
Time bar (total: 7.7s)
| 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)
| 931.0ms | 8 256× | 0 | valid |
ival-mult: 259.0ms (65.8% of total)ival-div: 50.0ms (12.7% of total)ival-sub: 38.0ms (9.7% of total)ival-add: 36.0ms (9.2% of total)ival-true: 6.0ms (1.5% of total)ival-assert: 3.0ms (0.8% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 100 | 1 | (2.551395421909412e-237 -1.0861852551971783e-102 -2.8327953558089964e+187 1.349228400847907e+204) | 1 | (2.60729871259074e-257 -7.552189257949695e-85 -4.375384416026982e-226 -5.090136427523343e-145) | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 0 | 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 | 49 | 0 |
| ↳ | (*.f64 b c) | overflow | 34 | |
| ↳ | (-.f64 (*.f64 b c) (*.f64 a d)) | overflow | 58 | |
| ↳ | (*.f64 a d) | overflow | 27 | |
| ↳ | (+.f64 (*.f64 c c) (*.f64 d d)) | overflow | 123 | |
| ↳ | (*.f64 c c) | overflow | 69 | |
| ↳ | (*.f64 d d) | overflow | 70 | |
/.f64 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) | n/o | 36 | 0 |
| ↳ | (+.f64 (*.f64 c c) (*.f64 d d)) | overflow | 123 | |
| ↳ | (*.f64 c c) | overflow | 69 | |
| ↳ | (*.f64 d d) | overflow | 70 | |
/.f64 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) | o/n | 9 | 0 |
| ↳ | (*.f64 b c) | overflow | 34 | |
| ↳ | (-.f64 (*.f64 b c) (*.f64 a d)) | overflow | 58 | |
| ↳ | (*.f64 a d) | overflow | 27 | |
/.f64 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) | n/u | 3 | 0 |
| ↳ | (+.f64 (*.f64 c c) (*.f64 d d)) | underflow | 10 | |
| ↳ | (*.f64 c c) | underflow | 60 | |
| ↳ | (*.f64 d d) | underflow | 65 | |
/.f64 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) | u/u | 2 | 0 |
| ↳ | (*.f64 b c) | underflow | 28 | |
| ↳ | (-.f64 (*.f64 b c) (*.f64 a d)) | underflow | 3 | |
| ↳ | (*.f64 a d) | underflow | 31 | |
| ↳ | (+.f64 (*.f64 c c) (*.f64 d d)) | underflow | 10 | |
| ↳ | (*.f64 c c) | underflow | 60 | |
| ↳ | (*.f64 d d) | underflow | 65 | |
/.f64 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) | u/n | 1 | 0 |
| ↳ | (*.f64 b c) | underflow | 28 | |
| ↳ | (-.f64 (*.f64 b c) (*.f64 a d)) | underflow | 3 | |
| ↳ | (*.f64 a d) | underflow | 31 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 99 | 1 |
| - | 1 | 155 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 99 | 0 | 1 |
| - | 1 | 0 | 155 |
| number | freq |
|---|---|
| 0 | 156 |
| 1 | 100 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 50.0ms | 512× | 0 | valid |
Compiled 109 to 37 computations (66.1% saved)
ival-mult: 13.0ms (40.6% of total)ival-add: 10.0ms (31.2% of total)ival-sub: 5.0ms (15.6% of total)ival-div: 3.0ms (9.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 1 350× | unsub-neg |
| 982× | div-sub |
| 876× | distribute-rgt-in |
| 874× | distribute-lft-in |
| 752× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 214 |
| 1 | 202 | 214 |
| 2 | 402 | 214 |
| 3 | 976 | 214 |
| 4 | 2796 | 214 |
| 5 | 4580 | 214 |
| 6 | 5390 | 214 |
| 7 | 5495 | 214 |
| 8 | 5515 | 214 |
| 9 | 5531 | 214 |
| 10 | 5531 | 214 |
| 11 | 5995 | 214 |
| 12 | 6203 | 214 |
| 13 | 6203 | 214 |
| 14 | 6203 | 214 |
| 15 | 6299 | 214 |
| 16 | 6299 | 214 |
| 17 | 6371 | 214 |
| 18 | 6403 | 214 |
| 19 | 6403 | 214 |
| 20 | 6403 | 214 |
| 0 | 11 | 15 |
| 0 | 18 | 15 |
| 1 | 29 | 15 |
| 2 | 51 | 15 |
| 3 | 81 | 15 |
| 4 | 140 | 15 |
| 5 | 239 | 15 |
| 6 | 382 | 15 |
| 7 | 630 | 15 |
| 8 | 1092 | 15 |
| 9 | 1766 | 15 |
| 10 | 2007 | 15 |
| 11 | 2047 | 15 |
| 12 | 2075 | 15 |
| 13 | 2075 | 15 |
| 0 | 2075 | 14 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 (fma.f64 (neg.f64 a) d (*.f64 c b)) (fma.f64 d d (*.f64 c c))) |
Compiled 15 to 11 computations (26.7% saved)
Compiled 0 to 4 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 63.0% | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
Compiled 15 to 11 computations (26.7% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 b c) | |
| cost-diff | 0 | (-.f64 (*.f64 b c) (*.f64 a d)) | |
| cost-diff | 0 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) | |
| cost-diff | 128 | (+.f64 (*.f64 c c) (*.f64 d d)) |
| 752× | lower-fma.f64 |
| 752× | lower-fma.f32 |
| 636× | times-frac |
| 512× | lower-*.f32 |
| 504× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 45 |
| 0 | 18 | 45 |
| 1 | 29 | 45 |
| 2 | 51 | 45 |
| 3 | 81 | 45 |
| 4 | 140 | 45 |
| 5 | 239 | 45 |
| 6 | 382 | 45 |
| 7 | 630 | 45 |
| 8 | 1092 | 45 |
| 9 | 1766 | 45 |
| 10 | 2007 | 45 |
| 11 | 2047 | 45 |
| 12 | 2075 | 45 |
| 13 | 2075 | 45 |
| 0 | 2075 | 43 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(-.f64 (*.f64 b c) (*.f64 a d)) |
(*.f64 b c) |
b |
c |
(*.f64 a d) |
a |
d |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(*.f64 c c) |
(*.f64 d d) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 (fma.f64 (neg.f64 a) d (*.f64 c b)) (fma.f64 d d (*.f64 c c))) |
(-.f64 (*.f64 b c) (*.f64 a d)) |
(fma.f64 (neg.f64 a) d (*.f64 c b)) |
(*.f64 b c) |
(*.f64 c b) |
b |
c |
(*.f64 a d) |
(*.f64 d a) |
a |
d |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(fma.f64 d d (*.f64 c c)) |
(*.f64 c c) |
(*.f64 d d) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 b c) | |
| accuracy | 0 | (*.f64 a d) | |
| accuracy | 0.0078125 | (-.f64 (*.f64 b c) (*.f64 a d)) | |
| accuracy | 23.40799191083632 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 25.0ms | 256× | 0 | valid |
Compiled 47 to 13 computations (72.3% saved)
ival-mult: 6.0ms (48.8% of total)ival-sub: 3.0ms (24.4% of total)ival-div: 1.0ms (8.1% of total)ival-add: 1.0ms (8.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ()) |
#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ()) |
#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (pow d 2) (taylor 0 c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a d)) (taylor 0 c) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (- (* b c) (* a d)) (taylor 0 c) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (- (* b c) (* a d)) (taylor 0 c) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (- (* b c) (* a d)) (taylor 0 c) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* b c) (taylor 0 c) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (* b c) (taylor 0 c) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (* b c) (taylor 0 c) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (* b c) (taylor 0 c) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (pow c 2) (taylor inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor inf c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ b (* -1 (/ (* a d) c))) c) (taylor inf c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) (taylor inf c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) (taylor inf c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* b c) (taylor inf c) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ b (* -1 (/ (* a d) c)))) (taylor inf c) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ b (* -1 (/ (* a d) c)))) (taylor inf c) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ b (* -1 (/ (* a d) c)))) (taylor inf c) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* b c) (taylor inf c) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (* b c) (taylor inf c) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (* b c) (taylor inf c) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (* b c) (taylor inf c) (#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (pow c 2) (taylor -inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor -inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor -inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor -inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor -inf c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) (taylor -inf c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) (taylor -inf c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) (taylor -inf c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* b c) (taylor -inf c) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 b) (/ (* a d) c)))) (taylor -inf c) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 b) (/ (* a d) c)))) (taylor -inf c) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
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#s(alt (* a d) (taylor 0 d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor 0 d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor 0 d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor 0 d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (pow d 2) (taylor inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor inf d) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 a) (/ (* b c) d)) d) (taylor inf d) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) (taylor inf d) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) (taylor inf d) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a d)) (taylor inf d) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* d (- (/ (* b c) d) a)) (taylor inf d) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* d (- (/ (* b c) d) a)) (taylor inf d) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* d (- (/ (* b c) d) a)) (taylor inf d) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (pow d 2) (taylor -inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor -inf d) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) (taylor -inf d) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) (taylor -inf d) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) (taylor -inf d) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a d)) (taylor -inf d) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) (taylor -inf d) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) (taylor -inf d) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) (taylor -inf d) (#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor -inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor -inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor -inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
#s(alt (* a d) (taylor -inf d) (#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | d | @ | inf | ((+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (* a d)) |
| 1.0ms | b | @ | inf | ((+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (* a d)) |
| 1.0ms | c | @ | inf | ((+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (* a d)) |
| 1.0ms | c | @ | 0 | ((+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (* a d)) |
| 1.0ms | a | @ | -inf | ((+ (* c c) (* d d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (* a d)) |
| 1× | egg-herbie |
| 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 | 1861 | 1441 |
| 3 | 5489 | 1432 |
| 0 | 8501 | 1356 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow d 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(* -1 (* a d)) |
(- (* b c) (* a d)) |
(- (* b c) (* a d)) |
(- (* b c) (* a d)) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(* b c) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) |
(* b c) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a d)) |
(- (* b c) (* a d)) |
(- (* b c) (* a d)) |
(- (* b c) (* a d)) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b c) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* b c) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* b c) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a d)) |
(* a (- (/ (* b c) a) d)) |
(* a (- (/ (* b c) a) d)) |
(* a (- (/ (* b c) a) d)) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a d)) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(pow c 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(* b c) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(* -1 (* a d)) |
(* d (- (/ (* b c) d) a)) |
(* d (- (/ (* b c) d) a)) |
(* d (- (/ (* b c) d) a)) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(* -1 (* a d)) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
| Outputs |
|---|
(pow d 2) |
(*.f64 d d) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(/.f64 (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) d) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) (neg.f64 b) (/.f64 a (pow.f64 d #s(literal 3 binary64)))) c (/.f64 b (*.f64 d d))) c (/.f64 (neg.f64 a) d)) |
(* -1 (* a d)) |
(*.f64 (neg.f64 a) d) |
(- (* b c) (* a d)) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(- (* b c) (* a d)) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(- (* b c) (* a d)) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(pow c 2) |
(*.f64 c c) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(fma.f64 c c (*.f64 d d)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(fma.f64 c c (*.f64 d d)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(fma.f64 c c (*.f64 d d)) |
(/ b c) |
(/.f64 b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/.f64 (-.f64 b (/.f64 (fma.f64 a d (/.f64 (*.f64 b (*.f64 d d)) c)) c)) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(/.f64 (fma.f64 (pow.f64 (/.f64 d c) #s(literal 3 binary64)) a (-.f64 b (/.f64 (fma.f64 a d (/.f64 (*.f64 b (*.f64 d d)) c)) c))) c) |
(* b c) |
(*.f64 b c) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(pow c 2) |
(*.f64 c c) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(fma.f64 c c (*.f64 d d)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(fma.f64 c c (*.f64 d d)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(fma.f64 c c (*.f64 d d)) |
(/ b c) |
(/.f64 b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(/.f64 (-.f64 b (/.f64 (fma.f64 a d (/.f64 (*.f64 b (*.f64 d d)) c)) c)) c) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) |
(/.f64 (fma.f64 (pow.f64 (/.f64 d c) #s(literal 3 binary64)) a (-.f64 b (/.f64 (fma.f64 a d (/.f64 (*.f64 b (*.f64 d d)) c)) c))) c) |
(* b c) |
(*.f64 b c) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(* -1 (* c (+ (* -1 b) (/ (* a d) c)))) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(* -1 (* a d)) |
(*.f64 (neg.f64 a) d) |
(- (* b c) (* a d)) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(- (* b c) (* a d)) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(- (* b c) (* a d)) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(* b c) |
(*.f64 b c) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(* b (+ c (* -1 (/ (* a d) b)))) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(* b c) |
(*.f64 b c) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(* b c) |
(*.f64 b c) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(fma.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(* b c) |
(*.f64 b c) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) a) c (/.f64 (neg.f64 d) (fma.f64 c c (*.f64 d d)))) a) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) a) c (/.f64 (neg.f64 d) (fma.f64 c c (*.f64 d d)))) a) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) a) c (/.f64 (neg.f64 d) (fma.f64 c c (*.f64 d d)))) a) |
(* -1 (* a d)) |
(*.f64 (neg.f64 a) d) |
(* a (- (/ (* b c) a) d)) |
(*.f64 (-.f64 (/.f64 (*.f64 b c) a) d) a) |
(* a (- (/ (* b c) a) d)) |
(*.f64 (-.f64 (/.f64 (*.f64 b c) a) d) a) |
(* a (- (/ (* b c) a) d)) |
(*.f64 (-.f64 (/.f64 (*.f64 b c) a) d) a) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) a) c (/.f64 (neg.f64 d) (fma.f64 c c (*.f64 d d)))) a) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) a) c (/.f64 (neg.f64 d) (fma.f64 c c (*.f64 d d)))) a) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) a) c (/.f64 (neg.f64 d) (fma.f64 c c (*.f64 d d)))) a) |
(* -1 (* a d)) |
(*.f64 (neg.f64 a) d) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(*.f64 (-.f64 (/.f64 (*.f64 b c) a) d) a) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(*.f64 (-.f64 (/.f64 (*.f64 b c) a) d) a) |
(* -1 (* a (- (* -1 (/ (* b c) a)) (* -1 d)))) |
(*.f64 (-.f64 (/.f64 (*.f64 b c) a) d) a) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(pow c 2) |
(*.f64 c c) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(/ b c) |
(/.f64 b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(/.f64 (-.f64 b (/.f64 (fma.f64 a d (/.f64 (*.f64 b (*.f64 d d)) c)) c)) c) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 a (pow.f64 c #s(literal 4 binary64))) d) (/.f64 b (pow.f64 c #s(literal 3 binary64)))) d (/.f64 (/.f64 (neg.f64 a) c) c)) d (/.f64 b c)) |
(* b c) |
(*.f64 b c) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 (neg.f64 a) d (*.f64 b c)) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(pow d 2) |
(*.f64 d d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(fma.f64 c c (*.f64 d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(fma.f64 c c (*.f64 d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(fma.f64 c c (*.f64 d d)) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/.f64 (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(/.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) d) |
(* -1 (* a d)) |
(*.f64 (neg.f64 a) d) |
(* d (- (/ (* b c) d) a)) |
(*.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) |
(* d (- (/ (* b c) d) a)) |
(*.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) |
(* d (- (/ (* b c) d) a)) |
(*.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(pow d 2) |
(*.f64 d d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(fma.f64 c c (*.f64 d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(fma.f64 c c (*.f64 d d)) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(fma.f64 c c (*.f64 d d)) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(/.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) d) |
(* -1 (* a d)) |
(*.f64 (neg.f64 a) d) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(*.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(*.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) |
(* -1 (* d (- (* -1 (/ (* b c) d)) (* -1 a)))) |
(*.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
(* a d) |
(*.f64 a d) |
| 5 586× | lower-fma.f64 |
| 5 586× | lower-fma.f32 |
| 5 346× | lower-*.f32 |
| 5 338× | lower-*.f64 |
| 3 234× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 35 |
| 0 | 18 | 35 |
| 1 | 65 | 35 |
| 2 | 505 | 35 |
| 3 | 6376 | 35 |
| 0 | 8178 | 33 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 c c) (*.f64 d d)) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(-.f64 (*.f64 b c) (*.f64 a d)) |
(*.f64 b c) |
(*.f64 a d) |
| Outputs |
|---|
#<batchref> |
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Compiled 18 441 to 1 350 computations (92.7% saved)
14 alts after pruning (14 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 632 | 14 | 646 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 633 | 14 | 647 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 63.0% | (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) |
| 31.0% | (/.f64 (/.f64 (fma.f64 (*.f64 b c) (fma.f64 d d (*.f64 c c)) (*.f64 (neg.f64 (fma.f64 d d (*.f64 c c))) (*.f64 a d))) (fma.f64 d d (*.f64 c c))) (fma.f64 d d (*.f64 c c))) | |
| 34.3% | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| 36.1% | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| 39.2% | (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 a) d)) (+.f64 (*.f64 c c) (*.f64 d d))) | |
| 43.4% | #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))) | |
| 46.6% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) d)) | |
| ▶ | 47.7% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) d)) |
| 50.2% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) | |
| ▶ | 54.6% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
| 38.9% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) | |
| ▶ | 45.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
| 45.3% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) | |
| ▶ | 41.6% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
Compiled 412 to 300 computations (27.2% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) | |
| cost-diff | 0 | (/.f64 (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) d) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) d)) | |
| cost-diff | 320 | (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) | |
| cost-diff | 0 | (/.f64 (*.f64 a d) c) | |
| cost-diff | 0 | (-.f64 b (/.f64 (*.f64 a d) c)) | |
| cost-diff | 0 | (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) | |
| cost-diff | 0 | (/.f64 d (fma.f64 c c (*.f64 d d))) | |
| cost-diff | 0 | (neg.f64 a) | |
| cost-diff | 0 | (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) | |
| cost-diff | 0 | (/.f64 b c) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) | |
| cost-diff | 0 | (*.f64 b c) | |
| cost-diff | 0 | (neg.f64 d) | |
| cost-diff | 0 | (fma.f64 (neg.f64 d) a (*.f64 b c)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) |
| 6 196× | lower-fma.f32 |
| 6 188× | lower-fma.f64 |
| 2 494× | lower-*.f32 |
| 2 480× | lower-*.f64 |
| 1 276× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 275 |
| 0 | 60 | 275 |
| 1 | 100 | 275 |
| 2 | 161 | 270 |
| 3 | 284 | 270 |
| 4 | 486 | 270 |
| 5 | 773 | 270 |
| 6 | 1214 | 270 |
| 7 | 2034 | 270 |
| 8 | 4470 | 270 |
| 9 | 6153 | 270 |
| 10 | 7014 | 270 |
| 11 | 7513 | 270 |
| 12 | 7597 | 270 |
| 13 | 7636 | 270 |
| 14 | 7912 | 270 |
| 0 | 8002 | 265 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) |
(fma.f64 (neg.f64 d) a (*.f64 b c)) |
(neg.f64 d) |
d |
a |
(*.f64 b c) |
b |
c |
(fma.f64 d d (*.f64 c c)) |
(*.f64 c c) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
(/.f64 b c) |
b |
c |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))) |
(neg.f64 a) |
a |
(/.f64 d (fma.f64 c c (*.f64 d d))) |
d |
(fma.f64 c c (*.f64 d d)) |
c |
(*.f64 d d) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
(/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) |
(-.f64 b (/.f64 (*.f64 a d) c)) |
b |
(/.f64 (*.f64 a d) c) |
(*.f64 a d) |
a |
d |
c |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) d) |
(-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) |
(/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) |
(fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) |
b |
c |
(/.f64 (*.f64 (*.f64 a c) c) d) |
(*.f64 (*.f64 a c) c) |
(*.f64 a c) |
a |
d |
| Outputs |
|---|
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) |
(/.f64 (fma.f64 a (neg.f64 d) (*.f64 c b)) (fma.f64 c c (*.f64 d d))) |
(fma.f64 (neg.f64 d) a (*.f64 b c)) |
(fma.f64 a (neg.f64 d) (*.f64 c b)) |
(neg.f64 d) |
d |
a |
(*.f64 b c) |
(*.f64 c b) |
b |
c |
(fma.f64 d d (*.f64 c c)) |
(fma.f64 c c (*.f64 d d)) |
(*.f64 c c) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
(/.f64 b c) |
b |
c |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) (neg.f64 d))) |
(*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))) |
(*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) (neg.f64 d)) |
(neg.f64 a) |
a |
(/.f64 d (fma.f64 c c (*.f64 d d))) |
d |
(fma.f64 c c (*.f64 d d)) |
c |
(*.f64 d d) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
(/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) |
(-.f64 b (/.f64 (*.f64 a d) c)) |
b |
(/.f64 (*.f64 a d) c) |
(*.f64 a d) |
a |
d |
c |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 c d) a b) d) c (neg.f64 a)) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) d) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 c d) a b) d) c (neg.f64 a)) d) |
(-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) |
(fma.f64 (/.f64 (fma.f64 (/.f64 c d) a b) d) c (neg.f64 a)) |
(/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) |
(*.f64 (/.f64 (fma.f64 (/.f64 c d) a b) d) c) |
(fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) |
(*.f64 (fma.f64 (/.f64 c d) a b) c) |
b |
c |
(/.f64 (*.f64 (*.f64 a c) c) d) |
(/.f64 (*.f64 (*.f64 c a) c) d) |
(*.f64 (*.f64 a c) c) |
(*.f64 (*.f64 c a) c) |
(*.f64 a c) |
(*.f64 c a) |
a |
d |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.68238427511518 | (/.f64 (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) d) | |
| accuracy | 4.08838070084586 | (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) | |
| accuracy | 6.159074226462402 | (/.f64 (*.f64 (*.f64 a c) c) d) | |
| accuracy | 31.529817426961518 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) d)) | |
| accuracy | 0.00390625 | (-.f64 b (/.f64 (*.f64 a d) c)) | |
| accuracy | 0.5287242650957098 | (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) | |
| accuracy | 2.8162188998076525 | (/.f64 (*.f64 a d) c) | |
| accuracy | 28.70188272934807 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) | |
| accuracy | 0 | (neg.f64 a) | |
| accuracy | 2.4278913816593626 | (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))) | |
| accuracy | 19.872758661934025 | (/.f64 d (fma.f64 c c (*.f64 d d))) | |
| accuracy | 27.916435423724945 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) | |
| accuracy | 0 | (/.f64 b c) | |
| accuracy | 35.19388106508903 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) | |
| accuracy | 0 | (*.f64 c c) | |
| accuracy | 0 | (*.f64 b c) | |
| accuracy | 0 | (neg.f64 d) | |
| accuracy | 23.40799191083632 | (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) |
| 74.0ms | 256× | 0 | valid |
Compiled 249 to 32 computations (87.1% saved)
ival-mult: 23.0ms (47.7% of total)ival-div: 15.0ms (31.1% of total)ival-add: 4.0ms (8.3% of total)ival-sub: 3.0ms (6.2% of total)ival-neg: 2.0ms (4.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) (patch (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ()) |
#s(alt (neg.f64 d) (patch (neg.f64 d) #<representation binary64>) () ()) |
#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) #<representation binary64>) () ()) |
#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))) (patch (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))) #<representation binary64>) () ()) |
#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ()) |
#s(alt (/.f64 d (fma.f64 c c (*.f64 d d))) (patch (/.f64 d (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) (patch (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) #<representation binary64>) () ()) |
#s(alt (-.f64 b (/.f64 (*.f64 a d) c)) (patch (-.f64 b (/.f64 (*.f64 a d) c)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 a d) c) (patch (/.f64 (*.f64 a d) c) #<representation binary64>) () ()) |
#s(alt (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) (patch (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) d)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) d) (patch (/.f64 (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) d) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) (patch (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) #<representation binary64>) () ()) |
#s(alt (*.f64 c c) (patch (*.f64 c c) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 a c) c) d) (patch (/.f64 (*.f64 (*.f64 a c) c) d) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) (patch (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) (patch (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (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 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) (patch (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (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 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) (patch (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (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 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) (patch (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a d)) (taylor 0 c) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* a d)) (* b c)) (taylor 0 c) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* a d)) (* b c)) (taylor 0 c) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* a d)) (* b c)) (taylor 0 c) (#s(alt (fma.f64 (neg.f64 d) a (*.f64 b c)) (patch (fma.f64 (neg.f64 d) a (*.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (* b c) (taylor 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 (* -1 (/ a d)) (taylor 0 c) (#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 (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#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 (+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor 0 c) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor 0 c) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor 0 c) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor 0 c) (#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.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 #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.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 #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))) (patch (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* a (pow c 2)) (pow d 3))) (taylor 0 c) (#s(alt (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))) (patch (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* (pow c 2) (+ (* -1 (/ (* a (pow c 2)) (pow d 5))) (/ a (pow d 3))))) (taylor 0 c) (#s(alt (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))) (patch (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* (pow c 2) (+ (* (pow c 2) (+ (* -1 (/ a (pow d 5))) (/ (* a (pow c 2)) (pow d 7)))) (/ a (pow d 3))))) (taylor 0 c) (#s(alt (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))) (patch (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 d) (taylor 0 c) (#s(alt (/.f64 d (fma.f64 c c (*.f64 d d))) (patch (/.f64 d (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d)) (taylor 0 c) (#s(alt (/.f64 d (fma.f64 c c (*.f64 d d))) (patch (/.f64 d (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow c 2) (- (/ (pow c 2) (pow d 5)) (/ 1 (pow d 3)))) (/ 1 d)) (taylor 0 c) (#s(alt (/.f64 d (fma.f64 c c (*.f64 d d))) (patch (/.f64 d (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 7))) (/ 1 (pow d 5)))) (/ 1 (pow d 3)))) (/ 1 d)) (taylor 0 c) (#s(alt (/.f64 d (fma.f64 c c (*.f64 d d))) (patch (/.f64 d (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) (pow c 2))) (taylor 0 c) (#s(alt (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) (patch (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) (taylor 0 c) (#s(alt (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) (patch (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) (taylor 0 c) (#s(alt (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) (patch (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) (taylor 0 c) (#s(alt (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) (patch (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) c)) (taylor 0 c) (#s(alt (-.f64 b (/.f64 (*.f64 a d) c)) (patch (-.f64 b (/.f64 (*.f64 a d) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* b c) (* a d)) c) (taylor 0 c) (#s(alt (-.f64 b (/.f64 (*.f64 a d) c)) (patch (-.f64 b (/.f64 (*.f64 a d) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* b c) (* a d)) c) (taylor 0 c) (#s(alt (-.f64 b (/.f64 (*.f64 a d) c)) (patch (-.f64 b (/.f64 (*.f64 a d) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* b c) (* a d)) c) (taylor 0 c) (#s(alt (-.f64 b (/.f64 (*.f64 a d) c)) (patch (-.f64 b (/.f64 (*.f64 a d) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor 0 c) (#s(alt (/.f64 (*.f64 a d) c) (patch (/.f64 (*.f64 a d) c) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor 0 c) (#s(alt (/.f64 (*.f64 a d) c) (patch (/.f64 (*.f64 a d) c) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor 0 c) (#s(alt (/.f64 (*.f64 a d) c) (patch (/.f64 (*.f64 a d) c) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor 0 c) (#s(alt (/.f64 (*.f64 a d) c) (patch (/.f64 (*.f64 a d) c) #<representation binary64>) () ())) ()) |
#s(alt (* b c) (taylor 0 c) (#s(alt (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) (patch (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ b (/ (* a c) d))) (taylor 0 c) (#s(alt (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) (patch (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ b (/ (* a c) d))) (taylor 0 c) (#s(alt (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) (patch (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ b (/ (* a c) d))) (taylor 0 c) (#s(alt (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) (patch (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt (/.f64 (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) d) (patch (/.f64 (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) d) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) d) (patch (/.f64 (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) 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 (/.f64 (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) d) (patch (/.f64 (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) 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 (/.f64 (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) d) (patch (/.f64 (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 a) (taylor 0 c) (#s(alt (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) (patch (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) #<representation binary64>) () ())) ()) |
#s(alt (- (/ (* b c) d) a) (taylor 0 c) (#s(alt (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) (patch (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) #<representation binary64>) () ())) ()) |
#s(alt (- (* c (+ (/ b d) (/ (* a c) (pow d 2)))) a) (taylor 0 c) (#s(alt (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) (patch (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) #<representation binary64>) () ())) ()) |
#s(alt (- (* c (+ (/ b d) (/ (* a c) (pow d 2)))) a) (taylor 0 c) (#s(alt (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) (patch (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) #<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 (/ (* a (pow c 2)) d) (taylor 0 c) (#s(alt (/.f64 (*.f64 (*.f64 a c) c) d) (patch (/.f64 (*.f64 (*.f64 a c) c) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a (pow c 2)) d) (taylor 0 c) (#s(alt (/.f64 (*.f64 (*.f64 a c) c) d) (patch (/.f64 (*.f64 (*.f64 a c) c) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a (pow c 2)) d) (taylor 0 c) (#s(alt (/.f64 (*.f64 (*.f64 a c) c) d) (patch (/.f64 (*.f64 (*.f64 a c) c) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a (pow c 2)) d) (taylor 0 c) (#s(alt (/.f64 (*.f64 (*.f64 a c) c) d) (patch (/.f64 (*.f64 (*.f64 a c) c) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) d) (taylor 0 c) (#s(alt (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) (patch (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (/ b d) (/ (* a c) (pow d 2)))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) (patch (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (/ b d) (/ (* a c) (pow d 2)))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) (patch (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (/ b d) (/ (* a c) (pow d 2)))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) (patch (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor inf c) (#s(alt (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) (patch (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* a d) c) (taylor -inf a) (#s(alt (/.f64 (*.f64 a d) c) (patch (/.f64 (*.f64 a d) c) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor -inf a) (#s(alt (/.f64 (*.f64 a d) c) (patch (/.f64 (*.f64 a d) c) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor -inf a) (#s(alt (/.f64 (*.f64 a d) c) (patch (/.f64 (*.f64 a d) c) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor -inf a) (#s(alt (/.f64 (*.f64 a d) c) (patch (/.f64 (*.f64 a d) c) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ a d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor -inf d) (#s(alt (/.f64 (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) d) (patch (/.f64 (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) (taylor -inf d) (#s(alt (/.f64 (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) d) (patch (/.f64 (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) 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 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) d) (patch (/.f64 (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) 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 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) d) (patch (/.f64 (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 a) (taylor -inf d) (#s(alt (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) (patch (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) #<representation binary64>) () ())) ()) |
#s(alt (- (/ (* b c) d) a) (taylor -inf d) (#s(alt (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) (patch (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (+ (* -1 (* b c)) (* -1 (/ (* a (pow c 2)) d))) d)) a) (taylor -inf d) (#s(alt (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) (patch (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (/ (+ (* -1 (* b c)) (* -1 (/ (* a (pow c 2)) d))) d)) a) (taylor -inf d) (#s(alt (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) (patch (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a (pow c 2)) d) (taylor -inf d) (#s(alt (/.f64 (*.f64 (*.f64 a c) c) d) (patch (/.f64 (*.f64 (*.f64 a c) c) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a (pow c 2)) d) (taylor -inf d) (#s(alt (/.f64 (*.f64 (*.f64 a c) c) d) (patch (/.f64 (*.f64 (*.f64 a c) c) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a (pow c 2)) d) (taylor -inf d) (#s(alt (/.f64 (*.f64 (*.f64 a c) c) d) (patch (/.f64 (*.f64 (*.f64 a c) c) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a (pow c 2)) d) (taylor -inf d) (#s(alt (/.f64 (*.f64 (*.f64 a c) c) d) (patch (/.f64 (*.f64 (*.f64 a c) c) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) d) (taylor -inf d) (#s(alt (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) (patch (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (* b c)) (* -1 (/ (* a (pow c 2)) d))) d)) (taylor -inf d) (#s(alt (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) (patch (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (* b c)) (* -1 (/ (* a (pow c 2)) d))) d)) (taylor -inf d) (#s(alt (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) (patch (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (* b c)) (* -1 (/ (* a (pow c 2)) d))) d)) (taylor -inf d) (#s(alt (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) (patch (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 25.0ms | a | @ | 0 | ((/ (+ (* (neg d) a) (* b c)) (+ (* d d) (* c c))) (+ (* (neg d) a) (* b c)) (neg d) (* b c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ b c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (neg a) (/ d (+ (* c c) (* d d)))) (neg a) (/ d (+ (* c c) (* d d))) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- b (/ (* a d) c)) c) (- b (/ (* a d) c)) (/ (* a d) c) (+ (* b c) (/ (* (* a c) c) d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) (* c c) (/ (* (* a c) c) d) (/ (+ (* b c) (/ (* (* a c) c) d)) d)) |
| 9.0ms | d | @ | inf | ((/ (+ (* (neg d) a) (* b c)) (+ (* d d) (* c c))) (+ (* (neg d) a) (* b c)) (neg d) (* b c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ b c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (neg a) (/ d (+ (* c c) (* d d)))) (neg a) (/ d (+ (* c c) (* d d))) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- b (/ (* a d) c)) c) (- b (/ (* a d) c)) (/ (* a d) c) (+ (* b c) (/ (* (* a c) c) d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) (* c c) (/ (* (* a c) c) d) (/ (+ (* b c) (/ (* (* a c) c) d)) d)) |
| 6.0ms | c | @ | -inf | ((/ (+ (* (neg d) a) (* b c)) (+ (* d d) (* c c))) (+ (* (neg d) a) (* b c)) (neg d) (* b c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ b c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (neg a) (/ d (+ (* c c) (* d d)))) (neg a) (/ d (+ (* c c) (* d d))) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- b (/ (* a d) c)) c) (- b (/ (* a d) c)) (/ (* a d) c) (+ (* b c) (/ (* (* a c) c) d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) (* c c) (/ (* (* a c) c) d) (/ (+ (* b c) (/ (* (* a c) c) d)) d)) |
| 4.0ms | a | @ | -inf | ((/ (+ (* (neg d) a) (* b c)) (+ (* d d) (* c c))) (+ (* (neg d) a) (* b c)) (neg d) (* b c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ b c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (neg a) (/ d (+ (* c c) (* d d)))) (neg a) (/ d (+ (* c c) (* d d))) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- b (/ (* a d) c)) c) (- b (/ (* a d) c)) (/ (* a d) c) (+ (* b c) (/ (* (* a c) c) d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) (* c c) (/ (* (* a c) c) d) (/ (+ (* b c) (/ (* (* a c) c) d)) d)) |
| 4.0ms | a | @ | inf | ((/ (+ (* (neg d) a) (* b c)) (+ (* d d) (* c c))) (+ (* (neg d) a) (* b c)) (neg d) (* b c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ b c) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (neg a) (/ d (+ (* c c) (* d d)))) (neg a) (/ d (+ (* c c) (* d d))) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- b (/ (* a d) c)) c) (- b (/ (* a d) c)) (/ (* a d) c) (+ (* b c) (/ (* (* a c) c) d)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) (* c c) (/ (* (* a c) c) d) (/ (+ (* b c) (/ (* (* a c) c) d)) d)) |
| 1× | egg-herbie |
| 8 880× | lower-fma.f64 |
| 8 880× | lower-fma.f32 |
| 5 726× | lower-*.f64 |
| 5 726× | lower-*.f32 |
| 1 904× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 531 | 10156 |
| 1 | 1730 | 9742 |
| 2 | 5443 | 9534 |
| 0 | 8274 | 9072 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(* -1 (* a d)) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(* 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)) (/ (* a (pow c 2)) (pow d 3))) |
(+ (* -1 (/ a d)) (* (pow c 2) (+ (* -1 (/ (* a (pow c 2)) (pow d 5))) (/ a (pow d 3))))) |
(+ (* -1 (/ a d)) (* (pow c 2) (+ (* (pow c 2) (+ (* -1 (/ a (pow d 5))) (/ (* a (pow c 2)) (pow d 7)))) (/ a (pow d 3))))) |
(/ 1 d) |
(+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d)) |
(+ (* (pow c 2) (- (/ (pow c 2) (pow d 5)) (/ 1 (pow d 3)))) (/ 1 d)) |
(+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 7))) (/ 1 (pow d 5)))) (/ 1 (pow d 3)))) (/ 1 d)) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(* -1 (/ (* a d) (pow c 2))) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(* -1 (/ (* a d) c)) |
(/ (- (* b c) (* a d)) c) |
(/ (- (* b c) (* a d)) c) |
(/ (- (* b c) (* a d)) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(* b c) |
(* c (+ b (/ (* a c) d))) |
(* c (+ b (/ (* a c) d))) |
(* c (+ b (/ (* a c) d))) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(* -1 a) |
(- (/ (* b c) d) a) |
(- (* c (+ (/ b d) (/ (* a c) (pow d 2)))) a) |
(- (* c (+ (/ b d) (/ (* a c) (pow d 2)))) a) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(/ (* a (pow c 2)) d) |
(/ (* a (pow c 2)) d) |
(/ (* a (pow c 2)) d) |
(/ (* a (pow c 2)) d) |
(/ (* b c) d) |
(* c (+ (/ b d) (/ (* a c) (pow d 2)))) |
(* c (+ (/ b d) (/ (* a c) (pow d 2)))) |
(* c (+ (/ b d) (/ (* a c) (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) |
(* -1 (/ (* a d) (pow c 2))) |
(/ (+ (* -1 (* a d)) (/ (* a (pow d 3)) (pow c 2))) (pow c 2)) |
(/ (+ (* -1 (* a d)) (+ (* -1 (/ (* a (pow d 5)) (pow c 4))) (/ (* a (pow d 3)) (pow c 2)))) (pow c 2)) |
(/ (+ (* -1 (* a d)) (+ (* -1 (/ (* a (pow d 5)) (pow c 4))) (+ (/ (* a (pow d 3)) (pow c 2)) (/ (* a (pow d 7)) (pow c 6))))) (pow c 2)) |
(/ d (pow c 2)) |
(/ (+ d (* -1 (/ (pow d 3) (pow c 2)))) (pow c 2)) |
(/ (- (+ d (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2))) (pow c 2)) |
(/ (- (+ d (* -1 (/ (pow d 7) (pow c 6)))) (+ (* -1 (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2)))) (pow c 2)) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
b |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a (pow c 2)) d) |
(* (pow c 2) (+ (/ a d) (/ b c))) |
(* (pow c 2) (+ (/ a d) (/ b c))) |
(* (pow c 2) (+ (/ a d) (/ 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) |
(/ (* a (pow c 2)) (pow d 3)) |
(* (pow c 2) (+ (/ a (pow d 3)) (/ b (* c (pow d 2))))) |
(* (pow c 2) (+ (* -1 (/ a (* (pow c 2) d))) (+ (/ a (pow d 3)) (/ b (* c (pow d 2)))))) |
(* (pow c 2) (+ (* -1 (/ a (* (pow c 2) d))) (+ (/ a (pow d 3)) (/ b (* c (pow d 2)))))) |
(/ (* a (pow c 2)) (pow d 2)) |
(* (pow c 2) (+ (/ a (pow d 2)) (/ b (* c d)))) |
(* (pow c 2) (+ (* -1 (/ a (pow c 2))) (+ (/ a (pow d 2)) (/ b (* c d))))) |
(* (pow c 2) (+ (* -1 (/ a (pow c 2))) (+ (/ a (pow d 2)) (/ b (* c d))))) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(/ (* a (pow c 2)) d) |
(/ (* a (pow c 2)) d) |
(/ (* a (pow c 2)) d) |
(/ (* a (pow c 2)) d) |
(/ (* a (pow c 2)) (pow d 2)) |
(* (pow c 2) (+ (/ a (pow d 2)) (/ b (* c d)))) |
(* (pow c 2) (+ (/ a (pow d 2)) (/ b (* c d)))) |
(* (pow c 2) (+ (/ a (pow d 2)) (/ b (* c d)))) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) |
(* b c) |
(* -1 (* 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)) |
(* -1 (/ (* a d) (pow c 2))) |
(/ (+ (* -1 (* a d)) (/ (* a (pow d 3)) (pow c 2))) (pow c 2)) |
(/ (+ (* -1 (* a d)) (+ (* -1 (/ (* a (pow d 5)) (pow c 4))) (/ (* a (pow d 3)) (pow c 2)))) (pow c 2)) |
(/ (+ (* -1 (* a d)) (+ (* -1 (/ (* a (pow d 5)) (pow c 4))) (+ (/ (* a (pow d 3)) (pow c 2)) (/ (* a (pow d 7)) (pow c 6))))) (pow c 2)) |
(/ d (pow c 2)) |
(/ (+ d (* -1 (/ (pow d 3) (pow c 2)))) (pow c 2)) |
(/ (- (+ d (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2))) (pow c 2)) |
(/ (- (+ d (* -1 (/ (pow d 7) (pow c 6)))) (+ (* -1 (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2)))) (pow c 2)) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
b |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a (pow c 2)) d) |
(* (pow c 2) (+ (/ a d) (/ b c))) |
(* (pow c 2) (+ (/ a d) (/ b c))) |
(* (pow c 2) (+ (/ a d) (/ 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)) |
(/ (* a (pow c 2)) (pow d 3)) |
(* (pow c 2) (+ (/ a (pow d 3)) (/ b (* c (pow d 2))))) |
(* (pow c 2) (+ (* -1 (/ (+ (* -1 (/ b (pow d 2))) (/ a (* c d))) c)) (/ a (pow d 3)))) |
(* (pow c 2) (+ (* -1 (/ (+ (* -1 (/ b (pow d 2))) (/ a (* c d))) c)) (/ a (pow d 3)))) |
(/ (* a (pow c 2)) (pow d 2)) |
(* (pow c 2) (+ (/ a (pow d 2)) (/ b (* c d)))) |
(* (pow c 2) (+ (* -1 (/ (+ (* -1 (/ b d)) (/ a c)) c)) (/ a (pow d 2)))) |
(* (pow c 2) (+ (* -1 (/ (+ (* -1 (/ b d)) (/ a c)) c)) (/ a (pow d 2)))) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(/ (* a (pow c 2)) d) |
(/ (* a (pow c 2)) d) |
(/ (* a (pow c 2)) d) |
(/ (* a (pow c 2)) d) |
(/ (* a (pow c 2)) (pow d 2)) |
(* (pow c 2) (+ (/ a (pow d 2)) (/ b (* c d)))) |
(* (pow c 2) (+ (/ a (pow d 2)) (/ b (* c d)))) |
(* (pow c 2) (+ (/ a (pow d 2)) (/ b (* c d)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
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(* -1 (* a d)) |
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(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
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(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
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(+ (* -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)))) |
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(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (pow c 2))) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(* -1 (/ (* a d) c)) |
(- b (/ (* a d) c)) |
(- b (/ (* a d) c)) |
(- b (/ (* a d) c)) |
(/ (* a (pow c 2)) d) |
(+ (* b c) (/ (* a (pow c 2)) d)) |
(+ (* b c) (/ (* a (pow c 2)) d)) |
(+ (* b c) (/ (* a (pow c 2)) d)) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
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(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(/ (- (/ (* a (pow c 2)) (pow d 2)) a) d) |
(- (+ (/ (* a (pow c 2)) (pow d 3)) (/ (* b c) (pow d 2))) (/ a d)) |
(- (+ (/ (* a (pow c 2)) (pow d 3)) (/ (* b c) (pow d 2))) (/ a d)) |
(- (+ (/ (* a (pow c 2)) (pow d 3)) (/ (* b c) (pow d 2))) (/ a d)) |
(- (/ (* a (pow c 2)) (pow d 2)) a) |
(- (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d)) a) |
(- (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d)) a) |
(- (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d)) a) |
(/ (* a (pow c 2)) (pow d 2)) |
(+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d)) |
(+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d)) |
(+ (/ (* a (pow c 2)) (pow d 2)) (/ (* 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 (+ 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))) |
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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 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 (+ (* -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) |
(* b (+ c (/ (* a (pow c 2)) (* b d)))) |
(* b (+ c (/ (* a (pow c 2)) (* b d)))) |
(* b (+ c (/ (* a (pow c 2)) (* b d)))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(/ (* b c) (pow d 2)) |
(* b (- (+ (/ c (pow d 2)) (/ (* a (pow c 2)) (* b (pow d 3)))) (/ a (* b d)))) |
(* b (- (+ (/ c (pow d 2)) (/ (* a (pow c 2)) (* b (pow d 3)))) (/ a (* b d)))) |
(* b (- (+ (/ c (pow d 2)) (/ (* a (pow c 2)) (* b (pow d 3)))) (/ a (* b d)))) |
(/ (* b c) d) |
(* b (- (+ (/ c d) (/ (* a (pow c 2)) (* b (pow d 2)))) (/ a b))) |
(* b (- (+ (/ c d) (/ (* a (pow c 2)) (* b (pow d 2)))) (/ a b))) |
(* b (- (+ (/ c d) (/ (* a (pow c 2)) (* b (pow d 2)))) (/ a b))) |
(/ (* b c) d) |
(* b (+ (/ c d) (/ (* a (pow c 2)) (* b (pow d 2))))) |
(* b (+ (/ c d) (/ (* a (pow c 2)) (* b (pow d 2))))) |
(* b (+ (/ c d) (/ (* a (pow c 2)) (* b (pow d 2))))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* b c) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(* -1 (* b (+ (* -1 c) (/ (* a d) b)))) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(/ b c) |
(/ 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 (- (/ (* 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) |
(* -1 (* b (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (* b d)))))) |
(* -1 (* b (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (* b d)))))) |
(* -1 (* b (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (* b d)))))) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(/ (* b c) (pow d 2)) |
(* -1 (* b (+ (* -1 (/ c (pow d 2))) (* -1 (/ (- (/ (* a (pow c 2)) (pow d 3)) (/ a d)) b))))) |
(* -1 (* b (+ (* -1 (/ c (pow d 2))) (* -1 (/ (- (/ (* a (pow c 2)) (pow d 3)) (/ a d)) b))))) |
(* -1 (* b (+ (* -1 (/ c (pow d 2))) (* -1 (/ (- (/ (* a (pow c 2)) (pow d 3)) (/ a d)) b))))) |
(/ (* b c) d) |
(* -1 (* b (+ (* -1 (/ c d)) (* -1 (/ (- (/ (* a (pow c 2)) (pow d 2)) a) b))))) |
(* -1 (* b (+ (* -1 (/ c d)) (* -1 (/ (- (/ (* a (pow c 2)) (pow d 2)) a) b))))) |
(* -1 (* b (+ (* -1 (/ c d)) (* -1 (/ (- (/ (* a (pow c 2)) (pow d 2)) a) b))))) |
(/ (* b c) d) |
(* -1 (* b (+ (* -1 (/ c d)) (* -1 (/ (* a (pow c 2)) (* b (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c d)) (* -1 (/ (* a (pow c 2)) (* b (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c d)) (* -1 (/ (* a (pow c 2)) (* b (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)) |
(/ (* b 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)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 a) |
(* -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) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
b |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(* b c) |
(+ (* b c) (/ (* a (pow c 2)) d)) |
(+ (* b c) (/ (* a (pow c 2)) d)) |
(+ (* b c) (/ (* a (pow c 2)) 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 d 2)) |
(+ (* a (- (/ (pow c 2) (pow d 3)) (/ 1 d))) (/ (* b c) (pow d 2))) |
(+ (* a (- (/ (pow c 2) (pow d 3)) (/ 1 d))) (/ (* b c) (pow d 2))) |
(+ (* a (- (/ (pow c 2) (pow d 3)) (/ 1 d))) (/ (* b c) (pow d 2))) |
(/ (* b c) d) |
(+ (* a (- (/ (pow c 2) (pow d 2)) 1)) (/ (* b c) d)) |
(+ (* a (- (/ (pow c 2) (pow d 2)) 1)) (/ (* b c) d)) |
(+ (* a (- (/ (pow c 2) (pow d 2)) 1)) (/ (* b c) d)) |
(/ (* a (pow c 2)) d) |
(/ (* a (pow c 2)) d) |
(/ (* a (pow c 2)) d) |
(/ (* a (pow c 2)) d) |
(/ (* b c) d) |
(+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d)) |
(+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d)) |
(+ (/ (* a (pow c 2)) (pow d 2)) (/ (* 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)) |
(* a (+ (* -1 d) (/ (* b c) a))) |
(* a (+ (* -1 d) (/ (* b c) a))) |
(* a (+ (* -1 d) (/ (* b c) 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) (+ (pow c 2) (pow d 2)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a 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) |
(* -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) (pow c 2))) |
(* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c)))) |
(* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c)))) |
(* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c)))) |
(* -1 (/ (* a d) c)) |
(* a (- (/ b a) (/ d c))) |
(* a (- (/ b a) (/ d c))) |
(* a (- (/ b a) (/ d c))) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a (pow c 2)) d) |
(* a (+ (/ (* b c) a) (/ (pow c 2) d))) |
(* a (+ (/ (* b c) a) (/ (pow c 2) d))) |
(* a (+ (/ (* b c) a) (/ (pow c 2) 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)))))) |
(/ (* a (- (/ (pow c 2) (pow d 2)) 1)) d) |
(* a (- (+ (/ (* b c) (* a (pow d 2))) (/ (pow c 2) (pow d 3))) (/ 1 d))) |
(* a (- (+ (/ (* b c) (* a (pow d 2))) (/ (pow c 2) (pow d 3))) (/ 1 d))) |
(* a (- (+ (/ (* b c) (* a (pow d 2))) (/ (pow c 2) (pow d 3))) (/ 1 d))) |
(* a (- (/ (pow c 2) (pow d 2)) 1)) |
(* a (- (+ (/ (* b c) (* a d)) (/ (pow c 2) (pow d 2))) 1)) |
(* a (- (+ (/ (* b c) (* a d)) (/ (pow c 2) (pow d 2))) 1)) |
(* a (- (+ (/ (* b c) (* a d)) (/ (pow c 2) (pow d 2))) 1)) |
(/ (* a (pow c 2)) d) |
(/ (* a (pow c 2)) d) |
(/ (* a (pow c 2)) d) |
(/ (* a (pow c 2)) d) |
(/ (* a (pow c 2)) (pow d 2)) |
(* a (+ (/ (* b c) (* a d)) (/ (pow c 2) (pow d 2)))) |
(* a (+ (/ (* b c) (* a d)) (/ (pow c 2) (pow d 2)))) |
(* a (+ (/ (* b c) (* a 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) (+ (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 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) |
(* -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) (pow c 2))) |
(* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2))))) |
(* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2))))) |
(* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2))))) |
(* -1 (/ (* a d) c)) |
(* -1 (* a (- (* -1 (/ b a)) (* -1 (/ d c))))) |
(* -1 (* a (- (* -1 (/ b a)) (* -1 (/ d c))))) |
(* -1 (* a (- (* -1 (/ b a)) (* -1 (/ d c))))) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a (pow c 2)) d) |
(* -1 (* a (+ (* -1 (/ (* b c) a)) (* -1 (/ (pow c 2) d))))) |
(* -1 (* a (+ (* -1 (/ (* b c) a)) (* -1 (/ (pow c 2) d))))) |
(* -1 (* a (+ (* -1 (/ (* b c) a)) (* -1 (/ (pow c 2) 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 (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) d)) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d))))) |
(* -1 (* a (+ 1 (* -1 (/ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ 1 (+ (* -1 (/ (* b c) (* a d))) (* -1 (/ (pow c 2) (pow d 2))))))) |
(* -1 (* a (+ 1 (+ (* -1 (/ (* b c) (* a d))) (* -1 (/ (pow c 2) (pow d 2))))))) |
(* -1 (* a (+ 1 (+ (* -1 (/ (* b c) (* a d))) (* -1 (/ (pow c 2) (pow d 2))))))) |
(/ (* a (pow c 2)) d) |
(/ (* a (pow c 2)) d) |
(/ (* a (pow c 2)) d) |
(/ (* a (pow c 2)) d) |
(/ (* a (pow c 2)) (pow d 2)) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a d))) (* -1 (/ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a d))) (* -1 (/ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a d))) (* -1 (/ (pow c 2) (pow d 2)))))) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(* b c) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(* -1 d) |
(* -1 d) |
(* -1 d) |
(* -1 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)) |
(* -1 (/ (* a d) (pow c 2))) |
(* d (+ (* -1 (/ a (pow c 2))) (/ (* a (pow d 2)) (pow c 4)))) |
(* d (+ (* -1 (/ a (pow c 2))) (* (pow d 2) (+ (* -1 (/ (* a (pow d 2)) (pow c 6))) (/ a (pow c 4)))))) |
(* d (+ (* -1 (/ a (pow c 2))) (* (pow d 2) (+ (* (pow d 2) (+ (* -1 (/ a (pow c 6))) (/ (* a (pow d 2)) (pow c 8)))) (/ a (pow c 4)))))) |
(/ d (pow c 2)) |
(* d (+ (* -1 (/ (pow d 2) (pow c 4))) (/ 1 (pow c 2)))) |
(* d (+ (* (pow d 2) (- (/ (pow d 2) (pow c 6)) (/ 1 (pow c 4)))) (/ 1 (pow c 2)))) |
(* d (+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 8))) (/ 1 (pow c 6)))) (/ 1 (pow c 4)))) (/ 1 (pow c 2)))) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
b |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a (pow c 2)) d) |
(/ (+ (* a (pow c 2)) (* b (* c d))) d) |
(/ (+ (* a (pow c 2)) (* b (* c d))) d) |
(/ (+ (* a (pow c 2)) (* b (* c d))) 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)) |
(/ (* a (pow c 2)) (pow d 3)) |
(/ (+ (* a (pow c 2)) (* b (* c d))) (pow d 3)) |
(/ (+ (* a (pow c 2)) (* d (+ (* -1 (* a d)) (* b c)))) (pow d 3)) |
(/ (+ (* a (pow c 2)) (* d (+ (* -1 (* a d)) (* b c)))) (pow d 3)) |
(/ (* a (pow c 2)) (pow d 2)) |
(/ (+ (* a (pow c 2)) (* b (* c d))) (pow d 2)) |
(/ (+ (* a (pow c 2)) (* d (+ (* -1 (* a d)) (* b c)))) (pow d 2)) |
(/ (+ (* a (pow c 2)) (* d (+ (* -1 (* a d)) (* b c)))) (pow d 2)) |
(/ (* a (pow c 2)) d) |
(/ (* a (pow c 2)) d) |
(/ (* a (pow c 2)) d) |
(/ (* a (pow c 2)) d) |
(/ (* a (pow c 2)) (pow d 2)) |
(/ (+ (* a (pow c 2)) (* b (* c d))) (pow d 2)) |
(/ (+ (* a (pow c 2)) (* b (* c d))) (pow d 2)) |
(/ (+ (* a (pow c 2)) (* b (* c d))) (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 (+ (* -1 a) (/ (* b c) d))) |
(* d (+ (* -1 a) (/ (* b c) d))) |
(* d (+ (* -1 a) (/ (* b c) d))) |
(* -1 d) |
(* -1 d) |
(* -1 d) |
(* -1 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) (/ (* a (pow c 2)) (pow d 2))) d) |
(/ (+ (* -1 a) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2)))) d) |
(/ (+ (* -1 a) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* a (pow c 6)) (pow d 6))))) d) |
(/ 1 d) |
(/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) d) |
(/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) d) |
(/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) d) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(* -1 (/ (* a d) (pow c 2))) |
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(* -1 (/ (* a d) c)) |
(* d (- (/ b d) (/ a c))) |
(* d (- (/ b d) (/ a c))) |
(* d (- (/ b d) (/ a c))) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(* b c) |
(+ (* b c) (/ (* a (pow c 2)) d)) |
(+ (* b c) (/ (* a (pow c 2)) d)) |
(+ (* b c) (/ (* a (pow c 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) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(* -1 a) |
(- (/ (* b c) d) a) |
(- (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d)) a) |
(- (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d)) a) |
(/ (* a (pow c 2)) d) |
(/ (* a (pow c 2)) d) |
(/ (* a (pow c 2)) d) |
(/ (* a (pow c 2)) d) |
(/ (* b c) d) |
(/ (+ (* b c) (/ (* a (pow c 2)) d)) d) |
(/ (+ (* b c) (/ (* a (pow c 2)) d)) d) |
(/ (+ (* b c) (/ (* a (pow c 2)) 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 d) |
(* -1 d) |
(* -1 d) |
(* -1 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 (/ (* a (pow c 2)) (pow d 2)))) d)) |
(* -1 (/ (- (+ a (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2))) d)) |
(* -1 (/ (- (+ a (* -1 (/ (* a (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2)))) d)) |
(/ 1 d) |
(* -1 (/ (- (/ (pow c 2) (pow d 2)) 1) d)) |
(* -1 (/ (- (* -1 (/ (pow c 4) (pow d 4))) (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) d)) |
(* -1 (/ (- (/ (pow c 6) (pow d 6)) (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (pow c 4) (pow d 4))))) d)) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(* -1 (/ (* a d) c)) |
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) |
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) |
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(* b c) |
(+ (* b c) (/ (* a (pow c 2)) d)) |
(+ (* b c) (/ (* a (pow c 2)) d)) |
(+ (* b c) (/ (* a (pow c 2)) d)) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(* -1 a) |
(- (/ (* b c) d) a) |
(- (* -1 (/ (+ (* -1 (* b c)) (* -1 (/ (* a (pow c 2)) d))) d)) a) |
(- (* -1 (/ (+ (* -1 (* b c)) (* -1 (/ (* a (pow c 2)) d))) d)) a) |
(/ (* a (pow c 2)) d) |
(/ (* a (pow c 2)) d) |
(/ (* a (pow c 2)) d) |
(/ (* a (pow c 2)) d) |
(/ (* b c) d) |
(* -1 (/ (+ (* -1 (* b c)) (* -1 (/ (* a (pow c 2)) d))) d)) |
(* -1 (/ (+ (* -1 (* b c)) (* -1 (/ (* a (pow c 2)) d))) d)) |
(* -1 (/ (+ (* -1 (* b c)) (* -1 (/ (* a (pow c 2)) d))) 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 (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(fma.f64 (*.f64 (/.f64 a (pow.f64 d #s(literal 3 binary64))) c) c (/.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 (*.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 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) |
(* -1 (* a d)) |
(*.f64 (neg.f64 d) a) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 (neg.f64 d) a (*.f64 c b)) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 (neg.f64 d) a (*.f64 c b)) |
(+ (* -1 (* a d)) (* b c)) |
(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) |
(* -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 (/.f64 a (pow.f64 d #s(literal 3 binary64))) c) c (/.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 (*.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 (fma.f64 (/.f64 c d) b (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))) |
(/.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 (/.f64 a (pow.f64 d #s(literal 3 binary64))) c) c (/.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 (*.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 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(+ (* -1 (/ a d)) (/ (* a (pow c 2)) (pow d 3))) |
(*.f64 (/.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)) d) a) |
(+ (* -1 (/ a d)) (* (pow c 2) (+ (* -1 (/ (* a (pow c 2)) (pow d 5))) (/ a (pow d 3))))) |
(fma.f64 (fma.f64 (*.f64 (neg.f64 c) c) (/.f64 a (pow.f64 d #s(literal 5 binary64))) (/.f64 a (pow.f64 d #s(literal 3 binary64)))) (*.f64 c c) (/.f64 (neg.f64 a) d)) |
(+ (* -1 (/ a d)) (* (pow c 2) (+ (* (pow c 2) (+ (* -1 (/ a (pow d 5))) (/ (* a (pow c 2)) (pow d 7)))) (/ a (pow d 3))))) |
(fma.f64 (pow.f64 c #s(literal 4 binary64)) (fma.f64 (*.f64 c c) (/.f64 a (pow.f64 d #s(literal 7 binary64))) (/.f64 (neg.f64 a) (pow.f64 d #s(literal 5 binary64)))) (*.f64 (/.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)) d) a)) |
(/ 1 d) |
(/.f64 #s(literal 1 binary64) d) |
(+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d)) |
(/.f64 (fma.f64 (/.f64 (neg.f64 c) d) (/.f64 c d) #s(literal 1 binary64)) d) |
(+ (* (pow c 2) (- (/ (pow c 2) (pow d 5)) (/ 1 (pow d 3)))) (/ 1 d)) |
(fma.f64 (fma.f64 c (/.f64 c (pow.f64 d #s(literal 5 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 d #s(literal 3 binary64)))) (*.f64 c c) (/.f64 #s(literal 1 binary64) d)) |
(+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 7))) (/ 1 (pow d 5)))) (/ 1 (pow d 3)))) (/ 1 d)) |
(fma.f64 (-.f64 (fma.f64 c (/.f64 c (pow.f64 d #s(literal 5 binary64))) (/.f64 (neg.f64 (pow.f64 c #s(literal 4 binary64))) (pow.f64 d #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 d #s(literal 3 binary64)))) (*.f64 c c) (/.f64 #s(literal 1 binary64) 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))))) |
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(/.f64 (fma.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) c (neg.f64 a)) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(/.f64 (-.f64 (fma.f64 (neg.f64 (pow.f64 (/.f64 c d) #s(literal 3 binary64))) b (*.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) c)) a) d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/.f64 (fma.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) c (neg.f64 a)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/.f64 (fma.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) c (neg.f64 a)) d) |
(* -1 a) |
(neg.f64 a) |
(- (/ (* b c) d) a) |
(fma.f64 (/.f64 c d) b (neg.f64 a)) |
(- (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d)) a) |
(fma.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) c (neg.f64 a)) |
(- (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d)) a) |
(fma.f64 (fma.f64 (/.f64 c d) (/.f64 a d) (/.f64 b d)) c (neg.f64 a)) |
(/ (* a (pow c 2)) d) |
(*.f64 (*.f64 c (/.f64 a d)) c) |
(/ (* a (pow c 2)) d) |
(*.f64 (*.f64 c (/.f64 a d)) c) |
(/ (* a (pow c 2)) d) |
(*.f64 (*.f64 c (/.f64 a d)) c) |
(/ (* a (pow c 2)) d) |
(*.f64 (*.f64 c (/.f64 a d)) c) |
(/ (* b c) d) |
(/.f64 (*.f64 c b) d) |
(/ (+ (* b c) (/ (* a (pow c 2)) d)) d) |
(/.f64 (*.f64 (fma.f64 c (/.f64 a d) b) c) d) |
(/ (+ (* b c) (/ (* a (pow c 2)) d)) d) |
(/.f64 (*.f64 (fma.f64 c (/.f64 a d) b) c) d) |
(/ (+ (* b c) (/ (* a (pow c 2)) d)) d) |
(/.f64 (*.f64 (fma.f64 c (/.f64 a d) b) c) d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 c (/.f64 a d) b) c) d) a) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 c b (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) b) d) #s(literal -1 binary64) (*.f64 (*.f64 c c) a)) d)) d)) (neg.f64 d)) |
(* -1 (* a d)) |
(*.f64 (neg.f64 d) a) |
(* -1 (* d (+ a (* -1 (/ (* b c) d))))) |
(*.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) |
(* -1 (* d (+ a (* -1 (/ (* b c) d))))) |
(*.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) |
(* -1 (* d (+ a (* -1 (/ (* b c) d))))) |
(*.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) |
(* -1 d) |
(neg.f64 d) |
(* -1 d) |
(neg.f64 d) |
(* -1 d) |
(neg.f64 d) |
(* -1 d) |
(neg.f64 d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 c (/.f64 a d) b) c) d) a) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 c b (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) b) d) #s(literal -1 binary64) (*.f64 (*.f64 c c) a)) d)) d)) (neg.f64 d)) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 c (/.f64 a d) b) c) d) a) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 c b (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) b) d) #s(literal -1 binary64) (*.f64 (*.f64 c c) a)) d)) d)) (neg.f64 d)) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* a (pow c 2)) (pow d 2)))) d)) |
(*.f64 (/.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)) d) a) |
(* -1 (/ (- (+ a (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2))) d)) |
(/.f64 (fma.f64 a (fma.f64 (/.f64 (neg.f64 c) d) (/.f64 c d) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) a) (neg.f64 d)) |
(* -1 (/ (- (+ a (* -1 (/ (* a (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2)))) d)) |
(/.f64 (fma.f64 (neg.f64 (pow.f64 c #s(literal 6 binary64))) (/.f64 a (pow.f64 d #s(literal 6 binary64))) (fma.f64 a (fma.f64 (/.f64 (neg.f64 c) d) (/.f64 c d) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) a)) (neg.f64 d)) |
(/ 1 d) |
(/.f64 #s(literal 1 binary64) d) |
(* -1 (/ (- (/ (pow c 2) (pow d 2)) 1) d)) |
(/.f64 (fma.f64 (/.f64 (neg.f64 c) d) (/.f64 c d) #s(literal 1 binary64)) d) |
(* -1 (/ (- (* -1 (/ (pow c 4) (pow d 4))) (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) d)) |
(/.f64 (-.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64))) d) |
(* -1 (/ (- (/ (pow c 6) (pow d 6)) (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (pow c 4) (pow d 4))))) d)) |
(/.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) #s(literal -1 binary64) (-.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)))) d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 c (/.f64 a d) b) c) d) a) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 c b (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) b) d) #s(literal -1 binary64) (*.f64 (*.f64 c c) a)) d)) d)) (neg.f64 d)) |
(* -1 (/ (* a d) (pow c 2))) |
(*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(*.f64 (/.f64 (-.f64 (/.f64 b d) (/.f64 a c)) c) d) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(*.f64 (/.f64 (-.f64 (/.f64 b d) (/.f64 a c)) c) d) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(*.f64 (/.f64 (-.f64 (/.f64 b d) (/.f64 a c)) c) d) |
(* -1 (/ (* a d) c)) |
(*.f64 (/.f64 (neg.f64 d) c) a) |
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) |
(*.f64 (-.f64 (/.f64 b d) (/.f64 a c)) d) |
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) |
(*.f64 (-.f64 (/.f64 b d) (/.f64 a c)) d) |
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) |
(*.f64 (-.f64 (/.f64 b d) (/.f64 a c)) d) |
(/ (* a d) c) |
(/.f64 (*.f64 d a) c) |
(/ (* a d) c) |
(/.f64 (*.f64 d a) c) |
(/ (* a d) c) |
(/.f64 (*.f64 d a) c) |
(/ (* a d) c) |
(/.f64 (*.f64 d a) c) |
(* b c) |
(*.f64 c b) |
(+ (* b c) (/ (* a (pow c 2)) d)) |
(*.f64 (fma.f64 c (/.f64 a d) b) c) |
(+ (* b c) (/ (* a (pow c 2)) d)) |
(*.f64 (fma.f64 c (/.f64 a d) b) c) |
(+ (* b c) (/ (* a (pow c 2)) d)) |
(*.f64 (fma.f64 c (/.f64 a d) b) c) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 c (/.f64 a d) b) c) d) a) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 c b (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) b) d) #s(literal -1 binary64) (*.f64 (*.f64 c c) a)) d)) d)) (neg.f64 d)) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 c (/.f64 a d) b) c) d) a) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 c (/.f64 a d) b) c) d) a) d) |
(* -1 a) |
(neg.f64 a) |
(- (/ (* b c) d) a) |
(fma.f64 (/.f64 c d) b (neg.f64 a)) |
(- (* -1 (/ (+ (* -1 (* b c)) (* -1 (/ (* a (pow c 2)) d))) d)) a) |
(-.f64 (/.f64 (*.f64 (fma.f64 c (/.f64 a d) b) c) d) a) |
(- (* -1 (/ (+ (* -1 (* b c)) (* -1 (/ (* a (pow c 2)) d))) d)) a) |
(-.f64 (/.f64 (*.f64 (fma.f64 c (/.f64 a d) b) c) d) a) |
(/ (* a (pow c 2)) d) |
(*.f64 (*.f64 c (/.f64 a d)) c) |
(/ (* a (pow c 2)) d) |
(*.f64 (*.f64 c (/.f64 a d)) c) |
(/ (* a (pow c 2)) d) |
(*.f64 (*.f64 c (/.f64 a d)) c) |
(/ (* a (pow c 2)) d) |
(*.f64 (*.f64 c (/.f64 a d)) c) |
(/ (* b c) d) |
(/.f64 (*.f64 c b) d) |
(* -1 (/ (+ (* -1 (* b c)) (* -1 (/ (* a (pow c 2)) d))) d)) |
(/.f64 (*.f64 (fma.f64 c (/.f64 a d) b) c) d) |
(* -1 (/ (+ (* -1 (* b c)) (* -1 (/ (* a (pow c 2)) d))) d)) |
(/.f64 (*.f64 (fma.f64 c (/.f64 a d) b) c) d) |
(* -1 (/ (+ (* -1 (* b c)) (* -1 (/ (* a (pow c 2)) d))) d)) |
(/.f64 (*.f64 (fma.f64 c (/.f64 a d) b) c) d) |
| 5 248× | lower-/.f32 |
| 5 232× | lower-/.f64 |
| 4 712× | lower-*.f32 |
| 4 698× | lower-*.f64 |
| 3 128× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 232 |
| 0 | 60 | 232 |
| 1 | 235 | 232 |
| 2 | 1877 | 232 |
| 0 | 8129 | 232 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) |
(fma.f64 (neg.f64 d) a (*.f64 b c)) |
(neg.f64 d) |
(*.f64 b c) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
(/.f64 b c) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
(*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d)))) |
(neg.f64 a) |
(/.f64 d (fma.f64 c c (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
(/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c) |
(-.f64 b (/.f64 (*.f64 a d) c)) |
(/.f64 (*.f64 a d) c) |
(fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) d) |
(-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) |
(*.f64 c c) |
(/.f64 (*.f64 (*.f64 a c) c) d) |
(/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) |
| Outputs |
|---|
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Compiled 37 236 to 3 984 computations (89.3% saved)
21 alts after pruning (20 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 605 | 15 | 1 620 |
| Fresh | 4 | 5 | 9 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 613 | 21 | 1 634 |
| Status | Accuracy | Program |
|---|---|---|
| 34.3% | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| ▶ | 36.1% | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
| 39.2% | (/.f64 #s(approx (+ (* (neg d) a) (* b c)) (*.f64 (neg.f64 d) a)) (fma.f64 d d (*.f64 c c))) | |
| ▶ | 46.0% | (/.f64 #s(approx (+ (* (neg d) a) (* b c)) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) |
| 46.6% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) d)) | |
| 51.1% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) | |
| ▶ | 54.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (/.f64 a c))) c)) |
| ▶ | 38.9% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
| 17.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) (/.f64 (/.f64 (fma.f64 (*.f64 b d) c (*.f64 (*.f64 c c) a)) d) d)) d)) | |
| 27.1% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) (/.f64 (*.f64 c b) d)) d)) | |
| 38.6% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) (*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)) a)) d)) | |
| 21.8% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (/.f64 (neg.f64 d) c) a)) c)) | |
| 45.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (-.f64 (/.f64 b d) (/.f64 a c)) d)) c)) | |
| ✓ | 45.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
| 44.9% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) | |
| 48.3% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b)) | |
| 45.3% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) | |
| 19.8% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 d (*.f64 c c))))) | |
| 38.8% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)))) | |
| ▶ | 28.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d)))) |
| 21.5% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) |
Compiled 454 to 402 computations (11.5% saved)
| 1× | egg-herbie |
Found 19 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)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| cost-diff | 0 | (fma.f64 d d (*.f64 c c)) | |
| cost-diff | 0 | (*.f64 c b) | |
| cost-diff | 0 | #s(approx (+ (* (neg d) a) (* b c)) (*.f64 c b)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* (neg d) a) (* b c)) (*.f64 c b)) (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 (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d))) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d)))) | |
| cost-diff | 0 | (neg.f64 a) | |
| cost-diff | 0 | (/.f64 (neg.f64 a) d) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) | |
| cost-diff | 0 | (*.f64 d (/.f64 a c)) | |
| cost-diff | 0 | (-.f64 b (*.f64 d (/.f64 a c))) | |
| cost-diff | 0 | (/.f64 (-.f64 b (*.f64 d (/.f64 a c))) c) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (/.f64 a c))) c)) |
| 5 356× | lower-fma.f32 |
| 5 354× | lower-fma.f64 |
| 2 740× | lower-*.f32 |
| 2 728× | lower-*.f64 |
| 1 676× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 259 |
| 0 | 62 | 252 |
| 1 | 111 | 252 |
| 2 | 185 | 248 |
| 3 | 329 | 248 |
| 4 | 551 | 248 |
| 5 | 920 | 248 |
| 6 | 1439 | 248 |
| 7 | 2408 | 248 |
| 8 | 5008 | 248 |
| 9 | 6612 | 248 |
| 10 | 7136 | 248 |
| 11 | 7354 | 248 |
| 12 | 7410 | 248 |
| 13 | 7437 | 248 |
| 14 | 7690 | 248 |
| 15 | 7991 | 248 |
| 0 | 8128 | 246 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (/.f64 a c))) c)) |
(/.f64 (-.f64 b (*.f64 d (/.f64 a c))) c) |
(-.f64 b (*.f64 d (/.f64 a c))) |
b |
(*.f64 d (/.f64 a c)) |
d |
(/.f64 a c) |
a |
c |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
(/.f64 (neg.f64 a) d) |
(neg.f64 a) |
a |
d |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d)))) |
#s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) 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 (+ (* (neg d) a) (* b c)) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) |
#s(approx (+ (* (neg d) a) (* b c)) (*.f64 c b)) |
(*.f64 c b) |
c |
b |
(fma.f64 d d (*.f64 c c)) |
d |
(*.f64 c c) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(-.f64 (*.f64 b c) (*.f64 a d)) |
(*.f64 b c) |
b |
c |
(*.f64 a d) |
a |
d |
#s(approx (+ (* c c) (* d d)) (*.f64 c c)) |
(*.f64 c c) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (/.f64 a c))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 (/.f64 a c) d)) c)) |
(/.f64 (-.f64 b (*.f64 d (/.f64 a c))) c) |
(/.f64 (-.f64 b (*.f64 (/.f64 a c) d)) c) |
(-.f64 b (*.f64 d (/.f64 a c))) |
(-.f64 b (*.f64 (/.f64 a c) d)) |
b |
(*.f64 d (/.f64 a c)) |
(*.f64 (/.f64 a c) d) |
d |
(/.f64 a c) |
a |
c |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
(/.f64 (neg.f64 a) d) |
(neg.f64 a) |
a |
d |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (*.f64 (/.f64 (/.f64 c d) d) b))) |
#s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d))) |
#s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) 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 (+ (* (neg d) a) (* b c)) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) |
(/.f64 #s(approx (+ (* (neg d) a) (* b c)) (*.f64 c b)) (fma.f64 c c (*.f64 d d))) |
#s(approx (+ (* (neg d) a) (* b c)) (*.f64 c b)) |
(*.f64 c b) |
c |
b |
(fma.f64 d d (*.f64 c c)) |
(fma.f64 c c (*.f64 d d)) |
d |
(*.f64 c c) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(-.f64 (*.f64 b c) (*.f64 a d)) |
(fma.f64 (neg.f64 d) a (*.f64 c b)) |
(*.f64 b c) |
(*.f64 c b) |
b |
c |
(*.f64 a d) |
(*.f64 d a) |
a |
d |
#s(approx (+ (* c c) (* d d)) (*.f64 c c)) |
(*.f64 c c) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 a d) | |
| accuracy | 0.0078125 | (-.f64 (*.f64 b c) (*.f64 a d)) | |
| accuracy | 23.40799191083632 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| accuracy | 26.860049523231368 | #s(approx (+ (* c c) (* d d)) (*.f64 c c)) | |
| accuracy | 0 | (*.f64 c c) | |
| accuracy | 0 | (*.f64 c b) | |
| accuracy | 23.40799191083632 | (/.f64 #s(approx (+ (* (neg d) a) (* b c)) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) | |
| accuracy | 28.03768817264191 | #s(approx (+ (* (neg d) a) (* b c)) (*.f64 c b)) | |
| accuracy | 0 | (/.f64 b d) | |
| accuracy | 2.5568017347990426 | (*.f64 (/.f64 c d) (/.f64 b d)) | |
| accuracy | 31.529817426961518 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d)))) | |
| accuracy | 34.77670350363807 | #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d))) | |
| accuracy | 0 | (/.f64 (neg.f64 a) d) | |
| accuracy | 0 | (neg.f64 a) | |
| accuracy | 39.09716954126196 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) | |
| accuracy | 0.00390625 | (-.f64 b (*.f64 d (/.f64 a c))) | |
| accuracy | 0.5287242650957098 | (/.f64 (-.f64 b (*.f64 d (/.f64 a c))) c) | |
| accuracy | 4.2865443134996015 | (*.f64 d (/.f64 a c)) | |
| accuracy | 28.70188272934807 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (/.f64 a c))) c)) |
| 75.0ms | 256× | 0 | valid |
Compiled 198 to 35 computations (82.3% saved)
ival-div: 30.0ms (52.4% of total)ival-mult: 16.0ms (27.9% of total)ival-add: 5.0ms (8.7% of total)ival-sub: 4.0ms (7% of total)ival-neg: 2.0ms (3.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (/.f64 a c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (/.f64 a c))) c)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 b (*.f64 d (/.f64 a c))) c) (patch (/.f64 (-.f64 b (*.f64 d (/.f64 a c))) c) #<representation binary64>) () ()) |
#s(alt (-.f64 b (*.f64 d (/.f64 a c))) (patch (-.f64 b (*.f64 d (/.f64 a c))) #<representation binary64>) () ()) |
#s(alt (*.f64 d (/.f64 a c)) (patch (*.f64 d (/.f64 a c)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) #<representation binary64>) () ()) |
#s(alt (/.f64 (neg.f64 a) d) (patch (/.f64 (neg.f64 a) d) #<representation binary64>) () ()) |
#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d)))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d))) (patch #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) 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 (+ (* (neg d) a) (* b c)) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) (patch (/.f64 #s(approx (+ (* (neg d) a) (* b c)) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (neg d) a) (* b c)) (*.f64 c b)) (patch #s(approx (+ (* (neg d) a) (* b c)) (*.f64 c b)) #<representation binary64>) () ()) |
#s(alt (*.f64 c b) (patch (*.f64 c b) #<representation binary64>) () ()) |
#s(alt (fma.f64 d d (*.f64 c c)) (patch (fma.f64 d d (*.f64 c c)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 b c) (*.f64 a d)) (patch (-.f64 (*.f64 b c) (*.f64 a d)) #<representation binary64>) () ()) |
#s(alt (*.f64 b c) (patch (*.f64 b c) #<representation binary64>) () ()) |
#s(alt (*.f64 a d) (patch (*.f64 a d) #<representation binary64>) () ()) |
#s(alt (/.f64 b d) (patch (/.f64 b d) #<representation binary64>) () ()) |
#s(alt (*.f64 c c) (patch (*.f64 c c) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (/.f64 a c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (/.f64 a c))) c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (/.f64 a c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (/.f64 a c))) c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (/.f64 a c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (/.f64 a c))) c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (/.f64 a c))) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (/.f64 a c))) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) (pow c 2))) (taylor 0 c) (#s(alt (/.f64 (-.f64 b (*.f64 d (/.f64 a c))) c) (patch (/.f64 (-.f64 b (*.f64 d (/.f64 a c))) c) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) (taylor 0 c) (#s(alt (/.f64 (-.f64 b (*.f64 d (/.f64 a c))) c) (patch (/.f64 (-.f64 b (*.f64 d (/.f64 a c))) c) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) (taylor 0 c) (#s(alt (/.f64 (-.f64 b (*.f64 d (/.f64 a c))) c) (patch (/.f64 (-.f64 b (*.f64 d (/.f64 a c))) c) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) (taylor 0 c) (#s(alt (/.f64 (-.f64 b (*.f64 d (/.f64 a c))) c) (patch (/.f64 (-.f64 b (*.f64 d (/.f64 a c))) c) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) c)) (taylor 0 c) (#s(alt (-.f64 b (*.f64 d (/.f64 a c))) (patch (-.f64 b (*.f64 d (/.f64 a c))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* b c) (* a d)) c) (taylor 0 c) (#s(alt (-.f64 b (*.f64 d (/.f64 a c))) (patch (-.f64 b (*.f64 d (/.f64 a c))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* b c) (* a d)) c) (taylor 0 c) (#s(alt (-.f64 b (*.f64 d (/.f64 a c))) (patch (-.f64 b (*.f64 d (/.f64 a c))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* b c) (* a d)) c) (taylor 0 c) (#s(alt (-.f64 b (*.f64 d (/.f64 a c))) (patch (-.f64 b (*.f64 d (/.f64 a c))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor 0 c) (#s(alt (*.f64 d (/.f64 a c)) (patch (*.f64 d (/.f64 a c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor 0 c) (#s(alt (*.f64 d (/.f64 a c)) (patch (*.f64 d (/.f64 a c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor 0 c) (#s(alt (*.f64 d (/.f64 a c)) (patch (*.f64 d (/.f64 a c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a d) c) (taylor 0 c) (#s(alt (*.f64 d (/.f64 a c)) (patch (*.f64 d (/.f64 a c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d)))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) 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)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d)))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) 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)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d)))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) 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)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d)))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d))) (patch #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) 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 c) c) d)) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d))) (patch #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) 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 c) c) d)) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d))) (patch #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) 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 c) c) d)) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d))) (patch #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) 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 (+ (* (neg d) a) (* b c)) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) (patch (/.f64 #s(approx (+ (* (neg d) a) (* b c)) (*.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 (+ (* (neg d) a) (* b c)) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) (patch (/.f64 #s(approx (+ (* (neg d) a) (* b c)) (*.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 (+ (* (neg d) a) (* b c)) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) (patch (/.f64 #s(approx (+ (* (neg d) a) (* b c)) (*.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 (+ (* (neg d) a) (* b c)) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) (patch (/.f64 #s(approx (+ (* (neg d) a) (* b c)) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a d)) (taylor 0 c) (#s(alt #s(approx (+ (* (neg d) a) (* b c)) (*.f64 c b)) (patch #s(approx (+ (* (neg d) a) (* b c)) (*.f64 c b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* a d)) (* b c)) (taylor 0 c) (#s(alt #s(approx (+ (* (neg d) a) (* b c)) (*.f64 c b)) (patch #s(approx (+ (* (neg d) a) (* b c)) (*.f64 c b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* a d)) (* b c)) (taylor 0 c) (#s(alt #s(approx (+ (* (neg d) a) (* b c)) (*.f64 c b)) (patch #s(approx (+ (* (neg d) a) (* b c)) (*.f64 c b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* a d)) (* b c)) (taylor 0 c) (#s(alt #s(approx (+ (* (neg d) a) (* b c)) (*.f64 c b)) (patch #s(approx (+ (* (neg d) a) (* b c)) (*.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 (fma.f64 d d (*.f64 c c)) (patch (fma.f64 d d (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (fma.f64 d d (*.f64 c c)) (patch (fma.f64 d d (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (fma.f64 d d (*.f64 c c)) (patch (fma.f64 d d (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (fma.f64 d d (*.f64 c c)) (patch (fma.f64 d d (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ()) |
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#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 (pow d 2) (taylor -inf d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 36.0ms | c | @ | -inf | ((/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- b (* d (/ a c))) c) (- b (* d (/ a c))) (* d (/ a c)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (neg a) d) (neg a) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (* (/ c d) (/ b d)) (/ c d) (/ (+ (* (neg d) a) (* b c)) (+ (* d d) (* c c))) (+ (* (neg d) a) (* b c)) (* c b) (+ (* d d) (* c c)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (* a d) (/ b d) (* c c) (+ (* c c) (* d d))) |
| 13.0ms | d | @ | -inf | ((/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- b (* d (/ a c))) c) (- b (* d (/ a c))) (* d (/ a c)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (neg a) d) (neg a) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (* (/ c d) (/ b d)) (/ c d) (/ (+ (* (neg d) a) (* b c)) (+ (* d d) (* c c))) (+ (* (neg d) a) (* b c)) (* c b) (+ (* d d) (* c c)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (* a d) (/ b d) (* c c) (+ (* c c) (* d d))) |
| 3.0ms | b | @ | -inf | ((/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- b (* d (/ a c))) c) (- b (* d (/ a c))) (* d (/ a c)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (neg a) d) (neg a) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (* (/ c d) (/ b d)) (/ c d) (/ (+ (* (neg d) a) (* b c)) (+ (* d d) (* c c))) (+ (* (neg d) a) (* b c)) (* c b) (+ (* d d) (* c c)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (* a d) (/ b d) (* c c) (+ (* c c) (* d d))) |
| 2.0ms | a | @ | -inf | ((/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- b (* d (/ a c))) c) (- b (* d (/ a c))) (* d (/ a c)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (neg a) d) (neg a) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (* (/ c d) (/ b d)) (/ c d) (/ (+ (* (neg d) a) (* b c)) (+ (* d d) (* c c))) (+ (* (neg d) a) (* b c)) (* c b) (+ (* d d) (* c c)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (* a d) (/ b d) (* c c) (+ (* c c) (* d d))) |
| 2.0ms | b | @ | inf | ((/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- b (* d (/ a c))) c) (- b (* d (/ a c))) (* d (/ a c)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (neg a) d) (neg a) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (* (/ c d) (/ b d)) (/ c d) (/ (+ (* (neg d) a) (* b c)) (+ (* d d) (* c c))) (+ (* (neg d) a) (* b c)) (* c b) (+ (* d d) (* c c)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (- (* b c) (* a d)) (* b c) (* a d) (/ b d) (* c c) (+ (* c c) (* d d))) |
| 1× | egg-herbie |
| 8 672× | lower-fma.f64 |
| 8 672× | lower-fma.f32 |
| 4 796× | lower-*.f64 |
| 4 796× | lower-*.f32 |
| 2 652× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 319 | 8403 |
| 1 | 1056 | 8108 |
| 2 | 3239 | 7865 |
| 0 | 8077 | 7513 |
| 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) (pow c 2))) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(* -1 (/ (* a d) c)) |
(/ (- (* b c) (* a d)) c) |
(/ (- (* b c) (* a d)) c) |
(/ (- (* b c) (* a d)) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(* -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) (pow d 2))) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(/ (* 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)) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(* 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)) |
(- (* 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) |
(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) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
b |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ 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) |
(/ (* a (pow c 2)) (pow d 3)) |
(* (pow c 2) (+ (/ a (pow d 3)) (/ b (* c (pow d 2))))) |
(* (pow c 2) (+ (* -1 (/ a (* (pow c 2) d))) (+ (/ a (pow d 3)) (/ b (* c (pow d 2)))))) |
(* (pow c 2) (+ (* -1 (/ a (* (pow c 2) d))) (+ (/ a (pow d 3)) (/ 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) |
(/ (+ 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) |
(* 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) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
b |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) |
(/ b c) |
(* -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)) |
(/ (* a (pow c 2)) (pow d 3)) |
(* (pow c 2) (+ (/ a (pow d 3)) (/ b (* c (pow d 2))))) |
(* (pow c 2) (+ (* -1 (/ (+ (* -1 (/ b (pow d 2))) (/ a (* c d))) c)) (/ a (pow d 3)))) |
(* (pow c 2) (+ (* -1 (/ (+ (* -1 (/ b (pow d 2))) (/ a (* c d))) c)) (/ a (pow d 3)))) |
(/ (* 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) |
(* 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) |
(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)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (pow c 2))) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(* -1 (/ (* a d) c)) |
(- b (/ (* a d) c)) |
(- b (/ (* a d) c)) |
(- b (/ (* a d) c)) |
(* -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)))) |
(/ (- (/ (* a (pow c 2)) (pow d 2)) a) d) |
(- (+ (/ (* a (pow c 2)) (pow d 3)) (/ (* b c) (pow d 2))) (/ a d)) |
(- (+ (/ (* a (pow c 2)) (pow d 3)) (/ (* b c) (pow d 2))) (/ a d)) |
(- (+ (/ (* a (pow c 2)) (pow d 3)) (/ (* b c) (pow d 2))) (/ a d)) |
(/ (* 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)) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a d)) |
(- (* b c) (* a d)) |
(- (* b c) (* a d)) |
(- (* b c) (* a d)) |
(* b c) |
(* b c) |
(* b c) |
(* b c) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(/ b c) |
(* 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) (+ (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 (- (+ (/ c (pow d 2)) (/ (* a (pow c 2)) (* b (pow d 3)))) (/ a (* b d)))) |
(* b (- (+ (/ c (pow d 2)) (/ (* a (pow c 2)) (* b (pow d 3)))) (/ a (* b d)))) |
(* b (- (+ (/ c (pow d 2)) (/ (* a (pow c 2)) (* b (pow d 3)))) (/ 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))) |
(* 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 (* -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 d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(/ b c) |
(* -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) (+ (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))) (* -1 (/ (- (/ (* a (pow c 2)) (pow d 3)) (/ a d)) b))))) |
(* -1 (* b (+ (* -1 (/ c (pow d 2))) (* -1 (/ (- (/ (* a (pow c 2)) (pow d 3)) (/ a d)) b))))) |
(* -1 (* b (+ (* -1 (/ c (pow d 2))) (* -1 (/ (- (/ (* a (pow c 2)) (pow d 3)) (/ a d)) b))))) |
(/ (* 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) |
(* 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 d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
b |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(/ (* b c) (pow d 2)) |
(+ (* a (- (/ (pow c 2) (pow d 3)) (/ 1 d))) (/ (* b c) (pow d 2))) |
(+ (* a (- (/ (pow c 2) (pow d 3)) (/ 1 d))) (/ (* b c) (pow d 2))) |
(+ (* a (- (/ (pow c 2) (pow d 3)) (/ 1 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)) |
(/ (* b 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) (pow c 2))) |
(* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c)))) |
(* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c)))) |
(* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c)))) |
(* -1 (/ (* a d) c)) |
(* a (- (/ b a) (/ d c))) |
(* a (- (/ b a) (/ d c))) |
(* a (- (/ b a) (/ d c))) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(/ (* a (- (/ (pow c 2) (pow d 2)) 1)) d) |
(* a (- (+ (/ (* b c) (* a (pow d 2))) (/ (pow c 2) (pow d 3))) (/ 1 d))) |
(* a (- (+ (/ (* b c) (* a (pow d 2))) (/ (pow c 2) (pow d 3))) (/ 1 d))) |
(* a (- (+ (/ (* b c) (* a (pow d 2))) (/ (pow c 2) (pow d 3))) (/ 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 (+ (* -1 d) (/ (* b c) a))) |
(* a (+ (* -1 d) (/ (* b c) a))) |
(* a (+ (* -1 d) (/ (* b c) 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)) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2))))) |
(* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2))))) |
(* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2))))) |
(* -1 (/ (* a d) c)) |
(* -1 (* a (- (* -1 (/ b a)) (* -1 (/ d c))))) |
(* -1 (* a (- (* -1 (/ b a)) (* -1 (/ d c))))) |
(* -1 (* a (- (* -1 (/ b a)) (* -1 (/ d c))))) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ (* a (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) d)) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (+ (* -1 (/ (pow c 2) (pow d 3))) (/ 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 (+ d (* -1 (/ (* b c) a))))) |
(* -1 (* a (+ d (* -1 (/ (* b c) a))))) |
(* -1 (* a (+ d (* -1 (/ (* b c) 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)))) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
b |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(/ (* a (pow c 2)) (pow d 3)) |
(/ (+ (* a (pow c 2)) (* b (* c d))) (pow d 3)) |
(/ (+ (* a (pow c 2)) (* d (+ (* -1 (* a d)) (* b c)))) (pow d 3)) |
(/ (+ (* a (pow c 2)) (* d (+ (* -1 (* a d)) (* b c)))) (pow d 3)) |
(/ (* 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)) |
(pow c 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(/ b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* -1 (/ (* b d) (pow c 3))))) (/ b c)) |
(+ (* d (+ (* -1 (/ a (pow c 2))) (* d (- (/ (* a d) (pow c 4)) (/ b (pow c 3)))))) (/ b c)) |
(* b c) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(+ (* -1 (* a d)) (* b c)) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b 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) (pow c 2))) |
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(* -1 (/ (* a d) c)) |
(* d (- (/ b d) (/ a c))) |
(* d (- (/ b d) (/ a c))) |
(* d (- (/ b d) (/ a c))) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* 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 (+ (* -1 a) (/ (* b c) d))) |
(* d (+ (* -1 a) (/ (* b c) d))) |
(* d (+ (* -1 a) (/ (* b c) d))) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(* -1 (* a d)) |
(* d (- (/ (* b c) d) a)) |
(* d (- (/ (* b c) d) a)) |
(* d (- (/ (* b c) d) a)) |
(* a d) |
(* a d) |
(* a d) |
(* a d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b 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) (pow c 2))) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(* -1 (/ (* a d) c)) |
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) |
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) |
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(/ (* a d) c) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(* -1 (/ a d)) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) 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 (+ a (* -1 (/ (* b c) d))))) |
(* -1 (* d (+ a (* -1 (/ (* b c) d))))) |
(* -1 (* d (+ a (* -1 (/ (* b c) 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) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b 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 (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 c) (/.f64 a (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 (*.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 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) |
(* -1 (/ (* a d) (pow c 2))) |
(*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) |
(* -1 (/ (* a d) c)) |
(*.f64 (/.f64 (neg.f64 a) c) d) |
(/ (- (* b c) (* a d)) c) |
(-.f64 b (/.f64 (*.f64 d a) c)) |
(/ (- (* b c) (* a d)) c) |
(-.f64 b (/.f64 (*.f64 d a) c)) |
(/ (- (* b c) (* a d)) c) |
(-.f64 b (/.f64 (*.f64 d a) c)) |
(/ (* a d) c) |
(/.f64 (*.f64 d a) c) |
(/ (* a d) c) |
(/.f64 (*.f64 d a) c) |
(/ (* a d) c) |
(/.f64 (*.f64 d a) c) |
(/ (* a d) c) |
(/.f64 (*.f64 d a) 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 c) (/.f64 a (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 (*.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 (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)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(fma.f64 (*.f64 c c) (/.f64 a (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 (*.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 (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)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(fma.f64 (*.f64 c c) (/.f64 a (pow.f64 d #s(literal 3 binary64))) (/.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 c) (/.f64 a (pow.f64 d #s(literal 3 binary64))) (/.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 c) (/.f64 a (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 (*.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 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) |
(* -1 (* a d)) |
(*.f64 (neg.f64 d) a) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 (neg.f64 d) a (*.f64 c b)) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 (neg.f64 d) a (*.f64 c b)) |
(+ (* -1 (* a d)) (* b c)) |
(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)) |
(fma.f64 c c (*.f64 d d)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (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 c) (/.f64 a (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 (*.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 (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 c 2) |
(*.f64 c c) |
(pow c 2) |
(*.f64 c c) |
(pow c 2) |
(*.f64 c c) |
(pow c 2) |
(*.f64 c c) |
(pow d 2) |
(*.f64 d d) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(/ b c) |
(/.f64 b c) |
(/ (+ 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 b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) |
b |
(+ b (* -1 (/ (* a d) c))) |
(-.f64 b (/.f64 (*.f64 d a) c)) |
(+ b (* -1 (/ (* a d) c))) |
(-.f64 b (/.f64 (*.f64 d a) c)) |
(+ b (* -1 (/ (* a d) c))) |
(-.f64 b (/.f64 (*.f64 d a) c)) |
(/ (* a d) c) |
(/.f64 (*.f64 d a) c) |
(/ (* a d) c) |
(/.f64 (*.f64 d a) c) |
(/ (* a d) c) |
(/.f64 (*.f64 d a) c) |
(/ (* a d) c) |
(/.f64 (*.f64 d a) c) |
(/ 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 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) |
(/ (* a (pow c 2)) (pow d 3)) |
(*.f64 (*.f64 c c) (/.f64 a (pow.f64 d #s(literal 3 binary64)))) |
(* (pow c 2) (+ (/ a (pow d 3)) (/ b (* c (pow d 2))))) |
(*.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 3 binary64))) a (/.f64 b (*.f64 d d))) c) |
(* (pow c 2) (+ (* -1 (/ a (* (pow c 2) d))) (+ (/ a (pow d 3)) (/ b (* c (pow d 2)))))) |
(*.f64 c (fma.f64 (-.f64 (/.f64 a (pow.f64 d #s(literal 3 binary64))) (/.f64 a (*.f64 (*.f64 c c) d))) c (/.f64 b (*.f64 d d)))) |
(* (pow c 2) (+ (* -1 (/ a (* (pow c 2) d))) (+ (/ a (pow d 3)) (/ b (* c (pow d 2)))))) |
(*.f64 c (fma.f64 (-.f64 (/.f64 a (pow.f64 d #s(literal 3 binary64))) (/.f64 a (*.f64 (*.f64 c c) d))) c (/.f64 b (*.f64 d 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) |
(/ 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)))) |
(*.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(*.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(*.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) |
(* 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)))) |
(*.f64 (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal 1 binary64)) (*.f64 c c)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal 1 binary64)) (*.f64 c c)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal 1 binary64)) (*.f64 c c)) |
(/ 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)))) |
(*.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(*.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) |
(* c (+ b (* -1 (/ (* a d) c)))) |
(*.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) |
(* 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) |
(*.f64 c c) |
(pow c 2) |
(*.f64 c c) |
(pow c 2) |
(*.f64 c c) |
(pow c 2) |
(*.f64 c c) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal 1 binary64)) (*.f64 c c)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal 1 binary64)) (*.f64 c c)) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal 1 binary64)) (*.f64 c c)) |
(/ b c) |
(/.f64 b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(/.f64 (-.f64 b (/.f64 (fma.f64 d a (/.f64 (*.f64 (*.f64 d d) b) c)) c)) c) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) |
(/.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 d a (/.f64 (fma.f64 (/.f64 (pow.f64 d #s(literal 3 binary64)) c) (neg.f64 a) (*.f64 (*.f64 d d) b)) c)) c) b)) c) |
(/ b c) |
(/.f64 b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) |
b |
(+ b (* -1 (/ (* a d) c))) |
(-.f64 b (/.f64 (*.f64 d a) c)) |
(+ b (* -1 (/ (* a d) c))) |
(-.f64 b (/.f64 (*.f64 d a) c)) |
(+ b (* -1 (/ (* a d) c))) |
(-.f64 b (/.f64 (*.f64 d a) c)) |
(/ (* a d) c) |
(/.f64 (*.f64 d a) c) |
(/ (* a d) c) |
(/.f64 (*.f64 d a) c) |
(/ (* a d) c) |
(/.f64 (*.f64 d a) c) |
(/ (* a d) c) |
(/.f64 (*.f64 d a) c) |
(/ b c) |
(/.f64 b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(/.f64 (-.f64 b (/.f64 (fma.f64 d a (/.f64 (*.f64 (*.f64 d d) b) c)) c)) c) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) |
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(fma.f64 (neg.f64 d) a (*.f64 c b)) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 (neg.f64 d) a (*.f64 c b)) |
(pow c 2) |
(*.f64 c c) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(/ b c) |
(/.f64 b c) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(/.f64 (-.f64 b (/.f64 (*.f64 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 d (pow.f64 c #s(literal 4 binary64))) a) (/.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 d) a (*.f64 c b)) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 (neg.f64 d) a (*.f64 c b)) |
(+ (* -1 (* a d)) (* b c)) |
(fma.f64 (neg.f64 d) a (*.f64 c b)) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(pow c 2) |
(*.f64 c c) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/.f64 (fma.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)) a (*.f64 (/.f64 c d) b)) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(/.f64 (fma.f64 (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) (pow c 2))) |
(*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)) |
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(*.f64 (-.f64 (/.f64 (/.f64 b d) c) (/.f64 a (*.f64 c c))) d) |
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(*.f64 (-.f64 (/.f64 (/.f64 b d) c) (/.f64 a (*.f64 c c))) d) |
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(*.f64 (-.f64 (/.f64 (/.f64 b d) c) (/.f64 a (*.f64 c c))) d) |
(* -1 (/ (* a d) c)) |
(*.f64 (/.f64 (neg.f64 a) c) d) |
(* d (- (/ b d) (/ a c))) |
(*.f64 (-.f64 (/.f64 b d) (/.f64 a c)) d) |
(* d (- (/ b d) (/ a c))) |
(*.f64 (-.f64 (/.f64 b d) (/.f64 a c)) d) |
(* d (- (/ b d) (/ a c))) |
(*.f64 (-.f64 (/.f64 b d) (/.f64 a c)) d) |
(/ (* a d) c) |
(/.f64 (*.f64 d a) c) |
(/ (* a d) c) |
(/.f64 (*.f64 d a) c) |
(/ (* a d) c) |
(/.f64 (*.f64 d a) c) |
(/ (* a d) c) |
(/.f64 (*.f64 d a) c) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/.f64 (fma.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)) a (*.f64 (/.f64 c d) b)) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(/.f64 (fma.f64 (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 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/.f64 (fma.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)) a (*.f64 (/.f64 c d) b)) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(/.f64 (fma.f64 (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 a) (/ (* b c) d)) d) |
(/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/.f64 (fma.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)) a (*.f64 (/.f64 c d) b)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/.f64 (fma.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)) a (*.f64 (/.f64 c d) b)) 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) (/ (* b c) d)) d) |
(/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/.f64 (fma.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)) a (*.f64 (/.f64 c d) b)) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(/.f64 (fma.f64 (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 d) a) |
(* d (+ (* -1 a) (/ (* b c) d))) |
(*.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) |
(* d (+ (* -1 a) (/ (* b c) d))) |
(*.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) |
(* d (+ (* -1 a) (/ (* b c) d))) |
(*.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) (/ (* b c) d)) d) |
(/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/.f64 (fma.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)) a (*.f64 (/.f64 c d) b)) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(/.f64 (fma.f64 (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 d) a) |
(* d (- (/ (* b c) d) a)) |
(*.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) |
(* d (- (/ (* b c) d) a)) |
(*.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) |
(* d (- (/ (* b c) d) a)) |
(*.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(pow d 2) |
(*.f64 d d) |
(* (pow 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 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 c b (/.f64 (*.f64 (*.f64 c c) a) d)) d) a) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 c b (/.f64 (fma.f64 (*.f64 c c) a (/.f64 (*.f64 (neg.f64 b) (pow.f64 c #s(literal 3 binary64))) d)) d)) d) a) d) |
(* -1 (/ (* a d) (pow c 2))) |
(*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(*.f64 (-.f64 (/.f64 (/.f64 b d) c) (/.f64 a (*.f64 c c))) d) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(*.f64 (-.f64 (/.f64 (/.f64 b d) c) (/.f64 a (*.f64 c c))) d) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(*.f64 (-.f64 (/.f64 (/.f64 b d) c) (/.f64 a (*.f64 c c))) d) |
(* -1 (/ (* a d) c)) |
(*.f64 (/.f64 (neg.f64 a) c) d) |
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) |
(*.f64 (-.f64 (/.f64 b d) (/.f64 a c)) d) |
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) |
(*.f64 (-.f64 (/.f64 b d) (/.f64 a c)) d) |
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) |
(*.f64 (-.f64 (/.f64 b d) (/.f64 a c)) d) |
(/ (* a d) c) |
(/.f64 (*.f64 d a) c) |
(/ (* a d) c) |
(/.f64 (*.f64 d a) c) |
(/ (* a d) c) |
(/.f64 (*.f64 d a) c) |
(/ (* a d) c) |
(/.f64 (*.f64 d a) c) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 c b (/.f64 (*.f64 (*.f64 c c) a) d)) d) a) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 c b (/.f64 (fma.f64 (*.f64 c c) a (/.f64 (*.f64 (neg.f64 b) (pow.f64 c #s(literal 3 binary64))) d)) d)) d) a) d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 c b (/.f64 (*.f64 (*.f64 c c) a) d)) d) a) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 c b (/.f64 (fma.f64 (*.f64 c c) a (/.f64 (*.f64 (neg.f64 b) (pow.f64 c #s(literal 3 binary64))) d)) d)) d) a) d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 c b (/.f64 (*.f64 (*.f64 c c) a) d)) 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) |
(/ (* 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 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 c b (/.f64 (*.f64 (*.f64 c c) a) d)) d) a) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 c b (/.f64 (fma.f64 (*.f64 c c) a (/.f64 (*.f64 (neg.f64 b) (pow.f64 c #s(literal 3 binary64))) d)) d)) d) a) d) |
(* -1 (* a d)) |
(*.f64 (neg.f64 d) a) |
(* -1 (* d (+ a (* -1 (/ (* b c) d))))) |
(*.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) |
(* -1 (* d (+ a (* -1 (/ (* b c) d))))) |
(*.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) |
(* -1 (* d (+ a (* -1 (/ (* b c) d))))) |
(*.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 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 c b (/.f64 (*.f64 (*.f64 c c) a) d)) d) a) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) |
(/.f64 (-.f64 (/.f64 (fma.f64 c b (/.f64 (fma.f64 (*.f64 c c) a (/.f64 (*.f64 (neg.f64 b) (pow.f64 c #s(literal 3 binary64))) d)) d)) d) a) d) |
(* -1 (* a d)) |
(*.f64 (neg.f64 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) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(* a d) |
(*.f64 d a) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(pow d 2) |
(*.f64 d d) |
(* (pow 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) |
| 5 452× | lower-/.f32 |
| 5 438× | lower-/.f64 |
| 4 962× | lower-*.f32 |
| 4 950× | lower-*.f64 |
| 4 546× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 237 |
| 0 | 62 | 230 |
| 1 | 258 | 230 |
| 2 | 2073 | 230 |
| 0 | 8932 | 228 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (/.f64 a c))) c)) |
(/.f64 (-.f64 b (*.f64 d (/.f64 a c))) c) |
(-.f64 b (*.f64 d (/.f64 a c))) |
(*.f64 d (/.f64 a c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
(/.f64 (neg.f64 a) d) |
(neg.f64 a) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d)))) |
#s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d))) |
(*.f64 (/.f64 c d) (/.f64 b d)) |
(/.f64 c d) |
(/.f64 #s(approx (+ (* (neg d) a) (* b c)) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) |
#s(approx (+ (* (neg d) a) (* b c)) (*.f64 c b)) |
(*.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))) |
(-.f64 (*.f64 b c) (*.f64 a d)) |
(*.f64 b c) |
(*.f64 a d) |
(/.f64 b d) |
(*.f64 c c) |
#s(approx (+ (* c c) (* d d)) (*.f64 c c)) |
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Compiled 21 667 to 2 221 computations (89.7% saved)
25 alts after pruning (21 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 305 | 10 | 1 315 |
| Fresh | 4 | 11 | 15 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 311 | 25 | 1 336 |
| Status | Accuracy | Program |
|---|---|---|
| 36.1% | (/.f64 (fma.f64 (neg.f64 d) a (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| 34.3% | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| 19.5% | (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| 29.2% | (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| 39.2% | (/.f64 #s(approx (+ (* (neg d) a) (* b c)) (*.f64 (neg.f64 d) a)) (fma.f64 d d (*.f64 c c))) | |
| 24.7% | (/.f64 #s(approx (+ (* (neg d) a) (* b c)) (*.f64 c b)) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) | |
| 46.6% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) d)) | |
| ▶ | 51.1% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) |
| ✓ | 54.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (/.f64 a c))) c)) |
| ✓ | 38.9% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
| 38.6% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) (*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)) a)) d)) | |
| 21.8% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (/.f64 (neg.f64 d) c) a)) c)) | |
| 45.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (-.f64 (/.f64 b d) (/.f64 a c)) d)) c)) | |
| ▶ | 22.1% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (* d (/ a c))) (*.f64 (/.f64 (neg.f64 a) c) d)) c)) |
| ✓ | 45.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
| ▶ | 44.9% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) |
| 45.3% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) | |
| 19.8% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 d (*.f64 c c))))) | |
| ▶ | 38.8% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)))) |
| 28.4% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (/.f64 (*.f64 (/.f64 b d) c) d))) | |
| ▶ | 29.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (/.f64 (*.f64 c #s(literal 1 binary64)) (*.f64 d (/.f64 d b))))) |
| ✓ | 28.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d)))) |
| 27.9% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (*.f64 (/.f64 c d) (*.f64 (/.f64 #s(literal -1 binary64) d) (/.f64 b #s(literal -1 binary64)))))) | |
| 26.3% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (*.f64 c (/.f64 b (*.f64 d d))))) | |
| 25.2% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (*.f64 b (/.f64 c (*.f64 d d))))) |
Compiled 490 to 453 computations (7.6% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (*.f64 c #s(literal 1 binary64)) (*.f64 d (/.f64 d b))) | |
| cost-diff | 0 | #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (/.f64 (*.f64 c #s(literal 1 binary64)) (*.f64 d (/.f64 d b)))) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (/.f64 (*.f64 c #s(literal 1 binary64)) (*.f64 d (/.f64 d b))))) | |
| cost-diff | 320 | (*.f64 c #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (/.f64 (neg.f64 a) c) d) | |
| cost-diff | 0 | #s(approx (- b (* d (/ a c))) (*.f64 (/.f64 (neg.f64 a) c) d)) | |
| cost-diff | 0 | (/.f64 #s(approx (- b (* d (/ a c))) (*.f64 (/.f64 (neg.f64 a) c) d)) c) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (* d (/ a c))) (*.f64 (/.f64 (neg.f64 a) c) d)) c)) | |
| cost-diff | 0 | (/.f64 c b) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 c b)) | |
| cost-diff | 0 | #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)) | |
| cost-diff | 0 | (neg.f64 a) | |
| cost-diff | 0 | (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d))) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)))) | |
| cost-diff | 0 | (/.f64 c d) | |
| cost-diff | 0 | (fma.f64 (/.f64 c d) b (neg.f64 a)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) | |
| cost-diff | 0 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) |
| 6 400× | lower-fma.f32 |
| 6 398× | lower-fma.f64 |
| 2 472× | lower-*.f32 |
| 2 464× | lower-*.f64 |
| 1 436× | sub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 322 |
| 0 | 62 | 314 |
| 1 | 117 | 314 |
| 2 | 260 | 306 |
| 3 | 504 | 306 |
| 4 | 892 | 306 |
| 5 | 1556 | 306 |
| 6 | 2473 | 306 |
| 7 | 3803 | 306 |
| 8 | 5052 | 306 |
| 9 | 5885 | 306 |
| 10 | 6368 | 306 |
| 11 | 6389 | 306 |
| 12 | 6396 | 306 |
| 13 | 6458 | 306 |
| 14 | 6829 | 306 |
| 15 | 7530 | 306 |
| 0 | 8002 | 296 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) |
(/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) |
(fma.f64 (/.f64 c d) b (neg.f64 a)) |
(/.f64 c d) |
c |
d |
b |
(neg.f64 a) |
a |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)))) |
(*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d))) |
(neg.f64 a) |
a |
#s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)) |
(/.f64 #s(literal 1 binary64) d) |
#s(literal 1 binary64) |
d |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) |
(/.f64 #s(literal 1 binary64) (/.f64 c b)) |
#s(literal 1 binary64) |
(/.f64 c b) |
c |
b |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (* d (/ a c))) (*.f64 (/.f64 (neg.f64 a) c) d)) c)) |
(/.f64 #s(approx (- b (* d (/ a c))) (*.f64 (/.f64 (neg.f64 a) c) d)) c) |
#s(approx (- b (* d (/ a c))) (*.f64 (/.f64 (neg.f64 a) c) d)) |
(*.f64 (/.f64 (neg.f64 a) c) d) |
(/.f64 (neg.f64 a) c) |
(neg.f64 a) |
a |
c |
d |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (/.f64 (*.f64 c #s(literal 1 binary64)) (*.f64 d (/.f64 d b))))) |
#s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (/.f64 (*.f64 c #s(literal 1 binary64)) (*.f64 d (/.f64 d b)))) |
(/.f64 (*.f64 c #s(literal 1 binary64)) (*.f64 d (/.f64 d b))) |
(*.f64 c #s(literal 1 binary64)) |
c |
#s(literal 1 binary64) |
(*.f64 d (/.f64 d b)) |
d |
(/.f64 d b) |
b |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) |
(/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) |
(fma.f64 (/.f64 c d) b (neg.f64 a)) |
(/.f64 c d) |
c |
d |
b |
(neg.f64 a) |
a |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)) (neg.f64 a))) |
(*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d))) |
(*.f64 #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)) (neg.f64 a)) |
(neg.f64 a) |
a |
#s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)) |
(/.f64 #s(literal 1 binary64) d) |
#s(literal 1 binary64) |
d |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
(/.f64 #s(literal 1 binary64) (/.f64 c b)) |
(/.f64 b c) |
#s(literal 1 binary64) |
(/.f64 c b) |
c |
b |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (* d (/ a c))) (*.f64 (/.f64 (neg.f64 a) c) d)) c)) |
(/.f64 #s(approx (- b (* d (/ a c))) (*.f64 (/.f64 (neg.f64 a) c) d)) c) |
#s(approx (- b (* d (/ a c))) (*.f64 (/.f64 (neg.f64 a) c) d)) |
(*.f64 (/.f64 (neg.f64 a) c) d) |
(/.f64 (neg.f64 a) c) |
(neg.f64 a) |
a |
c |
d |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (/.f64 (*.f64 c #s(literal 1 binary64)) (*.f64 d (/.f64 d b))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (/.f64 c (*.f64 (/.f64 d b) d)))) |
#s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (/.f64 (*.f64 c #s(literal 1 binary64)) (*.f64 d (/.f64 d b)))) |
#s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (/.f64 c (*.f64 (/.f64 d b) d))) |
(/.f64 (*.f64 c #s(literal 1 binary64)) (*.f64 d (/.f64 d b))) |
(/.f64 c (*.f64 (/.f64 d b) d)) |
(*.f64 c #s(literal 1 binary64)) |
c |
c |
#s(literal 1 binary64) |
(*.f64 d (/.f64 d b)) |
(*.f64 (/.f64 d b) d) |
d |
(/.f64 d b) |
b |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.13671875 | (*.f64 d (/.f64 d b)) | |
| accuracy | 5.592197324217883 | (/.f64 (*.f64 c #s(literal 1 binary64)) (*.f64 d (/.f64 d b))) | |
| accuracy | 31.529817426961518 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (/.f64 (*.f64 c #s(literal 1 binary64)) (*.f64 d (/.f64 d b))))) | |
| accuracy | 34.77670350363807 | #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (/.f64 (*.f64 c #s(literal 1 binary64)) (*.f64 d (/.f64 d b)))) | |
| accuracy | 0.5287242650957098 | (/.f64 #s(approx (- b (* d (/ a c))) (*.f64 (/.f64 (neg.f64 a) c) d)) c) | |
| accuracy | 4.2865443134996015 | (*.f64 (/.f64 (neg.f64 a) c) d) | |
| accuracy | 28.70188272934807 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (* d (/ a c))) (*.f64 (/.f64 (neg.f64 a) c) d)) c)) | |
| accuracy | 33.893053773193344 | #s(approx (- b (* d (/ a c))) (*.f64 (/.f64 (neg.f64 a) c) d)) | |
| accuracy | 0 | (/.f64 c b) | |
| accuracy | 0.3476588466005257 | (/.f64 #s(literal 1 binary64) (/.f64 c b)) | |
| accuracy | 35.19388106508903 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) | |
| accuracy | 0 | (neg.f64 a) | |
| accuracy | 2.4278913816593626 | (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d))) | |
| accuracy | 27.916435423724945 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)))) | |
| accuracy | 33.044869387341954 | #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)) | |
| accuracy | 0 | (neg.f64 a) | |
| accuracy | 0.5296412713216979 | (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) | |
| accuracy | 3.72315952442387 | (fma.f64 (/.f64 c d) b (neg.f64 a)) | |
| accuracy | 30.97642078664023 | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) |
| 119.0ms | 256× | 0 | valid |
Compiled 216 to 41 computations (81% saved)
ival-mult: 41.0ms (40.6% of total)ival-div: 26.0ms (25.7% of total)ival-add: 17.0ms (16.8% of total)ival-sub: 15.0ms (14.8% of total)ival-neg: 1.0ms (1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) (patch (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 c d) b (neg.f64 a)) (patch (fma.f64 (/.f64 c d) b (neg.f64 a)) #<representation binary64>) () ()) |
#s(alt (/.f64 c d) (patch (/.f64 c d) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d))) (patch (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d))) #<representation binary64>) () ()) |
#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ()) |
#s(alt #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)) (patch #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 c b)) (patch (/.f64 #s(literal 1 binary64) (/.f64 c b)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) #<representation binary64>) () ()) |
#s(alt (/.f64 c b) (patch (/.f64 c b) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (* d (/ a c))) (*.f64 (/.f64 (neg.f64 a) c) d)) c)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (* d (/ a c))) (*.f64 (/.f64 (neg.f64 a) c) d)) c)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (- b (* d (/ a c))) (*.f64 (/.f64 (neg.f64 a) c) d)) c) (patch (/.f64 #s(approx (- b (* d (/ a c))) (*.f64 (/.f64 (neg.f64 a) c) d)) c) #<representation binary64>) () ()) |
#s(alt #s(approx (- b (* d (/ a c))) (*.f64 (/.f64 (neg.f64 a) c) d)) (patch #s(approx (- b (* d (/ a c))) (*.f64 (/.f64 (neg.f64 a) c) d)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (neg.f64 a) c) d) (patch (*.f64 (/.f64 (neg.f64 a) c) d) #<representation binary64>) () ()) |
#s(alt (*.f64 c #s(literal 1 binary64)) (patch (*.f64 c #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (/.f64 (*.f64 c #s(literal 1 binary64)) (*.f64 d (/.f64 d b))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (/.f64 (*.f64 c #s(literal 1 binary64)) (*.f64 d (/.f64 d b))))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (/.f64 (*.f64 c #s(literal 1 binary64)) (*.f64 d (/.f64 d b)))) (patch #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (/.f64 (*.f64 c #s(literal 1 binary64)) (*.f64 d (/.f64 d b)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 c #s(literal 1 binary64)) (*.f64 d (/.f64 d b))) (patch (/.f64 (*.f64 c #s(literal 1 binary64)) (*.f64 d (/.f64 d b))) #<representation binary64>) () ()) |
#s(alt (*.f64 d (/.f64 d b)) (patch (*.f64 d (/.f64 d b)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) (patch (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) (patch (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) (patch (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) (patch (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 a) (taylor 0 c) (#s(alt (fma.f64 (/.f64 c d) b (neg.f64 a)) (patch (fma.f64 (/.f64 c d) b (neg.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ (* b c) d) a) (taylor 0 c) (#s(alt (fma.f64 (/.f64 c d) b (neg.f64 a)) (patch (fma.f64 (/.f64 c d) b (neg.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ (* b c) d) a) (taylor 0 c) (#s(alt (fma.f64 (/.f64 c d) b (neg.f64 a)) (patch (fma.f64 (/.f64 c d) b (neg.f64 a)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ (* b c) d) a) (taylor 0 c) (#s(alt (fma.f64 (/.f64 c d) b (neg.f64 a)) (patch (fma.f64 (/.f64 c d) b (neg.f64 a)) #<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 #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d))) (patch (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (/ (* a (pow c 2)) (pow d 3))) (taylor 0 c) (#s(alt (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d))) (patch (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* (pow c 2) (+ (* -1 (/ (* a (pow c 2)) (pow d 5))) (/ a (pow d 3))))) (taylor 0 c) (#s(alt (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d))) (patch (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ a d)) (* (pow c 2) (+ (* (pow c 2) (+ (* -1 (/ a (pow d 5))) (/ (* a (pow c 2)) (pow d 7)))) (/ a (pow d 3))))) (taylor 0 c) (#s(alt (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d))) (patch (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 d) (taylor 0 c) (#s(alt #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)) (patch #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d)) (taylor 0 c) (#s(alt #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)) (patch #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow c 2) (- (/ (pow c 2) (pow d 5)) (/ 1 (pow d 3)))) (/ 1 d)) (taylor 0 c) (#s(alt #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)) (patch #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 7))) (/ 1 (pow d 5)))) (/ 1 (pow d 3)))) (/ 1 d)) (taylor 0 c) (#s(alt #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)) (patch #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 c b)) (patch (/.f64 #s(literal 1 binary64) (/.f64 c b)) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 c b)) (patch (/.f64 #s(literal 1 binary64) (/.f64 c b)) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 c b)) (patch (/.f64 #s(literal 1 binary64) (/.f64 c b)) #<representation binary64>) () ())) ()) |
#s(alt (/ b c) (taylor 0 c) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 c b)) (patch (/.f64 #s(literal 1 binary64) (/.f64 c b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor 0 c) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ (* a d) c)) (taylor -inf d) (#s(alt (*.f64 (/.f64 (neg.f64 a) c) d) (patch (*.f64 (/.f64 (neg.f64 a) c) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* a d) c)) (taylor -inf d) (#s(alt (*.f64 (/.f64 (neg.f64 a) c) d) (patch (*.f64 (/.f64 (neg.f64 a) c) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (/.f64 (*.f64 c #s(literal 1 binary64)) (*.f64 d (/.f64 d b))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (/.f64 (*.f64 c #s(literal 1 binary64)) (*.f64 d (/.f64 d b))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (/.f64 (*.f64 c #s(literal 1 binary64)) (*.f64 d (/.f64 d b))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (/.f64 (*.f64 c #s(literal 1 binary64)) (*.f64 d (/.f64 d b))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (/.f64 (*.f64 c #s(literal 1 binary64)) (*.f64 d (/.f64 d b))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (/.f64 (*.f64 c #s(literal 1 binary64)) (*.f64 d (/.f64 d b))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow c 3)) d) (* a (pow c 2))) d)) (* b c)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (/.f64 (*.f64 c #s(literal 1 binary64)) (*.f64 d (/.f64 d b))))) (patch #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (/.f64 (*.f64 c #s(literal 1 binary64)) (*.f64 d (/.f64 d b))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ a d)) (taylor -inf d) (#s(alt #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (/.f64 (*.f64 c #s(literal 1 binary64)) (*.f64 d (/.f64 d b)))) (patch #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (/.f64 (*.f64 c #s(literal 1 binary64)) (*.f64 d (/.f64 d b)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (/.f64 (*.f64 c #s(literal 1 binary64)) (*.f64 d (/.f64 d b)))) (patch #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (/.f64 (*.f64 c #s(literal 1 binary64)) (*.f64 d (/.f64 d b)))) #<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 c) c) d)) d) a) d) (/.f64 (*.f64 c #s(literal 1 binary64)) (*.f64 d (/.f64 d b)))) (patch #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (/.f64 (*.f64 c #s(literal 1 binary64)) (*.f64 d (/.f64 d b)))) #<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 c) c) d)) d) a) d) (/.f64 (*.f64 c #s(literal 1 binary64)) (*.f64 d (/.f64 d b)))) (patch #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (/.f64 (*.f64 c #s(literal 1 binary64)) (*.f64 d (/.f64 d b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) (pow d 2)) (taylor -inf d) (#s(alt (/.f64 (*.f64 c #s(literal 1 binary64)) (*.f64 d (/.f64 d b))) (patch (/.f64 (*.f64 c #s(literal 1 binary64)) (*.f64 d (/.f64 d b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) (pow d 2)) (taylor -inf d) (#s(alt (/.f64 (*.f64 c #s(literal 1 binary64)) (*.f64 d (/.f64 d b))) (patch (/.f64 (*.f64 c #s(literal 1 binary64)) (*.f64 d (/.f64 d b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) (pow d 2)) (taylor -inf d) (#s(alt (/.f64 (*.f64 c #s(literal 1 binary64)) (*.f64 d (/.f64 d b))) (patch (/.f64 (*.f64 c #s(literal 1 binary64)) (*.f64 d (/.f64 d b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b c) (pow d 2)) (taylor -inf d) (#s(alt (/.f64 (*.f64 c #s(literal 1 binary64)) (*.f64 d (/.f64 d b))) (patch (/.f64 (*.f64 c #s(literal 1 binary64)) (*.f64 d (/.f64 d b))) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow d 2) b) (taylor -inf d) (#s(alt (*.f64 d (/.f64 d b)) (patch (*.f64 d (/.f64 d b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow d 2) b) (taylor -inf d) (#s(alt (*.f64 d (/.f64 d b)) (patch (*.f64 d (/.f64 d b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow d 2) b) (taylor -inf d) (#s(alt (*.f64 d (/.f64 d b)) (patch (*.f64 d (/.f64 d b)) #<representation binary64>) () ())) ()) |
#s(alt (/ (pow d 2) b) (taylor -inf d) (#s(alt (*.f64 d (/.f64 d b)) (patch (*.f64 d (/.f64 d b)) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 16.0ms | d | @ | -inf | ((/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) b) (neg a)) d) (+ (* (/ c d) b) (neg a)) (/ c d) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (neg a) (/ d (+ (* c c) (* d d)))) (neg a) (/ d (+ (* c c) (* d d))) (/ 1 (/ c b)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ c b) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- b (* d (/ a c))) c) (- b (* d (/ a c))) (* (/ (neg a) c) d) (* c 1) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (/ (* c 1) (* d (/ d b))) (* d (/ d b))) |
| 7.0ms | c | @ | 0 | ((/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) b) (neg a)) d) (+ (* (/ c d) b) (neg a)) (/ c d) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (neg a) (/ d (+ (* c c) (* d d)))) (neg a) (/ d (+ (* c c) (* d d))) (/ 1 (/ c b)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ c b) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- b (* d (/ a c))) c) (- b (* d (/ a c))) (* (/ (neg a) c) d) (* c 1) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (/ (* c 1) (* d (/ d b))) (* d (/ d b))) |
| 3.0ms | c | @ | -inf | ((/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) b) (neg a)) d) (+ (* (/ c d) b) (neg a)) (/ c d) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (neg a) (/ d (+ (* c c) (* d d)))) (neg a) (/ d (+ (* c c) (* d d))) (/ 1 (/ c b)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ c b) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- b (* d (/ a c))) c) (- b (* d (/ a c))) (* (/ (neg a) c) d) (* c 1) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (/ (* c 1) (* d (/ d b))) (* d (/ d b))) |
| 3.0ms | b | @ | -inf | ((/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) b) (neg a)) d) (+ (* (/ c d) b) (neg a)) (/ c d) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (neg a) (/ d (+ (* c c) (* d d)))) (neg a) (/ d (+ (* c c) (* d d))) (/ 1 (/ c b)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ c b) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- b (* d (/ a c))) c) (- b (* d (/ a c))) (* (/ (neg a) c) d) (* c 1) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (/ (* c 1) (* d (/ d b))) (* d (/ d b))) |
| 3.0ms | a | @ | inf | ((/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) b) (neg a)) d) (+ (* (/ c d) b) (neg a)) (/ c d) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (* (neg a) (/ d (+ (* c c) (* d d)))) (neg a) (/ d (+ (* c c) (* d d))) (/ 1 (/ c b)) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ c b) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- b (* d (/ a c))) c) (- b (* d (/ a c))) (* (/ (neg a) c) d) (* c 1) (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (/ (* c 1) (* d (/ d b))) (* d (/ d b))) |
| 1× | egg-herbie |
| 10 372× | lower-fma.f64 |
| 10 372× | lower-fma.f32 |
| 5 222× | lower-*.f64 |
| 5 222× | lower-*.f32 |
| 2 750× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 476 | 9132 |
| 1 | 1504 | 8745 |
| 2 | 4757 | 8553 |
| 0 | 8321 | 8183 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(* -1 a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(/ 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)) |
(+ (* -1 (/ a d)) (/ (* a (pow c 2)) (pow d 3))) |
(+ (* -1 (/ a d)) (* (pow c 2) (+ (* -1 (/ (* a (pow c 2)) (pow d 5))) (/ a (pow d 3))))) |
(+ (* -1 (/ a d)) (* (pow c 2) (+ (* (pow c 2) (+ (* -1 (/ a (pow d 5))) (/ (* a (pow c 2)) (pow d 7)))) (/ a (pow d 3))))) |
(/ 1 d) |
(+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d)) |
(+ (* (pow c 2) (- (/ (pow c 2) (pow d 5)) (/ 1 (pow d 3)))) (/ 1 d)) |
(+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 7))) (/ 1 (pow d 5)))) (/ 1 (pow d 3)))) (/ 1 d)) |
(/ 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))))) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(* -1 (/ (* a d) (pow c 2))) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(* -1 (/ (* a d) c)) |
(/ (- (* b c) (* a d)) c) |
(/ (- (* b c) (* a d)) c) |
(/ (- (* b c) (* a d)) c) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
c |
c |
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)) |
(+ (* -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 (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(/ (* b c) (pow d 2)) |
(/ (* b c) (pow d 2)) |
(/ (* b c) (pow d 2)) |
(/ (* b c) (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) (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))) |
(/ 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) |
(* -1 (/ (* a d) (pow c 2))) |
(/ (+ (* -1 (* a d)) (/ (* a (pow d 3)) (pow c 2))) (pow c 2)) |
(/ (+ (* -1 (* a d)) (+ (* -1 (/ (* a (pow d 5)) (pow c 4))) (/ (* a (pow d 3)) (pow c 2)))) (pow c 2)) |
(/ (+ (* -1 (* a d)) (+ (* -1 (/ (* a (pow d 5)) (pow c 4))) (+ (/ (* a (pow d 3)) (pow c 2)) (/ (* a (pow d 7)) (pow c 6))))) (pow c 2)) |
(/ d (pow c 2)) |
(/ (+ d (* -1 (/ (pow d 3) (pow c 2)))) (pow c 2)) |
(/ (- (+ d (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2))) (pow c 2)) |
(/ (- (+ d (* -1 (/ (pow d 7) (pow c 6)))) (+ (* -1 (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2)))) (pow c 2)) |
(/ 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) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (+ (* -1 (/ (* a d) c)) (* -1 (/ (* b (pow d 2)) (pow c 2))))) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(/ b c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
(/ (+ b (* -1 (/ (* a d) c))) c) |
b |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
c |
c |
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) |
(/ (* a (pow c 2)) (pow d 3)) |
(* (pow c 2) (+ (/ a (pow d 3)) (/ b (* c (pow d 2))))) |
(* (pow c 2) (+ (* -1 (/ a (* (pow c 2) d))) (+ (/ a (pow d 3)) (/ b (* c (pow d 2)))))) |
(* (pow c 2) (+ (* -1 (/ a (* (pow c 2) d))) (+ (/ a (pow d 3)) (/ 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)) |
(/ 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)))) |
(/ 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)) |
(* -1 (/ (* a d) (pow c 2))) |
(/ (+ (* -1 (* a d)) (/ (* a (pow d 3)) (pow c 2))) (pow c 2)) |
(/ (+ (* -1 (* a d)) (+ (* -1 (/ (* a (pow d 5)) (pow c 4))) (/ (* a (pow d 3)) (pow c 2)))) (pow c 2)) |
(/ (+ (* -1 (* a d)) (+ (* -1 (/ (* a (pow d 5)) (pow c 4))) (+ (/ (* a (pow d 3)) (pow c 2)) (/ (* a (pow d 7)) (pow c 6))))) (pow c 2)) |
(/ d (pow c 2)) |
(/ (+ d (* -1 (/ (pow d 3) (pow c 2)))) (pow c 2)) |
(/ (- (+ d (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2))) (pow c 2)) |
(/ (- (+ d (* -1 (/ (pow d 7) (pow c 6)))) (+ (* -1 (/ (pow d 5) (pow c 4))) (/ (pow d 3) (pow c 2)))) (pow c 2)) |
(/ 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)) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (* b (pow d 2)) c))) c))) c)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (* a d)) (* -1 (/ (- (* -1 (/ (* a (pow d 3)) c)) (* -1 (* b (pow d 2)))) c))) c))) c)) |
(/ b c) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
(* -1 (/ (+ (* -1 b) (/ (* a d) c)) c)) |
b |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
c |
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)) |
(/ (* a (pow c 2)) (pow d 3)) |
(* (pow c 2) (+ (/ a (pow d 3)) (/ b (* c (pow d 2))))) |
(* (pow c 2) (+ (* -1 (/ (+ (* -1 (/ b (pow d 2))) (/ a (* c d))) c)) (/ a (pow d 3)))) |
(* (pow c 2) (+ (* -1 (/ (+ (* -1 (/ b (pow d 2))) (/ a (* c d))) c)) (/ a (pow d 3)))) |
(/ (* 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)))) |
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(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ a d)) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(* -1 a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(- (/ (* b c) d) a) |
(* -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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(/ 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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(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (pow c 2))) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(* -1 (/ (* a d) c)) |
(- b (/ (* a d) c)) |
(- b (/ (* a d) c)) |
(- b (/ (* a d) c)) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
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(+ (* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) (/ (* b c) (+ (pow c 2) (pow d 2)))) |
(/ (- (/ (* a (pow c 2)) (pow d 2)) a) d) |
(- (+ (/ (* a (pow c 2)) (pow d 3)) (/ (* b c) (pow d 2))) (/ a d)) |
(- (+ (/ (* a (pow c 2)) (pow d 3)) (/ (* b c) (pow d 2))) (/ a d)) |
(- (+ (/ (* a (pow c 2)) (pow d 3)) (/ (* b c) (pow d 2))) (/ a d)) |
(/ (* b c) (pow d 2)) |
(/ (* b c) (pow d 2)) |
(/ (* b c) (pow d 2)) |
(/ (* b c) (pow d 2)) |
(/ (pow d 2) b) |
(/ (pow d 2) b) |
(/ (pow d 2) b) |
(/ (pow d 2) b) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(/ (* b c) (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) (+ (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))))) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(* b (+ (* -1 (/ (* a d) (* b (+ (pow c 2) (pow d 2))))) (/ c (+ (pow c 2) (pow d 2))))) |
(/ b c) |
(* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c))) |
(* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c))) |
(* b (+ (* -1 (/ (* a d) (* b (pow c 2)))) (/ 1 c))) |
b |
(* 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) (pow d 2)) |
(* b (- (+ (/ c (pow d 2)) (/ (* a (pow c 2)) (* b (pow d 3)))) (/ a (* b d)))) |
(* b (- (+ (/ c (pow d 2)) (/ (* a (pow c 2)) (* b (pow d 3)))) (/ a (* b d)))) |
(* b (- (+ (/ c (pow d 2)) (/ (* a (pow c 2)) (* b (pow d 3)))) (/ a (* b d)))) |
(/ (* b c) (pow d 2)) |
(/ (* b c) (pow d 2)) |
(/ (* b c) (pow d 2)) |
(/ (* b c) (pow d 2)) |
(/ (pow d 2) b) |
(/ (pow d 2) b) |
(/ (pow d 2) b) |
(/ (pow d 2) b) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(/ (* b c) (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) (+ (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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(/ 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))))))) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
(* -1 (* b (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (/ (* a d) (* b (+ (pow c 2) (pow d 2))))))) |
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(/ 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) (pow d 2)) |
(* -1 (* b (+ (* -1 (/ c (pow d 2))) (* -1 (/ (- (/ (* a (pow c 2)) (pow d 3)) (/ a d)) b))))) |
(* -1 (* b (+ (* -1 (/ c (pow d 2))) (* -1 (/ (- (/ (* a (pow c 2)) (pow d 3)) (/ a d)) b))))) |
(* -1 (* b (+ (* -1 (/ c (pow d 2))) (* -1 (/ (- (/ (* a (pow c 2)) (pow d 3)) (/ a d)) b))))) |
(/ (* b c) (pow d 2)) |
(/ (* b c) (pow d 2)) |
(/ (* b c) (pow d 2)) |
(/ (* b c) (pow d 2)) |
(/ (pow d 2) b) |
(/ (pow d 2) b) |
(/ (pow d 2) b) |
(/ (pow d 2) b) |
(/ (* b 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)) |
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(/ (* b c) d) |
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(+ (* -1 a) (/ (* b c) d)) |
(/ (* b c) (+ (pow c 2) (pow d 2))) |
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(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
b |
(+ b (* -1 (/ (* a d) c))) |
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(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
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(* -1 (/ (* a d) c)) |
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(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ a d)) |
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(* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d))) |
(* a (- (/ (* b c) (* a (pow d 2))) (/ 1 d))) |
(* -1 a) |
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(* 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)))))) |
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(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
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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)))))) |
(* -1 (/ (* a d) (pow c 2))) |
(* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c)))) |
(* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c)))) |
(* a (+ (* -1 (/ d (pow c 2))) (/ b (* a c)))) |
(* -1 (/ (* a d) c)) |
(* a (- (/ b a) (/ d c))) |
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(* a (- (/ b a) (/ d c))) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (/ (* b c) (* a (+ (pow c 2) (pow d 2)))))) |
(/ (* a (- (/ (pow c 2) (pow d 2)) 1)) d) |
(* a (- (+ (/ (* b c) (* a (pow d 2))) (/ (pow c 2) (pow d 3))) (/ 1 d))) |
(* a (- (+ (/ (* b c) (* a (pow d 2))) (/ (pow c 2) (pow d 3))) (/ 1 d))) |
(* a (- (+ (/ (* b c) (* a (pow d 2))) (/ (pow c 2) (pow d 3))) (/ 1 d))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
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(* -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)))))) |
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(* -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) |
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(* -1 (* a (+ 1 (* -1 (/ (* b c) (* a d)))))) |
(* -1 (* a (+ 1 (* -1 (/ (* b c) (* a d)))))) |
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(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -1 (/ (* a d) (+ (pow c 2) (pow d 2)))) |
(* -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) (+ (pow c 2) (pow d 2)))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (+ (pow c 2) (pow d 2))))) (/ d (+ (pow c 2) (pow d 2)))))) |
(* -1 (/ (* a d) (pow c 2))) |
(* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2))))) |
(* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2))))) |
(* -1 (* a (+ (* -1 (/ b (* a c))) (/ d (pow c 2))))) |
(* -1 (/ (* a d) c)) |
(* -1 (* a (- (* -1 (/ b a)) (* -1 (/ d c))))) |
(* -1 (* a (- (* -1 (/ b a)) (* -1 (/ d c))))) |
(* -1 (* a (- (* -1 (/ b a)) (* -1 (/ d c))))) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -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 (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) d)) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d))))) |
(* -1 (* a (+ (* -1 (/ (* b c) (* a (pow d 2)))) (+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 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) (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) |
(/ 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)) |
(* -1 (/ (* a d) (pow c 2))) |
(* d (+ (* -1 (/ a (pow c 2))) (/ (* a (pow d 2)) (pow c 4)))) |
(* d (+ (* -1 (/ a (pow c 2))) (* (pow d 2) (+ (* -1 (/ (* a (pow d 2)) (pow c 6))) (/ a (pow c 4)))))) |
(* d (+ (* -1 (/ a (pow c 2))) (* (pow d 2) (+ (* (pow d 2) (+ (* -1 (/ a (pow c 6))) (/ (* a (pow d 2)) (pow c 8)))) (/ a (pow c 4)))))) |
(/ d (pow c 2)) |
(* d (+ (* -1 (/ (pow d 2) (pow c 4))) (/ 1 (pow c 2)))) |
(* d (+ (* (pow d 2) (- (/ (pow d 2) (pow c 6)) (/ 1 (pow c 4)))) (/ 1 (pow c 2)))) |
(* d (+ (* (pow d 2) (- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 8))) (/ 1 (pow c 6)))) (/ 1 (pow c 4)))) (/ 1 (pow c 2)))) |
(/ 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)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
(+ (* -1 (/ (* a d) (pow c 2))) (/ b c)) |
b |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(+ b (* -1 (/ (* a d) c))) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(/ 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)) |
(/ (* a (pow c 2)) (pow d 3)) |
(/ (+ (* a (pow c 2)) (* b (* c d))) (pow d 3)) |
(/ (+ (* a (pow c 2)) (* d (+ (* -1 (* a d)) (* b c)))) (pow d 3)) |
(/ (+ (* a (pow c 2)) (* d (+ (* -1 (* a d)) (* b c)))) (pow d 3)) |
(/ (* b c) (pow d 2)) |
(/ (* b c) (pow d 2)) |
(/ (* b c) (pow d 2)) |
(/ (* b c) (pow d 2)) |
(/ (pow d 2) b) |
(/ (pow d 2) b) |
(/ (pow d 2) b) |
(/ (pow d 2) b) |
(* -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) |
(/ 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)) |
(/ (+ (* -1 a) (/ (* a (pow c 2)) (pow d 2))) d) |
(/ (+ (* -1 a) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2)))) d) |
(/ (+ (* -1 a) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* a (pow c 6)) (pow d 6))))) d) |
(/ 1 d) |
(/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) d) |
(/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) d) |
(/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) d) |
(* -1 (/ 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) (pow c 2))) |
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(* -1 (/ (* a d) c)) |
(* d (- (/ b d) (/ a c))) |
(* d (- (/ b d) (/ a c))) |
(* d (- (/ b d) (/ a c))) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ a d)) |
(/ (+ (* -1 a) (/ (* 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) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/ (* b c) (pow d 2)) |
(/ (* b c) (pow d 2)) |
(/ (* b c) (pow d 2)) |
(/ (* b c) (pow d 2)) |
(/ (pow d 2) b) |
(/ (pow d 2) b) |
(/ (pow d 2) b) |
(/ (pow d 2) b) |
(* -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) |
(/ 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 (/ (+ a (* -1 (/ (* a (pow c 2)) (pow d 2)))) d)) |
(* -1 (/ (- (+ a (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2))) d)) |
(* -1 (/ (- (+ a (* -1 (/ (* a (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2)))) d)) |
(/ 1 d) |
(* -1 (/ (- (/ (pow c 2) (pow d 2)) 1) d)) |
(* -1 (/ (- (* -1 (/ (pow c 4) (pow d 4))) (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) d)) |
(* -1 (/ (- (/ (pow c 6) (pow d 6)) (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (pow c 4) (pow d 4))))) d)) |
(* -1 (/ 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) (pow c 2))) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(* -1 (/ (* a d) c)) |
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) |
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) |
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -1 (/ (* a d) c)) |
(* -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 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(/ (* b c) (pow d 2)) |
(/ (* b c) (pow d 2)) |
(/ (* b c) (pow d 2)) |
(/ (* b c) (pow d 2)) |
(/ (pow d 2) b) |
(/ (pow d 2) b) |
(/ (pow d 2) b) |
(/ (pow d 2) b) |
| Outputs |
|---|
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(fma.f64 (*.f64 (/.f64 a (pow.f64 d #s(literal 3 binary64))) c) c (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(fma.f64 (*.f64 c c) (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) (neg.f64 b) (/.f64 a (pow.f64 d #s(literal 3 binary64)))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) |
(* -1 a) |
(neg.f64 a) |
(- (/ (* b c) d) a) |
(fma.f64 (/.f64 b d) c (neg.f64 a)) |
(- (/ (* b c) d) a) |
(fma.f64 (/.f64 b d) c (neg.f64 a)) |
(- (/ (* b c) d) a) |
(fma.f64 (/.f64 b d) c (neg.f64 a)) |
(/ 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 b d) c (neg.f64 a)) d) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(fma.f64 (*.f64 (/.f64 a (pow.f64 d #s(literal 3 binary64))) c) c (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(fma.f64 (*.f64 c c) (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) (neg.f64 b) (/.f64 a (pow.f64 d #s(literal 3 binary64)))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(+ (* -1 (/ a d)) (/ (* a (pow c 2)) (pow d 3))) |
(*.f64 (/.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)) d) a) |
(+ (* -1 (/ a d)) (* (pow c 2) (+ (* -1 (/ (* a (pow c 2)) (pow d 5))) (/ a (pow d 3))))) |
(fma.f64 (fma.f64 (*.f64 (neg.f64 c) c) (/.f64 a (pow.f64 d #s(literal 5 binary64))) (/.f64 a (pow.f64 d #s(literal 3 binary64)))) (*.f64 c c) (/.f64 (neg.f64 a) d)) |
(+ (* -1 (/ a d)) (* (pow c 2) (+ (* (pow c 2) (+ (* -1 (/ a (pow d 5))) (/ (* a (pow c 2)) (pow d 7)))) (/ a (pow d 3))))) |
(fma.f64 (pow.f64 c #s(literal 4 binary64)) (fma.f64 (*.f64 c c) (/.f64 a (pow.f64 d #s(literal 7 binary64))) (/.f64 (neg.f64 a) (pow.f64 d #s(literal 5 binary64)))) (*.f64 (/.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)) d) a)) |
(/ 1 d) |
(/.f64 #s(literal 1 binary64) d) |
(+ (* -1 (/ (pow c 2) (pow d 3))) (/ 1 d)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 c (/.f64 (/.f64 c d) d))) d) |
(+ (* (pow c 2) (- (/ (pow c 2) (pow d 5)) (/ 1 (pow d 3)))) (/ 1 d)) |
(fma.f64 (fma.f64 c (/.f64 c (pow.f64 d #s(literal 5 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 d #s(literal 3 binary64)))) (*.f64 c c) (/.f64 #s(literal 1 binary64) d)) |
(+ (* (pow c 2) (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 7))) (/ 1 (pow d 5)))) (/ 1 (pow d 3)))) (/ 1 d)) |
(fma.f64 (-.f64 (fma.f64 c (/.f64 c (pow.f64 d #s(literal 5 binary64))) (/.f64 (neg.f64 (pow.f64 c #s(literal 4 binary64))) (pow.f64 d #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 d #s(literal 3 binary64)))) (*.f64 c c) (/.f64 #s(literal 1 binary64) 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))) |
(/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(fma.f64 (*.f64 (/.f64 a (pow.f64 d #s(literal 3 binary64))) c) c (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(fma.f64 (*.f64 c c) (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) (neg.f64 b) (/.f64 a (pow.f64 d #s(literal 3 binary64)))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(fma.f64 (*.f64 (/.f64 a (pow.f64 d #s(literal 3 binary64))) c) c (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(fma.f64 (*.f64 c c) (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) (neg.f64 b) (/.f64 a (pow.f64 d #s(literal 3 binary64)))) (/.f64 (fma.f64 (/.f64 b d) c (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 (-.f64 b (/.f64 (*.f64 d a) c)) c) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) |
(/ (+ (* -1 (* a d)) (* b c)) (pow c 2)) |
(/.f64 (-.f64 b (/.f64 (*.f64 d a) c)) c) |
(* -1 (/ (* a d) c)) |
(/.f64 (*.f64 (neg.f64 a) d) c) |
(/ (- (* b c) (* a d)) c) |
(-.f64 b (/.f64 (*.f64 d a) c)) |
(/ (- (* b c) (* a d)) c) |
(-.f64 b (/.f64 (*.f64 d a) c)) |
(/ (- (* b c) (* a d)) c) |
(-.f64 b (/.f64 (*.f64 d a) c)) |
(* -1 (/ (* a d) c)) |
(/.f64 (*.f64 (neg.f64 a) d) c) |
(* -1 (/ (* a d) c)) |
(/.f64 (*.f64 (neg.f64 a) d) c) |
(* -1 (/ (* a d) c)) |
(/.f64 (*.f64 (neg.f64 a) d) c) |
(* -1 (/ (* a d) c)) |
(/.f64 (*.f64 (neg.f64 a) d) c) |
c |
c |
c |
c |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(fma.f64 (*.f64 (/.f64 a (pow.f64 d #s(literal 3 binary64))) c) c (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) |
(+ (* -1 (/ a d)) (* c (+ (* c (- (* -1 (/ (* b c) (pow d 4))) (* -1 (/ a (pow d 3))))) (/ b (pow d 2))))) |
(fma.f64 (*.f64 c c) (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) (neg.f64 b) (/.f64 a (pow.f64 d #s(literal 3 binary64)))) (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(+ (* -1 (/ a d)) (/ (* b c) (pow d 2))) |
(/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(fma.f64 (*.f64 (/.f64 a (pow.f64 d #s(literal 3 binary64))) c) c (/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d)) |
(+ (* -1 (/ a d)) (* c (+ (/ b (pow d 2)) (/ (* a c) (pow d 3))))) |
(fma.f64 (*.f64 (/.f64 a (pow.f64 d #s(literal 3 binary64))) c) c (/.f64 (fma.f64 (/.f64 b d) c (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) |
(/ 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 (neg.f64 (-.f64 (/.f64 (fma.f64 d a (/.f64 (*.f64 (*.f64 d d) b) c)) c) b)) c) |
(/ (- (+ b (+ (* -1 (/ (* a d) c)) (/ (* a (pow d 3)) (pow c 3)))) (/ (* b (pow d 2)) (pow c 2))) c) |
(/.f64 (+.f64 (fma.f64 (pow.f64 (/.f64 d c) #s(literal 3 binary64)) a (/.f64 (neg.f64 (fma.f64 d a (/.f64 (*.f64 (*.f64 d d) b) c))) c)) b) c) |
(/ (* b c) (pow d 2)) |
(*.f64 (/.f64 (/.f64 c d) d) b) |
(* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2)))) |
(*.f64 (-.f64 (/.f64 b (*.f64 d d)) (/.f64 (/.f64 a d) c)) c) |
(* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2)))) |
(*.f64 (-.f64 (/.f64 b (*.f64 d d)) (/.f64 (/.f64 a d) c)) c) |
(* c (+ (* -1 (/ a (* c d))) (/ b (pow d 2)))) |
(*.f64 (-.f64 (/.f64 b (*.f64 d d)) (/.f64 (/.f64 a d) c)) c) |
(/ (* b c) d) |
(/.f64 (*.f64 c b) d) |
(* c (+ (* -1 (/ a c)) (/ b d))) |
(*.f64 (-.f64 (/.f64 b d) (/.f64 a c)) c) |
(* c (+ (* -1 (/ a c)) (/ b d))) |
(*.f64 (-.f64 (/.f64 b d) (/.f64 a c)) c) |
(* c (+ (* -1 (/ a c)) (/ b d))) |
(*.f64 (-.f64 (/.f64 b d) (/.f64 a c)) c) |
(/ c d) |
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(/ (+ (* -1 a) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2)))) d) |
(/.f64 (fma.f64 a (fma.f64 (neg.f64 c) (/.f64 (/.f64 c d) d) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) a) (neg.f64 d)) |
(/ (+ (* -1 a) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* a (pow c 6)) (pow d 6))))) d) |
(/.f64 (-.f64 (*.f64 a (fma.f64 (/.f64 c d) (/.f64 c d) (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))))) (fma.f64 (pow.f64 c #s(literal 4 binary64)) (/.f64 a (pow.f64 d #s(literal 4 binary64))) a)) d) |
(/ 1 d) |
(/.f64 #s(literal 1 binary64) d) |
(/ (+ 1 (* -1 (/ (pow c 2) (pow d 2)))) d) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 c (/.f64 (/.f64 c d) d))) d) |
(/ (- (+ 1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2))) d) |
(/.f64 (-.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64))) d) |
(/ (- (+ 1 (* -1 (/ (pow c 6) (pow d 6)))) (+ (* -1 (/ (pow c 4) (pow d 4))) (/ (pow c 2) (pow d 2)))) d) |
(/.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) #s(literal -1 binary64) (-.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)))) d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/.f64 (fma.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)) a (/.f64 (*.f64 c b) d)) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(/.f64 (fma.f64 (*.f64 c (/.f64 c d)) (/.f64 a d) (fma.f64 (/.f64 b d) c (neg.f64 (fma.f64 (pow.f64 (/.f64 c d) #s(literal 3 binary64)) b a)))) d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/.f64 (fma.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)) a (/.f64 (*.f64 c b) d)) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(/.f64 (fma.f64 (*.f64 c (/.f64 c d)) (/.f64 a d) (fma.f64 (/.f64 b d) c (neg.f64 (fma.f64 (pow.f64 (/.f64 c d) #s(literal 3 binary64)) b a)))) d) |
(* -1 (/ (* a d) (pow c 2))) |
(*.f64 (/.f64 (/.f64 (neg.f64 a) c) c) d) |
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(*.f64 (-.f64 (/.f64 (/.f64 b d) c) (/.f64 (/.f64 a c) c)) d) |
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(*.f64 (-.f64 (/.f64 (/.f64 b d) c) (/.f64 (/.f64 a c) c)) d) |
(* d (+ (* -1 (/ a (pow c 2))) (/ b (* c d)))) |
(*.f64 (-.f64 (/.f64 (/.f64 b d) c) (/.f64 (/.f64 a c) c)) d) |
(* -1 (/ (* a d) c)) |
(/.f64 (*.f64 (neg.f64 a) d) c) |
(* d (- (/ b d) (/ a c))) |
(*.f64 (-.f64 (/.f64 b d) (/.f64 a c)) d) |
(* d (- (/ b d) (/ a c))) |
(*.f64 (-.f64 (/.f64 b d) (/.f64 a c)) d) |
(* d (- (/ b d) (/ a c))) |
(*.f64 (-.f64 (/.f64 b d) (/.f64 a c)) d) |
(* -1 (/ (* a d) c)) |
(/.f64 (*.f64 (neg.f64 a) d) c) |
(* -1 (/ (* a d) c)) |
(/.f64 (*.f64 (neg.f64 a) d) c) |
(* -1 (/ (* a d) c)) |
(/.f64 (*.f64 (neg.f64 a) d) c) |
(* -1 (/ (* a d) c)) |
(/.f64 (*.f64 (neg.f64 a) d) c) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/.f64 (fma.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)) a (/.f64 (*.f64 c b) d)) d) |
(/ (- (+ (* -1 a) (+ (* -1 (/ (* b (pow c 3)) (pow d 3))) (/ (* b c) d))) (* -1 (/ (* a (pow c 2)) (pow d 2)))) d) |
(/.f64 (fma.f64 (*.f64 c (/.f64 c d)) (/.f64 a d) (fma.f64 (/.f64 b d) c (neg.f64 (fma.f64 (pow.f64 (/.f64 c d) #s(literal 3 binary64)) b a)))) d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(/ (+ (* -1 a) (/ (* b c) d)) d) |
(/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/.f64 (fma.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)) a (/.f64 (*.f64 c b) d)) d) |
(/ (+ (* -1 a) (+ (/ (* a (pow c 2)) (pow d 2)) (/ (* b c) d))) d) |
(/.f64 (fma.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)) a (/.f64 (*.f64 c b) d)) 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) |
(/ (pow d 2) b) |
(/.f64 (*.f64 d d) b) |
(/ (pow d 2) b) |
(/.f64 (*.f64 d d) b) |
(/ (pow d 2) b) |
(/.f64 (*.f64 d d) b) |
(/ (pow d 2) b) |
(/.f64 (*.f64 d d) b) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 c b (/.f64 (*.f64 (*.f64 c c) a) 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 (*.f64 c c) a (/.f64 (*.f64 (neg.f64 b) (pow.f64 c #s(literal 3 binary64))) d)) d)) d)) (neg.f64 d)) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) |
(* -1 a) |
(neg.f64 a) |
(- (/ (* b c) d) a) |
(fma.f64 (/.f64 b d) c (neg.f64 a)) |
(- (/ (* b c) d) a) |
(fma.f64 (/.f64 b d) c (neg.f64 a)) |
(- (/ (* b c) d) a) |
(fma.f64 (/.f64 b d) c (neg.f64 a)) |
(/ 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 (fma.f64 (/.f64 b d) c (neg.f64 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 c) a) 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 (*.f64 c c) a (/.f64 (*.f64 (neg.f64 b) (pow.f64 c #s(literal 3 binary64))) d)) d)) d)) (neg.f64 d)) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* a (pow c 2)) (pow d 2)))) d)) |
(*.f64 (/.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)) d) a) |
(* -1 (/ (- (+ a (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2))) d)) |
(/.f64 (fma.f64 a (fma.f64 (neg.f64 c) (/.f64 (/.f64 c d) d) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) a) (neg.f64 d)) |
(* -1 (/ (- (+ a (* -1 (/ (* a (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2)))) d)) |
(/.f64 (fma.f64 (neg.f64 (pow.f64 c #s(literal 6 binary64))) (/.f64 a (pow.f64 d #s(literal 6 binary64))) (fma.f64 a (fma.f64 (neg.f64 c) (/.f64 (/.f64 c d) d) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) a)) (neg.f64 d)) |
(/ 1 d) |
(/.f64 #s(literal 1 binary64) d) |
(* -1 (/ (- (/ (pow c 2) (pow d 2)) 1) d)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 c (/.f64 (/.f64 c d) d))) d) |
(* -1 (/ (- (* -1 (/ (pow c 4) (pow d 4))) (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) d)) |
(/.f64 (-.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64))) d) |
(* -1 (/ (- (/ (pow c 6) (pow d 6)) (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (pow c 4) (pow d 4))))) d)) |
(/.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) #s(literal -1 binary64) (-.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)))) d) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (fma.f64 (/.f64 b d) c (neg.f64 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 c) a) 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 (*.f64 c c) a (/.f64 (*.f64 (neg.f64 b) (pow.f64 c #s(literal 3 binary64))) d)) d)) d)) (neg.f64 d)) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 c b (/.f64 (*.f64 (*.f64 c c) a) 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 (*.f64 c c) a (/.f64 (*.f64 (neg.f64 b) (pow.f64 c #s(literal 3 binary64))) d)) d)) d)) (neg.f64 d)) |
(* -1 (/ (* a d) (pow c 2))) |
(*.f64 (/.f64 (/.f64 (neg.f64 a) c) c) d) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(*.f64 (-.f64 (/.f64 (/.f64 b d) c) (/.f64 (/.f64 a c) c)) d) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(*.f64 (-.f64 (/.f64 (/.f64 b d) c) (/.f64 (/.f64 a c) c)) d) |
(* -1 (* d (+ (* -1 (/ b (* c d))) (/ a (pow c 2))))) |
(*.f64 (-.f64 (/.f64 (/.f64 b d) c) (/.f64 (/.f64 a c) c)) d) |
(* -1 (/ (* a d) c)) |
(/.f64 (*.f64 (neg.f64 a) d) c) |
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) |
(*.f64 (-.f64 (/.f64 b d) (/.f64 a c)) d) |
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) |
(*.f64 (-.f64 (/.f64 b d) (/.f64 a c)) d) |
(* -1 (* d (- (* -1 (/ b d)) (* -1 (/ a c))))) |
(*.f64 (-.f64 (/.f64 b d) (/.f64 a c)) d) |
(* -1 (/ (* a d) c)) |
(/.f64 (*.f64 (neg.f64 a) d) c) |
(* -1 (/ (* a d) c)) |
(/.f64 (*.f64 (neg.f64 a) d) c) |
(* -1 (/ (* a d) c)) |
(/.f64 (*.f64 (neg.f64 a) d) c) |
(* -1 (/ (* a d) c)) |
(/.f64 (*.f64 (neg.f64 a) d) c) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 c b (/.f64 (*.f64 (*.f64 c c) a) 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 (*.f64 c c) a (/.f64 (*.f64 (neg.f64 b) (pow.f64 c #s(literal 3 binary64))) d)) d)) d)) (neg.f64 d)) |
(* -1 (/ a d)) |
(/.f64 (neg.f64 a) d) |
(* -1 (/ (+ a (* -1 (/ (* b c) d))) d)) |
(/.f64 (fma.f64 (/.f64 b d) c (neg.f64 a)) d) |
(* -1 (/ (+ a (* -1 (/ (+ (* b c) (/ (* a (pow c 2)) d)) d))) d)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 c b (/.f64 (*.f64 (*.f64 c c) a) d)) d)) (neg.f64 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 c) a) d)) d)) (neg.f64 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) |
(/ (pow d 2) b) |
(/.f64 (*.f64 d d) b) |
(/ (pow d 2) b) |
(/.f64 (*.f64 d d) b) |
(/ (pow d 2) b) |
(/.f64 (*.f64 d d) b) |
(/ (pow d 2) b) |
(/.f64 (*.f64 d d) b) |
| 5 454× | lower-*.f32 |
| 5 446× | lower-*.f64 |
| 5 034× | lower-/.f32 |
| 5 016× | lower-/.f64 |
| 4 834× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 291 |
| 0 | 62 | 283 |
| 1 | 271 | 279 |
| 2 | 2040 | 279 |
| 0 | 9035 | 269 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) |
(/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d) |
(fma.f64 (/.f64 c d) b (neg.f64 a)) |
(/.f64 c d) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)))) |
(*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d))) |
(neg.f64 a) |
#s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)) |
(/.f64 #s(literal 1 binary64) (/.f64 c b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) |
(/.f64 c b) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (* d (/ a c))) (*.f64 (/.f64 (neg.f64 a) c) d)) c)) |
(/.f64 #s(approx (- b (* d (/ a c))) (*.f64 (/.f64 (neg.f64 a) c) d)) c) |
#s(approx (- b (* d (/ a c))) (*.f64 (/.f64 (neg.f64 a) c) d)) |
(*.f64 (/.f64 (neg.f64 a) c) d) |
(*.f64 c #s(literal 1 binary64)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (/.f64 (*.f64 c #s(literal 1 binary64)) (*.f64 d (/.f64 d b))))) |
#s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (/.f64 (*.f64 c #s(literal 1 binary64)) (*.f64 d (/.f64 d b)))) |
(/.f64 (*.f64 c #s(literal 1 binary64)) (*.f64 d (/.f64 d b))) |
(*.f64 d (/.f64 d b)) |
| Outputs |
|---|
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Compiled 18 326 to 2 415 computations (86.8% saved)
25 alts after pruning (17 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 236 | 3 | 1 239 |
| Fresh | 2 | 14 | 16 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 239 | 25 | 1 264 |
| Status | Accuracy | Program |
|---|---|---|
| 36.1% | (/.f64 (fma.f64 (neg.f64 d) a (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| 34.3% | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| 19.5% | (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| 29.2% | (/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| 39.2% | (/.f64 #s(approx (+ (* (neg d) a) (* b c)) (*.f64 (neg.f64 d) a)) (fma.f64 d d (*.f64 c c))) | |
| 24.7% | (/.f64 #s(approx (+ (* (neg d) a) (* b c)) (*.f64 c b)) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) | |
| 46.6% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) d)) | |
| ✓ | 51.1% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) |
| ✓ | 54.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (/.f64 a c))) c)) |
| ✓ | 38.9% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
| 38.6% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) (*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)) a)) d)) | |
| 21.8% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (/.f64 (neg.f64 d) c) a)) c)) | |
| 45.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (-.f64 (/.f64 b d) (/.f64 a c)) d)) c)) | |
| ✓ | 22.1% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (* d (/ a c))) (*.f64 (/.f64 (neg.f64 a) c) d)) c)) |
| ✓ | 45.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
| ✓ | 44.9% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) |
| 45.3% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) | |
| 44.9% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 b))) | |
| 19.8% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 d (*.f64 c c))))) | |
| ✓ | 38.8% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)))) |
| 29.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (/.f64 c (*.f64 (/.f64 d b) d)))) | |
| 25.2% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (*.f64 (/.f64 c (*.f64 d d)) b))) | |
| ✓ | 28.0% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d)))) |
| 27.9% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (*.f64 (/.f64 c d) (*.f64 (/.f64 #s(literal -1 binary64) d) (/.f64 b #s(literal -1 binary64)))))) | |
| 26.3% | #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (*.f64 c (/.f64 b (*.f64 d d))))) |
Compiled 763 to 429 computations (43.8% saved)
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (*.f64 b (/.f64 c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (*.f64 c (/.f64 b (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (*.f64 (/.f64 c (*.f64 d d)) b))) |
(/.f64 #s(approx (+ (* (neg d) a) (* b c)) (*.f64 c b)) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 d (*.f64 c c))))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (/.f64 c (*.f64 (/.f64 d b) d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (/.f64 (*.f64 (/.f64 b d) c) d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) (/.f64 (*.f64 c b) d)) d)) |
(/.f64 #s(approx (+ (* (neg d) a) (* b c)) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (* d (/ a c))) (*.f64 (/.f64 (neg.f64 a) c) d)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (/.f64 (neg.f64 d) c) a)) c)) |
(/.f64 #s(approx (+ (* (neg d) a) (* b c)) (*.f64 (neg.f64 d) a)) (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 (neg.f64 d) a (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (/.f64 a c))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (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)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (/.f64 (*.f64 c #s(literal 1 binary64)) (*.f64 d (/.f64 d b))))) |
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (-.f64 (/.f64 b d) (/.f64 a c)) d)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (*.f64 (/.f64 c d) (*.f64 (/.f64 #s(literal -1 binary64) d) (/.f64 b #s(literal -1 binary64)))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) (*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)) a)) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) (/.f64 (/.f64 (fma.f64 (*.f64 b d) c (*.f64 (*.f64 c c) a)) d) d)) d)) |
(/.f64 (/.f64 (fma.f64 (*.f64 b c) (fma.f64 d d (*.f64 c c)) (*.f64 (neg.f64 (fma.f64 d d (*.f64 c c))) (*.f64 a d))) (fma.f64 d d (*.f64 c c))) (fma.f64 d d (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (fma.f64 (fma.f64 (-.f64 (*.f64 (/.f64 a (pow.f64 c #s(literal 4 binary64))) d) (/.f64 b (pow.f64 c #s(literal 3 binary64)))) d (/.f64 (/.f64 (neg.f64 a) c) c)) d (/.f64 b c))) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (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))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) |
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (/.f64 a c))) c)) |
5 calls:
| 22.0ms | d |
| 12.0ms | b |
| 12.0ms | c |
| 12.0ms | a |
| 11.0ms | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.9% | 5 | a |
| 65.4% | 2 | b |
| 87.3% | 5 | c |
| 85.8% | 5 | d |
| 77.5% | 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) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (*.f64 b (/.f64 c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (*.f64 c (/.f64 b (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (*.f64 (/.f64 c (*.f64 d d)) b))) |
(/.f64 #s(approx (+ (* (neg d) a) (* b c)) (*.f64 c b)) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 d (*.f64 c c))))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (/.f64 c (*.f64 (/.f64 d b) d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (/.f64 (*.f64 (/.f64 b d) c) d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) (/.f64 (*.f64 c b) d)) d)) |
(/.f64 #s(approx (+ (* (neg d) a) (* b c)) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (* d (/ a c))) (*.f64 (/.f64 (neg.f64 a) c) d)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (/.f64 (neg.f64 d) c) a)) c)) |
(/.f64 #s(approx (+ (* (neg d) a) (* b c)) (*.f64 (neg.f64 d) a)) (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 (neg.f64 d) a (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (/.f64 a c))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (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)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (/.f64 (*.f64 c #s(literal 1 binary64)) (*.f64 d (/.f64 d b))))) |
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) |
(/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (-.f64 (/.f64 b d) (/.f64 a c)) d)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (*.f64 (/.f64 c d) (*.f64 (/.f64 #s(literal -1 binary64) d) (/.f64 b #s(literal -1 binary64)))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) (*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)) a)) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (fma.f64 b c (/.f64 (*.f64 (*.f64 a c) c) d)) d) a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) (/.f64 (/.f64 (fma.f64 (*.f64 b d) c (*.f64 (*.f64 c c) a)) d) d)) d)) |
(/.f64 (/.f64 (fma.f64 (*.f64 b c) (fma.f64 d d (*.f64 c c)) (*.f64 (neg.f64 (fma.f64 d d (*.f64 c c))) (*.f64 a d))) (fma.f64 d d (*.f64 c c))) (fma.f64 d d (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 c d) d) c #s(literal -1 binary64)) a (*.f64 b (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))))) d)) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (/.f64 a c))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) |
(/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (/.f64 a c))) c)) |
1 calls:
| 12.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.0% | 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) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (*.f64 b (/.f64 c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (*.f64 c (/.f64 b (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (*.f64 (/.f64 c (*.f64 d d)) b))) |
(/.f64 #s(approx (+ (* (neg d) a) (* b c)) (*.f64 c b)) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 d (*.f64 c c))))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (/.f64 c (*.f64 (/.f64 d b) d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (/.f64 (*.f64 (/.f64 b d) c) d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) (/.f64 (*.f64 c b) d)) d)) |
(/.f64 #s(approx (+ (* (neg d) a) (* b c)) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (* d (/ a c))) (*.f64 (/.f64 (neg.f64 a) c) d)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (/.f64 (neg.f64 d) c) a)) c)) |
(/.f64 #s(approx (+ (* (neg d) a) (* b c)) (*.f64 (neg.f64 d) a)) (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 (neg.f64 d) a (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (/.f64 a c))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (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)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (/.f64 (*.f64 c #s(literal 1 binary64)) (*.f64 d (/.f64 d b))))) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) |
2 calls:
| 9.0ms | c |
| 9.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.7% | 3 | d |
| 82.2% | 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) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (*.f64 b (/.f64 c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (*.f64 c (/.f64 b (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (*.f64 (/.f64 c (*.f64 d d)) b))) |
(/.f64 #s(approx (+ (* (neg d) a) (* b c)) (*.f64 c b)) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 d (*.f64 c c))))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (/.f64 c (*.f64 (/.f64 d b) d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (/.f64 (*.f64 (/.f64 b d) c) d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) (/.f64 (*.f64 c b) d)) d)) |
(/.f64 #s(approx (+ (* (neg d) a) (* b c)) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (* d (/ a c))) (*.f64 (/.f64 (neg.f64 a) c) d)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (/.f64 (neg.f64 d) c) a)) c)) |
(/.f64 #s(approx (+ (* (neg d) a) (* b c)) (*.f64 (neg.f64 d) a)) (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 (neg.f64 d) a (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (/.f64 a c))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (/.f64 a c))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (/.f64 a c))) c)) |
2 calls:
| 9.0ms | c |
| 9.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.2% | 4 | c |
| 79.6% | 3 | d |
Compiled 2 to 8 computations (-300% saved)
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (*.f64 b (/.f64 c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (*.f64 c (/.f64 b (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (*.f64 (/.f64 c (*.f64 d d)) b))) |
(/.f64 #s(approx (+ (* (neg d) a) (* b c)) (*.f64 c b)) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 d (*.f64 c c))))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (/.f64 c (*.f64 (/.f64 d b) d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (/.f64 (*.f64 (/.f64 b d) c) d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) (/.f64 (*.f64 c b) d)) d)) |
(/.f64 #s(approx (+ (* (neg d) a) (* b c)) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (* d (/ a c))) (*.f64 (/.f64 (neg.f64 a) c) d)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (/.f64 (neg.f64 d) c) a)) c)) |
(/.f64 #s(approx (+ (* (neg d) a) (* b c)) (*.f64 (neg.f64 d) a)) (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 (neg.f64 d) a (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (/.f64 a c))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
3 calls:
| 29.0ms | c |
| 8.0ms | d |
| 8.0ms | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.0% | 2 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 75.6% | 3 | d |
| 74.2% | 4 | c |
Compiled 17 to 19 computations (-11.8% saved)
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (*.f64 b (/.f64 c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (*.f64 c (/.f64 b (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (*.f64 (/.f64 c (*.f64 d d)) b))) |
(/.f64 #s(approx (+ (* (neg d) a) (* b c)) (*.f64 c b)) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 d (*.f64 c c))))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (/.f64 c (*.f64 (/.f64 d b) d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (/.f64 (*.f64 (/.f64 b d) c) d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) (/.f64 (*.f64 c b) d)) d)) |
(/.f64 #s(approx (+ (* (neg d) a) (* b c)) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (* d (/ a c))) (*.f64 (/.f64 (neg.f64 a) c) d)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (/.f64 (neg.f64 d) c) a)) c)) |
(/.f64 #s(approx (+ (* (neg d) a) (* b c)) (*.f64 (neg.f64 d) a)) (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 (neg.f64 d) a (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (/.f64 a c))) c)) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (/.f64 a c))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
1 calls:
| 8.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.5% | 3 | d |
Compiled 1 to 4 computations (-300% saved)
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (*.f64 b (/.f64 c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (*.f64 c (/.f64 b (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (*.f64 (/.f64 c (*.f64 d d)) b))) |
(/.f64 #s(approx (+ (* (neg d) a) (* b c)) (*.f64 c b)) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 d (*.f64 c c))))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (/.f64 c (*.f64 (/.f64 d b) d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (/.f64 (*.f64 (/.f64 b d) c) d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) (/.f64 (*.f64 c b) d)) d)) |
(/.f64 #s(approx (+ (* (neg d) a) (* b c)) (*.f64 c b)) (fma.f64 d d (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- b (/ (* a d) c)) c) (*.f64 (/.f64 (neg.f64 a) c) (/.f64 d c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 d (fma.f64 c c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (* d (/ a c))) (*.f64 (/.f64 (neg.f64 a) c) d)) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(approx (- b (/ (* a d) c)) (*.f64 (/.f64 (neg.f64 d) c) a)) c)) |
(/.f64 #s(approx (+ (* (neg d) a) (* b c)) (*.f64 (neg.f64 d) a)) (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 (neg.f64 d) a (*.f64 c b)) #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)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
3 calls:
| 26.0ms | a |
| 8.0ms | c |
| 8.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 61.9% | 4 | a |
| 69.3% | 4 | c |
| 67.6% | 4 | d |
Compiled 3 to 12 computations (-300% saved)
| Inputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (*.f64 b (/.f64 c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (*.f64 c (/.f64 b (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (*.f64 (/.f64 c (*.f64 d d)) b))) |
(/.f64 #s(approx (+ (* (neg d) a) (* b c)) (*.f64 c b)) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 d (*.f64 c c))))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (/.f64 c (*.f64 (/.f64 d b) d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (/.f64 (*.f64 (/.f64 b d) c) d))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) |
| Outputs |
|---|
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 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 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
2 calls:
| 5.0ms | c |
| 5.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.2% | 3 | b |
| 68.4% | 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) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (*.f64 b (/.f64 c (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (*.f64 c (/.f64 b (*.f64 d d))))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (*.f64 (/.f64 c (*.f64 d d)) b))) |
(/.f64 #s(approx (+ (* (neg d) a) (* b c)) (*.f64 c b)) #s(approx (+ (* d d) (* c c)) (*.f64 d d))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 c b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 #s(literal 1 binary64) (/.f64 c b))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) #s(approx (/ d (+ (* c c) (* d d))) (/.f64 d (*.f64 c c))))) |
(/.f64 #s(approx (- (* b c) (* a d)) (*.f64 (neg.f64 d) a)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (*.f64 (/.f64 c d) (/.f64 b d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (/.f64 c (*.f64 (/.f64 d b) d)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) #s(approx (/ (- (/ (+ (* b c) (/ (* (* a c) c) d)) d) a) d) (/.f64 (*.f64 (/.f64 b d) c) 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)) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
2 calls:
| 5.0ms | d |
| 5.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.2% | 3 | d |
| 65.5% | 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 | a |
| 1.0ms | b |
| 1.0ms | c |
| 1.0ms | d |
| 1.0ms | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 45.0% | 1 | b |
| 45.0% | 1 | a |
| 45.0% | 1 | (/.f64 (-.f64 (*.f64 b c) (*.f64 a d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 45.0% | 1 | d |
| 45.0% | 1 | c |
Compiled 19 to 27 computations (-42.1% saved)
| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 1.2318678244729526e+65 | 5.089867932167805e+70 |
| 8.0ms | 2.741698651203906e-141 | 5.817486339613671e-141 |
| 7.0ms | -31625376948282884000.0 | -18273572499593626000.0 |
| 26.0ms | -6.154043072268308e+128 | -2.224591714527368e+113 |
| 39.0ms | 448× | 0 | valid |
Compiled 818 to 692 computations (15.4% saved)
ival-mult: 11.0ms (59.5% of total)ival-div: 3.0ms (16.2% of total)ival-sub: 2.0ms (10.8% of total)ival-add: 2.0ms (10.8% 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 | 1.2318678244729526e+65 | 5.089867932167805e+70 |
| 0.0ms | 2.741698651203906e-141 | 5.817486339613671e-141 |
| 0.0ms | -31625376948282884000.0 | -18273572499593626000.0 |
| 9.0ms | -6.154043072268308e+128 | -2.224591714527368e+113 |
| 5.0ms | 80× | 0 | valid |
Compiled 648 to 592 computations (8.6% saved)
ival-mult: 2.0ms (60% of total)ival-sub: 0.0ms (0% of total)ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 1.755489667229273e+90 | 3.451571179249091e+90 |
| 23.0ms | -3.984742922218652e+36 | -1.6915687618260622e+34 |
| 23.0ms | 176× | 0 | valid |
Compiled 238 to 238 computations (0% saved)
ival-mult: 15.0ms (83% of total)ival-sub: 1.0ms (5.5% of total)ival-div: 1.0ms (5.5% of total)ival-add: 1.0ms (5.5% 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 |
|---|---|---|
| 10.0ms | 3252.6902002324755 | 13857.246889655833 |
| 0.0ms | -31625376948282884000.0 | -18273572499593626000.0 |
| 1.0ms | -6.154043072268308e+128 | -2.224591714527368e+113 |
| 6.0ms | 96× | 0 | valid |
Compiled 432 to 418 computations (3.2% saved)
ival-mult: 2.0ms (52.6% of total)ival-div: 1.0ms (26.3% 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 |
|---|---|---|
| 16.0ms | 3.007475117823688e+133 | 1.3378389895675917e+143 |
| 8.0ms | -1.0551809058152669e+40 | -4.9540605311405466e+39 |
| 16.0ms | 240× | 0 | valid |
Compiled 243 to 288 computations (-18.5% saved)
ival-mult: 6.0ms (61% of total)ival-sub: 1.0ms (10.2% of total)ival-div: 1.0ms (10.2% of total)ival-add: 1.0ms (10.2% 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 |
|---|---|---|
| 42.0ms | 3.007475117823688e+133 | 1.3378389895675917e+143 |
| 0.0ms | -1.0551809058152669e+40 | -4.9540605311405466e+39 |
| 37.0ms | 112× | 0 | valid |
Compiled 243 to 288 computations (-18.5% saved)
ival-mult: 3.0ms (62.5% of total)ival-sub: 1.0ms (20.8% of total)ival-div: 1.0ms (20.8% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 3.802345638337713e+121 | 1.1386328834535105e+136 |
| 12.0ms | 4.3140193991664054e-138 | 2.2081204153000086e-136 |
| 0.0ms | -31625376948282884000.0 | -18273572499593626000.0 |
| 18.0ms | 272× | 0 | valid |
Compiled 316 to 374 computations (-18.4% saved)
ival-mult: 7.0ms (63.5% of total)ival-div: 2.0ms (18.1% of total)ival-sub: 1.0ms (9.1% of total)ival-add: 1.0ms (9.1% 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 |
|---|---|---|
| 13.0ms | 3.802345638337713e+121 | 1.1386328834535105e+136 |
| 35.0ms | 5.132392278134923e-122 | 5.484243185089589e-120 |
| 0.0ms | -31625376948282884000.0 | -18273572499593626000.0 |
| 39.0ms | 240× | 0 | valid |
Compiled 316 to 374 computations (-18.4% saved)
ival-mult: 6.0ms (59.8% of total)ival-div: 2.0ms (19.9% of total)ival-sub: 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)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 4.220535090505192e-55 | 7.79309401523191e-51 |
| 0.0ms | -31625376948282884000.0 | -18273572499593626000.0 |
| 10.0ms | 128× | 0 | valid |
Compiled 126 to 198 computations (-57.1% saved)
ival-mult: 3.0ms (56.9% of total)ival-sub: 1.0ms (19% of total)ival-div: 1.0ms (19% of total)ival-add: 1.0ms (19% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 36× | *-commutative-binary64-*.f64 |
| 32× | +-commutative-binary64-+.f64 |
| 32× | sub-neg-binary64-neg.f64-+.f64--.f64 |
| 24× | neg-sub0-binary64--.f64-neg.f64 |
| 24× | neg-mul-1-binary64-*.f64-neg.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 115 | 898 |
| 1 | 139 | 898 |
| 2 | 173 | 898 |
| 3 | 200 | 898 |
| 4 | 215 | 898 |
| 5 | 220 | 898 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 c #s(literal -234999999999999989986145760530883583374888408791315903384587143318668210912651300205065321633936630056951119609856 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))) (if (<=.f64 c #s(literal -26000000000000000000 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b)) (if (<=.f64 c #s(literal 8666807045914895/1716199415032652428745475199770348304317358825035826352348615864796385795849414013030639910165363638744324077847870214509280496999929160953143507072778764288 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) (if (<=.f64 c #s(literal 13999999999999999482944568475520433407870214584742123758515819993104384 binary64)) (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (/.f64 a c))) c)))))) |
(if (<=.f64 c #s(literal -750000000000000011669562097100132268201151047690796075027327935323125335873566777448739042436285585757154710650880 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (/.f64 a c))) c)) (if (<=.f64 c #s(literal -26000000000000000000 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b)) (if (<=.f64 c #s(literal 8666807045914895/1716199415032652428745475199770348304317358825035826352348615864796385795849414013030639910165363638744324077847870214509280496999929160953143507072778764288 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) (if (<=.f64 c #s(literal 13999999999999999482944568475520433407870214584742123758515819993104384 binary64)) (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (/.f64 a c))) c)))))) |
(if (<=.f64 d #s(literal -69999999999999999649030682913538048 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) (if (<=.f64 d #s(literal 1799999999999999962287045316998339508351542976225582907955208155164446223743841991781253120 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)))) |
(if (<=.f64 c #s(literal -750000000000000011669562097100132268201151047690796075027327935323125335873566777448739042436285585757154710650880 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (/.f64 a c))) c)) (if (<=.f64 c #s(literal -26000000000000000000 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b)) (if (<=.f64 c #s(literal 3800 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (/.f64 a c))) c))))) |
(if (<=.f64 d #s(literal -10199999999999999657041806403643985887232 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 d #s(literal 32999999999999999224551649921188376054309610847698636434518172229497721989585267143685755563589344485225679296183401740245116370550784 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)))) |
(if (<=.f64 d #s(literal -10199999999999999657041806403643985887232 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 d #s(literal 540000000000000001982719487840517685751879836615817882165443913921459955458323442695810216136241515608496077574693343453460835908714496 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (/.f64 a c))) c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)))) |
(if (<=.f64 c #s(literal -26000000000000000000 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 c #s(literal 667771684010813/6546781215792283740026379393655198304433284092086129578966582736192267592809349109766540184651808314301773368255120142018434513091770786106657055178752 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 c #s(literal 519999999999999962133689844256501274802642917870256557964746970598212757789545351258136037615344703004209517548102452739427008512 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))))) |
(if (<=.f64 c #s(literal -26000000000000000000 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 c #s(literal 8140593712110797/2907354897182427562197295231552018137414565442749272241125960796722557152453591693304764202855054262243050086425064711734138406514458624 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 c #s(literal 170000000000000000614212197039639346202633449571143594486058944055723277027443352256129237092947128880844400723503047770112 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))))) |
(if (<=.f64 c #s(literal -26000000000000000000 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 c #s(literal 2830794400050817/26959946667150639794667015087019630673637144422540572481103610249216 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
| Outputs |
|---|
(if (<=.f64 c #s(literal -234999999999999989986145760530883583374888408791315903384587143318668210912651300205065321633936630056951119609856 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))) (if (<=.f64 c #s(literal -26000000000000000000 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b)) (if (<=.f64 c #s(literal 8666807045914895/1716199415032652428745475199770348304317358825035826352348615864796385795849414013030639910165363638744324077847870214509280496999929160953143507072778764288 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) (if (<=.f64 c #s(literal 13999999999999999482944568475520433407870214584742123758515819993104384 binary64)) (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (/.f64 a c))) c)))))) |
(if (<=.f64 c #s(literal -234999999999999989986145760530883583374888408791315903384587143318668210912651300205065321633936630056951119609856 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))) (if (<=.f64 c #s(literal -26000000000000000000 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b)) (if (<=.f64 c #s(literal 8666807045914895/1716199415032652428745475199770348304317358825035826352348615864796385795849414013030639910165363638744324077847870214509280496999929160953143507072778764288 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) (if (<=.f64 c #s(literal 13999999999999999482944568475520433407870214584742123758515819993104384 binary64)) (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 (/.f64 a c) d)) c)))))) |
(if (<=.f64 c #s(literal -750000000000000011669562097100132268201151047690796075027327935323125335873566777448739042436285585757154710650880 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (/.f64 a c))) c)) (if (<=.f64 c #s(literal -26000000000000000000 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b)) (if (<=.f64 c #s(literal 8666807045914895/1716199415032652428745475199770348304317358825035826352348615864796385795849414013030639910165363638744324077847870214509280496999929160953143507072778764288 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) (if (<=.f64 c #s(literal 13999999999999999482944568475520433407870214584742123758515819993104384 binary64)) (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (/.f64 a c))) c)))))) |
(if (<=.f64 c #s(literal -750000000000000011669562097100132268201151047690796075027327935323125335873566777448739042436285585757154710650880 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 (/.f64 a c) d)) c)) (if (<=.f64 c #s(literal -26000000000000000000 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b)) (if (<=.f64 c #s(literal 8666807045914895/1716199415032652428745475199770348304317358825035826352348615864796385795849414013030639910165363638744324077847870214509280496999929160953143507072778764288 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) (if (<=.f64 c #s(literal 13999999999999999482944568475520433407870214584742123758515819993104384 binary64)) (/.f64 (fma.f64 (neg.f64 d) a (*.f64 b c)) (fma.f64 d d (*.f64 c c))) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 (/.f64 a c) d)) c)))))) |
(if (<=.f64 d #s(literal -69999999999999999649030682913538048 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) (if (<=.f64 d #s(literal 1799999999999999962287045316998339508351542976225582907955208155164446223743841991781253120 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)))) |
(if (<=.f64 d #s(literal -69999999999999999649030682913538048 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) b (neg.f64 a)) d)) (if (<=.f64 d #s(literal 1799999999999999962287045316998339508351542976225582907955208155164446223743841991781253120 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 (-.f64 (/.f64 (*.f64 b c) d) a) d)))) |
(if (<=.f64 c #s(literal -750000000000000011669562097100132268201151047690796075027327935323125335873566777448739042436285585757154710650880 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (/.f64 a c))) c)) (if (<=.f64 c #s(literal -26000000000000000000 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b)) (if (<=.f64 c #s(literal 3800 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (/.f64 a c))) c))))) |
(if (<=.f64 c #s(literal -750000000000000011669562097100132268201151047690796075027327935323125335873566777448739042436285585757154710650880 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 (/.f64 a c) d)) c)) (if (<=.f64 c #s(literal -26000000000000000000 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b)) (if (<=.f64 c #s(literal 3800 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 (/.f64 (*.f64 b c) d) a) d)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 (/.f64 a c) d)) c))))) |
(if (<=.f64 d #s(literal -10199999999999999657041806403643985887232 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 d #s(literal 32999999999999999224551649921188376054309610847698636434518172229497721989585267143685755563589344485225679296183401740245116370550784 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (*.f64 a d) c)) c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)))) |
(if (<=.f64 d #s(literal -10199999999999999657041806403643985887232 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 d #s(literal 32999999999999999224551649921188376054309610847698636434518172229497721989585267143685755563589344485225679296183401740245116370550784 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 -10199999999999999657041806403643985887232 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 d #s(literal 540000000000000001982719487840517685751879836615817882165443913921459955458323442695810216136241515608496077574693343453460835908714496 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 d (/.f64 a c))) c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)))) |
(if (<=.f64 d #s(literal -10199999999999999657041806403643985887232 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 d #s(literal 540000000000000001982719487840517685751879836615817882165443913921459955458323442695810216136241515608496077574693343453460835908714496 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (*.f64 (/.f64 a c) d)) c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)))) |
(if (<=.f64 c #s(literal -26000000000000000000 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 c #s(literal 667771684010813/6546781215792283740026379393655198304433284092086129578966582736192267592809349109766540184651808314301773368255120142018434513091770786106657055178752 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 c #s(literal 519999999999999962133689844256501274802642917870256557964746970598212757789545351258136037615344703004209517548102452739427008512 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 c (fma.f64 c c (*.f64 d d))) b)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))))) |
(if (<=.f64 c #s(literal -26000000000000000000 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 c #s(literal 8140593712110797/2907354897182427562197295231552018137414565442749272241125960796722557152453591693304764202855054262243050086425064711734138406514458624 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) (if (<=.f64 c #s(literal 170000000000000000614212197039639346202633449571143594486058944055723277027443352256129237092947128880844400723503047770112 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) c)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c))))) |
(if (<=.f64 c #s(literal -26000000000000000000 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) (if (<=.f64 c #s(literal 2830794400050817/26959946667150639794667015087019630673637144422540572481103610249216 binary64)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 (neg.f64 a) d)) #s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)))) |
#s(approx (/ (- (* b c) (* a d)) (+ (* c c) (* d d))) (/.f64 b c)) |
| 8 880× | lower-fma.f64 |
| 8 880× | lower-fma.f32 |
| 7 930× | lower-fma.f64 |
| 7 930× | lower-fma.f32 |
| 5 726× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 531 | 10156 |
| 1 | 1730 | 9742 |
| 2 | 5443 | 9534 |
| 0 | 8274 | 9072 |
| 0 | 38 | 232 |
| 0 | 60 | 232 |
| 1 | 235 | 232 |
| 2 | 1877 | 232 |
| 0 | 8129 | 232 |
| 0 | 191 | 1511 |
| 1 | 623 | 1461 |
| 2 | 1861 | 1441 |
| 3 | 5489 | 1432 |
| 0 | 8501 | 1356 |
| 0 | 11 | 35 |
| 0 | 18 | 35 |
| 1 | 65 | 35 |
| 2 | 505 | 35 |
| 3 | 6376 | 35 |
| 0 | 8178 | 33 |
| 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 |
Compiled 727 to 383 computations (47.3% saved)
Compiled 910 to 280 computations (69.2% saved)
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