
Time bar (total: 8.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 4 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 5 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 6 |
| 40% | 37.4% | 56.2% | 0.1% | 0% | 6.2% | 0% | 7 |
| 48.3% | 45.2% | 48.4% | 0.1% | 0% | 6.2% | 0% | 8 |
| 53% | 48.4% | 42.9% | 0.1% | 0% | 8.6% | 0% | 9 |
| 58.1% | 50.3% | 36.3% | 0.1% | 0% | 13.3% | 0% | 10 |
| 66.1% | 56.8% | 29.1% | 0.1% | 0% | 14% | 0% | 11 |
| 70.4% | 58.8% | 24.7% | 0.1% | 0% | 16.4% | 0% | 12 |
Compiled 19 to 16 computations (15.8% saved)
| 506.0ms | 5 553× | 0 | valid |
| 257.0ms | 1 242× | 2 | valid |
| 184.0ms | 1 289× | 1 | valid |
| 82.0ms | 946× | 0 | invalid |
| 53.0ms | 172× | 3 | valid |
ival-mult: 243.0ms (31.8% of total)ival-sub: 137.0ms (17.9% of total)ival-sqrt: 122.0ms (16% of total)ival-div: 119.0ms (15.6% of total)adjust: 79.0ms (10.3% of total)ival-neg: 45.0ms (5.9% of total)exact: 10.0ms (1.3% of total)ival-true: 7.0ms (0.9% of total)ival-assert: 4.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 97 | 0 | - | 1 | (-1.5255523146724904e-215 9.773868297096778e-181 3.746065901737879e-101) | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) |
| 56 | 0 | - | 0 | - | (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) |
| 13 | 0 | - | 3 | (-1.8838504660009665e-287 -4.1270794018762794e+36 310465294.7475285) | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
| 1 | 0 | - | 0 | - | (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) |
| 0 | 0 | - | 0 | - | a |
| 0 | 1 | (-1.458182867008647e-207 2079567734780808.8 4.648521004486294e-118) | 0 | - | (*.f64 #s(literal 4 binary64) (*.f64 a c)) |
| 0 | 0 | - | 0 | - | (*.f64 a c) |
| 0 | 0 | - | 0 | - | #s(literal 4 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 b b) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) a) |
| 0 | 0 | - | 0 | - | c |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (neg.f64 b) |
| 0 | 0 | - | 0 | - | b |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) | oflow-rescue | 92 | 0 |
| ↳ | (*.f64 b b) | overflow | 81 | |
| ↳ | (*.f64 #s(literal 4 binary64) (*.f64 a c)) | overflow | 15 | |
| ↳ | (*.f64 a c) | overflow | 15 | |
| ↳ | (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) | overflow | 92 | |
-.f64 | (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) | cancellation | 56 | 0 |
/.f64 | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) | u/n | 10 | 0 |
| ↳ | (*.f64 b b) | underflow | 41 | |
| ↳ | (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) | underflow | 21 | |
| ↳ | (*.f64 #s(literal 4 binary64) (*.f64 a c)) | underflow | 34 | |
| ↳ | (*.f64 a c) | underflow | 35 | |
| ↳ | (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) | underflow | 4 | |
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) | uflow-rescue | 4 | 0 |
| ↳ | (*.f64 b b) | underflow | 41 | |
| ↳ | (*.f64 #s(literal 4 binary64) (*.f64 a c)) | underflow | 34 | |
| ↳ | (*.f64 a c) | underflow | 35 | |
| ↳ | (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) | underflow | 4 | |
-.f64 | (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) | nan-rescue | 1 | 0 |
| ↳ | (*.f64 b b) | overflow | 81 | |
| ↳ | (*.f64 #s(literal 4 binary64) (*.f64 a c)) | overflow | 15 | |
| ↳ | (*.f64 a c) | overflow | 15 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 111 | 1 |
| - | 23 | 121 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 111 | 0 | 1 |
| - | 23 | 0 | 121 |
| number | freq |
|---|---|
| 0 | 122 |
| 1 | 105 |
| 2 | 29 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 73.0ms | 358× | 0 | valid |
| 14.0ms | 64× | 2 | valid |
| 13.0ms | 80× | 1 | valid |
| 3.0ms | 10× | 3 | valid |
Compiled 231 to 60 computations (74% saved)
ival-sub: 47.0ms (59.4% of total)ival-mult: 13.0ms (16.4% of total)ival-sqrt: 6.0ms (7.6% of total)ival-div: 5.0ms (6.3% of total)adjust: 4.0ms (5.1% of total)ival-neg: 2.0ms (2.5% of total)exact: 1.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 158 |
| 1 | 189 | 151 |
| 2 | 590 | 147 |
| 3 | 1942 | 144 |
| 4 | 4692 | 144 |
| 5 | 5896 | 144 |
| 6 | 6384 | 144 |
| 7 | 6472 | 144 |
| 8 | 6511 | 144 |
| 9 | 6782 | 144 |
| 0 | 14 | 17 |
| 0 | 23 | 17 |
| 1 | 45 | 17 |
| 2 | 104 | 17 |
| 3 | 247 | 16 |
| 4 | 409 | 16 |
| 5 | 743 | 16 |
| 6 | 1570 | 16 |
| 7 | 2082 | 16 |
| 8 | 2242 | 16 |
| 9 | 2312 | 16 |
| 10 | 2322 | 16 |
| 11 | 2322 | 16 |
| 12 | 2328 | 16 |
| 0 | 2328 | 15 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
| Outputs |
|---|
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) |
Compiled 17 to 14 computations (17.6% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 58.6% | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
Compiled 17 to 14 computations (17.6% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) | |
| cost-diff | 128 | (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) | |
| cost-diff | 128 | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 70 |
| 0 | 23 | 70 |
| 1 | 45 | 70 |
| 2 | 104 | 70 |
| 3 | 247 | 69 |
| 4 | 409 | 69 |
| 5 | 743 | 69 |
| 6 | 1570 | 69 |
| 7 | 2082 | 69 |
| 8 | 2242 | 69 |
| 9 | 2312 | 69 |
| 10 | 2322 | 69 |
| 11 | 2322 | 69 |
| 12 | 2328 | 69 |
| 0 | 2328 | 65 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) |
(neg.f64 b) |
b |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) |
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) |
(*.f64 b b) |
(*.f64 #s(literal 4 binary64) (*.f64 a c)) |
#s(literal 4 binary64) |
(*.f64 a c) |
a |
c |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
| Outputs |
|---|
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) |
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) |
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) |
(neg.f64 b) |
b |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) |
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) |
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(*.f64 b b) |
(*.f64 #s(literal 4 binary64) (*.f64 a c)) |
(*.f64 (*.f64 c a) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(*.f64 a c) |
(*.f64 c a) |
a |
c |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.20312500000000003 | (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) | |
| accuracy | 2.50102475416605 | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) | |
| accuracy | 12.610216129111473 | (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) | |
| accuracy | 22.4939934248599 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) |
| 35.0ms | 179× | 0 | valid |
| 14.0ms | 32× | 2 | valid |
| 6.0ms | 40× | 1 | valid |
| 1.0ms | 5× | 3 | valid |
Compiled 142 to 30 computations (78.9% saved)
adjust: 9.0ms (34.1% of total)ival-mult: 6.0ms (22.7% of total)ival-sub: 4.0ms (15.2% of total)ival-div: 3.0ms (11.4% of total)ival-sqrt: 3.0ms (11.4% of total)ival-neg: 1.0ms (3.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) (patch (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) #<representation binary64>) () ()) |
#s(alt (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (patch (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) #<representation binary64>) () ()) |
#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (/ b a)) (taylor 0 c) (#s(alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ b a)) (/ c b)) (taylor 0 c) (#s(alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (pow b 2) (taylor 0 c) (#s(alt (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) (patch (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) (patch (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) (patch (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) (patch (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 b) (taylor 0 c) (#s(alt (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (patch (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 2 (/ (* a c) b)) (* 2 b)) (taylor 0 c) (#s(alt (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (patch (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) #<representation binary64>) () ())) ()) |
#s(alt (- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b)) (taylor 0 c) (#s(alt (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (patch (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) #<representation binary64>) () ())) ()) |
#s(alt (- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b)) (taylor 0 c) (#s(alt (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (patch (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) #<representation binary64>) () ())) ()) |
#s(alt b (taylor 0 c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #<representation binary64>) () ())) ()) |
#s(alt (+ b (* -2 (/ (* a c) b))) (taylor 0 c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #<representation binary64>) () ())) ()) |
#s(alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) (taylor 0 c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #<representation binary64>) () ())) ()) |
#s(alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) (taylor 0 c) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (taylor inf c) (#s(alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) (taylor inf c) (#s(alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) (taylor inf c) (#s(alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) (taylor inf a) (#s(alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -4 (* a c)) (taylor inf a) (#s(alt (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) (patch (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) #<representation binary64>) () ())) ()) |
#s(alt (* a (- (/ (pow b 2) a) (* 4 c))) (taylor inf a) (#s(alt (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) (patch (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) #<representation binary64>) () ())) ()) |
#s(alt (* a (- (/ (pow b 2) a) (* 4 c))) (taylor inf a) (#s(alt (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) (patch (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) #<representation binary64>) () ())) ()) |
#s(alt (* a (- (/ (pow b 2) a) (* 4 c))) (taylor inf a) (#s(alt (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) (patch (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (* a c)) (sqrt -4))) (taylor inf a) (#s(alt (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (patch (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) #<representation binary64>) () ())) ()) |
#s(alt (* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) (taylor inf a) (#s(alt (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (patch (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) #<representation binary64>) () ())) ()) |
#s(alt (* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) (taylor inf a) (#s(alt (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (patch (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) #<representation binary64>) () ())) ()) |
#s(alt (* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) (taylor inf a) (#s(alt (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (patch (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #<representation binary64>) () ())) ()) |
#s(alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) (taylor inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (/ c a)) (sqrt -1)) (taylor -inf a) (#s(alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) (taylor -inf a) (#s(alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) (taylor -inf a) (#s(alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) (taylor -inf a) (#s(alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -4 (* a c)) (taylor -inf a) (#s(alt (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) (patch (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) (taylor -inf a) (#s(alt (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) (patch (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) (taylor -inf a) (#s(alt (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) (patch (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) (taylor -inf a) (#s(alt (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) (patch (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf a) (#s(alt (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (patch (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (patch (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (patch (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (patch (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (* (sqrt (* a c)) (sqrt -1))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) (taylor -inf a) (#s(alt (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) (patch (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | c | @ | inf | ((/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (* b b) (* 4 (* a c))) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (neg b) (sqrt (- (* b b) (* 4 (* a c))))) |
| 3.0ms | b | @ | inf | ((/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (* b b) (* 4 (* a c))) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (neg b) (sqrt (- (* b b) (* 4 (* a c))))) |
| 2.0ms | a | @ | -inf | ((/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (* b b) (* 4 (* a c))) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (neg b) (sqrt (- (* b b) (* 4 (* a c))))) |
| 2.0ms | c | @ | -inf | ((/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (* b b) (* 4 (* a c))) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (neg b) (sqrt (- (* b b) (* 4 (* a c))))) |
| 2.0ms | b | @ | 0 | ((/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (* b b) (* 4 (* a c))) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (neg b) (sqrt (- (* b b) (* 4 (* a c))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 545 | 3138 |
| 1 | 1718 | 3109 |
| 2 | 5763 | 3070 |
| 0 | 8125 | 2910 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b)) |
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b)) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* -4 (* a c)) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))) |
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(* -4 (* a c)) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(* -4 (* a c)) |
(- (pow b 2) (* 4 (* a c))) |
(- (pow b 2) (* 4 (* a c))) |
(- (pow b 2) (* 4 (* a c))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* -2 b) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* -2 (/ (* a c) b)) |
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)) |
(* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b)) |
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b)) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* -4 (* a c)) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) |
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -4 (* a c)) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
| Outputs |
|---|
(* -1 (/ b a)) |
(/.f64 (neg.f64 b) a) |
(+ (* -1 (/ b a)) (/ c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(fma.f64 (fma.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) a (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a)) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal 2 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a)) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(* -2 b) |
(*.f64 #s(literal -2 binary64) b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64)) |
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b)) |
(fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 c (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 a b))) c (*.f64 #s(literal -2 binary64) b)) |
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal 2 binary64))) c (*.f64 (/.f64 a b) #s(literal 2 binary64))) c (*.f64 #s(literal -2 binary64) b)) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 (*.f64 #s(literal -2 binary64) c) (/.f64 a b) b) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(fma.f64 (*.f64 (fma.f64 c (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 a b)) #s(literal -2 binary64)) c b) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) (*.f64 (/.f64 c (pow.f64 b #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64))) (*.f64 (fma.f64 c (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 a b)) #s(literal -2 binary64))) c b) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(*.f64 (*.f64 c #s(literal -1/2 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (/.f64 b a) c))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(*.f64 (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (/.f64 b a) c)) #s(literal -1/2 binary64) (*.f64 (*.f64 (/.f64 b #s(literal -4 binary64)) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))))) c) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(*.f64 (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (/.f64 b a) c)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) b) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b #s(literal -4 binary64)) (*.f64 (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 5 binary64))))) (sqrt.f64 #s(literal -4 binary64))) #s(literal -1/64 binary64)))) c) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (*.f64 c a))) |
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(*.f64 (neg.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b c))) c) |
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))) |
(*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b c)))) c) |
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))) |
(*.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -4 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b c))))) c) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))) c) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(*.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))) c) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(*.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 7 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))))) c) |
(* (sqrt (/ c a)) (sqrt -1)) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(*.f64 (neg.f64 c) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 b a) c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/8 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) c)) c) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/128 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64)))) (neg.f64 c))) c)) c) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a))) |
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (/.f64 b c))) |
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 b b)) #s(literal 1/4 binary64) (neg.f64 b)) c) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)))) c) |
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
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(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) a (/.f64 #s(literal 1 binary64) b)) c)) a (*.f64 #s(literal -2 binary64) b)) |
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal 4 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 #s(literal 2 binary64) (/.f64 c b))) a (*.f64 #s(literal -2 binary64) b)) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 (*.f64 #s(literal -2 binary64) c) (/.f64 a b) b) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) a) (*.f64 (fma.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) a (/.f64 #s(literal 1 binary64) b)) c) b) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -4 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a b) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(*.f64 (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)) #s(literal -1/2 binary64)) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(fma.f64 (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)) #s(literal -1/2 binary64) (*.f64 (*.f64 (/.f64 b #s(literal -4 binary64)) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(fma.f64 (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -4 binary64))) #s(literal -1/64 binary64) (*.f64 (*.f64 (/.f64 b #s(literal -4 binary64)) (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))))) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(*.f64 (fma.f64 #s(literal -4 binary64) c (*.f64 b (/.f64 b a))) a) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(*.f64 (fma.f64 #s(literal -4 binary64) c (*.f64 b (/.f64 b a))) a) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(*.f64 (fma.f64 #s(literal -4 binary64) c (*.f64 b (/.f64 b a))) a) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (*.f64 c a))) |
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(*.f64 (neg.f64 (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a))) a) |
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))) a) |
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) |
(*.f64 (fma.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -4 binary64))) (neg.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a))))) a) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)))) a) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(*.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))))) a) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(*.f64 (fma.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 7 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)))))) a) |
(* (sqrt (/ c a)) (sqrt -1)) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 b b)) #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) b)) (neg.f64 a))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 #s(literal 1/2 binary64) b (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/128 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/8 binary64)))) (neg.f64 a))) (neg.f64 a))) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(*.f64 (fma.f64 #s(literal -4 binary64) c (*.f64 b (/.f64 b a))) a) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(*.f64 (fma.f64 #s(literal -4 binary64) c (*.f64 b (/.f64 b a))) a) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(*.f64 (fma.f64 #s(literal -4 binary64) c (*.f64 b (/.f64 b a))) a) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a))) |
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 b a))) |
(* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (+.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 b b)) #s(literal 1/4 binary64) (neg.f64 b)) a) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)))) a) |
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 b b)) #s(literal -1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/64 binary64)))) a) b) a))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64))))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 51 |
| 0 | 23 | 51 |
| 1 | 81 | 51 |
| 2 | 591 | 48 |
| 0 | 8093 | 44 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) |
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) |
(neg.f64 b) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) |
| Outputs |
|---|
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Compiled 21 428 to 2 311 computations (89.2% saved)
15 alts after pruning (15 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 650 | 15 | 665 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 651 | 15 | 666 |
| Status | Accuracy | Program |
|---|---|---|
| 26.9% | (/.f64 (fma.f64 b b (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a))) | |
| 38.9% | (/.f64 (-.f64 (*.f64 (*.f64 b #s(literal -1/2 binary64)) a) (*.f64 a (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) #s(literal 1/2 binary64)))) (*.f64 a a)) | |
| 48.9% | (/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) | |
| ▶ | 57.9% | (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a)) |
| ▶ | 58.6% | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
| 36.8% | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a)) | |
| 9.4% | (/.f64 (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) | |
| 27.1% | (/.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) | |
| 22.9% | (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) b) (/.f64 a b) (*.f64 c a)) #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a)) | |
| 36.5% | (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))) | |
| 36.5% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) | |
| ▶ | 31.9% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (*.f64 (/.f64 c b) a) (/.f64 c b) c) (neg.f64 b))) |
| 39.6% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) | |
| ▶ | 32.1% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) |
| ▶ | 39.6% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
Compiled 494 to 364 computations (26.3% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) | |
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 128 | (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))) | |
| cost-diff | 128 | (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a)) | |
| cost-diff | 0 | (*.f64 (/.f64 c b) a) | |
| cost-diff | 0 | (fma.f64 (*.f64 (/.f64 c b) a) (/.f64 c b) c) | |
| cost-diff | 0 | (/.f64 (fma.f64 (*.f64 (/.f64 c b) a) (/.f64 c b) c) (neg.f64 b)) | |
| cost-diff | 0 | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (*.f64 (/.f64 c b) a) (/.f64 c b) c) (neg.f64 b))) | |
| cost-diff | 0 | (/.f64 b a) | |
| cost-diff | 0 | (/.f64 c b) | |
| cost-diff | 0 | (-.f64 (/.f64 c b) (/.f64 b a)) | |
| cost-diff | 0 | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) | |
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | (/.f64 c (neg.f64 b)) | |
| cost-diff | 0 | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) | |
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) | |
| cost-diff | 128 | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 294 |
| 0 | 66 | 291 |
| 1 | 118 | 291 |
| 2 | 229 | 289 |
| 3 | 476 | 285 |
| 4 | 870 | 285 |
| 5 | 1823 | 285 |
| 6 | 3939 | 285 |
| 7 | 5038 | 285 |
| 8 | 5596 | 285 |
| 9 | 5823 | 285 |
| 10 | 5847 | 285 |
| 11 | 5870 | 285 |
| 12 | 6995 | 285 |
| 13 | 7411 | 285 |
| 14 | 7429 | 285 |
| 15 | 7429 | 285 |
| 16 | 7431 | 285 |
| 17 | 7431 | 285 |
| 18 | 7794 | 285 |
| 0 | 8034 | 284 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) |
(neg.f64 b) |
b |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(*.f64 #s(literal -4 binary64) c) |
#s(literal -4 binary64) |
c |
a |
(*.f64 b b) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) |
(/.f64 c (neg.f64 b)) |
c |
(neg.f64 b) |
b |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 c b) |
c |
b |
(/.f64 b a) |
a |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (*.f64 (/.f64 c b) a) (/.f64 c b) c) (neg.f64 b))) |
(/.f64 (fma.f64 (*.f64 (/.f64 c b) a) (/.f64 c b) c) (neg.f64 b)) |
(fma.f64 (*.f64 (/.f64 c b) a) (/.f64 c b) c) |
(*.f64 (/.f64 c b) a) |
(/.f64 c b) |
c |
b |
a |
(neg.f64 b) |
(/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))) |
(neg.f64 b) |
b |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) |
#s(literal 1 binary64) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
#s(literal -4 binary64) |
(*.f64 c a) |
c |
a |
(*.f64 b b) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
| Outputs |
|---|
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)) |
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) |
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) |
(neg.f64 b) |
b |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) |
(*.f64 #s(literal -4 binary64) c) |
(*.f64 c #s(literal -4 binary64)) |
#s(literal -4 binary64) |
c |
a |
(*.f64 b b) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) |
(/.f64 c (neg.f64 b)) |
c |
(neg.f64 b) |
b |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 c b) |
c |
b |
(/.f64 b a) |
a |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (*.f64 (/.f64 c b) a) (/.f64 c b) c) (neg.f64 b))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (/.f64 (fma.f64 (/.f64 (/.f64 a b) b) c #s(literal 1 binary64)) b) (neg.f64 c))) |
(/.f64 (fma.f64 (*.f64 (/.f64 c b) a) (/.f64 c b) c) (neg.f64 b)) |
(*.f64 (/.f64 (fma.f64 (/.f64 (/.f64 a b) b) c #s(literal 1 binary64)) b) (neg.f64 c)) |
(fma.f64 (*.f64 (/.f64 c b) a) (/.f64 c b) c) |
(*.f64 (/.f64 c b) a) |
(/.f64 c b) |
c |
b |
a |
(neg.f64 b) |
(/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) b (/.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))))) a) |
(-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))) |
(-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))) b) |
(neg.f64 b) |
b |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))))) |
#s(literal 1 binary64) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) |
#s(literal -4 binary64) |
(*.f64 c a) |
(*.f64 a c) |
c |
a |
(*.f64 b b) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.746445316477187 | (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) | |
| accuracy | 2.50102475416605 | (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a)) | |
| accuracy | 12.610216129111473 | (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))) | |
| accuracy | 21.7057394455923 | (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) | |
| accuracy | 0.046875 | (fma.f64 (*.f64 (/.f64 c b) a) (/.f64 c b) c) | |
| accuracy | 0.5085672348643375 | (/.f64 (fma.f64 (*.f64 (/.f64 c b) a) (/.f64 c b) c) (neg.f64 b)) | |
| accuracy | 3.406656149446143 | (*.f64 (/.f64 c b) a) | |
| accuracy | 43.54844731964411 | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (*.f64 (/.f64 c b) a) (/.f64 c b) c) (neg.f64 b))) | |
| accuracy | 0 | (/.f64 c b) | |
| accuracy | 0 | (/.f64 b a) | |
| accuracy | 0 | (-.f64 (/.f64 c b) (/.f64 b a)) | |
| accuracy | 38.68374818738103 | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) | |
| accuracy | 0 | (/.f64 c (neg.f64 b)) | |
| accuracy | 0 | (neg.f64 b) | |
| accuracy | 43.478897057126886 | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) | |
| accuracy | 0.00390625 | (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) | |
| accuracy | 2.50102475416605 | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) | |
| accuracy | 12.610216129111473 | (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) | |
| accuracy | 22.4939934248599 | (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
| 63.0ms | 179× | 0 | valid |
| 21.0ms | 32× | 2 | valid |
| 18.0ms | 40× | 1 | valid |
| 4.0ms | 5× | 3 | valid |
Compiled 524 to 71 computations (86.5% saved)
ival-div: 19.0ms (25.3% of total)ival-mult: 18.0ms (23.9% of total)ival-sub: 17.0ms (22.6% of total)ival-sqrt: 8.0ms (10.6% of total)adjust: 6.0ms (8% of total)ival-add: 5.0ms (6.7% of total)exact: 1.0ms (1.3% of total)ival-neg: 1.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ()) |
#s(alt (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (patch (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #<representation binary64>) () ()) |
#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (patch #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) #<representation binary64>) () ()) |
#s(alt (/.f64 c (neg.f64 b)) (patch (/.f64 c (neg.f64 b)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (patch #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 c b) (/.f64 b a)) (patch (-.f64 (/.f64 c b) (/.f64 b a)) #<representation binary64>) () ()) |
#s(alt (/.f64 c b) (patch (/.f64 c b) #<representation binary64>) () ()) |
#s(alt (/.f64 b a) (patch (/.f64 b a) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (*.f64 (/.f64 c b) a) (/.f64 c b) c) (neg.f64 b))) (patch #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (*.f64 (/.f64 c b) a) (/.f64 c b) c) (neg.f64 b))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (*.f64 (/.f64 c b) a) (/.f64 c b) c) (neg.f64 b)) (patch (/.f64 (fma.f64 (*.f64 (/.f64 c b) a) (/.f64 c b) c) (neg.f64 b)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (/.f64 c b) a) (/.f64 c b) c) (patch (fma.f64 (*.f64 (/.f64 c b) a) (/.f64 c b) c) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 c b) a) (patch (*.f64 (/.f64 c b) a) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ()) |
#s(alt (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))) (patch (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (/ b a)) (taylor 0 c) (#s(alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ b a)) (/ c b)) (taylor 0 c) (#s(alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* -2 b) (taylor 0 c) (#s(alt (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (patch (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (- (* 2 (/ (* a c) b)) (* 2 b)) (taylor 0 c) (#s(alt (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (patch (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b)) (taylor 0 c) (#s(alt (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (patch (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b)) (taylor 0 c) (#s(alt (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (patch (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt b (taylor 0 c) (#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (+ b (* -2 (/ (* a c) b))) (taylor 0 c) (#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) (taylor 0 c) (#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) (taylor 0 c) (#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ b a)) (taylor 0 c) (#s(alt #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (patch #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ b a)) (/ c b)) (taylor 0 c) (#s(alt #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (patch #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) (taylor 0 c) (#s(alt #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (patch #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (patch #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (/.f64 c (neg.f64 b)) (patch (/.f64 c (neg.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (/.f64 c (neg.f64 b)) (patch (/.f64 c (neg.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (/.f64 c (neg.f64 b)) (patch (/.f64 c (neg.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (/.f64 c (neg.f64 b)) (patch (/.f64 c (neg.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ b a)) (taylor 0 c) (#s(alt #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (patch #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ b a)) (/ c b)) (taylor 0 c) (#s(alt #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (patch #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) (taylor 0 c) (#s(alt #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (patch #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) (patch #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ b a)) (taylor 0 c) (#s(alt (-.f64 (/.f64 c b) (/.f64 b a)) (patch (-.f64 (/.f64 c b) (/.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ c b) (/ b a)) (taylor 0 c) (#s(alt (-.f64 (/.f64 c b) (/.f64 b a)) (patch (-.f64 (/.f64 c b) (/.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ c b) (/ b a)) (taylor 0 c) (#s(alt (-.f64 (/.f64 c b) (/.f64 b a)) (patch (-.f64 (/.f64 c b) (/.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ c b) (/ b a)) (taylor 0 c) (#s(alt (-.f64 (/.f64 c b) (/.f64 b a)) (patch (-.f64 (/.f64 c b) (/.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt (/ c b) (taylor 0 c) (#s(alt (/.f64 c b) (patch (/.f64 c b) #<representation binary64>) () ())) ()) |
#s(alt (/ c b) (taylor 0 c) (#s(alt (/.f64 c b) (patch (/.f64 c b) #<representation binary64>) () ())) ()) |
#s(alt (/ c b) (taylor 0 c) (#s(alt (/.f64 c b) (patch (/.f64 c b) #<representation binary64>) () ())) ()) |
#s(alt (/ c b) (taylor 0 c) (#s(alt (/.f64 c b) (patch (/.f64 c b) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ b a)) (taylor 0 c) (#s(alt #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (*.f64 (/.f64 c b) a) (/.f64 c b) c) (neg.f64 b))) (patch #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (*.f64 (/.f64 c b) a) (/.f64 c b) c) (neg.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ b a)) (/ c b)) (taylor 0 c) (#s(alt #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (*.f64 (/.f64 c b) a) (/.f64 c b) c) (neg.f64 b))) (patch #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (*.f64 (/.f64 c b) a) (/.f64 c b) c) (neg.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) (taylor 0 c) (#s(alt #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (*.f64 (/.f64 c b) a) (/.f64 c b) c) (neg.f64 b))) (patch #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (*.f64 (/.f64 c b) a) (/.f64 c b) c) (neg.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (*.f64 (/.f64 c b) a) (/.f64 c b) c) (neg.f64 b))) (patch #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (*.f64 (/.f64 c b) a) (/.f64 c b) c) (neg.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ c b)) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (*.f64 (/.f64 c b) a) (/.f64 c b) c) (neg.f64 b)) (patch (/.f64 (fma.f64 (*.f64 (/.f64 c b) a) (/.f64 c b) c) (neg.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (*.f64 (/.f64 c b) a) (/.f64 c b) c) (neg.f64 b)) (patch (/.f64 (fma.f64 (*.f64 (/.f64 c b) a) (/.f64 c b) c) (neg.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (*.f64 (/.f64 c b) a) (/.f64 c b) c) (neg.f64 b)) (patch (/.f64 (fma.f64 (*.f64 (/.f64 c b) a) (/.f64 c b) c) (neg.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) (taylor 0 c) (#s(alt (/.f64 (fma.f64 (*.f64 (/.f64 c b) a) (/.f64 c b) c) (neg.f64 b)) (patch (/.f64 (fma.f64 (*.f64 (/.f64 c b) a) (/.f64 c b) c) (neg.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt c (taylor 0 c) (#s(alt (fma.f64 (*.f64 (/.f64 c b) a) (/.f64 c b) c) (patch (fma.f64 (*.f64 (/.f64 c b) a) (/.f64 c b) c) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ 1 (/ (* a c) (pow b 2)))) (taylor 0 c) (#s(alt (fma.f64 (*.f64 (/.f64 c b) a) (/.f64 c b) c) (patch (fma.f64 (*.f64 (/.f64 c b) a) (/.f64 c b) c) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ 1 (/ (* a c) (pow b 2)))) (taylor 0 c) (#s(alt (fma.f64 (*.f64 (/.f64 c b) a) (/.f64 c b) c) (patch (fma.f64 (*.f64 (/.f64 c b) a) (/.f64 c b) c) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ 1 (/ (* a c) (pow b 2)))) (taylor 0 c) (#s(alt (fma.f64 (*.f64 (/.f64 c b) a) (/.f64 c b) c) (patch (fma.f64 (*.f64 (/.f64 c b) a) (/.f64 c b) c) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) b) (taylor 0 c) (#s(alt (*.f64 (/.f64 c b) a) (patch (*.f64 (/.f64 c b) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) b) (taylor 0 c) (#s(alt (*.f64 (/.f64 c b) a) (patch (*.f64 (/.f64 c b) a) #<representation binary64>) () ())) ()) |
#s(alt (/ (* a c) b) (taylor 0 c) (#s(alt (*.f64 (/.f64 c b) a) (patch (*.f64 (/.f64 c b) a) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) #<representation binary64>) () ())) ()) |
#s(alt (* -4 (* a c)) (taylor -inf a) (#s(alt (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (taylor -inf a) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))) (taylor -inf a) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))) (taylor -inf a) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ a (pow c 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1/256 (/ (* a (pow b 4)) (pow c 3))) (* 1/256 (/ (pow b 6) (pow c 4))))))) (pow a 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))) (taylor -inf a) (#s(alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (patch (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1/4 (* a c)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))) a)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1/64 (/ (pow b 4) (* a (pow c 3)))) (* 1/16 (/ (pow b 2) (pow c 2)))) a)) (* 1/4 (/ 1 c))) a)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow b 6) (* a (pow c 4)))) (* -1/64 (/ (pow b 4) (pow c 3)))) a)) (* 1/16 (/ (pow b 2) (pow c 2)))) a)) (* 1/4 (/ 1 c))) a)) (taylor -inf a) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | a | @ | -inf | ((/ (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (* 2 a)) (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (neg b) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ c (neg b)) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (/ c b) (/ b a)) (/ c b) (/ b a) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (+ (* (* (/ c b) a) (/ c b)) c) (neg b)) (+ (* (* (/ c b) a) (/ c b)) c) (* (/ c b) a) (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))))) (* 2 a)) (- (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))))) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b))))) (+ (* (* -4 c) a) (* b b)) (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))) (/ 1 (+ (* -4 (* c a)) (* b b)))) |
| 8.0ms | b | @ | 0 | ((/ (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (* 2 a)) (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (neg b) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ c (neg b)) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (/ c b) (/ b a)) (/ c b) (/ b a) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (+ (* (* (/ c b) a) (/ c b)) c) (neg b)) (+ (* (* (/ c b) a) (/ c b)) c) (* (/ c b) a) (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))))) (* 2 a)) (- (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))))) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b))))) (+ (* (* -4 c) a) (* b b)) (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))) (/ 1 (+ (* -4 (* c a)) (* b b)))) |
| 5.0ms | c | @ | 0 | ((/ (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (* 2 a)) (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (neg b) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ c (neg b)) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (/ c b) (/ b a)) (/ c b) (/ b a) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (+ (* (* (/ c b) a) (/ c b)) c) (neg b)) (+ (* (* (/ c b) a) (/ c b)) c) (* (/ c b) a) (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))))) (* 2 a)) (- (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))))) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b))))) (+ (* (* -4 c) a) (* b b)) (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))) (/ 1 (+ (* -4 (* c a)) (* b b)))) |
| 4.0ms | c | @ | inf | ((/ (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (* 2 a)) (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (neg b) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ c (neg b)) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (/ c b) (/ b a)) (/ c b) (/ b a) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (+ (* (* (/ c b) a) (/ c b)) c) (neg b)) (+ (* (* (/ c b) a) (/ c b)) c) (* (/ c b) a) (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))))) (* 2 a)) (- (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))))) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b))))) (+ (* (* -4 c) a) (* b b)) (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))) (/ 1 (+ (* -4 (* c a)) (* b b)))) |
| 4.0ms | c | @ | -inf | ((/ (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (* 2 a)) (- (neg b) (sqrt (+ (* (* -4 c) a) (* b b)))) (neg b) (sqrt (+ (* (* -4 c) a) (* b b))) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ c (neg b)) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (/ c b) (/ b a)) (/ c b) (/ b a) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (+ (* (* (/ c b) a) (/ c b)) c) (neg b)) (+ (* (* (/ c b) a) (/ c b)) c) (* (/ c b) a) (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))))) (* 2 a)) (- (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))))) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b))))) (+ (* (* -4 c) a) (* b b)) (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))) (/ 1 (+ (* -4 (* c a)) (* b b)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 952 | 12292 |
| 1 | 3045 | 12122 |
| 0 | 8750 | 11592 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b)) |
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b)) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(* -1 (/ b a)) |
(- (/ c b) (/ b a)) |
(- (/ c b) (/ b a)) |
(- (/ c b) (/ b a)) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(* -1 (/ c b)) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
c |
(* c (+ 1 (/ (* a c) (pow b 2)))) |
(* c (+ 1 (/ (* a c) (pow b 2)))) |
(* c (+ 1 (/ (* a c) (pow b 2)))) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b)) |
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b)) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(/ 1 b) |
(+ (* 2 (/ (* a c) (pow b 3))) (/ 1 b)) |
(+ (* c (+ (* -1/2 (* b (* c (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))))) (* 2 (/ a (pow b 3))))) (/ 1 b)) |
(+ (* c (+ (* 2 (/ a (pow b 3))) (* c (+ (* -1/2 (* b (* c (+ (* -64 (/ (pow a 3) (pow b 8))) (* -2 (/ (* a (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) (pow b 2))))))) (* -1/2 (* b (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6)))))))))) (/ 1 b)) |
(/ 1 (pow b 2)) |
(+ (* 4 (/ (* a c) (pow b 4))) (/ 1 (pow b 2))) |
(+ (* c (- (* 16 (/ (* (pow a 2) c) (pow b 6))) (* -4 (/ a (pow b 4))))) (/ 1 (pow b 2))) |
(+ (* c (- (* c (- (* 64 (/ (* (pow a 3) c) (pow b 8))) (* -16 (/ (pow a 2) (pow b 6))))) (* -4 (/ a (pow b 4))))) (/ 1 (pow b 2))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))) |
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(/ c b) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c)))) |
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c)))) |
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c)))) |
(/ (* a (pow c 2)) (pow b 2)) |
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2)))) |
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2)))) |
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2)))) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))) |
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* -4 (* a c)) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* (sqrt (/ 1 (* a c))) (sqrt -1/4)) |
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))) |
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))) |
(+ (* -1/2 (* (sqrt (/ a (pow c 7))) (/ (+ (* 1/1024 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow a 4)))) (sqrt -1/4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))))) |
(/ -1/4 (* a c)) |
(/ (- (* -1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))) c) |
(/ (- (* -1/64 (/ (pow b 4) (* (pow a 3) (pow c 2)))) (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a)))) c) |
(/ (- (* -1/256 (/ (pow b 6) (* (pow a 4) (pow c 3)))) (+ (* 1/64 (/ (pow b 4) (* (pow a 3) (pow c 2)))) (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))))) c) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(/ c b) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c)))) |
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c)))) |
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c)))) |
(/ (* a (pow c 2)) (pow b 2)) |
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2)))) |
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2)))) |
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2)))) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* -4 (* a c)) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) |
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))) |
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ c (pow a 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1/256 (/ (* (pow b 4) c) (pow a 3))) (* 1/256 (/ (pow b 6) (pow a 4))))))) (pow c 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(/ -1/4 (* a c)) |
(* -1 (/ (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1/64 (/ (pow b 4) (* (pow a 3) c))) (* 1/16 (/ (pow b 2) (pow a 2)))) c)) (* 1/4 (/ 1 a))) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow b 6) (* (pow a 4) c))) (* -1/64 (/ (pow b 4) (pow a 3)))) c)) (* 1/16 (/ (pow b 2) (pow a 2)))) c)) (* 1/4 (/ 1 a))) c)) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(/ c b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 3)) |
(/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 3)) |
(/ (+ (* -1 (* a (pow c 2))) (* -1 (* (pow b 2) c))) (pow b 3)) |
(/ (* a (pow c 2)) (pow b 2)) |
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 2)) |
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 2)) |
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 2)) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(* -4 (* a c)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* (sqrt (/ 1 (* a c))) (sqrt -1/4)) |
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))) |
(+ (* (sqrt (/ 1 (* a c))) (sqrt -1/4)) (* (pow b 2) (+ (* -1/2 (* (sqrt (* a c)) (/ (* (pow b 2) (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3)))))) (sqrt -1/4)))) (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1/4))))))) |
(+ (* (sqrt (/ 1 (* a c))) (sqrt -1/4)) (* (pow b 2) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1/4)))) (* (pow b 2) (+ (* -1/2 (* (sqrt (* a c)) (/ (* (pow b 2) (+ (* 1/32 (/ (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3))))) (* a (* c (pow (sqrt -1/4) 2))))) (* 1/256 (/ 1 (* (pow a 4) (pow c 4)))))) (sqrt -1/4)))) (* -1/2 (* (sqrt (* a c)) (/ (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3))))) (sqrt -1/4))))))))) |
(/ -1/4 (* a c)) |
(- (* -1/16 (/ (pow b 2) (* (pow a 2) (pow c 2)))) (* 1/4 (/ 1 (* a c)))) |
(- (* (pow b 2) (- (* -1/64 (/ (pow b 2) (* (pow a 3) (pow c 3)))) (* 1/16 (/ 1 (* (pow a 2) (pow c 2)))))) (* 1/4 (/ 1 (* a c)))) |
(- (* (pow b 2) (- (* (pow b 2) (- (* -1/256 (/ (pow b 2) (* (pow a 4) (pow c 4)))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3)))))) (* 1/16 (/ 1 (* (pow a 2) (pow c 2)))))) (* 1/4 (/ 1 (* a c)))) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(* -2 b) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(* -1 (/ c b)) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
c |
(+ c (/ (* a (pow c 2)) (pow b 2))) |
(+ c (/ (* a (pow c 2)) (pow b 2))) |
(+ c (/ (* a (pow c 2)) (pow b 2))) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(* -2 b) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(/ 1 b) |
(/ (+ 1 (* 2 (/ (* a c) (pow b 2)))) b) |
(/ (+ 1 (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2))))) b) |
(/ (+ 1 (+ (* -1/2 (/ (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))))) b) |
(/ 1 (pow b 2)) |
(/ (+ 1 (* 4 (/ (* a c) (pow b 2)))) (pow b 2)) |
(/ (- (+ 1 (* 16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -4 (/ (* a c) (pow b 2)))) (pow b 2)) |
(/ (- (+ 1 (* 64 (/ (* (pow a 3) (pow c 3)) (pow b 6)))) (+ (* -16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -4 (/ (* a c) (pow b 2))))) (pow b 2)) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -2 (/ (* a c) b)) |
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)) |
(* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
c |
(+ c (/ (* a (pow c 2)) (pow b 2))) |
(+ c (/ (* a (pow c 2)) (pow b 2))) |
(+ c (/ (* a (pow c 2)) (pow b 2))) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -2 (/ (* a c) b)) |
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)) |
(* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)) |
(* -1 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(/ -1 b) |
(* -1 (/ (+ 1 (* 2 (/ (* a c) (pow b 2)))) b)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2))))) b)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))))) b)) |
(/ 1 (pow b 2)) |
(/ (+ 1 (* 4 (/ (* a c) (pow b 2)))) (pow b 2)) |
(/ (- (+ 1 (* 16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -4 (/ (* a c) (pow b 2)))) (pow b 2)) |
(/ (- (+ 1 (* 64 (/ (* (pow a 3) (pow c 3)) (pow b 6)))) (+ (* -16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -4 (/ (* a c) (pow b 2))))) (pow b 2)) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b)) |
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b)) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(* -1 (/ b a)) |
(/ (- (/ (* a c) b) b) a) |
(/ (- (/ (* a c) b) b) a) |
(/ (- (/ (* a c) b) b) a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
c |
(+ c (/ (* a (pow c 2)) (pow b 2))) |
(+ c (/ (* a (pow c 2)) (pow b 2))) |
(+ c (/ (* a (pow c 2)) (pow b 2))) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b)) |
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b)) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(/ 1 b) |
(+ (* 2 (/ (* a c) (pow b 3))) (/ 1 b)) |
(+ (* a (+ (* -1/2 (* a (* b (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))))) (* 2 (/ c (pow b 3))))) (/ 1 b)) |
(+ (* a (+ (* 2 (/ c (pow b 3))) (* a (+ (* -1/2 (* a (* b (+ (* -64 (/ (pow c 3) (pow b 8))) (* -2 (/ (* c (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))) (pow b 2))))))) (* -1/2 (* b (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6)))))))))) (/ 1 b)) |
(/ 1 (pow b 2)) |
(+ (* 4 (/ (* a c) (pow b 4))) (/ 1 (pow b 2))) |
(+ (* a (- (* 16 (/ (* a (pow c 2)) (pow b 6))) (* -4 (/ c (pow b 4))))) (/ 1 (pow b 2))) |
(+ (* a (- (* a (- (* 64 (/ (* a (pow c 3)) (pow b 8))) (* -16 (/ (pow c 2) (pow b 6))))) (* -4 (/ c (pow b 4))))) (/ 1 (pow b 2))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) |
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(/ c b) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3))))) |
(* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3))))) |
(* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3))))) |
(/ (* a (pow c 2)) (pow b 2)) |
(* a (+ (/ c a) (/ (pow c 2) (pow b 2)))) |
(* a (+ (/ c a) (/ (pow c 2) (pow b 2)))) |
(* a (+ (/ c a) (/ (pow c 2) (pow b 2)))) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) |
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -4 (* a c)) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* (sqrt (/ 1 (* a c))) (sqrt -1/4)) |
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))) |
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))) |
(+ (* -1/2 (* (sqrt (/ c (pow a 7))) (/ (+ (* 1/1024 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow c 4)))) (sqrt -1/4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))))) |
(/ -1/4 (* a c)) |
(/ (- (* -1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))) a) |
(/ (- (* -1/64 (/ (pow b 4) (* (pow a 2) (pow c 3)))) (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c)))) a) |
(/ (- (* -1/256 (/ (pow b 6) (* (pow a 3) (pow c 4)))) (+ (* 1/64 (/ (pow b 4) (* (pow a 2) (pow c 3)))) (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))))) a) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(/ c b) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(* -1 (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))))) |
(* -1 (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))))) |
(* -1 (* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))))) |
(/ (* a (pow c 2)) (pow b 2)) |
(* -1 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2)))))) |
(* -1 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2)))))) |
(* -1 (* a (+ (* -1 (/ c a)) (* -1 (/ (pow c 2) (pow b 2)))))) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(/ (* a c) b) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(* -4 (* a c)) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) |
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))) |
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ a (pow c 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1/256 (/ (* a (pow b 4)) (pow c 3))) (* 1/256 (/ (pow b 6) (pow c 4))))))) (pow a 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(/ -1/4 (* a c)) |
(* -1 (/ (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))) a)) |
(* -1 (/ (+ (* -1 (/ (- (* -1/64 (/ (pow b 4) (* a (pow c 3)))) (* 1/16 (/ (pow b 2) (pow c 2)))) a)) (* 1/4 (/ 1 c))) a)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow b 6) (* a (pow c 4)))) (* -1/64 (/ (pow b 4) (pow c 3)))) a)) (* 1/16 (/ (pow b 2) (pow c 2)))) a)) (* 1/4 (/ 1 c))) a)) |
| Outputs |
|---|
(* -1 (/ b a)) |
(/.f64 (neg.f64 b) a) |
(+ (* -1 (/ b a)) (/ c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(fma.f64 (fma.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a)) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a)) |
(* -2 b) |
(*.f64 #s(literal -2 binary64) b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))) |
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b)) |
(fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 a b))) c (*.f64 #s(literal -2 binary64) b)) |
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64))) c (*.f64 (/.f64 a b) #s(literal 2 binary64))) c (*.f64 #s(literal -2 binary64) b)) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 a b))) c b) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c b) |
(* -1 (/ b a)) |
(/.f64 (neg.f64 b) a) |
(+ (* -1 (/ b a)) (/ c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(fma.f64 (fma.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a)) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a)) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* -1 (/ b a)) |
(/.f64 (neg.f64 b) a) |
(+ (* -1 (/ b a)) (/ c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(fma.f64 (fma.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a)) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a)) |
(* -1 (/ b a)) |
(/.f64 (neg.f64 b) a) |
(- (/ c b) (/ b a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(- (/ c b) (/ b a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(- (/ c b) (/ b a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(* -1 (/ b a)) |
(/.f64 (neg.f64 b) a) |
(+ (* -1 (/ b a)) (/ c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(fma.f64 (fma.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a)) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a)) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(*.f64 (fma.f64 (neg.f64 a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) b)) c) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(*.f64 (fma.f64 (neg.f64 a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) b)) c) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(*.f64 (fma.f64 (neg.f64 a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) b)) c) |
c |
(* c (+ 1 (/ (* a c) (pow b 2)))) |
(*.f64 (fma.f64 (/.f64 a b) (/.f64 c b) #s(literal 1 binary64)) c) |
(* c (+ 1 (/ (* a c) (pow b 2)))) |
(*.f64 (fma.f64 (/.f64 a b) (/.f64 c b) #s(literal 1 binary64)) c) |
(* c (+ 1 (/ (* a c) (pow b 2)))) |
(*.f64 (fma.f64 (/.f64 a b) (/.f64 c b) #s(literal 1 binary64)) c) |
(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
(* -1 (/ b a)) |
(/.f64 (neg.f64 b) a) |
(+ (* -1 (/ b a)) (/ c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(fma.f64 (fma.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a)) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a)) |
(* -2 b) |
(*.f64 #s(literal -2 binary64) b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))) |
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b)) |
(fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 a b))) c (*.f64 #s(literal -2 binary64) b)) |
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64))) c (*.f64 (/.f64 a b) #s(literal 2 binary64))) c (*.f64 #s(literal -2 binary64) b)) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 a b))) c b) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c b) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(/ 1 b) |
(/.f64 #s(literal 1 binary64) b) |
(+ (* 2 (/ (* a c) (pow b 3))) (/ 1 b)) |
(fma.f64 a (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) b)) |
(+ (* c (+ (* -1/2 (* b (* c (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))))) (* 2 (/ a (pow b 3))))) (/ 1 b)) |
(fma.f64 (fma.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal -12 binary64) b)) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64))) c (/.f64 #s(literal 1 binary64) b)) |
(+ (* c (+ (* 2 (/ a (pow b 3))) (* c (+ (* -1/2 (* b (* c (+ (* -64 (/ (pow a 3) (pow b 8))) (* -2 (/ (* a (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) (pow b 2))))))) (* -1/2 (* b (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6)))))))))) (/ 1 b)) |
(fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) b) (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 6 binary64))) #s(literal -12 binary64) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal -12 binary64) a)) (*.f64 b b)) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -64 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 8 binary64)))) c))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64))) c (/.f64 #s(literal 1 binary64) b)) |
(/ 1 (pow b 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 b b)) |
(+ (* 4 (/ (* a c) (pow b 4))) (/ 1 (pow b 2))) |
(fma.f64 (*.f64 #s(literal 4 binary64) a) (/.f64 c (pow.f64 b #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 b b))) |
(+ (* c (- (* 16 (/ (* (pow a 2) c) (pow b 6))) (* -4 (/ a (pow b 4))))) (/ 1 (pow b 2))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 16 binary64) (*.f64 a a)) (/.f64 c (pow.f64 b #s(literal 6 binary64))) (*.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) #s(literal 4 binary64))) c (/.f64 #s(literal 1 binary64) (*.f64 b b))) |
(+ (* c (- (* c (- (* 64 (/ (* (pow a 3) c) (pow b 8))) (* -16 (/ (pow a 2) (pow b 6))))) (* -4 (/ a (pow b 4))))) (/ 1 (pow b 2))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 64 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 8 binary64))) (*.f64 #s(literal 16 binary64) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 6 binary64))))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) #s(literal 4 binary64))) c (/.f64 #s(literal 1 binary64) (*.f64 b b))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(*.f64 (*.f64 c #s(literal -1/2 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (/.f64 b a) c))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/4 binary64) (*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (/.f64 b a) c)))) c) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (/.f64 b a) c)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64))))))) c) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (*.f64 c a))) |
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(*.f64 (neg.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b c))) c) |
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))) |
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(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) |
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(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
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(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
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(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
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(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
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(/.f64 (neg.f64 c) b) |
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(/.f64 (neg.f64 c) b) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))) |
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(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
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(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
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(/ c b) |
(/.f64 c b) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 b a) c)) c) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
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(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
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(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
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(/ c b) |
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(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))) |
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(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
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(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
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(* -1 (/ (* a (pow c 2)) (pow b 3))) |
(*.f64 (neg.f64 a) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64)))) |
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c)))) |
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(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c)))) |
(*.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) b) c)) (*.f64 c c)) |
(* (pow c 2) (- (* -1 (/ a (pow b 3))) (/ 1 (* b c)))) |
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(/ (* a (pow c 2)) (pow b 2)) |
(*.f64 (/.f64 (*.f64 c c) b) (/.f64 a b)) |
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2)))) |
(*.f64 (+.f64 (/.f64 a (*.f64 b b)) (/.f64 #s(literal 1 binary64) c)) (*.f64 c c)) |
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2)))) |
(*.f64 (+.f64 (/.f64 a (*.f64 b b)) (/.f64 #s(literal 1 binary64) c)) (*.f64 c c)) |
(* (pow c 2) (+ (/ 1 c) (/ a (pow b 2)))) |
(*.f64 (+.f64 (/.f64 a (*.f64 b b)) (/.f64 #s(literal 1 binary64) c)) (*.f64 c c)) |
(/ (* a c) b) |
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(/ (* a c) b) |
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(/ (* a c) b) |
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(/ (* a c) b) |
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(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
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(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/4 binary64) (*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (/.f64 b a) c)))) c) |
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(* -1 (* (sqrt (* a c)) (sqrt -4))) |
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(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))) |
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(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
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(* -4 (* a c)) |
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(* (sqrt (/ 1 (* a c))) (sqrt -1/4)) |
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(* (sqrt (/ c a)) (sqrt -1)) |
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(/ c b) |
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(/ b a) |
(/.f64 b a) |
(/ b a) |
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(/ b a) |
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(/ b a) |
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(*.f64 (neg.f64 a) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 b b)) #s(literal 1/4 binary64) (neg.f64 b)) a) #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a))))) |
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (neg.f64 a) (fma.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (*.f64 b b)) #s(literal -1/4 binary64))) (neg.f64 a)) b) a) #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64))))))) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(*.f64 (neg.f64 a) (fma.f64 #s(literal 4 binary64) c (/.f64 (*.f64 (neg.f64 b) b) a))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(*.f64 (neg.f64 a) (fma.f64 #s(literal 4 binary64) c (/.f64 (*.f64 (neg.f64 b) b) a))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(*.f64 (neg.f64 a) (fma.f64 #s(literal 4 binary64) c (/.f64 (*.f64 (neg.f64 b) b) a))) |
(* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) |
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))) |
(fma.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/16 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))))) |
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(fma.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64))))) #s(literal -1/64 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))))) |
(+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ a (pow c 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1/256 (/ (* a (pow b 4)) (pow c 3))) (* 1/256 (/ (pow b 6) (pow c 4))))))) (pow a 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(fma.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 a (pow.f64 c #s(literal 5 binary64)))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/64 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/256 binary64) a) (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 c #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 1/256 binary64) (pow.f64 b #s(literal 6 binary64))) (pow.f64 c #s(literal 4 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)))) (neg.f64 (pow.f64 a #s(literal 3 binary64)))))) |
(/ -1/4 (* a c)) |
(/.f64 #s(literal -1/4 binary64) (*.f64 c a)) |
(* -1 (/ (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))) a)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 c c)) (/.f64 (*.f64 b b) a) (/.f64 #s(literal 1/4 binary64) c)) (neg.f64 a)) |
(* -1 (/ (+ (* -1 (/ (- (* -1/64 (/ (pow b 4) (* a (pow c 3)))) (* 1/16 (/ (pow b 2) (pow c 2)))) a)) (* 1/4 (/ 1 c))) a)) |
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) c) (/.f64 (fma.f64 (/.f64 #s(literal -1/64 binary64) (pow.f64 c #s(literal 3 binary64))) (/.f64 (pow.f64 b #s(literal 4 binary64)) a) (*.f64 (*.f64 (/.f64 b c) (/.f64 b c)) #s(literal -1/16 binary64))) a)) (neg.f64 a)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow b 6) (* a (pow c 4)))) (* -1/64 (/ (pow b 4) (pow c 3)))) a)) (* 1/16 (/ (pow b 2) (pow c 2)))) a)) (* 1/4 (/ 1 c))) a)) |
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) c) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 c #s(literal 4 binary64))) (/.f64 (pow.f64 b #s(literal 6 binary64)) a) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 c #s(literal 3 binary64))) #s(literal 1/64 binary64))) a) #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 b c) (/.f64 b c)) #s(literal -1/16 binary64))) a)) (neg.f64 a)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 41 | 240 |
| 0 | 66 | 225 |
| 1 | 279 | 216 |
| 2 | 1984 | 216 |
| 0 | 8165 | 213 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) |
(neg.f64 b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) |
(/.f64 c (neg.f64 b)) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 c b) |
(/.f64 b a) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (*.f64 (/.f64 c b) a) (/.f64 c b) c) (neg.f64 b))) |
(/.f64 (fma.f64 (*.f64 (/.f64 c b) a) (/.f64 c b) c) (neg.f64 b)) |
(fma.f64 (*.f64 (/.f64 c b) a) (/.f64 c b) c) |
(*.f64 (/.f64 c b) a) |
(/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) |
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) |
| Outputs |
|---|
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Compiled 43 331 to 4 557 computations (89.5% saved)
20 alts after pruning (16 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 738 | 9 | 1 747 |
| Fresh | 3 | 7 | 10 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 742 | 20 | 1 762 |
| Status | Accuracy | Program |
|---|---|---|
| 26.9% | (/.f64 (fma.f64 b b (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a))) | |
| 38.9% | (/.f64 (-.f64 (*.f64 (*.f64 b #s(literal -1/2 binary64)) a) (*.f64 a (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) #s(literal 1/2 binary64)))) (*.f64 a a)) | |
| ▶ | 48.9% | (/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) |
| 35.0% | (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* -4 (* c a)) (* b b))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a)))))) (*.f64 #s(literal 2 binary64) a)) | |
| ✓ | 58.6% | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
| 36.8% | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a)) | |
| ▶ | 9.4% | (/.f64 (-.f64 (neg.f64 b) #s(approx (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b))))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) |
| ▶ | 58.6% | (/.f64 (+.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) |
| 27.1% | (/.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) | |
| ▶ | 36.5% | (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))) |
| 36.5% | (*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) | |
| 39.6% | #s(approx (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))))) (* 2 a)) (/.f64 (neg.f64 b) a)) | |
| ✓ | 31.9% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (*.f64 (/.f64 c b) a) (/.f64 c b) c) (neg.f64 b))) |
| 22.5% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)))) | |
| ✓ | 32.1% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) |
| 31.4% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c))) | |
| ✓ | 39.6% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
| 32.0% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) | |
| 17.5% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 b) c)) #s(literal -1 binary64)))) | |
| ▶ | 9.3% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (- (/ c b) (/ b a)) (/.f64 c b))) |
Compiled 503 to 399 computations (20.7% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) | |
| cost-diff | 0 | (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) | |
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | (-.f64 (neg.f64 b) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) | |
| cost-diff | 0 | (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) | |
| cost-diff | 0 | (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) | |
| cost-diff | 384 | (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))) | |
| cost-diff | 0 | #s(approx (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b))))) (neg.f64 b)) | |
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | (-.f64 (neg.f64 b) #s(approx (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b))))) (neg.f64 b))) | |
| cost-diff | 128 | (/.f64 (-.f64 (neg.f64 b) #s(approx (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b))))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) | |
| cost-diff | 0 | (/.f64 c b) | |
| cost-diff | 0 | #s(approx (- (/ c b) (/ b a)) (/.f64 c b)) | |
| cost-diff | 0 | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (- (/ c b) (/ b a)) (/.f64 c b))) | |
| cost-diff | 0 | (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) | |
| cost-diff | 0 | (+.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) | |
| cost-diff | 0 | (/.f64 (+.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 332 |
| 0 | 74 | 331 |
| 1 | 132 | 331 |
| 2 | 248 | 331 |
| 3 | 589 | 328 |
| 4 | 1535 | 328 |
| 5 | 4974 | 328 |
| 0 | 8305 | 328 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) |
(+.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) |
b |
(sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) |
(fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) |
(*.f64 a c) |
a |
c |
#s(literal -4 binary64) |
(*.f64 b b) |
(*.f64 #s(literal -2 binary64) a) |
#s(literal -2 binary64) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (- (/ c b) (/ b a)) (/.f64 c b))) |
#s(approx (- (/ c b) (/ b a)) (/.f64 c b)) |
(/.f64 c b) |
c |
b |
(/.f64 (-.f64 (neg.f64 b) #s(approx (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b))))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (neg.f64 b) #s(approx (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b))))) (neg.f64 b))) |
(neg.f64 b) |
b |
#s(approx (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b))))) (neg.f64 b)) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
a |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))) |
#s(literal 1/2 binary64) |
(/.f64 a (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) |
a |
(-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) |
b |
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
#s(literal -4 binary64) |
(*.f64 c a) |
c |
(*.f64 b b) |
(/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (neg.f64 b) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) |
(neg.f64 b) |
b |
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
#s(literal -4 binary64) |
(*.f64 c a) |
c |
a |
(*.f64 b b) |
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
| Outputs |
|---|
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) |
(+.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) |
b |
(sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) |
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) |
(fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) |
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) |
(*.f64 a c) |
(*.f64 c a) |
a |
c |
#s(literal -4 binary64) |
(*.f64 b b) |
(*.f64 #s(literal -2 binary64) a) |
#s(literal -2 binary64) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (- (/ c b) (/ b a)) (/.f64 c b))) |
#s(approx (- (/ c b) (/ b a)) (/.f64 c b)) |
(/.f64 c b) |
c |
b |
(/.f64 (-.f64 (neg.f64 b) #s(approx (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b))))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 #s(approx (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b))))) (neg.f64 b)) b)) |
(-.f64 (neg.f64 b) #s(approx (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b))))) (neg.f64 b))) |
(neg.f64 b) |
b |
#s(approx (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b))))) (neg.f64 b)) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
a |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) |
#s(literal 1/2 binary64) |
(/.f64 a (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) |
(/.f64 a (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))) |
a |
(-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) |
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) |
b |
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) |
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) |
#s(literal -4 binary64) |
(*.f64 c a) |
c |
(*.f64 b b) |
(/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 (+.f64 (/.f64 (fma.f64 b (/.f64 b a) (*.f64 #s(literal -4 binary64) c)) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (/.f64 b a)) #s(literal -1/2 binary64)) |
(-.f64 (neg.f64 b) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) |
(-.f64 (neg.f64 b) (/.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))) |
(neg.f64 b) |
b |
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) |
(/.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) |
#s(literal -4 binary64) |
(*.f64 c a) |
c |
a |
(*.f64 b b) |
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) |
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 2.50102475416605 | (/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) | |
| accuracy | 12.610216129111473 | (-.f64 (neg.f64 b) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) | |
| accuracy | 22.4939934248599 | (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) | |
| accuracy | 22.63852467275795 | (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) | |
| accuracy | 0.5535251638111609 | (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))) | |
| accuracy | 4.765086296403628 | (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) | |
| accuracy | 13.918061324577476 | (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) | |
| accuracy | 22.4939934248599 | (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) | |
| accuracy | 0 | (neg.f64 b) | |
| accuracy | 2.50102475416605 | (/.f64 (-.f64 (neg.f64 b) #s(approx (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b))))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) | |
| accuracy | 12.610216129111473 | (-.f64 (neg.f64 b) #s(approx (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b))))) (neg.f64 b))) | |
| accuracy | 43.87577861238482 | #s(approx (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b))))) (neg.f64 b)) | |
| accuracy | 0 | (/.f64 c b) | |
| accuracy | 38.68374818738103 | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (- (/ c b) (/ b a)) (/.f64 c b))) | |
| accuracy | 42.17805476964964 | #s(approx (- (/ c b) (/ b a)) (/.f64 c b)) | |
| accuracy | 0.20931625976844204 | (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) | |
| accuracy | 2.50102475416605 | (/.f64 (+.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) | |
| accuracy | 12.610216129111473 | (+.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) | |
| accuracy | 22.4939934248599 | (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) |
| 53.0ms | 71× | 2 | valid |
| 50.0ms | 85× | 0 | valid |
| 45.0ms | 80× | 1 | valid |
| 17.0ms | 20× | 3 | valid |
Compiled 591 to 75 computations (87.3% saved)
ival-div: 44.0ms (34.1% of total)ival-add: 29.0ms (22.5% of total)adjust: 16.0ms (12.4% of total)ival-sqrt: 13.0ms (10.1% of total)ival-sub: 12.0ms (9.3% of total)ival-mult: 12.0ms (9.3% of total)exact: 1.0ms (0.8% of total)ival-neg: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (+.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) (patch (/.f64 (+.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) #<representation binary64>) () ()) |
#s(alt (+.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (patch (+.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) (patch (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (- (/ c b) (/ b a)) (/.f64 c b))) (patch #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (- (/ c b) (/ b a)) (/.f64 c b))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ c b) (/ b a)) (/.f64 c b)) (patch #s(approx (- (/ c b) (/ b a)) (/.f64 c b)) #<representation binary64>) () ()) |
#s(alt (/.f64 c b) (patch (/.f64 c b) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (neg.f64 b) #s(approx (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b))))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) #s(approx (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b))))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ()) |
#s(alt (-.f64 (neg.f64 b) #s(approx (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b))))) (neg.f64 b))) (patch (-.f64 (neg.f64 b) #s(approx (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b))))) (neg.f64 b))) #<representation binary64>) () ()) |
#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b))))) (neg.f64 b)) (patch #s(approx (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b))))) (neg.f64 b)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))) #<representation binary64>) () ()) |
#s(alt (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (patch (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) #<representation binary64>) () ()) |
#s(alt (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) #<representation binary64>) () ()) |
#s(alt (-.f64 (neg.f64 b) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (patch (-.f64 (neg.f64 b) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (patch (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (patch (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (/ b a)) (taylor 0 c) (#s(alt (/.f64 (+.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) (patch (/.f64 (+.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ b a)) (/ c b)) (taylor 0 c) (#s(alt (/.f64 (+.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) (patch (/.f64 (+.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) (taylor 0 c) (#s(alt (/.f64 (+.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) (patch (/.f64 (+.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (+.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) (patch (/.f64 (+.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 b) (taylor 0 c) (#s(alt (+.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (patch (+.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -2 (/ (* a c) b)) (* 2 b)) (taylor 0 c) (#s(alt (+.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (patch (+.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) (taylor 0 c) (#s(alt (+.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (patch (+.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) (taylor 0 c) (#s(alt (+.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (patch (+.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt b (taylor 0 c) (#s(alt (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (+ b (* -2 (/ (* a c) b))) (taylor 0 c) (#s(alt (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) (taylor 0 c) (#s(alt (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) (taylor 0 c) (#s(alt (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (pow b 2) (taylor 0 c) (#s(alt (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) (patch (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) (patch (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) (patch (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) (patch (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ b a)) (taylor 0 c) (#s(alt #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (- (/ c b) (/ b a)) (/.f64 c b))) (patch #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (- (/ c b) (/ b a)) (/.f64 c b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ b a)) (/ c b)) (taylor 0 c) (#s(alt #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (- (/ c b) (/ b a)) (/.f64 c b))) (patch #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (- (/ c b) (/ b a)) (/.f64 c b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) (taylor 0 c) (#s(alt #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (- (/ c b) (/ b a)) (/.f64 c b))) (patch #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (- (/ c b) (/ b a)) (/.f64 c b))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) (taylor 0 c) (#s(alt #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (- (/ c b) (/ b a)) (/.f64 c b))) (patch #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (- (/ c b) (/ b a)) (/.f64 c b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ b a)) (taylor 0 c) (#s(alt #s(approx (- (/ c b) (/ b a)) (/.f64 c b)) (patch #s(approx (- (/ c b) (/ b a)) (/.f64 c b)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ c b) (/ b a)) (taylor 0 c) (#s(alt #s(approx (- (/ c b) (/ b a)) (/.f64 c b)) (patch #s(approx (- (/ c b) (/ b a)) (/.f64 c b)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ c b) (/ b a)) (taylor 0 c) (#s(alt #s(approx (- (/ c b) (/ b a)) (/.f64 c b)) (patch #s(approx (- (/ c b) (/ b a)) (/.f64 c b)) #<representation binary64>) () ())) ()) |
#s(alt (- (/ c b) (/ b a)) (taylor 0 c) (#s(alt #s(approx (- (/ c b) (/ b a)) (/.f64 c b)) (patch #s(approx (- (/ c b) (/ b a)) (/.f64 c b)) #<representation binary64>) () ())) ()) |
#s(alt (/ c b) (taylor 0 c) (#s(alt (/.f64 c b) (patch (/.f64 c b) #<representation binary64>) () ())) ()) |
#s(alt (/ c b) (taylor 0 c) (#s(alt (/.f64 c b) (patch (/.f64 c b) #<representation binary64>) () ())) ()) |
#s(alt (/ c b) (taylor 0 c) (#s(alt (/.f64 c b) (patch (/.f64 c b) #<representation binary64>) () ())) ()) |
#s(alt (/ c b) (taylor 0 c) (#s(alt (/.f64 c b) (patch (/.f64 c b) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* a (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) (taylor -inf a) (#s(alt (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (patch (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) (taylor -inf a) (#s(alt (/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) (taylor -inf a) (#s(alt (/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | c | @ | inf | ((/ (+ b (sqrt (+ (* (* a c) -4) (* b b)))) (* -2 a)) (+ b (sqrt (+ (* (* a c) -4) (* b b)))) (sqrt (+ (* (* a c) -4) (* b b))) (+ (* (* a c) -4) (* b b)) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (/ c b) (/ b a)) (/ c b) (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))))) (* 2 a)) (- (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))))) (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b))))) (/ 1/2 (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (sqrt (+ (* -4 (* c a)) (* b b))) (- (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b)))) (+ (* -4 (* c a)) (* b b)) (/ (- (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a))) |
| 3.0ms | c | @ | -inf | ((/ (+ b (sqrt (+ (* (* a c) -4) (* b b)))) (* -2 a)) (+ b (sqrt (+ (* (* a c) -4) (* b b)))) (sqrt (+ (* (* a c) -4) (* b b))) (+ (* (* a c) -4) (* b b)) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (/ c b) (/ b a)) (/ c b) (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))))) (* 2 a)) (- (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))))) (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b))))) (/ 1/2 (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (sqrt (+ (* -4 (* c a)) (* b b))) (- (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b)))) (+ (* -4 (* c a)) (* b b)) (/ (- (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a))) |
| 3.0ms | a | @ | inf | ((/ (+ b (sqrt (+ (* (* a c) -4) (* b b)))) (* -2 a)) (+ b (sqrt (+ (* (* a c) -4) (* b b)))) (sqrt (+ (* (* a c) -4) (* b b))) (+ (* (* a c) -4) (* b b)) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (/ c b) (/ b a)) (/ c b) (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))))) (* 2 a)) (- (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))))) (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b))))) (/ 1/2 (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (sqrt (+ (* -4 (* c a)) (* b b))) (- (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b)))) (+ (* -4 (* c a)) (* b b)) (/ (- (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a))) |
| 3.0ms | a | @ | -inf | ((/ (+ b (sqrt (+ (* (* a c) -4) (* b b)))) (* -2 a)) (+ b (sqrt (+ (* (* a c) -4) (* b b)))) (sqrt (+ (* (* a c) -4) (* b b))) (+ (* (* a c) -4) (* b b)) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (/ c b) (/ b a)) (/ c b) (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))))) (* 2 a)) (- (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))))) (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b))))) (/ 1/2 (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (sqrt (+ (* -4 (* c a)) (* b b))) (- (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b)))) (+ (* -4 (* c a)) (* b b)) (/ (- (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a))) |
| 3.0ms | b | @ | -inf | ((/ (+ b (sqrt (+ (* (* a c) -4) (* b b)))) (* -2 a)) (+ b (sqrt (+ (* (* a c) -4) (* b b)))) (sqrt (+ (* (* a c) -4) (* b b))) (+ (* (* a c) -4) (* b b)) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (/ c b) (/ b a)) (/ c b) (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))))) (* 2 a)) (- (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))))) (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b))))) (/ 1/2 (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (sqrt (+ (* -4 (* c a)) (* b b))) (- (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b)))) (+ (* -4 (* c a)) (* b b)) (/ (- (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1057 | 14401 |
| 1 | 3469 | 14136 |
| 0 | 8146 | 13490 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(* 2 b) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(* -1 (/ b a)) |
(- (/ c b) (/ b a)) |
(- (/ c b) (/ b a)) |
(- (/ c b) (/ b a)) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b)) |
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b)) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(/ c b) |
(* c (+ (/ 1 b) (/ (* a c) (pow b 3)))) |
(* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))) |
(* c (+ (* c (+ (* c (+ (* 1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))) (* 2 (/ (pow a 2) (pow b 5))))) (/ a (pow b 3)))) (/ 1 b))) |
(* 1/2 (/ b c)) |
(/ (+ (* -1/2 (/ (* a c) b)) (* 1/2 b)) c) |
(/ (+ (* 1/2 b) (* c (- (* -1 (* c (+ (* -1/2 (/ (pow a 2) (pow b 3))) (/ (pow a 2) (pow b 3))))) (* 1/2 (/ a b))))) c) |
(/ (+ (* 1/2 b) (* c (- (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (* -1/2 (/ (pow a 2) (pow b 3))) (/ (pow a 2) (pow b 3)))) (pow b 2))) (+ (* -1 (/ (pow a 3) (pow b 5))) (* 1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) a)))))) (+ (* -1/2 (/ (pow a 2) (pow b 3))) (/ (pow a 2) (pow b 3))))) (* 1/2 (/ a b))))) c) |
(* 2 (/ (* a c) b)) |
(* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) |
(* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) |
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)) (* -4 (/ (pow a 3) (pow b 5))))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b)) |
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b)) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* -4 (* a c)) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(/ c b) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))) |
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ b (* a c)))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (/ b (* a c))))))) |
(* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) |
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (pow (sqrt -4) 2)))) c) |
(/ (- (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow c 2)))) (/ b (pow (sqrt -4) 2))) c) |
(/ (- (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -4) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4)))) (pow c 3)))) (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3))) (/ b (pow (sqrt -4) 2))))) c) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))) |
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* -4 (* a c)) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* -4 (* a c)) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(/ c b) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/2 (/ b a))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* 1/2 (/ b a))) c))))) |
(* 1/2 (* (sqrt (/ a c)) (sqrt -1))) |
(* -1 (/ (+ (* -1/2 (* (sqrt (* a c)) (sqrt -1))) (* -1/4 b)) c)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/16 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) (* -1/4 (* b c))) c)) (* -1/2 (* (sqrt (* a c)) (sqrt -1)))) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/32 (/ (* (pow b 3) c) a)) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) c)) (* -1/4 (* b c))) c)) (* -1/2 (* (sqrt (* a c)) (sqrt -1)))) c)) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* -4 (* a c)) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ b (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(* -4 (* a c)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(/ c b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (+ (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) |
(+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (* c (pow (sqrt -4) 2))))) |
(+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* b (- (* -1 (* b (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))) (/ 1 (* c (pow (sqrt -4) 2)))))) |
(+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* b (- (* b (- (* b (- (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (sqrt -4))))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))) (/ 1 (* c (pow (sqrt -4) 2)))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(- b (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(* -4 (* a c)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(* 2 b) |
(* b (+ 2 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(* -2 b) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(/ c b) |
(/ (+ c (/ (* a (pow c 2)) (pow b 2))) b) |
(/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b) |
(* 1/2 (/ b c)) |
(* b (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(* b (- (+ (* -1 (/ (+ (* -1/2 (* (pow a 2) c)) (* (pow a 2) c)) (pow b 4))) (* 1/2 (/ 1 c))) (* 1/2 (/ a (pow b 2))))) |
(* b (- (+ (* -1 (/ (+ (* -1 (* a (* c (+ (* -1/2 (* (pow a 2) c)) (* (pow a 2) c))))) (+ (* -1 (* (pow a 3) (pow c 2))) (* 1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))))) (pow b 6))) (* 1/2 (/ 1 c))) (+ (* -1/2 (/ (* (pow a 2) c) (pow b 4))) (+ (* 1/2 (/ a (pow b 2))) (/ (* (pow a 2) c) (pow b 4)))))) |
(* 2 (/ (* a c) b)) |
(/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b) |
(/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -2 b) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* 2 (/ (* a c) b)) |
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)) |
(* -1 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(/ c b) |
(/ c b) |
(/ c b) |
(/ c b) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -2 (/ (* a c) b)) |
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)) |
(* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(/ b a) |
(* -1 (* b (- (/ c (pow b 2)) (/ 1 a)))) |
(* -1 (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))) |
(* -1 (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))) |
(* 1/2 (/ a b)) |
(* -1 (/ (+ (* -1/2 a) (* -1/2 (/ (* (pow a 2) c) (pow b 2)))) b)) |
(* -1 (/ (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* -1/2 a) (* -1/2 (/ (* (pow a 2) c) (pow b 2))))) b)) |
(* -1 (/ (+ (* -2 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* -1/2 a) (+ (* -1/2 (/ (* (pow a 2) c) (pow b 2))) (* -1/2 (/ (* (pow a 4) (pow c 3)) (pow b 6))))))) b)) |
(* 2 b) |
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2))) |
(* -1 (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))) |
(* -1 (* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -2 (/ (* a c) b)) |
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)) |
(* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)) |
(* -1 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(* 2 b) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(* -1 (/ b a)) |
(/ (- (/ (* a c) b) b) a) |
(/ (- (/ (* a c) b) b) a) |
(/ (- (/ (* a c) b) b) a) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b)) |
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b)) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(/ c b) |
(+ (/ c b) (/ (* a (pow c 2)) (pow b 3))) |
(+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)) |
(+ (* a (+ (* a (+ (* 1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* 2 (/ (pow c 3) (pow b 5))))) (/ (pow c 2) (pow b 3)))) (/ c b)) |
(* 1/2 (/ b c)) |
(+ (* -1/2 (/ a b)) (* 1/2 (/ b c))) |
(+ (* 1/2 (/ b c)) (* a (- (* -1 (* a (+ (* -1/2 (/ c (pow b 3))) (/ c (pow b 3))))) (* 1/2 (/ 1 b))))) |
(+ (* 1/2 (/ b c)) (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (* -1/2 (/ c (pow b 3))) (/ c (pow b 3)))) (pow b 2))) (+ (* -1 (/ (pow c 2) (pow b 5))) (* 1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))))))) (+ (* -1/2 (/ c (pow b 3))) (/ c (pow b 3))))) (* 1/2 (/ 1 b))))) |
(* 2 (/ (* a c) b)) |
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) |
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) |
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b)) |
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b)) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -4 (* a c)) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(/ c b) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) |
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ b a)))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (/ b a))))) |
(* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) |
(+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (* c (pow (sqrt -4) 2))))) |
(- (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow a 2)))) (/ b (* c (pow (sqrt -4) 2)))) |
(- (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4)))) (pow a 3)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3))) (/ b (* c (pow (sqrt -4) 2)))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) |
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -4 (* a c)) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(* -4 (* a c)) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(/ c b) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* 1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/2 b) (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* 1/2 (* (sqrt (/ a c)) (sqrt -1))) |
(+ (* 1/4 (/ b c)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) |
(+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* 1/4 (/ (* a b) c))) a)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/32 (/ (* a (pow b 3)) (pow c 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* 1/4 (/ (* a b) c))) a)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(* -4 (* a c)) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
| Outputs |
|---|
(* -1 (/ b a)) |
(/.f64 (neg.f64 b) a) |
(+ (* -1 (/ b a)) (/ c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(fma.f64 (fma.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a)) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal 2 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a)) |
(* 2 b) |
(*.f64 #s(literal 2 binary64) b) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) b)) |
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 a b))) c (*.f64 #s(literal 2 binary64) b)) |
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c (*.f64 #s(literal 2 binary64) b)) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 a b))) c b) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c b) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(* -1 (/ b a)) |
(/.f64 (neg.f64 b) a) |
(+ (* -1 (/ b a)) (/ c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(fma.f64 (fma.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a)) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal 2 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a)) |
(* -1 (/ b a)) |
(/.f64 (neg.f64 b) a) |
(- (/ c b) (/ b a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(- (/ c b) (/ b a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(- (/ c b) (/ b a)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(* -1 (/ b a)) |
(/.f64 (neg.f64 b) a) |
(+ (* -1 (/ b a)) (/ c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(fma.f64 (fma.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a)) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal 2 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a)) |
(* -2 b) |
(*.f64 #s(literal -2 binary64) b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))) |
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b)) |
(fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 a b))) c (*.f64 #s(literal -2 binary64) b)) |
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64))) c (*.f64 (/.f64 a b) #s(literal 2 binary64))) c (*.f64 #s(literal -2 binary64) b)) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 a b))) c b) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c b) |
(/ c b) |
(/.f64 c b) |
(* c (+ (/ 1 b) (/ (* a c) (pow b 3)))) |
(*.f64 (fma.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b)) c) |
(* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal 2 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal 1 binary64) b)) c) |
(* c (+ (* c (+ (* c (+ (* 1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))) (* 2 (/ (pow a 2) (pow b 5))))) (/ a (pow b 3)))) (/ 1 b))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) c) a) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 a (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal 1 binary64) b)) c) |
(* 1/2 (/ b c)) |
(*.f64 (/.f64 b c) #s(literal 1/2 binary64)) |
(/ (+ (* -1/2 (/ (* a c) b)) (* 1/2 b)) c) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal 1/2 binary64) b)) c) |
(/ (+ (* 1/2 b) (* c (- (* -1 (* c (+ (* -1/2 (/ (pow a 2) (pow b 3))) (/ (pow a 2) (pow b 3))))) (* 1/2 (/ a b))))) c) |
(/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64))) c (*.f64 #s(literal -1/2 binary64) (/.f64 a b))) c (*.f64 #s(literal 1/2 binary64) b)) c) |
(/ (+ (* 1/2 b) (* c (- (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (* -1/2 (/ (pow a 2) (pow b 3))) (/ (pow a 2) (pow b 3)))) (pow b 2))) (+ (* -1 (/ (pow a 3) (pow b 5))) (* 1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) a)))))) (+ (* -1/2 (/ (pow a 2) (pow b 3))) (/ (pow a 2) (pow b 3))))) (* 1/2 (/ a b))))) c) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 c) (fma.f64 (neg.f64 a) (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64)))) (*.f64 b b)) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) a)) #s(literal 1/8 binary64) (/.f64 (neg.f64 (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64))))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 #s(literal -1/2 binary64) (/.f64 a b))) c (*.f64 #s(literal 1/2 binary64) b)) c) |
(* 2 (/ (* a c) b)) |
(*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) |
(* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 a b))) c) |
(* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64))) c (*.f64 (/.f64 a b) #s(literal 2 binary64))) c) |
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)) (* -4 (/ (pow a 3) (pow b 5))))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) #s(literal 1/2 binary64) (*.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) #s(literal 4 binary64))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64))) c (*.f64 (/.f64 a b) #s(literal 2 binary64))) c) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 a b))) c b) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c b) |
(* -2 b) |
(*.f64 #s(literal -2 binary64) b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))) |
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b)) |
(fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 a b))) c (*.f64 #s(literal -2 binary64) b)) |
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64))) c (*.f64 (/.f64 a b) #s(literal 2 binary64))) c (*.f64 #s(literal -2 binary64) b)) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 a b))) c b) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c b) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(* -1 (/ b a)) |
(/.f64 (neg.f64 b) a) |
(+ (* -1 (/ b a)) (/ c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(fma.f64 (fma.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a)) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal 2 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a)) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal -1/2 binary64)) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (/.f64 b a) c))) c) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/4 binary64) (*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (/.f64 b a) c)))) c) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
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(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) |
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(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
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(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
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(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
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(* c (+ (* -4 a) (/ (pow b 2) c))) |
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(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal -1/2 binary64)) |
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(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
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(/ c b) |
(/.f64 c b) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 b a) c)) c) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
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(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) b) (/.f64 (/.f64 b a) c)) c) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(/ c b) |
(/.f64 c b) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal -1/2 binary64)) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
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(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
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(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
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(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (*.f64 c a))) |
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(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
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(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
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(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal -1/2 binary64)) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c))))) |
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(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ b (* a c)))))) |
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(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (/ b (* a c))))))) |
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(* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) |
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(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (pow (sqrt -4) 2)))) c) |
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(/ (- (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -4) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4)))) (pow c 3)))) (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3))) (/ b (pow (sqrt -4) 2))))) c) |
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(* -1 (* (sqrt (* a c)) (sqrt -4))) |
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b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a b) |
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(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(* -1 (/ b a)) |
(/.f64 (neg.f64 b) a) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/.f64 (fma.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)) a (neg.f64 b)) a) |
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(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) |
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(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) |
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(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(*.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (*.f64 b b) a)) a) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
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(* a (+ (* -4 c) (/ (pow b 2) a))) |
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(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
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(/ c b) |
(/.f64 c b) |
(+ (* -1 (/ b a)) (/ c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal -1/2 binary64)) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
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(* -1 (* (sqrt (* a c)) (sqrt -4))) |
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(* (sqrt (* a c)) (sqrt -4)) |
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(*.f64 (neg.f64 a) (fma.f64 #s(literal 4 binary64) c (/.f64 (*.f64 b b) (neg.f64 a)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(*.f64 (neg.f64 a) (fma.f64 #s(literal 4 binary64) c (/.f64 (*.f64 b b) (neg.f64 a)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(*.f64 (neg.f64 a) (fma.f64 #s(literal 4 binary64) c (/.f64 (*.f64 b b) (neg.f64 a)))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 #s(literal 1/2 binary64) b)) (neg.f64 a))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 #s(literal 1/2 binary64) b (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (*.f64 #s(literal -1/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))))) (neg.f64 a))) (neg.f64 a))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 266 |
| 0 | 74 | 246 |
| 1 | 320 | 233 |
| 2 | 2357 | 224 |
| 0 | 9261 | 224 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) |
(+.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) |
(sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) |
(fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (- (/ c b) (/ b a)) (/.f64 c b))) |
#s(approx (- (/ c b) (/ b a)) (/.f64 c b)) |
(/.f64 c b) |
(/.f64 (-.f64 (neg.f64 b) #s(approx (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b))))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (neg.f64 b) #s(approx (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b))))) (neg.f64 b))) |
(neg.f64 b) |
#s(approx (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b))))) (neg.f64 b)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))) |
(/.f64 a (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) |
(-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) |
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) |
(-.f64 (neg.f64 b) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) |
(/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) |
| Outputs |
|---|
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Compiled 70 158 to 6 416 computations (90.9% saved)
24 alts after pruning (20 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 274 | 12 | 2 286 |
| Fresh | 3 | 8 | 11 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 3 | 4 |
| Total | 2 282 | 24 | 2 306 |
| Status | Accuracy | Program |
|---|---|---|
| 26.9% | (/.f64 (fma.f64 b b (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a))) | |
| 57.3% | (/.f64 (-.f64 (/.f64 (neg.f64 b) a) (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) a)) #s(literal 2 binary64)) | |
| 38.9% | (/.f64 (-.f64 (*.f64 (*.f64 b #s(literal -1/2 binary64)) a) (*.f64 a (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) #s(literal 1/2 binary64)))) (*.f64 a a)) | |
| 33.6% | (/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) (*.f64 #s(literal 2 binary64) a)) | |
| ▶ | 35.0% | (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* -4 (* c a)) (* b b))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a)))))) (*.f64 #s(literal 2 binary64) a)) |
| ▶ | 58.6% | (/.f64 (+.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) |
| 36.8% | (/.f64 (+.f64 b (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal -2 binary64) a)) | |
| 27.1% | (/.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) | |
| 36.6% | (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) | |
| 27.0% | (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) | |
| ▶ | 2.4% | (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b))))) |
| 9.5% | (/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 a b) (*.f64 (/.f64 b c) #s(literal 1/2 binary64))))) | |
| 9.5% | (/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (*.f64 (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) c)) b))) | |
| ▶ | 58.4% | (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) |
| 39.6% | #s(approx (/ (- (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/.f64 (neg.f64 b) a)) | |
| ✓ | 31.9% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (*.f64 (/.f64 c b) a) (/.f64 c b) c) (neg.f64 b))) |
| 22.5% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)))) | |
| ✓ | 32.1% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) |
| 31.4% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c))) | |
| ✓ | 39.6% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
| 32.0% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) | |
| 17.5% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 b) c)) #s(literal -1 binary64)))) | |
| ✓ | 9.3% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (- (/ c b) (/ b a)) (/.f64 c b))) |
| ▶ | 2.4% | #s(approx (/ 1/2 (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (/.f64 b a)) |
Compiled 600 to 490 computations (18.3% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* -4 (* c a)) (* b b))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a))))) | |
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 128 | (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* -4 (* c a)) (* b b))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a)))))) | |
| cost-diff | 128 | (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* -4 (* c a)) (* b b))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a)))))) (*.f64 #s(literal 2 binary64) a)) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) | |
| cost-diff | 0 | (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) | |
| cost-diff | 0 | (/.f64 #s(literal -1/2 binary64) a) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) | |
| cost-diff | 0 | #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) | |
| cost-diff | 0 | (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b))) | |
| cost-diff | 0 | (/.f64 a (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)))) | |
| cost-diff | 384 | (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b))))) | |
| cost-diff | 0 | (/.f64 b a) | |
| cost-diff | 0 | #s(approx (/ 1/2 (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (/.f64 b a)) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) | |
| cost-diff | 0 | (+.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) | |
| cost-diff | 0 | (/.f64 (+.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 332 |
| 0 | 72 | 322 |
| 1 | 123 | 322 |
| 2 | 209 | 320 |
| 3 | 381 | 320 |
| 4 | 672 | 320 |
| 5 | 1356 | 320 |
| 6 | 2731 | 320 |
| 7 | 4070 | 320 |
| 8 | 4966 | 320 |
| 9 | 5212 | 320 |
| 10 | 5266 | 320 |
| 11 | 5299 | 320 |
| 12 | 5325 | 320 |
| 13 | 5661 | 320 |
| 14 | 5816 | 320 |
| 15 | 5816 | 320 |
| 16 | 5816 | 320 |
| 17 | 5924 | 320 |
| 18 | 6585 | 320 |
| 19 | 7248 | 320 |
| 20 | 7911 | 320 |
| 0 | 8039 | 319 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) |
(+.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) |
b |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(*.f64 #s(literal -4 binary64) c) |
#s(literal -4 binary64) |
c |
a |
(*.f64 b b) |
(*.f64 #s(literal -2 binary64) a) |
#s(literal -2 binary64) |
#s(approx (/ 1/2 (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (/.f64 b a)) |
(/.f64 b a) |
b |
a |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b))))) |
#s(literal 1/2 binary64) |
(/.f64 a (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)))) |
a |
(-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b))) |
b |
#s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) |
(neg.f64 b) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) |
(/.f64 #s(literal -1/2 binary64) a) |
#s(literal -1/2 binary64) |
a |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) |
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) |
(*.f64 c a) |
c |
#s(literal -4 binary64) |
(*.f64 b b) |
b |
(/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* -4 (* c a)) (* b b))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a)))))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* -4 (* c a)) (* b b))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a)))))) |
(neg.f64 b) |
b |
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* -4 (* c a)) (* b b))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a))))) |
#s(literal 1 binary64) |
(sqrt.f64 #s(approx (/ 1 (+ (* -4 (* c a)) (* b b))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a)))) |
#s(approx (/ 1 (+ (* -4 (* c a)) (* b b))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a))) |
(/.f64 #s(literal -1/4 binary64) (*.f64 c a)) |
#s(literal -1/4 binary64) |
(*.f64 c a) |
c |
a |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
| Outputs |
|---|
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) |
(*.f64 (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (/.f64 #s(literal -1/2 binary64) a)) |
(+.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) |
(+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) |
b |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) |
(*.f64 #s(literal -4 binary64) c) |
(*.f64 c #s(literal -4 binary64)) |
#s(literal -4 binary64) |
c |
a |
(*.f64 b b) |
(*.f64 #s(literal -2 binary64) a) |
#s(literal -2 binary64) |
#s(approx (/ 1/2 (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (/.f64 b a)) |
(/.f64 b a) |
b |
a |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b))))) |
(*.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) b) a) #s(literal -1/2 binary64)) |
#s(literal 1/2 binary64) |
(/.f64 a (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)))) |
a |
(-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b))) |
b |
#s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) |
(neg.f64 b) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) |
(*.f64 (+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) (/.f64 #s(literal -1/2 binary64) a)) |
(/.f64 #s(literal -1/2 binary64) a) |
#s(literal -1/2 binary64) |
a |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) |
(+.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) |
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) |
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) |
(fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)) |
(*.f64 c a) |
(*.f64 a c) |
c |
#s(literal -4 binary64) |
(*.f64 b b) |
b |
(/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* -4 (* c a)) (* b b))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a)))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) b (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* -4 (* c a)) (* b b))) (/.f64 #s(literal -1/4 binary64) (*.f64 a c)))))) a) |
(-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* -4 (* c a)) (* b b))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a)))))) |
(-.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* -4 (* c a)) (* b b))) (/.f64 #s(literal -1/4 binary64) (*.f64 a c))))) b) |
(neg.f64 b) |
b |
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* -4 (* c a)) (* b b))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* -4 (* c a)) (* b b))) (/.f64 #s(literal -1/4 binary64) (*.f64 a c))))) |
#s(literal 1 binary64) |
(sqrt.f64 #s(approx (/ 1 (+ (* -4 (* c a)) (* b b))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a)))) |
(sqrt.f64 #s(approx (/ 1 (+ (* -4 (* c a)) (* b b))) (/.f64 #s(literal -1/4 binary64) (*.f64 a c)))) |
#s(approx (/ 1 (+ (* -4 (* c a)) (* b b))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a))) |
#s(approx (/ 1 (+ (* -4 (* c a)) (* b b))) (/.f64 #s(literal -1/4 binary64) (*.f64 a c))) |
(/.f64 #s(literal -1/4 binary64) (*.f64 c a)) |
(/.f64 #s(literal -1/4 binary64) (*.f64 a c)) |
#s(literal -1/4 binary64) |
(*.f64 c a) |
(*.f64 a c) |
c |
a |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 2.50102475416605 | (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* -4 (* c a)) (* b b))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a)))))) (*.f64 #s(literal 2 binary64) a)) | |
| accuracy | 12.610216129111473 | (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* -4 (* c a)) (* b b))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a)))))) | |
| accuracy | 21.7057394455923 | (sqrt.f64 #s(approx (/ 1 (+ (* -4 (* c a)) (* b b))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a)))) | |
| accuracy | 40.91364669581634 | #s(approx (/ 1 (+ (* -4 (* c a)) (* b b))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a))) | |
| accuracy | 0.20931625976844204 | (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) | |
| accuracy | 2.6204972639344923 | (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) | |
| accuracy | 12.610216129111473 | (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) | |
| accuracy | 22.4939934248599 | (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) | |
| accuracy | 0.5535251638111609 | (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b))))) | |
| accuracy | 4.765086296403628 | (/.f64 a (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)))) | |
| accuracy | 13.918061324577476 | (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b))) | |
| accuracy | 43.87577861238482 | #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) | |
| accuracy | 0 | (/.f64 b a) | |
| accuracy | 43.31814877608057 | #s(approx (/ 1/2 (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (/.f64 b a)) | |
| accuracy | 0.00390625 | (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) | |
| accuracy | 2.50102475416605 | (/.f64 (+.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) | |
| accuracy | 12.610216129111473 | (+.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) | |
| accuracy | 22.4939934248599 | (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
| 44.0ms | 71× | 2 | valid |
| 41.0ms | 80× | 1 | valid |
| 29.0ms | 85× | 0 | valid |
| 16.0ms | 20× | 3 | valid |
Compiled 517 to 79 computations (84.7% saved)
ival-div: 24.0ms (28.3% of total)ival-mult: 17.0ms (20% of total)adjust: 14.0ms (16.5% of total)ival-sqrt: 13.0ms (15.3% of total)ival-add: 10.0ms (11.8% of total)ival-sub: 5.0ms (5.9% of total)exact: 1.0ms (1.2% of total)ival-neg: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (+.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) (patch (/.f64 (+.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) #<representation binary64>) () ()) |
#s(alt (+.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (patch (+.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 1/2 (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (/.f64 b a)) (patch #s(approx (/ 1/2 (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (/.f64 b a)) #<representation binary64>) () ()) |
#s(alt (/.f64 b a) (patch (/.f64 b a) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b))))) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b))))) #<representation binary64>) () ()) |
#s(alt (/.f64 a (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)))) (patch (/.f64 a (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)))) #<representation binary64>) () ()) |
#s(alt (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b))) (patch (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b))) #<representation binary64>) () ()) |
#s(alt #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) (patch #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) (patch (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1/2 binary64) a) (patch (/.f64 #s(literal -1/2 binary64) a) #<representation binary64>) () ()) |
#s(alt (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) (patch (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* -4 (* c a)) (* b b))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a)))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* -4 (* c a)) (* b b))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a)))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ()) |
#s(alt (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* -4 (* c a)) (* b b))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a)))))) (patch (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* -4 (* c a)) (* b b))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a)))))) #<representation binary64>) () ()) |
#s(alt (neg.f64 b) (patch (neg.f64 b) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* -4 (* c a)) (* b b))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a))))) (patch (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* -4 (* c a)) (* b b))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a))))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) (patch (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 1 (+ (* -4 (* c a)) (* b b))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a))) (patch #s(approx (/ 1 (+ (* -4 (* c a)) (* b b))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a))) #<representation binary64>) () ()) |
#s(alt (sqrt.f64 #s(approx (/ 1 (+ (* -4 (* c a)) (* b b))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a)))) (patch (sqrt.f64 #s(approx (/ 1 (+ (* -4 (* c a)) (* b b))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a)))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (/ b a)) (taylor 0 c) (#s(alt (/.f64 (+.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) (patch (/.f64 (+.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ b a)) (/ c b)) (taylor 0 c) (#s(alt (/.f64 (+.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) (patch (/.f64 (+.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) (taylor 0 c) (#s(alt (/.f64 (+.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) (patch (/.f64 (+.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) (taylor 0 c) (#s(alt (/.f64 (+.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) (patch (/.f64 (+.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 b) (taylor 0 c) (#s(alt (+.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (patch (+.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -2 (/ (* a c) b)) (* 2 b)) (taylor 0 c) (#s(alt (+.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (patch (+.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) (taylor 0 c) (#s(alt (+.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (patch (+.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) (taylor 0 c) (#s(alt (+.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (patch (+.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) #<representation binary64>) () ())) ()) |
#s(alt b (taylor 0 c) (#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (+ b (* -2 (/ (* a c) b))) (taylor 0 c) (#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) (taylor 0 c) (#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) (taylor 0 c) (#s(alt (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (pow b 2) (taylor 0 c) (#s(alt (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -4 (* a c)) (pow b 2)) (taylor 0 c) (#s(alt (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ c b) (taylor 0 c) (#s(alt #s(approx (/ 1/2 (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (/.f64 b a)) (patch #s(approx (/ 1/2 (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (/.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))) (taylor 0 c) (#s(alt #s(approx (/ 1/2 (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (/.f64 b a)) (patch #s(approx (/ 1/2 (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (/.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ 1/2 (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (/.f64 b a)) (patch #s(approx (/ 1/2 (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (/.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* c (+ (* c (+ (* 1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))) (* 2 (/ (pow a 2) (pow b 5))))) (/ a (pow b 3)))) (/ 1 b))) (taylor 0 c) (#s(alt #s(approx (/ 1/2 (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (/.f64 b a)) (patch #s(approx (/ 1/2 (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (/.f64 b a)) #<representation binary64>) () ())) ()) |
#s(alt (/ c b) (taylor 0 c) (#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b))))) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b))))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (/ 1 b) (/ (* a c) (pow b 3)))) (taylor 0 c) (#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b))))) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b))))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))) (taylor 0 c) (#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b))))) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b))))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* c (+ (* c (+ (* 1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))) (* 2 (/ (pow a 2) (pow b 5))))) (/ a (pow b 3)))) (/ 1 b))) (taylor 0 c) (#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b))))) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b))))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (/ b c)) (taylor 0 c) (#s(alt (/.f64 a (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)))) (patch (/.f64 a (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1/2 (/ (* a c) b)) (* 1/2 b)) c) (taylor 0 c) (#s(alt (/.f64 a (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)))) (patch (/.f64 a (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* 1/2 b) (* c (- (* -1 (* c (+ (* -1/2 (/ (pow a 2) (pow b 3))) (/ (pow a 2) (pow b 3))))) (* 1/2 (/ a b))))) c) (taylor 0 c) (#s(alt (/.f64 a (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)))) (patch (/.f64 a (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)))) #<representation binary64>) () ())) ()) |
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#s(alt (* c (+ (* -4 a) (/ (pow b 2) c))) (taylor inf c) (#s(alt (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) (patch (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) #<representation binary64>) () ())) ()) |
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#s(alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c))))) (taylor inf c) (#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b))))) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b))))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ b (* a c)))))) (taylor inf c) (#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b))))) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b))))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (/ b (* a c))))))) (taylor inf c) (#s(alt (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b))))) (patch (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b))))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (taylor inf c) (#s(alt (/.f64 a (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)))) (patch (/.f64 a (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (pow (sqrt -4) 2)))) c) (taylor inf c) (#s(alt (/.f64 a (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)))) (patch (/.f64 a (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow c 2)))) (/ b (pow (sqrt -4) 2))) c) (taylor inf c) (#s(alt (/.f64 a (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)))) (patch (/.f64 a (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -4) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4)))) (pow c 3)))) (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3))) (/ b (pow (sqrt -4) 2))))) c) (taylor inf c) (#s(alt (/.f64 a (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)))) (patch (/.f64 a (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* (sqrt (* a c)) (sqrt -4))) (taylor inf c) (#s(alt (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b))) (patch (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4)))) (taylor inf c) (#s(alt (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b))) (patch (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) (taylor inf c) (#s(alt (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b))) (patch (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) (taylor inf c) (#s(alt (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b))) (patch (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b))) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor inf c) (#s(alt #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) (patch #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (taylor inf c) (#s(alt #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) (patch #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) (taylor inf c) (#s(alt #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) (patch #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) (taylor inf c) (#s(alt #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) (patch #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (taylor inf c) (#s(alt (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) (patch (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) (taylor inf c) (#s(alt (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) (patch (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) (taylor inf c) (#s(alt (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) (patch (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) (taylor inf c) (#s(alt (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) (patch (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor inf c) (#s(alt (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) (patch (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))) (taylor inf c) (#s(alt (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) (patch (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))) (taylor inf c) (#s(alt (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) (patch (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))) (taylor inf c) (#s(alt (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) (patch (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) #<representation binary64>) () ())) ()) |
#s(alt (* (sqrt (* a c)) (sqrt -4)) (taylor inf c) (#s(alt (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (taylor inf c) (#s(alt (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) (taylor inf c) (#s(alt (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) (taylor inf c) (#s(alt (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) (patch (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (taylor inf c) (#s(alt (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* -4 (* c a)) (* b b))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a)))))) (*.f64 #s(literal 2 binary64) a)) (patch (/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* -4 (* c a)) (* b b))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a)))))) (*.f64 #s(literal 2 binary64) a)) #<representation binary64>) () ())) ()) |
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#s(alt (* -4 (* a c)) (taylor -inf a) (#s(alt (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) (patch (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) (patch (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) (patch (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) (taylor -inf a) (#s(alt (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) (patch (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1/4 (* a c)) (taylor -inf a) (#s(alt #s(approx (/ 1 (+ (* -4 (* c a)) (* b b))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a))) (patch #s(approx (/ 1 (+ (* -4 (* c a)) (* b b))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))) a)) (taylor -inf a) (#s(alt #s(approx (/ 1 (+ (* -4 (* c a)) (* b b))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a))) (patch #s(approx (/ 1 (+ (* -4 (* c a)) (* b b))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1/64 (/ (pow b 4) (* a (pow c 3)))) (* 1/16 (/ (pow b 2) (pow c 2)))) a)) (* 1/4 (/ 1 c))) a)) (taylor -inf a) (#s(alt #s(approx (/ 1 (+ (* -4 (* c a)) (* b b))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a))) (patch #s(approx (/ 1 (+ (* -4 (* c a)) (* b b))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow b 6) (* a (pow c 4)))) (* -1/64 (/ (pow b 4) (pow c 3)))) a)) (* 1/16 (/ (pow b 2) (pow c 2)))) a)) (* 1/4 (/ 1 c))) a)) (taylor -inf a) (#s(alt #s(approx (/ 1 (+ (* -4 (* c a)) (* b b))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a))) (patch #s(approx (/ 1 (+ (* -4 (* c a)) (* b b))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (taylor -inf a) (#s(alt (sqrt.f64 #s(approx (/ 1 (+ (* -4 (* c a)) (* b b))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a)))) (patch (sqrt.f64 #s(approx (/ 1 (+ (* -4 (* c a)) (* b b))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))) (taylor -inf a) (#s(alt (sqrt.f64 #s(approx (/ 1 (+ (* -4 (* c a)) (* b b))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a)))) (patch (sqrt.f64 #s(approx (/ 1 (+ (* -4 (* c a)) (* b b))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))) (taylor -inf a) (#s(alt (sqrt.f64 #s(approx (/ 1 (+ (* -4 (* c a)) (* b b))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a)))) (patch (sqrt.f64 #s(approx (/ 1 (+ (* -4 (* c a)) (* b b))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ a (pow c 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1/256 (/ (* a (pow b 4)) (pow c 3))) (* 1/256 (/ (pow b 6) (pow c 4))))))) (pow a 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))) (taylor -inf a) (#s(alt (sqrt.f64 #s(approx (/ 1 (+ (* -4 (* c a)) (* b b))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a)))) (patch (sqrt.f64 #s(approx (/ 1 (+ (* -4 (* c a)) (* b b))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a)))) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | b | @ | -inf | ((/ (+ b (sqrt (+ (* (* -4 c) a) (* b b)))) (* -2 a)) (+ b (sqrt (+ (* (* -4 c) a) (* b b)))) (sqrt (+ (* (* -4 c) a) (* b b))) (+ (* (* -4 c) a) (* b b)) (/ 1/2 (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (/ b a) (/ 1/2 (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (sqrt (+ (* -4 (* c a)) (* b b))) (* (/ -1/2 a) (+ (sqrt (+ (* (* c a) -4) (* b b))) b)) (/ -1/2 a) (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (sqrt (+ (* (* c a) -4) (* b b))) (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))))) (* 2 a)) (- (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))))) (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b))))) (+ (* (* c a) -4) (* b b)) (/ 1 (+ (* -4 (* c a)) (* b b))) (sqrt (/ 1 (+ (* -4 (* c a)) (* b b))))) |
| 1.0ms | b | @ | inf | ((/ (+ b (sqrt (+ (* (* -4 c) a) (* b b)))) (* -2 a)) (+ b (sqrt (+ (* (* -4 c) a) (* b b)))) (sqrt (+ (* (* -4 c) a) (* b b))) (+ (* (* -4 c) a) (* b b)) (/ 1/2 (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (/ b a) (/ 1/2 (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (sqrt (+ (* -4 (* c a)) (* b b))) (* (/ -1/2 a) (+ (sqrt (+ (* (* c a) -4) (* b b))) b)) (/ -1/2 a) (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (sqrt (+ (* (* c a) -4) (* b b))) (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))))) (* 2 a)) (- (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))))) (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b))))) (+ (* (* c a) -4) (* b b)) (/ 1 (+ (* -4 (* c a)) (* b b))) (sqrt (/ 1 (+ (* -4 (* c a)) (* b b))))) |
| 1.0ms | a | @ | -inf | ((/ (+ b (sqrt (+ (* (* -4 c) a) (* b b)))) (* -2 a)) (+ b (sqrt (+ (* (* -4 c) a) (* b b)))) (sqrt (+ (* (* -4 c) a) (* b b))) (+ (* (* -4 c) a) (* b b)) (/ 1/2 (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (/ b a) (/ 1/2 (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (sqrt (+ (* -4 (* c a)) (* b b))) (* (/ -1/2 a) (+ (sqrt (+ (* (* c a) -4) (* b b))) b)) (/ -1/2 a) (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (sqrt (+ (* (* c a) -4) (* b b))) (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))))) (* 2 a)) (- (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))))) (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b))))) (+ (* (* c a) -4) (* b b)) (/ 1 (+ (* -4 (* c a)) (* b b))) (sqrt (/ 1 (+ (* -4 (* c a)) (* b b))))) |
| 1.0ms | a | @ | inf | ((/ (+ b (sqrt (+ (* (* -4 c) a) (* b b)))) (* -2 a)) (+ b (sqrt (+ (* (* -4 c) a) (* b b)))) (sqrt (+ (* (* -4 c) a) (* b b))) (+ (* (* -4 c) a) (* b b)) (/ 1/2 (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (/ b a) (/ 1/2 (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (sqrt (+ (* -4 (* c a)) (* b b))) (* (/ -1/2 a) (+ (sqrt (+ (* (* c a) -4) (* b b))) b)) (/ -1/2 a) (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (sqrt (+ (* (* c a) -4) (* b b))) (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))))) (* 2 a)) (- (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))))) (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b))))) (+ (* (* c a) -4) (* b b)) (/ 1 (+ (* -4 (* c a)) (* b b))) (sqrt (/ 1 (+ (* -4 (* c a)) (* b b))))) |
| 1.0ms | b | @ | 0 | ((/ (+ b (sqrt (+ (* (* -4 c) a) (* b b)))) (* -2 a)) (+ b (sqrt (+ (* (* -4 c) a) (* b b)))) (sqrt (+ (* (* -4 c) a) (* b b))) (+ (* (* -4 c) a) (* b b)) (/ 1/2 (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (/ b a) (/ 1/2 (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (- b (sqrt (+ (* -4 (* c a)) (* b b)))) (sqrt (+ (* -4 (* c a)) (* b b))) (* (/ -1/2 a) (+ (sqrt (+ (* (* c a) -4) (* b b))) b)) (/ -1/2 a) (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (sqrt (+ (* (* c a) -4) (* b b))) (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))))) (* 2 a)) (- (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))))) (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b))))) (+ (* (* c a) -4) (* b b)) (/ 1 (+ (* -4 (* c a)) (* b b))) (sqrt (/ 1 (+ (* -4 (* c a)) (* b b))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1387 | 16409 |
| 1 | 4535 | 16164 |
| 0 | 8077 | 15419 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(* 2 b) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(/ c b) |
(* c (+ (/ 1 b) (/ (* a c) (pow b 3)))) |
(* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))) |
(* c (+ (* c (+ (* c (+ (* 1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))) (* 2 (/ (pow a 2) (pow b 5))))) (/ a (pow b 3)))) (/ 1 b))) |
(/ c b) |
(* c (+ (/ 1 b) (/ (* a c) (pow b 3)))) |
(* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))) |
(* c (+ (* c (+ (* c (+ (* 1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))) (* 2 (/ (pow a 2) (pow b 5))))) (/ a (pow b 3)))) (/ 1 b))) |
(* 1/2 (/ b c)) |
(/ (+ (* -1/2 (/ (* a c) b)) (* 1/2 b)) c) |
(/ (+ (* 1/2 b) (* c (- (* -1 (* c (+ (* -1/2 (/ (pow a 2) (pow b 3))) (/ (pow a 2) (pow b 3))))) (* 1/2 (/ a b))))) c) |
(/ (+ (* 1/2 b) (* c (- (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (* -1/2 (/ (pow a 2) (pow b 3))) (/ (pow a 2) (pow b 3)))) (pow b 2))) (+ (* -1 (/ (pow a 3) (pow b 5))) (* 1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) a)))))) (+ (* -1/2 (/ (pow a 2) (pow b 3))) (/ (pow a 2) (pow b 3))))) (* 1/2 (/ a b))))) c) |
(* 2 (/ (* a c) b)) |
(* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) |
(* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) |
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)) (* -4 (/ (pow a 3) (pow b 5))))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(* 2 b) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* -1 (/ b a)) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b)) |
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b)) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(/ 1 (pow b 2)) |
(+ (* 4 (/ (* a c) (pow b 4))) (/ 1 (pow b 2))) |
(+ (* c (- (* 16 (/ (* (pow a 2) c) (pow b 6))) (* -4 (/ a (pow b 4))))) (/ 1 (pow b 2))) |
(+ (* c (- (* c (- (* 64 (/ (* (pow a 3) c) (pow b 8))) (* -16 (/ (pow a 2) (pow b 6))))) (* -4 (/ a (pow b 4))))) (/ 1 (pow b 2))) |
(/ 1 b) |
(+ (* 2 (/ (* a c) (pow b 3))) (/ 1 b)) |
(+ (* c (+ (* -1/2 (* b (* c (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))))) (* 2 (/ a (pow b 3))))) (/ 1 b)) |
(+ (* c (+ (* 2 (/ a (pow b 3))) (* c (+ (* -1/2 (* b (* c (+ (* -64 (/ (pow a 3) (pow b 8))) (* -2 (/ (* a (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))) (pow b 2))))))) (* -1/2 (* b (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6)))))))))) (/ 1 b)) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* -4 (* a c)) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ b (* a c)))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (/ b (* a c))))))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ b (* a c)))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (/ b (* a c))))))) |
(* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) |
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (pow (sqrt -4) 2)))) c) |
(/ (- (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow c 2)))) (/ b (pow (sqrt -4) 2))) c) |
(/ (- (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -4) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4)))) (pow c 3)))) (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3))) (/ b (pow (sqrt -4) 2))))) c) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))) |
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* -4 (* a c)) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(/ -1/4 (* a c)) |
(/ (- (* -1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))) c) |
(/ (- (* -1/64 (/ (pow b 4) (* (pow a 3) (pow c 2)))) (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a)))) c) |
(/ (- (* -1/256 (/ (pow b 6) (* (pow a 4) (pow c 3)))) (+ (* 1/64 (/ (pow b 4) (* (pow a 3) (pow c 2)))) (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))))) c) |
(* (sqrt (/ 1 (* a c))) (sqrt -1/4)) |
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))) |
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))) |
(+ (* -1/2 (* (sqrt (/ a (pow c 7))) (/ (+ (* 1/1024 (/ (* (pow b 4) c) (* (pow a 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow a 4)))) (sqrt -1/4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* -4 (* a c)) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/2 (/ b a))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* 1/2 (/ b a))) c))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/2 (/ b a))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* 1/2 (/ b a))) c))))) |
(* 1/2 (* (sqrt (/ a c)) (sqrt -1))) |
(* -1 (/ (+ (* -1/2 (* (sqrt (* a c)) (sqrt -1))) (* -1/4 b)) c)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1/16 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) (* -1/4 (* b c))) c)) (* -1/2 (* (sqrt (* a c)) (sqrt -1)))) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/32 (/ (* (pow b 3) c) a)) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) c)) (* -1/4 (* b c))) c)) (* -1/2 (* (sqrt (* a c)) (sqrt -1)))) c)) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (- (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* -4 (* a c)) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(/ -1/4 (* a c)) |
(* -1 (/ (+ (* 1/16 (/ (pow b 2) (* (pow a 2) c))) (* 1/4 (/ 1 a))) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1/64 (/ (pow b 4) (* (pow a 3) c))) (* 1/16 (/ (pow b 2) (pow a 2)))) c)) (* 1/4 (/ 1 a))) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow b 6) (* (pow a 4) c))) (* -1/64 (/ (pow b 4) (pow a 3)))) c)) (* 1/16 (/ (pow b 2) (pow a 2)))) c)) (* 1/4 (/ 1 a))) c)) |
(* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) |
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))) |
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ c (pow a 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ a c)) (* (sqrt -1) (+ (* -1/256 (/ (* (pow b 4) c) (pow a 3))) (* 1/256 (/ (pow b 6) (pow a 4))))))) (pow c 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ b (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(* -4 (* a c)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (+ (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (+ (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) |
(+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (* c (pow (sqrt -4) 2))))) |
(+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* b (- (* -1 (* b (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))) (/ 1 (* c (pow (sqrt -4) 2)))))) |
(+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* b (- (* b (- (* b (- (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -4) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (sqrt -4))))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))))) (/ 1 (* c (pow (sqrt -4) 2)))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(- b (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ b (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))))) (* (sqrt (* a c)) (sqrt -4))) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* (sqrt (* a c)) (sqrt -4)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(* -4 (* a c)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(/ -1/4 (* a c)) |
(- (* -1/16 (/ (pow b 2) (* (pow a 2) (pow c 2)))) (* 1/4 (/ 1 (* a c)))) |
(- (* (pow b 2) (- (* -1/64 (/ (pow b 2) (* (pow a 3) (pow c 3)))) (* 1/16 (/ 1 (* (pow a 2) (pow c 2)))))) (* 1/4 (/ 1 (* a c)))) |
(- (* (pow b 2) (- (* (pow b 2) (- (* -1/256 (/ (pow b 2) (* (pow a 4) (pow c 4)))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3)))))) (* 1/16 (/ 1 (* (pow a 2) (pow c 2)))))) (* 1/4 (/ 1 (* a c)))) |
(* (sqrt (/ 1 (* a c))) (sqrt -1/4)) |
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))) |
(+ (* (sqrt (/ 1 (* a c))) (sqrt -1/4)) (* (pow b 2) (+ (* -1/2 (* (sqrt (* a c)) (/ (* (pow b 2) (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3)))))) (sqrt -1/4)))) (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1/4))))))) |
(+ (* (sqrt (/ 1 (* a c))) (sqrt -1/4)) (* (pow b 2) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (sqrt -1/4)))) (* (pow b 2) (+ (* -1/2 (* (sqrt (* a c)) (/ (* (pow b 2) (+ (* 1/32 (/ (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3))))) (* a (* c (pow (sqrt -1/4) 2))))) (* 1/256 (/ 1 (* (pow a 4) (pow c 4)))))) (sqrt -1/4)))) (* -1/2 (* (sqrt (* a c)) (/ (+ (* 1/1024 (/ 1 (* (pow a 3) (* (pow c 3) (pow (sqrt -1/4) 2))))) (* 1/64 (/ 1 (* (pow a 3) (pow c 3))))) (sqrt -1/4))))))))) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(* 2 b) |
(* b (+ 2 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(/ c b) |
(/ (+ c (/ (* a (pow c 2)) (pow b 2))) b) |
(/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ c b) |
(/ (+ c (/ (* a (pow c 2)) (pow b 2))) b) |
(/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b) |
(* 1/2 (/ b c)) |
(* b (+ (* -1/2 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(* b (- (+ (* -1 (/ (+ (* -1/2 (* (pow a 2) c)) (* (pow a 2) c)) (pow b 4))) (* 1/2 (/ 1 c))) (* 1/2 (/ a (pow b 2))))) |
(* b (- (+ (* -1 (/ (+ (* -1 (* a (* c (+ (* -1/2 (* (pow a 2) c)) (* (pow a 2) c))))) (+ (* -1 (* (pow a 3) (pow c 2))) (* 1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))))) (pow b 6))) (* 1/2 (/ 1 c))) (+ (* -1/2 (/ (* (pow a 2) c) (pow b 4))) (+ (* 1/2 (/ a (pow b 2))) (/ (* (pow a 2) c) (pow b 4)))))) |
(* 2 (/ (* a c) b)) |
(/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b) |
(/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(* 2 b) |
(* b (+ 2 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (/ b a)) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(* -2 b) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
b |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(/ 1 (pow b 2)) |
(/ (+ 1 (* 4 (/ (* a c) (pow b 2)))) (pow b 2)) |
(/ (- (+ 1 (* 16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -4 (/ (* a c) (pow b 2)))) (pow b 2)) |
(/ (- (+ 1 (* 64 (/ (* (pow a 3) (pow c 3)) (pow b 6)))) (+ (* -16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -4 (/ (* a c) (pow b 2))))) (pow b 2)) |
(/ 1 b) |
(/ (+ 1 (* 2 (/ (* a c) (pow b 2)))) b) |
(/ (+ 1 (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2))))) b) |
(/ (+ 1 (+ (* -1/2 (/ (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))))) b) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* 2 (/ (* a c) b)) |
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)) |
(* -1 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(/ b a) |
(* -1 (* b (- (/ c (pow b 2)) (/ 1 a)))) |
(* -1 (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))) |
(* -1 (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(* -1 (* b (- (/ c (pow b 2)) (/ 1 a)))) |
(* -1 (* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))) |
(* -1 (* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a)))) |
(* 1/2 (/ a b)) |
(* -1 (/ (+ (* -1/2 a) (* -1/2 (/ (* (pow a 2) c) (pow b 2)))) b)) |
(* -1 (/ (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* -1/2 a) (* -1/2 (/ (* (pow a 2) c) (pow b 2))))) b)) |
(* -1 (/ (+ (* -2 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -1 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (+ (* -1/2 a) (+ (* -1/2 (/ (* (pow a 2) c) (pow b 2))) (* -1/2 (/ (* (pow a 4) (pow c 3)) (pow b 6))))))) b)) |
(* 2 b) |
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 2))) |
(* -1 (* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2))))))) |
(* -1 (* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* 2 (/ (* a c) b)) |
(* -1 (/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)) |
(* -1 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -2 (/ (* a c) b)) |
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)) |
(* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(pow b 2) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(/ 1 (pow b 2)) |
(/ (+ 1 (* 4 (/ (* a c) (pow b 2)))) (pow b 2)) |
(/ (- (+ 1 (* 16 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -4 (/ (* a c) (pow b 2)))) (pow b 2)) |
(/ (- (+ 1 (* 64 (/ (* (pow a 3) (pow c 3)) (pow b 6)))) (+ (* -16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -4 (/ (* a c) (pow b 2))))) (pow b 2)) |
(/ -1 b) |
(* -1 (/ (+ 1 (* 2 (/ (* a c) (pow b 2)))) b)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2))))) b)) |
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -64 (* (pow a 3) (pow c 3))) (* -2 (* a (* c (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -16 (* (pow a 2) (pow c 2))) (* 4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))))) b)) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(* 2 b) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(/ c b) |
(+ (/ c b) (/ (* a (pow c 2)) (pow b 3))) |
(+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)) |
(+ (* a (+ (* a (+ (* 1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* 2 (/ (pow c 3) (pow b 5))))) (/ (pow c 2) (pow b 3)))) (/ c b)) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ c b) |
(+ (/ c b) (/ (* a (pow c 2)) (pow b 3))) |
(+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)) |
(+ (* a (+ (* a (+ (* 1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* 2 (/ (pow c 3) (pow b 5))))) (/ (pow c 2) (pow b 3)))) (/ c b)) |
(* 1/2 (/ b c)) |
(+ (* -1/2 (/ a b)) (* 1/2 (/ b c))) |
(+ (* 1/2 (/ b c)) (* a (- (* -1 (* a (+ (* -1/2 (/ c (pow b 3))) (/ c (pow b 3))))) (* 1/2 (/ 1 b))))) |
(+ (* 1/2 (/ b c)) (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* c (+ (* -1/2 (/ c (pow b 3))) (/ c (pow b 3)))) (pow b 2))) (+ (* -1 (/ (pow c 2) (pow b 5))) (* 1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) (pow c 2))))))) (+ (* -1/2 (/ c (pow b 3))) (/ c (pow b 3))))) (* 1/2 (/ 1 b))))) |
(* 2 (/ (* a c) b)) |
(* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) |
(* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) |
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)) (* -4 (/ (pow c 3) (pow b 5))))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(/ -1/2 a) |
(/ -1/2 a) |
(/ -1/2 a) |
(/ -1/2 a) |
(* 2 b) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b)) |
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b)) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(+ (* -4 (* a c)) (pow b 2)) |
(/ 1 (pow b 2)) |
(+ (* 4 (/ (* a c) (pow b 4))) (/ 1 (pow b 2))) |
(+ (* a (- (* 16 (/ (* a (pow c 2)) (pow b 6))) (* -4 (/ c (pow b 4))))) (/ 1 (pow b 2))) |
(+ (* a (- (* a (- (* 64 (/ (* a (pow c 3)) (pow b 8))) (* -16 (/ (pow c 2) (pow b 6))))) (* -4 (/ c (pow b 4))))) (/ 1 (pow b 2))) |
(/ 1 b) |
(+ (* 2 (/ (* a c) (pow b 3))) (/ 1 b)) |
(+ (* a (+ (* -1/2 (* a (* b (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))))) (* 2 (/ c (pow b 3))))) (/ 1 b)) |
(+ (* a (+ (* 2 (/ c (pow b 3))) (* a (+ (* -1/2 (* a (* b (+ (* -64 (/ (pow c 3) (pow b 8))) (* -2 (/ (* c (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))) (pow b 2))))))) (* -1/2 (* b (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6)))))))))) (/ 1 b)) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -4 (* a c)) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ b a)))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (/ b a))))) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ b a)))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (/ b a))))) |
(* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) |
(+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (* c (pow (sqrt -4) 2))))) |
(- (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow a 2)))) (/ b (* c (pow (sqrt -4) 2)))) |
(- (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4)))) (pow a 3)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3))) (/ b (* c (pow (sqrt -4) 2)))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(/ -1/2 a) |
(/ -1/2 a) |
(/ -1/2 a) |
(/ -1/2 a) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) |
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -4 (* a c)) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(/ -1/4 (* a c)) |
(/ (- (* -1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))) a) |
(/ (- (* -1/64 (/ (pow b 4) (* (pow a 2) (pow c 3)))) (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c)))) a) |
(/ (- (* -1/256 (/ (pow b 6) (* (pow a 3) (pow c 4)))) (+ (* 1/64 (/ (pow b 4) (* (pow a 2) (pow c 3)))) (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))))) a) |
(* (sqrt (/ 1 (* a c))) (sqrt -1/4)) |
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))) |
(+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4)))) |
(+ (* -1/2 (* (sqrt (/ c (pow a 7))) (/ (+ (* 1/1024 (/ (* a (pow b 4)) (* (pow c 3) (pow (sqrt -1/4) 2)))) (* 1/256 (/ (pow b 6) (pow c 4)))) (sqrt -1/4)))) (+ (* -1/32 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -1/4)))) (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -1/4)))) (* (sqrt (/ 1 (* a c))) (sqrt -1/4))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(* -4 (* a c)) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* 1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/2 b) (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(/ b a) |
(/ b a) |
(/ b a) |
(/ b a) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* 1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/2 b) (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* -1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* 1/2 (* (sqrt (/ a c)) (sqrt -1))) |
(+ (* 1/4 (/ b c)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) |
(+ (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ a (pow c 3))) (* (pow b 2) (sqrt -1))))) (* 1/4 (/ (* a b) c))) a)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/32 (/ (* a (pow b 3)) (pow c 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b 2) (sqrt -1)))))) a)) (* 1/4 (/ (* a b) c))) a)) (* 1/2 (* (sqrt (/ a c)) (sqrt -1)))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (- (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (+ b (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(/ -1/2 a) |
(/ -1/2 a) |
(/ -1/2 a) |
(/ -1/2 a) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(* -4 (* a c)) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(/ -1/4 (* a c)) |
(* -1 (/ (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))) a)) |
(* -1 (/ (+ (* -1 (/ (- (* -1/64 (/ (pow b 4) (* a (pow c 3)))) (* 1/16 (/ (pow b 2) (pow c 2)))) a)) (* 1/4 (/ 1 c))) a)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow b 6) (* a (pow c 4)))) (* -1/64 (/ (pow b 4) (pow c 3)))) a)) (* 1/16 (/ (pow b 2) (pow c 2)))) a)) (* 1/4 (/ 1 c))) a)) |
(* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) |
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))) |
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ a (pow c 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1/256 (/ (* a (pow b 4)) (pow c 3))) (* 1/256 (/ (pow b 6) (pow c 4))))))) (pow a 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
| Outputs |
|---|
(* -1 (/ b a)) |
(/.f64 (neg.f64 b) a) |
(+ (* -1 (/ b a)) (/ c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(fma.f64 (fma.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a)) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal 2 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a)) |
(* 2 b) |
(*.f64 #s(literal 2 binary64) b) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) b)) |
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 a b) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))))) c (*.f64 #s(literal 2 binary64) b)) |
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c (*.f64 #s(literal 2 binary64) b)) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 a b) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))))) c b) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c b) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(/ c b) |
(/.f64 c b) |
(* c (+ (/ 1 b) (/ (* a c) (pow b 3)))) |
(*.f64 (fma.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b)) c) |
(* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal 2 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal 1 binary64) b)) c) |
(* c (+ (* c (+ (* c (+ (* 1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))) (* 2 (/ (pow a 2) (pow b 5))))) (/ a (pow b 3)))) (/ 1 b))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) c) a) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 a (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal 1 binary64) b)) c) |
(/ c b) |
(/.f64 c b) |
(* c (+ (/ 1 b) (/ (* a c) (pow b 3)))) |
(*.f64 (fma.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b)) c) |
(* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal 2 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal 1 binary64) b)) c) |
(* c (+ (* c (+ (* c (+ (* 1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))) (* 2 (/ (pow a 2) (pow b 5))))) (/ a (pow b 3)))) (/ 1 b))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) c) a) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 a (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal 1 binary64) b)) c) |
(* 1/2 (/ b c)) |
(*.f64 (/.f64 b c) #s(literal 1/2 binary64)) |
(/ (+ (* -1/2 (/ (* a c) b)) (* 1/2 b)) c) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal 1/2 binary64) b)) c) |
(/ (+ (* 1/2 b) (* c (- (* -1 (* c (+ (* -1/2 (/ (pow a 2) (pow b 3))) (/ (pow a 2) (pow b 3))))) (* 1/2 (/ a b))))) c) |
(/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64))) c (*.f64 #s(literal -1/2 binary64) (/.f64 a b))) c (*.f64 #s(literal 1/2 binary64) b)) c) |
(/ (+ (* 1/2 b) (* c (- (* c (- (* -1 (* c (+ (* -1 (/ (* a (+ (* -1/2 (/ (pow a 2) (pow b 3))) (/ (pow a 2) (pow b 3)))) (pow b 2))) (+ (* -1 (/ (pow a 3) (pow b 5))) (* 1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) a)))))) (+ (* -1/2 (/ (pow a 2) (pow b 3))) (/ (pow a 2) (pow b 3))))) (* 1/2 (/ a b))))) c) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 c) (fma.f64 (neg.f64 a) (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64)))) (*.f64 b b)) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) a)) #s(literal 1/8 binary64) (/.f64 (neg.f64 (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64))))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 #s(literal -1/2 binary64) (/.f64 a b))) c (*.f64 #s(literal 1/2 binary64) b)) c) |
(* 2 (/ (* a c) b)) |
(*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) |
(* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal 2 binary64) (*.f64 (/.f64 a b) #s(literal 2 binary64))) c) |
(* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64))) c (*.f64 (/.f64 a b) #s(literal 2 binary64))) c) |
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)) (* -4 (/ (pow a 3) (pow b 5))))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) #s(literal 1/2 binary64) (*.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) #s(literal 4 binary64))) c (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64))) c (*.f64 (/.f64 a b) #s(literal 2 binary64))) c) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 a b) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))))) c b) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c b) |
(* -1 (/ b a)) |
(/.f64 (neg.f64 b) a) |
(+ (* -1 (/ b a)) (/ c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(fma.f64 (fma.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a)) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal 2 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a)) |
(* 2 b) |
(*.f64 #s(literal 2 binary64) b) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) b)) |
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 a b) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))))) c (*.f64 #s(literal 2 binary64) b)) |
(+ (* 2 b) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c (*.f64 #s(literal 2 binary64) b)) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 a b) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))))) c b) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c b) |
(* -1 (/ b a)) |
(/.f64 (neg.f64 b) a) |
(+ (* -1 (/ b a)) (/ c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(fma.f64 (fma.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a)) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal 2 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a)) |
(* -2 b) |
(*.f64 #s(literal -2 binary64) b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))) |
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b)) |
(fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal 2 binary64) (*.f64 (/.f64 a b) #s(literal 2 binary64))) c (*.f64 #s(literal -2 binary64) b)) |
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64))) c (*.f64 (/.f64 a b) #s(literal 2 binary64))) c (*.f64 #s(literal -2 binary64) b)) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 a b) (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))))) c b) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c b) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(/ 1 (pow b 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 b b)) |
(+ (* 4 (/ (* a c) (pow b 4))) (/ 1 (pow b 2))) |
(fma.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 4 binary64)))) #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b))) |
(+ (* c (- (* 16 (/ (* (pow a 2) c) (pow b 6))) (* -4 (/ a (pow b 4))))) (/ 1 (pow b 2))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 a a) (/.f64 c (pow.f64 b #s(literal 6 binary64)))) #s(literal 16 binary64) (*.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) #s(literal 4 binary64))) c (/.f64 #s(literal 1 binary64) (*.f64 b b))) |
(+ (* c (- (* c (- (* 64 (/ (* (pow a 3) c) (pow b 8))) (* -16 (/ (pow a 2) (pow b 6))))) (* -4 (/ a (pow b 4))))) (/ 1 (pow b 2))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 c (pow.f64 b #s(literal 8 binary64)))) #s(literal 64 binary64) (*.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 6 binary64))) #s(literal 16 binary64))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 4 binary64))) #s(literal 4 binary64))) c (/.f64 #s(literal 1 binary64) (*.f64 b b))) |
(/ 1 b) |
(/.f64 #s(literal 1 binary64) b) |
(+ (* 2 (/ (* a c) (pow b 3))) (/ 1 b)) |
(fma.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) b)) |
(+ (* c (+ (* -1/2 (* b (* c (+ (* -16 (/ (pow a 2) (pow b 6))) (* 4 (/ (pow a 2) (pow b 6))))))) (* 2 (/ a (pow b 3))))) (/ 1 b)) |
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(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal -1/2 binary64)) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (/.f64 b a) c))) c) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
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(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) |
(* c (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))) |
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(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) |
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(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
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(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
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(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal -1/2 binary64)) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c))))) |
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(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ b (* a c)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (sqrt.f64 #s(literal -4 binary64)) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/4 binary64) (*.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64)))) c) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (/ b (* a c))))))) |
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(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal -1/2 binary64)) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* 1/2 (/ b (* a c))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64))) #s(literal -1/2 binary64) (*.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64))) c) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ b (* a c)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (sqrt.f64 #s(literal -4 binary64)) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/4 binary64) (*.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64)))) c) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (/ b (* a c))))))) |
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(* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) |
(/.f64 (sqrt.f64 (/.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -4 binary64)))) |
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (pow (sqrt -4) 2)))) c) |
(/.f64 (-.f64 (/.f64 b #s(literal 4 binary64)) (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) c) |
(/ (- (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow c 2)))) (/ b (pow (sqrt -4) 2))) c) |
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(/ (- (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -4) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4)))) (pow c 3)))) (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (pow (sqrt -4) 3))) (/ b (pow (sqrt -4) 2))))) c) |
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(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (*.f64 c a))) |
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -4)))) |
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(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
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(* (sqrt (* a c)) (sqrt -4)) |
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(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64))))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))))) c) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
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(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
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(* (sqrt (* a c)) (sqrt -4)) |
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(* (sqrt (* a c)) (sqrt -4)) |
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(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
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(* -1 (* (sqrt (* a c)) (sqrt -4))) |
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(* (sqrt (* a c)) (sqrt -4)) |
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(* -4 (* a c)) |
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(* (sqrt (/ 1 (* a c))) (sqrt -1/4)) |
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(* (sqrt (/ c a)) (sqrt -1)) |
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(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) |
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(/ -1/2 a) |
(/.f64 #s(literal -1/2 binary64) a) |
(/ -1/2 a) |
(/.f64 #s(literal -1/2 binary64) a) |
(/ -1/2 a) |
(/.f64 #s(literal -1/2 binary64) a) |
(* 2 b) |
(*.f64 #s(literal 2 binary64) b) |
(+ (* -2 (/ (* a c) b)) (* 2 b)) |
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) b)) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a (*.f64 #s(literal 2 binary64) b)) |
(+ (* 2 b) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a (*.f64 #s(literal 2 binary64) b)) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a b) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a b) |
(* -1 (/ b a)) |
(/.f64 (neg.f64 b) a) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/.f64 (fma.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)) a (neg.f64 b)) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) #s(literal 2 binary64) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 c b)) a (neg.f64 b)) a) |
(* -2 b) |
(*.f64 #s(literal -2 binary64) b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 c b) (neg.f64 b))) |
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b)) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 c b))) a (*.f64 #s(literal -2 binary64) b)) |
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b)) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) #s(literal 4 binary64) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64))) a (*.f64 #s(literal 2 binary64) (/.f64 c b))) a (*.f64 #s(literal -2 binary64) b)) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64) b) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a b) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a b) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(/ 1 (pow b 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 b b)) |
(+ (* 4 (/ (* a c) (pow b 4))) (/ 1 (pow b 2))) |
(fma.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 4 binary64)))) #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 b b))) |
(+ (* a (- (* 16 (/ (* a (pow c 2)) (pow b 6))) (* -4 (/ c (pow b 4))))) (/ 1 (pow b 2))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 6 binary64))) #s(literal 16 binary64) (*.f64 (/.f64 c (pow.f64 b #s(literal 4 binary64))) #s(literal 4 binary64))) a (/.f64 #s(literal 1 binary64) (*.f64 b b))) |
(+ (* a (- (* a (- (* 64 (/ (* a (pow c 3)) (pow b 8))) (* -16 (/ (pow c 2) (pow b 6))))) (* -4 (/ c (pow b 4))))) (/ 1 (pow b 2))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 8 binary64))) #s(literal 64 binary64) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 6 binary64))) #s(literal 16 binary64))) a (*.f64 (/.f64 c (pow.f64 b #s(literal 4 binary64))) #s(literal 4 binary64))) a (/.f64 #s(literal 1 binary64) (*.f64 b b))) |
(/ 1 b) |
(/.f64 #s(literal 1 binary64) b) |
(+ (* 2 (/ (* a c) (pow b 3))) (/ 1 b)) |
(fma.f64 #s(literal 2 binary64) (*.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) b)) |
(+ (* a (+ (* -1/2 (* a (* b (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))))) (* 2 (/ c (pow b 3))))) (/ 1 b)) |
(fma.f64 (fma.f64 (*.f64 (*.f64 a b) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 6 binary64))) #s(literal -12 binary64))) #s(literal -1/2 binary64) (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64))) a (/.f64 #s(literal 1 binary64) b)) |
(+ (* a (+ (* 2 (/ c (pow b 3))) (* a (+ (* -1/2 (* a (* b (+ (* -64 (/ (pow c 3) (pow b 8))) (* -2 (/ (* c (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6))))) (pow b 2))))))) (* -1/2 (* b (+ (* -16 (/ (pow c 2) (pow b 6))) (* 4 (/ (pow c 2) (pow b 6)))))))))) (/ 1 b)) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 a b) (fma.f64 (/.f64 #s(literal -2 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 6 binary64))) #s(literal -12 binary64)) c) b) (/.f64 (*.f64 #s(literal -64 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 8 binary64)))) (*.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 6 binary64))) #s(literal -12 binary64)) b))) a (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64))) a (/.f64 #s(literal 1 binary64) b)) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal -1/2 binary64)) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)) (*.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) #s(literal 1/16 binary64)))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) |
(* a (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))) |
(*.f64 (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)) a) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a))) a) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))) a) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)))) a) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))))) a) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)))))) a) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(*.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (*.f64 b b) a)) a) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(*.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (*.f64 b b) a)) a) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(*.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (*.f64 b b) a)) a) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal -1/2 binary64)) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a))) |
(fma.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ b a)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -4 binary64)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 b a)))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (/ b a))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -4 binary64)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 b a))))) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(/ b a) |
(/.f64 b a) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal -1/2 binary64)) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* 1/2 (/ b a))) |
(fma.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (/ b a)))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -4 binary64)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 b a)))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 1/2 (/ b a))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -4 binary64)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 b a))))) |
(* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) |
(/.f64 (sqrt.f64 (/.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -4 binary64)))) |
(+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ b (* c (pow (sqrt -4) 2))))) |
(-.f64 (*.f64 (/.f64 b c) #s(literal 1/4 binary64)) (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))) |
(- (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow a 2)))) (/ b (* c (pow (sqrt -4) 2)))) |
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(* (sqrt (/ c a)) (sqrt -1)) |
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(/ b a) |
(/.f64 b a) |
(/ b a) |
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(/ b a) |
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(/ b a) |
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(* 2 (* (sqrt (* a c)) (sqrt -1))) |
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(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 #s(literal 1/2 binary64) b)) (neg.f64 a))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 #s(literal 1/2 binary64) b (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (*.f64 #s(literal -1/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))))) (neg.f64 a))) (neg.f64 a))) |
(/ -1/2 a) |
(/.f64 #s(literal -1/2 binary64) a) |
(/ -1/2 a) |
(/.f64 #s(literal -1/2 binary64) a) |
(/ -1/2 a) |
(/.f64 #s(literal -1/2 binary64) a) |
(/ -1/2 a) |
(/.f64 #s(literal -1/2 binary64) a) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))) #s(literal -2 binary64)) |
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 2 binary64) (/.f64 (neg.f64 b) a))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) b) (neg.f64 a)))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 b (/.f64 (fma.f64 (*.f64 #s(literal -1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)))) a)) (neg.f64 a)))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))) #s(literal -2 binary64)) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/64 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/64 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) #s(literal 1/512 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 #s(literal 1/2 binary64) b)) (neg.f64 a))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 #s(literal 1/2 binary64) b (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (*.f64 #s(literal -1/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))))) (neg.f64 a))) (neg.f64 a))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))) #s(literal 2 binary64)) |
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (neg.f64 a) (-.f64 (/.f64 b a) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 2 binary64)))) |
(* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (neg.f64 a) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (neg.f64 b)) a) #s(literal -1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal -2 binary64)))) |
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (neg.f64 a) (fma.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/4 binary64))) (neg.f64 a)) b) a) #s(literal -1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal -2 binary64)))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))) #s(literal -2 binary64)) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/64 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/64 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) #s(literal 1/512 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))))))) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 c a)) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(*.f64 (neg.f64 a) (fma.f64 #s(literal 4 binary64) c (/.f64 (*.f64 b b) (neg.f64 a)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(*.f64 (neg.f64 a) (fma.f64 #s(literal 4 binary64) c (/.f64 (*.f64 b b) (neg.f64 a)))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(*.f64 (neg.f64 a) (fma.f64 #s(literal 4 binary64) c (/.f64 (*.f64 b b) (neg.f64 a)))) |
(/ -1/4 (* a c)) |
(/.f64 #s(literal -1/4 binary64) (*.f64 c a)) |
(* -1 (/ (+ (* 1/16 (/ (pow b 2) (* a (pow c 2)))) (* 1/4 (/ 1 c))) a)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 c c)) (/.f64 (*.f64 b b) a) (/.f64 #s(literal 1/4 binary64) c)) (neg.f64 a)) |
(* -1 (/ (+ (* -1 (/ (- (* -1/64 (/ (pow b 4) (* a (pow c 3)))) (* 1/16 (/ (pow b 2) (pow c 2)))) a)) (* 1/4 (/ 1 c))) a)) |
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) c) (/.f64 (fma.f64 (/.f64 #s(literal -1/64 binary64) (pow.f64 c #s(literal 3 binary64))) (/.f64 (pow.f64 b #s(literal 4 binary64)) a) (*.f64 (*.f64 (/.f64 b c) (/.f64 b c)) #s(literal -1/16 binary64))) a)) (neg.f64 a)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 1/256 (/ (pow b 6) (* a (pow c 4)))) (* -1/64 (/ (pow b 4) (pow c 3)))) a)) (* 1/16 (/ (pow b 2) (pow c 2)))) a)) (* 1/4 (/ 1 c))) a)) |
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) c) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/256 binary64) (pow.f64 c #s(literal 4 binary64))) (/.f64 (pow.f64 b #s(literal 6 binary64)) a) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 c #s(literal 3 binary64))) #s(literal 1/64 binary64))) a) #s(literal -1 binary64) (*.f64 (*.f64 (/.f64 b c) (/.f64 b c)) #s(literal -1/16 binary64))) a)) (neg.f64 a)) |
(* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) #s(literal 1/2 binary64)) |
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/16 binary64))) |
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/16 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64))))) #s(literal -1/64 binary64)))) |
(+ (* -1 (/ (+ (* 1/64 (* (sqrt (/ a (pow c 5))) (* (pow b 4) (sqrt -1)))) (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1/256 (/ (* a (pow b 4)) (pow c 3))) (* 1/256 (/ (pow b 6) (pow c 4))))))) (pow a 3))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(-.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/16 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal 1/64 binary64) (sqrt.f64 (/.f64 a (pow.f64 c #s(literal 5 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) a) (pow.f64 c #s(literal 3 binary64))) #s(literal -1/256 binary64) (/.f64 (*.f64 #s(literal 1/256 binary64) (pow.f64 b #s(literal 6 binary64))) (pow.f64 c #s(literal 4 binary64)))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)))) (pow.f64 a #s(literal 3 binary64)))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 283 |
| 0 | 72 | 273 |
| 1 | 303 | 270 |
| 2 | 1878 | 270 |
| 0 | 8252 | 270 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) |
(+.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
#s(approx (/ 1/2 (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (/.f64 b a)) |
(/.f64 b a) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b))))) |
(/.f64 a (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)))) |
(-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b))) |
#s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) |
(/.f64 #s(literal -1/2 binary64) a) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) |
(/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* -4 (* c a)) (* b b))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a)))))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* -4 (* c a)) (* b b))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a)))))) |
(neg.f64 b) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* -4 (* c a)) (* b b))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a))))) |
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) |
#s(approx (/ 1 (+ (* -4 (* c a)) (* b b))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a))) |
(sqrt.f64 #s(approx (/ 1 (+ (* -4 (* c a)) (* b b))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a)))) |
| Outputs |
|---|
#<batchref> |
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Compiled 61 014 to 5 382 computations (91.2% saved)
28 alts after pruning (22 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 155 | 9 | 2 164 |
| Fresh | 2 | 13 | 15 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 2 160 | 28 | 2 188 |
| Status | Accuracy | Program |
|---|---|---|
| 57.0% | (fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) a) #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) a) b)) | |
| 38.3% | (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a)) | |
| 26.9% | (/.f64 (fma.f64 b b (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a))) | |
| 33.6% | (/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) (*.f64 #s(literal 2 binary64) a)) | |
| 35.0% | (/.f64 (-.f64 b (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* -4 (* c a)) (* b b))) (/.f64 #s(literal -1/4 binary64) (*.f64 a c)))))) (*.f64 #s(literal -2 binary64) a)) | |
| ✓ | 58.6% | (/.f64 (+.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) |
| 36.8% | (/.f64 (+.f64 b (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal -2 binary64) a)) | |
| 53.6% | (/.f64 (+.f64 b (exp.f64 (log.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) (*.f64 #s(literal -2 binary64) a)) | |
| 27.1% | (/.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) | |
| 36.6% | (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) | |
| 27.0% | (/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) | |
| 2.4% | (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b))) a))) | |
| 9.5% | (/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 a b) (*.f64 (/.f64 b c) #s(literal 1/2 binary64))))) | |
| 9.5% | (/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (*.f64 (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) c)) b))) | |
| 2.4% | (*.f64 (/.f64 (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b))) a) #s(literal 1/2 binary64)) | |
| 36.8% | (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) b)) | |
| 39.5% | (*.f64 (/.f64 #s(literal -1/2 binary64) a) #s(approx (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 #s(literal 2 binary64) b))) | |
| 39.6% | #s(approx (/ (- (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/.f64 (neg.f64 b) a)) | |
| ✓ | 31.9% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (*.f64 (/.f64 c b) a) (/.f64 c b) c) (neg.f64 b))) |
| 22.5% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)))) | |
| ✓ | 32.1% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) |
| 31.4% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c))) | |
| ✓ | 39.6% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
| 32.0% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) | |
| 17.5% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 b) c)) #s(literal -1 binary64)))) | |
| ✓ | 9.3% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (- (/ c b) (/ b a)) (/.f64 c b))) |
| ✓ | 2.4% | #s(approx (/ 1/2 (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (/.f64 b a)) |
| 2.4% | #s(approx (/ 1/2 (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) a))) |
Compiled 981 to 491 computations (49.9% saved)
| Inputs |
|---|
#s(approx (/ 1/2 (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (/.f64 b a)) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (- (/ c b) (/ b a)) (/.f64 c b))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (- (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) |
#s(approx (/ 1/2 (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) a))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) #s(approx (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 #s(literal 2 binary64) b))) |
(*.f64 (/.f64 (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b))) a) #s(literal 1/2 binary64)) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c))) |
(/.f64 (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (neg.f64 b) #s(approx (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b))))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b))))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b))) a))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) b)) |
(/.f64 (+.f64 b (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 a b) (*.f64 (/.f64 b c) #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) |
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (fma.f64 (*.f64 (/.f64 c b) a) (/.f64 c b) c) (neg.f64 b))) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (*.f64 (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) c)) b))) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))))) |
(/.f64 (-.f64 b (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* -4 (* c a)) (* b b))) (/.f64 #s(literal -1/4 binary64) (*.f64 a c)))))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(approx (/ 1 (+ (* -4 (* c a)) (* b b))) (/.f64 #s(literal -1/4 binary64) (*.f64 c a)))))) (*.f64 #s(literal 2 binary64) a)) |
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) a) #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) a) b)) |
(/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b))) #s(literal -1/2 binary64)) a (*.f64 a (*.f64 b #s(literal -1/2 binary64)))) (*.f64 a a)) |
(/.f64 (-.f64 (/.f64 (neg.f64 b) a) (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) a)) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 b #s(literal -1/2 binary64)) a) (*.f64 a (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) #s(literal 1/2 binary64)))) (*.f64 a a)) |
(/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (fma.f64 b b (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a))) |
(/.f64 (-.f64 (neg.f64 b) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) b) (/.f64 a b) (*.f64 c a)) #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (/.f64 #s(literal 1/2 binary64) a)) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) b)) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 b) c)) #s(literal -1 binary64)))) |
(/.f64 (+.f64 b (exp.f64 (log.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -4 binary64)) (*.f64 b b)))))) (*.f64 #s(literal -2 binary64) a)) |
| Outputs |
|---|
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) |
(/.f64 (+.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
4 calls:
| 39.0ms | c |
| 33.0ms | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
| 17.0ms | a |
| 13.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.6% | 1 | a |
| 89.5% | 3 | b |
| 58.6% | 1 | c |
| 80.2% | 5 | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
Compiled 20 to 23 computations (-15% saved)
| Inputs |
|---|
#s(approx (/ 1/2 (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (/.f64 b a)) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (- (/ c b) (/ b a)) (/.f64 c b))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (- (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) |
#s(approx (/ 1/2 (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) a))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) #s(approx (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 #s(literal 2 binary64) b))) |
(*.f64 (/.f64 (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b))) a) #s(literal 1/2 binary64)) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c))) |
(/.f64 (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (neg.f64 b) #s(approx (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b))))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b))))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b))) a))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) b)) |
(/.f64 (+.f64 b (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 a b) (*.f64 (/.f64 b c) #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b (sqrt.f64 #s(approx (+ (* -4 (* c a)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))))) |
| Outputs |
|---|
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
1 calls:
| 8.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.4% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ 1/2 (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (/.f64 b a)) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (- (/ c b) (/ b a)) (/.f64 c b))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (- (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) |
#s(approx (/ 1/2 (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) a))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) #s(approx (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 #s(literal 2 binary64) b))) |
(*.f64 (/.f64 (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b))) a) #s(literal 1/2 binary64)) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c))) |
(/.f64 (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (neg.f64 b) #s(approx (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b))))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b))))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b))) a))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) b)) |
(/.f64 (+.f64 b (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(literal 1/2 binary64) #s(approx (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 a b) (*.f64 (/.f64 b c) #s(literal 1/2 binary64))))) |
| Outputs |
|---|
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) |
(/.f64 (+.f64 b (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal -2 binary64) a)) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
1 calls:
| 7.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.4% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ 1/2 (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (/.f64 b a)) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (- (/ c b) (/ b a)) (/.f64 c b))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (- (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) |
#s(approx (/ 1/2 (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) a))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) #s(approx (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 #s(literal 2 binary64) b))) |
(*.f64 (/.f64 (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b))) a) #s(literal 1/2 binary64)) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c))) |
(/.f64 (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (neg.f64 b) #s(approx (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b))))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b))))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b))) a))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) b)) |
| Outputs |
|---|
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) b)) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
1 calls:
| 6.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.4% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ 1/2 (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (/.f64 b a)) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (- (/ c b) (/ b a)) (/.f64 c b))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (- (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) |
#s(approx (/ 1/2 (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) a))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) #s(approx (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 #s(literal 2 binary64) b))) |
(*.f64 (/.f64 (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b))) a) #s(literal 1/2 binary64)) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c))) |
(/.f64 (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (neg.f64 b) #s(approx (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b))))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 a (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b))))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (+.f64 #s(literal 0 binary64) b)))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b))) a))) |
| Outputs |
|---|
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
2 calls:
| 70.0ms | b |
| 5.0ms | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.1% | 3 | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
| 69.4% | 2 | b |
Compiled 18 to 17 computations (5.6% saved)
| Inputs |
|---|
#s(approx (/ 1/2 (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (/.f64 b a)) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (- (/ c b) (/ b a)) (/.f64 c b))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (- (neg b) (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b)))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (- (neg b) (/ (+ (* -4 (* c a)) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (*.f64 (/.f64 #s(literal -1 binary64) b) c)) |
#s(approx (/ 1/2 (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (*.f64 (neg.f64 b) (/.f64 #s(literal -1 binary64) a))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) a) #s(approx (+ (sqrt (+ (* (* c a) -4) (* b b))) b) (*.f64 #s(literal 2 binary64) b))) |
(*.f64 (/.f64 (-.f64 b #s(approx (sqrt (+ (* -4 (* c a)) (* b b))) (neg.f64 b))) a) #s(literal 1/2 binary64)) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 #s(literal -1 binary64) (/.f64 b c))) |
(/.f64 (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (neg.f64 b) #s(approx (/ 1 (sqrt (/ 1 (+ (* -4 (* c a)) (* b b))))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) |
| Outputs |
|---|
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
1 calls:
| 5.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.2% | 2 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ 1/2 (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (/.f64 b a)) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (- (/ c b) (/ b a)) (/.f64 c b))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) |
| Outputs |
|---|
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) |
4 calls:
| 2.0ms | c |
| 2.0ms | a |
| 2.0ms | b |
| 2.0ms | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 32.1% | 1 | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
| 32.1% | 1 | a |
| 32.1% | 1 | c |
| 32.1% | 1 | b |
Compiled 20 to 23 computations (-15% saved)
| Inputs |
|---|
#s(approx (/ 1/2 (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (/.f64 b a)) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (- (/ c b) (/ b a)) (/.f64 c b))) |
| Outputs |
|---|
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (- (/ c b) (/ b a)) (/.f64 c b))) |
4 calls:
| 12.0ms | b |
| 2.0ms | c |
| 2.0ms | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
| 2.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 9.3% | 1 | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
| 9.3% | 1 | b |
| 9.3% | 1 | c |
| 9.3% | 1 | a |
Compiled 20 to 23 computations (-15% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (/ 1/2 (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (/.f64 b a)) |
| Outputs |
|---|
#s(approx (/ 1/2 (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (/.f64 b a)) |
4 calls:
| 1.0ms | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
| 1.0ms | a |
| 1.0ms | c |
| 1.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 2.4% | 1 | a |
| 2.4% | 1 | b |
| 2.4% | 1 | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
| 2.4% | 1 | c |
Compiled 20 to 23 computations (-15% saved)
| 2× | binary-search |
| 1× | predicate-same |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 2.0ms | 1.5443885175729945e+125 | 2.818529128176793e+131 |
| 18.0ms | -5.6510777719679996e-92 | -2.673928706862126e-93 |
| 7.0ms | 96× | 0 | valid |
| 3.0ms | 17× | 2 | valid |
| 2.0ms | 15× | 1 | valid |
| 2.0ms | 23× | 0 | invalid |
Compiled 183 to 181 computations (1.1% saved)
ival-mult: 4.0ms (39.1% of total)ival-sub: 2.0ms (19.6% of total)adjust: 1.0ms (9.8% of total)ival-div: 1.0ms (9.8% of total)ival-sqrt: 1.0ms (9.8% of total)ival-neg: 1.0ms (9.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 1.5443885175729945e+125 | 2.818529128176793e+131 |
| 12.0ms | -5.6510777719679996e-92 | -2.673928706862126e-93 |
| 10.0ms | 128× | 0 | valid |
| 0.0ms | 3× | 0 | invalid |
Compiled 367 to 349 computations (4.9% saved)
ival-mult: 3.0ms (43.6% of total)ival-sub: 1.0ms (14.5% of total)ival-div: 1.0ms (14.5% of total)ival-sqrt: 1.0ms (14.5% of total)ival-neg: 1.0ms (14.5% of total)ival-true: 0.0ms (0% of total)exact: 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 | 8.676564093124388e-70 | 2.1766833874561627e-69 |
| 1.0ms | -5.6510777719679996e-92 | -2.673928706862126e-93 |
| 6.0ms | 80× | 0 | valid |
| 2.0ms | 23× | 0 | invalid |
Compiled 236 to 260 computations (-10.2% saved)
ival-mult: 2.0ms (36.5% of total)ival-sub: 1.0ms (18.3% of total)ival-div: 1.0ms (18.3% of total)ival-sqrt: 1.0ms (18.3% of total)ival-neg: 1.0ms (18.3% of total)ival-true: 0.0ms (0% of total)exact: 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 | 8.676564093124388e-70 | 2.1766833874561627e-69 |
| 1.0ms | -5.6510777719679996e-92 | -2.673928706862126e-93 |
Compiled 236 to 260 computations (-10.2% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 31.0ms | -1.2162521839894262e-300 | 4.6416677085472137e-293 |
| 14.0ms | 176× | 0 | valid |
| 7.0ms | 83× | 0 | invalid |
Compiled 163 to 185 computations (-13.5% saved)
ival-mult: 6.0ms (44.2% of total)ival-sub: 2.0ms (14.7% of total)ival-div: 2.0ms (14.7% of total)ival-sqrt: 2.0ms (14.7% of total)ival-neg: 1.0ms (7.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 37.0ms | -5.358799435945257e-300 | -1.9329367059894008e-300 |
| 27.0ms | 48× | 0 | invalid |
| 6.0ms | 80× | 0 | valid |
Compiled 70 to 90 computations (-28.6% saved)
ival-mult: 3.0ms (44.3% of total)ival-sub: 1.0ms (14.8% of total)ival-div: 1.0ms (14.8% of total)ival-sqrt: 1.0ms (14.8% of total)ival-neg: 1.0ms (14.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 88 | 458 |
| 1 | 106 | 458 |
| 2 | 117 | 458 |
| 3 | 126 | 458 |
| 4 | 132 | 458 |
| 5 | 134 | 458 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 b #s(literal -32108980623861/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 199999999999999984973552323798576408508934173966967692287845194445058839995158605320632698752563530750306011682731106456567808 binary64)) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))))) |
(if (<=.f64 b #s(literal -32108980623861/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 360000000000000033075084301847568169286784790947569746935594602054094602097934360801689900688590508021245179678994789239357440 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))))) |
(if (<=.f64 b #s(literal -32108980623861/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 8353476236570635/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352 binary64)) (/.f64 (+.f64 b (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal -2 binary64) a)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)))) |
(if (<=.f64 b #s(literal -32108980623861/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 8353476236570635/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) b)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)))) |
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))) |
(if (<=.f64 b #s(literal -6032057205060441/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (- (/ c b) (/ b a)) (/.f64 c b))) |
#s(approx (/ 1/2 (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (/.f64 b a)) |
| Outputs |
|---|
(if (<=.f64 b #s(literal -32108980623861/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 199999999999999984973552323798576408508934173966967692287845194445058839995158605320632698752563530750306011682731106456567808 binary64)) (/.f64 (+.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))))) |
(if (<=.f64 b #s(literal -32108980623861/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 199999999999999984973552323798576408508934173966967692287845194445058839995158605320632698752563530750306011682731106456567808 binary64)) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b))) b) (*.f64 #s(literal -2 binary64) a)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))))) |
(if (<=.f64 b #s(literal -32108980623861/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 360000000000000033075084301847568169286784790947569746935594602054094602097934360801689900688590508021245179678994789239357440 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))))) |
(if (<=.f64 b #s(literal -32108980623861/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 360000000000000033075084301847568169286784790947569746935594602054094602097934360801689900688590508021245179678994789239357440 binary64)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) (/.f64 #s(literal -1/2 binary64) a)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))))) |
(if (<=.f64 b #s(literal -32108980623861/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 8353476236570635/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352 binary64)) (/.f64 (+.f64 b (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 c a))))) (*.f64 #s(literal -2 binary64) a)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)))) |
(if (<=.f64 b #s(literal -32108980623861/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 8353476236570635/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352 binary64)) (/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* a c) -4) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b) (*.f64 #s(literal -2 binary64) a)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)))) |
(if (<=.f64 b #s(literal -32108980623861/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 8353476236570635/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (+.f64 (sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) b)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)))) |
(if (<=.f64 b #s(literal -32108980623861/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 8353476236570635/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352 binary64)) (*.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 (*.f64 a c) #s(literal -4 binary64)))) b) (/.f64 #s(literal -1/2 binary64) a)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)))) |
(if (<=.f64 b #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a)))) |
(if (<=.f64 b #s(literal -6032057205060441/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) #s(approx (- (/ c b) (/ b a)) (/.f64 c b))) |
#s(approx (/ 1/2 (/ a (- b (sqrt (+ (* -4 (* c a)) (* b b)))))) (/.f64 b a)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1057 | 14401 |
| 1 | 3469 | 14136 |
| 0 | 8146 | 13490 |
| 0 | 51 | 266 |
| 0 | 74 | 246 |
| 1 | 320 | 233 |
| 2 | 2357 | 224 |
| 0 | 9261 | 224 |
| 0 | 14 | 51 |
| 0 | 23 | 51 |
| 1 | 81 | 51 |
| 2 | 591 | 48 |
| 0 | 8093 | 44 |
| 0 | 952 | 12292 |
| 1 | 3045 | 12122 |
| 0 | 8750 | 11592 |
| 0 | 545 | 3138 |
| 1 | 1718 | 3109 |
| 2 | 5763 | 3070 |
| 0 | 8125 | 2910 |
| 0 | 1387 | 16409 |
| 1 | 4535 | 16164 |
| 0 | 8077 | 15419 |
| 0 | 41 | 240 |
| 0 | 66 | 225 |
| 1 | 279 | 216 |
| 2 | 1984 | 216 |
| 0 | 8165 | 213 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 496 to 292 computations (41.1% saved)
Compiled 602 to 208 computations (65.4% saved)
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