (/.f64 b d)) | |
| cost-diff | 0 | #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d))) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d)))) | |
| cost-diff | 0 | #s(approx (+ (* c c) (* d d)) (*.f64 d d)) | |
| 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 d d))) | |
| cost-diff | 0 | (neg.f64 a) | |
| cost-diff | 0 | (fma.f64 (neg.f64 a) (/.f64 d c) b) | |
| cost-diff | 0 | (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c) | |
| cost-diff | 0 | #s(approx (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c)) |
| 6 342× | lower-fma.f32 |
| 6 338× | lower-fma.f64 |
| 3 130× | lower-*.f32 |
| 3 118× | lower-*.f64 |
| 1 762× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 311 |
| 0 | 71 | 305 |
| 1 | 145 | 297 |
| 2 | 405 | 279 |
| 3 | 2096 | 277 |
| 4 | 6108 | 277 |
| 0 | 8129 | 256 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c)) |
(/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c) |
(fma.f64 (neg.f64 a) (/.f64 d c) b) |
(neg.f64 a) |
a |
(/.f64 d c) |
d |
c |
b |
(/.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)) (*.f64 c b)) |
(*.f64 c b) |
c |
b |
#s(approx (+ (* c c) (* d d)) (*.f64 d d)) |
(*.f64 d d) |
d |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d)))) |
#s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d))) |
(*.f64 (/.f64 c d) (/.f64 b d)) |
(/.f64 c d) |
c |
d |
(/.f64 b d) |
b |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) (fma.f64 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 |
(fma.f64 d d (*.f64 c c)) |
(*.f64 c c) |
c |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (/.f64 d (-.f64 (/.f64 (*.f64 b c) d) a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 d (-.f64 (/.f64 (*.f64 b c) d) a))) |
#s(literal 1 binary64) |
(/.f64 d (-.f64 (/.f64 (*.f64 b c) d) a)) |
d |
(-.f64 (/.f64 (*.f64 b c) d) a) |
(/.f64 (*.f64 b c) d) |
(*.f64 b c) |
b |
c |
a |
| Outputs |
|---|
#s(approx (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c)) |
#s(approx (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/.f64 (fma.f64 (/.f64 d c) (neg.f64 a) b) c)) |
(/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c) |
(/.f64 (fma.f64 (/.f64 d c) (neg.f64 a) b) c) |
(fma.f64 (neg.f64 a) (/.f64 d c) b) |
(fma.f64 (/.f64 d c) (neg.f64 a) b) |
(neg.f64 a) |
a |
(/.f64 d c) |
d |
c |
b |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (- (* b c) (* a d)) (*.f64 c b)) |
#s(approx (- (* b c) (* a d)) (*.f64 b c)) |
(*.f64 c b) |
(*.f64 b c) |
c |
b |
#s(approx (+ (* c c) (* d d)) (*.f64 d d)) |
(*.f64 d d) |
d |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d)))) |
#s(approx (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 (/.f64 c d) d) b))) |
#s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d))) |
#s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 (/.f64 c d) d) b)) |
(*.f64 (/.f64 c d) (/.f64 b d)) |
(*.f64 (/.f64 (/.f64 c d) d) b) |
(/.f64 c d) |
c |
d |
(/.f64 b d) |
b |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) (fma.f64 d d (*.f64 c c))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) (hypot.f64 d c)) |
#s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) |
(*.f64 (neg.f64 a) d) |
(neg.f64 a) |
a |
d |
(fma.f64 d d (*.f64 c c)) |
(hypot.f64 d c) |
(*.f64 c c) |
c |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (/.f64 d (-.f64 (/.f64 (*.f64 b c) d) a)))) |
#s(approx (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) |
(/.f64 #s(literal 1 binary64) (/.f64 d (-.f64 (/.f64 (*.f64 b c) d) a))) |
(/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) |
#s(literal 1 binary64) |
(/.f64 d (-.f64 (/.f64 (*.f64 b c) d) a)) |
(/.f64 d (fma.f64 (/.f64 b d) c (neg.f64 a))) |
d |
(-.f64 (/.f64 (*.f64 b c) d) a) |
(fma.f64 (/.f64 b d) c (neg.f64 a)) |
(/.f64 (*.f64 b c) d) |
(*.f64 (/.f64 b d) c) |
(*.f64 b c) |
b |
c |
a |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.31354205958720327 | (/.f64 #s(literal 1 binary64) (/.f64 d (-.f64 (/.f64 (*.f64 b c) d) a))) | |
| accuracy | 1.457993526278958 | (/.f64 d (-.f64 (/.f64 (*.f64 b c) d) a)) | |
| accuracy | 4.573907525382667 | (/.f64 (*.f64 b c) d) | |
| accuracy | 29.20424829677078 | #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (/.f64 d (-.f64 (/.f64 (*.f64 b c) d) a)))) | |
| accuracy | 0 | (*.f64 c c) | |
| accuracy | 0 | (neg.f64 a) | |
| accuracy | 23.95416351192377 | (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) (fma.f64 d d (*.f64 c c))) | |
| accuracy | 29.95553203749171 | #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) | |
| accuracy | 0 | (/.f64 b d) | |
| accuracy | 2.0443670051783633 | (*.f64 (/.f64 c d) (/.f64 b d)) | |
| accuracy | 27.071880161316148 | #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d))) | |
| accuracy | 29.20424829677078 | #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d)))) | |
| accuracy | 0 | (*.f64 c b) | |
| accuracy | 23.95416351192377 | (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| accuracy | 27.12834695556548 | #s(approx (+ (* c c) (* d d)) (*.f64 d d)) | |
| accuracy | 31.093439697019456 | #s(approx (- (* b c) (* a d)) (*.f64 c b)) | |
| accuracy | 0 | (neg.f64 a) | |
| accuracy | 0.31160487170753504 | (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c) | |
| accuracy | 1.7386451847142805 | (fma.f64 (neg.f64 a) (/.f64 d c) b) | |
| accuracy | 27.625735154406307 | #s(approx (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c)) |
| 70.0ms | 256× | 0 | valid |
Compiled 245 to 41 computations (83.3% saved)
ival-mult: 21.0ms (40.9% of total)ival-div: 19.0ms (37% of total)ival-sub: 5.0ms (9.7% of total)ival-add: 3.0ms (5.8% of total)ival-neg: 3.0ms (5.8% 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 (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c)) (patch #s(approx (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c)) #<representation:binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c) (patch (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c) #<representation:binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 a) (/.f64 d c) b) (patch (fma.f64 (neg.f64 a) (/.f64 d c) b) #<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 d d))) (patch (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) #<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 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation:binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d)))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d)))) #<representation:binary64>) () ()) |
#s(alt #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d))) (patch #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d))) #<representation:binary64>) () ()) |
#s(alt (*.f64 (/.f64 c d) (/.f64 b d)) (patch (*.f64 (/.f64 c d) (/.f64 b d)) #<representation:binary64>) () ()) |
#s(alt (/.f64 c d) (patch (/.f64 c d) #<representation:binary64>) () ()) |
#s(alt (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) (fma.f64 d d (*.f64 c c))) (patch (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) (fma.f64 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 (/.f64 #s(literal 1 binary64) (/.f64 d (-.f64 (/.f64 (*.f64 b c) d) a))) (patch (/.f64 #s(literal 1 binary64) (/.f64 d (-.f64 (/.f64 (*.f64 b c) d) a))) #<representation:binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (/.f64 d (-.f64 (/.f64 (*.f64 b c) d) a)))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (/.f64 d (-.f64 (/.f64 (*.f64 b c) d) a)))) #<representation:binary64>) () ()) |
#s(alt (/.f64 d (-.f64 (/.f64 (*.f64 b c) d) a)) (patch (/.f64 d (-.f64 (/.f64 (*.f64 b c) d) a)) #<representation:binary64>) () ()) |
#s(alt (-.f64 (/.f64 (*.f64 b c) d) a) (patch (-.f64 (/.f64 (*.f64 b c) d) a) #<representation:binary64>) () ()) |
#s(alt (/.f64 b d) (patch (/.f64 b d) #<representation:binary64>) () ()) |
#s(alt (*.f64 c c) (patch (*.f64 c c) #<representation:binary64>) () ()) |
#s(alt (/.f64 (*.f64 b c) d) (patch (/.f64 (*.f64 b c) d) #<representation:binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt #s(approx (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c)) (patch #s(approx (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c)) (patch #s(approx (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (* -1 (* c (- (/ a (pow d 3)) (* 2 (/ a (pow d 3)))))) (/ b (pow d 2))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c)) (patch #s(approx (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (* c (+ (* -1 (* c (- (* -1 (/ b (pow d 4))) (* -2 (/ b (pow d 4)))))) (* -1 (- (/ a (pow d 3)) (* 2 (/ a (pow d 3))))))) (/ b (pow d 2))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c)) (patch #s(approx (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) (pow c 2))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c) (patch (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c) #<representation:binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c) (patch (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c) #<representation:binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c) (patch (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c) #<representation:binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c) (patch (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) c)) (taylor 0 c) (#s(alt (fma.f64 (neg.f64 a) (/.f64 d c) b) (patch (fma.f64 (neg.f64 a) (/.f64 d c) b) #<representation:binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* a d)) (* b c)) c) (taylor 0 c) (#s(alt (fma.f64 (neg.f64 a) (/.f64 d c) b) (patch (fma.f64 (neg.f64 a) (/.f64 d c) b) #<representation:binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* a d)) (* b c)) c) (taylor 0 c) (#s(alt (fma.f64 (neg.f64 a) (/.f64 d c) b) (patch (fma.f64 (neg.f64 a) (/.f64 d c) b) #<representation:binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* a d)) (* b c)) c) (taylor 0 c) (#s(alt (fma.f64 (neg.f64 a) (/.f64 d c) b) (patch (fma.f64 (neg.f64 a) (/.f64 d c) b) #<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 d d))) (patch (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) #<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 d d))) (patch (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.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 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) (patch (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.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 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) (patch (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) #<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 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d)))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d)))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d)))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 c d) (/.f64 b 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)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d)))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 c d) (/.f64 b 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)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d)))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d)))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d))) (patch #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d))) (patch #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d))) (patch #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d))) (patch #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d))) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* b c) (pow d 2)) (taylor 0 c) (#s(alt (*.f64 (/.f64 c d) (/.f64 b d)) (patch (*.f64 (/.f64 c d) (/.f64 b d)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* b c) (pow d 2)) (taylor 0 c) (#s(alt (*.f64 (/.f64 c d) (/.f64 b d)) (patch (*.f64 (/.f64 c d) (/.f64 b d)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* b c) (pow d 2)) (taylor 0 c) (#s(alt (*.f64 (/.f64 c d) (/.f64 b d)) (patch (*.f64 (/.f64 c d) (/.f64 b d)) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* b c) (pow d 2)) (taylor 0 c) (#s(alt (*.f64 (/.f64 c d) (/.f64 b d)) (patch (*.f64 (/.f64 c d) (/.f64 b d)) #<representation:binary64>) () ())) ()) |
#s(alt (/ c d) (taylor 0 c) (#s(alt (/.f64 c d) (patch (/.f64 c d) #<representation:binary64>) () ())) ()) |
#s(alt (/ c d) (taylor 0 c) (#s(alt (/.f64 c d) (patch (/.f64 c d) #<representation:binary64>) () ())) ()) |
#s(alt (/ c d) (taylor 0 c) (#s(alt (/.f64 c d) (patch (/.f64 c d) #<representation:binary64>) () ())) ()) |
#s(alt (/ c d) (taylor 0 c) (#s(alt (/.f64 c d) (patch (/.f64 c d) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) (fma.f64 d d (*.f64 c c))) (patch (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) (fma.f64 d d (*.f64 c c))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) (fma.f64 d d (*.f64 c c))) (patch (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) (fma.f64 d d (*.f64 c c))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) (taylor 0 c) (#s(alt (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) (fma.f64 d d (*.f64 c c))) (patch (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) (fma.f64 d d (*.f64 c c))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) (taylor 0 c) (#s(alt (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) (fma.f64 d d (*.f64 c c))) (patch (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) (fma.f64 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)) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 d (-.f64 (/.f64 (*.f64 b c) d) a))) (patch (/.f64 #s(literal 1 binary64) (/.f64 d (-.f64 (/.f64 (*.f64 b c) d) a))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 d (-.f64 (/.f64 (*.f64 b c) d) a))) (patch (/.f64 #s(literal 1 binary64) (/.f64 d (-.f64 (/.f64 (*.f64 b c) d) a))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 d (-.f64 (/.f64 (*.f64 b c) d) a))) (patch (/.f64 #s(literal 1 binary64) (/.f64 d (-.f64 (/.f64 (*.f64 b c) d) a))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 d (-.f64 (/.f64 (*.f64 b c) d) a))) (patch (/.f64 #s(literal 1 binary64) (/.f64 d (-.f64 (/.f64 (*.f64 b c) d) a))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (/.f64 d (-.f64 (/.f64 (*.f64 b c) d) a)))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (/.f64 d (-.f64 (/.f64 (*.f64 b c) d) a)))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (/.f64 d (-.f64 (/.f64 (*.f64 b c) d) a)))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (/.f64 d (-.f64 (/.f64 (*.f64 b c) d) a)))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (/.f64 d (-.f64 (/.f64 (*.f64 b c) d) a)))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (/.f64 d (-.f64 (/.f64 (*.f64 b c) d) a)))) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (/.f64 d (-.f64 (/.f64 (*.f64 b c) d) a)))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (/.f64 d (-.f64 (/.f64 (*.f64 b c) d) a)))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (/ d a)) (taylor 0 c) (#s(alt (/.f64 d (-.f64 (/.f64 (*.f64 b c) d) a)) (patch (/.f64 d (-.f64 (/.f64 (*.f64 b c) d) a)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ d a)) (* -1 (/ (* b c) (pow a 2)))) (taylor 0 c) (#s(alt (/.f64 d (-.f64 (/.f64 (*.f64 b c) d) a)) (patch (/.f64 d (-.f64 (/.f64 (*.f64 b c) d) a)) #<representation:binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ d a)) (* c (- (* -1 (/ (* (pow b 2) c) (* (pow a 3) d))) (/ b (pow a 2))))) (taylor 0 c) (#s(alt (/.f64 d (-.f64 (/.f64 (*.f64 b c) d) a)) (patch (/.f64 d (-.f64 (/.f64 (*.f64 b c) d) a)) #<representation:binary64>) () ())) ()) |
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#s(alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) (taylor -inf d) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 d (-.f64 (/.f64 (*.f64 b c) d) a))) (patch (/.f64 #s(literal 1 binary64) (/.f64 d (-.f64 (/.f64 (*.f64 b c) d) a))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (/.f64 d (-.f64 (/.f64 (*.f64 b c) d) a)))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (/.f64 d (-.f64 (/.f64 (*.f64 b c) d) a)))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (/.f64 d (-.f64 (/.f64 (*.f64 b c) d) a)))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (/.f64 d (-.f64 (/.f64 (*.f64 b c) d) a)))) #<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)) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (/.f64 d (-.f64 (/.f64 (*.f64 b c) d) a)))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (/.f64 d (-.f64 (/.f64 (*.f64 b c) d) a)))) #<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)) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (/.f64 d (-.f64 (/.f64 (*.f64 b c) d) a)))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (/.f64 d (-.f64 (/.f64 (*.f64 b c) d) a)))) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (/ d a)) (taylor -inf d) (#s(alt (/.f64 d (-.f64 (/.f64 (*.f64 b c) d) a)) (patch (/.f64 d (-.f64 (/.f64 (*.f64 b c) d) a)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (/ 1 a) (/ (* b c) (* (pow a 2) d))))) (taylor -inf d) (#s(alt (/.f64 d (-.f64 (/.f64 (*.f64 b c) d) a)) (patch (/.f64 d (-.f64 (/.f64 (*.f64 b c) d) a)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (* -1 (/ (- (* -1 (/ (* (pow b 2) (pow c 2)) (* (pow a 3) d))) (/ (* b c) (pow a 2))) d)) (/ 1 a)))) (taylor -inf d) (#s(alt (/.f64 d (-.f64 (/.f64 (*.f64 b c) d) a)) (patch (/.f64 d (-.f64 (/.f64 (*.f64 b c) d) a)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (pow c 3)) (* (pow a 4) d)) (* -1 (/ (* (pow b 2) (pow c 2)) (pow a 3)))) d)) (/ (* b c) (pow a 2))) d)) (/ 1 a)))) (taylor -inf d) (#s(alt (/.f64 d (-.f64 (/.f64 (*.f64 b c) d) a)) (patch (/.f64 d (-.f64 (/.f64 (*.f64 b c) d) a)) #<representation:binary64>) () ())) ()) |
#s(alt (* -1 a) (taylor -inf d) (#s(alt (-.f64 (/.f64 (*.f64 b c) d) a) (patch (-.f64 (/.f64 (*.f64 b c) d) a) #<representation:binary64>) () ())) ()) |
#s(alt (- (/ (* b c) d) a) (taylor -inf d) (#s(alt (-.f64 (/.f64 (*.f64 b c) d) a) (patch (-.f64 (/.f64 (*.f64 b c) d) a) #<representation:binary64>) () ())) ()) |
#s(alt (- (/ (* b c) d) a) (taylor -inf d) (#s(alt (-.f64 (/.f64 (*.f64 b c) d) a) (patch (-.f64 (/.f64 (*.f64 b c) d) a) #<representation:binary64>) () ())) ()) |
#s(alt (- (/ (* b c) d) a) (taylor -inf d) (#s(alt (-.f64 (/.f64 (*.f64 b c) d) a) (patch (-.f64 (/.f64 (*.f64 b c) d) a) #<representation:binary64>) () ())) ()) |
#s(alt (/ b d) (taylor -inf d) (#s(alt (/.f64 b d) (patch (/.f64 b d) #<representation:binary64>) () ())) ()) |
#s(alt (/ b d) (taylor -inf d) (#s(alt (/.f64 b d) (patch (/.f64 b d) #<representation:binary64>) () ())) ()) |
#s(alt (/ b d) (taylor -inf d) (#s(alt (/.f64 b d) (patch (/.f64 b d) #<representation:binary64>) () ())) ()) |
#s(alt (/ b d) (taylor -inf d) (#s(alt (/.f64 b d) (patch (/.f64 b d) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* b c) d) (taylor -inf d) (#s(alt (/.f64 (*.f64 b c) d) (patch (/.f64 (*.f64 b c) d) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* b c) d) (taylor -inf d) (#s(alt (/.f64 (*.f64 b c) d) (patch (/.f64 (*.f64 b c) d) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* b c) d) (taylor -inf d) (#s(alt (/.f64 (*.f64 b c) d) (patch (/.f64 (*.f64 b c) d) #<representation:binary64>) () ())) ()) |
#s(alt (/ (* b c) d) (taylor -inf d) (#s(alt (/.f64 (*.f64 b c) d) (patch (/.f64 (*.f64 b c) d) #<representation:binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | b | @ | -inf | ((/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/ (+ (* (neg a) (/ d c)) b) c) (+ (* (neg a) (/ d c)) b) (neg a) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* c b) (+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/ (- (/ (* c b) d) a) d) (* (/ c d) (/ b d)) (/ c d) (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (- (* b c) (* a d)) (* (neg a) d) (/ 1 (/ d (- (/ (* b c) d) a))) (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/ d (- (/ (* b c) d) a)) (- (/ (* b c) d) a) (/ b d) (* c c) (/ (* b c) d)) |
| 3.0ms | b | @ | inf | ((/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/ (+ (* (neg a) (/ d c)) b) c) (+ (* (neg a) (/ d c)) b) (neg a) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* c b) (+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/ (- (/ (* c b) d) a) d) (* (/ c d) (/ b d)) (/ c d) (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (- (* b c) (* a d)) (* (neg a) d) (/ 1 (/ d (- (/ (* b c) d) a))) (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/ d (- (/ (* b c) d) a)) (- (/ (* b c) d) a) (/ b d) (* c c) (/ (* b c) d)) |
| 3.0ms | c | @ | -inf | ((/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/ (+ (* (neg a) (/ d c)) b) c) (+ (* (neg a) (/ d c)) b) (neg a) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* c b) (+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/ (- (/ (* c b) d) a) d) (* (/ c d) (/ b d)) (/ c d) (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (- (* b c) (* a d)) (* (neg a) d) (/ 1 (/ d (- (/ (* b c) d) a))) (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/ d (- (/ (* b c) d) a)) (- (/ (* b c) d) a) (/ b d) (* c c) (/ (* b c) d)) |
| 3.0ms | b | @ | 0 | ((/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/ (+ (* (neg a) (/ d c)) b) c) (+ (* (neg a) (/ d c)) b) (neg a) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* c b) (+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/ (- (/ (* c b) d) a) d) (* (/ c d) (/ b d)) (/ c d) (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (- (* b c) (* a d)) (* (neg a) d) (/ 1 (/ d (- (/ (* b c) d) a))) (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/ d (- (/ (* b c) d) a)) (- (/ (* b c) d) a) (/ b d) (* c c) (/ (* b c) d)) |
| 3.0ms | c | @ | inf | ((/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/ (+ (* (neg a) (/ d c)) b) c) (+ (* (neg a) (/ d c)) b) (neg a) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* c b) (+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/ (- (/ (* c b) d) a) d) (* (/ c d) (/ b d)) (/ c d) (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (- (* b c) (* a d)) (* (neg a) d) (/ 1 (/ d (- (/ (* b c) d) a))) (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/ d (- (/ (* b c) d) a)) (- (/ (* b c) d) a) (/ b d) (* c c) (/ (* b c) d)) |
| 1× | egg-herbie |
| 8 348× | lower-fma.f64 |
| 8 348× | lower-fma.f32 |
| 6 598× | lower-*.f64 |
| 6 598× | lower-*.f32 |
| 2 922× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 660 | 10295 |
| 1 | 2320 | 9497 |
| 0 | 8272 | 8485 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (* c (+ (* -1 (* c (- (/ a (pow d 3)) (* 2 (/ a (pow d 3)))))) (/ b (pow d 2))))) |
(+ (* -1 (/ a d)) (* c (+ (* c (+ (* -1 (* c (- (* -1 (/ b (pow d 4))) (* -2 (/ b (pow d 4)))))) (* -1 (- (/ a (pow d 3)) (* 2 (/ 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)) |
(/ (+ (* -1 (* a d)) (* b c)) c) |
(/ (+ (* -1 (* a d)) (* b c)) c) |
(/ (+ (* -1 (* a d)) (* b c)) 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)) |
(- (* 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)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/ (* b c) (pow d 2)) |
(/ (* b c) (pow d 2)) |
(/ (* b c) (pow d 2)) |
(/ (* b c) (pow d 2)) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ 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)) |
(- (* b c) (* a d)) |
(- (* b c) (* a d)) |
(- (* b c) (* a d)) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(* -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 (/ d a)) |
(+ (* -1 (/ d a)) (* -1 (/ (* b c) (pow a 2)))) |
(+ (* -1 (/ d a)) (* c (- (* -1 (/ (* (pow b 2) c) (* (pow a 3) d))) (/ b (pow a 2))))) |
(+ (* -1 (/ d a)) (* c (- (* c (- (* -1 (/ (* (pow b 3) c) (* (pow a 4) (pow d 2)))) (/ (pow b 2) (* (pow a 3) d)))) (/ b (pow a 2))))) |
(* -1 a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(/ (* 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 (/ (- (* -1 (* b (pow d 2))) (* -2 (* b (pow d 2)))) (pow c 2))))) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (+ (* -1 (/ (- (* -1 (* b (pow d 2))) (* -2 (* b (pow d 2)))) (pow c 2))) (* -1 (/ (- (* a (pow d 3)) (* 2 (* a (pow d 3)))) (pow c 3)))))) 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))) |
(/ 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) (pow d 2)) |
(* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2)))) |
(* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2)))) |
(* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2)))) |
(/ (* b c) (pow d 2)) |
(/ (* b c) (pow d 2)) |
(/ (* b c) (pow d 2)) |
(/ (* b c) (pow d 2)) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ 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) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(/ (* b c) (pow d 2)) |
(* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2)))) |
(* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2)))) |
(* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2)))) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(/ (pow d 2) (* b c)) |
(/ (+ (/ (* a (pow d 3)) (* (pow b 2) c)) (/ (pow d 2) b)) c) |
(/ (- (+ (/ (* (pow a 2) (pow d 4)) (* (pow b 3) (pow c 2))) (/ (pow d 2) b)) (* -1 (/ (* a (pow d 3)) (* (pow b 2) c)))) c) |
(/ (- (+ (/ (* (pow a 3) (pow d 5)) (* (pow b 4) (pow c 3))) (/ (pow d 2) b)) (+ (* -1 (/ (* a (pow d 3)) (* (pow b 2) c))) (* -1 (/ (* (pow a 2) (pow d 4)) (* (pow b 3) (pow c 2)))))) c) |
(/ (* b c) d) |
(* c (+ (* -1 (/ a c)) (/ b d))) |
(* c (+ (* -1 (/ a c)) (/ b d))) |
(* c (+ (* -1 (/ a c)) (/ b d))) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(/ (* 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)) (/ (* b (pow d 2)) c)) (* 2 (/ (* b (pow d 2)) c))) c))) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (+ (* -1 (- (* b (pow d 2)) (* 2 (* b (pow d 2))))) (/ (* a (pow d 3)) c)) (* 2 (/ (* a (pow d 3)) c))) 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))) |
(/ 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) (pow d 2)) |
(* -1 (* c (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))) |
(* -1 (* c (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))) |
(* -1 (* c (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))) |
(/ (* b c) (pow d 2)) |
(/ (* b c) (pow d 2)) |
(/ (* b c) (pow d 2)) |
(/ (* b c) (pow d 2)) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ 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 (* c (+ (* -1 b) (/ (* a d) c)))) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(/ (* b c) (pow d 2)) |
(* -1 (* c (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))) |
(* -1 (* c (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))) |
(* -1 (* c (+ (* -1 (/ b (pow d 2))) (/ a (* c d))))) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) |
(/ (pow d 2) (* b c)) |
(* -1 (/ (+ (* -1 (/ (* a (pow d 3)) (* (pow b 2) c))) (* -1 (/ (pow d 2) b))) c)) |
(* -1 (/ (+ (* -1 (/ (- (/ (* (pow a 2) (pow d 4)) (* (pow b 3) c)) (* -1 (/ (* a (pow d 3)) (pow b 2)))) c)) (* -1 (/ (pow d 2) b))) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow a 3) (pow d 5)) (* (pow b 4) c))) (/ (* (pow a 2) (pow d 4)) (pow b 3))) c)) (* -1 (/ (* a (pow d 3)) (pow b 2)))) c)) (* -1 (/ (pow d 2) b))) c)) |
(/ (* b c) d) |
(* -1 (* c (+ (* -1 (/ b d)) (/ a c)))) |
(* -1 (* c (+ (* -1 (/ b d)) (/ a c)))) |
(* -1 (* c (+ (* -1 (/ b d)) (/ a c)))) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(/ (* 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))) |
(+ (* -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 (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -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)) |
(- (* 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)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/ (* b c) (pow d 2)) |
(/ (* b c) (pow d 2)) |
(/ (* b c) (pow d 2)) |
(/ (* b c) (pow d 2)) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a d)) |
(- (* b c) (* a d)) |
(- (* b c) (* a d)) |
(- (* b c) (* a d)) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(* -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 (/ d a)) |
(+ (* -1 (/ d a)) (* -1 (/ (* b c) (pow a 2)))) |
(+ (* -1 (/ d a)) (* b (- (* -1 (/ (* b (pow c 2)) (* (pow a 3) d))) (/ c (pow a 2))))) |
(+ (* -1 (/ d a)) (* b (- (* b (- (* -1 (/ (* b (pow c 3)) (* (pow a 4) (pow d 2)))) (/ (pow c 2) (* (pow a 3) d)))) (/ c (pow a 2))))) |
(* -1 a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b 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) |
(* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c))) |
(* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c))) |
(* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c))) |
b |
(* b (+ 1 (* -1 (/ (* a d) (* b c))))) |
(* b (+ 1 (* -1 (/ (* a d) (* b c))))) |
(* b (+ 1 (* -1 (/ (* a d) (* b c))))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b c) |
(* b (+ c (* -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) (pow d 2)) |
(* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2)))) |
(* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2)))) |
(* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2)))) |
(/ (* b c) (pow d 2)) |
(/ (* b c) (pow d 2)) |
(/ (* b c) (pow d 2)) |
(/ (* b c) (pow d 2)) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b c) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(/ (* b c) (pow d 2)) |
(* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2)))) |
(* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2)))) |
(* b (+ (* -1 (/ a (* b d))) (/ c (pow d 2)))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(/ (pow d 2) (* b c)) |
(/ (+ (/ (* a (pow d 3)) (* b (pow c 2))) (/ (pow d 2) c)) b) |
(/ (- (+ (/ (* (pow a 2) (pow d 4)) (* (pow b 2) (pow c 3))) (/ (pow d 2) c)) (* -1 (/ (* a (pow d 3)) (* b (pow c 2))))) b) |
(/ (- (+ (/ (* (pow a 3) (pow d 5)) (* (pow b 3) (pow c 4))) (/ (pow d 2) c)) (+ (* -1 (/ (* a (pow d 3)) (* b (pow c 2)))) (* -1 (/ (* (pow a 2) (pow d 4)) (* (pow b 2) (pow c 3)))))) b) |
(/ (* 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) 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) |
(* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c)))) |
(* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c)))) |
(* -1 (* b (- (/ (* a d) (* b (pow c 2))) (/ 1 c)))) |
b |
(* -1 (* b (- (/ (* a d) (* b c)) 1))) |
(* -1 (* b (- (/ (* a d) (* b c)) 1))) |
(* -1 (* b (- (/ (* a d) (* b c)) 1))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* b c) |
(* -1 (* b (+ (* -1 c) (/ (* 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) (pow d 2)) |
(* -1 (* b (+ (* -1 (/ c (pow d 2))) (/ a (* b d))))) |
(* -1 (* b (+ (* -1 (/ c (pow d 2))) (/ a (* b d))))) |
(* -1 (* b (+ (* -1 (/ c (pow d 2))) (/ a (* b d))))) |
(/ (* b c) (pow d 2)) |
(/ (* b c) (pow d 2)) |
(/ (* b c) (pow d 2)) |
(/ (* b c) (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 d 2)) |
(* -1 (* b (+ (* -1 (/ c (pow d 2))) (/ a (* b d))))) |
(* -1 (* b (+ (* -1 (/ c (pow d 2))) (/ a (* b d))))) |
(* -1 (* b (+ (* -1 (/ c (pow d 2))) (/ a (* b d))))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(/ (pow d 2) (* b c)) |
(* -1 (/ (+ (* -1 (/ (* a (pow d 3)) (* b (pow c 2)))) (* -1 (/ (pow d 2) c))) b)) |
(* -1 (/ (+ (* -1 (/ (- (/ (* (pow a 2) (pow d 4)) (* b (pow c 3))) (* -1 (/ (* a (pow d 3)) (pow c 2)))) b)) (* -1 (/ (pow d 2) c))) b)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow a 3) (pow d 5)) (* b (pow c 4)))) (/ (* (pow a 2) (pow d 4)) (pow c 3))) b)) (* -1 (/ (* a (pow d 3)) (pow c 2)))) b)) (* -1 (/ (pow d 2) c))) b)) |
(/ (* 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) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* 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) |
(+ (* -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) |
(* -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) (pow d 2)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* 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)) |
(/ (* b c) (pow d 2)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(/ (pow d 2) (* b c)) |
(+ (/ (* a (pow d 3)) (* (pow b 2) (pow c 2))) (/ (pow d 2) (* b c))) |
(+ (* a (- (/ (* a (pow d 4)) (* (pow b 3) (pow c 3))) (* -1 (/ (pow d 3) (* (pow b 2) (pow c 2)))))) (/ (pow d 2) (* b c))) |
(+ (* a (- (* a (- (/ (* a (pow d 5)) (* (pow b 4) (pow c 4))) (* -1 (/ (pow d 4) (* (pow b 3) (pow c 3)))))) (* -1 (/ (pow d 3) (* (pow b 2) (pow c 2)))))) (/ (pow d 2) (* b c))) |
(/ (* b c) d) |
(+ (* -1 a) (/ (* b c) d)) |
(+ (* -1 a) (/ (* b c) d)) |
(+ (* -1 a) (/ (* b c) 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 (+ (* -1 (/ d c)) (/ b a))) |
(* a (+ (* -1 (/ d c)) (/ b a))) |
(* a (+ (* -1 (/ d c)) (/ b a))) |
(* -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)) |
(* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d))) |
(* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d))) |
(* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a d)) |
(* 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 d)) |
(* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d))) |
(* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d))) |
(* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ d a)) |
(/ (+ (* -1 d) (* -1 (/ (* b c) a))) a) |
(/ (- (+ (* -1 d) (* -1 (/ (* (pow b 2) (pow c 2)) (* (pow a 2) d)))) (/ (* b c) a)) a) |
(/ (- (+ (* -1 d) (* -1 (/ (* (pow b 3) (pow c 3)) (* (pow a 3) (pow d 2))))) (+ (/ (* b c) a) (/ (* (pow b 2) (pow c 2)) (* (pow a 2) d)))) a) |
(* -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)))) |
(* -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)) (/ d c)))) |
(* -1 (* a (+ (* -1 (/ b a)) (/ d c)))) |
(* -1 (* a (+ (* -1 (/ b a)) (/ d c)))) |
(* -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)) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (/ 1 d)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (/ 1 d)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (/ 1 d)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -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 d)) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (/ 1 d)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (/ 1 d)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (/ 1 d)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ d a)) |
(* -1 (/ (+ d (/ (* b c) a)) a)) |
(* -1 (/ (+ d (* -1 (/ (- (* -1 (/ (* (pow b 2) (pow c 2)) (* a d))) (* b c)) a))) a)) |
(* -1 (/ (+ d (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (pow c 3)) (* a (pow d 2))) (* -1 (/ (* (pow b 2) (pow c 2)) d))) a)) (* b c)) a))) a)) |
(* -1 a) |
(* -1 (* a (+ 1 (* -1 (/ (* b c) (* a d)))))) |
(* -1 (* a (+ 1 (* -1 (/ (* b c) (* a d)))))) |
(* -1 (* a (+ 1 (* -1 (/ (* b c) (* a d)))))) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* d (+ (* -1 (* d (- (* -1 (/ b (pow c 3))) (* -2 (/ b (pow c 3)))))) (* -1 (/ a (pow c 2))))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (+ (* -1 (* d (- (/ a (pow c 4)) (* 2 (/ a (pow c 4)))))) (* -1 (- (* -1 (/ b (pow c 3))) (* -2 (/ 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))) |
(/ 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) (pow d 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow d 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow d 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow d 2)) |
(/ (* b c) (pow d 2)) |
(/ (* b c) (pow d 2)) |
(/ (* b c) (pow d 2)) |
(/ (* b c) (pow d 2)) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ 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)) |
(* 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)) |
(/ (* b c) (pow d 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow d 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow d 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow d 2)) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(/ (pow d 2) (* b c)) |
(* (pow d 2) (+ (/ 1 (* b c)) (/ (* a d) (* (pow b 2) (pow c 2))))) |
(* (pow d 2) (+ (* d (- (/ (* (pow a 2) d) (* (pow b 3) (pow c 3))) (* -1 (/ a (* (pow b 2) (pow c 2)))))) (/ 1 (* b c)))) |
(* (pow d 2) (+ (* d (- (* d (- (/ (* (pow a 3) d) (* (pow b 4) (pow c 4))) (* -1 (/ (pow a 2) (* (pow b 3) (pow c 3)))))) (* -1 (/ a (* (pow b 2) (pow c 2)))))) (/ 1 (* b c)))) |
(/ (* 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) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (* -1 (/ (- (* a (pow c 2)) (* 2 (* a (pow c 2)))) (pow d 2))) (/ (* b c) d))) d) |
(/ (+ (* -1 a) (+ (* -1 (/ (- (* -1 (* b (pow c 3))) (* -2 (* b (pow c 3)))) (pow d 3))) (+ (* -1 (/ (- (* a (pow c 2)) (* 2 (* a (pow c 2)))) (pow d 2))) (/ (* b c) d)))) 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 (+ (* -1 (/ a c)) (/ b d))) |
(* d (+ (* -1 (/ a c)) (/ b d))) |
(* d (+ (* -1 (/ a c)) (/ 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) |
(* -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)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (* b c) (pow d 2)) |
(/ (* b c) (pow d 2)) |
(/ (* b c) (pow d 2)) |
(/ (* b c) (pow d 2)) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ 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)) |
(* 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)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(* -1 (/ d a)) |
(* d (- (* -1 (/ (* b c) (* (pow a 2) d))) (/ 1 a))) |
(* d (- (* -1 (/ (* (pow b 2) (pow c 2)) (* (pow a 3) (pow d 2)))) (+ (/ 1 a) (/ (* b c) (* (pow a 2) d))))) |
(* d (- (* -1 (/ (* (pow b 3) (pow c 3)) (* (pow a 4) (pow d 3)))) (+ (/ 1 a) (+ (/ (* b c) (* (pow a 2) d)) (/ (* (pow b 2) (pow c 2)) (* (pow a 3) (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) |
(/ (* 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 (/ (- (+ (* -1 (/ (* a (pow c 2)) d)) (* b c)) (* -2 (/ (* a (pow c 2)) d))) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (- (* -1 (* a (pow c 2))) (* -2 (* a (pow c 2))))) (* -1 (/ (* b (pow c 3)) d))) (* -2 (/ (* b (pow c 3)) d))) 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)) (/ a c)))) |
(* -1 (* d (+ (* -1 (/ b d)) (/ a c)))) |
(* -1 (* d (+ (* -1 (/ b d)) (/ a 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 (* 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)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/ (* b c) (pow d 2)) |
(/ (* b c) (pow d 2)) |
(/ (* b c) (pow d 2)) |
(/ (* b c) (pow d 2)) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ 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 (* 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)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(* -1 (/ d a)) |
(* -1 (* d (+ (/ 1 a) (/ (* b c) (* (pow a 2) d))))) |
(* -1 (* d (+ (* -1 (/ (- (* -1 (/ (* (pow b 2) (pow c 2)) (* (pow a 3) d))) (/ (* b c) (pow a 2))) d)) (/ 1 a)))) |
(* -1 (* d (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (pow c 3)) (* (pow a 4) d)) (* -1 (/ (* (pow b 2) (pow c 2)) (pow a 3)))) d)) (/ (* b c) (pow a 2))) d)) (/ 1 a)))) |
(* -1 a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
(/ (* b c) d) |
| Outputs |
|---|
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) |
(+ (* -1 (/ a d)) (* c (+ (* -1 (* c (- (/ a (pow d 3)) (* 2 (/ a (pow d 3)))))) (/ b (pow d 2))))) |
(fma.f64 (*.f64 c a) (/.f64 c (pow.f64 d #s(literal 3 binary64))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) |
(+ (* -1 (/ a d)) (* c (+ (* c (+ (* -1 (* c (- (* -1 (/ b (pow d 4))) (* -2 (/ b (pow d 4)))))) (* -1 (- (/ a (pow d 3)) (* 2 (/ a (pow d 3))))))) (/ b (pow d 2))))) |
(fma.f64 (fma.f64 (neg.f64 c) (/.f64 b (pow.f64 d #s(literal 4 binary64))) (/.f64 a (pow.f64 d #s(literal 3 binary64)))) (*.f64 c c) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) |
(* -1 (/ (* a d) (pow c 2))) |
(*.f64 (/.f64 (/.f64 (neg.f64 a) c) c) d) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 c b)) (*.f64 c c)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 c b)) (*.f64 c c)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 c b)) (*.f64 c c)) |
(* -1 (/ (* a d) c)) |
(*.f64 (neg.f64 d) (/.f64 a c)) |
(/ (+ (* -1 (* a d)) (* b c)) c) |
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 c b)) c) |
(/ (+ (* -1 (* a d)) (* b c)) c) |
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 c b)) c) |
(/ (+ (* -1 (* a d)) (* b c)) c) |
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 c b)) c) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(fma.f64 (*.f64 c a) (/.f64 c (pow.f64 d #s(literal 3 binary64))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(fma.f64 (fma.f64 (neg.f64 c) (/.f64 b (pow.f64 d #s(literal 4 binary64))) (/.f64 a (pow.f64 d #s(literal 3 binary64)))) (*.f64 c c) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) |
(* -1 (* a d)) |
(*.f64 (neg.f64 d) a) |
(- (* b c) (* a d)) |
(fma.f64 (neg.f64 d) a (*.f64 c b)) |
(- (* b c) (* a d)) |
(fma.f64 (neg.f64 d) a (*.f64 c b)) |
(- (* b c) (* a d)) |
(fma.f64 (neg.f64 d) a (*.f64 c b)) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(* b c) |
(*.f64 c b) |
(pow d 2) |
(*.f64 d d) |
(+ (pow c 2) (pow d 2)) |
(hypot.f64 c d) |
(+ (pow c 2) (pow d 2)) |
(hypot.f64 c d) |
(+ (pow c 2) (pow d 2)) |
(hypot.f64 c d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(fma.f64 (*.f64 c a) (/.f64 c (pow.f64 d #s(literal 3 binary64))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(fma.f64 (fma.f64 (neg.f64 c) (/.f64 b (pow.f64 d #s(literal 4 binary64))) (/.f64 a (pow.f64 d #s(literal 3 binary64)))) (*.f64 c c) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) |
(/ (* b c) (pow d 2)) |
(*.f64 (/.f64 (/.f64 c d) d) b) |
(/ (* b c) (pow d 2)) |
(*.f64 (/.f64 (/.f64 c d) d) b) |
(/ (* b c) (pow d 2)) |
(*.f64 (/.f64 (/.f64 c d) d) b) |
(/ (* b c) (pow d 2)) |
(*.f64 (/.f64 (/.f64 c d) d) b) |
(/ c d) |
(/.f64 c d) |
(/ c d) |
(/.f64 c d) |
(/ c d) |
(/.f64 c d) |
(/ c d) |
(/.f64 c d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(fma.f64 (*.f64 c a) (/.f64 c (pow.f64 d #s(literal 3 binary64))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(fma.f64 (fma.f64 (neg.f64 c) (/.f64 b (pow.f64 d #s(literal 4 binary64))) (/.f64 a (pow.f64 d #s(literal 3 binary64)))) (*.f64 c c) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) |
(* -1 (* a d)) |
(*.f64 (neg.f64 d) a) |
(- (* b c) (* a d)) |
(fma.f64 (neg.f64 d) a (*.f64 c b)) |
(- (* b c) (* a d)) |
(fma.f64 (neg.f64 d) a (*.f64 c b)) |
(- (* b c) (* a d)) |
(fma.f64 (neg.f64 d) a (*.f64 c b)) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) |
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(/.f64 (-.f64 a (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 c (/.f64 c d)) (fma.f64 (neg.f64 a) (*.f64 c (/.f64 c d)) (*.f64 c b))) d)) (neg.f64 d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (- (* -1 (* a (pow c 2))) (* -2 (* a (pow c 2))))) (* -1 (/ (* b (pow c 3)) d))) (* -2 (/ (* b (pow c 3)) d))) d)) (* b c)) d))) d)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 c b (/.f64 (fma.f64 (*.f64 (neg.f64 a) c) c (*.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) b) d) #s(literal 1 binary64))) (neg.f64 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 a c) c) (/.f64 (/.f64 b d) c)) (neg.f64 d)) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(*.f64 (-.f64 (/.f64 (/.f64 a c) c) (/.f64 (/.f64 b d) c)) (neg.f64 d)) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(*.f64 (-.f64 (/.f64 (/.f64 a c) c) (/.f64 (/.f64 b d) c)) (neg.f64 d)) |
(* -1 (/ (* a d) c)) |
(*.f64 (neg.f64 d) (/.f64 a c)) |
(* -1 (* d (+ (* -1 (/ b d)) (/ a c)))) |
(*.f64 (neg.f64 d) (-.f64 (/.f64 a c) (/.f64 b d))) |
(* -1 (* d (+ (* -1 (/ b d)) (/ a c)))) |
(*.f64 (neg.f64 d) (-.f64 (/.f64 a c) (/.f64 b d))) |
(* -1 (* d (+ (* -1 (/ b d)) (/ a c)))) |
(*.f64 (neg.f64 d) (-.f64 (/.f64 a c) (/.f64 b d))) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (neg.f64 c) d) b a)) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 c b (/.f64 (*.f64 (*.f64 c a) c) d)) d)) (neg.f64 d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 c b (/.f64 (fma.f64 (neg.f64 b) (/.f64 (pow.f64 c #s(literal 3 binary64)) d) (*.f64 (*.f64 c a) c)) d)) d)) (neg.f64 d)) |
(* -1 (* a d)) |
(*.f64 (neg.f64 d) a) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(*.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(*.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(*.f64 (fma.f64 (/.f64 c d) b (neg.f64 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 (neg.f64 (fma.f64 (/.f64 (neg.f64 c) d) b a)) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 c b (/.f64 (*.f64 (*.f64 c a) c) d)) d)) (neg.f64 d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 c b (/.f64 (fma.f64 (neg.f64 b) (/.f64 (pow.f64 c #s(literal 3 binary64)) d) (*.f64 (*.f64 c a) c)) d)) d)) (neg.f64 d)) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (neg.f64 c) d) b a)) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (neg.f64 c) d) b a)) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (neg.f64 c) d) b a)) d) |
(/ (* b c) (pow d 2)) |
(*.f64 (/.f64 (/.f64 c d) d) b) |
(/ (* b c) (pow d 2)) |
(*.f64 (/.f64 (/.f64 c d) d) b) |
(/ (* b c) (pow d 2)) |
(*.f64 (/.f64 (/.f64 c d) d) b) |
(/ (* b c) (pow d 2)) |
(*.f64 (/.f64 (/.f64 c d) d) b) |
(/ c d) |
(/.f64 c d) |
(/ c d) |
(/.f64 c d) |
(/ c d) |
(/.f64 c d) |
(/ c d) |
(/.f64 c d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (neg.f64 c) d) b a)) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 c b (/.f64 (*.f64 (*.f64 c a) c) d)) d)) (neg.f64 d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 c b (/.f64 (fma.f64 (neg.f64 b) (/.f64 (pow.f64 c #s(literal 3 binary64)) d) (*.f64 (*.f64 c a) c)) d)) d)) (neg.f64 d)) |
(* -1 (* a d)) |
(*.f64 (neg.f64 d) a) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(*.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(*.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(*.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) |
(* -1 (* a d)) |
(*.f64 (neg.f64 d) a) |
(* -1 (* a d)) |
(*.f64 (neg.f64 d) a) |
(* -1 (* a d)) |
(*.f64 (neg.f64 d) a) |
(* -1 (* a d)) |
(*.f64 (neg.f64 d) a) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (neg.f64 c) d) b a)) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (neg.f64 c) d) b a)) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (neg.f64 c) d) b a)) d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (neg.f64 c) d) b a)) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 c b (/.f64 (*.f64 (*.f64 c a) c) d)) d)) (neg.f64 d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 c b (/.f64 (fma.f64 (neg.f64 b) (/.f64 (pow.f64 c #s(literal 3 binary64)) d) (*.f64 (*.f64 c a) c)) d)) d)) (neg.f64 d)) |
(* -1 (/ d a)) |
(/.f64 (neg.f64 d) a) |
(* -1 (* d (+ (/ 1 a) (/ (* b c) (* (pow a 2) d))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 c (*.f64 a a)) d) b (/.f64 #s(literal 1 binary64) a)) (neg.f64 d)) |
(* -1 (* d (+ (* -1 (/ (- (* -1 (/ (* (pow b 2) (pow c 2)) (* (pow a 3) d))) (/ (* b c) (pow a 2))) d)) (/ 1 a)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 b b) d) (*.f64 c (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 (/.f64 c a) (/.f64 b a)))) d)) (neg.f64 d)) |
(* -1 (* d (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow b 3) (pow c 3)) (* (pow a 4) d)) (* -1 (/ (* (pow b 2) (pow c 2)) (pow a 3)))) d)) (/ (* b c) (pow a 2))) d)) (/ 1 a)))) |
(neg.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 b) (/.f64 c (*.f64 a a)) (/.f64 (fma.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) d) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 c c) b) b) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 d))) (neg.f64 d)) d (/.f64 d a))) |
(* -1 a) |
(neg.f64 a) |
(- (/ (* b c) d) a) |
(fma.f64 (/.f64 c d) b (neg.f64 a)) |
(- (/ (* b c) d) a) |
(fma.f64 (/.f64 c d) b (neg.f64 a)) |
(- (/ (* b c) d) a) |
(fma.f64 (/.f64 c d) b (neg.f64 a)) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(/ (* b c) d) |
(*.f64 (/.f64 c d) b) |
(/ (* b c) d) |
(*.f64 (/.f64 c d) b) |
(/ (* b c) d) |
(*.f64 (/.f64 c d) b) |
(/ (* b c) d) |
(*.f64 (/.f64 c d) b) |
| 4 898× | lower-/.f32 |
| 4 880× | lower-/.f64 |
| 4 778× | lower-*.f32 |
| 4 766× | lower-*.f64 |
| 4 538× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 276 |
| 0 | 71 | 266 |
| 1 | 312 | 253 |
| 2 | 2352 | 242 |
| 0 | 8970 | 224 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c)) |
(/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c) |
(fma.f64 (neg.f64 a) (/.f64 d c) b) |
(neg.f64 a) |
(/.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)) (*.f64 c b)) |
(*.f64 c b) |
#s(approx (+ (* c c) (* d d)) (*.f64 d d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d)))) |
#s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d))) |
(*.f64 (/.f64 c d) (/.f64 b d)) |
(/.f64 c d) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) (fma.f64 d d (*.f64 c c))) |
#s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) |
(*.f64 (neg.f64 a) d) |
(/.f64 #s(literal 1 binary64) (/.f64 d (-.f64 (/.f64 (*.f64 b c) d) a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (/.f64 d (-.f64 (/.f64 (*.f64 b c) d) a)))) |
(/.f64 d (-.f64 (/.f64 (*.f64 b c) d) a)) |
(-.f64 (/.f64 (*.f64 b c) d) a) |
(/.f64 b d) |
(*.f64 c c) |
(/.f64 (*.f64 b c) d) |
| Outputs |
|---|
#s(approx (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/.f64 (fma.f64 (/.f64 d c) (neg.f64 a) b) c)) |
(*.f64 (pow.f64 (/.f64 c (-.f64 (pow.f64 (*.f64 (/.f64 d c) a) #s(literal 2 binary64)) (*.f64 b b))) #s(literal -1 binary64)) (pow.f64 (-.f64 (/.f64 (*.f64 (neg.f64 a) d) c) b) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 c (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 d c) a) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (hypot.f64 (*.f64 (/.f64 d c) a) b) (*.f64 (/.f64 (*.f64 (neg.f64 a) d) c) b)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 c #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (/.f64 d c) (neg.f64 a) b) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 c #s(literal -1 binary64)) (fma.f64 (/.f64 d c) (neg.f64 a) b)) |
(*.f64 (neg.f64 (fma.f64 (/.f64 d c) (neg.f64 a) b)) (pow.f64 (neg.f64 c) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 d c) (neg.f64 a) b) c)) |
(*.f64 (fma.f64 (/.f64 d c) (neg.f64 a) b) (pow.f64 c #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 c (fma.f64 (/.f64 d c) (neg.f64 a) b)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 c (fma.f64 (/.f64 d c) (neg.f64 a) b)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 d c) a) #s(literal 2 binary64)) (*.f64 b b)) (pow.f64 c #s(literal -1 binary64)))) (neg.f64 (-.f64 (/.f64 (*.f64 (neg.f64 a) d) c) b))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 d c) a) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (pow.f64 c #s(literal -1 binary64)))) (neg.f64 (-.f64 (hypot.f64 (*.f64 (/.f64 d c) a) b) (*.f64 (/.f64 (*.f64 (neg.f64 a) d) c) b)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 d c) (neg.f64 a) b) #s(literal 1 binary64))) (neg.f64 c)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 d c) (neg.f64 a) b)))) (neg.f64 (neg.f64 (neg.f64 c)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 d c) a) #s(literal 2 binary64)) (*.f64 b b)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (/.f64 (*.f64 (neg.f64 a) d) c) b) c))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 d c) a) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (hypot.f64 (*.f64 (/.f64 d c) a) b) (*.f64 (/.f64 (*.f64 (neg.f64 a) d) c) b)) c))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 d c) a) #s(literal 2 binary64)) (*.f64 b b)) (pow.f64 c #s(literal -1 binary64))) (-.f64 (/.f64 (*.f64 (neg.f64 a) d) c) b)) |
(/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 d c) a) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (pow.f64 c #s(literal -1 binary64))) (-.f64 (hypot.f64 (*.f64 (/.f64 d c) a) b) (*.f64 (/.f64 (*.f64 (neg.f64 a) d) c) b))) |
(/.f64 (*.f64 (fma.f64 (/.f64 d c) (neg.f64 a) b) #s(literal 1 binary64)) c) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 d c) a) #s(literal 2 binary64)) (*.f64 b b))) (neg.f64 (*.f64 c (-.f64 (/.f64 (*.f64 (neg.f64 a) d) c) b)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 d c) a) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (*.f64 c (-.f64 (hypot.f64 (*.f64 (/.f64 d c) a) b) (*.f64 (/.f64 (*.f64 (neg.f64 a) d) c) b))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 d c) (neg.f64 a) b))) (neg.f64 (neg.f64 c))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 d c) a) #s(literal 2 binary64)) (*.f64 b b)) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 (*.f64 (neg.f64 a) d) c) b) c)) |
(/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 d c) a) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (hypot.f64 (*.f64 (/.f64 d c) a) b) (*.f64 (/.f64 (*.f64 (neg.f64 a) d) c) b)) c)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 d c) a) #s(literal 2 binary64)) (*.f64 b b)) (*.f64 c (-.f64 (/.f64 (*.f64 (neg.f64 a) d) c) b))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 d c) a) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 c (-.f64 (hypot.f64 (*.f64 (/.f64 d c) a) b) (*.f64 (/.f64 (*.f64 (neg.f64 a) d) c) b)))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 d c) (neg.f64 a) b)) (neg.f64 c)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 c (fma.f64 (/.f64 d c) (neg.f64 a) b)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 c (fma.f64 (/.f64 d c) (neg.f64 a) b)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 c (fma.f64 (/.f64 d c) (neg.f64 a) b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c (fma.f64 (/.f64 d c) (neg.f64 a) b)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 c (fma.f64 (/.f64 d c) (neg.f64 a) b))) |
(/.f64 (fma.f64 (/.f64 d c) (neg.f64 a) b) c) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 d c) (neg.f64 a) b)) c)) |
(neg.f64 (/.f64 (fma.f64 (/.f64 d c) (neg.f64 a) b) (neg.f64 c))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 d c) a) #s(literal 2 binary64)) (*.f64 c (-.f64 (/.f64 (*.f64 (neg.f64 a) d) c) b))) (/.f64 (*.f64 b b) (*.f64 c (-.f64 (/.f64 (*.f64 (neg.f64 a) d) c) b)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (/.f64 d c) a) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 (neg.f64 a) d) c) b)) c) (/.f64 (/.f64 (*.f64 b b) (-.f64 (/.f64 (*.f64 (neg.f64 a) d) c) b)) c)) |
(-.f64 (/.f64 b c) (/.f64 (*.f64 (/.f64 d c) a) c)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 c)) (/.f64 (fma.f64 (/.f64 d c) (neg.f64 a) b) (neg.f64 c))) |
(exp.f64 (*.f64 (log.f64 (/.f64 c (fma.f64 (/.f64 d c) (neg.f64 a) b))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 d c) a) #s(literal 2 binary64)) (*.f64 b b)) (pow.f64 (-.f64 (/.f64 (*.f64 (neg.f64 a) d) c) b) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 d c) a) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (pow.f64 (-.f64 (hypot.f64 (*.f64 (/.f64 d c) a) b) (*.f64 (/.f64 (*.f64 (neg.f64 a) d) c) b)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 (/.f64 (*.f64 (neg.f64 a) d) c) b) (-.f64 (pow.f64 (*.f64 (/.f64 d c) a) #s(literal 2 binary64)) (*.f64 b b))) #s(literal -1 binary64)) |
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(*.f64 (/.f64 b d) c) |
(*.f64 (/.f64 c d) b) |
(*.f64 b (/.f64 c d)) |
(*.f64 c (/.f64 b d)) |
(pow.f64 (/.f64 (/.f64 (/.f64 d b) c) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 d b) c) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (*.f64 (neg.f64 b) c) #s(literal -1 binary64))) (neg.f64 d)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 b) c))) (neg.f64 (neg.f64 (neg.f64 d)))) |
(/.f64 (neg.f64 (*.f64 b #s(literal 1 binary64))) (neg.f64 (/.f64 d c))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) b)) (neg.f64 (/.f64 d c))) |
(/.f64 (neg.f64 (*.f64 c #s(literal 1 binary64))) (neg.f64 (/.f64 d b))) |
(/.f64 (neg.f64 (*.f64 (*.f64 b c) #s(literal 1 binary64))) (neg.f64 d)) |
(/.f64 (/.f64 (*.f64 (neg.f64 b) c) #s(literal -1 binary64)) d) |
(/.f64 (neg.f64 (*.f64 (neg.f64 b) c)) (neg.f64 (neg.f64 d))) |
(/.f64 (*.f64 b #s(literal 1 binary64)) (/.f64 d c)) |
(/.f64 (*.f64 #s(literal 1 binary64) b) (/.f64 d c)) |
(/.f64 (*.f64 c #s(literal 1 binary64)) (/.f64 d b)) |
(/.f64 (*.f64 (*.f64 b c) #s(literal 1 binary64)) d) |
(/.f64 (neg.f64 c) (neg.f64 (/.f64 d b))) |
(/.f64 (*.f64 (neg.f64 b) c) (neg.f64 d)) |
(/.f64 (neg.f64 b) (neg.f64 (/.f64 d c))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (/.f64 d b) c) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 d b) c))) |
(/.f64 (*.f64 b c) d) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (/.f64 d b) c)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 d b) c) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 d b) c)) |
(/.f64 b (/.f64 d c)) |
(/.f64 c (/.f64 d b)) |
(neg.f64 (/.f64 (*.f64 (neg.f64 b) c) d)) |
(neg.f64 (/.f64 (*.f64 b c) (neg.f64 d))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 d)) (/.f64 (*.f64 b c) (neg.f64 d))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 d b) c)) #s(literal -1 binary64))) |
Compiled 25 434 to 3 614 computations (85.8% saved)
23 alts after pruning (15 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 532 | 7 | 1 539 |
| Fresh | 3 | 8 | 11 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 536 | 23 | 1 559 |
| Status | Accuracy | Program |
|---|---|---|
| 36.3% | (/.f64 (fma.f64 c b (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| ✓ | 36.9% | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
| 27.4% | (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| ✓ | 40.0% | (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) (fma.f64 d d (*.f64 c c))) |
| ✓ | 38.6% | (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) |
| ✓ | 22.1% | (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
| 25.8% | (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| 54.3% | #s(approx (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) | |
| ✓ | 56.8% | #s(approx (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c)) |
| 24.6% | #s(approx (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/.f64 #s(approx (+ (* (neg a) (/ d c)) b) (*.f64 (neg.f64 d) (/.f64 a c))) c)) | |
| 39.8% | #s(approx (/ (- (* b c) (* a d)) (+ (* (* c c) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 a c) (*.f64 b (/.f64 #s(literal 0 binary64) (pow.f64 c #s(literal 3 binary64))))) (*.f64 c c)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 c c))) b) (pow.f64 c #s(literal 3 binary64)))) c) (/.f64 #s(literal 0 binary64) c) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 c c))) c) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 a c) (*.f64 b (/.f64 #s(literal 0 binary64) (pow.f64 c #s(literal 3 binary64))))) c) (*.f64 (neg.f64 b) (/.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 c c)))) (pow.f64 c #s(literal 5 binary64)))))) d (fma.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 a c) (*.f64 b (/.f64 #s(literal 0 binary64) (pow.f64 c #s(literal 3 binary64))))) (*.f64 c c)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 c c))) b) (pow.f64 c #s(literal 3 binary64)))))) d (fma.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 a c) (*.f64 b (/.f64 #s(literal 0 binary64) (pow.f64 c #s(literal 3 binary64)))))) d (/.f64 b c))) | |
| 38.4% | #s(approx (/ (- (* b c) (* a d)) (+ (* (* c c) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 c c)))) (pow.f64 c #s(literal 5 binary64))) (fma.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 a (*.f64 c c)) #s(literal -1 binary64) (*.f64 b (/.f64 #s(literal 0 binary64) (pow.f64 c #s(literal 3 binary64))))) c) (/.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 c c))) b) (pow.f64 c #s(literal 3 binary64)))) (*.f64 c c)) (*.f64 (/.f64 (fma.f64 (/.f64 a (*.f64 c c)) #s(literal -1 binary64) (*.f64 b (/.f64 #s(literal 0 binary64) (pow.f64 c #s(literal 3 binary64))))) c) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 c c))) c)))) d (fma.f64 (/.f64 (fma.f64 (/.f64 a (*.f64 c c)) #s(literal -1 binary64) (*.f64 b (/.f64 #s(literal 0 binary64) (pow.f64 c #s(literal 3 binary64))))) c) (/.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 c c))) b) (pow.f64 c #s(literal 3 binary64)))))) d (fma.f64 (/.f64 a (*.f64 c c)) #s(literal -1 binary64) (*.f64 b (/.f64 #s(literal 0 binary64) (pow.f64 c #s(literal 3 binary64)))))) d (/.f64 b c))) | |
| ✓ | 41.9% | #s(approx (/ (- (* b c) (* a d)) (+ (* (* c c) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) (/.f64 (neg.f64 a) d)) |
| 41.7% | #s(approx (/ (- (* b c) (* a d)) (+ (* (* c c) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) a))) | |
| 24.1% | #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 #s(approx (- (/ (* c b) d) a) (/.f64 (*.f64 b c) d)) d)) | |
| 23.1% | #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 (/.f64 c d) d) b))) | |
| ✓ | 23.9% | #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d)))) |
| 22.3% | #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 c (/.f64 (/.f64 b d) d)))) | |
| 22.2% | #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 b (/.f64 c (*.f64 d d))))) | |
| 24.6% | #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (+ (* a (/ d c)) (neg b)) (neg c)) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) | |
| 42.3% | #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (+ (* a (/ d c)) (neg b)) (neg c)) (*.f64 (-.f64 (/.f64 b (*.f64 c a)) (/.f64 d (*.f64 c c))) a))) | |
| ✓ | 42.4% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
| 41.9% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) |
Compiled 1 432 to 506 computations (64.7% saved)
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* (* c c) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 b (/.f64 c (*.f64 d d))))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* (* c c) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 c (/.f64 (/.f64 b d) d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 (/.f64 c d) d) b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 #s(approx (- (/ (* c b) d) a) (/.f64 (*.f64 b c) d)) d)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (+ (* a (/ d c)) (neg b)) (neg c)) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 #s(approx (+ (* a (/ d c)) (neg b)) (/.f64 (*.f64 d a) c)) (neg.f64 c))) |
#s(approx (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/.f64 #s(approx (+ (* (neg a) (/ d c)) b) (*.f64 (neg.f64 d) (/.f64 a c))) c)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) (fma.f64 d d (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 (fma.f64 c b (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) |
#s(approx (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c)) |
#s(approx (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 (fma.f64 a (/.f64 d c) (neg.f64 b)) (neg.f64 c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (neg.f64 b) (/.f64 c d) a) (neg.f64 d))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 d d (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 (fma.f64 c b (*.f64 (neg.f64 d) a)) (+.f64 (*.f64 c c) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (+ (* a (/ d c)) (neg b)) (neg c)) (*.f64 (-.f64 (/.f64 b (*.f64 c a)) (/.f64 d (*.f64 c c))) a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (/.f64 d (-.f64 (/.f64 (*.f64 b c) d) a)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (fma.f64 (/.f64 b d) (/.f64 c d) (/.f64 (neg.f64 a) d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (fma.f64 (/.f64 (neg.f64 a) c) (/.f64 d c) (/.f64 b c))) |
(/.f64 (-.f64 (*.f64 (*.f64 c b) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) (*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (*.f64 (neg.f64 d) a))) (*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (hypot.f64 c d)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (hypot.f64 c d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (fma.f64 (neg.f64 (fma.f64 b (/.f64 d (pow.f64 c #s(literal 3 binary64))) (/.f64 a (*.f64 c c)))) d (/.f64 b c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) d)) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 (*.f64 c c) (/.f64 (*.f64 c c) (*.f64 (-.f64 c d) (+.f64 d c))) (neg.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (-.f64 c d) (+.f64 d c)))))) |
(fma.f64 (/.f64 c (hypot.f64 d c)) b (*.f64 (neg.f64 d) (/.f64 a (hypot.f64 d c)))) |
(*.f64 (*.f64 (/.f64 (fma.f64 (neg.f64 d) a (*.f64 c b)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (+.f64 d c)) (-.f64 c d)) |
(/.f64 (*.f64 (*.f64 (-.f64 c d) (+.f64 d c)) (fma.f64 (neg.f64 d) a (*.f64 c b))) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 a (pow.f64 c #s(literal 4 binary64))) d) (/.f64 b (pow.f64 c #s(literal 3 binary64)))) d (/.f64 (/.f64 (neg.f64 a) c) c)) d (/.f64 b c))) |
(/.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 c b) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 d a (*.f64 c b)) (*.f64 d a)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (*.f64 (fma.f64 d a (*.f64 c b)) (*.f64 d a)))) (+.f64 (*.f64 c c) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* (* c c) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 c c)))) (pow.f64 c #s(literal 5 binary64))) (fma.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 a (*.f64 c c)) #s(literal -1 binary64) (*.f64 b (/.f64 #s(literal 0 binary64) (pow.f64 c #s(literal 3 binary64))))) c) (/.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 c c))) b) (pow.f64 c #s(literal 3 binary64)))) (*.f64 c c)) (*.f64 (/.f64 (fma.f64 (/.f64 a (*.f64 c c)) #s(literal -1 binary64) (*.f64 b (/.f64 #s(literal 0 binary64) (pow.f64 c #s(literal 3 binary64))))) c) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 c c))) c)))) d (fma.f64 (/.f64 (fma.f64 (/.f64 a (*.f64 c c)) #s(literal -1 binary64) (*.f64 b (/.f64 #s(literal 0 binary64) (pow.f64 c #s(literal 3 binary64))))) c) (/.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 c c))) b) (pow.f64 c #s(literal 3 binary64)))))) d (fma.f64 (/.f64 a (*.f64 c c)) #s(literal -1 binary64) (*.f64 b (/.f64 #s(literal 0 binary64) (pow.f64 c #s(literal 3 binary64)))))) d (/.f64 b c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* (* c c) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 a c) (*.f64 b (/.f64 #s(literal 0 binary64) (pow.f64 c #s(literal 3 binary64))))) (*.f64 c c)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 c c))) b) (pow.f64 c #s(literal 3 binary64)))) c) (/.f64 #s(literal 0 binary64) c) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 c c))) c) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 a c) (*.f64 b (/.f64 #s(literal 0 binary64) (pow.f64 c #s(literal 3 binary64))))) c) (*.f64 (neg.f64 b) (/.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 c c)))) (pow.f64 c #s(literal 5 binary64)))))) d (fma.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 a c) (*.f64 b (/.f64 #s(literal 0 binary64) (pow.f64 c #s(literal 3 binary64))))) (*.f64 c c)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 c c))) b) (pow.f64 c #s(literal 3 binary64)))))) d (fma.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 a c) (*.f64 b (/.f64 #s(literal 0 binary64) (pow.f64 c #s(literal 3 binary64)))))) d (/.f64 b c))) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (fma.f64 (/.f64 (neg.f64 a) c) (/.f64 d c) (/.f64 b c))) |
#s(approx (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 d d (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* (* c c) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 c c)))) (pow.f64 c #s(literal 5 binary64))) (fma.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 a (*.f64 c c)) #s(literal -1 binary64) (*.f64 b (/.f64 #s(literal 0 binary64) (pow.f64 c #s(literal 3 binary64))))) c) (/.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 c c))) b) (pow.f64 c #s(literal 3 binary64)))) (*.f64 c c)) (*.f64 (/.f64 (fma.f64 (/.f64 a (*.f64 c c)) #s(literal -1 binary64) (*.f64 b (/.f64 #s(literal 0 binary64) (pow.f64 c #s(literal 3 binary64))))) c) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 c c))) c)))) d (fma.f64 (/.f64 (fma.f64 (/.f64 a (*.f64 c c)) #s(literal -1 binary64) (*.f64 b (/.f64 #s(literal 0 binary64) (pow.f64 c #s(literal 3 binary64))))) c) (/.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 c c))) b) (pow.f64 c #s(literal 3 binary64)))))) d (fma.f64 (/.f64 a (*.f64 c c)) #s(literal -1 binary64) (*.f64 b (/.f64 #s(literal 0 binary64) (pow.f64 c #s(literal 3 binary64)))))) d (/.f64 b c))) |
5 calls:
| 41.0ms | c |
| 16.0ms | d |
| 15.0ms | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 15.0ms | a |
| 14.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.5% | 3 | a |
| 72.5% | 5 | b |
| 83.6% | 4 | c |
| 81.7% | 4 | d |
| 78.2% | 3 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
Compiled 19 to 27 computations (-42.1% saved)
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* (* c c) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 b (/.f64 c (*.f64 d d))))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* (* c c) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 c (/.f64 (/.f64 b d) d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 (/.f64 c d) d) b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 #s(approx (- (/ (* c b) d) a) (/.f64 (*.f64 b c) d)) d)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (+ (* a (/ d c)) (neg b)) (neg c)) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 #s(approx (+ (* a (/ d c)) (neg b)) (/.f64 (*.f64 d a) c)) (neg.f64 c))) |
#s(approx (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/.f64 #s(approx (+ (* (neg a) (/ d c)) b) (*.f64 (neg.f64 d) (/.f64 a c))) c)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) (fma.f64 d d (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 (fma.f64 c b (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) |
#s(approx (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c)) |
#s(approx (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 (fma.f64 a (/.f64 d c) (neg.f64 b)) (neg.f64 c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (neg.f64 b) (/.f64 c d) a) (neg.f64 d))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 d d (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 (fma.f64 c b (*.f64 (neg.f64 d) a)) (+.f64 (*.f64 c c) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (+ (* a (/ d c)) (neg b)) (neg c)) (*.f64 (-.f64 (/.f64 b (*.f64 c a)) (/.f64 d (*.f64 c c))) a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (/.f64 d (-.f64 (/.f64 (*.f64 b c) d) a)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (fma.f64 (/.f64 b d) (/.f64 c d) (/.f64 (neg.f64 a) d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (fma.f64 (/.f64 (neg.f64 a) c) (/.f64 d c) (/.f64 b c))) |
(/.f64 (-.f64 (*.f64 (*.f64 c b) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) (*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (*.f64 (neg.f64 d) a))) (*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (hypot.f64 c d)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (hypot.f64 c d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (fma.f64 (neg.f64 (fma.f64 b (/.f64 d (pow.f64 c #s(literal 3 binary64))) (/.f64 a (*.f64 c c)))) d (/.f64 b c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) d)) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 (*.f64 c c) (/.f64 (*.f64 c c) (*.f64 (-.f64 c d) (+.f64 d c))) (neg.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (*.f64 (-.f64 c d) (+.f64 d c)))))) |
(fma.f64 (/.f64 c (hypot.f64 d c)) b (*.f64 (neg.f64 d) (/.f64 a (hypot.f64 d c)))) |
(*.f64 (*.f64 (/.f64 (fma.f64 (neg.f64 d) a (*.f64 c b)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (+.f64 d c)) (-.f64 c d)) |
(/.f64 (*.f64 (*.f64 (-.f64 c d) (+.f64 d c)) (fma.f64 (neg.f64 d) a (*.f64 c b))) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 a (pow.f64 c #s(literal 4 binary64))) d) (/.f64 b (pow.f64 c #s(literal 3 binary64)))) d (/.f64 (/.f64 (neg.f64 a) c) c)) d (/.f64 b c))) |
(/.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 c b) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 c b) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 d a (*.f64 c b)) (*.f64 d a)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (*.f64 (fma.f64 d a (*.f64 c b)) (*.f64 d a)))) (+.f64 (*.f64 c c) (*.f64 d d))) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (fma.f64 (/.f64 (neg.f64 a) c) (/.f64 d c) (/.f64 b c))) |
#s(approx (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 d d (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (fma.f64 (neg.f64 (fma.f64 b (/.f64 d (pow.f64 c #s(literal 3 binary64))) (/.f64 a (*.f64 c c)))) d (/.f64 b c))) |
1 calls:
| 26.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.6% | 4 | c |
Compiled 1 to 4 computations (-300% saved)
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* (* c c) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 b (/.f64 c (*.f64 d d))))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* (* c c) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 c (/.f64 (/.f64 b d) d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 (/.f64 c d) d) b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 #s(approx (- (/ (* c b) d) a) (/.f64 (*.f64 b c) d)) d)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (+ (* a (/ d c)) (neg b)) (neg c)) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 #s(approx (+ (* a (/ d c)) (neg b)) (/.f64 (*.f64 d a) c)) (neg.f64 c))) |
#s(approx (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/.f64 #s(approx (+ (* (neg a) (/ d c)) b) (*.f64 (neg.f64 d) (/.f64 a c))) c)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) (fma.f64 d d (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 (fma.f64 c b (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) |
#s(approx (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c)) |
#s(approx (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 (fma.f64 a (/.f64 d c) (neg.f64 b)) (neg.f64 c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (neg.f64 b) (/.f64 c d) a) (neg.f64 d))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 d d (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 (fma.f64 c b (*.f64 (neg.f64 d) a)) (+.f64 (*.f64 c c) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (+ (* a (/ d c)) (neg b)) (neg c)) (*.f64 (-.f64 (/.f64 b (*.f64 c a)) (/.f64 d (*.f64 c c))) a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (/.f64 d (-.f64 (/.f64 (*.f64 b c) d) a)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (fma.f64 (/.f64 b d) (/.f64 c d) (/.f64 (neg.f64 a) d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (fma.f64 (/.f64 (neg.f64 a) c) (/.f64 d c) (/.f64 b c))) |
(/.f64 (-.f64 (*.f64 (*.f64 c b) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) (*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (*.f64 (neg.f64 d) a))) (*.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (neg.f64 #s(approx (+ (* c c) (* d d)) (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (hypot.f64 c d)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (hypot.f64 c d)))) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (fma.f64 (/.f64 (neg.f64 a) c) (/.f64 d c) (/.f64 b c))) |
#s(approx (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 d d (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (fma.f64 (/.f64 (neg.f64 a) c) (/.f64 d c) (/.f64 b c))) |
1 calls:
| 12.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.6% | 4 | c |
Compiled 1 to 4 computations (-300% saved)
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* (* c c) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 b (/.f64 c (*.f64 d d))))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* (* c c) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 c (/.f64 (/.f64 b d) d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 (/.f64 c d) d) b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 #s(approx (- (/ (* c b) d) a) (/.f64 (*.f64 b c) d)) d)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (+ (* a (/ d c)) (neg b)) (neg c)) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 #s(approx (+ (* a (/ d c)) (neg b)) (/.f64 (*.f64 d a) c)) (neg.f64 c))) |
#s(approx (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/.f64 #s(approx (+ (* (neg a) (/ d c)) b) (*.f64 (neg.f64 d) (/.f64 a c))) c)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) (fma.f64 d d (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 (fma.f64 c b (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) |
#s(approx (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c)) |
#s(approx (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 (fma.f64 a (/.f64 d c) (neg.f64 b)) (neg.f64 c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (neg.f64 b) (/.f64 c d) a) (neg.f64 d))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 d d (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 (fma.f64 c b (*.f64 (neg.f64 d) a)) (+.f64 (*.f64 c c) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (+ (* a (/ d c)) (neg b)) (neg c)) (*.f64 (-.f64 (/.f64 b (*.f64 c a)) (/.f64 d (*.f64 c c))) a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 #s(literal 1 binary64) (/.f64 d (-.f64 (/.f64 (*.f64 b c) d) a)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (fma.f64 (/.f64 b d) (/.f64 c d) (/.f64 (neg.f64 a) d))) |
| Outputs |
|---|
#s(approx (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c)) |
#s(approx (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 d d (*.f64 c c))) |
#s(approx (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c)) |
1 calls:
| 11.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.6% | 4 | c |
Compiled 1 to 4 computations (-300% saved)
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* (* c c) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 b (/.f64 c (*.f64 d d))))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* (* c c) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 c (/.f64 (/.f64 b d) d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 (/.f64 c d) d) b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 #s(approx (- (/ (* c b) d) a) (/.f64 (*.f64 b c) d)) d)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (+ (* a (/ d c)) (neg b)) (neg c)) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 #s(approx (+ (* a (/ d c)) (neg b)) (/.f64 (*.f64 d a) c)) (neg.f64 c))) |
#s(approx (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/.f64 #s(approx (+ (* (neg a) (/ d c)) b) (*.f64 (neg.f64 d) (/.f64 a c))) c)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) (fma.f64 d d (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 (fma.f64 c b (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) |
#s(approx (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c)) |
#s(approx (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 (fma.f64 a (/.f64 d c) (neg.f64 b)) (neg.f64 c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (neg.f64 b) (/.f64 c d) a) (neg.f64 d))) |
| Outputs |
|---|
#s(approx (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c)) |
#s(approx (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) |
#s(approx (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c)) |
1 calls:
| 27.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.7% | 3 | c |
Compiled 1 to 4 computations (-300% saved)
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* (* c c) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 b (/.f64 c (*.f64 d d))))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* (* c c) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 c (/.f64 (/.f64 b d) d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 (/.f64 c d) d) b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 #s(approx (- (/ (* c b) d) a) (/.f64 (*.f64 b c) d)) d)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (+ (* a (/ d c)) (neg b)) (neg c)) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 #s(approx (+ (* a (/ d c)) (neg b)) (/.f64 (*.f64 d a) c)) (neg.f64 c))) |
#s(approx (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/.f64 #s(approx (+ (* (neg a) (/ d c)) b) (*.f64 (neg.f64 d) (/.f64 a c))) c)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) (fma.f64 d d (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 (fma.f64 c b (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) |
#s(approx (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c)) |
| Outputs |
|---|
#s(approx (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) |
#s(approx (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c)) |
1 calls:
| 8.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.7% | 3 | c |
Compiled 1 to 4 computations (-300% saved)
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* (* c c) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 b (/.f64 c (*.f64 d d))))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* (* c c) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 c (/.f64 (/.f64 b d) d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 (/.f64 c d) d) b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 #s(approx (- (/ (* c b) d) a) (/.f64 (*.f64 b c) d)) d)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (+ (* a (/ d c)) (neg b)) (neg c)) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 #s(approx (+ (* a (/ d c)) (neg b)) (/.f64 (*.f64 d a) c)) (neg.f64 c))) |
#s(approx (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/.f64 #s(approx (+ (* (neg a) (/ d c)) b) (*.f64 (neg.f64 d) (/.f64 a c))) c)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) (fma.f64 d d (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 (fma.f64 c b (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.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 d a) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) |
2 calls:
| 10.0ms | c |
| 8.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.3% | 3 | d |
| 78.2% | 3 | c |
Compiled 2 to 8 computations (-300% saved)
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* (* c c) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 b (/.f64 c (*.f64 d d))))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* (* c c) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 c (/.f64 (/.f64 b d) d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 (/.f64 c d) d) b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 #s(approx (- (/ (* c b) d) a) (/.f64 (*.f64 b c) d)) d)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (+ (* a (/ d c)) (neg b)) (neg c)) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 #s(approx (+ (* a (/ d c)) (neg b)) (/.f64 (*.f64 d a) c)) (neg.f64 c))) |
#s(approx (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/.f64 #s(approx (+ (* (neg a) (/ d c)) b) (*.f64 (neg.f64 d) (/.f64 a c))) c)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) (fma.f64 d d (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 (fma.f64 c b (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) |
3 calls:
| 10.0ms | d |
| 8.0ms | c |
| 7.0ms | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.2% | 3 | c |
| 61.5% | 4 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 77.8% | 3 | 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) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 b (/.f64 c (*.f64 d d))))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* (* c c) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 c (/.f64 (/.f64 b d) d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 (/.f64 c d) d) b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 #s(approx (- (/ (* c b) d) a) (/.f64 (*.f64 b c) d)) d)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (+ (* a (/ d c)) (neg b)) (neg c)) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 #s(approx (+ (* a (/ d c)) (neg b)) (/.f64 (*.f64 d a) c)) (neg.f64 c))) |
#s(approx (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/.f64 #s(approx (+ (* (neg a) (/ d c)) b) (*.f64 (neg.f64 d) (/.f64 a c))) c)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) (fma.f64 d d (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 (fma.f64 c b (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
2 calls:
| 7.0ms | c |
| 7.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.5% | 4 | d |
| 71.2% | 4 | c |
Compiled 2 to 8 computations (-300% saved)
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* (* c c) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 b (/.f64 c (*.f64 d d))))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* (* c c) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 c (/.f64 (/.f64 b d) d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 (/.f64 c d) d) b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 #s(approx (- (/ (* c b) d) a) (/.f64 (*.f64 b c) d)) d)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (+ (* a (/ d c)) (neg b)) (neg c)) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 #s(approx (+ (* a (/ d c)) (neg b)) (/.f64 (*.f64 d a) c)) (neg.f64 c))) |
#s(approx (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/.f64 #s(approx (+ (* (neg a) (/ d c)) b) (*.f64 (neg.f64 d) (/.f64 a c))) c)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) (fma.f64 d d (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 (fma.f64 c b (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 (fma.f64 c b (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) (fma.f64 d d (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
4 calls:
| 9.0ms | d |
| 7.0ms | b |
| 7.0ms | c |
| 7.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.5% | 4 | b |
| 58.5% | 5 | a |
| 68.1% | 5 | c |
| 69.8% | 6 | d |
Compiled 4 to 16 computations (-300% saved)
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* (* c c) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 b (/.f64 c (*.f64 d d))))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* (* c c) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 c (/.f64 (/.f64 b d) d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 (/.f64 c d) d) b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 #s(approx (- (/ (* c b) d) a) (/.f64 (*.f64 b c) d)) d)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (+ (* a (/ d c)) (neg b)) (neg c)) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 #s(approx (+ (* a (/ d c)) (neg b)) (/.f64 (*.f64 d a) c)) (neg.f64 c))) |
#s(approx (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/.f64 #s(approx (+ (* (neg a) (/ d c)) b) (*.f64 (neg.f64 d) (/.f64 a c))) c)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) (fma.f64 d d (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) (fma.f64 d d (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
1 calls:
| 6.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.8% | 6 | 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) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 b (/.f64 c (*.f64 d d))))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* (* c c) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 c (/.f64 (/.f64 b d) d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 (/.f64 c d) d) b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 #s(approx (- (/ (* c b) d) a) (/.f64 (*.f64 b c) d)) d)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (+ (* a (/ d c)) (neg b)) (neg c)) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 #s(approx (+ (* a (/ d c)) (neg b)) (/.f64 (*.f64 d a) c)) (neg.f64 c))) |
#s(approx (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/.f64 #s(approx (+ (* (neg a) (/ d c)) b) (*.f64 (neg.f64 d) (/.f64 a c))) c)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) (fma.f64 d d (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
2 calls:
| 7.0ms | c |
| 6.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.1% | 5 | c |
| 67.4% | 5 | d |
Compiled 2 to 8 computations (-300% saved)
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* (* c c) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 b (/.f64 c (*.f64 d d))))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* (* c c) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 c (/.f64 (/.f64 b d) d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 (/.f64 c d) d) b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 #s(approx (- (/ (* c b) d) a) (/.f64 (*.f64 b c) d)) d)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (+ (* a (/ d c)) (neg b)) (neg c)) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 #s(approx (+ (* a (/ d c)) (neg b)) (/.f64 (*.f64 d a) c)) (neg.f64 c))) |
#s(approx (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/.f64 #s(approx (+ (* (neg a) (/ d c)) b) (*.f64 (neg.f64 d) (/.f64 a c))) c)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) (fma.f64 d d (*.f64 c c))) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) (fma.f64 d d (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
2 calls:
| 6.0ms | c |
| 6.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.9% | 4 | d |
| 67.1% | 5 | c |
Compiled 2 to 8 computations (-300% saved)
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* (* c c) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 b (/.f64 c (*.f64 d d))))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* (* c c) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 c (/.f64 (/.f64 b d) d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 (/.f64 c d) d) b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 #s(approx (- (/ (* c b) d) a) (/.f64 (*.f64 b c) d)) d)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (+ (* a (/ d c)) (neg b)) (neg c)) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 #s(approx (+ (* a (/ d c)) (neg b)) (/.f64 (*.f64 d a) c)) (neg.f64 c))) |
#s(approx (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/.f64 #s(approx (+ (* (neg a) (/ d c)) b) (*.f64 (neg.f64 d) (/.f64 a c))) c)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) |
#s(approx (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/.f64 #s(approx (+ (* (neg a) (/ d c)) b) (*.f64 (neg.f64 d) (/.f64 a c))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
1 calls:
| 6.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.9% | 5 | c |
Compiled 1 to 4 computations (-300% saved)
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* (* c c) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 b (/.f64 c (*.f64 d d))))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* (* c c) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 c (/.f64 (/.f64 b d) d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 (/.f64 c d) d) b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 #s(approx (- (/ (* c b) d) a) (/.f64 (*.f64 b c) d)) d)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (+ (* a (/ d c)) (neg b)) (neg c)) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 #s(approx (+ (* a (/ d c)) (neg b)) (/.f64 (*.f64 d a) c)) (neg.f64 c))) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (+ (* a (/ d c)) (neg b)) (neg c)) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
1 calls:
| 5.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.9% | 5 | c |
Compiled 1 to 4 computations (-300% saved)
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* (* c c) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 b (/.f64 c (*.f64 d d))))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* (* c c) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 c (/.f64 (/.f64 b d) d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 (/.f64 c d) d) b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 #s(approx (- (/ (* c b) d) a) (/.f64 (*.f64 b c) d)) d)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
1 calls:
| 5.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.1% | 4 | c |
Compiled 1 to 4 computations (-300% saved)
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* (* c c) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 b (/.f64 c (*.f64 d d))))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* (* c c) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 d) a))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 c (/.f64 (/.f64 b d) d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (- (/ (* c b) d) a) d) (*.f64 (/.f64 (/.f64 c d) d) b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 #s(approx (- (/ (* c b) d) a) (/.f64 (*.f64 b c) 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) d)) |
2 calls:
| 6.0ms | d |
| 4.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.9% | 3 | d |
| 62.3% | 3 | c |
Compiled 2 to 8 computations (-300% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
5 calls:
| 1.0ms | d |
| 1.0ms | a |
| 1.0ms | c |
| 1.0ms | b |
| 1.0ms | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 42.4% | 1 | a |
| 42.4% | 1 | b |
| 42.4% | 1 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 42.4% | 1 | c |
| 42.4% | 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 |
|---|---|---|
| 0.0ms | 1.0483348479391265e+114 | 1.0658372834228655e+114 |
| 14.0ms | 3.273164132359599e-147 | 1.392371346918599e-140 |
| 12.0ms | -3.1678221531890014e-34 | -4.1158790240605744e-36 |
| 16.0ms | 256× | 0 | valid |
Compiled 388 to 354 computations (8.8% saved)
ival-mult: 6.0ms (63% of total)ival-sub: 1.0ms (10.5% of total)ival-div: 1.0ms (10.5% of total)ival-add: 1.0ms (10.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0483348479391265e+114 | 1.0658372834228655e+114 |
| 1.0ms | 3.273164132359599e-147 | 1.392371346918599e-140 |
| 1.0ms | -3.1678221531890014e-34 | -4.1158790240605744e-36 |
Compiled 388 to 354 computations (8.8% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 2.772068929527345e+64 | 6.042797754303071e+75 |
| 1.0ms | 3.273164132359599e-147 | 1.392371346918599e-140 |
| 2.0ms | -3.1678221531890014e-34 | -4.1158790240605744e-36 |
| 10.0ms | 160× | 0 | valid |
Compiled 648 to 574 computations (11.4% saved)
ival-mult: 4.0ms (67.7% of total)ival-sub: 1.0ms (16.9% of total)ival-div: 1.0ms (16.9% of total)ival-add: 1.0ms (16.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 6.449130980982619e+137 | 1.2159908538568987e+141 |
| 1.0ms | 3.273164132359599e-147 | 1.392371346918599e-140 |
| 1.0ms | -3.1678221531890014e-34 | -4.1158790240605744e-36 |
| 9.0ms | 128× | 0 | valid |
Compiled 566 to 515 computations (9% saved)
ival-mult: 4.0ms (69.7% of total)ival-sub: 1.0ms (17.4% of total)ival-div: 1.0ms (17.4% 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 |
|---|---|---|
| 15.0ms | 5.9450343064895406e-55 | 1.2650687922934495e-51 |
| 1.0ms | -3.1678221531890014e-34 | -4.1158790240605744e-36 |
| 10.0ms | 128× | 0 | valid |
Compiled 318 to 318 computations (0% saved)
ival-mult: 3.0ms (64.1% of total)ival-div: 1.0ms (21.4% of total)ival-add: 1.0ms (21.4% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 5.9450343064895406e-55 | 1.2650687922934495e-51 |
| 1.0ms | -3.1678221531890014e-34 | -4.1158790240605744e-36 |
Compiled 318 to 318 computations (0% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 1.1717133138133533e+56 | 3.447602322524279e+61 |
| 11.0ms | -1.0277165122232405e-59 | -7.617394089310786e-62 |
| 17.0ms | 256× | 0 | valid |
Compiled 338 to 338 computations (0% saved)
ival-mult: 6.0ms (62.9% of total)ival-sub: 1.0ms (10.5% of total)ival-div: 1.0ms (10.5% of total)ival-add: 1.0ms (10.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 5.9450343064895406e-55 | 1.2650687922934495e-51 |
| 1.0ms | -3.1678221531890014e-34 | -4.1158790240605744e-36 |
Compiled 318 to 318 computations (0% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 2.087739012008016e+122 | 2.0424378287952295e+124 |
| 2.0ms | -1.0277165122232405e-59 | -7.617394089310786e-62 |
| 16.0ms | -1.879909719771786e+59 | -8.323999997249999e+48 |
| 17.0ms | 272× | 0 | valid |
Compiled 447 to 481 computations (-7.6% saved)
ival-mult: 6.0ms (59.1% of total)ival-sub: 1.0ms (9.9% of total)ival-div: 1.0ms (9.9% of total)ival-add: 1.0ms (9.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 5× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 1.470737724619442e+89 | 1.7023551122916846e+91 |
| 10.0ms | 4.74202724653317e-115 | 5.6195473314082414e-114 |
| 13.0ms | -7.489328587084923e-148 | -9.761699584231059e-150 |
| 5.0ms | -1.0277165122232405e-59 | -7.617394089310786e-62 |
| 1.0ms | -1.879909719771786e+59 | -8.323999997249999e+48 |
| 26.0ms | 368× | 0 | valid |
Compiled 683 to 729 computations (-6.7% saved)
ival-mult: 12.0ms (71.7% of total)ival-div: 2.0ms (12% of total)ival-sub: 1.0ms (6% of total)ival-add: 1.0ms (6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 5× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.470737724619442e+89 | 1.7023551122916846e+91 |
| 1.0ms | 4.74202724653317e-115 | 5.6195473314082414e-114 |
| 1.0ms | -7.489328587084923e-148 | -9.761699584231059e-150 |
| 1.0ms | -1.0277165122232405e-59 | -7.617394089310786e-62 |
| 1.0ms | -1.879909719771786e+59 | -8.323999997249999e+48 |
Compiled 683 to 729 computations (-6.7% saved)
| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 1.7422479479509824e+144 | 3.0957345432754714e+145 |
| 10.0ms | 5.9450343064895406e-55 | 1.2650687922934495e-51 |
| 11.0ms | 2.4105679766598096e-116 | 1.652559871430897e-114 |
| 9.0ms | -3.1678221531890014e-34 | -4.1158790240605744e-36 |
| 26.0ms | 400× | 0 | valid |
Compiled 489 to 543 computations (-11% saved)
ival-mult: 9.0ms (60% of total)ival-sub: 2.0ms (13.3% of total)ival-div: 2.0ms (13.3% of total)ival-add: 2.0ms (13.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 2.772068929527345e+64 | 6.042797754303071e+75 |
| 8.0ms | 2.4687812873750295e-32 | 7.479447190281462e-32 |
| 1.0ms | 2.4105679766598096e-116 | 1.652559871430897e-114 |
| 1.0ms | -3.1678221531890014e-34 | -4.1158790240605744e-36 |
| 16.0ms | 224× | 0 | valid |
Compiled 468 to 534 computations (-14.1% saved)
ival-mult: 7.0ms (70.2% of total)ival-sub: 1.0ms (10% of total)ival-div: 1.0ms (10% of total)ival-add: 1.0ms (10% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 4.612002059385752e+38 | 4.767644209277546e+43 |
| 5.0ms | 2.4687812873750295e-32 | 7.479447190281462e-32 |
| 1.0ms | 2.4105679766598096e-116 | 1.652559871430897e-114 |
| 1.0ms | -3.1678221531890014e-34 | -4.1158790240605744e-36 |
| 12.0ms | 192× | 0 | valid |
Compiled 424 to 516 computations (-21.7% saved)
ival-mult: 5.0ms (68.7% of total)ival-sub: 1.0ms (13.7% of total)ival-div: 1.0ms (13.7% of total)ival-add: 1.0ms (13.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 4.612002059385752e+38 | 4.767644209277546e+43 |
| 0.0ms | 2.4687812873750295e-32 | 7.479447190281462e-32 |
| 1.0ms | 2.4105679766598096e-116 | 1.652559871430897e-114 |
| 1.0ms | -3.1678221531890014e-34 | -4.1158790240605744e-36 |
Compiled 424 to 516 computations (-21.7% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 3.088592850115264e+111 | 1.0483348479391265e+114 |
| 1.0ms | 2.4105679766598096e-116 | 1.652559871430897e-114 |
| 1.0ms | -3.1678221531890014e-34 | -4.1158790240605744e-36 |
| 11.0ms | 128× | 0 | valid |
Compiled 313 to 385 computations (-23% saved)
ival-mult: 6.0ms (81.9% of total)ival-div: 1.0ms (13.6% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 1.1513803291000398e-30 | 2.1554448709746754e-29 |
| 11.0ms | -8.395959295623023e-39 | -2.62572134478205e-40 |
| 15.0ms | 224× | 0 | valid |
Compiled 144 to 228 computations (-58.3% saved)
ival-mult: 6.0ms (68.4% of total)ival-sub: 1.0ms (11.4% of total)ival-div: 1.0ms (11.4% of total)ival-add: 1.0ms (11.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 508× | distribute-lft-neg-in-binary64-*.f64-neg.f64 |
| 304× | neg-mul-1-binary64-*.f64-neg.f64 |
| 282× | neg-sub0-binary64--.f64-neg.f64 |
| 216× | sub-neg-binary64-neg.f64-+.f64--.f64 |
| 204× | cancel-sign-sub-binary64-+.f64-neg.f64-*.f64--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 238 | 2244 |
| 1 | 276 | 2244 |
| 2 | 318 | 2244 |
| 3 | 352 | 2244 |
| 4 | 375 | 2244 |
| 5 | 387 | 2244 |
| 6 | 406 | 2244 |
| 7 | 425 | 2244 |
| 8 | 468 | 2244 |
| 9 | 594 | 2244 |
| 10 | 798 | 2244 |
| 11 | 990 | 2244 |
| 12 | 1189 | 2244 |
| 13 | 1347 | 2244 |
| 14 | 1475 | 2244 |
| 15 | 1565 | 2244 |
| 16 | 1608 | 2244 |
| 17 | 1651 | 2244 |
| 18 | 1690 | 2244 |
| 19 | 1720 | 2244 |
| 20 | 1729 | 2244 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 c #s(literal -5612166287350667/23384026197294446691258957323460528314494920687616 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (fma.f64 (/.f64 (neg.f64 a) c) (/.f64 d c) (/.f64 b c))) (if (<=.f64 c #s(literal 6590205753725385/27459190640522438859927603196325572869077741200573221637577853836742172733590624208490238562645818219909185245565923432148487951998866575250296113164460228608 binary64)) #s(approx (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) (if (<=.f64 c #s(literal 1050000000000000016337386935940185175481611466767114505038259109452375470222993488428234659410799820060016594911232 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 d d (*.f64 c c))) #s(approx (/ (- (* b c) (* a d)) (+ (* (* c c) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 c c)))) (pow.f64 c #s(literal 5 binary64))) (fma.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 a (*.f64 c c)) #s(literal -1 binary64) (*.f64 b (/.f64 #s(literal 0 binary64) (pow.f64 c #s(literal 3 binary64))))) c) (/.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 c c))) b) (pow.f64 c #s(literal 3 binary64)))) (*.f64 c c)) (*.f64 (/.f64 (fma.f64 (/.f64 a (*.f64 c c)) #s(literal -1 binary64) (*.f64 b (/.f64 #s(literal 0 binary64) (pow.f64 c #s(literal 3 binary64))))) c) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 c c))) c)))) d (fma.f64 (/.f64 (fma.f64 (/.f64 a (*.f64 c c)) #s(literal -1 binary64) (*.f64 b (/.f64 #s(literal 0 binary64) (pow.f64 c #s(literal 3 binary64))))) c) (/.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 c c))) b) (pow.f64 c #s(literal 3 binary64)))))) d (fma.f64 (/.f64 a (*.f64 c c)) #s(literal -1 binary64) (*.f64 b (/.f64 #s(literal 0 binary64) (pow.f64 c #s(literal 3 binary64)))))) d (/.f64 b c)))))) |
(if (<=.f64 c #s(literal -5612166287350667/23384026197294446691258957323460528314494920687616 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (fma.f64 (/.f64 (neg.f64 a) c) (/.f64 d c) (/.f64 b c))) (if (<=.f64 c #s(literal 6590205753725385/27459190640522438859927603196325572869077741200573221637577853836742172733590624208490238562645818219909185245565923432148487951998866575250296113164460228608 binary64)) #s(approx (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) (if (<=.f64 c #s(literal 1050000000000000016337386935940185175481611466767114505038259109452375470222993488428234659410799820060016594911232 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 d d (*.f64 c c))) #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (fma.f64 (neg.f64 (fma.f64 b (/.f64 d (pow.f64 c #s(literal 3 binary64))) (/.f64 a (*.f64 c c)))) d (/.f64 b c)))))) |
(if (<=.f64 c #s(literal -5612166287350667/23384026197294446691258957323460528314494920687616 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (fma.f64 (/.f64 (neg.f64 a) c) (/.f64 d c) (/.f64 b c))) (if (<=.f64 c #s(literal 6590205753725385/27459190640522438859927603196325572869077741200573221637577853836742172733590624208490238562645818219909185245565923432148487951998866575250296113164460228608 binary64)) #s(approx (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) (if (<=.f64 c #s(literal 1449999999999999923612771035753806105499553893436027233822143442108891004928 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 d d (*.f64 c c))) #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (fma.f64 (/.f64 (neg.f64 a) c) (/.f64 d c) (/.f64 b c)))))) |
(if (<=.f64 c #s(literal -5612166287350667/23384026197294446691258957323460528314494920687616 binary64)) #s(approx (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c)) (if (<=.f64 c #s(literal 6590205753725385/27459190640522438859927603196325572869077741200573221637577853836742172733590624208490238562645818219909185245565923432148487951998866575250296113164460228608 binary64)) #s(approx (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) (if (<=.f64 c #s(literal 650000000000000021347015617983201951341558168133747602083003727068185554484212197103600855158022818244567178109809583126121518912237469696 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 d d (*.f64 c c))) #s(approx (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c))))) |
(if (<=.f64 c #s(literal -5612166287350667/23384026197294446691258957323460528314494920687616 binary64)) #s(approx (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c)) (if (<=.f64 c #s(literal 6039028053441743/215679573337205118357336120696157045389097155380324579848828881993728 binary64)) #s(approx (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) #s(approx (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c)))) |
(if (<=.f64 c #s(literal -5612166287350667/23384026197294446691258957323460528314494920687616 binary64)) #s(approx (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c)) (if (<=.f64 c #s(literal 6039028053441743/215679573337205118357336120696157045389097155380324579848828881993728 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) #s(approx (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 d c) b) c)))) |
(if (<=.f64 d #s(literal -565391060729083/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) (if (<=.f64 d #s(literal 280000000000000008310336636449409737310516586697384263680 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)))) |
(if (<=.f64 c #s(literal -5612166287350667/23384026197294446691258957323460528314494920687616 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) (if (<=.f64 c #s(literal 6039028053441743/215679573337205118357336120696157045389097155380324579848828881993728 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 c b) d) a) d)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)))) |
(if (<=.f64 d #s(literal -85999999999999998234180078577917906977016790574363200978944 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 d #s(literal -565391060729083/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) (if (<=.f64 d #s(literal 210000000000000015868841242865907974745131924401632520789559800706922039775662376983180947109540482961165315501625935134720 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))))) |
(if (<=.f64 d #s(literal -85999999999999998234180078577917906977016790574363200978944 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 d #s(literal -1492632400324779/226156424291633194186662080095093570025917938800079226639565593765455331328 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) (if (<=.f64 d #s(literal -1324480221113517/115172193140305827399949785796761135587064246228529065807379342658863042065190089480167441564259605943037975312218134915154131611020654072038617988630148194691448832 binary64)) (/.f64 (fma.f64 c b (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (if (<=.f64 d #s(literal 5101712237182299/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 d #s(literal 260000000000000007116819006434937606020893990737782532588971111305932601183310163560366080 binary64)) (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) (fma.f64 d d (*.f64 c c))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))))))) |
(if (<=.f64 d #s(literal -85999999999999998234180078577917906977016790574363200978944 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 d #s(literal -1492632400324779/226156424291633194186662080095093570025917938800079226639565593765455331328 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) (if (<=.f64 d #s(literal -1324480221113517/115172193140305827399949785796761135587064246228529065807379342658863042065190089480167441564259605943037975312218134915154131611020654072038617988630148194691448832 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (if (<=.f64 d #s(literal 5101712237182299/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 d #s(literal 260000000000000007116819006434937606020893990737782532588971111305932601183310163560366080 binary64)) (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) (fma.f64 d d (*.f64 c c))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d))))))) |
(if (<=.f64 c #s(literal -4676805239458889/46768052394588893382517914646921056628989841375232 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 c #s(literal 554533938824163/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 c #s(literal 15838968666951/6739986666787659948666753771754907668409286105635143120275902562304 binary64)) (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) (if (<=.f64 c #s(literal 11500000000000000013134688300661318524723236406615747958778871553224926517500775901913295117707555722489878072776075888241198223822151079128203264 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)))))) |
(if (<=.f64 c #s(literal -4676805239458889/46768052394588893382517914646921056628989841375232 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 c #s(literal 554533938824163/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 c #s(literal 5023911878324979/91343852333181432387730302044767688728495783936 binary64)) (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) (if (<=.f64 c #s(literal 1099999999999999921147346297236632285273445368254950065536489226240 binary64)) (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) (fma.f64 d d (*.f64 c c))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)))))) |
(if (<=.f64 c #s(literal -4676805239458889/46768052394588893382517914646921056628989841375232 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 c #s(literal 554533938824163/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 c #s(literal 3379722536327713/45671926166590716193865151022383844364247891968 binary64)) (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) (if (<=.f64 c #s(literal 650000000000000013701462749682092474368 binary64)) #s(approx (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/.f64 #s(approx (+ (* (neg a) (/ d c)) b) (*.f64 (neg.f64 d) (/.f64 a c))) c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)))))) |
(if (<=.f64 c #s(literal -4676805239458889/46768052394588893382517914646921056628989841375232 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 c #s(literal 554533938824163/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 c #s(literal 3379722536327713/45671926166590716193865151022383844364247891968 binary64)) (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) (if (<=.f64 c #s(literal 650000000000000013701462749682092474368 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (+ (* a (/ d c)) (neg b)) (neg c)) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)))))) |
(if (<=.f64 c #s(literal -4676805239458889/46768052394588893382517914646921056628989841375232 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 c #s(literal 554533938824163/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 c #s(literal 6500000000000000186575686278370882953544177326768983901011689667066530375452576384111194065673430410813824303104 binary64)) (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))))) |
(if (<=.f64 d #s(literal -3187590725001049/6129982163463555433433388108601236734474956488734408704 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 d #s(literal 1248841731117715/356811923176489970264571492362373784095686656 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
| Outputs |
|---|
(if (<=.f64 c #s(literal -5612166287350667/23384026197294446691258957323460528314494920687616 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (fma.f64 (/.f64 (neg.f64 a) c) (/.f64 d c) (/.f64 b c))) (if (<=.f64 c #s(literal 6590205753725385/27459190640522438859927603196325572869077741200573221637577853836742172733590624208490238562645818219909185245565923432148487951998866575250296113164460228608 binary64)) #s(approx (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) (if (<=.f64 c #s(literal 1050000000000000016337386935940185175481611466767114505038259109452375470222993488428234659410799820060016594911232 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 d d (*.f64 c c))) #s(approx (/ (- (* b c) (* a d)) (+ (* (* c c) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 c c)))) (pow.f64 c #s(literal 5 binary64))) (fma.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 a (*.f64 c c)) #s(literal -1 binary64) (*.f64 b (/.f64 #s(literal 0 binary64) (pow.f64 c #s(literal 3 binary64))))) c) (/.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 c c))) b) (pow.f64 c #s(literal 3 binary64)))) (*.f64 c c)) (*.f64 (/.f64 (fma.f64 (/.f64 a (*.f64 c c)) #s(literal -1 binary64) (*.f64 b (/.f64 #s(literal 0 binary64) (pow.f64 c #s(literal 3 binary64))))) c) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 c c))) c)))) d (fma.f64 (/.f64 (fma.f64 (/.f64 a (*.f64 c c)) #s(literal -1 binary64) (*.f64 b (/.f64 #s(literal 0 binary64) (pow.f64 c #s(literal 3 binary64))))) c) (/.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 c c))) b) (pow.f64 c #s(literal 3 binary64)))))) d (fma.f64 (/.f64 a (*.f64 c c)) #s(literal -1 binary64) (*.f64 b (/.f64 #s(literal 0 binary64) (pow.f64 c #s(literal 3 binary64)))))) d (/.f64 b c)))))) |
(if (<=.f64 c #s(literal -5612166287350667/23384026197294446691258957323460528314494920687616 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (fma.f64 (/.f64 (neg.f64 a) c) (/.f64 d c) (/.f64 b c))) (if (<=.f64 c #s(literal 6590205753725385/27459190640522438859927603196325572869077741200573221637577853836742172733590624208490238562645818219909185245565923432148487951998866575250296113164460228608 binary64)) #s(approx (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) (if (<=.f64 c #s(literal 1050000000000000016337386935940185175481611466767114505038259109452375470222993488428234659410799820060016594911232 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 d a)) (fma.f64 d d (*.f64 c c))) #s(approx (/ (- (* b c) (* a d)) (+ (* (* c c) (/ (* c c) (* (- c d) (+ d c)))) (neg (/ (pow d 4) (* (- c d) (+ d c)))))) (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (neg.f64 b) (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 c c))) #s(literal 0 binary64)) (pow.f64 c #s(literal 5 binary64))) (fma.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 a (*.f64 c c)) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 0 binary64) (pow.f64 c #s(literal 3 binary64))) b)) c) (/.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 c c))) b) (pow.f64 c #s(literal 3 binary64)))) (*.f64 c c)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 c c))) c) (/.f64 (fma.f64 (/.f64 a (*.f64 c c)) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 0 binary64) (pow.f64 c #s(literal 3 binary64))) b)) c)))) d (fma.f64 (/.f64 (fma.f64 (/.f64 a (*.f64 c c)) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 0 binary64) (pow.f64 c #s(literal 3 binary64))) b)) c) (/.f64 #s(literal 0 binary64) c) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (*.f64 c c))) b) (pow.f64 c #s(literal 3 binary64)))))) d (fma.f64 (/.f64 a (*.f64 c c)) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 0 binary64) (pow.f64 c #s(literal 3 binary64))) b))) d (/.f64 b c)))))) |
(if (<=.f64 c #s(literal -5612166287350667/23384026197294446691258957323460528314494920687616 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (fma.f64 (/.f64 (neg.f64 a) c) (/.f64 d c) (/.f64 b c))) (if (<=.f64 c #s(literal 6590205753725385/27459190640522438859927603196325572869077741200573221637577853836742172733590624208490238562645818219909185245565923432148487951998866575250296113164460228608 binary64)) #s(approx (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) (if (<=.f64 c #s(literal 1050000000000000016337386935940185175481611466767114505038259109452375470222993488428234659410799820060016594911232 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (fma.f64 d d (*.f64 c c))) #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (fma.f64 (neg.f64 (fma.f64 b (/.f64 d (pow.f64 c #s(literal 3 binary64))) (/.f64 a (*.f64 c c)))) d (/.f64 b c)))))) |
(if (<=.f64 c #s(literal -5612166287350667/23384026197294446691258957323460528314494920687616 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (fma.f64 (/.f64 (neg.f64 a) c) (/.f64 d c) (/.f64 b c))) (if (<=.f64 c #s(literal 6590205753725385/27459190640522438859927603196325572869077741200573221637577853836742172733590624208490238562645818219909185245565923432148487951998866575250296113164460228608 binary64)) #s(approx (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) (if (<=.f64 c #s(literal 1050000000000000016337386935940185175481611466767114505038259109452375470222993488428234659410799820060016594911232 binary64)) (/.f64 (-.f64 (*.f64 b c) (*.f64 d a)) (fma.f64 d d (*.f64 c c))) #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) (fma.f64 (neg.f64 (fma.f64 b (/.f64 d (pow.f64 c #s(literal 3 binary64))) (/.f64 a (*.f64 c c)))) d (/.f64 b c)))))) |
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(if (<=.f64 c #s(literal -4676805239458889/46768052394588893382517914646921056628989841375232 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 c #s(literal 554533938824163/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 c #s(literal 3379722536327713/45671926166590716193865151022383844364247891968 binary64)) (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) (if (<=.f64 c #s(literal 650000000000000013701462749682092474368 binary64)) #s(approx (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/.f64 #s(approx (+ (* (neg a) (/ d c)) b) (*.f64 (neg.f64 d) (/.f64 a c))) c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)))))) |
(if (<=.f64 c #s(literal -4676805239458889/46768052394588893382517914646921056628989841375232 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 c #s(literal 554533938824163/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 c #s(literal 3379722536327713/45671926166590716193865151022383844364247891968 binary64)) (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) (fma.f64 d d (*.f64 c c))) (if (<=.f64 c #s(literal 650000000000000013701462749682092474368 binary64)) #s(approx (/ (- (* (* c b) (neg (+ (* c c) (* d d)))) (* (+ (* c c) (* d d)) (* (neg d) a))) (* (+ (* c c) (* d d)) (neg (+ (* c c) (* d d))))) (/.f64 #s(approx (+ (* (neg a) (/ d c)) b) (*.f64 (/.f64 (neg.f64 a) c) d)) c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)))))) |
(if (<=.f64 c #s(literal -4676805239458889/46768052394588893382517914646921056628989841375232 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 c #s(literal 554533938824163/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 c #s(literal 3379722536327713/45671926166590716193865151022383844364247891968 binary64)) (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) (if (<=.f64 c #s(literal 650000000000000013701462749682092474368 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (+ (* a (/ d c)) (neg b)) (neg c)) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)))))) |
(if (<=.f64 c #s(literal -4676805239458889/46768052394588893382517914646921056628989841375232 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 c #s(literal 554533938824163/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 c #s(literal 3379722536327713/45671926166590716193865151022383844364247891968 binary64)) (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) (fma.f64 d d (*.f64 c c))) (if (<=.f64 c #s(literal 650000000000000013701462749682092474368 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* d d) (* c c))) #s(approx (/ (+ (* a (/ d c)) (neg b)) (neg c)) (*.f64 (/.f64 (neg.f64 d) c) (/.f64 a c)))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)))))) |
(if (<=.f64 c #s(literal -4676805239458889/46768052394588893382517914646921056628989841375232 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 c #s(literal 554533938824163/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 c #s(literal 6500000000000000186575686278370882953544177326768983901011689667066530375452576384111194065673430410813824303104 binary64)) (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))))) |
(if (<=.f64 c #s(literal -4676805239458889/46768052394588893382517914646921056628989841375232 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 c #s(literal 554533938824163/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 c #s(literal 6500000000000000186575686278370882953544177326768983901011689667066530375452576384111194065673430410813824303104 binary64)) (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 b c)) (fma.f64 d d (*.f64 c c))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))))) |
(if (<=.f64 d #s(literal -3187590725001049/6129982163463555433433388108601236734474956488734408704 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 d #s(literal 1248841731117715/356811923176489970264571492362373784095686656 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)) |
| 9 950× | lower-fma.f64 |
| 9 950× | lower-fma.f32 |
| 8 582× | lower-fma.f64 |
| 8 582× | lower-fma.f32 |
| 8 348× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 802 | 11240 |
| 1 | 2902 | 10270 |
| 0 | 8672 | 9109 |
| 0 | 51 | 308 |
| 0 | 75 | 298 |
| 1 | 346 | 244 |
| 2 | 2884 | 244 |
| 0 | 8393 | 214 |
| 0 | 660 | 10295 |
| 1 | 2320 | 9497 |
| 0 | 8272 | 8485 |
| 0 | 793 | 9586 |
| 1 | 2711 | 8331 |
| 0 | 9190 | 7395 |
| 0 | 37 | 201 |
| 0 | 61 | 154 |
| 1 | 257 | 154 |
| 2 | 1970 | 154 |
| 0 | 8237 | 130 |
| 0 | 191 | 1511 |
| 1 | 623 | 1461 |
| 2 | 1863 | 1441 |
| 3 | 5481 | 1432 |
| 0 | 8488 | 1176 |
| 0 | 11 | 35 |
| 0 | 18 | 35 |
| 1 | 65 | 35 |
| 2 | 505 | 35 |
| 3 | 6369 | 35 |
| 0 | 8171 | 27 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 2 209 to 1 076 computations (51.3% saved)
Compiled 2 048 to 462 computations (77.4% saved)
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