
Time bar (total: 6.9s)
| 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)
| 961.0ms | 8 256× | 0 | valid |
ival-mult: 433.0ms (60.5% of total)ival-add: 180.0ms (25.1% of total)ival-div: 94.0ms (13.1% of total)ival-true: 5.0ms (0.7% of total)ival-assert: 3.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 104 | 0 | - | 1 | (3.849924945576896e-178 1.7194483068937628e-177 -6.930566725711431e-136 -1.3779339995376762e-293) | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 4 | 0 | - | 0 | - | (+.f64 (*.f64 a c) (*.f64 b 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 a c) |
| 0 | 0 | - | 0 | - | c |
| 0 | 0 | - | 0 | - | b |
| 0 | 0 | - | 0 | - | (*.f64 b d) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) | o/o | 50 | 0 |
| ↳ | (+.f64 (*.f64 a c) (*.f64 b d)) | overflow | 59 | |
| ↳ | (*.f64 a c) | overflow | 27 | |
| ↳ | (*.f64 b d) | overflow | 37 | |
| ↳ | (+.f64 (*.f64 c c) (*.f64 d d)) | overflow | 120 | |
| ↳ | (*.f64 c c) | overflow | 63 | |
| ↳ | (*.f64 d d) | overflow | 69 | |
/.f64 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) | n/o | 38 | 0 |
| ↳ | (+.f64 (*.f64 c c) (*.f64 d d)) | overflow | 120 | |
| ↳ | (*.f64 c c) | overflow | 63 | |
| ↳ | (*.f64 d d) | overflow | 69 | |
/.f64 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) | o/n | 9 | 0 |
| ↳ | (+.f64 (*.f64 a c) (*.f64 b d)) | overflow | 59 | |
| ↳ | (*.f64 a c) | overflow | 27 | |
| ↳ | (*.f64 b d) | overflow | 37 | |
+.f64 | (+.f64 (*.f64 a c) (*.f64 b d)) | nan-rescue | 4 | 0 |
| ↳ | (*.f64 a c) | overflow | 27 | |
| ↳ | (*.f64 b d) | overflow | 37 | |
/.f64 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) | n/u | 3 | 0 |
| ↳ | (+.f64 (*.f64 c c) (*.f64 d d)) | underflow | 14 | |
| ↳ | (*.f64 c c) | underflow | 65 | |
| ↳ | (*.f64 d d) | underflow | 63 | |
/.f64 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) | u/u | 2 | 0 |
| ↳ | (+.f64 (*.f64 a c) (*.f64 b d)) | underflow | 3 | |
| ↳ | (*.f64 a c) | underflow | 31 | |
| ↳ | (*.f64 b d) | underflow | 32 | |
| ↳ | (+.f64 (*.f64 c c) (*.f64 d d)) | underflow | 14 | |
| ↳ | (*.f64 c c) | underflow | 65 | |
| ↳ | (*.f64 d d) | underflow | 63 | |
/.f64 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) | u/n | 1 | 0 |
| ↳ | (+.f64 (*.f64 a c) (*.f64 b d)) | underflow | 3 | |
| ↳ | (*.f64 a c) | underflow | 31 | |
| ↳ | (*.f64 b d) | underflow | 32 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 103 | 1 |
| - | 0 | 152 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 103 | 0 | 1 |
| - | 0 | 0 | 152 |
| number | freq |
|---|---|
| 0 | 153 |
| 1 | 99 |
| 2 | 4 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 39.0ms | 512× | 0 | valid |
Compiled 109 to 37 computations (66.1% saved)
ival-mult: 13.0ms (62.1% of total)ival-add: 4.0ms (19.1% of total)ival-div: 3.0ms (14.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 218 |
| 1 | 132 | 210 |
| 2 | 209 | 210 |
| 3 | 377 | 210 |
| 4 | 914 | 210 |
| 5 | 2299 | 210 |
| 6 | 3076 | 210 |
| 7 | 3886 | 210 |
| 8 | 4759 | 210 |
| 9 | 5156 | 210 |
| 10 | 5284 | 210 |
| 11 | 5444 | 210 |
| 12 | 5444 | 210 |
| 13 | 5480 | 210 |
| 14 | 5496 | 210 |
| 15 | 5496 | 210 |
| 16 | 5856 | 210 |
| 17 | 6830 | 210 |
| 18 | 6982 | 210 |
| 19 | 6994 | 210 |
| 20 | 6998 | 210 |
| 21 | 7006 | 210 |
| 22 | 7014 | 210 |
| 23 | 7014 | 210 |
| 24 | 7122 | 210 |
| 25 | 7170 | 210 |
| 26 | 7170 | 210 |
| 0 | 11 | 15 |
| 0 | 18 | 15 |
| 1 | 22 | 15 |
| 0 | 22 | 13 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| Outputs |
|---|
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) |
Compiled 15 to 11 computations (26.7% saved)
Compiled 0 to 4 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 61.1% | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
Compiled 15 to 11 computations (26.7% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 a c) | |
| cost-diff | 0 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) | |
| cost-diff | 128 | (+.f64 (*.f64 c c) (*.f64 d d)) | |
| cost-diff | 128 | (+.f64 (*.f64 a c) (*.f64 b d)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 45 |
| 0 | 18 | 45 |
| 1 | 22 | 45 |
| 0 | 22 | 41 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(+.f64 (*.f64 a c) (*.f64 b d)) |
(*.f64 a c) |
a |
c |
(*.f64 b d) |
b |
d |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(*.f64 c c) |
(*.f64 d d) |
| Outputs |
|---|
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) |
(+.f64 (*.f64 a c) (*.f64 b d)) |
(fma.f64 d b (*.f64 c a)) |
(*.f64 a c) |
(*.f64 c a) |
a |
c |
(*.f64 b d) |
(*.f64 d b) |
b |
d |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(fma.f64 d d (*.f64 c c)) |
(*.f64 c c) |
(*.f64 d d) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 a c) | |
| accuracy | 0.00390625 | (+.f64 (*.f64 c c) (*.f64 d d)) | |
| accuracy | 0.9570250574906174 | (+.f64 (*.f64 a c) (*.f64 b d)) | |
| accuracy | 24.659730245057833 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 21.0ms | 256× | 0 | valid |
Compiled 47 to 13 computations (72.3% saved)
ival-mult: 9.0ms (70.2% of total)ival-add: 2.0ms (15.6% of total)ival-div: 1.0ms (7.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ()) |
#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ()) |
#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* b d) (taylor 0 c) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a c) (* b d)) (taylor 0 c) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a c) (* b d)) (taylor 0 c) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a c) (* b d)) (taylor 0 c) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ()) |
#s(alt (pow d 2) (taylor 0 c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (/ b d) (taylor 0 c) (#s(alt (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* a c) (taylor 0 c) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ()) |
#s(alt (* a c) (taylor 0 c) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ()) |
#s(alt (* a c) (taylor 0 c) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ()) |
#s(alt (* a c) (taylor 0 c) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ()) |
#s(alt (* a c) (taylor inf c) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ a (/ (* b d) c))) (taylor inf c) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ a (/ (* b d) c))) (taylor inf c) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ a (/ (* b d) c))) (taylor inf c) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ()) |
#s(alt (pow c 2) (taylor inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (/ a c) (taylor inf c) (#s(alt (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ a (/ (* b d) c)) c) (taylor inf c) (#s(alt (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) (taylor inf c) (#s(alt (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) (taylor inf c) (#s(alt (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* a c) (taylor inf c) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ()) |
#s(alt (* a c) (taylor inf c) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ()) |
#s(alt (* a c) (taylor inf c) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ()) |
#s(alt (* a c) (taylor inf c) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ()) |
#s(alt (* a c) (taylor -inf c) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) (taylor -inf c) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) (taylor -inf c) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) (taylor -inf c) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ()) |
#s(alt (pow c 2) (taylor -inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor -inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor -inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) (taylor -inf c) (#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (/ a c) (taylor -inf c) (#s(alt (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) (taylor -inf c) (#s(alt (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) (taylor -inf c) (#s(alt (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) (taylor -inf c) (#s(alt (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* a c) (taylor -inf c) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ()) |
#s(alt (* a c) (taylor -inf c) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ()) |
#s(alt (* a c) (taylor -inf c) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ()) |
#s(alt (* a c) (taylor -inf c) (#s(alt (*.f64 a c) (patch (*.f64 a c) #<representation binary64>) () ())) ()) |
#s(alt (* a c) (taylor 0 b) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) (taylor inf d) (#s(alt (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) (taylor inf d) (#s(alt (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* b d) (taylor -inf d) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) (taylor -inf d) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) (taylor -inf d) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) (taylor -inf d) (#s(alt (+.f64 (*.f64 a c) (*.f64 b d)) (patch (+.f64 (*.f64 a c) (*.f64 b 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 (/ b d) (taylor -inf d) (#s(alt (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) (taylor -inf d) (#s(alt (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) (taylor -inf d) (#s(alt (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) (taylor -inf d) (#s(alt (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | d | @ | -inf | ((+ (* a c) (* b d)) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c)) |
| 1.0ms | c | @ | inf | ((+ (* a c) (* b d)) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c)) |
| 1.0ms | b | @ | inf | ((+ (* a c) (* b d)) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c)) |
| 1.0ms | c | @ | 0 | ((+ (* a c) (* b d)) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c)) |
| 1.0ms | c | @ | -inf | ((+ (* a c) (* b d)) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* a c)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 186 | 1356 |
| 1 | 618 | 1346 |
| 2 | 1890 | 1322 |
| 3 | 5760 | 1320 |
| 0 | 8315 | 1190 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* b d) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(pow d 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* c (+ a (/ (* b d) c))) |
(* c (+ a (/ (* b d) c))) |
(* c (+ a (/ (* b d) 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)))) |
(/ a c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) 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)))) |
(/ a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(* b d) |
(* b (+ d (/ (* a c) b))) |
(* b (+ d (/ (* a c) b))) |
(* b (+ d (/ (* a c) b))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b d) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* b d) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a (+ c (/ (* b d) a))) |
(* a (+ c (/ (* b d) a))) |
(* a (+ c (/ (* b d) a))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(* a c) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(pow c 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(* b d) |
(* d (+ b (/ (* a c) d))) |
(* d (+ b (/ (* a c) d))) |
(* d (+ b (/ (* a 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)))) |
(/ b d) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(* b d) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a 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)))) |
(/ b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
| Outputs |
|---|
(* b d) |
(*.f64 d b) |
(+ (* a c) (* b d)) |
(fma.f64 c a (*.f64 d b)) |
(+ (* a c) (* b d)) |
(fma.f64 c a (*.f64 d b)) |
(+ (* a c) (* b d)) |
(fma.f64 c a (*.f64 d 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)) |
(/ b d) |
(/.f64 b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d)) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 3 binary64))) (neg.f64 b) (/.f64 a (*.f64 d d))) c (/.f64 b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) a (/.f64 b (pow.f64 d #s(literal 3 binary64))))) c (/.f64 a (*.f64 d d))) c (/.f64 b d)) |
(* a c) |
(*.f64 c a) |
(* a c) |
(*.f64 c a) |
(* a c) |
(*.f64 c a) |
(* a c) |
(*.f64 c a) |
(* a c) |
(*.f64 c a) |
(* c (+ a (/ (* b d) c))) |
(fma.f64 c a (*.f64 d b)) |
(* c (+ a (/ (* b d) c))) |
(fma.f64 c a (*.f64 d b)) |
(* c (+ a (/ (* b d) c))) |
(fma.f64 c a (*.f64 d b)) |
(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)) |
(/ a c) |
(/.f64 a c) |
(/ (+ a (/ (* b d) c)) c) |
(/.f64 (fma.f64 (/.f64 b c) d a) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (*.f64 (*.f64 d d) a) c)) c)) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (fma.f64 (*.f64 d d) a (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) c)) c)) c) |
(* a c) |
(*.f64 c a) |
(* a c) |
(*.f64 c a) |
(* a c) |
(*.f64 c a) |
(* a c) |
(*.f64 c a) |
(* a c) |
(*.f64 c a) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(fma.f64 c a (*.f64 d b)) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(fma.f64 c a (*.f64 d b)) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(fma.f64 c a (*.f64 d b)) |
(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)) |
(/ a c) |
(/.f64 a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(/.f64 (fma.f64 (/.f64 b c) d a) c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (*.f64 (*.f64 d d) a) c)) c)) c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(/.f64 (-.f64 a (/.f64 (fma.f64 (neg.f64 b) d (/.f64 (fma.f64 (*.f64 d d) a (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) c)) c)) c) |
(* a c) |
(*.f64 c a) |
(* a c) |
(*.f64 c a) |
(* a c) |
(*.f64 c a) |
(* a c) |
(*.f64 c a) |
(* a c) |
(*.f64 c a) |
(+ (* a c) (* b d)) |
(fma.f64 c a (*.f64 d b)) |
(+ (* a c) (* b d)) |
(fma.f64 c a (*.f64 d b)) |
(+ (* a c) (* b d)) |
(fma.f64 c a (*.f64 d b)) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d)) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d)) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d)) |
(* b d) |
(*.f64 d b) |
(* b (+ d (/ (* a c) b))) |
(fma.f64 c a (*.f64 d b)) |
(* b (+ d (/ (* a c) b))) |
(fma.f64 c a (*.f64 d b)) |
(* b (+ d (/ (* a c) b))) |
(fma.f64 c a (*.f64 d b)) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(fma.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d)) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(fma.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d)) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(fma.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d)) |
(* b d) |
(*.f64 d b) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(fma.f64 c a (*.f64 d b)) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(fma.f64 c a (*.f64 d b)) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(fma.f64 c a (*.f64 d b)) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(fma.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d)) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(fma.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d)) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(fma.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d)) |
(* b d) |
(*.f64 d b) |
(+ (* a c) (* b d)) |
(fma.f64 c a (*.f64 d b)) |
(+ (* a c) (* b d)) |
(fma.f64 c a (*.f64 d b)) |
(+ (* a c) (* b d)) |
(fma.f64 c a (*.f64 d b)) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d)) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d)) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(fma.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d)) |
(* a c) |
(*.f64 c a) |
(* a c) |
(*.f64 c a) |
(* a c) |
(*.f64 c a) |
(* a c) |
(*.f64 c a) |
(* a c) |
(*.f64 c a) |
(* a (+ c (/ (* b d) a))) |
(fma.f64 c a (*.f64 d b)) |
(* a (+ c (/ (* b d) a))) |
(fma.f64 c a (*.f64 d b)) |
(* a (+ c (/ (* b d) a))) |
(fma.f64 c a (*.f64 d b)) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(fma.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d)) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(fma.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d)) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(fma.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d)) |
(* a c) |
(*.f64 c a) |
(* a c) |
(*.f64 c a) |
(* a c) |
(*.f64 c a) |
(* a c) |
(*.f64 c a) |
(* a c) |
(*.f64 c a) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(fma.f64 c a (*.f64 d b)) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(fma.f64 c a (*.f64 d b)) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(fma.f64 c a (*.f64 d b)) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(fma.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d)) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(fma.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d)) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(fma.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d)) |
(* a c) |
(*.f64 c a) |
(* a c) |
(*.f64 c a) |
(* a c) |
(*.f64 c a) |
(* a c) |
(*.f64 c a) |
(* a c) |
(*.f64 c a) |
(+ (* a c) (* b d)) |
(fma.f64 c a (*.f64 d b)) |
(+ (* a c) (* b d)) |
(fma.f64 c a (*.f64 d b)) |
(+ (* a c) (* b d)) |
(fma.f64 c a (*.f64 d 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)) |
(/ a c) |
(/.f64 a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(fma.f64 (/.f64 d (*.f64 c c)) b (/.f64 a c)) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(fma.f64 (fma.f64 (/.f64 d (pow.f64 c #s(literal 3 binary64))) (neg.f64 a) (/.f64 b (*.f64 c c))) d (/.f64 a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 d (pow.f64 c #s(literal 4 binary64))) b (/.f64 a (pow.f64 c #s(literal 3 binary64))))) d (/.f64 b (*.f64 c c))) d (/.f64 a c)) |
(* b d) |
(*.f64 d b) |
(* d (+ b (/ (* a c) d))) |
(fma.f64 c a (*.f64 d b)) |
(* d (+ b (/ (* a c) d))) |
(fma.f64 c a (*.f64 d b)) |
(* d (+ b (/ (* a c) d))) |
(fma.f64 c a (*.f64 d b)) |
(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)) |
(/ b d) |
(/.f64 b d) |
(/ (+ b (/ (* a c) d)) d) |
(/.f64 (fma.f64 (/.f64 a d) c b) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 c) a (/.f64 (*.f64 (*.f64 c b) c) d)) d)) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 c) a (/.f64 (fma.f64 (*.f64 c b) c (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) d)) d)) d)) d) |
(* b d) |
(*.f64 d b) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(fma.f64 c a (*.f64 d b)) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(fma.f64 c a (*.f64 d b)) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(fma.f64 c a (*.f64 d b)) |
(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)) |
(/ b d) |
(/.f64 b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(/.f64 (fma.f64 (/.f64 a d) c b) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 c) a (/.f64 (*.f64 (*.f64 c b) c) d)) d)) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 c) a (/.f64 (fma.f64 (*.f64 c b) c (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) d)) d)) d)) d) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 32 |
| 0 | 18 | 32 |
| 1 | 58 | 32 |
| 2 | 435 | 32 |
| 3 | 5073 | 32 |
| 0 | 8760 | 28 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 a c) (*.f64 b d)) |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(*.f64 a c) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 (*.f64 d b) #s(literal 3 binary64)))) (fma.f64 (*.f64 d b) (fma.f64 d b (*.f64 c a)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b)) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b)) (-.f64 (*.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (pow.f64 (*.f64 c a) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64)))) (fma.f64 d b (*.f64 c a))) |
(*.f64 (-.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 d b) (*.f64 c a)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (fma.f64 (neg.f64 d) b (*.f64 c a))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 d b (*.f64 c a)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) (*.f64 (pow.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) (pow.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 d b (*.f64 c a))) |
(*.f64 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 (fma.f64 d b (*.f64 c a)) (pow.f64 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))) |
(*.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 d b (*.f64 c a)) (*.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) (pow.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 d b (*.f64 c a)) (/.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) (fma.f64 (neg.f64 d) b (*.f64 c a)))) |
(*.f64 (fma.f64 d b (*.f64 c a)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (-.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal 1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) (pow.f64 (*.f64 d b) #s(literal 4 binary64))) (pow.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) #s(literal -1 binary64))) (+.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 6 binary64)) (pow.f64 (*.f64 d b) #s(literal 6 binary64))) (pow.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) (pow.f64 (*.f64 d b) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 d b) a) c) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 6 binary64)) (pow.f64 (*.f64 d b) #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 (*.f64 d b) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 9 binary64)) (pow.f64 (*.f64 c a) #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 c a) #s(literal 6 binary64)) (pow.f64 (*.f64 d b) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 d b) a) c) #s(literal 3 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a))) (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a))) (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 d b) (*.f64 c a)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 d) b (*.f64 c a))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))))) (fma.f64 (neg.f64 d) b (*.f64 c a))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))))) (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 d b) (*.f64 c a))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64)))) #s(literal 1 binary64)) (neg.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)))) |
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) #s(literal 1 binary64)) (neg.f64 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) (pow.f64 (*.f64 d b) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (fma.f64 (neg.f64 d) b (*.f64 c a)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 6 binary64)) (pow.f64 (*.f64 d b) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) (pow.f64 (*.f64 d b) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 d b) a) c) #s(literal 2 binary64))) (fma.f64 (neg.f64 d) b (*.f64 c a)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 6 binary64)) (pow.f64 (*.f64 d b) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 (*.f64 d b) #s(literal 3 binary64))) (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))) |
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(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) (fma.f64 d d (*.f64 c c))) (fma.f64 (neg.f64 d) b (*.f64 c a))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (fma.f64 d d (*.f64 c c))) (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) (pow.f64 (*.f64 d b) #s(literal 4 binary64))) (*.f64 (*.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) (+.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 6 binary64)) (pow.f64 (*.f64 d b) #s(literal 6 binary64))) (*.f64 (*.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) (+.f64 (+.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) (pow.f64 (*.f64 d b) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 d b) a) c) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 6 binary64)) (pow.f64 (*.f64 d b) #s(literal 6 binary64))) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (fma.f64 d d (*.f64 c c))) (-.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 (*.f64 d b) #s(literal 3 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (*.f64 (fma.f64 d d (*.f64 c c)) (-.f64 (*.f64 d b) (*.f64 c a)))) |
(/.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) (pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal -1 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 9 binary64)) (pow.f64 (*.f64 c a) #s(literal 9 binary64))) (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (fma.f64 d d (*.f64 c c))) (-.f64 (+.f64 (pow.f64 (*.f64 c a) #s(literal 6 binary64)) (pow.f64 (*.f64 d b) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 d b) a) c) #s(literal 3 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64)))) (neg.f64 (*.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) (fma.f64 d d (*.f64 c c))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64)))) (*.f64 (neg.f64 (fma.f64 d d (*.f64 c c))) (fma.f64 (neg.f64 d) b (*.f64 c a)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64)))) (*.f64 (fma.f64 d d (*.f64 c c)) (neg.f64 (fma.f64 (neg.f64 d) b (*.f64 c a))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (neg.f64 (*.f64 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (fma.f64 d d (*.f64 c c))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (*.f64 (neg.f64 (fma.f64 d d (*.f64 c c))) (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (*.f64 (fma.f64 d d (*.f64 c c)) (neg.f64 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (fma.f64 d b (*.f64 c a)) #s(literal -1 binary64)) (neg.f64 (fma.f64 d d (*.f64 c c))))) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (fma.f64 d d (*.f64 c c))) (fma.f64 d b (*.f64 c a)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) (*.f64 (neg.f64 (fma.f64 d d (*.f64 c c))) (neg.f64 (fma.f64 (neg.f64 d) b (*.f64 c a))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) (*.f64 (neg.f64 (fma.f64 (neg.f64 d) b (*.f64 c a))) (neg.f64 (fma.f64 d d (*.f64 c c))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) (*.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) (fma.f64 d d (*.f64 c c)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) (/.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 (*.f64 d b) #s(literal 2 binary64))) (fma.f64 d d (*.f64 c c))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (/.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (fma.f64 d d (*.f64 c c))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (*.f64 (neg.f64 (fma.f64 d d (*.f64 c c))) (neg.f64 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (*.f64 (neg.f64 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))) (neg.f64 (fma.f64 d d (*.f64 c c))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 d b) #s(literal 3 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (*.f64 (fma.f64 (-.f64 (*.f64 d b) (*.f64 c a)) (*.f64 d b) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (fma.f64 d d (*.f64 c c)))) |
(/.f64 (neg.f64 (fma.f64 d b (*.f64 c a))) (neg.f64 (fma.f64 d d (*.f64 c c)))) |
(/.f64 (fma.f64 d b (*.f64 c a)) (fma.f64 d d (*.f64 c c))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a))))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 d b (*.f64 c a))) (fma.f64 d d (*.f64 c c))))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 d b (*.f64 c a))) (fma.f64 d d (*.f64 c c)))) |
(fma.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 c c) (*.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 (neg.f64 d) d))) |
(fma.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (*.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (pow.f64 c #s(literal 4 binary64)))) |
(fma.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (pow.f64 c #s(literal 4 binary64)) (*.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))))) |
(fma.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) (*.f64 d b) (*.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) (*.f64 c a))) |
(fma.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) (*.f64 c a) (*.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) (*.f64 d b))) |
(fma.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (*.f64 (pow.f64 c #s(literal 4 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))))) |
(fma.f64 (pow.f64 c #s(literal 4 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (*.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))))) |
(fma.f64 (*.f64 c c) (/.f64 (fma.f64 d b (*.f64 c a)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 (*.f64 (neg.f64 d) d) (/.f64 (fma.f64 d b (*.f64 c a)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))))) |
(fma.f64 (*.f64 d b) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) (*.f64 (*.f64 c a) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 c a) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) (*.f64 (*.f64 d b) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) (fma.f64 d d (*.f64 c c)))) (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (*.f64 (fma.f64 (neg.f64 d) b (*.f64 c a)) (fma.f64 d d (*.f64 c c))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 d d (*.f64 c c)))) (/.f64 (neg.f64 (fma.f64 d b (*.f64 c a))) (fma.f64 d d (*.f64 c c)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a))) (fma.f64 d d (*.f64 c c))) (/.f64 (/.f64 (pow.f64 (*.f64 d b) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 c a))) (fma.f64 d d (*.f64 c c)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (fma.f64 d b (*.f64 c a))) (fma.f64 d d (*.f64 c c)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 d d (*.f64 c c)) (fma.f64 d b (*.f64 c a)))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 c c) (/.f64 (fma.f64 d b (*.f64 c a)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))))) (*.f64 (*.f64 (neg.f64 d) d) (/.f64 (fma.f64 d b (*.f64 c a)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))))) |
(+.f64 (*.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))))) (*.f64 (pow.f64 c #s(literal 4 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))))) |
(+.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64))))) (*.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))))) |
(+.f64 (*.f64 (*.f64 d b) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64))) (*.f64 (*.f64 c a) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (*.f64 c a) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64))) (*.f64 (*.f64 d b) (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 c c)) (*.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 (neg.f64 d) d))) |
(+.f64 (*.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64)))) (*.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (pow.f64 c #s(literal 4 binary64)))) |
(+.f64 (*.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (pow.f64 c #s(literal 4 binary64))) (*.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (+.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) (*.f64 d b)) (*.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) (*.f64 c a))) |
(+.f64 (*.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) (*.f64 c a)) (*.f64 (pow.f64 (fma.f64 d d (*.f64 c c)) #s(literal -1 binary64)) (*.f64 d b))) |
(*.f64 (exp.f64 (log.f64 a)) c) |
(*.f64 c (exp.f64 (log.f64 a))) |
(*.f64 c a) |
(*.f64 a c) |
(pow.f64 (*.f64 c a) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 c a)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 c a))) |
Compiled 12 761 to 1 055 computations (91.7% saved)
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 471 | 12 | 483 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 472 | 12 | 484 |
| Status | Accuracy | Program |
|---|---|---|
| 33.4% | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| ▶ | 36.4% | (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| ▶ | 61.1% | (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (neg.f64 (fma.f64 d b (*.f64 c a)))) |
| 38.1% | (*.f64 (*.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (+.f64 d c)) (-.f64 c d)) | |
| 55.1% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d))) | |
| 50.9% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) | |
| ▶ | 57.0% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
| 48.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 c) a (/.f64 (*.f64 (*.f64 c b) c) d)) d)) d)) | |
| 44.5% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) | |
| ▶ | 43.3% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
| 36.3% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d)) | |
| ▶ | 41.2% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c)) |
Compiled 278 to 230 computations (17.3% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 d b) | |
| cost-diff | 0 | #s(approx (+ (* a c) (* b d)) (*.f64 d b)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) | |
| cost-diff | 128 | (+.f64 (*.f64 c c) (*.f64 d d)) | |
| cost-diff | 0 | (/.f64 a d) | |
| cost-diff | 0 | (fma.f64 (/.f64 a d) c b) | |
| cost-diff | 0 | (/.f64 (fma.f64 (/.f64 a d) c b) d) | |
| cost-diff | 0 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) | |
| cost-diff | 0 | (fma.f64 c c (*.f64 d d)) | |
| cost-diff | 0 | (/.f64 a (fma.f64 c c (*.f64 d d))) | |
| cost-diff | 0 | (*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c) | |
| cost-diff | 0 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c)) | |
| cost-diff | 0 | (/.f64 a c) | |
| cost-diff | 0 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) | |
| cost-diff | 0 | (*.f64 c c) | |
| cost-diff | 0 | (fma.f64 d d (*.f64 c c)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) | |
| cost-diff | 448 | (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (neg.f64 (fma.f64 d b (*.f64 c a)))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 223 |
| 0 | 53 | 218 |
| 1 | 78 | 217 |
| 2 | 143 | 215 |
| 3 | 375 | 215 |
| 4 | 769 | 215 |
| 5 | 1341 | 215 |
| 6 | 2556 | 215 |
| 7 | 3018 | 215 |
| 8 | 3247 | 215 |
| 9 | 3521 | 215 |
| 10 | 3582 | 215 |
| 11 | 3666 | 215 |
| 12 | 3880 | 215 |
| 13 | 4083 | 215 |
| 14 | 4655 | 215 |
| 15 | 4687 | 215 |
| 16 | 4687 | 215 |
| 17 | 4687 | 215 |
| 18 | 4687 | 215 |
| 0 | 4687 | 215 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (neg.f64 (fma.f64 d b (*.f64 c a)))) |
(/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) |
#s(literal -1 binary64) |
(fma.f64 d d (*.f64 c c)) |
d |
(*.f64 c c) |
c |
(neg.f64 (fma.f64 d b (*.f64 c a))) |
(fma.f64 d b (*.f64 c a)) |
b |
(*.f64 c a) |
a |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
(/.f64 a c) |
a |
c |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c)) |
(*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c) |
(/.f64 a (fma.f64 c c (*.f64 d d))) |
a |
(fma.f64 c c (*.f64 d d)) |
c |
(*.f64 d d) |
d |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
(/.f64 (fma.f64 (/.f64 a d) c b) d) |
(fma.f64 (/.f64 a d) c b) |
(/.f64 a d) |
a |
d |
c |
b |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) |
#s(approx (+ (* a c) (* b d)) (*.f64 d b)) |
(*.f64 d b) |
d |
b |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(*.f64 c c) |
c |
(*.f64 d d) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (neg.f64 (fma.f64 d b (*.f64 c a)))) |
(/.f64 (fma.f64 b d (*.f64 a c)) (fma.f64 c c (*.f64 d d))) |
(/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) |
(/.f64 #s(literal -1 binary64) (fma.f64 c c (*.f64 d d))) |
#s(literal -1 binary64) |
(fma.f64 d d (*.f64 c c)) |
(fma.f64 c c (*.f64 d d)) |
d |
(*.f64 c c) |
c |
(neg.f64 (fma.f64 d b (*.f64 c a))) |
(neg.f64 (fma.f64 b d (*.f64 a c))) |
(fma.f64 d b (*.f64 c a)) |
(fma.f64 b d (*.f64 a c)) |
b |
(*.f64 c a) |
(*.f64 a c) |
a |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
(/.f64 a c) |
a |
c |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c)) |
(*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c) |
(/.f64 a (fma.f64 c c (*.f64 d d))) |
a |
(fma.f64 c c (*.f64 d d)) |
c |
(*.f64 d d) |
d |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
(/.f64 (fma.f64 (/.f64 a d) c b) d) |
(fma.f64 (/.f64 a d) c b) |
(/.f64 a d) |
a |
d |
c |
b |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 b d)) (fma.f64 c c (*.f64 d d))) |
#s(approx (+ (* a c) (* b d)) (*.f64 d b)) |
#s(approx (+ (* a c) (* b d)) (*.f64 b d)) |
(*.f64 d b) |
(*.f64 b d) |
d |
b |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(fma.f64 c c (*.f64 d d)) |
(*.f64 c c) |
c |
(*.f64 d d) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 c c) | |
| accuracy | 0.00390625 | (+.f64 (*.f64 c c) (*.f64 d d)) | |
| accuracy | 24.659730245057833 | (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) | |
| accuracy | 30.689701508663305 | #s(approx (+ (* a c) (* b d)) (*.f64 d b)) | |
| accuracy | 0 | (/.f64 a d) | |
| accuracy | 0.9961768911532698 | (/.f64 (fma.f64 (/.f64 a d) c b) d) | |
| accuracy | 3.10689543146254 | (fma.f64 (/.f64 a d) c b) | |
| accuracy | 27.21477838820025 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) | |
| accuracy | 0.00390625 | (fma.f64 c c (*.f64 d d)) | |
| accuracy | 7.577887417314192 | (/.f64 a (fma.f64 c c (*.f64 d d))) | |
| accuracy | 9.224468148091779 | (*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c) | |
| accuracy | 27.41782186166211 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c)) | |
| accuracy | 0 | (/.f64 a c) | |
| accuracy | 36.294478199922146 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) | |
| accuracy | 0 | (neg.f64 (fma.f64 d b (*.f64 c a))) | |
| accuracy | 0.7538979928166807 | (fma.f64 d b (*.f64 c a)) | |
| accuracy | 0.8664541147119283 | (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) | |
| accuracy | 24.26669682586483 | (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (neg.f64 (fma.f64 d b (*.f64 c a)))) |
| 70.0ms | 256× | 0 | valid |
Compiled 209 to 28 computations (86.6% saved)
ival-mult: 18.0ms (47.3% of total)ival-div: 14.0ms (36.8% of total)ival-add: 5.0ms (13.1% of total)ival-neg: 1.0ms (2.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (neg.f64 (fma.f64 d b (*.f64 c a)))) (patch (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (neg.f64 (fma.f64 d b (*.f64 c a)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ()) |
#s(alt (fma.f64 d d (*.f64 c c)) (patch (fma.f64 d d (*.f64 c c)) #<representation binary64>) () ()) |
#s(alt (*.f64 c c) (patch (*.f64 c c) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #<representation binary64>) () ()) |
#s(alt (/.f64 a c) (patch (/.f64 a c) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c) (patch (*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c) #<representation binary64>) () ()) |
#s(alt (/.f64 a (fma.f64 c c (*.f64 d d))) (patch (/.f64 a (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ()) |
#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (/.f64 a d) c b) d) (patch (/.f64 (fma.f64 (/.f64 a d) c b) d) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 a d) c b) (patch (fma.f64 (/.f64 a d) c b) #<representation binary64>) () ()) |
#s(alt (/.f64 a d) (patch (/.f64 a d) #<representation binary64>) () ()) |
#s(alt (+.f64 (*.f64 c c) (*.f64 d d)) (patch (+.f64 (*.f64 c c) (*.f64 d d)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (patch #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #<representation binary64>) () ()) |
#s(alt (*.f64 d b) (patch (*.f64 d b) #<representation binary64>) () ()) |
#s(alt (fma.f64 d b (*.f64 c a)) (patch (fma.f64 d b (*.f64 c a)) #<representation binary64>) () ()) |
#s(alt (neg.f64 (fma.f64 d b (*.f64 c a))) (patch (neg.f64 (fma.f64 d b (*.f64 c a))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ b d) (taylor 0 c) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (neg.f64 (fma.f64 d b (*.f64 c a)))) (patch (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (neg.f64 (fma.f64 d b (*.f64 c a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (neg.f64 (fma.f64 d b (*.f64 c a)))) (patch (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (neg.f64 (fma.f64 d b (*.f64 c a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (neg.f64 (fma.f64 d b (*.f64 c a)))) (patch (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (neg.f64 (fma.f64 d b (*.f64 c a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (neg.f64 (fma.f64 d b (*.f64 c a)))) (patch (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (neg.f64 (fma.f64 d b (*.f64 c a)))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (pow d 2)) (taylor 0 c) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (- (/ (pow c 2) (pow d 4)) (/ 1 (pow d 2))) (taylor 0 c) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 6))) (/ 1 (pow d 4)))) (/ 1 (pow d 2))) (taylor 0 c) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (- (* (pow c 2) (+ (* (pow c 2) (- (/ (pow c 2) (pow d 8)) (/ 1 (pow d 6)))) (/ 1 (pow d 4)))) (/ 1 (pow d 2))) (taylor 0 c) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (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 (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 (/ b d) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #<representation binary64>) () ())) ()) |
#s(alt (/ a c) (taylor 0 c) (#s(alt (/.f64 a c) (patch (/.f64 a c) #<representation binary64>) () ())) ()) |
#s(alt (/ a c) (taylor 0 c) (#s(alt (/.f64 a c) (patch (/.f64 a c) #<representation binary64>) () ())) ()) |
#s(alt (/ a c) (taylor 0 c) (#s(alt (/.f64 a c) (patch (/.f64 a c) #<representation binary64>) () ())) ()) |
#s(alt (/ a c) (taylor 0 c) (#s(alt (/.f64 a c) (patch (/.f64 a c) #<representation binary64>) () ())) ()) |
#s(alt (/ b d) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) (pow d 2)) (taylor 0 c) (#s(alt (*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c) (patch (*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2)))) (taylor 0 c) (#s(alt (*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c) (patch (*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2)))) (taylor 0 c) (#s(alt (*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c) (patch (*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* a (pow c 2)) (pow d 8))) (* -1 (/ a (pow d 6))))) (/ a (pow d 4)))) (/ a (pow d 2)))) (taylor 0 c) (#s(alt (*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c) (patch (*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c) #<representation binary64>) () ())) ()) |
#s(alt (/ a (pow d 2)) (taylor 0 c) (#s(alt (/.f64 a (fma.f64 c c (*.f64 d d))) (patch (/.f64 a (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2))) (taylor 0 c) (#s(alt (/.f64 a (fma.f64 c c (*.f64 d d))) (patch (/.f64 a (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2))) (taylor 0 c) (#s(alt (/.f64 a (fma.f64 c c (*.f64 d d))) (patch (/.f64 a (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* a (pow c 2)) (pow d 8))) (* -1 (/ a (pow d 6))))) (/ a (pow d 4)))) (/ a (pow d 2))) (taylor 0 c) (#s(alt (/.f64 a (fma.f64 c c (*.f64 d d))) (patch (/.f64 a (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (pow d 2) (taylor 0 c) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (/ b d) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) #<representation binary64>) () ())) ()) |
#s(alt (/ b d) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (/.f64 a d) c b) d) (patch (/.f64 (fma.f64 (/.f64 a d) c b) d) #<representation binary64>) () ())) ()) |
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#s(alt (/ (- (/ (pow c 6) (pow d 6)) (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (pow c 4) (pow d 4))))) (pow d 2)) (taylor -inf d) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (pow d 2) (taylor -inf d) (#s(alt (fma.f64 d d (*.f64 c c)) (patch (fma.f64 d d (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt (fma.f64 d d (*.f64 c c)) (patch (fma.f64 d d (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt (fma.f64 d d (*.f64 c c)) (patch (fma.f64 d d (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt (fma.f64 d d (*.f64 c c)) (patch (fma.f64 d d (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (/ b d) (taylor -inf d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #<representation binary64>) () ())) ()) |
#s(alt (/ b d) (taylor -inf d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) (pow d 2)) (taylor -inf d) (#s(alt (*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c) (patch (*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2)) (taylor -inf d) (#s(alt (*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c) (patch (*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2)) (taylor -inf d) (#s(alt (*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c) (patch (*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* -1 (/ (* a (pow c 7)) (pow d 6))) (* a c)) (+ (* -1 (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2)))) (pow d 2)) (taylor -inf d) (#s(alt (*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c) (patch (*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c) #<representation binary64>) () ())) ()) |
#s(alt (/ a (pow d 2)) (taylor -inf d) (#s(alt (/.f64 a (fma.f64 c c (*.f64 d d))) (patch (/.f64 a (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ a (* -1 (/ (* a (pow c 2)) (pow d 2)))) (pow d 2)) (taylor -inf d) (#s(alt (/.f64 a (fma.f64 c c (*.f64 d d))) (patch (/.f64 a (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ a (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2))) (pow d 2)) (taylor -inf d) (#s(alt (/.f64 a (fma.f64 c c (*.f64 d d))) (patch (/.f64 a (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ a (* -1 (/ (* a (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2)))) (pow d 2)) (taylor -inf d) (#s(alt (/.f64 a (fma.f64 c c (*.f64 d d))) (patch (/.f64 a (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (pow d 2) (taylor -inf d) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) (taylor -inf d) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (/ b d) (taylor -inf d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) (taylor -inf d) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) #<representation binary64>) () ())) ()) |
#s(alt (/ b d) (taylor -inf d) (#s(alt (/.f64 (fma.f64 (/.f64 a d) c b) d) (patch (/.f64 (fma.f64 (/.f64 a d) c b) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) (taylor -inf d) (#s(alt (/.f64 (fma.f64 (/.f64 a d) c b) d) (patch (/.f64 (fma.f64 (/.f64 a d) c b) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) (taylor -inf d) (#s(alt (/.f64 (fma.f64 (/.f64 a d) c b) d) (patch (/.f64 (fma.f64 (/.f64 a d) c b) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) (taylor -inf d) (#s(alt (/.f64 (fma.f64 (/.f64 a d) c b) d) (patch (/.f64 (fma.f64 (/.f64 a d) c b) d) #<representation binary64>) () ())) ()) |
#s(alt b (taylor -inf d) (#s(alt (fma.f64 (/.f64 a d) c b) (patch (fma.f64 (/.f64 a d) c b) #<representation binary64>) () ())) ()) |
#s(alt (+ b (/ (* a c) d)) (taylor -inf d) (#s(alt (fma.f64 (/.f64 a d) c b) (patch (fma.f64 (/.f64 a d) c b) #<representation binary64>) () ())) ()) |
#s(alt (+ b (/ (* a c) d)) (taylor -inf d) (#s(alt (fma.f64 (/.f64 a d) c b) (patch (fma.f64 (/.f64 a d) c b) #<representation binary64>) () ())) ()) |
#s(alt (+ b (/ (* a c) d)) (taylor -inf d) (#s(alt (fma.f64 (/.f64 a d) c b) (patch (fma.f64 (/.f64 a d) c b) #<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 (/ b d) (taylor -inf d) (#s(alt (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) (taylor -inf d) (#s(alt (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) (taylor -inf d) (#s(alt (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) (taylor -inf d) (#s(alt (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) (patch (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* b d) (taylor -inf d) (#s(alt #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (patch #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) (taylor -inf d) (#s(alt #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (patch #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) (taylor -inf d) (#s(alt #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (patch #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) (taylor -inf d) (#s(alt #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (patch #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #<representation binary64>) () ())) ()) |
#s(alt (* b d) (taylor -inf d) (#s(alt (*.f64 d b) (patch (*.f64 d b) #<representation binary64>) () ())) ()) |
#s(alt (* b d) (taylor -inf d) (#s(alt (*.f64 d b) (patch (*.f64 d b) #<representation binary64>) () ())) ()) |
#s(alt (* b d) (taylor -inf d) (#s(alt (*.f64 d b) (patch (*.f64 d b) #<representation binary64>) () ())) ()) |
#s(alt (* b d) (taylor -inf d) (#s(alt (*.f64 d b) (patch (*.f64 d b) #<representation binary64>) () ())) ()) |
#s(alt (* b d) (taylor -inf d) (#s(alt (fma.f64 d b (*.f64 c a)) (patch (fma.f64 d b (*.f64 c a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) (taylor -inf d) (#s(alt (fma.f64 d b (*.f64 c a)) (patch (fma.f64 d b (*.f64 c a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) (taylor -inf d) (#s(alt (fma.f64 d b (*.f64 c a)) (patch (fma.f64 d b (*.f64 c a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) (taylor -inf d) (#s(alt (fma.f64 d b (*.f64 c a)) (patch (fma.f64 d b (*.f64 c a)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* b d)) (taylor -inf d) (#s(alt (neg.f64 (fma.f64 d b (*.f64 c a))) (patch (neg.f64 (fma.f64 d b (*.f64 c a))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (- (/ (* a c) d) (* -1 b)))) (taylor -inf d) (#s(alt (neg.f64 (fma.f64 d b (*.f64 c a))) (patch (neg.f64 (fma.f64 d b (*.f64 c a))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (- (/ (* a c) d) (* -1 b)))) (taylor -inf d) (#s(alt (neg.f64 (fma.f64 d b (*.f64 c a))) (patch (neg.f64 (fma.f64 d b (*.f64 c a))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (- (/ (* a c) d) (* -1 b)))) (taylor -inf d) (#s(alt (neg.f64 (fma.f64 d b (*.f64 c a))) (patch (neg.f64 (fma.f64 d b (*.f64 c a))) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | a | @ | inf | ((* (/ -1 (+ (* d d) (* c c))) (neg (+ (* d b) (* c a)))) (/ -1 (+ (* d d) (* c c))) (+ (* d d) (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ a (+ (* c c) (* d d))) c) (/ a (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ a d) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* d b) (* c a)) (neg (+ (* d b) (* c a)))) |
| 3.0ms | a | @ | -inf | ((* (/ -1 (+ (* d d) (* c c))) (neg (+ (* d b) (* c a)))) (/ -1 (+ (* d d) (* c c))) (+ (* d d) (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ a (+ (* c c) (* d d))) c) (/ a (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ a d) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* d b) (* c a)) (neg (+ (* d b) (* c a)))) |
| 3.0ms | d | @ | -inf | ((* (/ -1 (+ (* d d) (* c c))) (neg (+ (* d b) (* c a)))) (/ -1 (+ (* d d) (* c c))) (+ (* d d) (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ a (+ (* c c) (* d d))) c) (/ a (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ a d) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* d b) (* c a)) (neg (+ (* d b) (* c a)))) |
| 3.0ms | a | @ | 0 | ((* (/ -1 (+ (* d d) (* c c))) (neg (+ (* d b) (* c a)))) (/ -1 (+ (* d d) (* c c))) (+ (* d d) (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ a (+ (* c c) (* d d))) c) (/ a (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ a d) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* d b) (* c a)) (neg (+ (* d b) (* c a)))) |
| 2.0ms | c | @ | inf | ((* (/ -1 (+ (* d d) (* c c))) (neg (+ (* d b) (* c a)))) (/ -1 (+ (* d d) (* c c))) (+ (* d d) (* c c)) (* c c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ a c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ a (+ (* c c) (* d d))) c) (/ a (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ a d) c) b) d) (+ (* (/ a d) c) b) (/ a d) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* d b) (* c a)) (neg (+ (* d b) (* c a)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 453 | 8840 |
| 1 | 1411 | 8712 |
| 2 | 4230 | 8570 |
| 0 | 8244 | 7912 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(/ -1 (pow d 2)) |
(- (/ (pow c 2) (pow d 4)) (/ 1 (pow d 2))) |
(- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 6))) (/ 1 (pow d 4)))) (/ 1 (pow d 2))) |
(- (* (pow c 2) (+ (* (pow c 2) (- (/ (pow c 2) (pow d 8)) (/ 1 (pow d 6)))) (/ 1 (pow d 4)))) (/ 1 (pow d 2))) |
(pow d 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(/ (* a c) (pow d 2)) |
(* c (+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2)))) |
(* c (+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2)))) |
(* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* a (pow c 2)) (pow d 8))) (* -1 (/ a (pow d 6))))) (/ a (pow d 4)))) (/ a (pow d 2)))) |
(/ a (pow d 2)) |
(+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2))) |
(+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2))) |
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* a (pow c 2)) (pow d 8))) (* -1 (/ a (pow d 6))))) (/ a (pow d 4)))) (/ a (pow d 2))) |
(pow d 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
b |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(pow d 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(* b d) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(* b d) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(* -1 (* b d)) |
(- (* -1 (* a c)) (* b d)) |
(- (* -1 (* a c)) (* b d)) |
(- (* -1 (* a c)) (* b d)) |
(/ a c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/ -1 (pow c 2)) |
(/ (- (/ (pow d 2) (pow c 2)) 1) (pow c 2)) |
(/ (- (* -1 (/ (pow d 4) (pow c 4))) (+ 1 (* -1 (/ (pow d 2) (pow c 2))))) (pow c 2)) |
(/ (- (/ (pow d 6) (pow c 6)) (+ 1 (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (pow d 4) (pow c 4))))) (pow c 2)) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(/ a c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/ a c) |
(/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) c) |
(/ (- (+ a (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/ (- (+ a (* -1 (/ (* a (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c) |
(/ a (pow c 2)) |
(/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) (pow c 2)) |
(/ (- (+ a (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2))) (pow c 2)) |
(/ (- (+ a (* -1 (/ (* a (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) (pow c 2)) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(/ a c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/ (* a c) (pow d 2)) |
(* c (+ (/ a (pow d 2)) (/ b (* c d)))) |
(* c (+ (/ a (pow d 2)) (/ b (* c d)))) |
(* c (+ (/ a (pow d 2)) (/ b (* c d)))) |
(/ (* a c) d) |
(* c (+ (/ a d) (/ b c))) |
(* c (+ (/ a d) (/ b c))) |
(* c (+ (/ a d) (/ 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)))) |
(/ a c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(* a c) |
(* c (+ a (/ (* b d) c))) |
(* c (+ a (/ (* b d) c))) |
(* c (+ a (/ (* b d) c))) |
(* a c) |
(* c (+ a (/ (* b d) c))) |
(* c (+ a (/ (* b d) c))) |
(* c (+ a (/ (* b d) c))) |
(* -1 (* a c)) |
(* c (- (* -1 (/ (* b d) c)) a)) |
(* c (- (* -1 (/ (* b d) c)) a)) |
(* c (- (* -1 (/ (* b d) c)) a)) |
(/ a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(/ -1 (pow c 2)) |
(/ (- (/ (pow d 2) (pow c 2)) 1) (pow c 2)) |
(/ (- (* -1 (/ (pow d 4) (pow c 4))) (+ 1 (* -1 (/ (pow d 2) (pow c 2))))) (pow c 2)) |
(/ (- (/ (pow d 6) (pow c 6)) (+ 1 (+ (* -1 (/ (pow d 2) (pow c 2))) (/ (pow d 4) (pow c 4))))) (pow c 2)) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(pow c 2) |
(/ a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(/ a c) |
(* -1 (/ (+ (* -1 a) (/ (* a (pow d 2)) (pow c 2))) c)) |
(* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c)) |
(* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (+ (/ (* a (pow d 2)) (pow c 2)) (/ (* a (pow d 6)) (pow c 6))))) c)) |
(/ a (pow c 2)) |
(/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) (pow c 2)) |
(/ (- (+ a (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2))) (pow c 2)) |
(/ (- (+ a (* -1 (/ (* a (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) (pow c 2)) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(/ a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(/ (* a c) (pow d 2)) |
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))))) |
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))))) |
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))))) |
(/ (* a c) d) |
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ 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)))) |
(/ a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(* a c) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(* a c) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(* -1 (* a c)) |
(* -1 (* c (- (/ (* b d) c) (* -1 a)))) |
(* -1 (* c (- (/ (* b d) c) (* -1 a)))) |
(* -1 (* c (- (/ (* b d) c) (* -1 a)))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* a c) (pow d 2)) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(/ (* a c) d) |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(* a c) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* a c) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(* -1 (* a c)) |
(- (* -1 (* b d)) (* a c)) |
(- (* -1 (* b d)) (* a c)) |
(- (* -1 (* b d)) (* a c)) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(/ b d) |
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))) |
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))) |
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))) |
b |
(* b (+ 1 (/ (* a c) (* b d)))) |
(* b (+ 1 (/ (* a c) (* b d)))) |
(* b (+ 1 (/ (* a c) (* b d)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b d) |
(* b (+ d (/ (* a c) b))) |
(* b (+ d (/ (* a c) b))) |
(* b (+ d (/ (* a c) b))) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b (+ d (/ (* a c) b))) |
(* b (+ d (/ (* a c) b))) |
(* b (+ d (/ (* a c) b))) |
(* -1 (* b d)) |
(* b (- (* -1 (/ (* a c) b)) d)) |
(* b (- (* -1 (/ (* a c) b)) d)) |
(* b (- (* -1 (/ (* a c) b)) d)) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(/ b d) |
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)))) |
b |
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* b d) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* -1 (* b d)) |
(* -1 (* b (- (/ (* a c) b) (* -1 d)))) |
(* -1 (* b (- (/ (* a c) b) (* -1 d)))) |
(* -1 (* b (- (/ (* a c) b) (* -1 d)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ a (+ (pow c 2) (pow d 2))) |
(/ a (+ (pow c 2) (pow d 2))) |
(/ a (+ (pow c 2) (pow d 2))) |
(/ a (+ (pow c 2) (pow d 2))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
b |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(/ a d) |
(/ a d) |
(/ a d) |
(/ a d) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(* b d) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(* b d) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(* -1 (* b d)) |
(- (* -1 (* a c)) (* b d)) |
(- (* -1 (* a c)) (* b d)) |
(- (* -1 (* a c)) (* b d)) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ a (+ (pow c 2) (pow d 2))) |
(/ a (+ (pow c 2) (pow d 2))) |
(/ a (+ (pow c 2) (pow d 2))) |
(/ a (+ (pow c 2) (pow d 2))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(/ (* a c) (pow d 2)) |
(* a (+ (/ b (* a d)) (/ c (pow d 2)))) |
(* a (+ (/ b (* a d)) (/ c (pow d 2)))) |
(* a (+ (/ b (* a d)) (/ c (pow d 2)))) |
(/ (* a c) d) |
(* a (+ (/ b a) (/ c d))) |
(* a (+ (/ b a) (/ c d))) |
(* a (+ (/ b a) (/ c d))) |
(/ a d) |
(/ a d) |
(/ a d) |
(/ a d) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a c) |
(* a (+ c (/ (* b d) a))) |
(* a (+ c (/ (* b d) a))) |
(* a (+ c (/ (* b d) a))) |
(* a c) |
(* a (+ c (/ (* b d) a))) |
(* a (+ c (/ (* b d) a))) |
(* a (+ c (/ (* b d) a))) |
(* -1 (* a c)) |
(* a (- (* -1 (/ (* b d) a)) c)) |
(* a (- (* -1 (/ (* b d) a)) c)) |
(* a (- (* -1 (/ (* b d) a)) c)) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ a (+ (pow c 2) (pow d 2))) |
(/ a (+ (pow c 2) (pow d 2))) |
(/ a (+ (pow c 2) (pow d 2))) |
(/ a (+ (pow c 2) (pow d 2))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(/ (* a c) (pow d 2)) |
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2)))))) |
(/ (* a c) d) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d))))) |
(/ a d) |
(/ a d) |
(/ a d) |
(/ a d) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* a c) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(* a c) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(* -1 (* a c)) |
(* -1 (* a (- (/ (* b d) a) (* -1 c)))) |
(* -1 (* a (- (/ (* b d) a) (* -1 c)))) |
(* -1 (* a (- (/ (* b d) a) (* -1 c)))) |
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(/ -1 (pow c 2)) |
(- (/ (pow d 2) (pow c 4)) (/ 1 (pow c 2))) |
(- (* (pow d 2) (+ (* -1 (/ (pow d 2) (pow c 6))) (/ 1 (pow c 4)))) (/ 1 (pow c 2))) |
(- (* (pow d 2) (+ (* (pow d 2) (- (/ (pow d 2) (pow c 8)) (/ 1 (pow c 6)))) (/ 1 (pow c 4)))) (/ 1 (pow c 2))) |
(pow c 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(/ a c) |
(+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c)) |
(+ (* (pow d 2) (- (/ (* a (pow d 2)) (pow c 5)) (/ a (pow c 3)))) (/ a c)) |
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* a (pow d 2)) (pow c 7))) (* -1 (/ a (pow c 5))))) (/ a (pow c 3)))) (/ a c)) |
(/ a (pow c 2)) |
(+ (* -1 (/ (* a (pow d 2)) (pow c 4))) (/ a (pow c 2))) |
(+ (* (pow d 2) (- (/ (* a (pow d 2)) (pow c 6)) (/ a (pow c 4)))) (/ a (pow c 2))) |
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* a (pow d 2)) (pow c 8))) (* -1 (/ a (pow c 6))))) (/ a (pow c 4)))) (/ a (pow c 2))) |
(pow c 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(/ (* a c) (pow d 2)) |
(/ (+ (* a c) (* b d)) (pow d 2)) |
(/ (+ (* a c) (* b d)) (pow d 2)) |
(/ (+ (* a c) (* b d)) (pow d 2)) |
(/ (* a c) d) |
(/ (+ (* a c) (* b d)) d) |
(/ (+ (* a c) (* b d)) d) |
(/ (+ (* a c) (* b d)) 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)) |
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(* a c) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* a c) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(* -1 (* a c)) |
(- (* -1 (* b d)) (* a c)) |
(- (* -1 (* b d)) (* a c)) |
(- (* -1 (* b d)) (* a c)) |
(/ b d) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/ -1 (pow d 2)) |
(/ (- (/ (pow c 2) (pow d 2)) 1) (pow d 2)) |
(/ (- (* -1 (/ (pow c 4) (pow d 4))) (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) (pow d 2)) |
(/ (- (/ (pow c 6) (pow d 6)) (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (pow c 4) (pow d 4))))) (pow d 2)) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(/ b d) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/ b d) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/ (* a c) (pow d 2)) |
(/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2)) |
(/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2)) |
(/ (- (+ (* -1 (/ (* a (pow c 7)) (pow d 6))) (* a c)) (+ (* -1 (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2)))) (pow d 2)) |
(/ a (pow d 2)) |
(/ (+ a (* -1 (/ (* a (pow c 2)) (pow d 2)))) (pow d 2)) |
(/ (- (+ a (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2))) (pow d 2)) |
(/ (- (+ a (* -1 (/ (* a (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2)))) (pow d 2)) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(/ b d) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/ b d) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (/ (* a c) d)) d) |
b |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(/ 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)))) |
(/ b d) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(* b d) |
(* d (+ b (/ (* a c) d))) |
(* d (+ b (/ (* a c) d))) |
(* d (+ b (/ (* a c) d))) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* d (+ b (/ (* a c) d))) |
(* d (+ b (/ (* a c) d))) |
(* d (+ b (/ (* a c) d))) |
(* -1 (* b d)) |
(* d (- (* -1 (/ (* a c) d)) b)) |
(* d (- (* -1 (/ (* a c) d)) b)) |
(* d (- (* -1 (/ (* a c) d)) b)) |
(/ b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(/ -1 (pow d 2)) |
(/ (- (/ (pow c 2) (pow d 2)) 1) (pow d 2)) |
(/ (- (* -1 (/ (pow c 4) (pow d 4))) (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) (pow d 2)) |
(/ (- (/ (pow c 6) (pow d 6)) (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (pow c 4) (pow d 4))))) (pow d 2)) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(/ b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(/ b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(/ (* a c) (pow d 2)) |
(/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2)) |
(/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2)) |
(/ (- (+ (* -1 (/ (* a (pow c 7)) (pow d 6))) (* a c)) (+ (* -1 (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2)))) (pow d 2)) |
(/ a (pow d 2)) |
(/ (+ a (* -1 (/ (* a (pow c 2)) (pow d 2)))) (pow d 2)) |
(/ (- (+ a (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2))) (pow d 2)) |
(/ (- (+ a (* -1 (/ (* a (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2)))) (pow d 2)) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(/ b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(/ b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
b |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(/ 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)))) |
(/ b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(* b d) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(* -1 (* b d)) |
(* -1 (* d (- (/ (* a c) d) (* -1 b)))) |
(* -1 (* d (- (/ (* a c) d) (* -1 b)))) |
(* -1 (* d (- (/ (* a c) d) (* -1 b)))) |
| Outputs |
|---|
(/ b d) |
(/.f64 b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d)) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 3 binary64))) (neg.f64 b) (/.f64 a (*.f64 d d))) c (/.f64 b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) a (/.f64 b (pow.f64 d #s(literal 3 binary64))))) c (/.f64 a (*.f64 d d))) c (/.f64 b d)) |
(/ -1 (pow d 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 d d)) |
(- (/ (pow c 2) (pow d 4)) (/ 1 (pow d 2))) |
(fma.f64 c (/.f64 c (pow.f64 d #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 d d))) |
(- (* (pow c 2) (+ (* -1 (/ (pow c 2) (pow d 6))) (/ 1 (pow d 4)))) (/ 1 (pow d 2))) |
(-.f64 (fma.f64 c (/.f64 c (pow.f64 d #s(literal 4 binary64))) (/.f64 (neg.f64 (pow.f64 c #s(literal 4 binary64))) (pow.f64 d #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 d d))) |
(- (* (pow c 2) (+ (* (pow c 2) (- (/ (pow c 2) (pow d 8)) (/ 1 (pow d 6)))) (/ 1 (pow d 4)))) (/ 1 (pow d 2))) |
(fma.f64 (pow.f64 c #s(literal 4 binary64)) (fma.f64 c (/.f64 c (pow.f64 d #s(literal 8 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 d #s(literal 6 binary64)))) (fma.f64 c (/.f64 c (pow.f64 d #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 d d)))) |
(pow d 2) |
(*.f64 d d) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(pow c 2) |
(*.f64 c c) |
(pow c 2) |
(*.f64 c c) |
(pow c 2) |
(*.f64 c c) |
(pow c 2) |
(*.f64 c c) |
(/ b d) |
(/.f64 b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d)) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 3 binary64))) (neg.f64 b) (/.f64 a (*.f64 d d))) c (/.f64 b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
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(* (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) |
(/ b d) |
(/.f64 b d) |
(/ (+ b (/ (* a c) d)) d) |
(/.f64 (fma.f64 (/.f64 c d) a b) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 c (/.f64 c (neg.f64 d))) b (*.f64 c a)) d) b) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/.f64 (+.f64 (fma.f64 (pow.f64 (/.f64 c d) #s(literal 3 binary64)) (neg.f64 a) (/.f64 (fma.f64 (*.f64 c (/.f64 c (neg.f64 d))) b (*.f64 c a)) d)) b) d) |
(/ b d) |
(/.f64 b d) |
(/ (+ b (/ (* a c) d)) d) |
(/.f64 (fma.f64 (/.f64 c d) a b) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 c (/.f64 c (neg.f64 d))) b (*.f64 c a)) d) b) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/.f64 (+.f64 (fma.f64 (pow.f64 (/.f64 c d) #s(literal 3 binary64)) (neg.f64 a) (/.f64 (fma.f64 (*.f64 c (/.f64 c (neg.f64 d))) b (*.f64 c a)) d)) b) d) |
(/ (* a c) (pow d 2)) |
(*.f64 (/.f64 c (*.f64 d d)) a) |
(/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2)) |
(/.f64 (fma.f64 (pow.f64 (/.f64 c d) #s(literal 3 binary64)) (neg.f64 a) (/.f64 (*.f64 c a) d)) d) |
(/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2)) |
(/.f64 (-.f64 (/.f64 (*.f64 a (+.f64 (/.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 d #s(literal 4 binary64))) c)) d) (*.f64 (pow.f64 (/.f64 c d) #s(literal 3 binary64)) a)) d) |
(/ (- (+ (* -1 (/ (* a (pow c 7)) (pow d 6))) (* a c)) (+ (* -1 (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2)))) (pow d 2)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 (pow.f64 c #s(literal 7 binary64))) (pow.f64 d #s(literal 6 binary64))) a (*.f64 a (+.f64 (/.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 d #s(literal 4 binary64))) c))) d) (*.f64 (pow.f64 (/.f64 c d) #s(literal 3 binary64)) a)) d) |
(/ a (pow d 2)) |
(/.f64 a (*.f64 d d)) |
(/ (+ a (* -1 (/ (* a (pow c 2)) (pow d 2)))) (pow d 2)) |
(/.f64 (/.f64 (fma.f64 (*.f64 c (/.f64 c (*.f64 d d))) (neg.f64 a) a) d) d) |
(/ (- (+ a (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2))) (pow d 2)) |
(/.f64 (fma.f64 a (fma.f64 (neg.f64 c) (/.f64 c (*.f64 d d)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) a) (*.f64 d d)) |
(/ (- (+ a (* -1 (/ (* a (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2)))) (pow d 2)) |
(/.f64 (fma.f64 a (fma.f64 (neg.f64 c) (/.f64 c (*.f64 d d)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (fma.f64 (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (neg.f64 a) a)) (*.f64 d 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) |
(/ b d) |
(/.f64 b d) |
(/ (+ b (/ (* a c) d)) d) |
(/.f64 (fma.f64 (/.f64 c d) a b) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 c (/.f64 c (neg.f64 d))) b (*.f64 c a)) d) b) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/.f64 (+.f64 (fma.f64 (pow.f64 (/.f64 c d) #s(literal 3 binary64)) (neg.f64 a) (/.f64 (fma.f64 (*.f64 c (/.f64 c (neg.f64 d))) b (*.f64 c a)) d)) b) d) |
(/ b d) |
(/.f64 b d) |
(/ (+ b (/ (* a c) d)) d) |
(/.f64 (fma.f64 (/.f64 c d) a b) d) |
(/ (+ b (/ (* a c) d)) d) |
(/.f64 (fma.f64 (/.f64 c d) a b) d) |
(/ (+ b (/ (* a c) d)) d) |
(/.f64 (fma.f64 (/.f64 c d) a b) d) |
b |
(+ b (/ (* a c) d)) |
(fma.f64 (/.f64 c d) a b) |
(+ b (/ (* a c) d)) |
(fma.f64 (/.f64 c d) a b) |
(+ b (/ (* a c) d)) |
(fma.f64 (/.f64 c d) a b) |
(/ 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)))) |
(*.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) |
(/ b d) |
(/.f64 b d) |
(/ (+ b (/ (* a c) d)) d) |
(/.f64 (fma.f64 (/.f64 c d) a b) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 c (/.f64 c (neg.f64 d))) b (*.f64 c a)) d) b) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/.f64 (+.f64 (fma.f64 (pow.f64 (/.f64 c d) #s(literal 3 binary64)) (neg.f64 a) (/.f64 (fma.f64 (*.f64 c (/.f64 c (neg.f64 d))) b (*.f64 c a)) d)) b) d) |
(* b d) |
(*.f64 d b) |
(* d (+ b (/ (* a c) d))) |
(*.f64 (fma.f64 (/.f64 c d) a b) d) |
(* d (+ b (/ (* a c) d))) |
(*.f64 (fma.f64 (/.f64 c d) a b) d) |
(* d (+ b (/ (* a c) d))) |
(*.f64 (fma.f64 (/.f64 c d) a b) d) |
(* b d) |
(*.f64 d b) |
(* b d) |
(*.f64 d b) |
(* b d) |
(*.f64 d b) |
(* b d) |
(*.f64 d b) |
(* b d) |
(*.f64 d b) |
(* d (+ b (/ (* a c) d))) |
(*.f64 (fma.f64 (/.f64 c d) a b) d) |
(* d (+ b (/ (* a c) d))) |
(*.f64 (fma.f64 (/.f64 c d) a b) d) |
(* d (+ b (/ (* a c) d))) |
(*.f64 (fma.f64 (/.f64 c d) a b) d) |
(* -1 (* b d)) |
(*.f64 (neg.f64 b) d) |
(* d (- (* -1 (/ (* a c) d)) b)) |
(*.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) d) |
(* d (- (* -1 (/ (* a c) d)) b)) |
(*.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) d) |
(* d (- (* -1 (/ (* a c) d)) b)) |
(*.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) d) |
(/ b d) |
(/.f64 b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(/.f64 (fma.f64 (/.f64 c d) a b) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 c (/.f64 c (neg.f64 d))) b (*.f64 c a)) d) b) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(/.f64 (+.f64 (/.f64 (fma.f64 c a (/.f64 (fma.f64 (*.f64 c c) b (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) d)) (neg.f64 d))) d) b) d) |
(/ -1 (pow d 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 d d)) |
(/ (- (/ (pow c 2) (pow d 2)) 1) (pow d 2)) |
(fma.f64 c (/.f64 c (pow.f64 d #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 d d))) |
(/ (- (* -1 (/ (pow c 4) (pow d 4))) (+ 1 (* -1 (/ (pow c 2) (pow d 2))))) (pow d 2)) |
(/.f64 (-.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 d d)) |
(/ (- (/ (pow c 6) (pow d 6)) (+ 1 (+ (* -1 (/ (pow c 2) (pow d 2))) (/ (pow c 4) (pow d 4))))) (pow d 2)) |
(/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal -1 binary64))) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 d 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) |
(/ b d) |
(/.f64 b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(/.f64 (fma.f64 (/.f64 c d) a b) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 c (/.f64 c (neg.f64 d))) b (*.f64 c a)) d) b) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(/.f64 (+.f64 (/.f64 (fma.f64 c a (/.f64 (fma.f64 (*.f64 c c) b (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) d)) (neg.f64 d))) d) b) d) |
(/ b d) |
(/.f64 b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(/.f64 (fma.f64 (/.f64 c d) a b) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 c (/.f64 c (neg.f64 d))) b (*.f64 c a)) d) b) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(/.f64 (+.f64 (/.f64 (fma.f64 c a (/.f64 (fma.f64 (*.f64 c c) b (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) d)) (neg.f64 d))) d) b) d) |
(/ (* a c) (pow d 2)) |
(*.f64 (/.f64 c (*.f64 d d)) a) |
(/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2)) |
(/.f64 (fma.f64 (pow.f64 (/.f64 c d) #s(literal 3 binary64)) (neg.f64 a) (/.f64 (*.f64 c a) d)) d) |
(/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2)) |
(/.f64 (-.f64 (/.f64 (*.f64 a (+.f64 (/.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 d #s(literal 4 binary64))) c)) d) (*.f64 (pow.f64 (/.f64 c d) #s(literal 3 binary64)) a)) d) |
(/ (- (+ (* -1 (/ (* a (pow c 7)) (pow d 6))) (* a c)) (+ (* -1 (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2)))) (pow d 2)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 (pow.f64 c #s(literal 7 binary64))) (pow.f64 d #s(literal 6 binary64))) a (*.f64 a (+.f64 (/.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 d #s(literal 4 binary64))) c))) d) (*.f64 (pow.f64 (/.f64 c d) #s(literal 3 binary64)) a)) d) |
(/ a (pow d 2)) |
(/.f64 a (*.f64 d d)) |
(/ (+ a (* -1 (/ (* a (pow c 2)) (pow d 2)))) (pow d 2)) |
(/.f64 (/.f64 (fma.f64 (*.f64 c (/.f64 c (*.f64 d d))) (neg.f64 a) a) d) d) |
(/ (- (+ a (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2))) (pow d 2)) |
(/.f64 (fma.f64 a (fma.f64 (neg.f64 c) (/.f64 c (*.f64 d d)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) a) (*.f64 d d)) |
(/ (- (+ a (* -1 (/ (* a (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2)))) (pow d 2)) |
(/.f64 (fma.f64 a (fma.f64 (neg.f64 c) (/.f64 c (*.f64 d d)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (fma.f64 (/.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (neg.f64 a) a)) (*.f64 d 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) |
(/ b d) |
(/.f64 b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(/.f64 (fma.f64 (/.f64 c d) a b) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 c (/.f64 c (neg.f64 d))) b (*.f64 c a)) d) b) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(/.f64 (+.f64 (/.f64 (fma.f64 c a (/.f64 (fma.f64 (*.f64 c c) b (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) d)) (neg.f64 d))) d) b) d) |
(/ b d) |
(/.f64 b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(/.f64 (fma.f64 (/.f64 c d) a b) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(/.f64 (fma.f64 (/.f64 c d) a b) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(/.f64 (fma.f64 (/.f64 c d) a b) d) |
b |
(+ b (/ (* a c) d)) |
(fma.f64 (/.f64 c d) a b) |
(+ b (/ (* a c) d)) |
(fma.f64 (/.f64 c d) a b) |
(+ b (/ (* a c) d)) |
(fma.f64 (/.f64 c d) a b) |
(/ 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)))) |
(*.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) |
(/ b d) |
(/.f64 b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(/.f64 (fma.f64 (/.f64 c d) a b) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 c (/.f64 c (neg.f64 d))) b (*.f64 c a)) d) b) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(/.f64 (+.f64 (/.f64 (fma.f64 c a (/.f64 (fma.f64 (*.f64 c c) b (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) d)) (neg.f64 d))) d) b) d) |
(* b d) |
(*.f64 d b) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(*.f64 (fma.f64 (/.f64 c d) a b) d) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(*.f64 (fma.f64 (/.f64 c d) a b) d) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(*.f64 (fma.f64 (/.f64 c d) a b) d) |
(* b d) |
(*.f64 d b) |
(* b d) |
(*.f64 d b) |
(* b d) |
(*.f64 d b) |
(* b d) |
(*.f64 d b) |
(* b d) |
(*.f64 d b) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(*.f64 (fma.f64 (/.f64 c d) a b) d) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(*.f64 (fma.f64 (/.f64 c d) a b) d) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(*.f64 (fma.f64 (/.f64 c d) a b) d) |
(* -1 (* b d)) |
(*.f64 (neg.f64 b) d) |
(* -1 (* d (- (/ (* a c) d) (* -1 b)))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) d) |
(* -1 (* d (- (/ (* a c) d) (* -1 b)))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) d) |
(* -1 (* d (- (/ (* a c) d) (* -1 b)))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) d) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 194 |
| 0 | 53 | 189 |
| 1 | 194 | 186 |
| 2 | 1300 | 186 |
| 0 | 8552 | 186 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (neg.f64 (fma.f64 d b (*.f64 c a)))) |
(/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) |
(fma.f64 d d (*.f64 c c)) |
(*.f64 c c) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
(/.f64 a c) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c)) |
(*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c) |
(/.f64 a (fma.f64 c c (*.f64 d d))) |
(fma.f64 c c (*.f64 d d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
(/.f64 (fma.f64 (/.f64 a d) c b) d) |
(fma.f64 (/.f64 a d) c b) |
(/.f64 a d) |
(+.f64 (*.f64 c c) (*.f64 d d)) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) |
#s(approx (+ (* a c) (* b d)) (*.f64 d b)) |
(*.f64 d b) |
(fma.f64 d b (*.f64 c a)) |
(neg.f64 (fma.f64 d b (*.f64 c a))) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 b d (*.f64 a c))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 b d (*.f64 a c))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (neg.f64 (fma.f64 b d (*.f64 a c))) #s(literal -1 binary64)) (pow.f64 (fma.f64 c c (*.f64 d d)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 (fma.f64 b d (*.f64 a c))) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (+.f64 c d) (-.f64 c d)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 (fma.f64 b d (*.f64 a c))) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (+.f64 d c) (-.f64 d c)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 (fma.f64 b d (*.f64 a c))) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 (fma.f64 b d (*.f64 a c))) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 (+.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 b d) (fma.f64 b d (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) (fma.f64 c c (*.f64 d d))) (/.f64 (fma.f64 b d (*.f64 a c)) (fma.f64 (*.f64 b d) (fma.f64 b d (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 a c) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 b d) (fma.f64 b d (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) (fma.f64 c c (*.f64 d d))) (/.f64 (fma.f64 b d (*.f64 a c)) (fma.f64 (*.f64 a c) (fma.f64 a c (*.f64 (neg.f64 d) b)) (pow.f64 (*.f64 b d) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 a c) (fma.f64 a c (*.f64 (neg.f64 d) b)) (pow.f64 (*.f64 b d) #s(literal 2 binary64))) (fma.f64 c c (*.f64 d d))) (/.f64 (fma.f64 b d (*.f64 a c)) (fma.f64 (*.f64 b d) (fma.f64 b d (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 a c) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 a c) (fma.f64 a c (*.f64 (neg.f64 d) b)) (pow.f64 (*.f64 b d) #s(literal 2 binary64))) (fma.f64 c c (*.f64 d d))) (/.f64 (fma.f64 b d (*.f64 a c)) (fma.f64 (*.f64 a c) (fma.f64 a c (*.f64 (neg.f64 d) b)) (pow.f64 (*.f64 b d) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (fma.f64 b d (*.f64 a c)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 c c (*.f64 d d)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (pow.f64 (*.f64 b d) #s(literal 2 binary64))) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (/.f64 (pow.f64 (fma.f64 a c (*.f64 (neg.f64 d) b)) #s(literal -1 binary64)) (pow.f64 (*.f64 (+.f64 c d) (-.f64 c d)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (pow.f64 (*.f64 b d) #s(literal 2 binary64))) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (/.f64 (pow.f64 (fma.f64 a c (*.f64 (neg.f64 d) b)) #s(literal -1 binary64)) (pow.f64 (*.f64 (+.f64 d c) (-.f64 d c)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (pow.f64 (*.f64 b d) #s(literal 2 binary64))) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (/.f64 (pow.f64 (fma.f64 a c (*.f64 (neg.f64 d) b)) #s(literal -1 binary64)) (pow.f64 (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (pow.f64 (*.f64 b d) #s(literal 2 binary64))) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (/.f64 (pow.f64 (fma.f64 a c (*.f64 (neg.f64 d) b)) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 b d) #s(literal 2 binary64)) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 d) b (*.f64 a c))) (pow.f64 (*.f64 (+.f64 c d) (-.f64 c d)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 b d) #s(literal 2 binary64)) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 d) b (*.f64 a c))) (pow.f64 (*.f64 (+.f64 d c) (-.f64 d c)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 b d) #s(literal 2 binary64)) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 d) b (*.f64 a c))) (pow.f64 (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 b d) #s(literal 2 binary64)) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 d) b (*.f64 a c))) (pow.f64 (-.f64 (+.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 (*.f64 b d) #s(literal 3 binary64))) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (/.f64 (pow.f64 (fma.f64 (*.f64 b d) (fma.f64 b d (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (*.f64 (+.f64 c d) (-.f64 c d)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 (*.f64 b d) #s(literal 3 binary64))) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (/.f64 (pow.f64 (fma.f64 (*.f64 a c) (fma.f64 a c (*.f64 (neg.f64 d) b)) (pow.f64 (*.f64 b d) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (*.f64 (+.f64 c d) (-.f64 c d)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 (*.f64 b d) #s(literal 3 binary64))) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (/.f64 (pow.f64 (fma.f64 (*.f64 b d) (fma.f64 b d (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (*.f64 (+.f64 d c) (-.f64 d c)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 (*.f64 b d) #s(literal 3 binary64))) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (/.f64 (pow.f64 (fma.f64 (*.f64 a c) (fma.f64 a c (*.f64 (neg.f64 d) b)) (pow.f64 (*.f64 b d) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (*.f64 (+.f64 d c) (-.f64 d c)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 (*.f64 b d) #s(literal 3 binary64))) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (/.f64 (pow.f64 (fma.f64 (*.f64 b d) (fma.f64 b d (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 (*.f64 b d) #s(literal 3 binary64))) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (/.f64 (pow.f64 (fma.f64 (*.f64 b d) (fma.f64 b d (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 (*.f64 b d) #s(literal 3 binary64))) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (/.f64 (pow.f64 (fma.f64 (*.f64 a c) (fma.f64 a c (*.f64 (neg.f64 d) b)) (pow.f64 (*.f64 b d) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 (*.f64 b d) #s(literal 3 binary64))) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (/.f64 (pow.f64 (fma.f64 (*.f64 a c) (fma.f64 a c (*.f64 (neg.f64 d) b)) (pow.f64 (*.f64 b d) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 c c (*.f64 d d)) (-.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (pow.f64 (*.f64 b d) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 a c (*.f64 (neg.f64 d) b)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 c c (*.f64 d d)) (-.f64 (pow.f64 (*.f64 b d) #s(literal 2 binary64)) (pow.f64 (*.f64 a c) #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 d) b (*.f64 a c)))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 c c (*.f64 d d)) (+.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 (*.f64 b d) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 b d) (fma.f64 b d (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 c c (*.f64 d d)) (+.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 (*.f64 b d) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 a c) (fma.f64 a c (*.f64 (neg.f64 d) b)) (pow.f64 (*.f64 b d) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 c d) (-.f64 c d)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (*.f64 (+.f64 c d) (-.f64 c d))) |
(*.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 d c) (-.f64 d c)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (*.f64 (+.f64 d c) (-.f64 d c))) |
(*.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (+.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64)))) |
(*.f64 (/.f64 (fma.f64 b d (*.f64 a c)) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (-.f64 (+.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (pow.f64 (*.f64 d c) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (*.f64 (+.f64 c d) (-.f64 c d)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (*.f64 (+.f64 d c) (-.f64 d c)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) #s(literal -1 binary64)) (/.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) #s(literal -1 binary64)) (/.f64 (fma.f64 b d (*.f64 a c)) (pow.f64 (-.f64 (+.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (/.f64 (neg.f64 (fma.f64 b d (*.f64 a c))) (pow.f64 (*.f64 (+.f64 c d) (-.f64 c d)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (/.f64 (neg.f64 (fma.f64 b d (*.f64 a c))) (pow.f64 (*.f64 (+.f64 d c) (-.f64 d c)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (/.f64 (neg.f64 (fma.f64 b d (*.f64 a c))) (pow.f64 (+.f64 (-.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) (pow.f64 c #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64)))) (/.f64 (neg.f64 (fma.f64 b d (*.f64 a c))) (pow.f64 (-.f64 (+.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (pow.f64 (*.f64 d c) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (pow.f64 (*.f64 b d) #s(literal 2 binary64))) (fma.f64 c c (*.f64 d d))) (pow.f64 (fma.f64 a c (*.f64 (neg.f64 d) b)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 b d) #s(literal 2 binary64)) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) (fma.f64 c c (*.f64 d d))) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 d) b (*.f64 a c)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 (*.f64 b d) #s(literal 3 binary64))) (fma.f64 c c (*.f64 d d))) (pow.f64 (fma.f64 (*.f64 b d) (fma.f64 b d (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 (*.f64 b d) #s(literal 3 binary64))) (fma.f64 c c (*.f64 d d))) (pow.f64 (fma.f64 (*.f64 a c) (fma.f64 a c (*.f64 (neg.f64 d) b)) (pow.f64 (*.f64 b d) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 (fma.f64 b d (*.f64 a c))) (fma.f64 c c (*.f64 d d))) #s(literal -1 binary64)) |
(*.f64 (-.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (pow.f64 (*.f64 b d) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 a c (*.f64 (neg.f64 d) b)) (fma.f64 c c (*.f64 d d))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (pow.f64 (*.f64 b d) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 a c (*.f64 (neg.f64 d) b))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 b d) #s(literal 2 binary64)) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b d (*.f64 (neg.f64 c) a)) (fma.f64 c c (*.f64 d d))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 b d) #s(literal 2 binary64)) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 c c (*.f64 d d)) (fma.f64 b d (*.f64 (neg.f64 c) a))))) |
(*.f64 (pow.f64 (fma.f64 c c (*.f64 d d)) #s(literal -1 binary64)) (/.f64 (neg.f64 (fma.f64 b d (*.f64 a c))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 c c (*.f64 d d)) #s(literal -1 binary64)) (fma.f64 b d (*.f64 a c))) |
(*.f64 (+.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 (*.f64 b d) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 b d) (fma.f64 b d (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) (fma.f64 c c (*.f64 d d))))) |
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(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (/.f64 a d) c b) #s(literal -1 binary64))) |
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(/.f64 (-.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (pow.f64 (*.f64 b d) #s(literal 2 binary64))) (neg.f64 (fma.f64 a c (*.f64 (neg.f64 d) b)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 b d) #s(literal 2 binary64)) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) (fma.f64 (neg.f64 d) b (*.f64 a c))) |
(/.f64 (+.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 (*.f64 b d) #s(literal 3 binary64))) (neg.f64 (fma.f64 (*.f64 b d) (fma.f64 b d (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 a c) #s(literal 2 binary64))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 (*.f64 b d) #s(literal 3 binary64))) (neg.f64 (fma.f64 (*.f64 a c) (fma.f64 a c (*.f64 (neg.f64 d) b)) (pow.f64 (*.f64 b d) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b d (*.f64 a c)) (neg.f64 (pow.f64 (fma.f64 b d (*.f64 a c)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 b d (*.f64 a c)) #s(literal 2 binary64)) #s(literal 0 binary64)) (neg.f64 (pow.f64 (fma.f64 b d (*.f64 a c)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a c (*.f64 (neg.f64 d) b)) (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (pow.f64 (*.f64 b d) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b d (*.f64 (neg.f64 c) a)) (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 b d) #s(literal 2 binary64)) (pow.f64 (*.f64 a c) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 b d) (fma.f64 b d (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 a c) #s(literal 2 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 (*.f64 b d) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 a c) (fma.f64 a c (*.f64 (neg.f64 d) b)) (pow.f64 (*.f64 b d) #s(literal 2 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 (*.f64 b d) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 a c (*.f64 (neg.f64 d) b))) (-.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (pow.f64 (*.f64 b d) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 d) b (*.f64 a c)) (-.f64 (pow.f64 (*.f64 b d) #s(literal 2 binary64)) (pow.f64 (*.f64 a c) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (*.f64 b d) (fma.f64 b d (*.f64 (neg.f64 c) a)) (pow.f64 (*.f64 a c) #s(literal 2 binary64)))) (+.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 (*.f64 b d) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (*.f64 a c) (fma.f64 a c (*.f64 (neg.f64 d) b)) (pow.f64 (*.f64 b d) #s(literal 2 binary64)))) (+.f64 (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 (*.f64 b d) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (fma.f64 b d (*.f64 a c)) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 b d (*.f64 a c)) #s(literal -1 binary64))) |
(neg.f64 (fma.f64 b d (*.f64 a c))) |
(fma.f64 (*.f64 (*.f64 b d) #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 a c) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (*.f64 a c) #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 b d) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(fma.f64 (neg.f64 b) d (*.f64 (neg.f64 c) a)) |
(fma.f64 (*.f64 (neg.f64 c) a) #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 d) b) #s(literal 1 binary64))) |
(fma.f64 (*.f64 (neg.f64 d) b) #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 c) a) #s(literal 1 binary64))) |
(fma.f64 (neg.f64 c) a (*.f64 (neg.f64 d) b)) |
(fma.f64 (neg.f64 d) b (*.f64 (neg.f64 c) a)) |
(fma.f64 (neg.f64 a) c (*.f64 (neg.f64 d) b)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 b d) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 a c) #s(literal -1 binary64)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 a c) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 b d) #s(literal -1 binary64)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) a) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 d) b))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 d) b) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) a))) |
(fma.f64 (*.f64 b d) #s(literal -1 binary64) (*.f64 (*.f64 a c) #s(literal -1 binary64))) |
(fma.f64 (*.f64 a c) #s(literal -1 binary64) (*.f64 (*.f64 b d) #s(literal -1 binary64))) |
(fma.f64 a (neg.f64 c) (*.f64 (neg.f64 d) b)) |
(fma.f64 b (neg.f64 d) (*.f64 (neg.f64 c) a)) |
(fma.f64 c (neg.f64 a) (*.f64 (neg.f64 d) b)) |
(fma.f64 d (neg.f64 b) (*.f64 (neg.f64 c) a)) |
(fma.f64 #s(literal -1 binary64) (*.f64 b d) (*.f64 (neg.f64 c) a)) |
(fma.f64 #s(literal -1 binary64) (*.f64 a c) (*.f64 (neg.f64 d) b)) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 b d (*.f64 a c))) (/.f64 (pow.f64 (fma.f64 b d (*.f64 a c)) #s(literal 2 binary64)) (fma.f64 b d (*.f64 a c)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (fma.f64 b d (*.f64 a c)) #s(literal 2 binary64)) #s(literal 0 binary64))) (/.f64 (pow.f64 (fma.f64 b d (*.f64 a c)) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 b d (*.f64 a c)) #s(literal 2 binary64)) #s(literal 0 binary64)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (neg.f64 (fma.f64 a c (*.f64 (neg.f64 d) b)))) (/.f64 (pow.f64 (*.f64 b d) #s(literal 2 binary64)) (neg.f64 (fma.f64 a c (*.f64 (neg.f64 d) b))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 b d) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 a c))) (/.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) (fma.f64 (neg.f64 d) b (*.f64 a c)))) |
(-.f64 (*.f64 (neg.f64 c) a) (*.f64 b d)) |
(-.f64 (*.f64 (neg.f64 d) b) (*.f64 a c)) |
(-.f64 #s(literal 0 binary64) (fma.f64 b d (*.f64 a c))) |
(+.f64 (*.f64 (*.f64 (*.f64 b d) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 a c) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 (*.f64 a c) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 b d) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 (neg.f64 c) a) #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 d) b) #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 (neg.f64 d) b) #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 c) a) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 b d) #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 a c) #s(literal -1 binary64)))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 a c) #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 b d) #s(literal -1 binary64)))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) a)) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 d) b))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 d) b)) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) a))) |
(+.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 d) b) #s(literal -1 binary64))) (neg.f64 (*.f64 (*.f64 (neg.f64 c) a) #s(literal -1 binary64)))) |
(+.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 d) b))) (neg.f64 (neg.f64 (*.f64 (neg.f64 c) a)))) |
(+.f64 (*.f64 (*.f64 b d) #s(literal -1 binary64)) (*.f64 (*.f64 a c) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 a c) #s(literal -1 binary64)) (*.f64 (*.f64 b d) #s(literal -1 binary64))) |
(+.f64 (*.f64 (neg.f64 c) a) (*.f64 (neg.f64 d) b)) |
(+.f64 (*.f64 (neg.f64 d) b) (*.f64 (neg.f64 c) a)) |
(+.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 b d (*.f64 a c)))) |
Compiled 41 056 to 3 378 computations (91.8% saved)
18 alts after pruning (16 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 784 | 13 | 1 797 |
| Fresh | 4 | 3 | 7 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 791 | 18 | 1 809 |
| Status | Accuracy | Program |
|---|---|---|
| 33.4% | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| ▶ | 36.4% | (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (fma.f64 c c (*.f64 d d))) |
| 35.6% | (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 (*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) d) d))) | |
| 19.1% | (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| ▶ | 49.1% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 d c) c) b (/.f64 a c))) |
| ▶ | 57.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) |
| 50.9% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) | |
| 21.0% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d)) | |
| ▶ | 44.5% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
| ✓ | 43.3% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
| 29.5% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64)) (*.f64 b b)) d) (pow.f64 (-.f64 (*.f64 (/.f64 a d) c) b) #s(literal -1 binary64)))) | |
| 39.5% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b)) | |
| ✓ | 41.2% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c)) |
| ▶ | 18.8% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c)) |
| 31.3% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) | |
| 56.9% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 (fma.f64 (/.f64 a d) c b)) (/.f64 #s(literal -1 binary64) d))) | |
| 43.2% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c))) | |
| 19.2% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (*.f64 (/.f64 c (*.f64 d d)) a))) |
Compiled 361 to 321 computations (11.1% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 d c) | |
| cost-diff | 0 | (/.f64 (/.f64 d c) c) | |
| cost-diff | 0 | (fma.f64 (/.f64 (/.f64 d c) c) b (/.f64 a c)) | |
| cost-diff | 0 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 d c) c) b (/.f64 a c))) | |
| cost-diff | 0 | (fma.f64 c c (*.f64 d d)) | |
| cost-diff | 0 | (*.f64 d b) | |
| cost-diff | 0 | #s(approx (+ (* a c) (* b d)) (*.f64 d b)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (fma.f64 c c (*.f64 d d))) | |
| cost-diff | 0 | #s(approx (+ (* c c) (* d d)) (*.f64 d d)) | |
| cost-diff | 0 | (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| cost-diff | 0 | (*.f64 (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c) | |
| cost-diff | 0 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c)) | |
| cost-diff | 0 | (/.f64 b d) | |
| cost-diff | 0 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) | |
| cost-diff | 0 | (/.f64 c d) | |
| cost-diff | 0 | (fma.f64 (/.f64 c d) a b) | |
| cost-diff | 0 | (/.f64 (fma.f64 (/.f64 c d) a b) d) | |
| cost-diff | 0 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 232 |
| 0 | 48 | 232 |
| 1 | 63 | 232 |
| 2 | 73 | 232 |
| 3 | 80 | 232 |
| 4 | 84 | 232 |
| 0 | 84 | 226 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) |
(/.f64 (fma.f64 (/.f64 c d) a b) d) |
(fma.f64 (/.f64 c d) a b) |
(/.f64 c d) |
c |
d |
a |
b |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
(/.f64 b d) |
b |
d |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c)) |
(*.f64 (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c) |
(/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
a |
#s(approx (+ (* c c) (* d d)) (*.f64 d d)) |
(*.f64 d d) |
d |
c |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (fma.f64 c c (*.f64 d d))) |
#s(approx (+ (* a c) (* b d)) (*.f64 d b)) |
(*.f64 d b) |
d |
b |
(fma.f64 c c (*.f64 d d)) |
c |
(*.f64 d d) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 d c) c) b (/.f64 a c))) |
(fma.f64 (/.f64 (/.f64 d c) c) b (/.f64 a c)) |
(/.f64 (/.f64 d c) c) |
(/.f64 d c) |
d |
c |
b |
(/.f64 a c) |
a |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) |
(/.f64 (fma.f64 (/.f64 c d) a b) d) |
(fma.f64 (/.f64 c d) a b) |
(/.f64 c d) |
c |
d |
a |
b |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
(/.f64 b d) |
b |
d |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c a) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) |
(*.f64 (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c) |
(/.f64 (*.f64 c a) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
(/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
a |
#s(approx (+ (* c c) (* d d)) (*.f64 d d)) |
(*.f64 d d) |
d |
c |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (fma.f64 c c (*.f64 d d))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (fma.f64 d d (*.f64 c c))) |
#s(approx (+ (* a c) (* b d)) (*.f64 d b)) |
(*.f64 d b) |
d |
b |
(fma.f64 c c (*.f64 d d)) |
(fma.f64 d d (*.f64 c c)) |
c |
(*.f64 d d) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 d c) c) b (/.f64 a c))) |
(fma.f64 (/.f64 (/.f64 d c) c) b (/.f64 a c)) |
(/.f64 (/.f64 d c) c) |
(/.f64 d c) |
d |
c |
b |
(/.f64 a c) |
a |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 a c) | |
| accuracy | 0.1015625 | (/.f64 (/.f64 d c) c) | |
| accuracy | 6.668725594237971 | (fma.f64 (/.f64 (/.f64 d c) c) b (/.f64 a c)) | |
| accuracy | 30.91918296049579 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 d c) c) b (/.f64 a c))) | |
| accuracy | 0 | (*.f64 d b) | |
| accuracy | 0.00390625 | (fma.f64 c c (*.f64 d d)) | |
| accuracy | 24.659730245057833 | (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (fma.f64 c c (*.f64 d d))) | |
| accuracy | 30.689701508663305 | #s(approx (+ (* a c) (* b d)) (*.f64 d b)) | |
| accuracy | 7.577887417314192 | (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| accuracy | 9.224468148091779 | (*.f64 (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c) | |
| accuracy | 26.89110876658865 | #s(approx (+ (* c c) (* d d)) (*.f64 d d)) | |
| accuracy | 27.41782186166211 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c)) | |
| accuracy | 0 | (/.f64 b d) | |
| accuracy | 35.54258902520233 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) | |
| accuracy | 0 | (/.f64 c d) | |
| accuracy | 0.9961768911532698 | (/.f64 (fma.f64 (/.f64 c d) a b) d) | |
| accuracy | 3.392324178502978 | (fma.f64 (/.f64 c d) a b) | |
| accuracy | 27.21477838820025 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) |
| 46.0ms | 256× | 0 | valid |
Compiled 187 to 26 computations (86.1% saved)
ival-div: 12.0ms (41.4% of total)ival-mult: 12.0ms (41.4% of total)ival-add: 4.0ms (13.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (/.f64 c d) a b) d) (patch (/.f64 (fma.f64 (/.f64 c d) a b) d) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 c d) a b) (patch (fma.f64 (/.f64 c d) a b) #<representation binary64>) () ()) |
#s(alt (/.f64 c d) (patch (/.f64 c d) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) #<representation binary64>) () ()) |
#s(alt (/.f64 b d) (patch (/.f64 b d) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c) (patch (*.f64 (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c) #<representation binary64>) () ()) |
#s(alt (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 d d))) (patch (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 d d))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (fma.f64 c c (*.f64 d d))) (patch (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (patch #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #<representation binary64>) () ()) |
#s(alt (*.f64 d b) (patch (*.f64 d b) #<representation binary64>) () ()) |
#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 d c) c) b (/.f64 a c))) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 d c) c) b (/.f64 a c))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 (/.f64 d c) c) b (/.f64 a c)) (patch (fma.f64 (/.f64 (/.f64 d c) c) b (/.f64 a c)) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 d c) c) (patch (/.f64 (/.f64 d c) c) #<representation binary64>) () ()) |
#s(alt (/.f64 d c) (patch (/.f64 d c) #<representation binary64>) () ()) |
#s(alt (/.f64 a c) (patch (/.f64 a c) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ b d) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) #<representation binary64>) () ())) ()) |
#s(alt (/ b d) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (/.f64 c d) a b) d) (patch (/.f64 (fma.f64 (/.f64 c d) a b) d) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (/.f64 c d) a b) d) (patch (/.f64 (fma.f64 (/.f64 c d) a b) d) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (/.f64 c d) a b) d) (patch (/.f64 (fma.f64 (/.f64 c d) a b) d) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (/.f64 c d) a b) d) (patch (/.f64 (fma.f64 (/.f64 c d) a b) d) #<representation binary64>) () ())) ()) |
#s(alt b (taylor 0 c) (#s(alt (fma.f64 (/.f64 c d) a b) (patch (fma.f64 (/.f64 c d) a b) #<representation binary64>) () ())) ()) |
#s(alt (+ b (/ (* a c) d)) (taylor 0 c) (#s(alt (fma.f64 (/.f64 c d) a b) (patch (fma.f64 (/.f64 c d) a b) #<representation binary64>) () ())) ()) |
#s(alt (+ b (/ (* a c) d)) (taylor 0 c) (#s(alt (fma.f64 (/.f64 c d) a b) (patch (fma.f64 (/.f64 c d) a b) #<representation binary64>) () ())) ()) |
#s(alt (+ b (/ (* a c) d)) (taylor 0 c) (#s(alt (fma.f64 (/.f64 c d) a b) (patch (fma.f64 (/.f64 c d) a b) #<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 (/ b d) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) #<representation binary64>) () ())) ()) |
#s(alt (/ b d) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) (pow d 2)) (taylor 0 c) (#s(alt (*.f64 (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c) (patch (*.f64 (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2)))) (taylor 0 c) (#s(alt (*.f64 (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c) (patch (*.f64 (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2)))) (taylor 0 c) (#s(alt (*.f64 (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c) (patch (*.f64 (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* a (pow c 2)) (pow d 8))) (* -1 (/ a (pow d 6))))) (/ a (pow d 4)))) (/ a (pow d 2)))) (taylor 0 c) (#s(alt (*.f64 (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c) (patch (*.f64 (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c) #<representation binary64>) () ())) ()) |
#s(alt (/ a (pow d 2)) (taylor 0 c) (#s(alt (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 d d))) (patch (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2))) (taylor 0 c) (#s(alt (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 d d))) (patch (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2))) (taylor 0 c) (#s(alt (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 d d))) (patch (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* a (pow c 2)) (pow d 8))) (* -1 (/ a (pow d 6))))) (/ a (pow d 4)))) (/ a (pow d 2))) (taylor 0 c) (#s(alt (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 d d))) (patch (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (pow d 2) (taylor 0 c) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 d d)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (/ b d) (taylor 0 c) (#s(alt (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (fma.f64 c c (*.f64 d d))) (patch (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (fma.f64 c c (*.f64 d d))) (patch (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (fma.f64 c c (*.f64 d d))) (patch (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (fma.f64 c c (*.f64 d d))) (patch (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (fma.f64 c c (*.f64 d d))) #<representation binary64>) () ())) ()) |
#s(alt (* b d) (taylor 0 c) (#s(alt #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (patch #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a c) (* b d)) (taylor 0 c) (#s(alt #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (patch #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a c) (* b d)) (taylor 0 c) (#s(alt #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (patch #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* a c) (* b d)) (taylor 0 c) (#s(alt #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (patch #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #<representation binary64>) () ())) ()) |
#s(alt (pow d 2) (taylor 0 c) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt (fma.f64 c c (*.f64 d d)) (patch (fma.f64 c c (*.f64 d d)) #<representation binary64>) () ())) ()) |
#s(alt (/ b d) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 d c) c) b (/.f64 a c))) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 d c) c) b (/.f64 a c))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 d c) c) b (/.f64 a c))) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 d c) c) b (/.f64 a c))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 d c) c) b (/.f64 a c))) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 d c) c) b (/.f64 a c))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 d c) c) b (/.f64 a c))) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 d c) c) b (/.f64 a c))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b d) (pow c 2)) (taylor 0 c) (#s(alt (fma.f64 (/.f64 (/.f64 d c) c) b (/.f64 a c)) (patch (fma.f64 (/.f64 (/.f64 d c) c) b (/.f64 a c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* a c) (* b d)) (pow c 2)) (taylor 0 c) (#s(alt (fma.f64 (/.f64 (/.f64 d c) c) b (/.f64 a c)) (patch (fma.f64 (/.f64 (/.f64 d c) c) b (/.f64 a c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* a c) (* b d)) (pow c 2)) (taylor 0 c) (#s(alt (fma.f64 (/.f64 (/.f64 d c) c) b (/.f64 a c)) (patch (fma.f64 (/.f64 (/.f64 d c) c) b (/.f64 a c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* a c) (* b d)) (pow c 2)) (taylor 0 c) (#s(alt (fma.f64 (/.f64 (/.f64 d c) c) b (/.f64 a c)) (patch (fma.f64 (/.f64 (/.f64 d c) c) b (/.f64 a c)) #<representation binary64>) () ())) ()) |
#s(alt (/ d (pow c 2)) (taylor 0 c) (#s(alt (/.f64 (/.f64 d c) c) (patch (/.f64 (/.f64 d c) c) #<representation binary64>) () ())) ()) |
#s(alt (/ d (pow c 2)) (taylor 0 c) (#s(alt (/.f64 (/.f64 d c) c) (patch (/.f64 (/.f64 d c) c) #<representation binary64>) () ())) ()) |
#s(alt (/ d (pow c 2)) (taylor 0 c) (#s(alt (/.f64 (/.f64 d c) c) (patch (/.f64 (/.f64 d c) c) #<representation binary64>) () ())) ()) |
#s(alt (/ d (pow c 2)) (taylor 0 c) (#s(alt (/.f64 (/.f64 d c) c) (patch (/.f64 (/.f64 d c) c) #<representation binary64>) () ())) ()) |
#s(alt (/ d c) (taylor 0 c) (#s(alt (/.f64 d c) (patch (/.f64 d c) #<representation binary64>) () ())) ()) |
#s(alt (/ d c) (taylor 0 c) (#s(alt (/.f64 d c) (patch (/.f64 d c) #<representation binary64>) () ())) ()) |
#s(alt (/ d c) (taylor 0 c) (#s(alt (/.f64 d c) (patch (/.f64 d c) #<representation binary64>) () ())) ()) |
#s(alt (/ d c) (taylor 0 c) (#s(alt (/.f64 d c) (patch (/.f64 d c) #<representation binary64>) () ())) ()) |
#s(alt (/ a c) (taylor 0 c) (#s(alt (/.f64 a c) (patch (/.f64 a c) #<representation binary64>) () ())) ()) |
#s(alt (/ a c) (taylor 0 c) (#s(alt (/.f64 a c) (patch (/.f64 a c) #<representation binary64>) () ())) ()) |
#s(alt (/ a c) (taylor 0 c) (#s(alt (/.f64 a c) (patch (/.f64 a c) #<representation binary64>) () ())) ()) |
#s(alt (/ a c) (taylor 0 c) (#s(alt (/.f64 a c) (patch (/.f64 a c) #<representation binary64>) () ())) ()) |
#s(alt (/ a c) (taylor inf c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ a (/ (* b d) c)) c) (taylor inf c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) (taylor inf c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) (taylor -inf d) (#s(alt (fma.f64 (/.f64 (/.f64 d c) c) b (/.f64 a c)) (patch (fma.f64 (/.f64 (/.f64 d c) c) b (/.f64 a c)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) (taylor -inf d) (#s(alt (fma.f64 (/.f64 (/.f64 d c) c) b (/.f64 a c)) (patch (fma.f64 (/.f64 (/.f64 d c) c) b (/.f64 a c)) #<representation binary64>) () ())) ()) |
#s(alt (/ d (pow c 2)) (taylor -inf d) (#s(alt (/.f64 (/.f64 d c) c) (patch (/.f64 (/.f64 d c) c) #<representation binary64>) () ())) ()) |
#s(alt (/ d (pow c 2)) (taylor -inf d) (#s(alt (/.f64 (/.f64 d c) c) (patch (/.f64 (/.f64 d c) c) #<representation binary64>) () ())) ()) |
#s(alt (/ d (pow c 2)) (taylor -inf d) (#s(alt (/.f64 (/.f64 d c) c) (patch (/.f64 (/.f64 d c) c) #<representation binary64>) () ())) ()) |
#s(alt (/ d (pow c 2)) (taylor -inf d) (#s(alt (/.f64 (/.f64 d c) c) (patch (/.f64 (/.f64 d c) c) #<representation binary64>) () ())) ()) |
#s(alt (/ d c) (taylor -inf d) (#s(alt (/.f64 d c) (patch (/.f64 d c) #<representation binary64>) () ())) ()) |
#s(alt (/ d c) (taylor -inf d) (#s(alt (/.f64 d c) (patch (/.f64 d c) #<representation binary64>) () ())) ()) |
#s(alt (/ d c) (taylor -inf d) (#s(alt (/.f64 d c) (patch (/.f64 d c) #<representation binary64>) () ())) ()) |
#s(alt (/ d c) (taylor -inf d) (#s(alt (/.f64 d c) (patch (/.f64 d c) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | b | @ | -inf | ((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ c d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ a (+ (* c c) (* d d))) c) (/ a (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* (/ (/ d c) c) b) (/ a c)) (/ (/ d c) c) (/ d c) (/ a c)) |
| 3.0ms | d | @ | -inf | ((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ c d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ a (+ (* c c) (* d d))) c) (/ a (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* (/ (/ d c) c) b) (/ a c)) (/ (/ d c) c) (/ d c) (/ a c)) |
| 2.0ms | a | @ | -inf | ((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ c d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ a (+ (* c c) (* d d))) c) (/ a (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* (/ (/ d c) c) b) (/ a c)) (/ (/ d c) c) (/ d c) (/ a c)) |
| 2.0ms | d | @ | inf | ((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ c d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ a (+ (* c c) (* d d))) c) (/ a (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* (/ (/ d c) c) b) (/ a c)) (/ (/ d c) c) (/ d c) (/ a c)) |
| 2.0ms | c | @ | -inf | ((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ c d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ b d) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ a (+ (* c c) (* d d))) c) (/ a (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* a c) (* b d)) (* d b) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* (/ (/ d c) c) b) (/ a c)) (/ (/ d c) c) (/ d c) (/ a c)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 396 | 8196 |
| 1 | 1280 | 8078 |
| 2 | 3995 | 7935 |
| 0 | 8152 | 7358 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
b |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(/ (* a c) (pow d 2)) |
(* c (+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2)))) |
(* c (+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2)))) |
(* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* a (pow c 2)) (pow d 8))) (* -1 (/ a (pow d 6))))) (/ a (pow d 4)))) (/ a (pow d 2)))) |
(/ a (pow d 2)) |
(+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2))) |
(+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2))) |
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* a (pow c 2)) (pow d 8))) (* -1 (/ a (pow d 6))))) (/ a (pow d 4)))) (/ a (pow d 2))) |
(pow d 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(* b d) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(pow d 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(/ (* b d) (pow c 2)) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/ d (pow c 2)) |
(/ d (pow c 2)) |
(/ d (pow c 2)) |
(/ d (pow c 2)) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/ (* a c) (pow d 2)) |
(* c (+ (/ a (pow d 2)) (/ b (* c d)))) |
(* c (+ (/ a (pow d 2)) (/ b (* c d)))) |
(* c (+ (/ a (pow d 2)) (/ b (* c d)))) |
(/ (* a c) d) |
(* c (+ (/ a d) (/ b c))) |
(* c (+ (/ a d) (/ b c))) |
(* c (+ (/ a d) (/ b c))) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ a c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/ a c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/ a c) |
(/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) c) |
(/ (- (+ a (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/ (- (+ a (* -1 (/ (* a (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c) |
(/ a (pow c 2)) |
(/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) (pow c 2)) |
(/ (- (+ a (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2))) (pow c 2)) |
(/ (- (+ a (* -1 (/ (* a (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) (pow c 2)) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(/ a c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(* a c) |
(* c (+ a (/ (* b d) c))) |
(* c (+ a (/ (* b d) c))) |
(* c (+ a (/ (* b d) 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)))) |
(/ a c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/ a c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (/ (* b d) c)) c) |
(/ d (pow c 2)) |
(/ d (pow c 2)) |
(/ d (pow c 2)) |
(/ d (pow c 2)) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(/ (* a c) (pow d 2)) |
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))))) |
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))))) |
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))))) |
(/ (* a c) d) |
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(/ a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(/ a c) |
(* -1 (/ (+ (* -1 a) (/ (* a (pow d 2)) (pow c 2))) c)) |
(* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c)) |
(* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (+ (/ (* a (pow d 2)) (pow c 2)) (/ (* a (pow d 6)) (pow c 6))))) c)) |
(/ a (pow c 2)) |
(/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) (pow c 2)) |
(/ (- (+ a (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2))) (pow c 2)) |
(/ (- (+ a (* -1 (/ (* a (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) (pow c 2)) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(/ a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(* a c) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) c))))) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (* b d) 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)))) |
(/ a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(/ a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(/ d (pow c 2)) |
(/ d (pow c 2)) |
(/ d (pow c 2)) |
(/ d (pow c 2)) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* a c) (pow d 2)) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(/ (* a c) d) |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(* a c) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(/ b d) |
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))) |
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))) |
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))) |
b |
(* b (+ 1 (/ (* a c) (* b d)))) |
(* b (+ 1 (/ (* a c) (* b d)))) |
(* b (+ 1 (/ (* a c) (* b d)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b d) |
(* b (+ d (/ (* a c) b))) |
(* b (+ d (/ (* a c) b))) |
(* b (+ d (/ (* a c) b))) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(/ (* b d) (pow c 2)) |
(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(/ b d) |
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)))) |
b |
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* b d) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* -1 (* b (+ (* -1 d) (* -1 (/ (* a c) b))))) |
(* b d) |
(* b d) |
(* b d) |
(* b d) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(/ (* b d) (pow c 2)) |
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) |
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) |
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
b |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ a (+ (pow c 2) (pow d 2))) |
(/ a (+ (pow c 2) (pow d 2))) |
(/ a (+ (pow c 2) (pow d 2))) |
(/ a (+ (pow c 2) (pow d 2))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(* b d) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* b d) (pow c 2)) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(/ (* a c) (pow d 2)) |
(* a (+ (/ b (* a d)) (/ c (pow d 2)))) |
(* a (+ (/ b (* a d)) (/ c (pow d 2)))) |
(* a (+ (/ b (* a d)) (/ c (pow d 2)))) |
(/ (* a c) d) |
(* a (+ (/ b a) (/ c d))) |
(* a (+ (/ b a) (/ c d))) |
(* a (+ (/ b a) (/ c d))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ a (+ (pow c 2) (pow d 2))) |
(/ a (+ (pow c 2) (pow d 2))) |
(/ a (+ (pow c 2) (pow d 2))) |
(/ a (+ (pow c 2) (pow d 2))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a c) |
(* a (+ c (/ (* b d) a))) |
(* a (+ c (/ (* b d) a))) |
(* a (+ c (/ (* b d) a))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(/ a c) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(/ (* a c) (pow d 2)) |
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2)))))) |
(/ (* a c) d) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d))))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ a (+ (pow c 2) (pow d 2))) |
(/ a (+ (pow c 2) (pow d 2))) |
(/ a (+ (pow c 2) (pow d 2))) |
(/ a (+ (pow c 2) (pow d 2))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* a c) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (* b d) a))))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(/ a c) |
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(/ (* a c) (pow d 2)) |
(/ (+ (* a c) (* b d)) (pow d 2)) |
(/ (+ (* a c) (* b d)) (pow d 2)) |
(/ (+ (* a c) (* b d)) (pow d 2)) |
(/ (* a c) d) |
(/ (+ (* a c) (* b d)) d) |
(/ (+ (* a c) (* b d)) d) |
(/ (+ (* a c) (* b d)) d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(/ a c) |
(+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c)) |
(+ (* (pow d 2) (- (/ (* a (pow d 2)) (pow c 5)) (/ a (pow c 3)))) (/ a c)) |
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* a (pow d 2)) (pow c 7))) (* -1 (/ a (pow c 5))))) (/ a (pow c 3)))) (/ a c)) |
(/ a (pow c 2)) |
(+ (* -1 (/ (* a (pow d 2)) (pow c 4))) (/ a (pow c 2))) |
(+ (* (pow d 2) (- (/ (* a (pow d 2)) (pow c 6)) (/ a (pow c 4)))) (/ a (pow c 2))) |
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* a (pow d 2)) (pow c 8))) (* -1 (/ a (pow c 6))))) (/ a (pow c 4)))) (/ a (pow c 2))) |
(pow c 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(* a c) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b d)) |
(+ (* a c) (* b 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)) |
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(/ d (pow c 2)) |
(/ d (pow c 2)) |
(/ d (pow c 2)) |
(/ d (pow c 2)) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ b d) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/ b d) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (/ (* a c) d)) d) |
b |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ b d) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/ (* a c) (pow d 2)) |
(/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2)) |
(/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2)) |
(/ (- (+ (* -1 (/ (* a (pow c 7)) (pow d 6))) (* a c)) (+ (* -1 (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2)))) (pow d 2)) |
(/ a (pow d 2)) |
(/ (+ a (* -1 (/ (* a (pow c 2)) (pow d 2)))) (pow d 2)) |
(/ (- (+ a (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2))) (pow d 2)) |
(/ (- (+ a (* -1 (/ (* a (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2)))) (pow d 2)) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(/ b d) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(* b d) |
(* d (+ b (/ (* a c) d))) |
(* d (+ b (/ (* a c) d))) |
(* d (+ b (/ (* a c) 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)))) |
(/ b d) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/ (* b d) (pow c 2)) |
(* d (+ (/ a (* c d)) (/ b (pow c 2)))) |
(* d (+ (/ a (* c d)) (/ b (pow c 2)))) |
(* d (+ (/ a (* c d)) (/ b (pow c 2)))) |
(/ d (pow c 2)) |
(/ d (pow c 2)) |
(/ d (pow c 2)) |
(/ d (pow c 2)) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(/ b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
b |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ c d) |
(/ b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(/ b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(/ (* a c) (pow d 2)) |
(/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2)) |
(/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2)) |
(/ (- (+ (* -1 (/ (* a (pow c 7)) (pow d 6))) (* a c)) (+ (* -1 (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2)))) (pow d 2)) |
(/ a (pow d 2)) |
(/ (+ a (* -1 (/ (* a (pow c 2)) (pow d 2)))) (pow d 2)) |
(/ (- (+ a (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2))) (pow d 2)) |
(/ (- (+ a (* -1 (/ (* a (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2)))) (pow d 2)) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(/ b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(* b d) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) 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)))) |
(/ b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(/ (* b d) (pow c 2)) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(/ d (pow c 2)) |
(/ d (pow c 2)) |
(/ d (pow c 2)) |
(/ d (pow c 2)) |
(/ d c) |
(/ d c) |
(/ d c) |
(/ d c) |
| Outputs |
|---|
(/ b d) |
(/.f64 b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d)) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 3 binary64))) (neg.f64 b) (/.f64 a (*.f64 d d))) c (/.f64 b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) a (/.f64 b (pow.f64 d #s(literal 3 binary64))))) c (/.f64 a (*.f64 d d))) c (/.f64 b d)) |
(/ b d) |
(/.f64 b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d)) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d)) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d)) |
b |
(+ b (/ (* a c) d)) |
(fma.f64 (/.f64 a d) c b) |
(+ b (/ (* a c) d)) |
(fma.f64 (/.f64 a d) c b) |
(+ b (/ (* a c) d)) |
(fma.f64 (/.f64 a d) c b) |
(/ c d) |
(/.f64 c d) |
(/ c d) |
(/.f64 c d) |
(/ c d) |
(/.f64 c d) |
(/ c d) |
(/.f64 c d) |
(/ b d) |
(/.f64 b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d)) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 3 binary64))) (neg.f64 b) (/.f64 a (*.f64 d d))) c (/.f64 b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) a (/.f64 b (pow.f64 d #s(literal 3 binary64))))) c (/.f64 a (*.f64 d d))) c (/.f64 b d)) |
(/ b d) |
(/.f64 b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d)) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 3 binary64))) (neg.f64 b) (/.f64 a (*.f64 d d))) c (/.f64 b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) a (/.f64 b (pow.f64 d #s(literal 3 binary64))))) c (/.f64 a (*.f64 d d))) c (/.f64 b d)) |
(/ (* a c) (pow d 2)) |
(*.f64 (/.f64 (/.f64 c d) d) a) |
(* c (+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2)))) |
(fma.f64 (/.f64 (/.f64 c d) d) a (*.f64 (/.f64 (neg.f64 a) d) (pow.f64 (/.f64 c d) #s(literal 3 binary64)))) |
(* c (+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2)))) |
(fma.f64 (/.f64 (/.f64 c d) d) a (*.f64 (pow.f64 c #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 c c) (/.f64 a (pow.f64 d #s(literal 6 binary64)))) (/.f64 a (pow.f64 d #s(literal 4 binary64)))))) |
(* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* a (pow c 2)) (pow d 8))) (* -1 (/ a (pow d 6))))) (/ a (pow d 4)))) (/ a (pow d 2)))) |
(fma.f64 (/.f64 (/.f64 c d) d) a (*.f64 (pow.f64 c #s(literal 3 binary64)) (-.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 c) c) (/.f64 a (pow.f64 d #s(literal 8 binary64))) (/.f64 a (pow.f64 d #s(literal 6 binary64)))) (*.f64 c c)) (/.f64 a (pow.f64 d #s(literal 4 binary64)))))) |
(/ a (pow d 2)) |
(/.f64 a (*.f64 d d)) |
(+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2))) |
(fma.f64 (*.f64 (neg.f64 c) c) (/.f64 a (pow.f64 d #s(literal 4 binary64))) (/.f64 a (*.f64 d d))) |
(+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2))) |
(fma.f64 (-.f64 (*.f64 (*.f64 c c) (/.f64 a (pow.f64 d #s(literal 6 binary64)))) (/.f64 a (pow.f64 d #s(literal 4 binary64)))) (*.f64 c c) (/.f64 a (*.f64 d d))) |
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* a (pow c 2)) (pow d 8))) (* -1 (/ a (pow d 6))))) (/ a (pow d 4)))) (/ a (pow d 2))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 c) c) (/.f64 a (pow.f64 d #s(literal 8 binary64))) (/.f64 a (pow.f64 d #s(literal 6 binary64)))) (*.f64 c c)) (/.f64 a (pow.f64 d #s(literal 4 binary64)))) (*.f64 c c) (/.f64 a (*.f64 d d))) |
(pow d 2) |
(*.f64 d d) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(/ b d) |
(/.f64 b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d)) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 3 binary64))) (neg.f64 b) (/.f64 a (*.f64 d d))) c (/.f64 b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) a (/.f64 b (pow.f64 d #s(literal 3 binary64))))) c (/.f64 a (*.f64 d d))) c (/.f64 b d)) |
(* b d) |
(*.f64 d b) |
(+ (* a c) (* b d)) |
(fma.f64 c a (*.f64 d b)) |
(+ (* a c) (* b d)) |
(fma.f64 c a (*.f64 d b)) |
(+ (* a c) (* b d)) |
(fma.f64 c a (*.f64 d 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)) |
(/ b d) |
(/.f64 b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d)) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 3 binary64))) (neg.f64 b) (/.f64 a (*.f64 d d))) c (/.f64 b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) a (/.f64 b (pow.f64 d #s(literal 3 binary64))))) c (/.f64 a (*.f64 d d))) c (/.f64 b d)) |
(/ (* b d) (pow c 2)) |
(*.f64 (/.f64 (/.f64 b c) c) d) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/.f64 (/.f64 (fma.f64 c a (*.f64 d b)) c) c) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/.f64 (/.f64 (fma.f64 c a (*.f64 d b)) c) c) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/.f64 (/.f64 (fma.f64 c a (*.f64 d b)) c) c) |
(/ d (pow c 2)) |
(/.f64 d (*.f64 c c)) |
(/ d (pow c 2)) |
(/.f64 d (*.f64 c c)) |
(/ d (pow c 2)) |
(/.f64 d (*.f64 c c)) |
(/ d (pow c 2)) |
(/.f64 d (*.f64 c c)) |
(/ d c) |
(/.f64 d c) |
(/ d c) |
(/.f64 d c) |
(/ d c) |
(/.f64 d c) |
(/ d c) |
(/.f64 d c) |
(/ a c) |
(/.f64 a c) |
(/ a c) |
(/.f64 a c) |
(/ a c) |
(/.f64 a c) |
(/ a c) |
(/.f64 a c) |
(/ a c) |
(/.f64 a c) |
(/ (+ a (/ (* b d) c)) c) |
(/.f64 (fma.f64 (/.f64 d c) b a) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 d) d) c) a (*.f64 d b)) c) a) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/.f64 (fma.f64 (/.f64 (neg.f64 a) c) (*.f64 d (/.f64 d c)) (fma.f64 b (-.f64 (/.f64 d c) (pow.f64 (/.f64 d c) #s(literal 3 binary64))) a)) c) |
(/ (* a c) (pow d 2)) |
(*.f64 (/.f64 (/.f64 c d) d) a) |
(* c (+ (/ a (pow d 2)) (/ b (* c d)))) |
(*.f64 (+.f64 (/.f64 (/.f64 b d) c) (/.f64 a (*.f64 d d))) c) |
(* c (+ (/ a (pow d 2)) (/ b (* c d)))) |
(*.f64 (+.f64 (/.f64 (/.f64 b d) c) (/.f64 a (*.f64 d d))) c) |
(* c (+ (/ a (pow d 2)) (/ b (* c d)))) |
(*.f64 (+.f64 (/.f64 (/.f64 b d) c) (/.f64 a (*.f64 d d))) c) |
(/ (* a c) d) |
(/.f64 (*.f64 c a) d) |
(* c (+ (/ a d) (/ b c))) |
(*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) c) |
(* c (+ (/ a d) (/ b c))) |
(*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) c) |
(* c (+ (/ a d) (/ b c))) |
(*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) c) |
(/ c d) |
(/.f64 c d) |
(/ c d) |
(/.f64 c d) |
(/ c d) |
(/.f64 c d) |
(/ c d) |
(/.f64 c d) |
(/ a c) |
(/.f64 a c) |
(/ (+ a (/ (* b d) c)) c) |
(/.f64 (fma.f64 (/.f64 d c) b a) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 d) d) c) a (*.f64 d b)) c) a) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/.f64 (fma.f64 (/.f64 (neg.f64 a) c) (*.f64 d (/.f64 d c)) (fma.f64 b (-.f64 (/.f64 d c) (pow.f64 (/.f64 d c) #s(literal 3 binary64))) a)) c) |
(/ a c) |
(/.f64 a c) |
(/ (+ a (/ (* b d) c)) c) |
(/.f64 (fma.f64 (/.f64 d c) b a) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 d) d) c) a (*.f64 d b)) c) a) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/.f64 (fma.f64 (/.f64 (neg.f64 a) c) (*.f64 d (/.f64 d c)) (fma.f64 b (-.f64 (/.f64 d c) (pow.f64 (/.f64 d c) #s(literal 3 binary64))) a)) c) |
(/ a c) |
(/.f64 a c) |
(/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) c) |
(/.f64 (*.f64 a (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal -1 binary64))) (neg.f64 c)) |
(/ (- (+ a (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/.f64 (fma.f64 a (-.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (*.f64 d (/.f64 d (*.f64 c c)))) a) c) |
(/ (- (+ a (* -1 (/ (* a (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c) |
(/.f64 (fma.f64 a (-.f64 (fma.f64 (/.f64 d c) (/.f64 d c) (/.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (neg.f64 a)) (neg.f64 c)) |
(/ a (pow c 2)) |
(/.f64 (/.f64 a c) c) |
(/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) (pow c 2)) |
(/.f64 (*.f64 (neg.f64 a) (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal -1 binary64))) (*.f64 c c)) |
(/ (- (+ a (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2))) (pow c 2)) |
(/.f64 (fma.f64 a (-.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (*.f64 d (/.f64 d (*.f64 c c)))) a) (*.f64 c c)) |
(/ (- (+ a (* -1 (/ (* a (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) (pow c 2)) |
(/.f64 (/.f64 (fma.f64 a (-.f64 (fma.f64 (/.f64 d c) (/.f64 d c) (/.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (neg.f64 a)) (neg.f64 c)) c) |
(pow c 2) |
(*.f64 c c) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal 1 binary64)) c) c) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal 1 binary64)) c) c) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal 1 binary64)) c) c) |
(/ a c) |
(/.f64 a c) |
(/ (+ a (/ (* b d) c)) c) |
(/.f64 (fma.f64 (/.f64 d c) b a) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 d) d) c) a (*.f64 d b)) c) a) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/.f64 (fma.f64 (/.f64 (neg.f64 a) c) (*.f64 d (/.f64 d c)) (fma.f64 b (-.f64 (/.f64 d c) (pow.f64 (/.f64 d c) #s(literal 3 binary64))) a)) c) |
(* a c) |
(*.f64 c a) |
(* c (+ a (/ (* b d) c))) |
(*.f64 (fma.f64 (/.f64 d c) b a) c) |
(* c (+ a (/ (* b d) c))) |
(*.f64 (fma.f64 (/.f64 d c) b a) c) |
(* c (+ a (/ (* b d) c))) |
(*.f64 (fma.f64 (/.f64 d c) b a) c) |
(pow c 2) |
(*.f64 c c) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal 1 binary64)) c) c) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal 1 binary64)) c) c) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(*.f64 (*.f64 (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal 1 binary64)) c) c) |
(/ a c) |
(/.f64 a c) |
(/ (+ a (/ (* b d) c)) c) |
(/.f64 (fma.f64 (/.f64 d c) b a) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 d) d) c) a (*.f64 d b)) c) a) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/.f64 (fma.f64 (/.f64 (neg.f64 a) c) (*.f64 d (/.f64 d c)) (fma.f64 b (-.f64 (/.f64 d c) (pow.f64 (/.f64 d c) #s(literal 3 binary64))) a)) c) |
(/ a c) |
(/.f64 a c) |
(/ (+ a (/ (* b d) c)) c) |
(/.f64 (fma.f64 (/.f64 d c) b a) c) |
(/ (+ a (/ (* b d) c)) c) |
(/.f64 (fma.f64 (/.f64 d c) b a) c) |
(/ (+ a (/ (* b d) c)) c) |
(/.f64 (fma.f64 (/.f64 d c) b a) c) |
(/ d (pow c 2)) |
(/.f64 d (*.f64 c c)) |
(/ d (pow c 2)) |
(/.f64 d (*.f64 c c)) |
(/ d (pow c 2)) |
(/.f64 d (*.f64 c c)) |
(/ d (pow c 2)) |
(/.f64 d (*.f64 c c)) |
(/ d c) |
(/.f64 d c) |
(/ d c) |
(/.f64 d c) |
(/ d c) |
(/.f64 d c) |
(/ d c) |
(/.f64 d c) |
(/ a c) |
(/.f64 a c) |
(/ a c) |
(/.f64 a c) |
(/ a c) |
(/.f64 a c) |
(/ a c) |
(/.f64 a c) |
(/ a c) |
(/.f64 a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(/.f64 (fma.f64 (/.f64 d c) b a) c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 d) d) c) a (*.f64 d b)) c) a) c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(/.f64 (+.f64 (/.f64 (fma.f64 d b (/.f64 (fma.f64 (*.f64 d d) a (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) (neg.f64 c))) c) a) c) |
(/ (* a c) (pow d 2)) |
(*.f64 (/.f64 (/.f64 c d) d) a) |
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))))) |
(*.f64 (+.f64 (/.f64 (/.f64 b d) c) (/.f64 a (*.f64 d d))) c) |
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))))) |
(*.f64 (+.f64 (/.f64 (/.f64 b d) c) (/.f64 a (*.f64 d d))) c) |
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))))) |
(*.f64 (+.f64 (/.f64 (/.f64 b d) c) (/.f64 a (*.f64 d d))) c) |
(/ (* a c) d) |
(/.f64 (*.f64 c a) d) |
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) c) |
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) c) |
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(*.f64 (+.f64 (/.f64 b c) (/.f64 a d)) c) |
(/ c d) |
(/.f64 c d) |
(/ c d) |
(/.f64 c d) |
(/ c d) |
(/.f64 c d) |
(/ c d) |
(/.f64 c d) |
(/ a c) |
(/.f64 a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(/.f64 (fma.f64 (/.f64 d c) b a) c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 d) d) c) a (*.f64 d b)) c) a) c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(/.f64 (+.f64 (/.f64 (fma.f64 d b (/.f64 (fma.f64 (*.f64 d d) a (/.f64 (*.f64 (pow.f64 d #s(literal 3 binary64)) b) c)) (neg.f64 c))) c) a) c) |
(/ a c) |
(/.f64 a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(/.f64 (fma.f64 (/.f64 d c) b a) c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
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(*.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) |
(/ b d) |
(/.f64 b d) |
(/ (+ b (/ (* a c) d)) d) |
(/.f64 (fma.f64 (/.f64 a d) c b) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 c (/.f64 c (neg.f64 d))) b (*.f64 c a)) d) b) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/.f64 (fma.f64 (/.f64 (neg.f64 b) d) (*.f64 c (/.f64 c d)) (fma.f64 a (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) b)) d) |
(* b d) |
(*.f64 d b) |
(* d (+ b (/ (* a c) d))) |
(*.f64 (fma.f64 (/.f64 a d) c b) d) |
(* d (+ b (/ (* a c) d))) |
(*.f64 (fma.f64 (/.f64 a d) c b) d) |
(* d (+ b (/ (* a c) d))) |
(*.f64 (fma.f64 (/.f64 a d) c b) d) |
(* b d) |
(*.f64 d b) |
(* b d) |
(*.f64 d b) |
(* b d) |
(*.f64 d b) |
(* b d) |
(*.f64 d b) |
(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) |
(/ b d) |
(/.f64 b d) |
(/ (+ b (/ (* a c) d)) d) |
(/.f64 (fma.f64 (/.f64 a d) c b) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 c (/.f64 c (neg.f64 d))) b (*.f64 c a)) d) b) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/.f64 (fma.f64 (/.f64 (neg.f64 b) d) (*.f64 c (/.f64 c d)) (fma.f64 a (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64))) b)) d) |
(/ (* b d) (pow c 2)) |
(*.f64 (/.f64 (/.f64 b c) c) d) |
(* d (+ (/ a (* c d)) (/ b (pow c 2)))) |
(*.f64 (+.f64 (/.f64 (/.f64 a d) c) (/.f64 (/.f64 b c) c)) d) |
(* d (+ (/ a (* c d)) (/ b (pow c 2)))) |
(*.f64 (+.f64 (/.f64 (/.f64 a d) c) (/.f64 (/.f64 b c) c)) d) |
(* d (+ (/ a (* c d)) (/ b (pow c 2)))) |
(*.f64 (+.f64 (/.f64 (/.f64 a d) c) (/.f64 (/.f64 b c) c)) d) |
(/ d (pow c 2)) |
(/.f64 d (*.f64 c c)) |
(/ d (pow c 2)) |
(/.f64 d (*.f64 c c)) |
(/ d (pow c 2)) |
(/.f64 d (*.f64 c c)) |
(/ d (pow c 2)) |
(/.f64 d (*.f64 c c)) |
(/ d c) |
(/.f64 d c) |
(/ d c) |
(/.f64 d c) |
(/ d c) |
(/.f64 d c) |
(/ d c) |
(/.f64 d c) |
(/ b d) |
(/.f64 b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(/.f64 (fma.f64 (/.f64 a d) c b) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 c (/.f64 c (neg.f64 d))) b (*.f64 c a)) d) b) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(/.f64 (+.f64 (/.f64 (fma.f64 c a (/.f64 (fma.f64 (*.f64 c c) b (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) d)) (neg.f64 d))) d) b) d) |
(/ b d) |
(/.f64 b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(/.f64 (fma.f64 (/.f64 a d) c b) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(/.f64 (fma.f64 (/.f64 a d) c b) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(/.f64 (fma.f64 (/.f64 a d) c b) d) |
b |
(+ b (/ (* a c) d)) |
(fma.f64 (/.f64 a d) c b) |
(+ b (/ (* a c) d)) |
(fma.f64 (/.f64 a d) c b) |
(+ b (/ (* a c) d)) |
(fma.f64 (/.f64 a d) c b) |
(/ c d) |
(/.f64 c d) |
(/ c d) |
(/.f64 c d) |
(/ c d) |
(/.f64 c d) |
(/ c d) |
(/.f64 c d) |
(/ b d) |
(/.f64 b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(/.f64 (fma.f64 (/.f64 a d) c b) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 c (/.f64 c (neg.f64 d))) b (*.f64 c a)) d) b) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(/.f64 (+.f64 (/.f64 (fma.f64 c a (/.f64 (fma.f64 (*.f64 c c) b (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) d)) (neg.f64 d))) d) b) d) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(/ b d) |
(/.f64 b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(/.f64 (fma.f64 (/.f64 a d) c b) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 c (/.f64 c (neg.f64 d))) b (*.f64 c a)) d) b) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(/.f64 (+.f64 (/.f64 (fma.f64 c a (/.f64 (fma.f64 (*.f64 c c) b (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) d)) (neg.f64 d))) d) b) d) |
(/ (* a c) (pow d 2)) |
(*.f64 (/.f64 (/.f64 c d) d) a) |
(/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2)) |
(/.f64 (*.f64 a (-.f64 (/.f64 c d) (pow.f64 (/.f64 c d) #s(literal 3 binary64)))) d) |
(/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2)) |
(/.f64 (*.f64 a (+.f64 (-.f64 (/.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) d) d)) c)) (*.f64 d d)) |
(/ (- (+ (* -1 (/ (* a (pow c 7)) (pow d 6))) (* a c)) (+ (* -1 (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2)))) (pow d 2)) |
(/.f64 (fma.f64 a (-.f64 c (/.f64 (pow.f64 c #s(literal 7 binary64)) (pow.f64 d #s(literal 6 binary64)))) (*.f64 a (-.f64 (/.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 d #s(literal 4 binary64))) (/.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) d) d)))) (*.f64 d d)) |
(/ a (pow d 2)) |
(/.f64 a (*.f64 d d)) |
(/ (+ a (* -1 (/ (* a (pow c 2)) (pow d 2)))) (pow d 2)) |
(fma.f64 (*.f64 (neg.f64 c) c) (/.f64 a (pow.f64 d #s(literal 4 binary64))) (/.f64 a (*.f64 d d))) |
(/ (- (+ a (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2))) (pow d 2)) |
(/.f64 (fma.f64 a (-.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (*.f64 c (/.f64 (/.f64 c d) d))) a) (*.f64 d d)) |
(/ (- (+ a (* -1 (/ (* a (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2)))) (pow d 2)) |
(/.f64 (fma.f64 (neg.f64 (pow.f64 c #s(literal 6 binary64))) (/.f64 a (pow.f64 d #s(literal 6 binary64))) (fma.f64 a (-.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (*.f64 c (/.f64 (/.f64 c d) d))) a)) (*.f64 d d)) |
(pow d 2) |
(*.f64 d d) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(*.f64 (*.f64 (fma.f64 (/.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) |
(/ b d) |
(/.f64 b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(/.f64 (fma.f64 (/.f64 a d) c b) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 c (/.f64 c (neg.f64 d))) b (*.f64 c a)) d) b) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(/.f64 (+.f64 (/.f64 (fma.f64 c a (/.f64 (fma.f64 (*.f64 c c) b (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) d)) (neg.f64 d))) d) b) d) |
(* b d) |
(*.f64 d b) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(*.f64 (fma.f64 (/.f64 a d) c b) d) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(*.f64 (fma.f64 (/.f64 a d) c b) d) |
(* -1 (* d (+ (* -1 b) (* -1 (/ (* a c) d))))) |
(*.f64 (fma.f64 (/.f64 a d) c b) d) |
(* b d) |
(*.f64 d b) |
(* b d) |
(*.f64 d b) |
(* b d) |
(*.f64 d b) |
(* b d) |
(*.f64 d b) |
(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) |
(/ b d) |
(/.f64 b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(/.f64 (fma.f64 (/.f64 a d) c b) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 c (/.f64 c (neg.f64 d))) b (*.f64 c a)) d) b) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(/.f64 (+.f64 (/.f64 (fma.f64 c a (/.f64 (fma.f64 (*.f64 c c) b (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) d)) (neg.f64 d))) d) b) d) |
(/ (* b d) (pow c 2)) |
(*.f64 (/.f64 (/.f64 b c) c) d) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(*.f64 (+.f64 (/.f64 (/.f64 a d) c) (/.f64 (/.f64 b c) c)) d) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(*.f64 (+.f64 (/.f64 (/.f64 a d) c) (/.f64 (/.f64 b c) c)) d) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(*.f64 (+.f64 (/.f64 (/.f64 a d) c) (/.f64 (/.f64 b c) c)) d) |
(/ d (pow c 2)) |
(/.f64 d (*.f64 c c)) |
(/ d (pow c 2)) |
(/.f64 d (*.f64 c c)) |
(/ d (pow c 2)) |
(/.f64 d (*.f64 c c)) |
(/ d (pow c 2)) |
(/.f64 d (*.f64 c c)) |
(/ d c) |
(/.f64 d c) |
(/ d c) |
(/.f64 d c) |
(/ d c) |
(/.f64 d c) |
(/ d c) |
(/.f64 d c) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 210 |
| 0 | 48 | 210 |
| 1 | 164 | 210 |
| 2 | 1193 | 210 |
| 0 | 8442 | 204 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) |
(/.f64 (fma.f64 (/.f64 c d) a b) d) |
(fma.f64 (/.f64 c d) a b) |
(/.f64 c d) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
(/.f64 b d) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c)) |
(*.f64 (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c) |
(/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (+ (* c c) (* d d)) (*.f64 d d)) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (fma.f64 c c (*.f64 d d))) |
#s(approx (+ (* a c) (* b d)) (*.f64 d b)) |
(*.f64 d b) |
(fma.f64 c c (*.f64 d d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 d c) c) b (/.f64 a c))) |
(fma.f64 (/.f64 (/.f64 d c) c) b (/.f64 a c)) |
(/.f64 (/.f64 d c) c) |
(/.f64 d c) |
(/.f64 a c) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) |
(*.f64 (pow.f64 (/.f64 d (fma.f64 (/.f64 c d) a b)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 d (fma.f64 (/.f64 c d) a b)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (fma.f64 b (-.f64 b (*.f64 (/.f64 c d) a)) (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64))) d) (/.f64 (fma.f64 (/.f64 c d) a b) (fma.f64 b (-.f64 b (*.f64 (/.f64 c d) a)) (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (/.f64 d (-.f64 (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64)) (*.f64 b b))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 c d) a (neg.f64 b)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 d (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 b (-.f64 b (*.f64 (/.f64 c d) a)) (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64)) (*.f64 b b)) d) (pow.f64 (fma.f64 (/.f64 c d) a (neg.f64 b)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 3 binary64))) d) (pow.f64 (fma.f64 b (-.f64 b (*.f64 (/.f64 c d) a)) (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 d (fma.f64 (/.f64 c d) a b))))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) d)) |
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 c d) a (neg.f64 b)) d))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64)) (*.f64 b b)) (/.f64 #s(literal 1 binary64) (*.f64 d (fma.f64 (/.f64 c d) a (neg.f64 b))))) |
(*.f64 (pow.f64 d #s(literal -1 binary64)) (fma.f64 (/.f64 c d) a b)) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 c d) a b) d)) |
(*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 b (-.f64 b (*.f64 (/.f64 c d) a)) (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64))) d))) |
(*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 d (fma.f64 b (-.f64 b (*.f64 (/.f64 c d) a)) (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64)))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 c d) a b)) (/.f64 #s(literal -1 binary64) d)) |
(*.f64 (/.f64 (fma.f64 (/.f64 c d) a b) d) (/.f64 (fma.f64 (/.f64 c d) a (neg.f64 b)) (fma.f64 (/.f64 c d) a (neg.f64 b)))) |
(*.f64 (fma.f64 (/.f64 c d) a b) (pow.f64 d #s(literal -1 binary64))) |
(pow.f64 (/.f64 d (fma.f64 (/.f64 c d) a b)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64)) (*.f64 b b)) d)) (neg.f64 (fma.f64 (/.f64 c d) a (neg.f64 b)))) |
(/.f64 (neg.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 3 binary64))) d)) (neg.f64 (fma.f64 b (-.f64 b (*.f64 (/.f64 c d) a)) (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64)) (*.f64 b b)) d) (fma.f64 (/.f64 c d) a (neg.f64 b))) |
(/.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 3 binary64))) d) (fma.f64 b (-.f64 b (*.f64 (/.f64 c d) a)) (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64)) (*.f64 b b))) (neg.f64 (*.f64 (fma.f64 (/.f64 c d) a (neg.f64 b)) d))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64)) (*.f64 b b))) (neg.f64 (*.f64 d (fma.f64 (/.f64 c d) a (neg.f64 b))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 3 binary64)))) (neg.f64 (*.f64 (fma.f64 b (-.f64 b (*.f64 (/.f64 c d) a)) (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64))) d))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 3 binary64)))) (neg.f64 (*.f64 d (fma.f64 b (-.f64 b (*.f64 (/.f64 c d) a)) (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 d (fma.f64 (/.f64 c d) a b)))) |
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(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (/.f64 c d) a b) #s(literal -1 binary64))) |
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(fma.f64 (/.f64 a (pow.f64 c #s(literal -1 binary64))) (pow.f64 d #s(literal -1 binary64)) b) |
(fma.f64 (/.f64 a #s(literal 1 binary64)) (/.f64 c d) b) |
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(fma.f64 (neg.f64 (*.f64 c a)) (/.f64 #s(literal -1 binary64) d) b) |
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(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 c d) a) b) |
(fma.f64 #s(literal 1 binary64) b (*.f64 (/.f64 c d) a)) |
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(fma.f64 c (/.f64 a d) b) |
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(fma.f64 a (/.f64 c d) b) |
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(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (/.f64 c d) a b))) |
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(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 a) c) (*.f64 (/.f64 (/.f64 d c) c) b)) |
(fma.f64 (*.f64 (/.f64 d c) b) (pow.f64 c #s(literal -1 binary64)) (/.f64 a c)) |
(fma.f64 (pow.f64 c #s(literal -1 binary64)) (pow.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 d c) c) b)) |
(fma.f64 (pow.f64 c #s(literal -1 binary64)) (*.f64 (/.f64 d c) b) (/.f64 a c)) |
(fma.f64 (pow.f64 c #s(literal -1 binary64)) a (*.f64 (/.f64 (/.f64 d c) c) b)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 d c) c) b) (/.f64 a c)) |
(fma.f64 #s(literal 1 binary64) (/.f64 a c) (*.f64 (/.f64 (/.f64 d c) c) b)) |
(fma.f64 (pow.f64 (*.f64 (/.f64 (/.f64 d c) c) b) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 (/.f64 d c) b (neg.f64 a)) c) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (/.f64 a c) #s(literal 2 binary64)) (/.f64 (fma.f64 (/.f64 d c) b (neg.f64 a)) c)))) |
(fma.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c) (*.f64 (/.f64 (/.f64 d c) c) b)) |
(fma.f64 (/.f64 (neg.f64 d) c) (/.f64 b (neg.f64 c)) (/.f64 a c)) |
(fma.f64 (*.f64 (/.f64 (/.f64 d c) c) b) #s(literal 1 binary64) (/.f64 a c)) |
(fma.f64 (/.f64 a c) #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 d c) c) b)) |
(fma.f64 (/.f64 (/.f64 d c) c) b (/.f64 a c)) |
(fma.f64 (/.f64 d c) (/.f64 b c) (/.f64 a c)) |
(fma.f64 (/.f64 d c) (*.f64 (pow.f64 c #s(literal -1 binary64)) b) (/.f64 a c)) |
(fma.f64 (*.f64 d b) (pow.f64 c #s(literal -2 binary64)) (/.f64 a c)) |
(fma.f64 b (/.f64 (/.f64 d c) c) (/.f64 a c)) |
(fma.f64 a (pow.f64 c #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 d c) c) b)) |
(-.f64 (/.f64 (pow.f64 (/.f64 a c) #s(literal 2 binary64)) (/.f64 (-.f64 a (*.f64 (/.f64 d c) b)) c)) (/.f64 (pow.f64 (*.f64 (/.f64 (/.f64 d c) c) b) #s(literal 2 binary64)) (/.f64 (-.f64 a (*.f64 (/.f64 d c) b)) c))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (/.f64 d c) c) b) #s(literal 2 binary64)) (/.f64 (fma.f64 (/.f64 d c) b (neg.f64 a)) c)) (/.f64 (pow.f64 (/.f64 a c) #s(literal 2 binary64)) (/.f64 (fma.f64 (/.f64 d c) b (neg.f64 a)) c))) |
(-.f64 (*.f64 (/.f64 (/.f64 d c) c) b) (/.f64 (neg.f64 a) c)) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (/.f64 d c) c) b) #s(literal 2 binary64)) (/.f64 (fma.f64 (/.f64 d c) b (neg.f64 a)) c)) (neg.f64 (/.f64 (pow.f64 (/.f64 a c) #s(literal 2 binary64)) (/.f64 (fma.f64 (/.f64 d c) b (neg.f64 a)) c)))) |
(+.f64 (*.f64 (/.f64 (/.f64 d c) c) b) (/.f64 a c)) |
(+.f64 (/.f64 a c) (*.f64 (/.f64 (/.f64 d c) c) b)) |
(*.f64 (pow.f64 (*.f64 (/.f64 c d) c) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 c d) c) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) d)) (/.f64 (pow.f64 c #s(literal -1 binary64)) (neg.f64 c))) |
(*.f64 (/.f64 d #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 c #s(literal -1 binary64))) c)) |
(*.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 (pow.f64 c #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) d))) |
(*.f64 (/.f64 #s(literal -1 binary64) c) (/.f64 (neg.f64 d) c)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 c d) c)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 d) c) c)) |
(*.f64 (pow.f64 c #s(literal -1 binary64)) (/.f64 d c)) |
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 d c) c)) |
(*.f64 (/.f64 (neg.f64 d) c) (/.f64 #s(literal -1 binary64) c)) |
(*.f64 (neg.f64 d) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 c c)))) |
(*.f64 (neg.f64 d) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 c) c))) |
(*.f64 (neg.f64 d) (/.f64 #s(literal 1 binary64) (*.f64 c (neg.f64 c)))) |
(*.f64 (/.f64 d c) (pow.f64 c #s(literal -1 binary64))) |
(*.f64 d (pow.f64 c #s(literal -2 binary64))) |
(pow.f64 (*.f64 (/.f64 c d) c) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (pow.f64 c #s(literal -1 binary64))) (/.f64 (neg.f64 c) d)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 c d) c))) |
(/.f64 (pow.f64 c #s(literal -1 binary64)) (/.f64 c d)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 c) c) (neg.f64 d))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 c (neg.f64 c)) (neg.f64 d))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (/.f64 c d) c)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 c d) c)) |
(/.f64 (/.f64 (neg.f64 d) c) (neg.f64 c)) |
(/.f64 (neg.f64 d) (neg.f64 (*.f64 c c))) |
(/.f64 (neg.f64 d) (*.f64 c (neg.f64 c))) |
(/.f64 (neg.f64 d) (*.f64 (neg.f64 c) c)) |
(/.f64 (/.f64 d c) c) |
(/.f64 d (neg.f64 (neg.f64 (*.f64 c c)))) |
(/.f64 d (neg.f64 (*.f64 (neg.f64 c) c))) |
(/.f64 d (neg.f64 (*.f64 c (neg.f64 c)))) |
(/.f64 d (*.f64 c c)) |
(neg.f64 (/.f64 (/.f64 (neg.f64 d) c) c)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 c c))) (/.f64 d (neg.f64 (*.f64 c c)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 c (neg.f64 c))) (/.f64 d (*.f64 c (neg.f64 c)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 c)) (/.f64 (/.f64 (neg.f64 d) c) c)) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 d) c) c)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 c d) c)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 c d) #s(literal -1/2 binary64)) (pow.f64 (/.f64 c d) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) d) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) c)) |
(*.f64 (pow.f64 (pow.f64 d #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 c #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) c) (pow.f64 (/.f64 #s(literal -1 binary64) d) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 d)) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 d) c)) |
(*.f64 (pow.f64 c #s(literal -1 binary64)) (pow.f64 (pow.f64 d #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 c #s(literal -1 binary64)) d) |
(*.f64 #s(literal 1 binary64) (/.f64 d c)) |
(*.f64 (neg.f64 d) (/.f64 #s(literal -1 binary64) c)) |
(*.f64 (/.f64 d c) #s(literal 1 binary64)) |
(*.f64 d (pow.f64 c #s(literal -1 binary64))) |
(pow.f64 (/.f64 d c) #s(literal 1 binary64)) |
(pow.f64 (/.f64 c d) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (pow.f64 c #s(literal -1 binary64))) (neg.f64 (pow.f64 d #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 c) d)) |
(/.f64 (pow.f64 c #s(literal -1 binary64)) (pow.f64 d #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 c d)) |
(/.f64 (/.f64 (neg.f64 d) c) #s(literal -1 binary64)) |
(/.f64 (neg.f64 d) (neg.f64 c)) |
(/.f64 (/.f64 d c) #s(literal 1 binary64)) |
(/.f64 d c) |
(neg.f64 (/.f64 (neg.f64 d) c)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 c)) (/.f64 (neg.f64 d) c)) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 d) c)) |
(exp.f64 (*.f64 (log.f64 (/.f64 c d)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 c a) #s(literal -1/2 binary64)) (pow.f64 (/.f64 c a) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 c a)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 a) c)) |
(*.f64 (pow.f64 c #s(literal -1 binary64)) (pow.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 c #s(literal -1 binary64)) a) |
(*.f64 #s(literal 1 binary64) (/.f64 a c)) |
(*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c)) |
(*.f64 (/.f64 a c) #s(literal 1 binary64)) |
(*.f64 a (pow.f64 c #s(literal -1 binary64))) |
(pow.f64 (/.f64 c a) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 c a))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 c a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 c a)) |
(/.f64 (neg.f64 a) (neg.f64 c)) |
(/.f64 a c) |
(neg.f64 (/.f64 (neg.f64 a) c)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 c)) (/.f64 (neg.f64 a) c)) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 a) c)) |
(exp.f64 (*.f64 (log.f64 (/.f64 c a)) #s(literal -1 binary64))) |
Compiled 19 211 to 2 127 computations (88.9% saved)
20 alts after pruning (14 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 182 | 7 | 1 189 |
| Fresh | 4 | 7 | 11 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 187 | 20 | 1 207 |
| Status | Accuracy | Program |
|---|---|---|
| 33.4% | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| ✓ | 36.4% | (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (fma.f64 c c (*.f64 d d))) |
| 35.6% | (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 (*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) d) d))) | |
| 19.1% | (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| ✓ | 49.1% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 d c) c) b (/.f64 a c))) |
| ✓ | 57.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) |
| ▶ | 50.9% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) |
| 19.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c a) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) | |
| ▶ | 21.0% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d)) |
| ✓ | 44.5% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
| ✓ | 43.3% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
| 32.6% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64)) (*.f64 b b)) d) (pow.f64 (fma.f64 (/.f64 c d) a (neg.f64 b)) #s(literal -1 binary64)))) | |
| 39.5% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b)) | |
| ✓ | 41.2% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c)) |
| ▶ | 31.3% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) |
| 44.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d))) | |
| ▶ | 43.2% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c))) |
| 19.2% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))))) | |
| 20.3% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ c d) a) b) d) (*.f64 (/.f64 (/.f64 c d) d) a))) | |
| ▶ | 21.7% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ (/ d c) c) b) (/ a c)) (*.f64 (/.f64 (/.f64 b c) c) d))) |
Compiled 352 to 323 computations (8.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (*.f64 c a) d) | |
| cost-diff | 0 | #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d) | |
| cost-diff | 0 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d)) | |
| cost-diff | 0 | (/.f64 (/.f64 b c) c) | |
| cost-diff | 0 | (*.f64 (/.f64 (/.f64 b c) c) d) | |
| cost-diff | 0 | #s(approx (+ (* (/ (/ d c) c) b) (/ a c)) (*.f64 (/.f64 (/.f64 b c) c) d)) | |
| cost-diff | 0 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ (/ d c) c) b) (/ a c)) (*.f64 (/.f64 (/.f64 b c) c) d))) | |
| cost-diff | 0 | #s(approx (+ (* c c) (* d d)) (*.f64 c c)) | |
| cost-diff | 0 | (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| cost-diff | 0 | (*.f64 (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c) | |
| cost-diff | 0 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) c) | |
| cost-diff | 0 | (neg.f64 a) | |
| cost-diff | 0 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c))) | |
| cost-diff | 448 | (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c)) | |
| cost-diff | 0 | (/.f64 b c) | |
| cost-diff | 0 | (fma.f64 (/.f64 b c) d a) | |
| cost-diff | 0 | (/.f64 (fma.f64 (/.f64 b c) d a) c) | |
| cost-diff | 0 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 298 |
| 0 | 57 | 298 |
| 1 | 88 | 296 |
| 2 | 114 | 292 |
| 3 | 147 | 292 |
| 4 | 305 | 286 |
| 5 | 685 | 286 |
| 6 | 1329 | 286 |
| 7 | 2123 | 286 |
| 8 | 2966 | 286 |
| 9 | 3510 | 286 |
| 10 | 3826 | 286 |
| 11 | 3866 | 286 |
| 12 | 3887 | 286 |
| 13 | 3909 | 286 |
| 14 | 3970 | 286 |
| 15 | 4134 | 286 |
| 16 | 4174 | 286 |
| 17 | 4174 | 286 |
| 0 | 4174 | 269 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) |
(/.f64 (fma.f64 (/.f64 b c) d a) c) |
(fma.f64 (/.f64 b c) d a) |
(/.f64 b c) |
b |
c |
d |
a |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c))) |
(*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c)) |
(neg.f64 a) |
a |
(/.f64 #s(literal -1 binary64) c) |
#s(literal -1 binary64) |
c |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) |
(*.f64 (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c) |
(/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
a |
#s(approx (+ (* c c) (* d d)) (*.f64 c c)) |
(*.f64 c c) |
c |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ (/ d c) c) b) (/ a c)) (*.f64 (/.f64 (/.f64 b c) c) d))) |
#s(approx (+ (* (/ (/ d c) c) b) (/ a c)) (*.f64 (/.f64 (/.f64 b c) c) d)) |
(*.f64 (/.f64 (/.f64 b c) c) d) |
(/.f64 (/.f64 b c) c) |
(/.f64 b c) |
b |
c |
d |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d)) |
(/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d) |
#s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) |
(/.f64 (*.f64 c a) d) |
(*.f64 c a) |
c |
a |
d |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) |
(/.f64 (fma.f64 (/.f64 b c) d a) c) |
(fma.f64 (/.f64 b c) d a) |
(/.f64 b c) |
b |
c |
d |
a |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
(*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c)) |
(/.f64 a c) |
(neg.f64 a) |
a |
(/.f64 #s(literal -1 binary64) c) |
#s(literal -1 binary64) |
c |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c a) #s(approx (+ (* c c) (* d d)) (*.f64 c c)))) |
(*.f64 (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c) |
(/.f64 (*.f64 c a) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
(/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
a |
#s(approx (+ (* c c) (* d d)) (*.f64 c c)) |
(*.f64 c c) |
c |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ (/ d c) c) b) (/ a c)) (*.f64 (/.f64 (/.f64 b c) c) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ (/ d c) c) b) (/ a c)) (*.f64 (/.f64 (/.f64 d c) c) b))) |
#s(approx (+ (* (/ (/ d c) c) b) (/ a c)) (*.f64 (/.f64 (/.f64 b c) c) d)) |
#s(approx (+ (* (/ (/ d c) c) b) (/ a c)) (*.f64 (/.f64 (/.f64 d c) c) b)) |
(*.f64 (/.f64 (/.f64 b c) c) d) |
(*.f64 (/.f64 (/.f64 d c) c) b) |
(/.f64 (/.f64 b c) c) |
(/.f64 b c) |
b |
c |
d |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (*.f64 (/.f64 c d) a)) d)) |
(/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d) |
(/.f64 #s(approx (+ (* (/ c d) a) b) (*.f64 (/.f64 c d) a)) d) |
#s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) |
#s(approx (+ (* (/ c d) a) b) (*.f64 (/.f64 c d) a)) |
(/.f64 (*.f64 c a) d) |
(*.f64 (/.f64 c d) a) |
(*.f64 c a) |
c |
a |
d |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.9961768911532698 | (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d) | |
| accuracy | 3.3713916986588197 | (/.f64 (*.f64 c a) d) | |
| accuracy | 27.21477838820025 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d)) | |
| accuracy | 31.2341172736013 | #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) | |
| accuracy | 0.1484375 | (/.f64 (/.f64 b c) c) | |
| accuracy | 4.583897589277167 | (*.f64 (/.f64 (/.f64 b c) c) d) | |
| accuracy | 26.437854088649164 | #s(approx (+ (* (/ (/ d c) c) b) (/ a c)) (*.f64 (/.f64 (/.f64 b c) c) d)) | |
| accuracy | 30.91918296049579 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ (/ d c) c) b) (/ a c)) (*.f64 (/.f64 (/.f64 b c) c) d))) | |
| accuracy | 7.577887417314192 | (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))) | |
| accuracy | 9.224468148091779 | (*.f64 (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c) | |
| accuracy | 27.41782186166211 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) | |
| accuracy | 28.75636345734261 | #s(approx (+ (* c c) (* d d)) (*.f64 c c)) | |
| accuracy | 0 | (/.f64 #s(literal -1 binary64) c) | |
| accuracy | 0 | (neg.f64 a) | |
| accuracy | 0.2265625 | (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c)) | |
| accuracy | 36.294478199922146 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c))) | |
| accuracy | 0 | (/.f64 b c) | |
| accuracy | 0.9761418834683779 | (/.f64 (fma.f64 (/.f64 b c) d a) c) | |
| accuracy | 1.9649516453137932 | (fma.f64 (/.f64 b c) d a) | |
| accuracy | 30.91918296049579 | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) |
| 80.0ms | 256× | 0 | valid |
Compiled 202 to 36 computations (82.2% saved)
ival-div: 24.0ms (48.6% of total)ival-mult: 16.0ms (32.4% of total)ival-add: 8.0ms (16.2% of total)ival-neg: 1.0ms (2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (/.f64 b c) d a) c) (patch (/.f64 (fma.f64 (/.f64 b c) d a) c) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 b c) d a) (patch (fma.f64 (/.f64 b c) d a) #<representation binary64>) () ()) |
#s(alt (/.f64 b c) (patch (/.f64 b c) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c)) (patch (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c))) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c))) #<representation binary64>) () ()) |
#s(alt (neg.f64 a) (patch (neg.f64 a) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) c) (patch (/.f64 #s(literal -1 binary64) c) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c) (patch (*.f64 (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c) #<representation binary64>) () ()) |
#s(alt (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ (/ d c) c) b) (/ a c)) (*.f64 (/.f64 (/.f64 b c) c) d))) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ (/ d c) c) b) (/ a c)) (*.f64 (/.f64 (/.f64 b c) c) d))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (/ (/ d c) c) b) (/ a c)) (*.f64 (/.f64 (/.f64 b c) c) d)) (patch #s(approx (+ (* (/ (/ d c) c) b) (/ a c)) (*.f64 (/.f64 (/.f64 b c) c) d)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (/.f64 b c) c) d) (patch (*.f64 (/.f64 (/.f64 b c) c) d) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 b c) c) (patch (/.f64 (/.f64 b c) c) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d) (patch (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) (patch #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 c a) d) (patch (/.f64 (*.f64 c a) d) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ b d) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b d) (pow c 2)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (/.f64 b c) d a) c) (patch (/.f64 (fma.f64 (/.f64 b c) d a) c) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* a c) (* b d)) (pow c 2)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (/.f64 b c) d a) c) (patch (/.f64 (fma.f64 (/.f64 b c) d a) c) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* a c) (* b d)) (pow c 2)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (/.f64 b c) d a) c) (patch (/.f64 (fma.f64 (/.f64 b c) d a) c) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* a c) (* b d)) (pow c 2)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (/.f64 b c) d a) c) (patch (/.f64 (fma.f64 (/.f64 b c) d a) c) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b d) c) (taylor 0 c) (#s(alt (fma.f64 (/.f64 b c) d a) (patch (fma.f64 (/.f64 b c) d a) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* a c) (* b d)) c) (taylor 0 c) (#s(alt (fma.f64 (/.f64 b c) d a) (patch (fma.f64 (/.f64 b c) d a) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* a c) (* b d)) c) (taylor 0 c) (#s(alt (fma.f64 (/.f64 b c) d a) (patch (fma.f64 (/.f64 b c) d a) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* a c) (* b d)) c) (taylor 0 c) (#s(alt (fma.f64 (/.f64 b c) d a) (patch (fma.f64 (/.f64 b c) d a) #<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 (/ a c) (taylor 0 c) (#s(alt (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c)) (patch (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ a c) (taylor 0 c) (#s(alt (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c)) (patch (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ a c) (taylor 0 c) (#s(alt (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c)) (patch (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ a c) (taylor 0 c) (#s(alt (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c)) (patch (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ b d) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c))) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c))) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c))) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c))) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 c) (taylor 0 c) (#s(alt (/.f64 #s(literal -1 binary64) c) (patch (/.f64 #s(literal -1 binary64) c) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 c) (taylor 0 c) (#s(alt (/.f64 #s(literal -1 binary64) c) (patch (/.f64 #s(literal -1 binary64) c) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 c) (taylor 0 c) (#s(alt (/.f64 #s(literal -1 binary64) c) (patch (/.f64 #s(literal -1 binary64) c) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 c) (taylor 0 c) (#s(alt (/.f64 #s(literal -1 binary64) c) (patch (/.f64 #s(literal -1 binary64) c) #<representation binary64>) () ())) ()) |
#s(alt (/ b d) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) (pow d 2)) (taylor 0 c) (#s(alt (*.f64 (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c) (patch (*.f64 (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2)))) (taylor 0 c) (#s(alt (*.f64 (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c) (patch (*.f64 (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2)))) (taylor 0 c) (#s(alt (*.f64 (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c) (patch (*.f64 (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* a (pow c 2)) (pow d 8))) (* -1 (/ a (pow d 6))))) (/ a (pow d 4)))) (/ a (pow d 2)))) (taylor 0 c) (#s(alt (*.f64 (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c) (patch (*.f64 (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c) #<representation binary64>) () ())) ()) |
#s(alt (/ a (pow d 2)) (taylor 0 c) (#s(alt (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2))) (taylor 0 c) (#s(alt (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2))) (taylor 0 c) (#s(alt (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* a (pow c 2)) (pow d 8))) (* -1 (/ a (pow d 6))))) (/ a (pow d 4)))) (/ a (pow d 2))) (taylor 0 c) (#s(alt (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))) (patch (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))) #<representation binary64>) () ())) ()) |
#s(alt (pow d 2) (taylor 0 c) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (+ (pow c 2) (pow d 2)) (taylor 0 c) (#s(alt #s(approx (+ (* c c) (* d d)) (*.f64 c c)) (patch #s(approx (+ (* c c) (* d d)) (*.f64 c c)) #<representation binary64>) () ())) ()) |
#s(alt (/ b d) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ (/ d c) c) b) (/ a c)) (*.f64 (/.f64 (/.f64 b c) c) d))) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ (/ d c) c) b) (/ a c)) (*.f64 (/.f64 (/.f64 b c) c) d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ b d) (/ (* a c) (pow d 2))) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ (/ d c) c) b) (/ a c)) (*.f64 (/.f64 (/.f64 b c) c) d))) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ (/ d c) c) b) (/ a c)) (*.f64 (/.f64 (/.f64 b c) c) d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ (/ d c) c) b) (/ a c)) (*.f64 (/.f64 (/.f64 b c) c) d))) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ (/ d c) c) b) (/ a c)) (*.f64 (/.f64 (/.f64 b c) c) d))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) (taylor 0 c) (#s(alt #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ (/ d c) c) b) (/ a c)) (*.f64 (/.f64 (/.f64 b c) c) d))) (patch #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ (/ d c) c) b) (/ a c)) (*.f64 (/.f64 (/.f64 b c) c) d))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* b d) (pow c 2)) (taylor 0 c) (#s(alt #s(approx (+ (* (/ (/ d c) c) b) (/ a c)) (*.f64 (/.f64 (/.f64 b c) c) d)) (patch #s(approx (+ (* (/ (/ d c) c) b) (/ a c)) (*.f64 (/.f64 (/.f64 b c) c) d)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) (taylor -inf d) (#s(alt (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d) (patch (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) (taylor -inf d) (#s(alt (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d) (patch (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) (taylor -inf d) (#s(alt (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d) (patch (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d) #<representation binary64>) () ())) ()) |
#s(alt b (taylor -inf d) (#s(alt #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) (patch #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) #<representation binary64>) () ())) ()) |
#s(alt (+ b (/ (* a c) d)) (taylor -inf d) (#s(alt #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) (patch #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) #<representation binary64>) () ())) ()) |
#s(alt (+ b (/ (* a c) d)) (taylor -inf d) (#s(alt #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) (patch #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) #<representation binary64>) () ())) ()) |
#s(alt (+ b (/ (* a c) d)) (taylor -inf d) (#s(alt #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) (patch #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) d) (taylor -inf d) (#s(alt (/.f64 (*.f64 c a) d) (patch (/.f64 (*.f64 c a) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) d) (taylor -inf d) (#s(alt (/.f64 (*.f64 c a) d) (patch (/.f64 (*.f64 c a) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) d) (taylor -inf d) (#s(alt (/.f64 (*.f64 c a) d) (patch (/.f64 (*.f64 c a) d) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) d) (taylor -inf d) (#s(alt (/.f64 (*.f64 c a) d) (patch (/.f64 (*.f64 c a) d) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 16.0ms | d | @ | inf | ((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ b c) d) a) c) (+ (* (/ b c) d) a) (/ b c) (* (neg a) (/ -1 c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg a) (/ -1 c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ a (+ (* c c) (* d d))) c) (/ a (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* (/ (/ d c) c) b) (/ a c)) (* (/ (/ b c) c) d) (/ (/ b c) c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ (* c a) d)) |
| 7.0ms | a | @ | 0 | ((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ b c) d) a) c) (+ (* (/ b c) d) a) (/ b c) (* (neg a) (/ -1 c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg a) (/ -1 c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ a (+ (* c c) (* d d))) c) (/ a (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* (/ (/ d c) c) b) (/ a c)) (* (/ (/ b c) c) d) (/ (/ b c) c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ (* c a) d)) |
| 4.0ms | b | @ | inf | ((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ b c) d) a) c) (+ (* (/ b c) d) a) (/ b c) (* (neg a) (/ -1 c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg a) (/ -1 c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ a (+ (* c c) (* d d))) c) (/ a (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* (/ (/ d c) c) b) (/ a c)) (* (/ (/ b c) c) d) (/ (/ b c) c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ (* c a) d)) |
| 3.0ms | a | @ | -inf | ((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ b c) d) a) c) (+ (* (/ b c) d) a) (/ b c) (* (neg a) (/ -1 c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg a) (/ -1 c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ a (+ (* c c) (* d d))) c) (/ a (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* (/ (/ d c) c) b) (/ a c)) (* (/ (/ b c) c) d) (/ (/ b c) c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ (* c a) d)) |
| 3.0ms | c | @ | -inf | ((/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ b c) d) a) c) (+ (* (/ b c) d) a) (/ b c) (* (neg a) (/ -1 c)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (neg a) (/ -1 c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (* (/ a (+ (* c c) (* d d))) c) (/ a (+ (* c c) (* d d))) (+ (* c c) (* d d)) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (+ (* (/ (/ d c) c) b) (/ a c)) (* (/ (/ b c) c) d) (/ (/ b c) c) (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/ (+ (* (/ c d) a) b) d) (+ (* (/ c d) a) b) (/ (* c a) d)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 394 | 8760 |
| 1 | 1260 | 8642 |
| 2 | 3961 | 8496 |
| 0 | 8122 | 7928 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(/ (* b d) (pow c 2)) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/ (* b d) c) |
(/ (+ (* a c) (* b d)) c) |
(/ (+ (* a c) (* b d)) c) |
(/ (+ (* a c) (* b d)) c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(/ -1 c) |
(/ -1 c) |
(/ -1 c) |
(/ -1 c) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(/ (* a c) (pow d 2)) |
(* c (+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2)))) |
(* c (+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2)))) |
(* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* a (pow c 2)) (pow d 8))) (* -1 (/ a (pow d 6))))) (/ a (pow d 4)))) (/ a (pow d 2)))) |
(/ a (pow d 2)) |
(+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2))) |
(+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2))) |
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* a (pow c 2)) (pow d 8))) (* -1 (/ a (pow d 6))))) (/ a (pow d 4)))) (/ a (pow d 2))) |
(pow d 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(/ (* b d) (pow c 2)) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ b (pow c 2)) |
(/ b (pow c 2)) |
(/ b (pow c 2)) |
(/ b (pow c 2)) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
b |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ a c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/ a c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (/ (* b d) c)) c) |
a |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/ -1 c) |
(/ -1 c) |
(/ -1 c) |
(/ -1 c) |
(/ a c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/ a c) |
(/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) c) |
(/ (- (+ a (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/ (- (+ a (* -1 (/ (* a (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c) |
(/ a (pow c 2)) |
(/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) (pow c 2)) |
(/ (- (+ a (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2))) (pow c 2)) |
(/ (- (+ a (* -1 (/ (* a (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) (pow c 2)) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(/ a c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/ a c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ b (pow c 2)) |
(/ b (pow c 2)) |
(/ b (pow c 2)) |
(/ b (pow c 2)) |
(/ a c) |
(/ (+ a (/ (* b d) c)) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/ (* a c) (pow d 2)) |
(* c (+ (/ a (pow d 2)) (/ b (* c d)))) |
(* c (+ (/ a (pow d 2)) (/ b (* c d)))) |
(* c (+ (/ a (pow d 2)) (/ b (* c d)))) |
(/ (* a c) d) |
(* c (+ (/ a d) (/ b c))) |
(* c (+ (/ a d) (/ b c))) |
(* c (+ (/ a d) (/ b c))) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(/ a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
a |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(/ -1 c) |
(/ -1 c) |
(/ -1 c) |
(/ -1 c) |
(/ a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(/ a c) |
(* -1 (/ (+ (* -1 a) (/ (* a (pow d 2)) (pow c 2))) c)) |
(* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c)) |
(* -1 (/ (+ (* -1 a) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (+ (/ (* a (pow d 2)) (pow c 2)) (/ (* a (pow d 6)) (pow c 6))))) c)) |
(/ a (pow c 2)) |
(/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) (pow c 2)) |
(/ (- (+ a (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2))) (pow c 2)) |
(/ (- (+ a (* -1 (/ (* a (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) (pow c 2)) |
(pow c 2) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(* (pow c 2) (+ 1 (/ (pow d 2) (pow c 2)))) |
(/ a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(/ a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ b (pow c 2)) |
(/ b (pow c 2)) |
(/ b (pow c 2)) |
(/ b (pow c 2)) |
(/ a c) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (* b d) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (* a (pow d 2)) c)) (* b d)) c))) c)) |
(* -1 (/ (+ (* -1 a) (* -1 (/ (+ (* -1 (/ (- (/ (* b (pow d 3)) c) (* -1 (* a (pow d 2)))) c)) (* b d)) c))) c)) |
(/ (* a c) (pow d 2)) |
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))))) |
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))))) |
(* -1 (* c (+ (* -1 (/ a (pow d 2))) (* -1 (/ b (* c d)))))) |
(/ (* a c) d) |
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(* -1 (* c (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
a |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ b (pow c 2)) |
(/ b (pow c 2)) |
(/ b (pow c 2)) |
(/ b (pow c 2)) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* a c) (pow d 2)) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(/ (* a c) d) |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(/ (* b d) (pow c 2)) |
(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
(/ (* b d) c) |
(* b (+ (/ a b) (/ d c))) |
(* b (+ (/ a b) (/ d c))) |
(* b (+ (/ a b) (/ d c))) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(/ (* b d) (pow c 2)) |
(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ b (pow c 2)) |
(/ b (pow c 2)) |
(/ b (pow c 2)) |
(/ b (pow c 2)) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(* b (+ (/ d (+ (pow c 2) (pow d 2))) (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))) |
(/ b d) |
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))) |
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))) |
(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))) |
b |
(* b (+ 1 (/ (* a c) (* b d)))) |
(* b (+ 1 (/ (* a c) (* b d)))) |
(* b (+ 1 (/ (* a c) (* b d)))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(/ (* b d) (pow c 2)) |
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) |
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) |
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) |
(/ (* b d) c) |
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) |
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) |
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ b c) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(/ (* b d) (pow c 2)) |
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) |
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) |
(* -1 (* b (+ (* -1 (/ a (* b c))) (* -1 (/ d (pow c 2)))))) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ b (pow c 2)) |
(/ b (pow c 2)) |
(/ b (pow c 2)) |
(/ b (pow c 2)) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
(/ b d) |
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b (pow d 2)))) (/ 1 d)))) |
b |
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1))) |
(* -1 (* b (- (* -1 (/ (* a c) (* b d))) 1))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* b d) (pow c 2)) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(/ (* b d) c) |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ a (+ (pow c 2) (pow d 2))) |
(/ a (+ (pow c 2) (pow d 2))) |
(/ a (+ (pow c 2) (pow d 2))) |
(/ a (+ (pow c 2) (pow d 2))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ (* b d) (pow c 2)) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(/ (* b d) (+ (pow c 2) (pow d 2))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(+ (/ (* a c) (+ (pow c 2) (pow d 2))) (/ (* b d) (+ (pow c 2) (pow d 2)))) |
(/ b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
b |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(/ a c) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) |
a |
(* a (+ 1 (/ (* b d) (* a c)))) |
(* a (+ 1 (/ (* b d) (* a c)))) |
(* a (+ 1 (/ (* b d) (* a c)))) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ a (+ (pow c 2) (pow d 2))) |
(/ a (+ (pow c 2) (pow d 2))) |
(/ a (+ (pow c 2) (pow d 2))) |
(/ a (+ (pow c 2) (pow d 2))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(/ a c) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) |
(* a (+ (/ 1 c) (/ (* b d) (* a (pow c 2))))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(* a (+ (/ c (+ (pow c 2) (pow d 2))) (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))) |
(/ (* a c) (pow d 2)) |
(* a (+ (/ b (* a d)) (/ c (pow d 2)))) |
(* a (+ (/ b (* a d)) (/ c (pow d 2)))) |
(* a (+ (/ b (* a d)) (/ c (pow d 2)))) |
(/ (* a c) d) |
(* a (+ (/ b a) (/ c d))) |
(* a (+ (/ b a) (/ c d))) |
(* a (+ (/ b a) (/ c d))) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(/ a c) |
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
a |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a c))) 1))) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ a c) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(* -1 a) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(/ a (+ (pow c 2) (pow d 2))) |
(/ a (+ (pow c 2) (pow d 2))) |
(/ a (+ (pow c 2) (pow d 2))) |
(/ a (+ (pow c 2) (pow d 2))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(/ a c) |
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
(* -1 (* a (- (* -1 (/ (* b d) (* a (pow c 2)))) (/ 1 c)))) |
(/ (* a c) (+ (pow c 2) (pow d 2))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(* -1 (* a (+ (* -1 (/ c (+ (pow c 2) (pow d 2)))) (* -1 (/ (* b d) (* a (+ (pow c 2) (pow d 2)))))))) |
(/ (* a c) (pow d 2)) |
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2)))))) |
(* -1 (* a (+ (* -1 (/ b (* a d))) (* -1 (/ c (pow d 2)))))) |
(/ (* a c) d) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* -1 (/ c d))))) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
a |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(+ a (/ (* b d) c)) |
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(/ a c) |
(+ (* -1 (/ (* a (pow d 2)) (pow c 3))) (/ a c)) |
(+ (* (pow d 2) (- (/ (* a (pow d 2)) (pow c 5)) (/ a (pow c 3)))) (/ a c)) |
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* a (pow d 2)) (pow c 7))) (* -1 (/ a (pow c 5))))) (/ a (pow c 3)))) (/ a c)) |
(/ a (pow c 2)) |
(+ (* -1 (/ (* a (pow d 2)) (pow c 4))) (/ a (pow c 2))) |
(+ (* (pow d 2) (- (/ (* a (pow d 2)) (pow c 6)) (/ a (pow c 4)))) (/ a (pow c 2))) |
(+ (* (pow d 2) (- (* (pow d 2) (- (* -1 (/ (* a (pow d 2)) (pow c 8))) (* -1 (/ a (pow c 6))))) (/ a (pow c 4)))) (/ a (pow c 2))) |
(pow c 2) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(+ (pow c 2) (pow d 2)) |
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ a c) |
(+ (/ a c) (/ (* b d) (pow c 2))) |
(+ (* d (+ (* -1 (/ (* a d) (pow c 3))) (/ b (pow c 2)))) (/ a c)) |
(+ (* d (+ (* d (- (* -1 (/ (* b d) (pow c 4))) (/ a (pow c 3)))) (/ b (pow c 2)))) (/ a c)) |
(/ (* a c) (pow d 2)) |
(/ (+ (* a c) (* b d)) (pow d 2)) |
(/ (+ (* a c) (* b d)) (pow d 2)) |
(/ (+ (* a c) (* b d)) (pow d 2)) |
(/ (* a c) d) |
(/ (+ (* a c) (* b d)) d) |
(/ (+ (* a c) (* b d)) d) |
(/ (+ (* a c) (* b d)) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ b d) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/ (* b d) (pow c 2)) |
(* d (+ (/ a (* c d)) (/ b (pow c 2)))) |
(* d (+ (/ a (* c d)) (/ b (pow c 2)))) |
(* d (+ (/ a (* c d)) (/ b (pow c 2)))) |
(/ (* b d) c) |
(* d (+ (/ a d) (/ b c))) |
(* d (+ (/ a d) (/ b c))) |
(* d (+ (/ a d) (/ b c))) |
(/ b d) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/ b d) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/ (* a c) (pow d 2)) |
(/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2)) |
(/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2)) |
(/ (- (+ (* -1 (/ (* a (pow c 7)) (pow d 6))) (* a c)) (+ (* -1 (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2)))) (pow d 2)) |
(/ a (pow d 2)) |
(/ (+ a (* -1 (/ (* a (pow c 2)) (pow d 2)))) (pow d 2)) |
(/ (- (+ a (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2))) (pow d 2)) |
(/ (- (+ a (* -1 (/ (* a (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2)))) (pow d 2)) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(/ b d) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/ (* b d) (pow c 2)) |
(* d (+ (/ a (* c d)) (/ b (pow c 2)))) |
(* d (+ (/ a (* c d)) (/ b (pow c 2)))) |
(* d (+ (/ a (* c d)) (/ b (pow c 2)))) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ b d) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (+ (* -1 (/ (* b (pow c 2)) (pow d 2))) (/ (* a c) d))) d) |
(/ (- (+ b (+ (* -1 (/ (* a (pow c 3)) (pow d 3))) (/ (* a c) d))) (/ (* b (pow c 2)) (pow d 2))) d) |
(/ b d) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (/ (* a c) d)) d) |
(/ (+ b (/ (* a c) d)) d) |
b |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(/ (* b d) (pow c 2)) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(/ (* b d) c) |
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(* -1 (* d (+ (* -1 (/ a d)) (* -1 (/ b c))))) |
(/ b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(/ b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(/ (* a c) (pow d 2)) |
(/ (+ (* -1 (/ (* a (pow c 3)) (pow d 2))) (* a c)) (pow d 2)) |
(/ (- (+ (* a c) (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2))) (pow d 2)) |
(/ (- (+ (* -1 (/ (* a (pow c 7)) (pow d 6))) (* a c)) (+ (* -1 (/ (* a (pow c 5)) (pow d 4))) (/ (* a (pow c 3)) (pow d 2)))) (pow d 2)) |
(/ a (pow d 2)) |
(/ (+ a (* -1 (/ (* a (pow c 2)) (pow d 2)))) (pow d 2)) |
(/ (- (+ a (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2))) (pow d 2)) |
(/ (- (+ a (* -1 (/ (* a (pow c 6)) (pow d 6)))) (+ (* -1 (/ (* a (pow c 4)) (pow d 4))) (/ (* a (pow c 2)) (pow d 2)))) (pow d 2)) |
(pow d 2) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(* (pow d 2) (+ 1 (/ (pow c 2) (pow d 2)))) |
(/ b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(/ (* b d) (pow c 2)) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ (* b d) (pow c 2)) |
(/ b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(/ b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
b |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(+ b (/ (* a c) d)) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
(/ (* a c) d) |
| Outputs |
|---|
(/ b d) |
(/.f64 b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d)) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 3 binary64))) (neg.f64 b) (/.f64 a (*.f64 d d))) c (/.f64 b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) a (/.f64 b (pow.f64 d #s(literal 3 binary64))))) c (/.f64 a (*.f64 d d))) c (/.f64 b d)) |
(/ (* b d) (pow c 2)) |
(*.f64 (/.f64 d (*.f64 c c)) b) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/.f64 (/.f64 (fma.f64 c a (*.f64 d b)) c) c) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/.f64 (/.f64 (fma.f64 c a (*.f64 d b)) c) c) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/.f64 (/.f64 (fma.f64 c a (*.f64 d b)) c) c) |
(/ (* b d) c) |
(/.f64 (*.f64 d b) c) |
(/ (+ (* a c) (* b d)) c) |
(/.f64 (fma.f64 c a (*.f64 d b)) c) |
(/ (+ (* a c) (* b d)) c) |
(/.f64 (fma.f64 c a (*.f64 d b)) c) |
(/ (+ (* a c) (* b d)) c) |
(/.f64 (fma.f64 c a (*.f64 d b)) c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ a c) |
(/.f64 a c) |
(/ a c) |
(/.f64 a c) |
(/ a c) |
(/.f64 a c) |
(/ a c) |
(/.f64 a c) |
(/ b d) |
(/.f64 b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d)) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 3 binary64))) (neg.f64 b) (/.f64 a (*.f64 d d))) c (/.f64 b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) a (/.f64 b (pow.f64 d #s(literal 3 binary64))))) c (/.f64 a (*.f64 d d))) c (/.f64 b d)) |
(/ -1 c) |
(/.f64 #s(literal -1 binary64) c) |
(/ -1 c) |
(/.f64 #s(literal -1 binary64) c) |
(/ -1 c) |
(/.f64 #s(literal -1 binary64) c) |
(/ -1 c) |
(/.f64 #s(literal -1 binary64) c) |
(/ b d) |
(/.f64 b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d)) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 3 binary64))) (neg.f64 b) (/.f64 a (*.f64 d d))) c (/.f64 b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) a (/.f64 b (pow.f64 d #s(literal 3 binary64))))) c (/.f64 a (*.f64 d d))) c (/.f64 b d)) |
(/ (* a c) (pow d 2)) |
(*.f64 (/.f64 c (*.f64 d d)) a) |
(* c (+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2)))) |
(fma.f64 (/.f64 c d) (/.f64 a d) (*.f64 (/.f64 (neg.f64 a) d) (pow.f64 (/.f64 c d) #s(literal 3 binary64)))) |
(* c (+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2)))) |
(fma.f64 (/.f64 c d) (/.f64 a d) (*.f64 (pow.f64 c #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 c c) (/.f64 a (pow.f64 d #s(literal 6 binary64)))) (/.f64 a (pow.f64 d #s(literal 4 binary64)))))) |
(* c (+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* a (pow c 2)) (pow d 8))) (* -1 (/ a (pow d 6))))) (/ a (pow d 4)))) (/ a (pow d 2)))) |
(fma.f64 (/.f64 c d) (/.f64 a d) (*.f64 (pow.f64 c #s(literal 3 binary64)) (-.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 c) c) (/.f64 a (pow.f64 d #s(literal 8 binary64))) (/.f64 a (pow.f64 d #s(literal 6 binary64)))) (*.f64 c c)) (/.f64 a (pow.f64 d #s(literal 4 binary64)))))) |
(/ a (pow d 2)) |
(/.f64 a (*.f64 d d)) |
(+ (* -1 (/ (* a (pow c 2)) (pow d 4))) (/ a (pow d 2))) |
(fma.f64 (*.f64 (neg.f64 c) c) (/.f64 a (pow.f64 d #s(literal 4 binary64))) (/.f64 a (*.f64 d d))) |
(+ (* (pow c 2) (- (/ (* a (pow c 2)) (pow d 6)) (/ a (pow d 4)))) (/ a (pow d 2))) |
(fma.f64 (-.f64 (*.f64 (*.f64 c c) (/.f64 a (pow.f64 d #s(literal 6 binary64)))) (/.f64 a (pow.f64 d #s(literal 4 binary64)))) (*.f64 c c) (/.f64 a (*.f64 d d))) |
(+ (* (pow c 2) (- (* (pow c 2) (- (* -1 (/ (* a (pow c 2)) (pow d 8))) (* -1 (/ a (pow d 6))))) (/ a (pow d 4)))) (/ a (pow d 2))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 c) c) (/.f64 a (pow.f64 d #s(literal 8 binary64))) (/.f64 a (pow.f64 d #s(literal 6 binary64)))) (*.f64 c c)) (/.f64 a (pow.f64 d #s(literal 4 binary64)))) (*.f64 c c) (/.f64 a (*.f64 d d))) |
(pow d 2) |
(*.f64 d d) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(+ (pow c 2) (pow d 2)) |
(fma.f64 c c (*.f64 d d)) |
(/ b d) |
(/.f64 b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d)) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 3 binary64))) (neg.f64 b) (/.f64 a (*.f64 d d))) c (/.f64 b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) a (/.f64 b (pow.f64 d #s(literal 3 binary64))))) c (/.f64 a (*.f64 d d))) c (/.f64 b d)) |
(/ (* b d) (pow c 2)) |
(*.f64 (/.f64 d (*.f64 c c)) b) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/.f64 (/.f64 (fma.f64 c a (*.f64 d b)) c) c) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/.f64 (/.f64 (fma.f64 c a (*.f64 d b)) c) c) |
(/ (+ (* a c) (* b d)) (pow c 2)) |
(/.f64 (/.f64 (fma.f64 c a (*.f64 d b)) c) c) |
(/ (* b d) (pow c 2)) |
(*.f64 (/.f64 d (*.f64 c c)) b) |
(/ (* b d) (pow c 2)) |
(*.f64 (/.f64 d (*.f64 c c)) b) |
(/ (* b d) (pow c 2)) |
(*.f64 (/.f64 d (*.f64 c c)) b) |
(/ (* b d) (pow c 2)) |
(*.f64 (/.f64 d (*.f64 c c)) b) |
(/ b (pow c 2)) |
(/.f64 (/.f64 b c) c) |
(/ b (pow c 2)) |
(/.f64 (/.f64 b c) c) |
(/ b (pow c 2)) |
(/.f64 (/.f64 b c) c) |
(/ b (pow c 2)) |
(/.f64 (/.f64 b c) c) |
(/ b d) |
(/.f64 b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d)) |
(+ (* c (+ (* -1 (/ (* b c) (pow d 3))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 3 binary64))) (neg.f64 b) (/.f64 a (*.f64 d d))) c (/.f64 b d)) |
(+ (* c (+ (* c (- (* -1 (/ (* a c) (pow d 4))) (/ b (pow d 3)))) (/ a (pow d 2)))) (/ b d)) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (/.f64 c (pow.f64 d #s(literal 4 binary64))) a (/.f64 b (pow.f64 d #s(literal 3 binary64))))) c (/.f64 a (*.f64 d d))) c (/.f64 b d)) |
(/ b d) |
(/.f64 b d) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d)) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d)) |
(+ (/ b d) (/ (* a c) (pow d 2))) |
(fma.f64 (/.f64 c (*.f64 d d)) a (/.f64 b d)) |
b |
(+ b (/ (* a c) d)) |
(fma.f64 (/.f64 c d) a b) |
(+ b (/ (* a c) d)) |
(fma.f64 (/.f64 c d) a b) |
(+ b (/ (* a c) d)) |
(fma.f64 (/.f64 c d) a b) |
(/ (* a c) d) |
(/.f64 (*.f64 c a) d) |
(/ (* a c) d) |
(/.f64 (*.f64 c a) d) |
(/ (* a c) d) |
(/.f64 (*.f64 c a) d) |
(/ (* a c) d) |
(/.f64 (*.f64 c a) d) |
(/ a c) |
(/.f64 a c) |
(/ (+ a (/ (* b d) c)) c) |
(/.f64 (fma.f64 (/.f64 b c) d a) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 d) d) c) a (*.f64 d b)) c) a) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/.f64 (fma.f64 (/.f64 (neg.f64 a) c) (*.f64 d (/.f64 d c)) (fma.f64 b (-.f64 (/.f64 d c) (pow.f64 (/.f64 d c) #s(literal 3 binary64))) a)) c) |
(/ a c) |
(/.f64 a c) |
(/ (+ a (/ (* b d) c)) c) |
(/.f64 (fma.f64 (/.f64 b c) d a) c) |
(/ (+ a (/ (* b d) c)) c) |
(/.f64 (fma.f64 (/.f64 b c) d a) c) |
(/ (+ a (/ (* b d) c)) c) |
(/.f64 (fma.f64 (/.f64 b c) d a) c) |
a |
(+ a (/ (* b d) c)) |
(fma.f64 (/.f64 b c) d a) |
(+ a (/ (* b d) c)) |
(fma.f64 (/.f64 b c) d a) |
(+ a (/ (* b d) c)) |
(fma.f64 (/.f64 b c) d a) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ b c) |
(/.f64 b c) |
(/ a c) |
(/.f64 a c) |
(/ a c) |
(/.f64 a c) |
(/ a c) |
(/.f64 a c) |
(/ a c) |
(/.f64 a c) |
(/ a c) |
(/.f64 a c) |
(/ (+ a (/ (* b d) c)) c) |
(/.f64 (fma.f64 (/.f64 b c) d a) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 d) d) c) a (*.f64 d b)) c) a) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/.f64 (fma.f64 (/.f64 (neg.f64 a) c) (*.f64 d (/.f64 d c)) (fma.f64 b (-.f64 (/.f64 d c) (pow.f64 (/.f64 d c) #s(literal 3 binary64))) a)) c) |
(/ -1 c) |
(/.f64 #s(literal -1 binary64) c) |
(/ -1 c) |
(/.f64 #s(literal -1 binary64) c) |
(/ -1 c) |
(/.f64 #s(literal -1 binary64) c) |
(/ -1 c) |
(/.f64 #s(literal -1 binary64) c) |
(/ a c) |
(/.f64 a c) |
(/ (+ a (/ (* b d) c)) c) |
(/.f64 (fma.f64 (/.f64 b c) d a) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 d) d) c) a (*.f64 d b)) c) a) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/.f64 (fma.f64 (/.f64 (neg.f64 a) c) (*.f64 d (/.f64 d c)) (fma.f64 b (-.f64 (/.f64 d c) (pow.f64 (/.f64 d c) #s(literal 3 binary64))) a)) c) |
(/ a c) |
(/.f64 a c) |
(/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) c) |
(/.f64 (*.f64 a (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal -1 binary64))) (neg.f64 c)) |
(/ (- (+ a (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/.f64 (fma.f64 a (-.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (*.f64 (/.f64 d c) (/.f64 d c))) a) c) |
(/ (- (+ a (* -1 (/ (* a (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) c) |
(/.f64 (fma.f64 a (-.f64 (fma.f64 (/.f64 d c) (/.f64 d c) (/.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (neg.f64 a)) (neg.f64 c)) |
(/ a (pow c 2)) |
(/.f64 (/.f64 a c) c) |
(/ (+ a (* -1 (/ (* a (pow d 2)) (pow c 2)))) (pow c 2)) |
(/.f64 (*.f64 (neg.f64 a) (fma.f64 (/.f64 d c) (/.f64 d c) #s(literal -1 binary64))) (*.f64 c c)) |
(/ (- (+ a (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2))) (pow c 2)) |
(/.f64 (fma.f64 a (-.f64 (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (*.f64 (/.f64 d c) (/.f64 d c))) a) (*.f64 c c)) |
(/ (- (+ a (* -1 (/ (* a (pow d 6)) (pow c 6)))) (+ (* -1 (/ (* a (pow d 4)) (pow c 4))) (/ (* a (pow d 2)) (pow c 2)))) (pow c 2)) |
(/.f64 (/.f64 (fma.f64 a (-.f64 (fma.f64 (/.f64 d c) (/.f64 d c) (/.f64 (pow.f64 d #s(literal 6 binary64)) (pow.f64 c #s(literal 6 binary64)))) (/.f64 (pow.f64 d #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64)))) (neg.f64 a)) (neg.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)) |
(/ a c) |
(/.f64 a c) |
(/ (+ a (/ (* b d) c)) c) |
(/.f64 (fma.f64 (/.f64 b c) d a) c) |
(/ (+ a (+ (* -1 (/ (* a (pow d 2)) (pow c 2))) (/ (* b d) c))) c) |
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 d) d) c) a (*.f64 d b)) c) a) c) |
(/ (- (+ a (+ (* -1 (/ (* b (pow d 3)) (pow c 3))) (/ (* b d) c))) (/ (* a (pow d 2)) (pow c 2))) c) |
(/.f64 (fma.f64 (/.f64 (neg.f64 a) c) (*.f64 d (/.f64 d c)) (fma.f64 b (-.f64 (/.f64 d c) (pow.f64 (/.f64 d c) #s(literal 3 binary64))) a)) c) |
(/ a c) |
(/.f64 a c) |
(/ (+ a (/ (* b d) c)) c) |
(/.f64 (fma.f64 (/.f64 b c) d a) c) |
(/ (+ a (/ (* b d) c)) c) |
(/.f64 (fma.f64 (/.f64 b c) d a) c) |
(/ (+ a (/ (* b d) c)) c) |
(/.f64 (fma.f64 (/.f64 b c) d a) c) |
(/ (* b d) (pow c 2)) |
(*.f64 (/.f64 d (*.f64 c c)) b) |
(/ (* b d) (pow c 2)) |
(*.f64 (/.f64 d (*.f64 c c)) b) |
(/ (* b d) (pow c 2)) |
(*.f64 (/.f64 d (*.f64 c c)) b) |
(/ (* b d) (pow c 2)) |
(*.f64 (/.f64 d (*.f64 c c)) b) |
(/ b (pow c 2)) |
(/.f64 (/.f64 b c) c) |
(/ b (pow c 2)) |
(/.f64 (/.f64 b c) c) |
(/ b (pow c 2)) |
(/.f64 (/.f64 b c) c) |
(/ b (pow c 2)) |
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(/ (* b d) (+ (pow c 2) (pow d 2))) |
(*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b) |
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(/ (* b d) (+ (pow c 2) (pow d 2))) |
(*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b) |
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(/ (* b d) (pow c 2)) |
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(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
(*.f64 (+.f64 (/.f64 d (*.f64 c c)) (/.f64 (/.f64 a c) b)) b) |
(* b (+ (/ a (* b c)) (/ d (pow c 2)))) |
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(* b (+ (/ 1 d) (/ (* a c) (* b (pow d 2))))) |
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(fma.f64 a (*.f64 (/.f64 (/.f64 c (*.f64 d d)) b) b) (/.f64 b d)) |
b |
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(fma.f64 (/.f64 (/.f64 (*.f64 c a) d) b) b b) |
(* b (+ 1 (/ (* a c) (* b d)))) |
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(/ (* b d) (+ (pow c 2) (pow d 2))) |
(*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b) |
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(/ (* b d) (pow c 2)) |
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(*.f64 (+.f64 (/.f64 d (*.f64 c c)) (/.f64 (/.f64 a c) b)) b) |
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(*.f64 (+.f64 (/.f64 d (*.f64 c c)) (/.f64 (/.f64 a c) b)) b) |
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(*.f64 (+.f64 (/.f64 d c) (/.f64 a b)) b) |
(* -1 (* b (+ (* -1 (/ a b)) (* -1 (/ d c))))) |
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(/ (* b d) (+ (pow c 2) (pow d 2))) |
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(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
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(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
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(* -1 (* b (+ (* -1 (/ d (+ (pow c 2) (pow d 2)))) (* -1 (/ (* a c) (* b (+ (pow c 2) (pow d 2)))))))) |
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(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 c) c) d) b (*.f64 c a)) d) b) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(/.f64 (+.f64 (/.f64 (fma.f64 c a (/.f64 (fma.f64 (*.f64 c c) b (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) d)) (neg.f64 d))) d) b) d) |
(/ (* b d) (pow c 2)) |
(*.f64 (/.f64 d (*.f64 c c)) b) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(*.f64 (+.f64 (/.f64 (/.f64 a d) c) (/.f64 (/.f64 b c) c)) d) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(*.f64 (+.f64 (/.f64 (/.f64 a d) c) (/.f64 (/.f64 b c) c)) d) |
(* -1 (* d (+ (* -1 (/ a (* c d))) (* -1 (/ b (pow c 2)))))) |
(*.f64 (+.f64 (/.f64 (/.f64 a d) c) (/.f64 (/.f64 b c) c)) d) |
(/ (* b d) (pow c 2)) |
(*.f64 (/.f64 d (*.f64 c c)) b) |
(/ (* b d) (pow c 2)) |
(*.f64 (/.f64 d (*.f64 c c)) b) |
(/ (* b d) (pow c 2)) |
(*.f64 (/.f64 d (*.f64 c c)) b) |
(/ (* b d) (pow c 2)) |
(*.f64 (/.f64 d (*.f64 c c)) b) |
(/ b d) |
(/.f64 b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(/.f64 (fma.f64 (/.f64 c d) a b) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (* b (pow c 2)) d)) (* a c)) d))) d)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 c) c) d) b (*.f64 c a)) d) b) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (+ (* -1 (/ (- (/ (* a (pow c 3)) d) (* -1 (* b (pow c 2)))) d)) (* a c)) d))) d)) |
(/.f64 (+.f64 (/.f64 (fma.f64 c a (/.f64 (fma.f64 (*.f64 c c) b (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) d)) (neg.f64 d))) d) b) d) |
(/ b d) |
(/.f64 b d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(/.f64 (fma.f64 (/.f64 c d) a b) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(/.f64 (fma.f64 (/.f64 c d) a b) d) |
(* -1 (/ (+ (* -1 b) (* -1 (/ (* a c) d))) d)) |
(/.f64 (fma.f64 (/.f64 c d) a b) d) |
b |
(+ b (/ (* a c) d)) |
(fma.f64 (/.f64 c d) a b) |
(+ b (/ (* a c) d)) |
(fma.f64 (/.f64 c d) a b) |
(+ b (/ (* a c) d)) |
(fma.f64 (/.f64 c d) a b) |
(/ (* a c) d) |
(/.f64 (*.f64 c a) d) |
(/ (* a c) d) |
(/.f64 (*.f64 c a) d) |
(/ (* a c) d) |
(/.f64 (*.f64 c a) d) |
(/ (* a c) d) |
(/.f64 (*.f64 c a) d) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 274 |
| 0 | 57 | 274 |
| 1 | 218 | 268 |
| 2 | 1584 | 268 |
| 0 | 8366 | 249 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) |
(/.f64 (fma.f64 (/.f64 b c) d a) c) |
(fma.f64 (/.f64 b c) d a) |
(/.f64 b c) |
(*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c))) |
(neg.f64 a) |
(/.f64 #s(literal -1 binary64) c) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) |
(*.f64 (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c) |
(/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (+ (* c c) (* d d)) (*.f64 c c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ (/ d c) c) b) (/ a c)) (*.f64 (/.f64 (/.f64 b c) c) d))) |
#s(approx (+ (* (/ (/ d c) c) b) (/ a c)) (*.f64 (/.f64 (/.f64 b c) c) d)) |
(*.f64 (/.f64 (/.f64 b c) c) d) |
(/.f64 (/.f64 b c) c) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d)) |
(/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d) |
#s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) |
(/.f64 (*.f64 c a) d) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) |
(*.f64 (pow.f64 (/.f64 c (-.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)) (*.f64 a a))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 d c) b (neg.f64 a)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 c (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 a (-.f64 a (*.f64 (/.f64 d c) b)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 c #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (/.f64 b c) d a) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 c #s(literal -1 binary64)) (fma.f64 (/.f64 b c) d a)) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 b c) d a) c)) |
(*.f64 (neg.f64 (fma.f64 (/.f64 b c) d a)) (/.f64 #s(literal -1 binary64) c)) |
(*.f64 (fma.f64 (/.f64 b c) d a) (pow.f64 c #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 c (fma.f64 (/.f64 b c) d a)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 c (fma.f64 (/.f64 b c) d a)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)) (*.f64 a a)) (pow.f64 c #s(literal -1 binary64)))) (neg.f64 (fma.f64 (/.f64 d c) b (neg.f64 a)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 3 binary64))) (pow.f64 c #s(literal -1 binary64)))) (neg.f64 (fma.f64 a (-.f64 a (*.f64 (/.f64 d c) b)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 b c) d a) #s(literal 1 binary64))) (neg.f64 c)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 b c) d a)))) (neg.f64 (neg.f64 (neg.f64 c)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)) (*.f64 a a)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (/.f64 d c) b (neg.f64 a)) c))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 a (-.f64 a (*.f64 (/.f64 d c) b)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64))) c))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)) (*.f64 a a)) (pow.f64 c #s(literal -1 binary64))) (fma.f64 (/.f64 d c) b (neg.f64 a))) |
(/.f64 (*.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 3 binary64))) (pow.f64 c #s(literal -1 binary64))) (fma.f64 a (-.f64 a (*.f64 (/.f64 d c) b)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (fma.f64 (/.f64 b c) d a) #s(literal 1 binary64)) c) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 b c) d a))) (neg.f64 (neg.f64 c))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)) (*.f64 a a))) (neg.f64 (*.f64 c (fma.f64 (/.f64 d c) b (neg.f64 a))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 3 binary64)))) (neg.f64 (*.f64 c (fma.f64 a (-.f64 a (*.f64 (/.f64 d c) b)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)) (*.f64 a a)) #s(literal 1 binary64)) (*.f64 (fma.f64 (/.f64 d c) b (neg.f64 a)) c)) |
(/.f64 (*.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 a (-.f64 a (*.f64 (/.f64 d c) b)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64))) c)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)) (*.f64 a a)) (*.f64 c (fma.f64 (/.f64 d c) b (neg.f64 a)))) |
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 3 binary64))) (*.f64 c (fma.f64 a (-.f64 a (*.f64 (/.f64 d c) b)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 c (fma.f64 (/.f64 b c) d a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c (fma.f64 (/.f64 b c) d a)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 c (fma.f64 (/.f64 b c) d a))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 b c) d a)) (neg.f64 c)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 c (fma.f64 (/.f64 b c) d a)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 c (fma.f64 (/.f64 b c) d a)))) |
(/.f64 (fma.f64 (/.f64 b c) d a) c) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 b c) d a)) c)) |
(neg.f64 (/.f64 (fma.f64 (/.f64 b c) d a) (neg.f64 c))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)) (*.f64 c (fma.f64 (/.f64 d c) b (neg.f64 a)))) (/.f64 (*.f64 a a) (*.f64 c (fma.f64 (/.f64 d c) b (neg.f64 a))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)) (fma.f64 (/.f64 d c) b (neg.f64 a))) c) (/.f64 (/.f64 (*.f64 a a) (fma.f64 (/.f64 d c) b (neg.f64 a))) c)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 c)) (/.f64 (fma.f64 (/.f64 b c) d a) (neg.f64 c))) |
(exp.f64 (*.f64 (log.f64 (/.f64 c (fma.f64 (/.f64 b c) d a))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)) (*.f64 a a)) (pow.f64 (fma.f64 (/.f64 d c) b (neg.f64 a)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 3 binary64))) (pow.f64 (fma.f64 a (-.f64 a (*.f64 (/.f64 d c) b)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (/.f64 d c) b (neg.f64 a)) (-.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)) (*.f64 a a))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 a (-.f64 a (*.f64 (/.f64 d c) b)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64))) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (*.f64 a a) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)))) (neg.f64 (-.f64 a (*.f64 (/.f64 d c) b)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)) (*.f64 a a)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 d c) b (neg.f64 a))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 a (-.f64 a (*.f64 (/.f64 d c) b)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)) (fma.f64 (/.f64 d c) b (neg.f64 a))) (*.f64 (fma.f64 (/.f64 d c) b (neg.f64 a)) (*.f64 a a))) (*.f64 (fma.f64 (/.f64 d c) b (neg.f64 a)) (fma.f64 (/.f64 d c) b (neg.f64 a)))) |
(/.f64 (-.f64 (*.f64 a a) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64))) (-.f64 a (*.f64 (/.f64 d c) b))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)) (*.f64 a a))) (neg.f64 (fma.f64 (/.f64 d c) b (neg.f64 a)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 3 binary64)))) (neg.f64 (fma.f64 a a (-.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 d c) b) a))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 3 binary64)))) (neg.f64 (fma.f64 a (-.f64 a (*.f64 (/.f64 d c) b)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)) (*.f64 a a)) (fma.f64 (/.f64 d c) b (neg.f64 a))) |
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 3 binary64))) (fma.f64 a a (-.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 d c) b) a)))) |
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 3 binary64))) (fma.f64 a (-.f64 a (*.f64 (/.f64 d c) b)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 d c) b (neg.f64 a)) (-.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)) (*.f64 a a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (-.f64 a (*.f64 (/.f64 d c) b)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64))) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 3 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 d c) b (neg.f64 a)) (-.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)) (*.f64 a a))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 a (-.f64 a (*.f64 (/.f64 d c) b)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64))) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 3 binary64)))))) |
(fma.f64 (/.f64 d c) b a) |
(fma.f64 (/.f64 b c) d a) |
(fma.f64 (*.f64 d b) (pow.f64 c #s(literal -1 binary64)) a) |
(fma.f64 d (/.f64 b c) a) |
(fma.f64 b (/.f64 d c) a) |
(-.f64 (/.f64 (*.f64 a a) (-.f64 a (*.f64 (/.f64 d c) b))) (/.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)) (-.f64 a (*.f64 (/.f64 d c) b)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 d c) b) #s(literal 2 binary64)) (fma.f64 (/.f64 d c) b (neg.f64 a))) (/.f64 (*.f64 a a) (fma.f64 (/.f64 d c) b (neg.f64 a)))) |
(+.f64 (*.f64 (/.f64 d c) b) a) |
(+.f64 a (*.f64 (/.f64 d c) b)) |
(*.f64 (pow.f64 c #s(literal -1 binary64)) (pow.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 c #s(literal -1 binary64)) b) |
(*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) c)) |
(*.f64 #s(literal 1 binary64) (/.f64 b c)) |
(*.f64 b (pow.f64 c #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 c b) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 c b) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 b))) (neg.f64 (neg.f64 (neg.f64 c)))) |
(/.f64 (neg.f64 (*.f64 b #s(literal 1 binary64))) (neg.f64 c)) |
(/.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 c))) |
(/.f64 (*.f64 b #s(literal 1 binary64)) c) |
(/.f64 (neg.f64 b) (neg.f64 c)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 c b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 c b) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 c b)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 c b) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 c b))) |
(/.f64 b c) |
(neg.f64 (/.f64 b (neg.f64 c))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 c)) (/.f64 b (neg.f64 c))) |
(exp.f64 (*.f64 (log.f64 (/.f64 c b)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) c) #s(literal -1 binary64)) a) |
(*.f64 (neg.f64 (neg.f64 a)) (pow.f64 c #s(literal -1 binary64))) |
(*.f64 (pow.f64 c #s(literal -1 binary64)) (pow.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 c #s(literal -1 binary64)) a) |
(*.f64 #s(literal 1 binary64) (/.f64 a c)) |
(*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 a)) |
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 c #s(literal -1 binary64)) (neg.f64 a))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 a) c)) |
(*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c)) |
(*.f64 a (neg.f64 (/.f64 #s(literal -1 binary64) c))) |
(*.f64 a (pow.f64 c #s(literal -1 binary64))) |
(pow.f64 (/.f64 c (neg.f64 (neg.f64 a))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 c a) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 c a) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (neg.f64 a)))) (neg.f64 (neg.f64 c))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 a))) (neg.f64 (*.f64 c #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 a))) (neg.f64 (neg.f64 c))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 a) #s(literal 1 binary64))) (neg.f64 (*.f64 c #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 a) #s(literal 1 binary64))) (neg.f64 (neg.f64 c))) |
(/.f64 (neg.f64 (*.f64 a #s(literal 1 binary64))) (neg.f64 c)) |
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 d #s(approx (+ (* (/ c d) a) b) (*.f64 (/.f64 c d) a))))) |
(neg.f64 (/.f64 (neg.f64 #s(approx (+ (* (/ c d) a) b) (*.f64 (/.f64 c d) a))) d)) |
(neg.f64 (/.f64 #s(approx (+ (* (/ c d) a) b) (*.f64 (/.f64 c d) a)) (neg.f64 d))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 d)) (/.f64 #s(approx (+ (* (/ c d) a) b) (*.f64 (/.f64 c d) a)) (neg.f64 d))) |
(exp.f64 (*.f64 (log.f64 (/.f64 d #s(approx (+ (* (/ c d) a) b) (*.f64 (/.f64 c d) a)))) #s(literal -1 binary64))) |
#s(approx (+ (* (/ c d) a) b) (*.f64 (/.f64 c d) a)) |
(*.f64 (/.f64 a d) c) |
(*.f64 (pow.f64 d #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 c a) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 d #s(literal -1 binary64)) (*.f64 c a)) |
(*.f64 (*.f64 (neg.f64 c) a) (pow.f64 (neg.f64 d) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 c d) a)) |
(*.f64 (/.f64 c d) a) |
(*.f64 (*.f64 c a) (pow.f64 d #s(literal -1 binary64))) |
(*.f64 c (*.f64 (pow.f64 d #s(literal -1 binary64)) a)) |
(*.f64 c (/.f64 a d)) |
(*.f64 a (/.f64 c d)) |
(pow.f64 (/.f64 (/.f64 (/.f64 d c) a) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 d c) a) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 c) a))) (neg.f64 (neg.f64 (neg.f64 d)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 c a) #s(literal 1 binary64))) (neg.f64 d)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) a)) (/.f64 d (neg.f64 c))) |
(/.f64 (neg.f64 (*.f64 a #s(literal 1 binary64))) (/.f64 d (neg.f64 c))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 c) a)) (neg.f64 (neg.f64 d))) |
(/.f64 (*.f64 (*.f64 c a) #s(literal 1 binary64)) d) |
(/.f64 (*.f64 #s(literal 1 binary64) a) (/.f64 d c)) |
(/.f64 (*.f64 a #s(literal 1 binary64)) (/.f64 d c)) |
(/.f64 (*.f64 (neg.f64 c) a) (neg.f64 d)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (/.f64 d c) a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 d c) a) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 d c) a)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (/.f64 d c) a) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 d c) a))) |
(/.f64 (neg.f64 a) (/.f64 d (neg.f64 c))) |
(/.f64 (*.f64 c a) d) |
(/.f64 a (/.f64 d c)) |
(neg.f64 (/.f64 (*.f64 (neg.f64 c) a) d)) |
(neg.f64 (/.f64 (*.f64 c a) (neg.f64 d))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 d)) (/.f64 (*.f64 c a) (neg.f64 d))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 d c) a)) #s(literal -1 binary64))) |
Compiled 14 975 to 1 784 computations (88.1% saved)
20 alts after pruning (11 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 121 | 4 | 1 125 |
| Fresh | 2 | 7 | 9 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 5 | 6 |
| Total | 1 125 | 20 | 1 145 |
| Status | Accuracy | Program |
|---|---|---|
| 33.4% | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) | |
| ✓ | 36.4% | (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (fma.f64 c c (*.f64 d d))) |
| 35.6% | (/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 (*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) d) d))) | |
| ✓ | 57.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) |
| ✓ | 50.9% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) |
| 19.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c a) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) | |
| ✓ | 21.0% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d)) |
| 22.2% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (*.f64 (/.f64 c d) a)) d)) | |
| ✓ | 44.5% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
| ✓ | 43.3% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
| 32.6% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64)) (*.f64 b b)) d) (pow.f64 (fma.f64 (/.f64 c d) a (neg.f64 b)) #s(literal -1 binary64)))) | |
| ✓ | 41.2% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c)) |
| ✓ | 31.3% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) |
| 44.4% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d))) | |
| ✓ | 43.2% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c))) |
| 19.2% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))))) | |
| 20.3% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ c d) a) b) d) (*.f64 (/.f64 (/.f64 c d) d) a))) | |
| 20.1% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ b c) d) a) c) (*.f64 (/.f64 d (*.f64 c c)) b))) | |
| 19.7% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ (/ d c) c) b) (/ a c)) (/.f64 b (*.f64 (/.f64 c d) c)))) | |
| 21.0% | #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ (/ d c) c) b) (/ a c)) (*.f64 (/.f64 d c) (/.f64 b c)))) |
Compiled 611 to 340 computations (44.4% saved)
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (*.f64 (/.f64 c (*.f64 d d)) a))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ b c) d) a) c) (*.f64 (/.f64 d (*.f64 c c)) b))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c a) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ (/ d c) c) b) (/ a c)) (*.f64 (/.f64 d c) (/.f64 b c)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ (/ d c) c) b) (/ a c)) (*.f64 (/.f64 (/.f64 b c) c) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ (/ d c) c) b) (/ a c)) (/.f64 b (*.f64 (/.f64 c d) c)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ c d) a) b) d) (*.f64 (/.f64 (/.f64 c d) d) a))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (*.f64 (/.f64 c d) a)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d)) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (fma.f64 c c (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 (fma.f64 (/.f64 a d) c b)) (/.f64 #s(literal -1 binary64) d))) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 c d) d) a (/.f64 b d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (fma.f64 (/.f64 (/.f64 d c) c) b (/.f64 a c))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 d d (*.f64 c c))) (neg.f64 (fma.f64 d b (*.f64 c a)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (-.f64 b (/.f64 (fma.f64 (neg.f64 c) a (/.f64 (*.f64 (*.f64 c b) c) d)) d)) d)) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 (*.f64 (fma.f64 (/.f64 c d) (/.f64 c d) #s(literal 1 binary64)) d) d))) |
(*.f64 (*.f64 (/.f64 (fma.f64 d b (*.f64 c a)) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64)))) (+.f64 d c)) (-.f64 c d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 a d) c) #s(literal 2 binary64)) (*.f64 b b)) d) (pow.f64 (-.f64 (*.f64 (/.f64 a d) c) b) #s(literal -1 binary64)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c d) a) #s(literal 2 binary64)) (*.f64 b b)) d) (pow.f64 (fma.f64 (/.f64 c d) a (neg.f64 b)) #s(literal -1 binary64)))) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
5 calls:
| 29.0ms | a |
| 13.0ms | d |
| 10.0ms | c |
| 10.0ms | b |
| 10.0ms | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.0% | 6 | a |
| 66.0% | 2 | b |
| 85.6% | 5 | c |
| 86.9% | 5 | d |
| 75.0% | 2 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
Compiled 19 to 27 computations (-42.1% saved)
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (*.f64 (/.f64 c (*.f64 d d)) a))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ b c) d) a) c) (*.f64 (/.f64 d (*.f64 c c)) b))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c a) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ (/ d c) c) b) (/ a c)) (*.f64 (/.f64 d c) (/.f64 b c)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ (/ d c) c) b) (/ a c)) (*.f64 (/.f64 (/.f64 b c) c) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ (/ d c) c) b) (/ a c)) (/.f64 b (*.f64 (/.f64 c d) c)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ c d) a) b) d) (*.f64 (/.f64 (/.f64 c d) d) a))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (*.f64 (/.f64 c d) a)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d)) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (fma.f64 c c (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (+.f64 (*.f64 c c) (*.f64 d d))) |
(/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) #s(approx (+ (* c c) (* d d)) (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 (fma.f64 (/.f64 a d) c b)) (/.f64 #s(literal -1 binary64) d))) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) |
2 calls:
| 8.0ms | d |
| 8.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.8% | 3 | c |
| 80.6% | 3 | d |
Compiled 2 to 8 computations (-300% saved)
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (*.f64 (/.f64 c (*.f64 d d)) a))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ b c) d) a) c) (*.f64 (/.f64 d (*.f64 c c)) b))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c a) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ (/ d c) c) b) (/ a c)) (*.f64 (/.f64 d c) (/.f64 b c)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ (/ d c) c) b) (/ a c)) (*.f64 (/.f64 (/.f64 b c) c) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ (/ d c) c) b) (/ a c)) (/.f64 b (*.f64 (/.f64 c d) c)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ c d) a) b) d) (*.f64 (/.f64 (/.f64 c d) d) a))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (*.f64 (/.f64 c d) a)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d)) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (fma.f64 c c (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) |
1 calls:
| 7.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.0% | 3 | c |
Compiled 1 to 4 computations (-300% saved)
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (*.f64 (/.f64 c (*.f64 d d)) a))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ b c) d) a) c) (*.f64 (/.f64 d (*.f64 c c)) b))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c a) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ (/ d c) c) b) (/ a c)) (*.f64 (/.f64 d c) (/.f64 b c)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ (/ d c) c) b) (/ a c)) (*.f64 (/.f64 (/.f64 b c) c) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ (/ d c) c) b) (/ a c)) (/.f64 b (*.f64 (/.f64 c d) c)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ c d) a) b) d) (*.f64 (/.f64 (/.f64 c d) d) a))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (*.f64 (/.f64 c d) a)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d)) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (fma.f64 c c (*.f64 d d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) |
2 calls:
| 18.0ms | c |
| 7.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.0% | 3 | d |
| 76.8% | 3 | c |
Compiled 2 to 8 computations (-300% saved)
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (*.f64 (/.f64 c (*.f64 d d)) a))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ b c) d) a) c) (*.f64 (/.f64 d (*.f64 c c)) b))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c a) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ (/ d c) c) b) (/ a c)) (*.f64 (/.f64 d c) (/.f64 b c)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ (/ d c) c) b) (/ a c)) (*.f64 (/.f64 (/.f64 b c) c) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ (/ d c) c) b) (/ a c)) (/.f64 b (*.f64 (/.f64 c d) c)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ c d) a) b) d) (*.f64 (/.f64 (/.f64 c d) d) a))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ a d) c) b) (/.f64 (*.f64 c a) d)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (*.f64 (/.f64 c d) a)) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 #s(approx (+ (* (/ c d) a) b) (/.f64 (*.f64 c a) d)) d)) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) (fma.f64 c c (*.f64 d d))) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
3 calls:
| 9.0ms | c |
| 6.0ms | d |
| 6.0ms | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.6% | 4 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 65.8% | 3 | c |
| 74.2% | 5 | d |
Compiled 17 to 19 computations (-11.8% saved)
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (*.f64 (/.f64 c (*.f64 d d)) a))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ b c) d) a) c) (*.f64 (/.f64 d (*.f64 c c)) b))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c a) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ (/ d c) c) b) (/ a c)) (*.f64 (/.f64 d c) (/.f64 b c)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ (/ d c) c) b) (/ a c)) (*.f64 (/.f64 (/.f64 b c) c) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ (/ d c) c) b) (/ a c)) (/.f64 b (*.f64 (/.f64 c d) c)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ c d) a) b) d) (*.f64 (/.f64 (/.f64 c d) d) a))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d)) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
1 calls:
| 5.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.5% | 4 | d |
Compiled 1 to 4 computations (-300% saved)
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 a) (/.f64 #s(literal -1 binary64) c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ a d) c) b) d) (*.f64 (/.f64 c (*.f64 d d)) a))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ b c) d) a) c) (*.f64 (/.f64 d (*.f64 c c)) b))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 a (/.f64 c #s(approx (+ (* c c) (* d d)) (*.f64 d d))))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 c c))) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a #s(approx (+ (* c c) (* d d)) (*.f64 d d))) c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (*.f64 c a) #s(approx (+ (* c c) (* d d)) (*.f64 d d)))) |
(/.f64 #s(approx (+ (* a c) (* b d)) (*.f64 d b)) #s(approx (+ (* c c) (* d d)) (*.f64 c c))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ (/ d c) c) b) (/ a c)) (*.f64 (/.f64 d c) (/.f64 b c)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ (/ d c) c) b) (/ a c)) (*.f64 (/.f64 (/.f64 b c) c) d))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (+ (* (/ (/ d c) c) b) (/ a c)) (/.f64 b (*.f64 (/.f64 c d) c)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) #s(approx (/ (+ (* (/ c d) a) b) d) (*.f64 (/.f64 (/.f64 c d) d) a))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 a (fma.f64 c c (*.f64 d d))) c)) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) |
1 calls:
| 5.0ms | d |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.9% | 3 | d |
Compiled 1 to 4 computations (-300% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
| Outputs |
|---|
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
5 calls:
| 19.0ms | d |
| 1.0ms | b |
| 1.0ms | a |
| 1.0ms | c |
| 1.0ms | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 43.3% | 1 | (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) |
| 43.3% | 1 | c |
| 43.3% | 1 | a |
| 43.3% | 1 | b |
| 43.3% | 1 | d |
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 |
|---|---|---|
| 16.0ms | 1.196281187583971e+93 | 6.910599507160332e+105 |
| 24.0ms | 4.76268995182416e-131 | 3.0338553267936845e-127 |
| 10.0ms | -3.2449942427283113e-161 | -6.235682395679375e-162 |
| 14.0ms | -1.9274357087454034e+96 | -4.963931659736098e+89 |
| 34.0ms | 528× | 0 | valid |
Compiled 810 to 711 computations (12.2% saved)
ival-mult: 13.0ms (62.4% of total)ival-add: 4.0ms (19.2% of total)ival-div: 3.0ms (14.4% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 2.0371222098336713e+77 | 1.6831081390209848e+79 |
| 10.0ms | -532254174283298.8 | -93582297671082.3 |
| 16.0ms | 208× | 0 | valid |
Compiled 252 to 252 computations (0% saved)
ival-mult: 5.0ms (63% of total)ival-add: 2.0ms (25.2% of total)ival-div: 1.0ms (12.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.0371222098336713e+77 | 1.6831081390209848e+79 |
| 1.0ms | -532254174283298.8 | -93582297671082.3 |
Compiled 252 to 252 computations (0% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 6.248142469118054e-42 | 2.3534079469635506e-40 |
| 13.0ms | -8.771129232699139e-16 | -3.457819128230327e-20 |
| 18.0ms | 240× | 0 | valid |
Compiled 213 to 258 computations (-21.1% saved)
ival-mult: 6.0ms (64.9% of total)ival-add: 2.0ms (21.6% of total)ival-div: 1.0ms (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 |
|---|---|---|
| 14.0ms | 2.7935921100949564e+90 | 1.196281187583971e+93 |
| 16.0ms | 9.4901613137361e-120 | 6.58607214455557e-118 |
| 8.0ms | -8.771129232699139e-16 | -3.457819128230327e-20 |
| 23.0ms | -3.686670969601899e+153 | -5.848636497736433e+135 |
| 44.0ms | 480× | 0 | valid |
Compiled 513 to 579 computations (-12.9% saved)
ival-mult: 13.0ms (65.8% of total)ival-add: 4.0ms (20.3% of total)ival-div: 3.0ms (15.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 1.0082831993742486e+21 | 7.356308337801063e+24 |
| 1.0ms | -8.771129232699139e-16 | -3.457819128230327e-20 |
| 1.0ms | -3.686670969601899e+153 | -5.848636497736433e+135 |
| 10.0ms | 128× | 0 | valid |
Compiled 352 to 436 computations (-23.9% saved)
ival-mult: 5.0ms (77.4% of total)ival-div: 1.0ms (15.5% of total)ival-add: 1.0ms (15.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.0082831993742486e+21 | 7.356308337801063e+24 |
| 1.0ms | -8.771129232699139e-16 | -3.457819128230327e-20 |
Compiled 146 to 242 computations (-65.8% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 85 | 657 |
| 1 | 91 | 657 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 d #s(literal -44999999999999999057176132924958487708788574405639572698880203879111155593596049794531328000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) (if (<=.f64 d #s(literal -3735678383849771/126633165554229521438977290762059361297987250739820462036000284719563379254544315991201997343356439034674007770120263341747898897565056619503383631412169301973302667340133957632 binary64)) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 d #s(literal 6867846810695183/6243497100631984462763194459586332611497196285329942301718313919250743477639531240240612206126983942319653862242813245790895951358576570612580352 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (if (<=.f64 d #s(literal 4099999999999999793228208638413594063303264555924918439873386831377080921336118871486922765472104448 binary64)) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)))))) |
(if (<=.f64 c #s(literal -160000000000000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (if (<=.f64 c #s(literal 205000000000000004826513438883650439151085551837778123101104564117035609489408 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)))) |
(if (<=.f64 c #s(literal -160000000000000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (if (<=.f64 c #s(literal 205000000000000004826513438883650439151085551837778123101104564117035609489408 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)))) |
(if (<=.f64 d #s(literal -2803840303608807/20769187434139310514121985316880384 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal 3060087096001007/392318858461667547739736838950479151006397215279002157056 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)))) |
(if (<=.f64 d #s(literal -209999999999999990370328902976819502789389938116242460347468745407306389332525597204095495374039111033899135011825590281735882407600455680 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal -571152654438831/10384593717069655257060992658440192 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d)) (if (<=.f64 d #s(literal 248431204593225/709803441694928604052074031140629428079727891296209043243642772637343054798240159498233447962659731992932150006119314388217384402944 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 d #s(literal 1179999999999999923813912269002824600554462613886589749317309939211997395806481302206319427584 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)))))) |
(if (<=.f64 d #s(literal -209999999999999990370328902976819502789389938116242460347468745407306389332525597204095495374039111033899135011825590281735882407600455680 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal -571152654438831/10384593717069655257060992658440192 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d)) (if (<=.f64 d #s(literal 115000000000000002097152 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))))) |
(if (<=.f64 d #s(literal -2803840303608807/20769187434139310514121985316880384 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal 115000000000000002097152 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
| Outputs |
|---|
(if (<=.f64 d #s(literal -44999999999999999057176132924958487708788574405639572698880203879111155593596049794531328000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) (if (<=.f64 d #s(literal -3735678383849771/126633165554229521438977290762059361297987250739820462036000284719563379254544315991201997343356439034674007770120263341747898897565056619503383631412169301973302667340133957632 binary64)) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) (if (<=.f64 d #s(literal 6867846810695183/6243497100631984462763194459586332611497196285329942301718313919250743477639531240240612206126983942319653862242813245790895951358576570612580352 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (if (<=.f64 d #s(literal 4099999999999999793228208638413594063303264555924918439873386831377080921336118871486922765472104448 binary64)) (/.f64 (+.f64 (*.f64 a c) (*.f64 b d)) (+.f64 (*.f64 c c) (*.f64 d d))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)))))) |
(if (<=.f64 d #s(literal -44999999999999999057176132924958487708788574405639572698880203879111155593596049794531328000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) (if (<=.f64 d #s(literal -3735678383849771/126633165554229521438977290762059361297987250739820462036000284719563379254544315991201997343356439034674007770120263341747898897565056619503383631412169301973302667340133957632 binary64)) (/.f64 (+.f64 (*.f64 b d) (*.f64 c a)) (+.f64 (*.f64 d d) (*.f64 c c))) (if (<=.f64 d #s(literal 6867846810695183/6243497100631984462763194459586332611497196285329942301718313919250743477639531240240612206126983942319653862242813245790895951358576570612580352 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (if (<=.f64 d #s(literal 4099999999999999793228208638413594063303264555924918439873386831377080921336118871486922765472104448 binary64)) (/.f64 (+.f64 (*.f64 b d) (*.f64 c a)) (+.f64 (*.f64 d d) (*.f64 c c))) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)))))) |
(if (<=.f64 c #s(literal -160000000000000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (if (<=.f64 c #s(literal 205000000000000004826513438883650439151085551837778123101104564117035609489408 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 c d) a b) d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)))) |
(if (<=.f64 c #s(literal -160000000000000 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)) (if (<=.f64 c #s(literal 205000000000000004826513438883650439151085551837778123101104564117035609489408 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 b c) d a) c)))) |
(if (<=.f64 d #s(literal -2803840303608807/20769187434139310514121985316880384 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)) (if (<=.f64 d #s(literal 3060087096001007/392318858461667547739736838950479151006397215279002157056 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 (fma.f64 (/.f64 a d) c b) d)))) |
(if (<=.f64 d #s(literal -209999999999999990370328902976819502789389938116242460347468745407306389332525597204095495374039111033899135011825590281735882407600455680 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal -571152654438831/10384593717069655257060992658440192 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d)) (if (<=.f64 d #s(literal 248431204593225/709803441694928604052074031140629428079727891296209043243642772637343054798240159498233447962659731992932150006119314388217384402944 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) (if (<=.f64 d #s(literal 1179999999999999923813912269002824600554462613886589749317309939211997395806481302206319427584 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 d (fma.f64 c c (*.f64 d d))) b)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)))))) |
(if (<=.f64 d #s(literal -209999999999999990370328902976819502789389938116242460347468745407306389332525597204095495374039111033899135011825590281735882407600455680 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal -571152654438831/10384593717069655257060992658440192 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (*.f64 (/.f64 b (fma.f64 c c (*.f64 d d))) d)) (if (<=.f64 d #s(literal 115000000000000002097152 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d))))) |
(if (<=.f64 d #s(literal -2803840303608807/20769187434139310514121985316880384 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)) (if (<=.f64 d #s(literal 115000000000000002097152 binary64)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) #s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 b d)))) |
#s(approx (/ (+ (* a c) (* b d)) (+ (* c c) (* d d))) (/.f64 a c)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 453 | 8840 |
| 1 | 1411 | 8712 |
| 2 | 4230 | 8570 |
| 0 | 8244 | 7912 |
| 0 | 186 | 1356 |
| 1 | 618 | 1346 |
| 2 | 1890 | 1322 |
| 3 | 5760 | 1320 |
| 0 | 8315 | 1190 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 409 to 213 computations (47.9% saved)
Compiled 666 to 218 computations (67.3% saved)
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