
Time bar (total: 7.0s)
| 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 14 computations (26.3% saved)
| 508.0ms | 5 489× | 0 | valid |
| 330.0ms | 1 408× | 1 | valid |
| 327.0ms | 1 156× | 2 | valid |
| 73.0ms | 957× | 0 | invalid |
| 56.0ms | 203× | 3 | valid |
ival-mult: 251.0ms (26.5% of total)ival-sqrt: 142.0ms (15% of total)ival-neg: 131.0ms (13.8% of total)ival-div: 125.0ms (13.2% of total)adjust: 116.0ms (12.2% of total)ival-add: 83.0ms (8.8% of total)ival-sub: 82.0ms (8.7% of total)ival-true: 7.0ms (0.7% of total)exact: 6.0ms (0.6% of total)ival-assert: 4.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 106 | 0 | - | 2 | (8.60066598514698e-168 -7.828427665932602e-156 -2.5756253339653957e-282) | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) |
| 54 | 0 | - | 0 | - | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
| 16 | 0 | - | 1 | (-3.6495496464162717e-234 1.727951462545675e-33 4.213211207090258e-112) | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 5 | 0 | - | 0 | - | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 #s(literal 3 binary64) a) c) |
| 0 | 0 | - | 0 | - | (*.f64 b b) |
| 0 | 0 | - | 0 | - | c |
| 0 | 0 | - | 0 | - | (neg.f64 b) |
| 0 | 0 | - | 0 | - | b |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 3 binary64) a) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) | oflow-rescue | 102 | 0 |
| ↳ | (*.f64 b b) | overflow | 82 | |
| ↳ | (*.f64 (*.f64 #s(literal 3 binary64) a) c) | overflow | 30 | |
| ↳ | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) | overflow | 102 | |
+.f64 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) | cancellation | 54 | 0 |
/.f64 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) | u/n | 15 | 0 |
| ↳ | (*.f64 (*.f64 #s(literal 3 binary64) a) c) | underflow | 28 | |
| ↳ | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) | underflow | 2 | |
| ↳ | (*.f64 b b) | underflow | 46 | |
| ↳ | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) | underflow | 24 | |
-.f64 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) | nan-rescue | 5 | 0 |
| ↳ | (*.f64 b b) | overflow | 82 | |
| ↳ | (*.f64 (*.f64 #s(literal 3 binary64) a) c) | overflow | 30 | |
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) | uflow-rescue | 2 | 0 |
| ↳ | (*.f64 b b) | underflow | 46 | |
| ↳ | (*.f64 (*.f64 #s(literal 3 binary64) a) c) | underflow | 28 | |
| ↳ | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) | underflow | 2 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 121 | 1 |
| - | 21 | 113 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 121 | 0 | 1 |
| - | 21 | 0 | 113 |
| number | freq |
|---|---|
| 0 | 114 |
| 1 | 109 |
| 2 | 30 |
| 3 | 3 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 29.0ms | 356× | 0 | valid |
| 25.0ms | 80× | 1 | valid |
| 17.0ms | 66× | 2 | valid |
| 3.0ms | 10× | 3 | valid |
Compiled 153 to 40 computations (73.9% saved)
adjust: 18.0ms (34.9% of total)ival-mult: 12.0ms (23.3% of total)ival-sqrt: 6.0ms (11.6% of total)ival-div: 5.0ms (9.7% of total)ival-sub: 4.0ms (7.8% of total)ival-add: 3.0ms (5.8% of total)ival-neg: 2.0ms (3.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 158 |
| 1 | 156 | 151 |
| 2 | 460 | 151 |
| 3 | 896 | 151 |
| 4 | 1339 | 151 |
| 5 | 1537 | 151 |
| 6 | 1643 | 151 |
| 0 | 12 | 17 |
| 0 | 20 | 17 |
| 1 | 36 | 17 |
| 2 | 89 | 17 |
| 3 | 180 | 17 |
| 4 | 290 | 17 |
| 5 | 379 | 17 |
| 6 | 415 | 17 |
| 7 | 463 | 17 |
| 0 | 463 | 16 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| Outputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b)) (*.f64 a #s(literal 3 binary64))) |
Compiled 17 to 12 computations (29.4% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 54.4% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
Compiled 17 to 12 computations (29.4% saved)
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 (*.f64 #s(literal 3 binary64) a) c)))) | |
| cost-diff | 0 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) | |
| cost-diff | 1 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 66 |
| 0 | 20 | 66 |
| 1 | 36 | 66 |
| 2 | 89 | 66 |
| 3 | 180 | 66 |
| 4 | 290 | 66 |
| 5 | 379 | 66 |
| 6 | 415 | 66 |
| 7 | 463 | 66 |
| 0 | 463 | 62 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
(neg.f64 b) |
b |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 3 binary64) a) c) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
a |
c |
| Outputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b)) (*.f64 a #s(literal 3 binary64))) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b)) |
(neg.f64 b) |
b |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) |
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
(fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 3 binary64) a) c) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(*.f64 #s(literal 3 binary64) a) |
(*.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
a |
c |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.0000000000000002 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) | |
| accuracy | 3.789911132247816 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) | |
| accuracy | 12.634517313427427 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) | |
| accuracy | 24.41640525602165 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) |
| 39.0ms | 178× | 0 | valid |
| 8.0ms | 33× | 2 | valid |
| 7.0ms | 40× | 1 | valid |
| 2.0ms | 5× | 3 | valid |
Compiled 68 to 14 computations (79.4% saved)
ival-mult: 29.0ms (68.1% of total)adjust: 3.0ms (7% of total)ival-div: 3.0ms (7% of total)ival-sqrt: 3.0ms (7% of total)ival-sub: 2.0ms (4.7% of total)ival-add: 2.0ms (4.7% of total)ival-neg: 1.0ms (2.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
(neg.f64 b) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) |
| Outputs |
|---|
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* -3/2 (/ (* a c) b)) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(* -3 (* a c)) |
(* a (- (/ (pow b 2) a) (* 3 c))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
(- (pow b 2) (* 3 (* a c))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(* -1 b) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -2 b) |
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) |
(* c (- (/ (pow b 2) c) (* 3 a))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | a | @ | 0 | ((- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) |
| 3.0ms | c | @ | -inf | ((- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) |
| 3.0ms | b | @ | inf | ((- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) |
| 3.0ms | a | @ | inf | ((- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) |
| 3.0ms | a | @ | -inf | ((- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 560 | 3023 |
| 1 | 1942 | 3000 |
| 0 | 8064 | 2850 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* -3/2 (/ (* a c) b)) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(* -3 (* a c)) |
(* a (- (/ (pow b 2) a) (* 3 c))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
(- (pow b 2) (* 3 (* a c))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(* -1 b) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -2 b) |
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) |
(* c (- (/ (pow b 2) c) (* 3 a))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
| Outputs |
|---|
(pow b 2) |
(*.f64 b b) |
(+ (* -3 (* a c)) (pow b 2)) |
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(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(*.f64 (*.f64 (neg.f64 c) #s(literal 1/3 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 b a) c))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))) (neg.f64 c)))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c))))) (neg.f64 c))) (neg.f64 c)))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b c))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) b) (neg.f64 c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))))) (neg.f64 c)) b) (neg.f64 c)))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal 3 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 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 51 |
| 0 | 20 | 51 |
| 1 | 65 | 51 |
| 2 | 483 | 50 |
| 3 | 5833 | 49 |
| 0 | 8853 | 45 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
(neg.f64 b) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) |
| Outputs |
|---|
(*.f64 (/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 b #s(literal 6 binary64)))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 2 binary64)) (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 2 binary64))) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 b #s(literal 6 binary64))) (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 b #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) #s(literal 3 binary64)) (pow.f64 b #s(literal 12 binary64)))) (fma.f64 (*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))) (pow.f64 b #s(literal 8 binary64)))) |
(*.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))) |
(*.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 3/4 binary64)) (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 1/4 binary64))) |
(*.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))) (/.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))) |
(*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) |
(*.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (/.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) |
(pow.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 4 binary64)) |
(pow.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 4 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 1 binary64)) |
(/.f64 (*.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) |
(/.f64 (*.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))) |
(/.f64 (*.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) #s(literal 2 binary64))) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64))) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) |
(/.f64 (-.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) (*.f64 b b))) |
(/.f64 (-.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) (*.f64 b b))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))))) |
(/.f64 (pow.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)))) (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64))) |
(/.f64 (hypot.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 3 binary64))) (hypot.f64 (*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) (pow.f64 b #s(literal 4 binary64)))) |
(/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 2 binary64)) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) |
(/.f64 (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 4 binary64))) (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 3 binary64))) |
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(/.f64 (neg.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))) |
(/.f64 (fabs.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fabs.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))) |
(/.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))) |
(/.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))))) |
(/.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))) |
(/.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) |
(neg.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) |
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) |
(fabs.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 2 binary64))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))) |
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))) (sinh.f64 (log.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))))) |
Compiled 17 801 to 2 122 computations (88.1% saved)
18 alts after pruning (18 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 460 | 18 | 478 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 461 | 18 | 479 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 27.2% | (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) #s(literal -3 binary64)) a) |
| 54.4% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) | |
| ▶ | 54.4% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
| 11.7% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64))))) (*.f64 #s(literal 3 binary64) a)) | |
| 7.2% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 12 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 6 binary64))) (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) #s(literal 2 binary64)) (pow.f64 b #s(literal 8 binary64))) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) a)) | |
| ▶ | 12.9% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 4 binary64))) (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 3 binary64))))) (*.f64 #s(literal 3 binary64) a)) |
| 18.5% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (-.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)))) (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 2 binary64))))) (*.f64 #s(literal 3 binary64) a)) | |
| 15.4% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 b #s(literal 6 binary64)))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))))))) (*.f64 #s(literal 3 binary64) a)) | |
| 52.5% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))) (*.f64 #s(literal 3 binary64) a)) | |
| 38.7% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -3 binary64) #s(literal 1 binary64)) b) b)))) (*.f64 #s(literal 3 binary64) a)) | |
| ▶ | 36.6% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) |
| 9.6% | (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c b) b))) (*.f64 #s(literal 3 binary64) a)) | |
| 35.8% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -3/2 binary64) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 3 binary64) a)) | |
| 24.3% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) | |
| 36.0% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 35.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))) | |
| 32.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) | |
| ▶ | 36.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
Compiled 1 054 to 722 computations (31.5% saved)
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 4 binary64))) (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 3 binary64)))) | |
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 4 binary64))) (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 3 binary64))))) | |
| cost-diff | 0 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 4 binary64))) (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 3 binary64))))) (*.f64 #s(literal 3 binary64) a)) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) | |
| cost-diff | 0 | (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) | |
| cost-diff | 0 | (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) #s(literal -3 binary64)) | |
| cost-diff | 0 | (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) #s(literal -3 binary64)) a) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) | |
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) | |
| cost-diff | 0 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) | |
| cost-diff | 0 | (/.f64 b a) | |
| cost-diff | 0 | (*.f64 #s(literal -2/3 binary64) (/.f64 b a)) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) | |
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) | |
| cost-diff | 0 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 419 |
| 0 | 80 | 419 |
| 1 | 139 | 414 |
| 2 | 287 | 414 |
| 3 | 756 | 414 |
| 4 | 3189 | 414 |
| 5 | 7078 | 414 |
| 0 | 8188 | 414 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) |
(neg.f64 b) |
b |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) |
(*.f64 #s(literal -3 binary64) a) |
#s(literal -3 binary64) |
a |
c |
(*.f64 b b) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
(*.f64 #s(literal -2/3 binary64) (/.f64 b a)) |
#s(literal -2/3 binary64) |
(/.f64 b a) |
b |
a |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) |
(neg.f64 b) |
b |
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) |
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))) |
(*.f64 (*.f64 c a) #s(literal -3 binary64)) |
(*.f64 c a) |
c |
a |
#s(literal -3 binary64) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) #s(literal -3 binary64)) a) |
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) #s(literal -3 binary64)) |
(-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) |
b |
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) |
(fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) |
c |
(*.f64 a #s(literal 3 binary64)) |
a |
#s(literal 3 binary64) |
(*.f64 b b) |
#s(literal -3 binary64) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 4 binary64))) (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 3 binary64))))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 4 binary64))) (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 3 binary64))))) |
(neg.f64 b) |
b |
(sqrt.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 4 binary64))) (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 3 binary64)))) |
(/.f64 (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 4 binary64))) (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 3 binary64))) |
(-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 4 binary64))) |
(pow.f64 b #s(literal 8 binary64)) |
#s(literal 8 binary64) |
(pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 4 binary64)) |
(*.f64 (*.f64 #s(literal -3 binary64) a) c) |
(*.f64 #s(literal -3 binary64) a) |
#s(literal -3 binary64) |
a |
c |
#s(literal 4 binary64) |
(pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 3 binary64)) |
(fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) |
(*.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 b b) |
(*.f64 #s(literal 3 binary64) a) |
| Outputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) |
(+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b)) |
(neg.f64 b) |
b |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) |
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) |
(fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) |
(*.f64 #s(literal -3 binary64) a) |
(*.f64 a #s(literal -3 binary64)) |
#s(literal -3 binary64) |
a |
c |
(*.f64 b b) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))) |
(*.f64 #s(literal -2/3 binary64) (/.f64 b a)) |
(*.f64 (/.f64 b a) #s(literal -2/3 binary64)) |
#s(literal -2/3 binary64) |
(/.f64 b a) |
b |
a |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) |
(+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) (neg.f64 b)) |
(neg.f64 b) |
b |
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) |
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))) |
(*.f64 (*.f64 c a) #s(literal -3 binary64)) |
(*.f64 c a) |
c |
a |
#s(literal -3 binary64) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) #s(literal -3 binary64)) a) |
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)))) (*.f64 a #s(literal -3 binary64))) |
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) #s(literal -3 binary64)) |
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)))) #s(literal -3 binary64)) |
(-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) |
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)))) |
b |
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) |
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))) |
(fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) |
(fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)) |
c |
(*.f64 a #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) a) |
a |
#s(literal 3 binary64) |
(*.f64 b b) |
#s(literal -3 binary64) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 4 binary64))) (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 3 binary64))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) #s(literal 4 binary64))) (pow.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)) #s(literal 3 binary64)))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 4 binary64))) (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 3 binary64))))) |
(+.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) #s(literal 4 binary64))) (pow.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)) #s(literal 3 binary64)))) (neg.f64 b)) |
(neg.f64 b) |
b |
(sqrt.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 4 binary64))) (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 3 binary64)))) |
(sqrt.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) #s(literal 4 binary64))) (pow.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)) #s(literal 3 binary64)))) |
(/.f64 (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 4 binary64))) (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 3 binary64))) |
(/.f64 (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) #s(literal 4 binary64))) (pow.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)) #s(literal 3 binary64))) |
(-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 4 binary64))) |
(-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) #s(literal 4 binary64))) |
(pow.f64 b #s(literal 8 binary64)) |
#s(literal 8 binary64) |
(pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 4 binary64)) |
(pow.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) #s(literal 4 binary64)) |
(*.f64 (*.f64 #s(literal -3 binary64) a) c) |
(*.f64 (*.f64 c a) #s(literal -3 binary64)) |
(*.f64 #s(literal -3 binary64) a) |
(*.f64 a #s(literal -3 binary64)) |
#s(literal -3 binary64) |
a |
c |
#s(literal 4 binary64) |
(pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 3 binary64)) |
(pow.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)) #s(literal 3 binary64)) |
(fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) |
(fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)) |
(*.f64 a #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
(*.f64 b b) |
(*.f64 #s(literal 3 binary64) a) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 7.371093750000001 | (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 4 binary64))) | |
| accuracy | 12.649199508442297 | (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 4 binary64))) (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 3 binary64))))) | |
| accuracy | 19.114305576556593 | (sqrt.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 4 binary64))) (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 3 binary64)))) | |
| accuracy | 31.363538645789937 | (/.f64 (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 4 binary64))) (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 3 binary64))) | |
| accuracy | 0.05859375 | (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) #s(literal -3 binary64)) | |
| accuracy | 3.62236754215912 | (/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) #s(literal -3 binary64)) a) | |
| accuracy | 12.63503729152296 | (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) | |
| accuracy | 19.110399326556593 | (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) | |
| accuracy | 3.639188622479374 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) | |
| accuracy | 12.630611063427427 | (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) | |
| accuracy | 19.110399326556593 | (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) | |
| accuracy | 38.819932459520665 | #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))) | |
| accuracy | 0.0 | (/.f64 b a) | |
| accuracy | 0.18359375 | (*.f64 #s(literal -2/3 binary64) (/.f64 b a)) | |
| accuracy | 18.9973161564669 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) | |
| accuracy | 0.0 | (neg.f64 b) | |
| accuracy | 3.639188622479374 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) | |
| accuracy | 12.630611063427427 | (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) | |
| accuracy | 19.110399326556593 | (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) |
| 78.0ms | 87× | 0 | valid |
| 48.0ms | 39× | 1 | valid |
| 33.0ms | 34× | 2 | valid |
| 32.0ms | 91× | 0 | invalid |
| 6.0ms | 5× | 3 | valid |
Compiled 406 to 43 computations (89.4% saved)
ival-mult: 37.0ms (25.6% of total)const: 37.0ms (25.6% of total)ival-div: 16.0ms (11.1% of total)adjust: 14.0ms (9.7% of total)ival-pow: 13.0ms (9% of total)ival-sqrt: 10.0ms (6.9% of total)ival-add: 8.0ms (5.5% of total)ival-sub: 6.0ms (4.2% of total)exact: 1.0ms (0.7% of total)ival-neg: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) |
(neg.f64 b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
(*.f64 #s(literal -2/3 binary64) (/.f64 b a)) |
(/.f64 b a) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) |
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) |
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) #s(literal -3 binary64)) a) |
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) #s(literal -3 binary64)) |
(-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) |
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 4 binary64))) (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 3 binary64))))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 4 binary64))) (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 3 binary64))))) |
(sqrt.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 4 binary64))) (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 3 binary64)))) |
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))) |
(/.f64 (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 4 binary64))) (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 3 binary64))) |
(-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 4 binary64))) |
| Outputs |
|---|
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* -3/2 (/ (* a c) b)) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(* -2/3 (/ b a)) |
(/ b a) |
(* 1/2 (/ c b)) |
(+ (* -3/8 (/ (* a (pow c 2)) (pow b 3))) (* 1/2 (/ c b))) |
(+ (* 1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* 9/16 (/ (* a (pow c 3)) (pow b 5)))))) |
(+ (* 1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* 9/16 (/ (pow c 3) (pow b 5)))))))) |
(* 1/2 (/ (* a c) b)) |
(* a (+ (* -3/8 (/ (* a (pow c 2)) (pow b 3))) (* 1/2 (/ c b)))) |
(* a (+ (* 1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* 9/16 (/ (* a (pow c 3)) (pow b 5))))))) |
(* a (+ (* 1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* 9/16 (/ (pow c 3) (pow b 5))))))))) |
(* a (- (* 9/8 (/ (* a (pow c 2)) (pow b 3))) (* 3/2 (/ c b)))) |
(* a (- (* a (- (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* 3/2 (/ c b)))) |
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* 27/16 (/ (pow c 3) (pow b 5))))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* 3/2 (/ c b)))) |
(+ b (* 3/2 (/ (* a c) b))) |
(+ b (* a (+ (* -9/8 (/ (* a (pow c 2)) (pow b 3))) (* 3/2 (/ c b))))) |
(+ b (* a (+ (* 3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* 27/16 (/ (* a (pow c 3)) (pow b 5)))))))) |
(* -1/6 (/ (+ (* 3 c) (* 6 c)) b)) |
(+ (* -1/6 (/ (* a (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* 1/4 (/ (pow (+ (* 3 c) (* 6 c)) 2) (pow b 2))) (+ (* 9 (/ (pow c 2) (pow b 2))) (* 18 (/ (pow c 2) (pow b 2))))))) b)) (* -1/6 (/ (+ (* 3 c) (* 6 c)) b))) |
(+ (* -1/6 (/ (+ (* 3 c) (* 6 c)) b)) (* a (+ (* -1/6 (/ (* a (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* 9 (/ (pow c 2) (pow b 2))) (* 18 (/ (pow c 2) (pow b 2))))) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (pow b 6))) (+ (* 1/2 (/ (* (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* 1/4 (/ (pow (+ (* 3 c) (* 6 c)) 2) (pow b 2))) (+ (* 9 (/ (pow c 2) (pow b 2))) (* 18 (/ (pow c 2) (pow b 2)))))) (+ (* 3 c) (* 6 c))) (pow b 2))) (* 27 (/ (pow c 3) (pow b 4))))))) b)) (* -1/6 (/ (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* 1/4 (/ (pow (+ (* 3 c) (* 6 c)) 2) (pow b 2))) (+ (* 9 (/ (pow c 2) (pow b 2))) (* 18 (/ (pow c 2) (pow b 2)))))) b))))) |
(+ (* -1/6 (/ (+ (* 3 c) (* 6 c)) b)) (* a (+ (* -1/6 (/ (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* 1/4 (/ (pow (+ (* 3 c) (* 6 c)) 2) (pow b 2))) (+ (* 9 (/ (pow c 2) (pow b 2))) (* 18 (/ (pow c 2) (pow b 2)))))) b)) (* a (+ (* -1/6 (/ (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* 9 (/ (pow c 2) (pow b 2))) (* 18 (/ (pow c 2) (pow b 2))))) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (pow b 6))) (+ (* 1/2 (/ (* (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* 1/4 (/ (pow (+ (* 3 c) (* 6 c)) 2) (pow b 2))) (+ (* 9 (/ (pow c 2) (pow b 2))) (* 18 (/ (pow c 2) (pow b 2)))))) (+ (* 3 c) (* 6 c))) (pow b 2))) (* 27 (/ (pow c 3) (pow b 4)))))) b)) (* 1/6 (/ (* a (- (* -81 (/ (pow c 4) (pow b 6))) (+ (* -27 (/ (* (pow c 3) (+ (* 3 c) (* 6 c))) (pow b 6))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* 9 (/ (pow c 2) (pow b 2))) (* 18 (/ (pow c 2) (pow b 2))))) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (pow b 6))) (* 27 (/ (pow c 3) (pow b 4))))) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* 9 (/ (pow c 2) (pow b 2))) (* 18 (/ (pow c 2) (pow b 2))))) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (pow b 6))) (+ (* 1/4 (/ (pow (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* 1/4 (/ (pow (+ (* 3 c) (* 6 c)) 2) (pow b 2))) (+ (* 9 (/ (pow c 2) (pow b 2))) (* 18 (/ (pow c 2) (pow b 2)))))) 2) (pow b 2))) (* 1/2 (/ (* (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* 9 (/ (pow c 2) (pow b 2))) (* 18 (/ (pow c 2) (pow b 2))))) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (pow b 6))) (+ (* 1/2 (/ (* (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* 1/4 (/ (pow (+ (* 3 c) (* 6 c)) 2) (pow b 2))) (+ (* 9 (/ (pow c 2) (pow b 2))) (* 18 (/ (pow c 2) (pow b 2)))))) (+ (* 3 c) (* 6 c))) (pow b 2))) (* 27 (/ (pow c 3) (pow b 4)))))) (+ (* 3 c) (* 6 c))) (pow b 2))))))))) b))))))) |
(* -1/2 (/ (* a (+ (* 3 c) (* 6 c))) b)) |
(* a (+ (* -1/2 (/ (* a (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* 1/4 (/ (pow (+ (* 3 c) (* 6 c)) 2) (pow b 2))) (+ (* 9 (/ (pow c 2) (pow b 2))) (* 18 (/ (pow c 2) (pow b 2))))))) b)) (* -1/2 (/ (+ (* 3 c) (* 6 c)) b)))) |
(* a (+ (* -1/2 (/ (+ (* 3 c) (* 6 c)) b)) (* a (+ (* -1/2 (/ (* a (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* 9 (/ (pow c 2) (pow b 2))) (* 18 (/ (pow c 2) (pow b 2))))) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (pow b 6))) (+ (* 1/2 (/ (* (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* 1/4 (/ (pow (+ (* 3 c) (* 6 c)) 2) (pow b 2))) (+ (* 9 (/ (pow c 2) (pow b 2))) (* 18 (/ (pow c 2) (pow b 2)))))) (+ (* 3 c) (* 6 c))) (pow b 2))) (* 27 (/ (pow c 3) (pow b 4))))))) b)) (* -1/2 (/ (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* 1/4 (/ (pow (+ (* 3 c) (* 6 c)) 2) (pow b 2))) (+ (* 9 (/ (pow c 2) (pow b 2))) (* 18 (/ (pow c 2) (pow b 2)))))) b)))))) |
(* a (+ (* -1/2 (/ (+ (* 3 c) (* 6 c)) b)) (* a (+ (* -1/2 (/ (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* 1/4 (/ (pow (+ (* 3 c) (* 6 c)) 2) (pow b 2))) (+ (* 9 (/ (pow c 2) (pow b 2))) (* 18 (/ (pow c 2) (pow b 2)))))) b)) (* a (+ (* -1/2 (/ (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* 9 (/ (pow c 2) (pow b 2))) (* 18 (/ (pow c 2) (pow b 2))))) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (pow b 6))) (+ (* 1/2 (/ (* (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* 1/4 (/ (pow (+ (* 3 c) (* 6 c)) 2) (pow b 2))) (+ (* 9 (/ (pow c 2) (pow b 2))) (* 18 (/ (pow c 2) (pow b 2)))))) (+ (* 3 c) (* 6 c))) (pow b 2))) (* 27 (/ (pow c 3) (pow b 4)))))) b)) (* 1/2 (/ (* a (- (* -81 (/ (pow c 4) (pow b 6))) (+ (* -27 (/ (* (pow c 3) (+ (* 3 c) (* 6 c))) (pow b 6))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* 9 (/ (pow c 2) (pow b 2))) (* 18 (/ (pow c 2) (pow b 2))))) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (pow b 6))) (* 27 (/ (pow c 3) (pow b 4))))) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* 9 (/ (pow c 2) (pow b 2))) (* 18 (/ (pow c 2) (pow b 2))))) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (pow b 6))) (+ (* 1/4 (/ (pow (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* 1/4 (/ (pow (+ (* 3 c) (* 6 c)) 2) (pow b 2))) (+ (* 9 (/ (pow c 2) (pow b 2))) (* 18 (/ (pow c 2) (pow b 2)))))) 2) (pow b 2))) (* 1/2 (/ (* (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* 9 (/ (pow c 2) (pow b 2))) (* 18 (/ (pow c 2) (pow b 2))))) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (pow b 6))) (+ (* 1/2 (/ (* (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* 1/4 (/ (pow (+ (* 3 c) (* 6 c)) 2) (pow b 2))) (+ (* 9 (/ (pow c 2) (pow b 2))) (* 18 (/ (pow c 2) (pow b 2)))))) (+ (* 3 c) (* 6 c))) (pow b 2))) (* 27 (/ (pow c 3) (pow b 4)))))) (+ (* 3 c) (* 6 c))) (pow b 2))))))))) b)))))))) |
(+ b (* -1/2 (/ (* a (+ (* 3 c) (* 6 c))) b))) |
(+ b (* a (+ (* -1/2 (/ (* a (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* 1/4 (/ (pow (+ (* 3 c) (* 6 c)) 2) (pow b 2))) (+ (* 9 (/ (pow c 2) (pow b 2))) (* 18 (/ (pow c 2) (pow b 2))))))) b)) (* -1/2 (/ (+ (* 3 c) (* 6 c)) b))))) |
(+ b (* a (+ (* -1/2 (/ (+ (* 3 c) (* 6 c)) b)) (* a (+ (* -1/2 (/ (* a (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* 9 (/ (pow c 2) (pow b 2))) (* 18 (/ (pow c 2) (pow b 2))))) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (pow b 6))) (+ (* 1/2 (/ (* (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* 1/4 (/ (pow (+ (* 3 c) (* 6 c)) 2) (pow b 2))) (+ (* 9 (/ (pow c 2) (pow b 2))) (* 18 (/ (pow c 2) (pow b 2)))))) (+ (* 3 c) (* 6 c))) (pow b 2))) (* 27 (/ (pow c 3) (pow b 4))))))) b)) (* -1/2 (/ (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* 1/4 (/ (pow (+ (* 3 c) (* 6 c)) 2) (pow b 2))) (+ (* 9 (/ (pow c 2) (pow b 2))) (* 18 (/ (pow c 2) (pow b 2)))))) b))))))) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -1 (* a (+ (* 3 c) (* 6 c)))) (pow b 2)) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* 9 (/ (pow c 2) (pow b 2))) (* 18 (/ (pow c 2) (pow b 2))))))) (+ (* 3 c) (* 6 c)))) (pow b 2)) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* 9 (/ (pow c 2) (pow b 2))) (* 18 (/ (pow c 2) (pow b 2))))) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (pow b 6))) (* 27 (/ (pow c 3) (pow b 4))))))) (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* 9 (/ (pow c 2) (pow b 2))) (* 18 (/ (pow c 2) (pow b 2))))))) (+ (* 3 c) (* 6 c)))) (pow b 2)) |
(pow b 8) |
(+ (* -81 (* (pow a 4) (pow c 4))) (pow b 8)) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt 3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt 3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt 3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt 3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt 3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt 3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt 3)))))) |
(* 1/3 (* (sqrt (* a c)) (sqrt 3))) |
(* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt 3))))) |
(* a (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt 3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt 3)))))) |
(* a (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt 3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt 3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt 3))))))) |
(* -1 (* (sqrt (* a c)) (sqrt 3))) |
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt 3)))) |
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt 3)))) (/ b a)) (* (sqrt (/ c a)) (sqrt 3)))) |
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt 3) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt 3)))) (* (sqrt (/ c a)) (sqrt 3))))) |
(* (sqrt (* a c)) (sqrt 3)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt 3)))) (* (sqrt (/ c a)) (sqrt 3)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt 3)))) (* (sqrt (/ c a)) (sqrt 3))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt 3)))) (* (sqrt (/ c a)) (sqrt 3)))))) |
(+ (* -1/3 (/ b a)) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (+ (* -1/9 (/ (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c))) (pow c 2))) (* 1/243 (/ (pow (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) 2) (pow c 5)))) (sqrt -3)))) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* a (- (+ (* 1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (+ (* -1/9 (/ (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c))) (pow c 2))) (* 1/243 (/ (pow (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) 2) (pow c 5)))) (sqrt -3)))) (+ (* 1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) |
(* a (+ (* 1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (+ (* -1/9 (/ (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c))) (pow c 2))) (* 1/243 (/ (pow (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) 2) (pow c 5)))) (sqrt -3)))) (+ (* 1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* a (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (+ (* -1/9 (/ (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c))) (pow c 2))) (* 1/243 (/ (pow (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) 2) (pow c 5)))) (sqrt -3)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 7) c))) (/ (+ (* -1/9 (/ (pow b 6) (pow c 2))) (+ (* -1/27 (/ (* (+ (* -1/9 (/ (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c))) (pow c 2))) (* 1/243 (/ (pow (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) 2) (pow c 5)))) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (pow c 3))) (+ (* 1/324 (/ (* a (pow (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) 2)) (* (pow c 5) (pow (sqrt -3) 2)))) (* 1/243 (/ (* (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c))) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (pow c 5)))))) (sqrt -3)))) (+ (* 1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -3 (* a c)) |
(* a (- (/ (pow b 2) a) (* 3 c))) |
(* a (+ (* -3 c) (* 1/9 (/ (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* a (pow c 2)))))) |
(* a (- (+ (* -3 c) (* -1 (/ (+ (* -1/9 (/ (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c))) (pow c 2))) (* 1/243 (/ (pow (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) 2) (pow c 5)))) (pow a 2)))) (* -1/9 (/ (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* a (pow c 2)))))) |
(* a (- (+ (* -3 c) (* -1 (/ (+ (* -1/9 (/ (pow b 6) (pow c 2))) (+ (* -1/27 (/ (* (+ (* -1/9 (/ (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c))) (pow c 2))) (* 1/243 (/ (pow (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) 2) (pow c 5)))) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (pow c 3))) (* 1/243 (/ (* (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c))) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (pow c 5))))) (pow a 3)))) (+ (* -1/9 (/ (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c))) (* (pow a 2) (pow c 2)))) (+ (* -1/9 (/ (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* a (pow c 2)))) (* 1/243 (/ (pow (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) 2) (* (pow a 2) (pow c 5)))))))) |
(* -81 (* (pow a 4) (pow c 4))) |
(* (pow a 4) (- (/ (pow b 8) (pow a 4)) (* 81 (pow c 4)))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt -3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1))))) |
(* -1/3 (* (sqrt (* a c)) (* (sqrt -3) (sqrt -1)))) |
(* -1 (* a (+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1)))) (* 1/3 (/ b a))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3))))) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1))))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt -3))))) a)) (* -1/3 b)) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1))))))) |
(* (sqrt (* a c)) (* (sqrt -3) (sqrt -1))) |
(* -1 (* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3))))) a)) (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt -3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1)))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -3) (sqrt -1)))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1)))))))) |
(+ (* -1 (/ (+ (* 1/54 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (+ (* -1/9 (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (pow c 2))) (* -1/243 (/ (pow (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) 2) (pow c 5))))) (sqrt 3)))) (* -1/54 (* (sqrt (/ a (pow c 5))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (sqrt 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
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(* -1 (* a (+ (* 1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (sqrt 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (sqrt -1) (+ (* -1/9 (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (pow c 2))) (* -1/243 (/ (pow (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) 2) (pow c 5))))) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
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(* -1 (* a (+ (* -1/9 (/ (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* a (pow c 2)))) (* 3 c)))) |
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(* -1 b) |
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(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt 3)))))) (* (sqrt (* a c)) (sqrt 3))) |
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(- (pow b 2) (* 3 (* a c))) |
(+ (* -3 (* a c)) (* 1/9 (/ (* (pow b 2) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2))))) (* (pow a 2) (pow c 2))))) |
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(- (pow b 8) (* 81 (* (pow a 4) (pow c 4)))) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(/ (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b) |
(/ (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b) |
(/ (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 1/2 c) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4)))))) b) |
(/ (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 1/2 (* a c))) b) |
(/ (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* 1/2 (* a c)) (* 9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))))) b) |
(/ (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 1/2 (* a c)) (* 9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4)))))) b) |
(/ (- (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c))) b) |
(/ (- (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c)))) b) |
(/ (- (* 1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* 3/2 (* a c)) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4)))))) b) |
(* b (+ 1 (* 3/2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 3/2 (/ (* a c) (pow b 2)))))) |
(* b (+ 1 (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* 3/2 (/ (* a c) (pow b 2))) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))))))) |
(* -1/6 (/ (+ (* 3 (* a c)) (* 6 (* a c))) (* a b))) |
(/ (+ (* -1/6 (/ (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 1/4 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) (* a (pow b 2)))) (* -1/6 (/ (+ (* 3 (* a c)) (* 6 (* a c))) a))) b) |
(/ (+ (* -1/6 (/ (+ (* -1 (* (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2))))) (+ (* 3 (* a c)) (* 6 (* a c))))) (+ (* -1 (* (+ (* 3 (* a c)) (* 6 (* a c))) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) (+ (* 1/2 (* (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 1/4 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) (+ (* 3 (* a c)) (* 6 (* a c))))) (* 27 (* (pow a 3) (pow c 3)))))) (* a (pow b 4)))) (+ (* -1/6 (/ (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 1/4 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) (* a (pow b 2)))) (* -1/6 (/ (+ (* 3 (* a c)) (* 6 (* a c))) a)))) b) |
(/ (+ (* -1/6 (/ (+ (* -1 (* (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2))))) (+ (* 3 (* a c)) (* 6 (* a c))))) (+ (* -1 (* (+ (* 3 (* a c)) (* 6 (* a c))) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) (+ (* 1/2 (* (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 1/4 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) (+ (* 3 (* a c)) (* 6 (* a c))))) (* 27 (* (pow a 3) (pow c 3)))))) (* a (pow b 4)))) (+ (* -1/6 (/ (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 1/4 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) (* a (pow b 2)))) (+ (* -1/6 (/ (+ (* 3 (* a c)) (* 6 (* a c))) a)) (* 1/6 (/ (- (* -81 (* (pow a 4) (pow c 4))) (+ (* -27 (* (pow a 3) (* (pow c 3) (+ (* 3 (* a c)) (* 6 (* a c)))))) (+ (* -1 (* (+ (* -1 (* (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2))))) (+ (* 3 (* a c)) (* 6 (* a c))))) (+ (* -1 (* (+ (* 3 (* a c)) (* 6 (* a c))) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) (* 27 (* (pow a 3) (pow c 3))))) (+ (* 3 (* a c)) (* 6 (* a c))))) (+ (* -1 (* (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2))))) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) (+ (* 1/4 (pow (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 1/4 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) 2)) (* 1/2 (* (+ (* -1 (* (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2))))) (+ (* 3 (* a c)) (* 6 (* a c))))) (+ (* -1 (* (+ (* 3 (* a c)) (* 6 (* a c))) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) (+ (* 1/2 (* (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 1/4 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) (+ (* 3 (* a c)) (* 6 (* a c))))) (* 27 (* (pow a 3) (pow c 3)))))) (+ (* 3 (* a c)) (* 6 (* a c)))))))))) (* a (pow b 6))))))) b) |
(* -1/2 (/ (+ (* 3 (* a c)) (* 6 (* a c))) b)) |
(/ (+ (* -1/2 (+ (* 3 (* a c)) (* 6 (* a c)))) (* -1/2 (/ (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 1/4 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) (pow b 2)))) b) |
(/ (+ (* -1/2 (+ (* 3 (* a c)) (* 6 (* a c)))) (+ (* -1/2 (/ (+ (* -1 (* (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2))))) (+ (* 3 (* a c)) (* 6 (* a c))))) (+ (* -1 (* (+ (* 3 (* a c)) (* 6 (* a c))) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) (+ (* 1/2 (* (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 1/4 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) (+ (* 3 (* a c)) (* 6 (* a c))))) (* 27 (* (pow a 3) (pow c 3)))))) (pow b 4))) (* -1/2 (/ (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 1/4 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) (pow b 2))))) b) |
(/ (+ (* -1/2 (+ (* 3 (* a c)) (* 6 (* a c)))) (+ (* -1/2 (/ (+ (* -1 (* (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2))))) (+ (* 3 (* a c)) (* 6 (* a c))))) (+ (* -1 (* (+ (* 3 (* a c)) (* 6 (* a c))) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) (+ (* 1/2 (* (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 1/4 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) (+ (* 3 (* a c)) (* 6 (* a c))))) (* 27 (* (pow a 3) (pow c 3)))))) (pow b 4))) (+ (* -1/2 (/ (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 1/4 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) (pow b 2))) (* 1/2 (/ (- (* -81 (* (pow a 4) (pow c 4))) (+ (* -27 (* (pow a 3) (* (pow c 3) (+ (* 3 (* a c)) (* 6 (* a c)))))) (+ (* -1 (* (+ (* -1 (* (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2))))) (+ (* 3 (* a c)) (* 6 (* a c))))) (+ (* -1 (* (+ (* 3 (* a c)) (* 6 (* a c))) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) (* 27 (* (pow a 3) (pow c 3))))) (+ (* 3 (* a c)) (* 6 (* a c))))) (+ (* -1 (* (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2))))) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) (+ (* 1/4 (pow (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 1/4 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) 2)) (* 1/2 (* (+ (* -1 (* (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2))))) (+ (* 3 (* a c)) (* 6 (* a c))))) (+ (* -1 (* (+ (* 3 (* a c)) (* 6 (* a c))) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) (+ (* 1/2 (* (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 1/4 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) (+ (* 3 (* a c)) (* 6 (* a c))))) (* 27 (* (pow a 3) (pow c 3)))))) (+ (* 3 (* a c)) (* 6 (* a c)))))))))) (pow b 6)))))) b) |
(* b (+ 1 (* -1/2 (/ (+ (* 3 (* a c)) (* 6 (* a c))) (pow b 2))))) |
(* b (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 1/4 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) (pow b 4))) (* -1/2 (/ (+ (* 3 (* a c)) (* 6 (* a c))) (pow b 2)))))) |
(* b (+ 1 (+ (* -1/2 (/ (+ (* -1 (* (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2))))) (+ (* 3 (* a c)) (* 6 (* a c))))) (+ (* -1 (* (+ (* 3 (* a c)) (* 6 (* a c))) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) (+ (* 1/2 (* (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 1/4 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) (+ (* 3 (* a c)) (* 6 (* a c))))) (* 27 (* (pow a 3) (pow c 3)))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 1/4 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) (pow b 4))) (* -1/2 (/ (+ (* 3 (* a c)) (* 6 (* a c))) (pow b 2))))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -1 (/ (+ (* 3 (* a c)) (* 6 (* a c))) (pow b 2))))) |
(* (pow b 2) (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2))))) (pow b 4)))) (+ (* 3 (/ (* a c) (pow b 2))) (* 6 (/ (* a c) (pow b 2)))))) |
(* (pow b 2) (- (+ 1 (* -1 (/ (+ (* -1 (* (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2))))) (+ (* 3 (* a c)) (* 6 (* a c))))) (+ (* -1 (* (+ (* 3 (* a c)) (* 6 (* a c))) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) (* 27 (* (pow a 3) (pow c 3))))) (pow b 6)))) (+ (* -1 (/ (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2) (pow b 4))) (+ (* 3 (/ (* a c) (pow b 2))) (+ (* 6 (/ (* a c) (pow b 2))) (+ (* 9 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 18 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
(* (pow b 8) (+ 1 (* -81 (/ (* (pow a 4) (pow c 4)) (pow b 8))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -2 b) |
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (* b (+ (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (+ (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (+ (* 1/2 (/ c (pow b 2))) (+ (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (* 2/3 (/ 1 a))))))) |
(* -2/3 b) |
(* -1 (* b (+ 2/3 (* 1/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2/3 (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 1/2 (/ (* a c) (pow b 2))))))) |
(* -1 (* b (+ 2/3 (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* 1/2 (/ (* a c) (pow b 2))) (* 9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6)))))))) |
(* 2 b) |
(* -1 (* b (- (* -3/2 (/ (* a c) (pow b 2))) 2))) |
(* -1 (* b (- (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* 3/2 (/ (* a c) (pow b 2))))))) |
(* -1 (* b (- (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 3/2 (/ (* a c) (pow b 2)))))))) |
(* -1 (* b (+ 1 (* 3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 3/2 (/ (* a c) (pow b 2))))))) |
(* -1 (* b (+ 1 (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* 3/2 (/ (* a c) (pow b 2))) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6)))))))) |
(* -1 (* b (+ (* -1/6 (/ (+ (* 3 (* a c)) (* 6 (* a c))) (* a (pow b 2)))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/6 (/ (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 1/4 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) (* a (pow b 4)))) (+ (* -1/6 (/ (+ (* 3 (* a c)) (* 6 (* a c))) (* a (pow b 2)))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -1/6 (/ (+ (* -1 (* (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2))))) (+ (* 3 (* a c)) (* 6 (* a c))))) (+ (* -1 (* (+ (* 3 (* a c)) (* 6 (* a c))) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) (+ (* 1/2 (* (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 1/4 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) (+ (* 3 (* a c)) (* 6 (* a c))))) (* 27 (* (pow a 3) (pow c 3)))))) (* a (pow b 6)))) (+ (* -1/6 (/ (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 1/4 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) (* a (pow b 4)))) (+ (* -1/6 (/ (+ (* 3 (* a c)) (* 6 (* a c))) (* a (pow b 2)))) (* 2/3 (/ 1 a))))))) |
(* -1 (* b (+ 2 (* -1/2 (/ (+ (* 3 (* a c)) (* 6 (* a c))) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -1/2 (/ (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 1/4 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) (pow b 4))) (* -1/2 (/ (+ (* 3 (* a c)) (* 6 (* a c))) (pow b 2))))))) |
(* -1 (* b (+ 2 (+ (* -1/2 (/ (+ (* -1 (* (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2))))) (+ (* 3 (* a c)) (* 6 (* a c))))) (+ (* -1 (* (+ (* 3 (* a c)) (* 6 (* a c))) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) (+ (* 1/2 (* (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 1/4 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) (+ (* 3 (* a c)) (* 6 (* a c))))) (* 27 (* (pow a 3) (pow c 3)))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 1/4 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) (pow b 4))) (* -1/2 (/ (+ (* 3 (* a c)) (* 6 (* a c))) (pow b 2)))))))) |
(* -1 (* b (+ 1 (* -1/2 (/ (+ (* 3 (* a c)) (* 6 (* a c))) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 1/4 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) (pow b 4))) (* -1/2 (/ (+ (* 3 (* a c)) (* 6 (* a c))) (pow b 2))))))) |
(* -1 (* b (+ 1 (+ (* -1/2 (/ (+ (* -1 (* (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2))))) (+ (* 3 (* a c)) (* 6 (* a c))))) (+ (* -1 (* (+ (* 3 (* a c)) (* 6 (* a c))) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) (+ (* 1/2 (* (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 1/4 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) (+ (* 3 (* a c)) (* 6 (* a c))))) (* 27 (* (pow a 3) (pow c 3)))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 1/4 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) (pow b 4))) (* -1/2 (/ (+ (* 3 (* a c)) (* 6 (* a c))) (pow b 2)))))))) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) |
(* c (+ (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (+ (* c (+ (* -3/8 (/ a (pow b 3))) (* 9/16 (/ (* (pow a 2) c) (pow b 5))))) (* 1/2 (/ 1 b)))) |
(* c (+ (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))) (* 9/16 (/ (pow a 2) (pow b 5))))))) (* 1/2 (/ 1 b)))) |
(* c (+ (* -3/8 (/ (* (pow a 2) c) (pow b 3))) (* 1/2 (/ a b)))) |
(* c (+ (* 1/2 (/ a b)) (* c (+ (* -3/8 (/ (pow a 2) (pow b 3))) (* 9/16 (/ (* (pow a 3) c) (pow b 5))))))) |
(* c (+ (* 1/2 (/ a b)) (* c (+ (* -3/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)) (* 9/16 (/ (pow a 3) (pow b 5))))))))) |
(* c (- (* 9/8 (/ (* (pow a 2) c) (pow b 3))) (* 3/2 (/ a b)))) |
(* c (- (* c (- (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))) (* 3/2 (/ a b)))) |
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)) (* 27/16 (/ (pow a 3) (pow b 5))))) (* -9/8 (/ (pow a 2) (pow b 3))))) (* 3/2 (/ a b)))) |
(+ b (* c (+ (* -9/8 (/ (* (pow a 2) c) (pow b 3))) (* 3/2 (/ a b))))) |
(+ b (* c (+ (* 3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* 27/16 (/ (* (pow a 3) c) (pow b 5)))))))) |
(* -1/6 (/ (* c (+ (* 3 a) (* 6 a))) (* a b))) |
(* c (+ (* -1/6 (/ (* c (+ (* -1 (/ (* (+ (* 3 a) (* 6 a)) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* 1/4 (/ (pow (+ (* 3 a) (* 6 a)) 2) (pow b 2))) (+ (* 9 (/ (pow a 2) (pow b 2))) (* 18 (/ (pow a 2) (pow b 2))))))) (* a b))) (* -1/6 (/ (+ (* 3 a) (* 6 a)) (* a b))))) |
(* c (+ (* -1/6 (/ (+ (* 3 a) (* 6 a)) (* a b))) (* c (+ (* -1/6 (/ (* c (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 3 a) (* 6 a)) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* 9 (/ (pow a 2) (pow b 2))) (* 18 (/ (pow a 2) (pow b 2))))) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* -1 (/ (* (+ (* 3 a) (* 6 a)) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (pow b 6))) (+ (* 1/2 (/ (* (+ (* -1 (/ (* (+ (* 3 a) (* 6 a)) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* 1/4 (/ (pow (+ (* 3 a) (* 6 a)) 2) (pow b 2))) (+ (* 9 (/ (pow a 2) (pow b 2))) (* 18 (/ (pow a 2) (pow b 2)))))) (+ (* 3 a) (* 6 a))) (pow b 2))) (* 27 (/ (pow a 3) (pow b 4))))))) (* a b))) (* -1/6 (/ (+ (* -1 (/ (* (+ (* 3 a) (* 6 a)) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* 1/4 (/ (pow (+ (* 3 a) (* 6 a)) 2) (pow b 2))) (+ (* 9 (/ (pow a 2) (pow b 2))) (* 18 (/ (pow a 2) (pow b 2)))))) (* a b))))))) |
(* c (+ (* -1/6 (/ (+ (* 3 a) (* 6 a)) (* a b))) (* c (+ (* -1/6 (/ (+ (* -1 (/ (* (+ (* 3 a) (* 6 a)) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* 1/4 (/ (pow (+ (* 3 a) (* 6 a)) 2) (pow b 2))) (+ (* 9 (/ (pow a 2) (pow b 2))) (* 18 (/ (pow a 2) (pow b 2)))))) (* a b))) (* c (+ (* -1/6 (/ (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 3 a) (* 6 a)) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* 9 (/ (pow a 2) (pow b 2))) (* 18 (/ (pow a 2) (pow b 2))))) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* -1 (/ (* (+ (* 3 a) (* 6 a)) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (pow b 6))) (+ (* 1/2 (/ (* (+ (* -1 (/ (* (+ (* 3 a) (* 6 a)) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* 1/4 (/ (pow (+ (* 3 a) (* 6 a)) 2) (pow b 2))) (+ (* 9 (/ (pow a 2) (pow b 2))) (* 18 (/ (pow a 2) (pow b 2)))))) (+ (* 3 a) (* 6 a))) (pow b 2))) (* 27 (/ (pow a 3) (pow b 4)))))) (* a b))) (* 1/6 (/ (* c (- (* -81 (/ (pow a 4) (pow b 6))) (+ (* -27 (/ (* (pow a 3) (+ (* 3 a) (* 6 a))) (pow b 6))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 3 a) (* 6 a)) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* 9 (/ (pow a 2) (pow b 2))) (* 18 (/ (pow a 2) (pow b 2))))) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* -1 (/ (* (+ (* 3 a) (* 6 a)) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (pow b 6))) (* 27 (/ (pow a 3) (pow b 4))))) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 3 a) (* 6 a)) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* 9 (/ (pow a 2) (pow b 2))) (* 18 (/ (pow a 2) (pow b 2))))) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (pow b 6))) (+ (* 1/4 (/ (pow (+ (* -1 (/ (* (+ (* 3 a) (* 6 a)) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* 1/4 (/ (pow (+ (* 3 a) (* 6 a)) 2) (pow b 2))) (+ (* 9 (/ (pow a 2) (pow b 2))) (* 18 (/ (pow a 2) (pow b 2)))))) 2) (pow b 2))) (* 1/2 (/ (* (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 3 a) (* 6 a)) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* 9 (/ (pow a 2) (pow b 2))) (* 18 (/ (pow a 2) (pow b 2))))) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* -1 (/ (* (+ (* 3 a) (* 6 a)) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (pow b 6))) (+ (* 1/2 (/ (* (+ (* -1 (/ (* (+ (* 3 a) (* 6 a)) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* 1/4 (/ (pow (+ (* 3 a) (* 6 a)) 2) (pow b 2))) (+ (* 9 (/ (pow a 2) (pow b 2))) (* 18 (/ (pow a 2) (pow b 2)))))) (+ (* 3 a) (* 6 a))) (pow b 2))) (* 27 (/ (pow a 3) (pow b 4)))))) (+ (* 3 a) (* 6 a))) (pow b 2))))))))) (* a b))))))))) |
(* -1/2 (/ (* c (+ (* 3 a) (* 6 a))) b)) |
(* c (+ (* -1/2 (/ (* c (+ (* -1 (/ (* (+ (* 3 a) (* 6 a)) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* 1/4 (/ (pow (+ (* 3 a) (* 6 a)) 2) (pow b 2))) (+ (* 9 (/ (pow a 2) (pow b 2))) (* 18 (/ (pow a 2) (pow b 2))))))) b)) (* -1/2 (/ (+ (* 3 a) (* 6 a)) b)))) |
(* c (+ (* -1/2 (/ (+ (* 3 a) (* 6 a)) b)) (* c (+ (* -1/2 (/ (* c (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 3 a) (* 6 a)) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* 9 (/ (pow a 2) (pow b 2))) (* 18 (/ (pow a 2) (pow b 2))))) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* -1 (/ (* (+ (* 3 a) (* 6 a)) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (pow b 6))) (+ (* 1/2 (/ (* (+ (* -1 (/ (* (+ (* 3 a) (* 6 a)) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* 1/4 (/ (pow (+ (* 3 a) (* 6 a)) 2) (pow b 2))) (+ (* 9 (/ (pow a 2) (pow b 2))) (* 18 (/ (pow a 2) (pow b 2)))))) (+ (* 3 a) (* 6 a))) (pow b 2))) (* 27 (/ (pow a 3) (pow b 4))))))) b)) (* -1/2 (/ (+ (* -1 (/ (* (+ (* 3 a) (* 6 a)) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* 1/4 (/ (pow (+ (* 3 a) (* 6 a)) 2) (pow b 2))) (+ (* 9 (/ (pow a 2) (pow b 2))) (* 18 (/ (pow a 2) (pow b 2)))))) b)))))) |
(* c (+ (* -1/2 (/ (+ (* 3 a) (* 6 a)) b)) (* c (+ (* -1/2 (/ (+ (* -1 (/ (* (+ (* 3 a) (* 6 a)) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* 1/4 (/ (pow (+ (* 3 a) (* 6 a)) 2) (pow b 2))) (+ (* 9 (/ (pow a 2) (pow b 2))) (* 18 (/ (pow a 2) (pow b 2)))))) b)) (* c (+ (* -1/2 (/ (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 3 a) (* 6 a)) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* 9 (/ (pow a 2) (pow b 2))) (* 18 (/ (pow a 2) (pow b 2))))) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* -1 (/ (* (+ (* 3 a) (* 6 a)) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (pow b 6))) (+ (* 1/2 (/ (* (+ (* -1 (/ (* (+ (* 3 a) (* 6 a)) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* 1/4 (/ (pow (+ (* 3 a) (* 6 a)) 2) (pow b 2))) (+ (* 9 (/ (pow a 2) (pow b 2))) (* 18 (/ (pow a 2) (pow b 2)))))) (+ (* 3 a) (* 6 a))) (pow b 2))) (* 27 (/ (pow a 3) (pow b 4)))))) b)) (* 1/2 (/ (* c (- (* -81 (/ (pow a 4) (pow b 6))) (+ (* -27 (/ (* (pow a 3) (+ (* 3 a) (* 6 a))) (pow b 6))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 3 a) (* 6 a)) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* 9 (/ (pow a 2) (pow b 2))) (* 18 (/ (pow a 2) (pow b 2))))) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* -1 (/ (* (+ (* 3 a) (* 6 a)) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (pow b 6))) (* 27 (/ (pow a 3) (pow b 4))))) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 3 a) (* 6 a)) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* 9 (/ (pow a 2) (pow b 2))) (* 18 (/ (pow a 2) (pow b 2))))) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (pow b 6))) (+ (* 1/4 (/ (pow (+ (* -1 (/ (* (+ (* 3 a) (* 6 a)) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* 1/4 (/ (pow (+ (* 3 a) (* 6 a)) 2) (pow b 2))) (+ (* 9 (/ (pow a 2) (pow b 2))) (* 18 (/ (pow a 2) (pow b 2)))))) 2) (pow b 2))) (* 1/2 (/ (* (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 3 a) (* 6 a)) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* 9 (/ (pow a 2) (pow b 2))) (* 18 (/ (pow a 2) (pow b 2))))) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* -1 (/ (* (+ (* 3 a) (* 6 a)) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (pow b 6))) (+ (* 1/2 (/ (* (+ (* -1 (/ (* (+ (* 3 a) (* 6 a)) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* 1/4 (/ (pow (+ (* 3 a) (* 6 a)) 2) (pow b 2))) (+ (* 9 (/ (pow a 2) (pow b 2))) (* 18 (/ (pow a 2) (pow b 2)))))) (+ (* 3 a) (* 6 a))) (pow b 2))) (* 27 (/ (pow a 3) (pow b 4)))))) (+ (* 3 a) (* 6 a))) (pow b 2))))))))) b)))))))) |
(+ b (* -1/2 (/ (* c (+ (* 3 a) (* 6 a))) b))) |
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(+ b (* c (+ (* -1/2 (/ (+ (* 3 a) (* 6 a)) b)) (* c (+ (* -1/2 (/ (* c (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 3 a) (* 6 a)) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* 9 (/ (pow a 2) (pow b 2))) (* 18 (/ (pow a 2) (pow b 2))))) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* -1 (/ (* (+ (* 3 a) (* 6 a)) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (pow b 6))) (+ (* 1/2 (/ (* (+ (* -1 (/ (* (+ (* 3 a) (* 6 a)) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* 1/4 (/ (pow (+ (* 3 a) (* 6 a)) 2) (pow b 2))) (+ (* 9 (/ (pow a 2) (pow b 2))) (* 18 (/ (pow a 2) (pow b 2)))))) (+ (* 3 a) (* 6 a))) (pow b 2))) (* 27 (/ (pow a 3) (pow b 4))))))) b)) (* -1/2 (/ (+ (* -1 (/ (* (+ (* 3 a) (* 6 a)) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* 1/4 (/ (pow (+ (* 3 a) (* 6 a)) 2) (pow b 2))) (+ (* 9 (/ (pow a 2) (pow b 2))) (* 18 (/ (pow a 2) (pow b 2)))))) b))))))) |
(+ (* -1 (* c (+ (* 3 a) (* 6 a)))) (pow b 2)) |
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(+ (* c (- (* c (- (* -1 (* c (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 3 a) (* 6 a)) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* 9 (/ (pow a 2) (pow b 2))) (* 18 (/ (pow a 2) (pow b 2))))) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* -1 (/ (* (+ (* 3 a) (* 6 a)) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (pow b 6))) (* 27 (/ (pow a 3) (pow b 4))))))) (+ (* -1 (/ (* (+ (* 3 a) (* 6 a)) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* 9 (/ (pow a 2) (pow b 2))) (* 18 (/ (pow a 2) (pow b 2))))))) (+ (* 3 a) (* 6 a)))) (pow b 2)) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt 3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt 3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt 3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt 3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt 3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt 3))))))) |
(* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (sqrt 3))))) |
(* c (+ (* -1/3 (/ b c)) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt 3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt 3)))))) |
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(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt 3)))) |
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt 3)))) (/ b c)) (* (sqrt (/ a c)) (sqrt 3)))) |
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt 3) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt 3)))) (* (sqrt (/ a c)) (sqrt 3))))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt 3)))) (* (sqrt (/ a c)) (sqrt 3)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt 3)))) (* (sqrt (/ a c)) (sqrt 3))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt 3)))) (* (sqrt (/ a c)) (sqrt 3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 7) (pow c 3)))) (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (+ (* -1/9 (/ (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4)))) (pow a 2))) (* 1/243 (/ (pow (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) 2) (pow a 5)))) (sqrt -3)))) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 7) (pow c 3)))) (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* c (- (+ (* 1/18 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) |
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (+ (* -1/9 (/ (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4)))) (pow a 2))) (* 1/243 (/ (pow (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) 2) (pow a 5)))) (sqrt -3)))) (+ (* 1/18 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) |
(* c (+ (* 1/18 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (+ (* -1/9 (/ (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4)))) (pow a 2))) (* 1/243 (/ (pow (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) 2) (pow a 5)))) (sqrt -3)))) (+ (* 1/18 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (+ (* -1/9 (/ (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4)))) (pow a 2))) (* 1/243 (/ (pow (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) 2) (pow a 5)))) (sqrt -3)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 7)))) (/ (+ (* -1/9 (/ (pow b 6) (pow a 2))) (+ (* -1/27 (/ (* (+ (* -1/9 (/ (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4)))) (pow a 2))) (* 1/243 (/ (pow (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) 2) (pow a 5)))) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (pow a 3))) (+ (* 1/324 (/ (* c (pow (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) 2)) (* (pow a 5) (pow (sqrt -3) 2)))) (* 1/243 (/ (* (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4)))) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (pow a 5)))))) (sqrt -3)))) (+ (* 1/18 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
(* c (- (/ (pow b 2) c) (* 3 a))) |
(* c (+ (* -3 a) (* 1/9 (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* (pow a 2) c))))) |
(* c (- (+ (* -3 a) (* -1 (/ (+ (* -1/9 (/ (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4)))) (pow a 2))) (* 1/243 (/ (pow (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) 2) (pow a 5)))) (pow c 2)))) (* -1/9 (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* (pow a 2) c))))) |
(* c (- (+ (* -3 a) (* -1 (/ (+ (* -1/9 (/ (pow b 6) (pow a 2))) (+ (* -1/27 (/ (* (+ (* -1/9 (/ (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4)))) (pow a 2))) (* 1/243 (/ (pow (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) 2) (pow a 5)))) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (pow a 3))) (* 1/243 (/ (* (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4)))) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (pow a 5))))) (pow c 3)))) (+ (* -1/9 (/ (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4)))) (* (pow a 2) (pow c 2)))) (+ (* -1/9 (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* (pow a 2) c))) (* 1/243 (/ (pow (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) 2) (* (pow a 5) (pow c 2)))))))) |
(* (pow c 4) (- (/ (pow b 8) (pow c 4)) (* 81 (pow a 4)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -3) (sqrt -1)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -3) (sqrt -1))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -3) (sqrt -1))))))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -3) (sqrt -1)))) (* 1/3 (/ b c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3))))) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -3) (sqrt -1))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt -3))))) c)) (* -1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -3) (sqrt -1))))))) |
(* -1 (* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (* (sqrt -3) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3))))) c)) (* (sqrt (/ a c)) (* (sqrt -3) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt -3))))) c))) c)) (* (sqrt (/ a c)) (* (sqrt -3) (sqrt -1)))))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ a c)) (* (sqrt -3) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ a c)) (* (sqrt -3) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ a c)) (* (sqrt -3) (sqrt -1)))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/54 (* (sqrt (/ 1 (* (pow a 7) c))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/54 (* (sqrt (/ c (pow a 7))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (sqrt 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt -1) (+ (* -1/9 (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (pow a 2))) (* -1/243 (/ (pow (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) 2) (pow a 5))))) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* 1/18 (* (sqrt (/ c (pow a 5))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (sqrt 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (+ (* -1/9 (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (pow a 2))) (* -1/243 (/ (pow (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) 2) (pow a 5))))) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* 1/18 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* 1/18 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (sqrt 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (* (sqrt -1) (+ (* -1/9 (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (pow a 2))) (* -1/243 (/ (pow (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) 2) (pow a 5))))) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ c a)) (/ (* (sqrt -1) (+ (* -1/9 (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (pow a 2))) (* -1/243 (/ (pow (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) 2) (pow a 5))))) (sqrt 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (+ (* -1/9 (/ (pow b 6) (pow a 2))) (+ (* -1/243 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (pow a 5))) (+ (* -1/324 (/ (* c (pow (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) 2)) (* (pow a 5) (pow (sqrt 3) 2)))) (* 1/27 (/ (* (+ (* -1/9 (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (pow a 2))) (* -1/243 (/ (pow (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) 2) (pow a 5)))) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (pow a 3))))))) (sqrt 3))))) (pow c 3))) (+ (* 1/18 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a)))) |
(* -1 (* c (+ (* -1/9 (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* (pow a 2) c))) (* 3 a)))) |
(* -1 (* c (+ (* -1 (/ (- (+ (* -1/9 (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (* (pow a 2) c))) (* -1/243 (/ (pow (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) 2) (* (pow a 5) c)))) (* -1/9 (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (pow a 2)))) c)) (* 3 a)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/9 (/ (pow b 6) (* (pow a 2) c))) (+ (* -1/243 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (* (pow a 5) c))) (* 1/27 (/ (* (+ (* -1/9 (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (pow a 2))) (* -1/243 (/ (pow (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) 2) (pow a 5)))) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (* (pow a 3) c))))) (+ (* -1/9 (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (pow a 2))) (* -1/243 (/ (pow (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) 2) (pow a 5))))) c)) (* -1/9 (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (pow a 2)))) c)) (* 3 a)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 26.0ms | a | @ | inf | ((/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (neg b) (sqrt (+ (* (* -3 a) c) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ b a)) (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt (- (* b b) (* (* 3 a) c))) (/ (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) a) (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) (- b (sqrt (+ (* c (* a 3)) (* b b)))) (sqrt (+ (* c (* a 3)) (* b b))) (/ (+ (neg b) (sqrt (/ (- (pow b 8) (pow (* (* -3 a) c) 4)) (pow (+ (* c (* a 3)) (* b b)) 3)))) (* 3 a)) (+ (neg b) (sqrt (/ (- (pow b 8) (pow (* (* -3 a) c) 4)) (pow (+ (* c (* a 3)) (* b b)) 3)))) (sqrt (/ (- (pow b 8) (pow (* (* -3 a) c) 4)) (pow (+ (* c (* a 3)) (* b b)) 3))) (- (* b b) (* (* 3 a) c)) (/ (- (pow b 8) (pow (* (* -3 a) c) 4)) (pow (+ (* c (* a 3)) (* b b)) 3)) (- (pow b 8) (pow (* (* -3 a) c) 4))) |
| 21.0ms | b | @ | inf | ((/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (neg b) (sqrt (+ (* (* -3 a) c) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ b a)) (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt (- (* b b) (* (* 3 a) c))) (/ (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) a) (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) (- b (sqrt (+ (* c (* a 3)) (* b b)))) (sqrt (+ (* c (* a 3)) (* b b))) (/ (+ (neg b) (sqrt (/ (- (pow b 8) (pow (* (* -3 a) c) 4)) (pow (+ (* c (* a 3)) (* b b)) 3)))) (* 3 a)) (+ (neg b) (sqrt (/ (- (pow b 8) (pow (* (* -3 a) c) 4)) (pow (+ (* c (* a 3)) (* b b)) 3)))) (sqrt (/ (- (pow b 8) (pow (* (* -3 a) c) 4)) (pow (+ (* c (* a 3)) (* b b)) 3))) (- (* b b) (* (* 3 a) c)) (/ (- (pow b 8) (pow (* (* -3 a) c) 4)) (pow (+ (* c (* a 3)) (* b b)) 3)) (- (pow b 8) (pow (* (* -3 a) c) 4))) |
| 12.0ms | a | @ | -inf | ((/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (neg b) (sqrt (+ (* (* -3 a) c) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ b a)) (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt (- (* b b) (* (* 3 a) c))) (/ (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) a) (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) (- b (sqrt (+ (* c (* a 3)) (* b b)))) (sqrt (+ (* c (* a 3)) (* b b))) (/ (+ (neg b) (sqrt (/ (- (pow b 8) (pow (* (* -3 a) c) 4)) (pow (+ (* c (* a 3)) (* b b)) 3)))) (* 3 a)) (+ (neg b) (sqrt (/ (- (pow b 8) (pow (* (* -3 a) c) 4)) (pow (+ (* c (* a 3)) (* b b)) 3)))) (sqrt (/ (- (pow b 8) (pow (* (* -3 a) c) 4)) (pow (+ (* c (* a 3)) (* b b)) 3))) (- (* b b) (* (* 3 a) c)) (/ (- (pow b 8) (pow (* (* -3 a) c) 4)) (pow (+ (* c (* a 3)) (* b b)) 3)) (- (pow b 8) (pow (* (* -3 a) c) 4))) |
| 12.0ms | a | @ | 0 | ((/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (neg b) (sqrt (+ (* (* -3 a) c) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ b a)) (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt (- (* b b) (* (* 3 a) c))) (/ (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) a) (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) (- b (sqrt (+ (* c (* a 3)) (* b b)))) (sqrt (+ (* c (* a 3)) (* b b))) (/ (+ (neg b) (sqrt (/ (- (pow b 8) (pow (* (* -3 a) c) 4)) (pow (+ (* c (* a 3)) (* b b)) 3)))) (* 3 a)) (+ (neg b) (sqrt (/ (- (pow b 8) (pow (* (* -3 a) c) 4)) (pow (+ (* c (* a 3)) (* b b)) 3)))) (sqrt (/ (- (pow b 8) (pow (* (* -3 a) c) 4)) (pow (+ (* c (* a 3)) (* b b)) 3))) (- (* b b) (* (* 3 a) c)) (/ (- (pow b 8) (pow (* (* -3 a) c) 4)) (pow (+ (* c (* a 3)) (* b b)) 3)) (- (pow b 8) (pow (* (* -3 a) c) 4))) |
| 9.0ms | c | @ | 0 | ((/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (neg b) (sqrt (+ (* (* -3 a) c) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ b a)) (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt (- (* b b) (* (* 3 a) c))) (/ (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) a) (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) (- b (sqrt (+ (* c (* a 3)) (* b b)))) (sqrt (+ (* c (* a 3)) (* b b))) (/ (+ (neg b) (sqrt (/ (- (pow b 8) (pow (* (* -3 a) c) 4)) (pow (+ (* c (* a 3)) (* b b)) 3)))) (* 3 a)) (+ (neg b) (sqrt (/ (- (pow b 8) (pow (* (* -3 a) c) 4)) (pow (+ (* c (* a 3)) (* b b)) 3)))) (sqrt (/ (- (pow b 8) (pow (* (* -3 a) c) 4)) (pow (+ (* c (* a 3)) (* b b)) 3))) (- (* b b) (* (* 3 a) c)) (/ (- (pow b 8) (pow (* (* -3 a) c) 4)) (pow (+ (* c (* a 3)) (* b b)) 3)) (- (pow b 8) (pow (* (* -3 a) c) 4))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 2011 | 17393 |
| 1 | 6521 | 17251 |
| 0 | 8744 | 16534 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* -3/2 (/ (* a c) b)) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(* -2/3 (/ b a)) |
(/ b a) |
(* 1/2 (/ c b)) |
(+ (* -3/8 (/ (* a (pow c 2)) (pow b 3))) (* 1/2 (/ c b))) |
(+ (* 1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* 9/16 (/ (* a (pow c 3)) (pow b 5)))))) |
(+ (* 1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* 9/16 (/ (pow c 3) (pow b 5)))))))) |
(* 1/2 (/ (* a c) b)) |
(* a (+ (* -3/8 (/ (* a (pow c 2)) (pow b 3))) (* 1/2 (/ c b)))) |
(* a (+ (* 1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* 9/16 (/ (* a (pow c 3)) (pow b 5))))))) |
(* a (+ (* 1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* 9/16 (/ (pow c 3) (pow b 5))))))))) |
(* a (- (* 9/8 (/ (* a (pow c 2)) (pow b 3))) (* 3/2 (/ c b)))) |
(* a (- (* a (- (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* 3/2 (/ c b)))) |
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* 27/16 (/ (pow c 3) (pow b 5))))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* 3/2 (/ c b)))) |
(+ b (* 3/2 (/ (* a c) b))) |
(+ b (* a (+ (* -9/8 (/ (* a (pow c 2)) (pow b 3))) (* 3/2 (/ c b))))) |
(+ b (* a (+ (* 3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* 27/16 (/ (* a (pow c 3)) (pow b 5)))))))) |
(* -1/6 (/ (+ (* 3 c) (* 6 c)) b)) |
(+ (* -1/6 (/ (* a (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* 1/4 (/ (pow (+ (* 3 c) (* 6 c)) 2) (pow b 2))) (+ (* 9 (/ (pow c 2) (pow b 2))) (* 18 (/ (pow c 2) (pow b 2))))))) b)) (* -1/6 (/ (+ (* 3 c) (* 6 c)) b))) |
(+ (* -1/6 (/ (+ (* 3 c) (* 6 c)) b)) (* a (+ (* -1/6 (/ (* a (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* 9 (/ (pow c 2) (pow b 2))) (* 18 (/ (pow c 2) (pow b 2))))) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (pow b 6))) (+ (* 1/2 (/ (* (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* 1/4 (/ (pow (+ (* 3 c) (* 6 c)) 2) (pow b 2))) (+ (* 9 (/ (pow c 2) (pow b 2))) (* 18 (/ (pow c 2) (pow b 2)))))) (+ (* 3 c) (* 6 c))) (pow b 2))) (* 27 (/ (pow c 3) (pow b 4))))))) b)) (* -1/6 (/ (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* 1/4 (/ (pow (+ (* 3 c) (* 6 c)) 2) (pow b 2))) (+ (* 9 (/ (pow c 2) (pow b 2))) (* 18 (/ (pow c 2) (pow b 2)))))) b))))) |
(+ (* -1/6 (/ (+ (* 3 c) (* 6 c)) b)) (* a (+ (* -1/6 (/ (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* 1/4 (/ (pow (+ (* 3 c) (* 6 c)) 2) (pow b 2))) (+ (* 9 (/ (pow c 2) (pow b 2))) (* 18 (/ (pow c 2) (pow b 2)))))) b)) (* a (+ (* -1/6 (/ (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* 9 (/ (pow c 2) (pow b 2))) (* 18 (/ (pow c 2) (pow b 2))))) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (pow b 6))) (+ (* 1/2 (/ (* (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* 1/4 (/ (pow (+ (* 3 c) (* 6 c)) 2) (pow b 2))) (+ (* 9 (/ (pow c 2) (pow b 2))) (* 18 (/ (pow c 2) (pow b 2)))))) (+ (* 3 c) (* 6 c))) (pow b 2))) (* 27 (/ (pow c 3) (pow b 4)))))) b)) (* 1/6 (/ (* a (- (* -81 (/ (pow c 4) (pow b 6))) (+ (* -27 (/ (* (pow c 3) (+ (* 3 c) (* 6 c))) (pow b 6))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* 9 (/ (pow c 2) (pow b 2))) (* 18 (/ (pow c 2) (pow b 2))))) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (pow b 6))) (* 27 (/ (pow c 3) (pow b 4))))) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* 9 (/ (pow c 2) (pow b 2))) (* 18 (/ (pow c 2) (pow b 2))))) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (pow b 6))) (+ (* 1/4 (/ (pow (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* 1/4 (/ (pow (+ (* 3 c) (* 6 c)) 2) (pow b 2))) (+ (* 9 (/ (pow c 2) (pow b 2))) (* 18 (/ (pow c 2) (pow b 2)))))) 2) (pow b 2))) (* 1/2 (/ (* (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* 9 (/ (pow c 2) (pow b 2))) (* 18 (/ (pow c 2) (pow b 2))))) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (pow b 6))) (+ (* 1/2 (/ (* (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* 1/4 (/ (pow (+ (* 3 c) (* 6 c)) 2) (pow b 2))) (+ (* 9 (/ (pow c 2) (pow b 2))) (* 18 (/ (pow c 2) (pow b 2)))))) (+ (* 3 c) (* 6 c))) (pow b 2))) (* 27 (/ (pow c 3) (pow b 4)))))) (+ (* 3 c) (* 6 c))) (pow b 2))))))))) b))))))) |
(* -1/2 (/ (* a (+ (* 3 c) (* 6 c))) b)) |
(* a (+ (* -1/2 (/ (* a (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* 1/4 (/ (pow (+ (* 3 c) (* 6 c)) 2) (pow b 2))) (+ (* 9 (/ (pow c 2) (pow b 2))) (* 18 (/ (pow c 2) (pow b 2))))))) b)) (* -1/2 (/ (+ (* 3 c) (* 6 c)) b)))) |
(* a (+ (* -1/2 (/ (+ (* 3 c) (* 6 c)) b)) (* a (+ (* -1/2 (/ (* a (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* 9 (/ (pow c 2) (pow b 2))) (* 18 (/ (pow c 2) (pow b 2))))) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (pow b 6))) (+ (* 1/2 (/ (* (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* 1/4 (/ (pow (+ (* 3 c) (* 6 c)) 2) (pow b 2))) (+ (* 9 (/ (pow c 2) (pow b 2))) (* 18 (/ (pow c 2) (pow b 2)))))) (+ (* 3 c) (* 6 c))) (pow b 2))) (* 27 (/ (pow c 3) (pow b 4))))))) b)) (* -1/2 (/ (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* 1/4 (/ (pow (+ (* 3 c) (* 6 c)) 2) (pow b 2))) (+ (* 9 (/ (pow c 2) (pow b 2))) (* 18 (/ (pow c 2) (pow b 2)))))) b)))))) |
(* a (+ (* -1/2 (/ (+ (* 3 c) (* 6 c)) b)) (* a (+ (* -1/2 (/ (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* 1/4 (/ (pow (+ (* 3 c) (* 6 c)) 2) (pow b 2))) (+ (* 9 (/ (pow c 2) (pow b 2))) (* 18 (/ (pow c 2) (pow b 2)))))) b)) (* a (+ (* -1/2 (/ (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* 9 (/ (pow c 2) (pow b 2))) (* 18 (/ (pow c 2) (pow b 2))))) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (pow b 6))) (+ (* 1/2 (/ (* (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* 1/4 (/ (pow (+ (* 3 c) (* 6 c)) 2) (pow b 2))) (+ (* 9 (/ (pow c 2) (pow b 2))) (* 18 (/ (pow c 2) (pow b 2)))))) (+ (* 3 c) (* 6 c))) (pow b 2))) (* 27 (/ (pow c 3) (pow b 4)))))) b)) (* 1/2 (/ (* a (- (* -81 (/ (pow c 4) (pow b 6))) (+ (* -27 (/ (* (pow c 3) (+ (* 3 c) (* 6 c))) (pow b 6))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* 9 (/ (pow c 2) (pow b 2))) (* 18 (/ (pow c 2) (pow b 2))))) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (pow b 6))) (* 27 (/ (pow c 3) (pow b 4))))) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* 9 (/ (pow c 2) (pow b 2))) (* 18 (/ (pow c 2) (pow b 2))))) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (pow b 6))) (+ (* 1/4 (/ (pow (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* 1/4 (/ (pow (+ (* 3 c) (* 6 c)) 2) (pow b 2))) (+ (* 9 (/ (pow c 2) (pow b 2))) (* 18 (/ (pow c 2) (pow b 2)))))) 2) (pow b 2))) (* 1/2 (/ (* (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* 9 (/ (pow c 2) (pow b 2))) (* 18 (/ (pow c 2) (pow b 2))))) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (pow b 6))) (+ (* 1/2 (/ (* (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* 1/4 (/ (pow (+ (* 3 c) (* 6 c)) 2) (pow b 2))) (+ (* 9 (/ (pow c 2) (pow b 2))) (* 18 (/ (pow c 2) (pow b 2)))))) (+ (* 3 c) (* 6 c))) (pow b 2))) (* 27 (/ (pow c 3) (pow b 4)))))) (+ (* 3 c) (* 6 c))) (pow b 2))))))))) b)))))))) |
(+ b (* -1/2 (/ (* a (+ (* 3 c) (* 6 c))) b))) |
(+ b (* a (+ (* -1/2 (/ (* a (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* 1/4 (/ (pow (+ (* 3 c) (* 6 c)) 2) (pow b 2))) (+ (* 9 (/ (pow c 2) (pow b 2))) (* 18 (/ (pow c 2) (pow b 2))))))) b)) (* -1/2 (/ (+ (* 3 c) (* 6 c)) b))))) |
(+ b (* a (+ (* -1/2 (/ (+ (* 3 c) (* 6 c)) b)) (* a (+ (* -1/2 (/ (* a (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* 9 (/ (pow c 2) (pow b 2))) (* 18 (/ (pow c 2) (pow b 2))))) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (pow b 6))) (+ (* 1/2 (/ (* (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* 1/4 (/ (pow (+ (* 3 c) (* 6 c)) 2) (pow b 2))) (+ (* 9 (/ (pow c 2) (pow b 2))) (* 18 (/ (pow c 2) (pow b 2)))))) (+ (* 3 c) (* 6 c))) (pow b 2))) (* 27 (/ (pow c 3) (pow b 4))))))) b)) (* -1/2 (/ (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* 1/4 (/ (pow (+ (* 3 c) (* 6 c)) 2) (pow b 2))) (+ (* 9 (/ (pow c 2) (pow b 2))) (* 18 (/ (pow c 2) (pow b 2)))))) b))))))) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* -1 (* a (+ (* 3 c) (* 6 c)))) (pow b 2)) |
(+ (* a (- (* -1 (* a (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* 9 (/ (pow c 2) (pow b 2))) (* 18 (/ (pow c 2) (pow b 2))))))) (+ (* 3 c) (* 6 c)))) (pow b 2)) |
(+ (* a (- (* a (- (* -1 (* a (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* 9 (/ (pow c 2) (pow b 2))) (* 18 (/ (pow c 2) (pow b 2))))) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (pow b 6))) (* 27 (/ (pow c 3) (pow b 4))))))) (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* 9 (/ (pow c 2) (pow b 2))) (* 18 (/ (pow c 2) (pow b 2))))))) (+ (* 3 c) (* 6 c)))) (pow b 2)) |
(pow b 8) |
(+ (* -81 (* (pow a 4) (pow c 4))) (pow b 8)) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt 3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt 3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt 3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt 3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt 3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt 3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt 3)))))) |
(* 1/3 (* (sqrt (* a c)) (sqrt 3))) |
(* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt 3))))) |
(* a (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt 3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt 3)))))) |
(* a (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt 3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt 3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt 3))))))) |
(* -1 (* (sqrt (* a c)) (sqrt 3))) |
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt 3)))) |
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt 3)))) (/ b a)) (* (sqrt (/ c a)) (sqrt 3)))) |
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt 3) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt 3)))) (* (sqrt (/ c a)) (sqrt 3))))) |
(* (sqrt (* a c)) (sqrt 3)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt 3)))) (* (sqrt (/ c a)) (sqrt 3)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt 3)))) (* (sqrt (/ c a)) (sqrt 3))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt 3)))) (* (sqrt (/ c a)) (sqrt 3)))))) |
(+ (* -1/3 (/ b a)) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (+ (* -1/9 (/ (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c))) (pow c 2))) (* 1/243 (/ (pow (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) 2) (pow c 5)))) (sqrt -3)))) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* a (- (+ (* 1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (+ (* -1/9 (/ (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c))) (pow c 2))) (* 1/243 (/ (pow (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) 2) (pow c 5)))) (sqrt -3)))) (+ (* 1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) |
(* a (+ (* 1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (+ (* -1/9 (/ (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c))) (pow c 2))) (* 1/243 (/ (pow (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) 2) (pow c 5)))) (sqrt -3)))) (+ (* 1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* a (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (+ (* -1/9 (/ (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c))) (pow c 2))) (* 1/243 (/ (pow (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) 2) (pow c 5)))) (sqrt -3)))) (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 7) c))) (/ (+ (* -1/9 (/ (pow b 6) (pow c 2))) (+ (* -1/27 (/ (* (+ (* -1/9 (/ (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c))) (pow c 2))) (* 1/243 (/ (pow (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) 2) (pow c 5)))) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (pow c 3))) (+ (* 1/324 (/ (* a (pow (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) 2)) (* (pow c 5) (pow (sqrt -3) 2)))) (* 1/243 (/ (* (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c))) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (pow c 5)))))) (sqrt -3)))) (+ (* 1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -3 (* a c)) |
(* a (- (/ (pow b 2) a) (* 3 c))) |
(* a (+ (* -3 c) (* 1/9 (/ (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* a (pow c 2)))))) |
(* a (- (+ (* -3 c) (* -1 (/ (+ (* -1/9 (/ (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c))) (pow c 2))) (* 1/243 (/ (pow (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) 2) (pow c 5)))) (pow a 2)))) (* -1/9 (/ (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* a (pow c 2)))))) |
(* a (- (+ (* -3 c) (* -1 (/ (+ (* -1/9 (/ (pow b 6) (pow c 2))) (+ (* -1/27 (/ (* (+ (* -1/9 (/ (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c))) (pow c 2))) (* 1/243 (/ (pow (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) 2) (pow c 5)))) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (pow c 3))) (* 1/243 (/ (* (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c))) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (pow c 5))))) (pow a 3)))) (+ (* -1/9 (/ (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c))) (* (pow a 2) (pow c 2)))) (+ (* -1/9 (/ (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* a (pow c 2)))) (* 1/243 (/ (pow (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) 2) (* (pow a 2) (pow c 5)))))))) |
(* -81 (* (pow a 4) (pow c 4))) |
(* (pow a 4) (- (/ (pow b 8) (pow a 4)) (* 81 (pow c 4)))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt -3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1))))) |
(* -1/3 (* (sqrt (* a c)) (* (sqrt -3) (sqrt -1)))) |
(* -1 (* a (+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1)))) (* 1/3 (/ b a))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3))))) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1))))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt -3))))) a)) (* -1/3 b)) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1))))))) |
(* (sqrt (* a c)) (* (sqrt -3) (sqrt -1))) |
(* -1 (* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3))))) a)) (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt -3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1)))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -3) (sqrt -1)))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1)))))))) |
(+ (* -1 (/ (+ (* 1/54 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (+ (* -1/9 (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (pow c 2))) (* -1/243 (/ (pow (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) 2) (pow c 5))))) (sqrt 3)))) (* -1/54 (* (sqrt (/ a (pow c 5))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (sqrt 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
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(* -1 (* a (+ (* 1/18 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (sqrt -1) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (sqrt 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (sqrt -1) (+ (* -1/9 (/ (+ (* -6 (* (pow b 4) c)) (* -3 (* (pow b 4) c))) (pow c 2))) (* -1/243 (/ (pow (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) 2) (pow c 5))))) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
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(* -1 (* a (+ (* -1/9 (/ (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2)))) (* a (pow c 2)))) (* 3 c)))) |
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(* -1 b) |
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(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt 3)))))) (* (sqrt (* a c)) (sqrt 3))) |
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(- (pow b 2) (* 3 (* a c))) |
(+ (* -3 (* a c)) (* 1/9 (/ (* (pow b 2) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2))))) (* (pow a 2) (pow c 2))))) |
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(- (pow b 8) (* 81 (* (pow a 4) (pow c 4)))) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(/ (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b) |
(/ (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b) |
(/ (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 1/2 c) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4)))))) b) |
(/ (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 1/2 (* a c))) b) |
(/ (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* 1/2 (* a c)) (* 9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))))) b) |
(/ (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 1/2 (* a c)) (* 9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4)))))) b) |
(/ (- (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c))) b) |
(/ (- (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c)))) b) |
(/ (- (* 1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* 3/2 (* a c)) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4)))))) b) |
(* b (+ 1 (* 3/2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 3/2 (/ (* a c) (pow b 2)))))) |
(* b (+ 1 (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* 3/2 (/ (* a c) (pow b 2))) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))))))) |
(* -1/6 (/ (+ (* 3 (* a c)) (* 6 (* a c))) (* a b))) |
(/ (+ (* -1/6 (/ (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 1/4 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) (* a (pow b 2)))) (* -1/6 (/ (+ (* 3 (* a c)) (* 6 (* a c))) a))) b) |
(/ (+ (* -1/6 (/ (+ (* -1 (* (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2))))) (+ (* 3 (* a c)) (* 6 (* a c))))) (+ (* -1 (* (+ (* 3 (* a c)) (* 6 (* a c))) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) (+ (* 1/2 (* (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 1/4 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) (+ (* 3 (* a c)) (* 6 (* a c))))) (* 27 (* (pow a 3) (pow c 3)))))) (* a (pow b 4)))) (+ (* -1/6 (/ (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 1/4 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) (* a (pow b 2)))) (* -1/6 (/ (+ (* 3 (* a c)) (* 6 (* a c))) a)))) b) |
(/ (+ (* -1/6 (/ (+ (* -1 (* (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2))))) (+ (* 3 (* a c)) (* 6 (* a c))))) (+ (* -1 (* (+ (* 3 (* a c)) (* 6 (* a c))) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) (+ (* 1/2 (* (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 1/4 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) (+ (* 3 (* a c)) (* 6 (* a c))))) (* 27 (* (pow a 3) (pow c 3)))))) (* a (pow b 4)))) (+ (* -1/6 (/ (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 1/4 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) (* a (pow b 2)))) (+ (* -1/6 (/ (+ (* 3 (* a c)) (* 6 (* a c))) a)) (* 1/6 (/ (- (* -81 (* (pow a 4) (pow c 4))) (+ (* -27 (* (pow a 3) (* (pow c 3) (+ (* 3 (* a c)) (* 6 (* a c)))))) (+ (* -1 (* (+ (* -1 (* (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2))))) (+ (* 3 (* a c)) (* 6 (* a c))))) (+ (* -1 (* (+ (* 3 (* a c)) (* 6 (* a c))) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) (* 27 (* (pow a 3) (pow c 3))))) (+ (* 3 (* a c)) (* 6 (* a c))))) (+ (* -1 (* (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2))))) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) (+ (* 1/4 (pow (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 1/4 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) 2)) (* 1/2 (* (+ (* -1 (* (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2))))) (+ (* 3 (* a c)) (* 6 (* a c))))) (+ (* -1 (* (+ (* 3 (* a c)) (* 6 (* a c))) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) (+ (* 1/2 (* (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 1/4 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) (+ (* 3 (* a c)) (* 6 (* a c))))) (* 27 (* (pow a 3) (pow c 3)))))) (+ (* 3 (* a c)) (* 6 (* a c)))))))))) (* a (pow b 6))))))) b) |
(* -1/2 (/ (+ (* 3 (* a c)) (* 6 (* a c))) b)) |
(/ (+ (* -1/2 (+ (* 3 (* a c)) (* 6 (* a c)))) (* -1/2 (/ (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 1/4 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) (pow b 2)))) b) |
(/ (+ (* -1/2 (+ (* 3 (* a c)) (* 6 (* a c)))) (+ (* -1/2 (/ (+ (* -1 (* (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2))))) (+ (* 3 (* a c)) (* 6 (* a c))))) (+ (* -1 (* (+ (* 3 (* a c)) (* 6 (* a c))) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) (+ (* 1/2 (* (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 1/4 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) (+ (* 3 (* a c)) (* 6 (* a c))))) (* 27 (* (pow a 3) (pow c 3)))))) (pow b 4))) (* -1/2 (/ (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 1/4 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) (pow b 2))))) b) |
(/ (+ (* -1/2 (+ (* 3 (* a c)) (* 6 (* a c)))) (+ (* -1/2 (/ (+ (* -1 (* (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2))))) (+ (* 3 (* a c)) (* 6 (* a c))))) (+ (* -1 (* (+ (* 3 (* a c)) (* 6 (* a c))) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) (+ (* 1/2 (* (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 1/4 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) (+ (* 3 (* a c)) (* 6 (* a c))))) (* 27 (* (pow a 3) (pow c 3)))))) (pow b 4))) (+ (* -1/2 (/ (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 1/4 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) (pow b 2))) (* 1/2 (/ (- (* -81 (* (pow a 4) (pow c 4))) (+ (* -27 (* (pow a 3) (* (pow c 3) (+ (* 3 (* a c)) (* 6 (* a c)))))) (+ (* -1 (* (+ (* -1 (* (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2))))) (+ (* 3 (* a c)) (* 6 (* a c))))) (+ (* -1 (* (+ (* 3 (* a c)) (* 6 (* a c))) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) (* 27 (* (pow a 3) (pow c 3))))) (+ (* 3 (* a c)) (* 6 (* a c))))) (+ (* -1 (* (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2))))) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) (+ (* 1/4 (pow (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 1/4 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) 2)) (* 1/2 (* (+ (* -1 (* (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2))))) (+ (* 3 (* a c)) (* 6 (* a c))))) (+ (* -1 (* (+ (* 3 (* a c)) (* 6 (* a c))) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) (+ (* 1/2 (* (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 1/4 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) (+ (* 3 (* a c)) (* 6 (* a c))))) (* 27 (* (pow a 3) (pow c 3)))))) (+ (* 3 (* a c)) (* 6 (* a c)))))))))) (pow b 6)))))) b) |
(* b (+ 1 (* -1/2 (/ (+ (* 3 (* a c)) (* 6 (* a c))) (pow b 2))))) |
(* b (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 1/4 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) (pow b 4))) (* -1/2 (/ (+ (* 3 (* a c)) (* 6 (* a c))) (pow b 2)))))) |
(* b (+ 1 (+ (* -1/2 (/ (+ (* -1 (* (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2))))) (+ (* 3 (* a c)) (* 6 (* a c))))) (+ (* -1 (* (+ (* 3 (* a c)) (* 6 (* a c))) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) (+ (* 1/2 (* (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 1/4 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) (+ (* 3 (* a c)) (* 6 (* a c))))) (* 27 (* (pow a 3) (pow c 3)))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 1/4 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) (pow b 4))) (* -1/2 (/ (+ (* 3 (* a c)) (* 6 (* a c))) (pow b 2))))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* -1 (/ (+ (* 3 (* a c)) (* 6 (* a c))) (pow b 2))))) |
(* (pow b 2) (- (+ 1 (* -1 (/ (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2))))) (pow b 4)))) (+ (* 3 (/ (* a c) (pow b 2))) (* 6 (/ (* a c) (pow b 2)))))) |
(* (pow b 2) (- (+ 1 (* -1 (/ (+ (* -1 (* (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2))))) (+ (* 3 (* a c)) (* 6 (* a c))))) (+ (* -1 (* (+ (* 3 (* a c)) (* 6 (* a c))) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) (* 27 (* (pow a 3) (pow c 3))))) (pow b 6)))) (+ (* -1 (/ (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2) (pow b 4))) (+ (* 3 (/ (* a c) (pow b 2))) (+ (* 6 (/ (* a c) (pow b 2))) (+ (* 9 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 18 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))))) |
(* (pow b 8) (+ 1 (* -81 (/ (* (pow a 4) (pow c 4)) (pow b 8))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -2 b) |
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (* b (+ (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (+ (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (+ (* 1/2 (/ c (pow b 2))) (+ (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (* 2/3 (/ 1 a))))))) |
(* -2/3 b) |
(* -1 (* b (+ 2/3 (* 1/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2/3 (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 1/2 (/ (* a c) (pow b 2))))))) |
(* -1 (* b (+ 2/3 (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* 1/2 (/ (* a c) (pow b 2))) (* 9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6)))))))) |
(* 2 b) |
(* -1 (* b (- (* -3/2 (/ (* a c) (pow b 2))) 2))) |
(* -1 (* b (- (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* 3/2 (/ (* a c) (pow b 2))))))) |
(* -1 (* b (- (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 3/2 (/ (* a c) (pow b 2)))))))) |
(* -1 (* b (+ 1 (* 3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 3/2 (/ (* a c) (pow b 2))))))) |
(* -1 (* b (+ 1 (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* 3/2 (/ (* a c) (pow b 2))) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6)))))))) |
(* -1 (* b (+ (* -1/6 (/ (+ (* 3 (* a c)) (* 6 (* a c))) (* a (pow b 2)))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/6 (/ (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 1/4 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) (* a (pow b 4)))) (+ (* -1/6 (/ (+ (* 3 (* a c)) (* 6 (* a c))) (* a (pow b 2)))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -1/6 (/ (+ (* -1 (* (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2))))) (+ (* 3 (* a c)) (* 6 (* a c))))) (+ (* -1 (* (+ (* 3 (* a c)) (* 6 (* a c))) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) (+ (* 1/2 (* (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 1/4 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) (+ (* 3 (* a c)) (* 6 (* a c))))) (* 27 (* (pow a 3) (pow c 3)))))) (* a (pow b 6)))) (+ (* -1/6 (/ (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 1/4 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) (* a (pow b 4)))) (+ (* -1/6 (/ (+ (* 3 (* a c)) (* 6 (* a c))) (* a (pow b 2)))) (* 2/3 (/ 1 a))))))) |
(* -1 (* b (+ 2 (* -1/2 (/ (+ (* 3 (* a c)) (* 6 (* a c))) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -1/2 (/ (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 1/4 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) (pow b 4))) (* -1/2 (/ (+ (* 3 (* a c)) (* 6 (* a c))) (pow b 2))))))) |
(* -1 (* b (+ 2 (+ (* -1/2 (/ (+ (* -1 (* (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2))))) (+ (* 3 (* a c)) (* 6 (* a c))))) (+ (* -1 (* (+ (* 3 (* a c)) (* 6 (* a c))) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) (+ (* 1/2 (* (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 1/4 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) (+ (* 3 (* a c)) (* 6 (* a c))))) (* 27 (* (pow a 3) (pow c 3)))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 1/4 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) (pow b 4))) (* -1/2 (/ (+ (* 3 (* a c)) (* 6 (* a c))) (pow b 2)))))))) |
(* -1 (* b (+ 1 (* -1/2 (/ (+ (* 3 (* a c)) (* 6 (* a c))) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -1/2 (/ (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 1/4 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) (pow b 4))) (* -1/2 (/ (+ (* 3 (* a c)) (* 6 (* a c))) (pow b 2))))))) |
(* -1 (* b (+ 1 (+ (* -1/2 (/ (+ (* -1 (* (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2))))) (+ (* 3 (* a c)) (* 6 (* a c))))) (+ (* -1 (* (+ (* 3 (* a c)) (* 6 (* a c))) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) (+ (* 1/2 (* (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 1/4 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) (+ (* 3 (* a c)) (* 6 (* a c))))) (* 27 (* (pow a 3) (pow c 3)))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -1 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 1/4 (pow (+ (* 3 (* a c)) (* 6 (* a c))) 2)) (+ (* 9 (* (pow a 2) (pow c 2))) (* 18 (* (pow a 2) (pow c 2)))))) (pow b 4))) (* -1/2 (/ (+ (* 3 (* a c)) (* 6 (* a c))) (pow b 2)))))))) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) |
(* c (+ (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (+ (* c (+ (* -3/8 (/ a (pow b 3))) (* 9/16 (/ (* (pow a 2) c) (pow b 5))))) (* 1/2 (/ 1 b)))) |
(* c (+ (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))) (* 9/16 (/ (pow a 2) (pow b 5))))))) (* 1/2 (/ 1 b)))) |
(* c (+ (* -3/8 (/ (* (pow a 2) c) (pow b 3))) (* 1/2 (/ a b)))) |
(* c (+ (* 1/2 (/ a b)) (* c (+ (* -3/8 (/ (pow a 2) (pow b 3))) (* 9/16 (/ (* (pow a 3) c) (pow b 5))))))) |
(* c (+ (* 1/2 (/ a b)) (* c (+ (* -3/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)) (* 9/16 (/ (pow a 3) (pow b 5))))))))) |
(* c (- (* 9/8 (/ (* (pow a 2) c) (pow b 3))) (* 3/2 (/ a b)))) |
(* c (- (* c (- (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))) (* 3/2 (/ a b)))) |
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)) (* 27/16 (/ (pow a 3) (pow b 5))))) (* -9/8 (/ (pow a 2) (pow b 3))))) (* 3/2 (/ a b)))) |
(+ b (* c (+ (* -9/8 (/ (* (pow a 2) c) (pow b 3))) (* 3/2 (/ a b))))) |
(+ b (* c (+ (* 3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* 27/16 (/ (* (pow a 3) c) (pow b 5)))))))) |
(* -1/6 (/ (* c (+ (* 3 a) (* 6 a))) (* a b))) |
(* c (+ (* -1/6 (/ (* c (+ (* -1 (/ (* (+ (* 3 a) (* 6 a)) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* 1/4 (/ (pow (+ (* 3 a) (* 6 a)) 2) (pow b 2))) (+ (* 9 (/ (pow a 2) (pow b 2))) (* 18 (/ (pow a 2) (pow b 2))))))) (* a b))) (* -1/6 (/ (+ (* 3 a) (* 6 a)) (* a b))))) |
(* c (+ (* -1/6 (/ (+ (* 3 a) (* 6 a)) (* a b))) (* c (+ (* -1/6 (/ (* c (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 3 a) (* 6 a)) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* 9 (/ (pow a 2) (pow b 2))) (* 18 (/ (pow a 2) (pow b 2))))) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* -1 (/ (* (+ (* 3 a) (* 6 a)) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (pow b 6))) (+ (* 1/2 (/ (* (+ (* -1 (/ (* (+ (* 3 a) (* 6 a)) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* 1/4 (/ (pow (+ (* 3 a) (* 6 a)) 2) (pow b 2))) (+ (* 9 (/ (pow a 2) (pow b 2))) (* 18 (/ (pow a 2) (pow b 2)))))) (+ (* 3 a) (* 6 a))) (pow b 2))) (* 27 (/ (pow a 3) (pow b 4))))))) (* a b))) (* -1/6 (/ (+ (* -1 (/ (* (+ (* 3 a) (* 6 a)) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* 1/4 (/ (pow (+ (* 3 a) (* 6 a)) 2) (pow b 2))) (+ (* 9 (/ (pow a 2) (pow b 2))) (* 18 (/ (pow a 2) (pow b 2)))))) (* a b))))))) |
(* c (+ (* -1/6 (/ (+ (* 3 a) (* 6 a)) (* a b))) (* c (+ (* -1/6 (/ (+ (* -1 (/ (* (+ (* 3 a) (* 6 a)) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* 1/4 (/ (pow (+ (* 3 a) (* 6 a)) 2) (pow b 2))) (+ (* 9 (/ (pow a 2) (pow b 2))) (* 18 (/ (pow a 2) (pow b 2)))))) (* a b))) (* c (+ (* -1/6 (/ (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 3 a) (* 6 a)) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* 9 (/ (pow a 2) (pow b 2))) (* 18 (/ (pow a 2) (pow b 2))))) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* -1 (/ (* (+ (* 3 a) (* 6 a)) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (pow b 6))) (+ (* 1/2 (/ (* (+ (* -1 (/ (* (+ (* 3 a) (* 6 a)) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* 1/4 (/ (pow (+ (* 3 a) (* 6 a)) 2) (pow b 2))) (+ (* 9 (/ (pow a 2) (pow b 2))) (* 18 (/ (pow a 2) (pow b 2)))))) (+ (* 3 a) (* 6 a))) (pow b 2))) (* 27 (/ (pow a 3) (pow b 4)))))) (* a b))) (* 1/6 (/ (* c (- (* -81 (/ (pow a 4) (pow b 6))) (+ (* -27 (/ (* (pow a 3) (+ (* 3 a) (* 6 a))) (pow b 6))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 3 a) (* 6 a)) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* 9 (/ (pow a 2) (pow b 2))) (* 18 (/ (pow a 2) (pow b 2))))) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* -1 (/ (* (+ (* 3 a) (* 6 a)) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (pow b 6))) (* 27 (/ (pow a 3) (pow b 4))))) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 3 a) (* 6 a)) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* 9 (/ (pow a 2) (pow b 2))) (* 18 (/ (pow a 2) (pow b 2))))) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (pow b 6))) (+ (* 1/4 (/ (pow (+ (* -1 (/ (* (+ (* 3 a) (* 6 a)) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* 1/4 (/ (pow (+ (* 3 a) (* 6 a)) 2) (pow b 2))) (+ (* 9 (/ (pow a 2) (pow b 2))) (* 18 (/ (pow a 2) (pow b 2)))))) 2) (pow b 2))) (* 1/2 (/ (* (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 3 a) (* 6 a)) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* 9 (/ (pow a 2) (pow b 2))) (* 18 (/ (pow a 2) (pow b 2))))) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* -1 (/ (* (+ (* 3 a) (* 6 a)) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (pow b 6))) (+ (* 1/2 (/ (* (+ (* -1 (/ (* (+ (* 3 a) (* 6 a)) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* 1/4 (/ (pow (+ (* 3 a) (* 6 a)) 2) (pow b 2))) (+ (* 9 (/ (pow a 2) (pow b 2))) (* 18 (/ (pow a 2) (pow b 2)))))) (+ (* 3 a) (* 6 a))) (pow b 2))) (* 27 (/ (pow a 3) (pow b 4)))))) (+ (* 3 a) (* 6 a))) (pow b 2))))))))) (* a b))))))))) |
(* -1/2 (/ (* c (+ (* 3 a) (* 6 a))) b)) |
(* c (+ (* -1/2 (/ (* c (+ (* -1 (/ (* (+ (* 3 a) (* 6 a)) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* 1/4 (/ (pow (+ (* 3 a) (* 6 a)) 2) (pow b 2))) (+ (* 9 (/ (pow a 2) (pow b 2))) (* 18 (/ (pow a 2) (pow b 2))))))) b)) (* -1/2 (/ (+ (* 3 a) (* 6 a)) b)))) |
(* c (+ (* -1/2 (/ (+ (* 3 a) (* 6 a)) b)) (* c (+ (* -1/2 (/ (* c (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 3 a) (* 6 a)) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* 9 (/ (pow a 2) (pow b 2))) (* 18 (/ (pow a 2) (pow b 2))))) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* -1 (/ (* (+ (* 3 a) (* 6 a)) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (pow b 6))) (+ (* 1/2 (/ (* (+ (* -1 (/ (* (+ (* 3 a) (* 6 a)) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* 1/4 (/ (pow (+ (* 3 a) (* 6 a)) 2) (pow b 2))) (+ (* 9 (/ (pow a 2) (pow b 2))) (* 18 (/ (pow a 2) (pow b 2)))))) (+ (* 3 a) (* 6 a))) (pow b 2))) (* 27 (/ (pow a 3) (pow b 4))))))) b)) (* -1/2 (/ (+ (* -1 (/ (* (+ (* 3 a) (* 6 a)) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* 1/4 (/ (pow (+ (* 3 a) (* 6 a)) 2) (pow b 2))) (+ (* 9 (/ (pow a 2) (pow b 2))) (* 18 (/ (pow a 2) (pow b 2)))))) b)))))) |
(* c (+ (* -1/2 (/ (+ (* 3 a) (* 6 a)) b)) (* c (+ (* -1/2 (/ (+ (* -1 (/ (* (+ (* 3 a) (* 6 a)) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* 1/4 (/ (pow (+ (* 3 a) (* 6 a)) 2) (pow b 2))) (+ (* 9 (/ (pow a 2) (pow b 2))) (* 18 (/ (pow a 2) (pow b 2)))))) b)) (* c (+ (* -1/2 (/ (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 3 a) (* 6 a)) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* 9 (/ (pow a 2) (pow b 2))) (* 18 (/ (pow a 2) (pow b 2))))) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* -1 (/ (* (+ (* 3 a) (* 6 a)) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (pow b 6))) (+ (* 1/2 (/ (* (+ (* -1 (/ (* (+ (* 3 a) (* 6 a)) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* 1/4 (/ (pow (+ (* 3 a) (* 6 a)) 2) (pow b 2))) (+ (* 9 (/ (pow a 2) (pow b 2))) (* 18 (/ (pow a 2) (pow b 2)))))) (+ (* 3 a) (* 6 a))) (pow b 2))) (* 27 (/ (pow a 3) (pow b 4)))))) b)) (* 1/2 (/ (* c (- (* -81 (/ (pow a 4) (pow b 6))) (+ (* -27 (/ (* (pow a 3) (+ (* 3 a) (* 6 a))) (pow b 6))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 3 a) (* 6 a)) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* 9 (/ (pow a 2) (pow b 2))) (* 18 (/ (pow a 2) (pow b 2))))) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* -1 (/ (* (+ (* 3 a) (* 6 a)) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (pow b 6))) (* 27 (/ (pow a 3) (pow b 4))))) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 3 a) (* 6 a)) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* 9 (/ (pow a 2) (pow b 2))) (* 18 (/ (pow a 2) (pow b 2))))) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (pow b 6))) (+ (* 1/4 (/ (pow (+ (* -1 (/ (* (+ (* 3 a) (* 6 a)) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* 1/4 (/ (pow (+ (* 3 a) (* 6 a)) 2) (pow b 2))) (+ (* 9 (/ (pow a 2) (pow b 2))) (* 18 (/ (pow a 2) (pow b 2)))))) 2) (pow b 2))) (* 1/2 (/ (* (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 3 a) (* 6 a)) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* 9 (/ (pow a 2) (pow b 2))) (* 18 (/ (pow a 2) (pow b 2))))) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* -1 (/ (* (+ (* 3 a) (* 6 a)) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (pow b 6))) (+ (* 1/2 (/ (* (+ (* -1 (/ (* (+ (* 3 a) (* 6 a)) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* 1/4 (/ (pow (+ (* 3 a) (* 6 a)) 2) (pow b 2))) (+ (* 9 (/ (pow a 2) (pow b 2))) (* 18 (/ (pow a 2) (pow b 2)))))) (+ (* 3 a) (* 6 a))) (pow b 2))) (* 27 (/ (pow a 3) (pow b 4)))))) (+ (* 3 a) (* 6 a))) (pow b 2))))))))) b)))))))) |
(+ b (* -1/2 (/ (* c (+ (* 3 a) (* 6 a))) b))) |
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(+ b (* c (+ (* -1/2 (/ (+ (* 3 a) (* 6 a)) b)) (* c (+ (* -1/2 (/ (* c (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 3 a) (* 6 a)) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* 9 (/ (pow a 2) (pow b 2))) (* 18 (/ (pow a 2) (pow b 2))))) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* -1 (/ (* (+ (* 3 a) (* 6 a)) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (pow b 6))) (+ (* 1/2 (/ (* (+ (* -1 (/ (* (+ (* 3 a) (* 6 a)) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* 1/4 (/ (pow (+ (* 3 a) (* 6 a)) 2) (pow b 2))) (+ (* 9 (/ (pow a 2) (pow b 2))) (* 18 (/ (pow a 2) (pow b 2)))))) (+ (* 3 a) (* 6 a))) (pow b 2))) (* 27 (/ (pow a 3) (pow b 4))))))) b)) (* -1/2 (/ (+ (* -1 (/ (* (+ (* 3 a) (* 6 a)) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* 1/4 (/ (pow (+ (* 3 a) (* 6 a)) 2) (pow b 2))) (+ (* 9 (/ (pow a 2) (pow b 2))) (* 18 (/ (pow a 2) (pow b 2)))))) b))))))) |
(+ (* -1 (* c (+ (* 3 a) (* 6 a)))) (pow b 2)) |
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(+ (* c (- (* c (- (* -1 (* c (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 3 a) (* 6 a)) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* 9 (/ (pow a 2) (pow b 2))) (* 18 (/ (pow a 2) (pow b 2))))) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* -1 (/ (* (+ (* 3 a) (* 6 a)) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (pow b 6))) (* 27 (/ (pow a 3) (pow b 4))))))) (+ (* -1 (/ (* (+ (* 3 a) (* 6 a)) (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4))))) (pow b 6))) (+ (* 9 (/ (pow a 2) (pow b 2))) (* 18 (/ (pow a 2) (pow b 2))))))) (+ (* 3 a) (* 6 a)))) (pow b 2)) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt 3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt 3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt 3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt 3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt 3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt 3))))))) |
(* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (sqrt 3))))) |
(* c (+ (* -1/3 (/ b c)) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt 3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt 3)))))) |
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(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt 3)))) |
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt 3)))) (/ b c)) (* (sqrt (/ a c)) (sqrt 3)))) |
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt 3) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt 3)))) (* (sqrt (/ a c)) (sqrt 3))))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt 3)))) (* (sqrt (/ a c)) (sqrt 3)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt 3)))) (* (sqrt (/ a c)) (sqrt 3))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt 3)))) (* (sqrt (/ a c)) (sqrt 3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 7) (pow c 3)))) (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (+ (* -1/9 (/ (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4)))) (pow a 2))) (* 1/243 (/ (pow (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) 2) (pow a 5)))) (sqrt -3)))) (+ (* 1/54 (* (sqrt (/ 1 (* (pow a 7) (pow c 3)))) (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* c (- (+ (* 1/18 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) |
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (+ (* -1/9 (/ (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4)))) (pow a 2))) (* 1/243 (/ (pow (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) 2) (pow a 5)))) (sqrt -3)))) (+ (* 1/18 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) |
(* c (+ (* 1/18 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (+ (* -1/9 (/ (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4)))) (pow a 2))) (* 1/243 (/ (pow (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) 2) (pow a 5)))) (sqrt -3)))) (+ (* 1/18 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (+ (* -1/9 (/ (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4)))) (pow a 2))) (* 1/243 (/ (pow (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) 2) (pow a 5)))) (sqrt -3)))) (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 7)))) (/ (+ (* -1/9 (/ (pow b 6) (pow a 2))) (+ (* -1/27 (/ (* (+ (* -1/9 (/ (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4)))) (pow a 2))) (* 1/243 (/ (pow (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) 2) (pow a 5)))) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (pow a 3))) (+ (* 1/324 (/ (* c (pow (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) 2)) (* (pow a 5) (pow (sqrt -3) 2)))) (* 1/243 (/ (* (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4)))) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (pow a 5)))))) (sqrt -3)))) (+ (* 1/18 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
(* c (- (/ (pow b 2) c) (* 3 a))) |
(* c (+ (* -3 a) (* 1/9 (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* (pow a 2) c))))) |
(* c (- (+ (* -3 a) (* -1 (/ (+ (* -1/9 (/ (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4)))) (pow a 2))) (* 1/243 (/ (pow (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) 2) (pow a 5)))) (pow c 2)))) (* -1/9 (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* (pow a 2) c))))) |
(* c (- (+ (* -3 a) (* -1 (/ (+ (* -1/9 (/ (pow b 6) (pow a 2))) (+ (* -1/27 (/ (* (+ (* -1/9 (/ (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4)))) (pow a 2))) (* 1/243 (/ (pow (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) 2) (pow a 5)))) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (pow a 3))) (* 1/243 (/ (* (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4)))) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (pow a 5))))) (pow c 3)))) (+ (* -1/9 (/ (+ (* 3 (* a (pow b 4))) (* 6 (* a (pow b 4)))) (* (pow a 2) (pow c 2)))) (+ (* -1/9 (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* (pow a 2) c))) (* 1/243 (/ (pow (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) 2) (* (pow a 5) (pow c 2)))))))) |
(* (pow c 4) (- (/ (pow b 8) (pow c 4)) (* 81 (pow a 4)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -3) (sqrt -1)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -3) (sqrt -1))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -3) (sqrt -1))))))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -3) (sqrt -1)))) (* 1/3 (/ b c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3))))) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -3) (sqrt -1))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt -3))))) c)) (* -1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -3) (sqrt -1))))))) |
(* -1 (* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (* (sqrt -3) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3))))) c)) (* (sqrt (/ a c)) (* (sqrt -3) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt -3))))) c))) c)) (* (sqrt (/ a c)) (* (sqrt -3) (sqrt -1)))))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ a c)) (* (sqrt -3) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ a c)) (* (sqrt -3) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ a c)) (* (sqrt -3) (sqrt -1)))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/54 (* (sqrt (/ 1 (* (pow a 7) c))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/54 (* (sqrt (/ c (pow a 7))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (sqrt 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt -1) (+ (* -1/9 (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (pow a 2))) (* -1/243 (/ (pow (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) 2) (pow a 5))))) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* 1/18 (* (sqrt (/ c (pow a 5))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (sqrt 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (+ (* -1/9 (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (pow a 2))) (* -1/243 (/ (pow (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) 2) (pow a 5))))) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* 1/18 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* 1/18 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (sqrt 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (* (sqrt -1) (+ (* -1/9 (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (pow a 2))) (* -1/243 (/ (pow (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) 2) (pow a 5))))) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ c a)) (/ (* (sqrt -1) (+ (* -1/9 (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (pow a 2))) (* -1/243 (/ (pow (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) 2) (pow a 5))))) (sqrt 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (+ (* -1/9 (/ (pow b 6) (pow a 2))) (+ (* -1/243 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (pow a 5))) (+ (* -1/324 (/ (* c (pow (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) 2)) (* (pow a 5) (pow (sqrt 3) 2)))) (* 1/27 (/ (* (+ (* -1/9 (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (pow a 2))) (* -1/243 (/ (pow (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) 2) (pow a 5)))) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (pow a 3))))))) (sqrt 3))))) (pow c 3))) (+ (* 1/18 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a)))) |
(* -1 (* c (+ (* -1/9 (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* (pow a 2) c))) (* 3 a)))) |
(* -1 (* c (+ (* -1 (/ (- (+ (* -1/9 (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (* (pow a 2) c))) (* -1/243 (/ (pow (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) 2) (* (pow a 5) c)))) (* -1/9 (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (pow a 2)))) c)) (* 3 a)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/9 (/ (pow b 6) (* (pow a 2) c))) (+ (* -1/243 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (* (pow a 5) c))) (* 1/27 (/ (* (+ (* -1/9 (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (pow a 2))) (* -1/243 (/ (pow (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) 2) (pow a 5)))) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (* (pow a 3) c))))) (+ (* -1/9 (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (pow a 2))) (* -1/243 (/ (pow (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) 2) (pow a 5))))) c)) (* -1/9 (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (pow a 2)))) c)) (* 3 a)))) |
| Outputs |
|---|
(* -1/2 (/ c b)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(fma.f64 #s(literal -3/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(fma.f64 a (fma.f64 #s(literal -9/16 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/6 binary64) (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
(* -3/2 (/ (* a c) b)) |
(*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b))) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(*.f64 a (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b)))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(*.f64 a (fma.f64 a (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b)))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(*.f64 a (fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) (/.f64 (*.f64 #s(literal -27/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b)))) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(fma.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)) b) |
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(fma.f64 a (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) b) |
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(fma.f64 a (fma.f64 a (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) b) |
(* -2/3 (/ b a)) |
(*.f64 #s(literal -2/3 binary64) (/.f64 b a)) |
(/ b a) |
(/.f64 b a) |
(* 1/2 (/ c b)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 c b)) |
(+ (* -3/8 (/ (* a (pow c 2)) (pow b 3))) (* 1/2 (/ c b))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (pow.f64 b #s(literal 3 binary64)))) |
(+ (* 1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* 9/16 (/ (* a (pow c 3)) (pow b 5)))))) |
(fma.f64 a (fma.f64 #s(literal 9/16 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) |
(+ (* 1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* 9/16 (/ (pow c 3) (pow b 5)))))))) |
(fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/6 binary64) (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) (/.f64 (*.f64 #s(literal 9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) |
(* 1/2 (/ (* a c) b)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b))) |
(* a (+ (* -3/8 (/ (* a (pow c 2)) (pow b 3))) (* 1/2 (/ c b)))) |
(*.f64 a (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 a (*.f64 c c))) (pow.f64 b #s(literal 3 binary64))))) |
(* a (+ (* 1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* 9/16 (/ (* a (pow c 3)) (pow b 5))))))) |
(*.f64 a (fma.f64 a (fma.f64 #s(literal 9/16 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b)))) |
(* a (+ (* 1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* 9/16 (/ (pow c 3) (pow b 5))))))))) |
(*.f64 a (fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/6 binary64) (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) (/.f64 (*.f64 #s(literal 9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b)))) |
(* a (- (* 9/8 (/ (* a (pow c 2)) (pow b 3))) (* 3/2 (/ c b)))) |
(*.f64 a (fma.f64 #s(literal 9/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b)))) |
(* a (- (* a (- (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* 3/2 (/ c b)))) |
(*.f64 a (fma.f64 a (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal 9/8 binary64) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b)))) |
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* 27/16 (/ (pow c 3) (pow b 5))))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* 3/2 (/ c b)))) |
(*.f64 a (fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) (/.f64 (*.f64 #s(literal -27/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal 9/8 binary64) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b)))) |
(+ b (* 3/2 (/ (* a c) b))) |
(fma.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c b)) b) |
(+ b (* a (+ (* -9/8 (/ (* a (pow c 2)) (pow b 3))) (* 3/2 (/ c b))))) |
(fma.f64 a (fma.f64 #s(literal 3/2 binary64) (/.f64 c b) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a (*.f64 c c))) (pow.f64 b #s(literal 3 binary64)))) b) |
(+ b (* a (+ (* 3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* 27/16 (/ (* a (pow c 3)) (pow b 5)))))))) |
(fma.f64 a (fma.f64 a (fma.f64 #s(literal 27/16 binary64) (/.f64 (*.f64 a (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 #s(literal 3/2 binary64) (/.f64 c b))) b) |
(* -1/6 (/ (+ (* 3 c) (* 6 c)) b)) |
(*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 c #s(literal 9 binary64)) b)) |
(+ (* -1/6 (/ (* a (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* 1/4 (/ (pow (+ (* 3 c) (* 6 c)) 2) (pow b 2))) (+ (* 9 (/ (pow c 2) (pow b 2))) (* 18 (/ (pow c 2) (pow b 2))))))) b)) (* -1/6 (/ (+ (* 3 c) (* 6 c)) b))) |
(*.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 a (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 c #s(literal 9 binary64)) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) c) #s(literal 9 binary64))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) b) (/.f64 (pow.f64 (*.f64 c #s(literal 9 binary64)) #s(literal 2 binary64)) b) (*.f64 (*.f64 (/.f64 c b) (/.f64 c b)) #s(literal 27 binary64)))) (*.f64 c #s(literal 9 binary64))) b)) |
(+ (* -1/6 (/ (+ (* 3 c) (* 6 c)) b)) (* a (+ (* -1/6 (/ (* a (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* 9 (/ (pow c 2) (pow b 2))) (* 18 (/ (pow c 2) (pow b 2))))) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 9 (* (pow b 2) (pow c 2))) (* 18 (* (pow b 2) (pow c 2))))) (pow b 6))) (+ (* 1/2 (/ (* (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* 1/4 (/ (pow (+ (* 3 c) (* 6 c)) 2) (pow b 2))) (+ (* 9 (/ (pow c 2) (pow b 2))) (* 18 (/ (pow c 2) (pow b 2)))))) (+ (* 3 c) (* 6 c))) (pow b 2))) (* 27 (/ (pow c 3) (pow b 4))))))) b)) (* -1/6 (/ (+ (* -1 (/ (* (+ (* 3 c) (* 6 c)) (+ (* 3 (* (pow b 4) c)) (* 6 (* (pow b 4) c)))) (pow b 6))) (+ (* 1/4 (/ (pow (+ (* 3 c) (* 6 c)) 2) (pow b 2))) (+ (* 9 (/ (pow c 2) (pow b 2))) (* 18 (/ (pow c 2) (pow b 2)))))) b))))) |
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(neg.f64 (*.f64 c (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64))))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (/.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))) (/.f64 (*.f64 (*.f64 b b) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -1 binary64)))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/54 (* (sqrt (/ 1 (* (pow a 7) c))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(neg.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/54 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 7 binary64)) c)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 a a) (*.f64 b b)) #s(literal 27 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))) c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/54 (* (sqrt (/ c (pow a 7))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (sqrt 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (sqrt -1) (+ (* -1/9 (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (pow a 2))) (* -1/243 (/ (pow (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) 2) (pow a 5))))) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(neg.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64))) (neg.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 b a) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 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 (fma.f64 #s(literal -1/243 binary64) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 b b)) #s(literal 27 binary64)) #s(literal 2 binary64)) (pow.f64 a #s(literal 5 binary64))) (*.f64 (/.f64 #s(literal -1/9 binary64) a) (/.f64 (*.f64 (*.f64 a (pow.f64 b #s(literal 4 binary64))) #s(literal -9 binary64)) a))) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 1/54 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 7 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 a a) (*.f64 b b)) #s(literal 27 binary64))) (sqrt.f64 #s(literal 3 binary64))))) c))) c))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/18 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(neg.f64 (*.f64 c (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)) (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/18 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 a a) (*.f64 b b)) #s(literal 27 binary64))) (sqrt.f64 #s(literal 3 binary64)))) b) c))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* 1/18 (* (sqrt (/ c (pow a 5))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (sqrt 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (+ (* -1/9 (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (pow a 2))) (* -1/243 (/ (pow (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) 2) (pow a 5))))) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(neg.f64 (*.f64 c (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -1/243 binary64) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 b b)) #s(literal 27 binary64)) #s(literal 2 binary64)) (pow.f64 a #s(literal 5 binary64))) (*.f64 (/.f64 #s(literal -1/9 binary64) a) (/.f64 (*.f64 (*.f64 a (pow.f64 b #s(literal 4 binary64))) #s(literal -9 binary64)) a))) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 5 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 a a) (*.f64 b b)) #s(literal 27 binary64))) (sqrt.f64 #s(literal 3 binary64))))) c)) b) c))))) |
(* -1 (* c (+ (* 1/18 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(neg.f64 (*.f64 c (fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 a a) (*.f64 b b)) #s(literal 27 binary64))) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))))) |
(* -1 (* c (+ (* 1/18 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (sqrt 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (* (sqrt -1) (+ (* -1/9 (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (pow a 2))) (* -1/243 (/ (pow (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) 2) (pow a 5))))) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(neg.f64 (*.f64 c (fma.f64 (*.f64 #s(literal 1/18 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 a a) (*.f64 b b)) #s(literal 27 binary64))) (sqrt.f64 #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (pow.f64 c #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -1/243 binary64) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 b b)) #s(literal 27 binary64)) #s(literal 2 binary64)) (pow.f64 a #s(literal 5 binary64))) (*.f64 (/.f64 #s(literal -1/9 binary64) a) (/.f64 (*.f64 (*.f64 a (pow.f64 b #s(literal 4 binary64))) #s(literal -9 binary64)) a))) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ c a)) (/ (* (sqrt -1) (+ (* -1/9 (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (pow a 2))) (* -1/243 (/ (pow (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) 2) (pow a 5))))) (sqrt 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (+ (* -1/9 (/ (pow b 6) (pow a 2))) (+ (* -1/243 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (pow a 5))) (+ (* -1/324 (/ (* c (pow (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) 2)) (* (pow a 5) (pow (sqrt 3) 2)))) (* 1/27 (/ (* (+ (* -1/9 (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (pow a 2))) (* -1/243 (/ (pow (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) 2) (pow a 5)))) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (pow a 3))))))) (sqrt 3))))) (pow c 3))) (+ (* 1/18 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (sqrt -1) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(neg.f64 (*.f64 c (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) a) (/.f64 (pow.f64 b #s(literal 6 binary64)) a) (fma.f64 #s(literal -1/243 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a (pow.f64 b #s(literal 4 binary64))) #s(literal -9 binary64)) (*.f64 (*.f64 (*.f64 a a) (*.f64 b b)) #s(literal 27 binary64))) (pow.f64 a #s(literal 5 binary64))) (fma.f64 #s(literal 1/27 binary64) (*.f64 (fma.f64 #s(literal -1/243 binary64) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 b b)) #s(literal 27 binary64)) #s(literal 2 binary64)) (pow.f64 a #s(literal 5 binary64))) (*.f64 (/.f64 #s(literal -1/9 binary64) a) (/.f64 (*.f64 (*.f64 a (pow.f64 b #s(literal 4 binary64))) #s(literal -9 binary64)) a))) (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 b b)) #s(literal 27 binary64)) (pow.f64 a #s(literal 3 binary64)))) (*.f64 #s(literal -1/324 binary64) (*.f64 (/.f64 c (pow.f64 a #s(literal 5 binary64))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 b b)) #s(literal 27 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64))))))) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -1/243 binary64) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 b b)) #s(literal 27 binary64)) #s(literal 2 binary64)) (pow.f64 a #s(literal 5 binary64))) (*.f64 (/.f64 #s(literal -1/9 binary64) a) (/.f64 (*.f64 (*.f64 a (pow.f64 b #s(literal 4 binary64))) #s(literal -9 binary64)) a))) (sqrt.f64 #s(literal 3 binary64)))))) (pow.f64 c #s(literal 3 binary64))) (fma.f64 #s(literal 1/18 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 a a) (*.f64 b b)) #s(literal 27 binary64))) (sqrt.f64 #s(literal 3 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))))))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a)))) |
(neg.f64 (*.f64 c (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 b b) c) (*.f64 #s(literal 3 binary64) a)))) |
(* -1 (* c (+ (* -1/9 (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (* (pow a 2) c))) (* 3 a)))) |
(neg.f64 (*.f64 c (fma.f64 #s(literal -1/9 binary64) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 b b)) (*.f64 a a)) (/.f64 #s(literal 27 binary64) c)) (*.f64 #s(literal 3 binary64) a)))) |
(* -1 (* c (+ (* -1 (/ (- (+ (* -1/9 (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (* (pow a 2) c))) (* -1/243 (/ (pow (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) 2) (* (pow a 5) c)))) (* -1/9 (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (pow a 2)))) c)) (* 3 a)))) |
(neg.f64 (*.f64 c (fma.f64 #s(literal 3 binary64) a (neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/243 binary64) (pow.f64 a #s(literal 5 binary64))) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 b b)) #s(literal 27 binary64)) #s(literal 2 binary64)) c) (*.f64 (/.f64 #s(literal -1/9 binary64) (*.f64 a a)) (/.f64 (*.f64 (*.f64 a (pow.f64 b #s(literal 4 binary64))) #s(literal -9 binary64)) c))) (*.f64 #s(literal -1/9 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 b b)) #s(literal 27 binary64)) (*.f64 a a)))) c))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/9 (/ (pow b 6) (* (pow a 2) c))) (+ (* -1/243 (/ (* (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (* (pow a 5) c))) (* 1/27 (/ (* (+ (* -1/9 (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (pow a 2))) (* -1/243 (/ (pow (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) 2) (pow a 5)))) (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2))))) (* (pow a 3) c))))) (+ (* -1/9 (/ (+ (* -6 (* a (pow b 4))) (* -3 (* a (pow b 4)))) (pow a 2))) (* -1/243 (/ (pow (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) 2) (pow a 5))))) c)) (* -1/9 (/ (+ (* 9 (* (pow a 2) (pow b 2))) (* 18 (* (pow a 2) (pow b 2)))) (pow a 2)))) c)) (* 3 a)))) |
(neg.f64 (*.f64 c (fma.f64 #s(literal 3 binary64) a (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) (*.f64 a a)) (/.f64 (pow.f64 b #s(literal 6 binary64)) c) (-.f64 (fma.f64 #s(literal 1/27 binary64) (*.f64 (fma.f64 #s(literal -1/243 binary64) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 b b)) #s(literal 27 binary64)) #s(literal 2 binary64)) (pow.f64 a #s(literal 5 binary64))) (*.f64 (/.f64 #s(literal -1/9 binary64) a) (/.f64 (*.f64 (*.f64 a (pow.f64 b #s(literal 4 binary64))) #s(literal -9 binary64)) a))) (*.f64 (/.f64 (*.f64 (*.f64 a a) (*.f64 b b)) (pow.f64 a #s(literal 3 binary64))) (/.f64 #s(literal 27 binary64) c))) (*.f64 #s(literal -1/243 binary64) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 a (pow.f64 b #s(literal 4 binary64))) #s(literal -9 binary64)) (*.f64 (*.f64 (*.f64 a a) (*.f64 b b)) #s(literal 27 binary64))) (pow.f64 a #s(literal 5 binary64))) c))) (fma.f64 #s(literal -1/243 binary64) (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 b b)) #s(literal 27 binary64)) #s(literal 2 binary64)) (pow.f64 a #s(literal 5 binary64))) (*.f64 (/.f64 #s(literal -1/9 binary64) a) (/.f64 (*.f64 (*.f64 a (pow.f64 b #s(literal 4 binary64))) #s(literal -9 binary64)) a))))) c) (*.f64 #s(literal 1/9 binary64) (/.f64 (*.f64 (*.f64 (*.f64 a a) (*.f64 b b)) #s(literal 27 binary64)) (*.f64 a a)))) c))))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 303 |
| 0 | 80 | 303 |
| 1 | 291 | 298 |
| 2 | 2150 | 298 |
| 0 | 8698 | 298 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) |
(neg.f64 b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
(*.f64 #s(literal -2/3 binary64) (/.f64 b a)) |
(/.f64 b a) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) |
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) |
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) #s(literal -3 binary64)) a) |
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) #s(literal -3 binary64)) |
(-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) |
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 4 binary64))) (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 3 binary64))))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 4 binary64))) (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 3 binary64))))) |
(sqrt.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 4 binary64))) (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 3 binary64)))) |
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))) |
(/.f64 (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 4 binary64))) (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 3 binary64))) |
(-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 4 binary64))) |
| Outputs |
|---|
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))) |
(*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))) |
(*.f64 (/.f64 (fma.f64 b b (+.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))))) (fma.f64 b b (+.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) (*.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))))))) (/.f64 (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a))) |
(/.f64 (+.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) a) (/.f64 (neg.f64 b) a)) #s(literal 3 binary64)) |
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(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 24 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) #s(literal 12 binary64)))) (neg.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) #s(literal 4 binary64)) (fma.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 81 binary64) (pow.f64 b #s(literal 8 binary64))) (pow.f64 b #s(literal 16 binary64))))) |
(/.f64 (-.f64 (pow.f64 b #s(literal 16 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 81 binary64) (pow.f64 b #s(literal 8 binary64)))) |
(/.f64 (-.f64 (pow.f64 b #s(literal 24 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) #s(literal 12 binary64))) (fma.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) #s(literal 4 binary64)) (fma.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 81 binary64) (pow.f64 b #s(literal 8 binary64))) (pow.f64 b #s(literal 16 binary64)))) |
(fma.f64 (neg.f64 (neg.f64 (pow.f64 b #s(literal 4 binary64)))) (neg.f64 (neg.f64 (pow.f64 b #s(literal 4 binary64)))) (*.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 2 binary64)))) |
(fma.f64 (neg.f64 (neg.f64 (pow.f64 b #s(literal 4 binary64)))) (neg.f64 (neg.f64 (pow.f64 b #s(literal 4 binary64)))) (*.f64 (neg.f64 (pow.f64 (*.f64 a #s(literal -3 binary64)) #s(literal 4 binary64))) (pow.f64 c #s(literal 4 binary64)))) |
(fma.f64 (pow.f64 (neg.f64 (neg.f64 b)) #s(literal 4 binary64)) (pow.f64 (neg.f64 (neg.f64 b)) #s(literal 4 binary64)) (*.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 2 binary64)))) |
(fma.f64 (pow.f64 (neg.f64 (neg.f64 b)) #s(literal 4 binary64)) (pow.f64 (neg.f64 (neg.f64 b)) #s(literal 4 binary64)) (*.f64 (neg.f64 (pow.f64 (*.f64 a #s(literal -3 binary64)) #s(literal 4 binary64))) (pow.f64 c #s(literal 4 binary64)))) |
(fma.f64 (neg.f64 (pow.f64 b #s(literal 4 binary64))) (neg.f64 (pow.f64 b #s(literal 4 binary64))) (*.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 2 binary64)))) |
(fma.f64 (neg.f64 (pow.f64 b #s(literal 4 binary64))) (neg.f64 (pow.f64 b #s(literal 4 binary64))) (*.f64 (neg.f64 (pow.f64 (*.f64 a #s(literal -3 binary64)) #s(literal 4 binary64))) (pow.f64 c #s(literal 4 binary64)))) |
(fma.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)) (*.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 2 binary64)))) |
(fma.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)) (*.f64 (neg.f64 (pow.f64 (*.f64 a #s(literal -3 binary64)) #s(literal 4 binary64))) (pow.f64 c #s(literal 4 binary64)))) |
(fma.f64 (pow.f64 b #s(literal 6 binary64)) (*.f64 b b) (*.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 2 binary64)))) |
(fma.f64 (pow.f64 b #s(literal 6 binary64)) (*.f64 b b) (*.f64 (neg.f64 (pow.f64 (*.f64 a #s(literal -3 binary64)) #s(literal 4 binary64))) (pow.f64 c #s(literal 4 binary64)))) |
(fma.f64 (*.f64 b b) (pow.f64 b #s(literal 6 binary64)) (*.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 b b) (pow.f64 b #s(literal 6 binary64)) (*.f64 (neg.f64 (pow.f64 (*.f64 a #s(literal -3 binary64)) #s(literal 4 binary64))) (pow.f64 c #s(literal 4 binary64)))) |
(sqrt.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) #s(literal 4 binary64))) (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) #s(literal 4 binary64))))) |
(-.f64 (/.f64 (pow.f64 b #s(literal 16 binary64)) (fma.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 81 binary64) (pow.f64 b #s(literal 8 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 81 binary64) (pow.f64 b #s(literal 8 binary64))))) |
(-.f64 (/.f64 (pow.f64 b #s(literal 24 binary64)) (fma.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) #s(literal 4 binary64)) (fma.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 81 binary64) (pow.f64 b #s(literal 8 binary64))) (pow.f64 b #s(literal 16 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) #s(literal 12 binary64)) (fma.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) #s(literal 4 binary64)) (fma.f64 (pow.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 81 binary64) (pow.f64 b #s(literal 8 binary64))) (pow.f64 b #s(literal 16 binary64))))) |
(-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) #s(literal 4 binary64))) |
(+.f64 (pow.f64 b #s(literal 8 binary64)) (*.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 2 binary64))) (pow.f64 (*.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 2 binary64)))) |
(+.f64 (pow.f64 b #s(literal 8 binary64)) (*.f64 (neg.f64 (pow.f64 (*.f64 a #s(literal -3 binary64)) #s(literal 4 binary64))) (pow.f64 c #s(literal 4 binary64)))) |
Compiled 49 742 to 4 946 computations (90.1% saved)
25 alts after pruning (22 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 919 | 15 | 934 |
| Fresh | 6 | 7 | 13 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 927 | 25 | 952 |
| Status | Accuracy | Program |
|---|---|---|
| 53.3% | (/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) a) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (/.f64 (neg.f64 b) a))) #s(literal 9 binary64)) | |
| 38.5% | (/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 3 binary64)) a (*.f64 a (/.f64 b #s(literal -3 binary64)))) (*.f64 a a)) | |
| 36.5% | (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) a) (*.f64 #s(literal 3 binary64) a) (*.f64 #s(literal 3 binary64) (neg.f64 b))) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) a))) | |
| 54.4% | (/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b)) a) #s(literal 3 binary64)) | |
| 36.5% | (/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) (neg.f64 b)) a) #s(literal 3 binary64)) | |
| 36.6% | (/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) (neg.f64 b)) #s(literal 3 binary64)) a) | |
| 36.0% | (/.f64 (/.f64 #s(approx (- b (sqrt (+ (* c (* a 3)) (* b b)))) (*.f64 #s(literal 2 binary64) b)) #s(literal -3 binary64)) a) | |
| 32.9% | (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a))) | |
| ▶ | 54.4% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
| ✓ | 54.4% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
| ✓ | 36.6% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) |
| 50.2% | (/.f64 (+.f64 (neg.f64 b) (exp.f64 (log.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) a)) | |
| ▶ | 9.6% | (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c b) b))) (*.f64 #s(literal 3 binary64) a)) |
| ▶ | 9.3% | (/.f64 #s(approx (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) (*.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)))) a) |
| 36.0% | (/.f64 #s(approx (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) (*.f64 #s(literal -2/3 binary64) b)) a) | |
| ▶ | 35.8% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -3/2 binary64) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 3 binary64) a)) |
| 24.3% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) | |
| 36.0% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 26.7% | (/.f64 #s(approx (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a)) | |
| 35.3% | #s(approx (/ (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) a) (*.f64 (neg.f64 b) (fma.f64 #s(literal 1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)))) | |
| 9.2% | #s(approx (/ (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) a) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) | |
| 35.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))) | |
| ▶ | 32.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
| ✓ | 36.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
| 35.2% | #s(approx (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)))) |
Compiled 1 148 to 839 computations (26.9% saved)
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -3/2 binary64) #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -3/2 binary64) #s(literal 2 binary64)) (neg.f64 b))) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -3/2 binary64) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 3 binary64) a)) | |
| cost-diff | 3 | (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -3/2 binary64) #s(literal 2 binary64)) (neg.f64 b)) | |
| cost-diff | 0 | #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c b) b)) | |
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c b) b))) | |
| cost-diff | 0 | (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c b) b))) (*.f64 #s(literal 3 binary64) a)) | |
| cost-diff | 0 | (*.f64 a (/.f64 c b)) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b))) | |
| cost-diff | 0 | #s(approx (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) (*.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)))) | |
| cost-diff | 0 | (/.f64 #s(approx (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) (*.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)))) a) | |
| cost-diff | 0 | (/.f64 c b) | |
| cost-diff | 0 | (*.f64 (/.f64 c b) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) | |
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) | |
| cost-diff | 0 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 358 |
| 0 | 73 | 358 |
| 1 | 141 | 352 |
| 2 | 313 | 352 |
| 3 | 630 | 352 |
| 4 | 1720 | 352 |
| 5 | 4858 | 346 |
| 6 | 7728 | 346 |
| 0 | 8019 | 341 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) |
(neg.f64 b) |
b |
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) |
(fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) |
(*.f64 c #s(literal -3 binary64)) |
c |
#s(literal -3 binary64) |
a |
(*.f64 b b) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(/.f64 c b) |
c |
b |
#s(literal -1/2 binary64) |
(/.f64 #s(approx (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) (*.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)))) a) |
#s(approx (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) (*.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b))) |
#s(literal 1/2 binary64) |
(*.f64 a (/.f64 c b)) |
a |
(/.f64 c b) |
c |
b |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c b) b))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c b) b))) |
(neg.f64 b) |
b |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c b) b)) |
(fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c b) b) |
(*.f64 #s(literal -3/2 binary64) a) |
#s(literal -3/2 binary64) |
a |
(/.f64 c b) |
c |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -3/2 binary64) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -3/2 binary64) #s(literal 2 binary64)) (neg.f64 b))) |
(*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -3/2 binary64) #s(literal 2 binary64)) (neg.f64 b)) |
(fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -3/2 binary64) #s(literal 2 binary64)) |
(/.f64 (*.f64 a (/.f64 c b)) b) |
(*.f64 a (/.f64 c b)) |
a |
(/.f64 c b) |
c |
b |
#s(literal -3/2 binary64) |
#s(literal 2 binary64) |
(neg.f64 b) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
| Outputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 b)) |
(neg.f64 b) |
b |
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(*.f64 c #s(literal -3 binary64)) |
(*.f64 #s(literal -3 binary64) c) |
c |
#s(literal -3 binary64) |
a |
(*.f64 b b) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) b) c) |
(/.f64 c b) |
c |
b |
#s(literal -1/2 binary64) |
(/.f64 #s(approx (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) (*.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)))) a) |
(/.f64 #s(approx (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) (*.f64 (*.f64 (/.f64 c b) a) #s(literal 1/2 binary64))) a) |
#s(approx (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) (*.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)))) |
#s(approx (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) (*.f64 (*.f64 (/.f64 c b) a) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b))) |
(*.f64 (*.f64 (/.f64 c b) a) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(*.f64 a (/.f64 c b)) |
(*.f64 (/.f64 c b) a) |
a |
(/.f64 c b) |
c |
b |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c b) b))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 (/.f64 #s(literal -3/2 binary64) b) c) a b)) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c b) b))) |
(+.f64 #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 (/.f64 #s(literal -3/2 binary64) b) c) a b)) (neg.f64 b)) |
(neg.f64 b) |
b |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c b) b)) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 (/.f64 #s(literal -3/2 binary64) b) c) a b)) |
(fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c b) b) |
(fma.f64 (*.f64 (/.f64 #s(literal -3/2 binary64) b) c) a b) |
(*.f64 #s(literal -3/2 binary64) a) |
#s(literal -3/2 binary64) |
a |
(/.f64 c b) |
c |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -3/2 binary64) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (fma.f64 (*.f64 #s(literal 3/2 binary64) a) (/.f64 c b) (*.f64 #s(literal -2 binary64) b))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -3/2 binary64) #s(literal 2 binary64)) (neg.f64 b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (fma.f64 (*.f64 #s(literal 3/2 binary64) a) (/.f64 c b) (*.f64 #s(literal -2 binary64) b))) |
(*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -3/2 binary64) #s(literal 2 binary64)) (neg.f64 b)) |
(fma.f64 (*.f64 #s(literal 3/2 binary64) a) (/.f64 c b) (*.f64 #s(literal -2 binary64) b)) |
(fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -3/2 binary64) #s(literal 2 binary64)) |
(fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -3/2 binary64) #s(literal 2 binary64)) |
(/.f64 (*.f64 a (/.f64 c b)) b) |
(/.f64 (*.f64 (/.f64 c b) a) b) |
(*.f64 a (/.f64 c b)) |
(*.f64 (/.f64 c b) a) |
a |
(/.f64 c b) |
c |
b |
#s(literal -3/2 binary64) |
#s(literal 2 binary64) |
(neg.f64 b) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.8182420990049746 | (/.f64 (*.f64 a (/.f64 c b)) b) | |
| accuracy | 3.639188622479374 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -3/2 binary64) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 3 binary64) a)) | |
| accuracy | 4.172397847121172 | (*.f64 a (/.f64 c b)) | |
| accuracy | 18.952216808367965 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -3/2 binary64) #s(literal 2 binary64)) (neg.f64 b))) | |
| accuracy | 0.0 | (neg.f64 b) | |
| accuracy | 3.639188622479374 | (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c b) b))) (*.f64 #s(literal 3 binary64) a)) | |
| accuracy | 12.630611063427427 | (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c b) b))) | |
| accuracy | 21.61623981899689 | #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c b) b)) | |
| accuracy | 0.00390625 | (*.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b))) | |
| accuracy | 3.62236754215912 | (/.f64 #s(approx (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) (*.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)))) a) | |
| accuracy | 4.172397847121172 | (*.f64 a (/.f64 c b)) | |
| accuracy | 21.257956468518035 | #s(approx (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) (*.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)))) | |
| accuracy | 0.0 | (/.f64 c b) | |
| accuracy | 0.0 | (*.f64 (/.f64 c b) #s(literal -1/2 binary64)) | |
| accuracy | 21.262030176563037 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) | |
| accuracy | 0.0 | (neg.f64 b) | |
| accuracy | 3.639188622479374 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) | |
| accuracy | 12.630611063427427 | (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) | |
| accuracy | 19.110399326556593 | (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) |
| 52.0ms | 33× | 2 | valid |
| 24.0ms | 40× | 1 | valid |
| 23.0ms | 91× | 0 | invalid |
| 23.0ms | 87× | 0 | valid |
| 5.0ms | 5× | 3 | valid |
Compiled 290 to 43 computations (85.2% saved)
ival-sqrt: 35.0ms (35.2% of total)ival-mult: 26.0ms (26.1% of total)ival-div: 12.0ms (12.1% of total)adjust: 11.0ms (11.1% of total)ival-add: 9.0ms (9% of total)ival-sub: 3.0ms (3% of total)exact: 1.0ms (1% of total)ival-neg: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) |
(neg.f64 b) |
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(/.f64 c b) |
(/.f64 #s(approx (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) (*.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)))) a) |
#s(approx (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) (*.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b))) |
(*.f64 a (/.f64 c b)) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c b) b))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c b) b))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c b) b)) |
(*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -3/2 binary64) #s(literal 2 binary64)) (neg.f64 b)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -3/2 binary64) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -3/2 binary64) #s(literal 2 binary64)) (neg.f64 b))) |
(fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -3/2 binary64) #s(literal 2 binary64)) |
(/.f64 (*.f64 a (/.f64 c b)) b) |
| Outputs |
|---|
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* -3/2 (/ (* a c) b)) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(* 1/2 (/ c b)) |
(+ (* -3/8 (/ (* a (pow c 2)) (pow b 3))) (* 1/2 (/ c b))) |
(+ (* 1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* 9/16 (/ (* a (pow c 3)) (pow b 5)))))) |
(+ (* 1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* 9/16 (/ (pow c 3) (pow b 5)))))))) |
(* 1/2 (/ (* a c) b)) |
(* a (+ (* -3/8 (/ (* a (pow c 2)) (pow b 3))) (* 1/2 (/ c b)))) |
(* a (+ (* 1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* 9/16 (/ (* a (pow c 3)) (pow b 5))))))) |
(* a (+ (* 1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* 9/16 (/ (pow c 3) (pow b 5))))))))) |
(/ (* a c) b) |
(* -2 b) |
(+ (* -2 b) (* 3/2 (/ (* a c) b))) |
2 |
(+ 2 (* -3/2 (/ (* a c) (pow b 2)))) |
(/ (* a c) (pow b 2)) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt 3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt 3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt 3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt 3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt 3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt 3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt 3)))))) |
(* 1/3 (* (sqrt (* a c)) (sqrt 3))) |
(* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt 3))))) |
(* a (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt 3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt 3)))))) |
(* a (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt 3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt 3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt 3))))))) |
(* 3/2 (/ (* a c) b)) |
(* a (+ (* -2 (/ b a)) (* 3/2 (/ c b)))) |
(* -3/2 (/ (* a c) (pow b 2))) |
(* a (+ (* -3/2 (/ c (pow b 2))) (* 2 (/ 1 a)))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt -3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1))))) |
(* -1/3 (* (sqrt (* a c)) (* (sqrt -3) (sqrt -1)))) |
(* -1 (* a (+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1)))) (* 1/3 (/ b a))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3))))) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1))))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt -3))))) a)) (* -1/3 b)) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1))))))) |
(* -1 (* a (+ (* -3/2 (/ c b)) (* 2 (/ b a))))) |
(* -1 (* a (- (* 3/2 (/ c (pow b 2))) (* 2 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(* -1 b) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))) |
(/ c b) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt 3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt 3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt 3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt 3)))))) (* 1/3 (/ 1 a))))) |
(+ (* -1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt 3)))) |
(+ (* 1/3 (* (sqrt (* a c)) (sqrt 3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt 3)))) 1/3))) |
(+ (* 1/3 (* (sqrt (* a c)) (sqrt 3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt 3)))))) 1/3))) |
(/ (+ (* -2 (pow b 2)) (* 3/2 (* a c))) b) |
(/ (+ (* -3/2 (* a c)) (* 2 (pow b 2))) (pow b 2)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(/ (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b) |
(/ (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b) |
(/ (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 1/2 c) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4)))))) b) |
(/ (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 1/2 (* a c))) b) |
(/ (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* 1/2 (* a c)) (* 9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))))) b) |
(/ (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 1/2 (* a c)) (* 9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4)))))) b) |
(* b (- (* 3/2 (/ (* a c) (pow b 2))) 2)) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (* b (+ (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (+ (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (+ (* 1/2 (/ c (pow b 2))) (+ (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (* 2/3 (/ 1 a))))))) |
(* -2/3 b) |
(* -1 (* b (+ 2/3 (* 1/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2/3 (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 1/2 (/ (* a c) (pow b 2))))))) |
(* -1 (* b (+ 2/3 (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* 1/2 (/ (* a c) (pow b 2))) (* 9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6)))))))) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) |
(* c (+ (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (+ (* c (+ (* -3/8 (/ a (pow b 3))) (* 9/16 (/ (* (pow a 2) c) (pow b 5))))) (* 1/2 (/ 1 b)))) |
(* c (+ (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))) (* 9/16 (/ (pow a 2) (pow b 5))))))) (* 1/2 (/ 1 b)))) |
(* c (+ (* -3/8 (/ (* (pow a 2) c) (pow b 3))) (* 1/2 (/ a b)))) |
(* c (+ (* 1/2 (/ a b)) (* c (+ (* -3/8 (/ (pow a 2) (pow b 3))) (* 9/16 (/ (* (pow a 3) c) (pow b 5))))))) |
(* c (+ (* 1/2 (/ a b)) (* c (+ (* -3/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)) (* 9/16 (/ (pow a 3) (pow b 5))))))))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt 3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt 3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt 3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt 3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt 3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt 3))))))) |
(* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (sqrt 3))))) |
(* c (+ (* -1/3 (/ b c)) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt 3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt 3)))))) |
(* c (+ (* -1/3 (/ b c)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt 3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt 3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt 3))))))) |
(* c (+ (* -2 (/ b c)) (* 3/2 (/ a b)))) |
(* c (+ (* -3/2 (/ a (pow b 2))) (* 2 (/ 1 c)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -3) (sqrt -1)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -3) (sqrt -1))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -3) (sqrt -1))))))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -3) (sqrt -1)))) (* 1/3 (/ b c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3))))) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -3) (sqrt -1))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt -3))))) c)) (* -1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -3) (sqrt -1))))))) |
(* -1 (* c (+ (* -3/2 (/ a b)) (* 2 (/ b c))))) |
(* -1 (* c (- (* 3/2 (/ a (pow b 2))) (* 2 (/ 1 c))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 38.0ms | c | @ | inf | ((/ (+ (neg b) (sqrt (+ (* (* c -3) a) (* b b)))) (* 3 a)) (+ (neg b) (sqrt (+ (* (* c -3) a) (* b b)))) (neg b) (sqrt (+ (* (* c -3) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (/ c b) -1/2) (/ c b) (/ (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) a) (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) (* 1/2 (* a (/ c b))) (* a (/ c b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt (- (* b b) (* (* 3 a) c))) (* (+ (* (/ (* a (/ c b)) b) -3/2) 2) (neg b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (+ (* (/ (* a (/ c b)) b) -3/2) 2) (/ (* a (/ c b)) b)) |
| 4.0ms | c | @ | -inf | ((/ (+ (neg b) (sqrt (+ (* (* c -3) a) (* b b)))) (* 3 a)) (+ (neg b) (sqrt (+ (* (* c -3) a) (* b b)))) (neg b) (sqrt (+ (* (* c -3) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (/ c b) -1/2) (/ c b) (/ (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) a) (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) (* 1/2 (* a (/ c b))) (* a (/ c b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt (- (* b b) (* (* 3 a) c))) (* (+ (* (/ (* a (/ c b)) b) -3/2) 2) (neg b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (+ (* (/ (* a (/ c b)) b) -3/2) 2) (/ (* a (/ c b)) b)) |
| 3.0ms | a | @ | -inf | ((/ (+ (neg b) (sqrt (+ (* (* c -3) a) (* b b)))) (* 3 a)) (+ (neg b) (sqrt (+ (* (* c -3) a) (* b b)))) (neg b) (sqrt (+ (* (* c -3) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (/ c b) -1/2) (/ c b) (/ (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) a) (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) (* 1/2 (* a (/ c b))) (* a (/ c b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt (- (* b b) (* (* 3 a) c))) (* (+ (* (/ (* a (/ c b)) b) -3/2) 2) (neg b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (+ (* (/ (* a (/ c b)) b) -3/2) 2) (/ (* a (/ c b)) b)) |
| 3.0ms | c | @ | 0 | ((/ (+ (neg b) (sqrt (+ (* (* c -3) a) (* b b)))) (* 3 a)) (+ (neg b) (sqrt (+ (* (* c -3) a) (* b b)))) (neg b) (sqrt (+ (* (* c -3) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (/ c b) -1/2) (/ c b) (/ (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) a) (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) (* 1/2 (* a (/ c b))) (* a (/ c b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt (- (* b b) (* (* 3 a) c))) (* (+ (* (/ (* a (/ c b)) b) -3/2) 2) (neg b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (+ (* (/ (* a (/ c b)) b) -3/2) 2) (/ (* a (/ c b)) b)) |
| 3.0ms | b | @ | 0 | ((/ (+ (neg b) (sqrt (+ (* (* c -3) a) (* b b)))) (* 3 a)) (+ (neg b) (sqrt (+ (* (* c -3) a) (* b b)))) (neg b) (sqrt (+ (* (* c -3) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (/ c b) -1/2) (/ c b) (/ (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) a) (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) (* 1/2 (* a (/ c b))) (* a (/ c b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (sqrt (- (* b b) (* (* 3 a) c))) (* (+ (* (/ (* a (/ c b)) b) -3/2) 2) (neg b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (+ (* (/ (* a (/ c b)) b) -3/2) 2) (/ (* a (/ c b)) b)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 860 | 5052 |
| 1 | 3122 | 5000 |
| 0 | 8478 | 4762 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* -3/2 (/ (* a c) b)) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(* 1/2 (/ c b)) |
(+ (* -3/8 (/ (* a (pow c 2)) (pow b 3))) (* 1/2 (/ c b))) |
(+ (* 1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* 9/16 (/ (* a (pow c 3)) (pow b 5)))))) |
(+ (* 1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* 9/16 (/ (pow c 3) (pow b 5)))))))) |
(* 1/2 (/ (* a c) b)) |
(* a (+ (* -3/8 (/ (* a (pow c 2)) (pow b 3))) (* 1/2 (/ c b)))) |
(* a (+ (* 1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* 9/16 (/ (* a (pow c 3)) (pow b 5))))))) |
(* a (+ (* 1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* 9/16 (/ (pow c 3) (pow b 5))))))))) |
(/ (* a c) b) |
(* -2 b) |
(+ (* -2 b) (* 3/2 (/ (* a c) b))) |
2 |
(+ 2 (* -3/2 (/ (* a c) (pow b 2)))) |
(/ (* a c) (pow b 2)) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt 3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt 3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt 3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt 3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt 3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt 3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt 3)))))) |
(* 1/3 (* (sqrt (* a c)) (sqrt 3))) |
(* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt 3))))) |
(* a (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt 3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt 3)))))) |
(* a (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt 3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt 3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt 3))))))) |
(* 3/2 (/ (* a c) b)) |
(* a (+ (* -2 (/ b a)) (* 3/2 (/ c b)))) |
(* -3/2 (/ (* a c) (pow b 2))) |
(* a (+ (* -3/2 (/ c (pow b 2))) (* 2 (/ 1 a)))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt -3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1))))) |
(* -1/3 (* (sqrt (* a c)) (* (sqrt -3) (sqrt -1)))) |
(* -1 (* a (+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1)))) (* 1/3 (/ b a))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3))))) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1))))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt -3))))) a)) (* -1/3 b)) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1))))))) |
(* -1 (* a (+ (* -3/2 (/ c b)) (* 2 (/ b a))))) |
(* -1 (* a (- (* 3/2 (/ c (pow b 2))) (* 2 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(* -1 b) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))) |
(/ c b) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt 3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt 3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt 3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt 3)))))) (* 1/3 (/ 1 a))))) |
(+ (* -1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt 3)))) |
(+ (* 1/3 (* (sqrt (* a c)) (sqrt 3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt 3)))) 1/3))) |
(+ (* 1/3 (* (sqrt (* a c)) (sqrt 3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt 3)))))) 1/3))) |
(/ (+ (* -2 (pow b 2)) (* 3/2 (* a c))) b) |
(/ (+ (* -3/2 (* a c)) (* 2 (pow b 2))) (pow b 2)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(/ (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b) |
(/ (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b) |
(/ (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 1/2 c) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4)))))) b) |
(/ (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 1/2 (* a c))) b) |
(/ (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* 1/2 (* a c)) (* 9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))))) b) |
(/ (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 1/2 (* a c)) (* 9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4)))))) b) |
(* b (- (* 3/2 (/ (* a c) (pow b 2))) 2)) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (* b (+ (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (+ (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (+ (* 1/2 (/ c (pow b 2))) (+ (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (* 2/3 (/ 1 a))))))) |
(* -2/3 b) |
(* -1 (* b (+ 2/3 (* 1/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2/3 (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 1/2 (/ (* a c) (pow b 2))))))) |
(* -1 (* b (+ 2/3 (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* 1/2 (/ (* a c) (pow b 2))) (* 9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6)))))))) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) |
(* c (+ (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (+ (* c (+ (* -3/8 (/ a (pow b 3))) (* 9/16 (/ (* (pow a 2) c) (pow b 5))))) (* 1/2 (/ 1 b)))) |
(* c (+ (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))) (* 9/16 (/ (pow a 2) (pow b 5))))))) (* 1/2 (/ 1 b)))) |
(* c (+ (* -3/8 (/ (* (pow a 2) c) (pow b 3))) (* 1/2 (/ a b)))) |
(* c (+ (* 1/2 (/ a b)) (* c (+ (* -3/8 (/ (pow a 2) (pow b 3))) (* 9/16 (/ (* (pow a 3) c) (pow b 5))))))) |
(* c (+ (* 1/2 (/ a b)) (* c (+ (* -3/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)) (* 9/16 (/ (pow a 3) (pow b 5))))))))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt 3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt 3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt 3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt 3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt 3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt 3))))))) |
(* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (sqrt 3))))) |
(* c (+ (* -1/3 (/ b c)) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt 3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt 3)))))) |
(* c (+ (* -1/3 (/ b c)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt 3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt 3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt 3))))))) |
(* c (+ (* -2 (/ b c)) (* 3/2 (/ a b)))) |
(* c (+ (* -3/2 (/ a (pow b 2))) (* 2 (/ 1 c)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -3) (sqrt -1)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -3) (sqrt -1))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -3) (sqrt -1))))))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -3) (sqrt -1)))) (* 1/3 (/ b c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3))))) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -3) (sqrt -1))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt -3))))) c)) (* -1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -3) (sqrt -1))))))) |
(* -1 (* c (+ (* -3/2 (/ a b)) (* 2 (/ b c))))) |
(* -1 (* c (- (* 3/2 (/ a (pow b 2))) (* 2 (/ 1 c))))) |
| Outputs |
|---|
(* -1/2 (/ c b)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(fma.f64 (*.f64 a #s(literal -3/8 binary64)) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(fma.f64 (fma.f64 (*.f64 a #s(literal -9/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(* -3/2 (/ (* a c) b)) |
(*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64)) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
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b |
(+ b (* -3/2 (/ (* a c) b))) |
(fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c b) b) |
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(*.f64 #s(literal 1/2 binary64) (/.f64 c b)) |
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(*.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b))) |
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(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
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#s(literal 2 binary64) |
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(*.f64 (/.f64 a b) (/.f64 c b)) |
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(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64))) |
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(* 1/3 (* (sqrt (/ c a)) (sqrt 3))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 c a))) |
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(*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (/.f64 c a))))) |
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(* 1/3 (* (sqrt (* a c)) (sqrt 3))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (*.f64 a c))) |
(* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt 3))))) |
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(* 3/2 (/ (* a c) b)) |
(*.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c b))) |
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(* -3/2 (/ (* a c) (pow b 2))) |
(*.f64 (*.f64 a #s(literal -3/2 binary64)) (/.f64 c (*.f64 b b))) |
(* a (+ (* -3/2 (/ c (pow b 2))) (* 2 (/ 1 a)))) |
(*.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) a)) a) |
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(*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -1 binary64))) |
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(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) |
(*.f64 (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 -3 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)))) c) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64))))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 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 -3 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64))))) c) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 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)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64))))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 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 -3 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)))))) c) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt 3))))) |
(*.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 (/.f64 b a) c) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (sqrt.f64 #s(literal 3 binary64))))) c) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt 3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt 3)))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal 3 binary64)))) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 (/.f64 b a) c) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (sqrt.f64 #s(literal 3 binary64)))))) c) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt 3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt 3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt 3))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal 3 binary64)))) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 (/.f64 b a) c) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (sqrt.f64 #s(literal 3 binary64))))))) c) |
(* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (sqrt 3))))) |
(*.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 b c) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))))) c) |
(* c (+ (* -1/3 (/ b c)) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt 3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt 3)))))) |
(*.f64 (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 3 binary64)))) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 b c) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64)))))) c) |
(* c (+ (* -1/3 (/ b c)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt 3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt 3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt 3))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 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 3 binary64)))) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 b c) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))))))) c) |
(* c (+ (* -2 (/ b c)) (* 3/2 (/ a b)))) |
(*.f64 (fma.f64 (/.f64 b c) #s(literal -2 binary64) (*.f64 (/.f64 a b) #s(literal 3/2 binary64))) c) |
(* c (+ (* -3/2 (/ a (pow b 2))) (* 2 (/ 1 c)))) |
(*.f64 (fma.f64 (/.f64 a (*.f64 b b)) #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) c)) c) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(*.f64 (*.f64 (neg.f64 c) #s(literal 1/3 binary64)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 b a) c))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))) (neg.f64 c)))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 #s(literal 3 binary64)) (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c))))) (neg.f64 c))) (neg.f64 c)))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 b c))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c))) b) (neg.f64 c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 c a)))) (neg.f64 c)) b) (neg.f64 c)))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal 3 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)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))))))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -3) (sqrt -1)))) (* 1/3 (/ b (* a c)))))) |
(*.f64 (*.f64 (neg.f64 c) #s(literal 1/3 binary64)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 b a) c))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -3) (sqrt -1))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))) (neg.f64 c)))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -3) (sqrt -1))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c))) (*.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))))) (neg.f64 c))) (neg.f64 c)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -3) (sqrt -1)))) (* 1/3 (/ b c))))) |
(*.f64 (*.f64 (neg.f64 c) #s(literal 1/3 binary64)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 b c))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3))))) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -3) (sqrt -1))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (*.f64 #s(literal -1/3 binary64) b)) (neg.f64 c)))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt -3))))) c)) (* -1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -3) (sqrt -1))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (fma.f64 #s(literal -1/3 binary64) b (/.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 c a)))) (neg.f64 c))) (neg.f64 c)))) |
(* -1 (* c (+ (* -3/2 (/ a b)) (* 2 (/ b c))))) |
(*.f64 (neg.f64 c) (fma.f64 (/.f64 b c) #s(literal 2 binary64) (*.f64 (/.f64 a b) #s(literal -3/2 binary64)))) |
(* -1 (* c (- (* 3/2 (/ a (pow b 2))) (* 2 (/ 1 c))))) |
(*.f64 (neg.f64 c) (-.f64 (*.f64 (/.f64 a (*.f64 b b)) #s(literal 3/2 binary64)) (/.f64 #s(literal 2 binary64) c))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 283 |
| 0 | 73 | 283 |
| 1 | 266 | 277 |
| 2 | 1879 | 277 |
| 0 | 8470 | 275 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) |
(neg.f64 b) |
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(/.f64 c b) |
(/.f64 #s(approx (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) (*.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)))) a) |
#s(approx (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) (*.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b))) |
(*.f64 a (/.f64 c b)) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c b) b))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c b) b))) |
#s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c b) b)) |
(*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -3/2 binary64) #s(literal 2 binary64)) (neg.f64 b)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -3/2 binary64) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -3/2 binary64) #s(literal 2 binary64)) (neg.f64 b))) |
(fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -3/2 binary64) #s(literal 2 binary64)) |
(/.f64 (*.f64 a (/.f64 c b)) b) |
| Outputs |
|---|
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))) |
(*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))))) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))) |
(*.f64 (/.f64 (fma.f64 b b (+.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))))) (fma.f64 b b (+.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))))))) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a))) |
(/.f64 (neg.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b)) a)) #s(literal -3 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 b #s(literal -3 binary64)) a) #s(literal 2 binary64)) (/.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (pow.f64 (*.f64 a #s(literal -3 binary64)) #s(literal 2 binary64))))) (neg.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 b #s(literal -3 binary64)) a) #s(literal 3 binary64)) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 b #s(literal -3 binary64)) a) #s(literal 2 binary64)) (-.f64 (/.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (pow.f64 (*.f64 a #s(literal -3 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b)) (pow.f64 (*.f64 a #s(literal -3 binary64)) #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64)))) (neg.f64 (neg.f64 a))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b))))) (neg.f64 (neg.f64 (*.f64 a #s(literal -3 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 b) (*.f64 #s(literal 3 binary64) a) (*.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))))) (neg.f64 (pow.f64 (*.f64 a #s(literal -3 binary64)) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (/.f64 (neg.f64 b) a))) #s(literal 9 binary64)) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a) (*.f64 a #s(literal -3 binary64)) (*.f64 #s(literal 3 binary64) (neg.f64 (neg.f64 b)))) (*.f64 #s(literal 3 binary64) (*.f64 a #s(literal -3 binary64)))) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a) a (*.f64 #s(literal 3 binary64) (/.f64 b #s(literal -3 binary64)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a) (*.f64 #s(literal 3 binary64) a) (*.f64 #s(literal 3 binary64) (neg.f64 b))) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) a))) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64)) #s(literal 3 binary64) (*.f64 a (/.f64 (neg.f64 b) a))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64)) (*.f64 a #s(literal -3 binary64)) (*.f64 a (neg.f64 (neg.f64 b)))) (*.f64 a (*.f64 a #s(literal -3 binary64)))) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64)) a (*.f64 a (/.f64 b #s(literal -3 binary64)))) (*.f64 a a)) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) a) (*.f64 a (neg.f64 b))) (*.f64 a (*.f64 #s(literal 3 binary64) a))) |
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) #s(literal 3 binary64) (*.f64 (*.f64 a #s(literal -3 binary64)) (/.f64 (neg.f64 b) a))) (*.f64 (*.f64 a #s(literal -3 binary64)) #s(literal 3 binary64))) |
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 a #s(literal -3 binary64)) (*.f64 (*.f64 a #s(literal -3 binary64)) (neg.f64 (neg.f64 b)))) (pow.f64 (*.f64 a #s(literal -3 binary64)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) a (*.f64 (*.f64 a #s(literal -3 binary64)) (/.f64 b #s(literal -3 binary64)))) (*.f64 (*.f64 a #s(literal -3 binary64)) a)) |
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a) (*.f64 (*.f64 a #s(literal -3 binary64)) (neg.f64 b))) (*.f64 (*.f64 a #s(literal -3 binary64)) (*.f64 #s(literal 3 binary64) a))) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) a) (/.f64 (neg.f64 b) a))) (*.f64 (*.f64 #s(literal 3 binary64) a) #s(literal 3 binary64))) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (*.f64 a #s(literal -3 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) a) (neg.f64 (neg.f64 b)))) (*.f64 (*.f64 #s(literal 3 binary64) a) (*.f64 a #s(literal -3 binary64)))) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a (*.f64 (*.f64 #s(literal 3 binary64) a) (/.f64 b #s(literal -3 binary64)))) (*.f64 (*.f64 #s(literal 3 binary64) a) a)) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a) (*.f64 (*.f64 #s(literal 3 binary64) a) (neg.f64 b))) (pow.f64 (*.f64 a #s(literal -3 binary64)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (/.f64 (neg.f64 b) a) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a))) #s(literal 9 binary64)) |
(/.f64 (fma.f64 (/.f64 (neg.f64 b) a) a (*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (fma.f64 (/.f64 (neg.f64 b) a) (*.f64 a #s(literal -3 binary64)) (*.f64 #s(literal 3 binary64) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) (*.f64 a #s(literal -3 binary64)))) |
(/.f64 (fma.f64 (/.f64 (neg.f64 b) a) (*.f64 #s(literal 3 binary64) a) (*.f64 #s(literal 3 binary64) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))))) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) a))) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 b)) #s(literal 3 binary64) (*.f64 (*.f64 a #s(literal -3 binary64)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a))) (*.f64 (*.f64 a #s(literal -3 binary64)) #s(literal 3 binary64))) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 b)) a (*.f64 (*.f64 a #s(literal -3 binary64)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64)))) (*.f64 (*.f64 a #s(literal -3 binary64)) a)) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 b)) (*.f64 a #s(literal -3 binary64)) (*.f64 (*.f64 a #s(literal -3 binary64)) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))))) (pow.f64 (*.f64 a #s(literal -3 binary64)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 b)) (*.f64 #s(literal 3 binary64) a) (*.f64 (*.f64 a #s(literal -3 binary64)) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))))) (*.f64 (*.f64 a #s(literal -3 binary64)) (*.f64 #s(literal 3 binary64) a))) |
(/.f64 (fma.f64 (/.f64 b #s(literal -3 binary64)) #s(literal 3 binary64) (*.f64 a (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (fma.f64 (/.f64 b #s(literal -3 binary64)) a (*.f64 a (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64)))) (*.f64 a a)) |
(/.f64 (fma.f64 (/.f64 b #s(literal -3 binary64)) (*.f64 a #s(literal -3 binary64)) (*.f64 a (neg.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))))) (*.f64 a (*.f64 a #s(literal -3 binary64)))) |
(/.f64 (fma.f64 (/.f64 b #s(literal -3 binary64)) (*.f64 #s(literal 3 binary64) a) (*.f64 a (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))))) (*.f64 a (*.f64 #s(literal 3 binary64) a))) |
(/.f64 (fma.f64 (neg.f64 b) #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) a) (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a))) (*.f64 (*.f64 #s(literal 3 binary64) a) #s(literal 3 binary64))) |
(/.f64 (fma.f64 (neg.f64 b) a (*.f64 (*.f64 #s(literal 3 binary64) a) (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 3 binary64) a) a)) |
(/.f64 (fma.f64 (neg.f64 b) (*.f64 a #s(literal -3 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))))) (*.f64 (*.f64 #s(literal 3 binary64) a) (*.f64 a #s(literal -3 binary64)))) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b)) a) #s(literal 3 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 b #s(literal -3 binary64)) a) #s(literal 2 binary64)) (/.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (pow.f64 (*.f64 a #s(literal -3 binary64)) #s(literal 2 binary64)))) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 b #s(literal -3 binary64)) a) #s(literal 3 binary64)) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (/.f64 b #s(literal -3 binary64)) a) #s(literal 2 binary64)) (-.f64 (/.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (pow.f64 (*.f64 a #s(literal -3 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b)) (pow.f64 (*.f64 a #s(literal -3 binary64)) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (neg.f64 (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (*.f64 (fma.f64 b b (+.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) a)))) |
(/.f64 (neg.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64))) (neg.f64 a)) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b)))) (neg.f64 (*.f64 a #s(literal -3 binary64)))) |
(/.f64 (fma.f64 (neg.f64 b) (*.f64 #s(literal 3 binary64) a) (*.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))))) (pow.f64 (*.f64 a #s(literal -3 binary64)) #s(literal 2 binary64))) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64)) a) |
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (fma.f64 b b (+.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) a))) |
(/.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b))) (*.f64 a #s(literal -3 binary64))) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) |
(neg.f64 (/.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b))) (*.f64 #s(literal 3 binary64) a))) |
(neg.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b)) (*.f64 a #s(literal -3 binary64)))) |
(fma.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (/.f64 (pow.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) #s(literal 1/4 binary64)) a) (/.f64 (/.f64 b #s(literal -3 binary64)) a)) |
(fma.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) #s(literal 1/4 binary64)) a) (/.f64 (pow.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (/.f64 (/.f64 b #s(literal -3 binary64)) a)) |
(-.f64 (/.f64 (pow.f64 (/.f64 (/.f64 b #s(literal -3 binary64)) a) #s(literal 2 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))) (/.f64 (/.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (pow.f64 (*.f64 a #s(literal -3 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)))) |
(-.f64 (/.f64 (*.f64 b b) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))) (/.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)))) |
(-.f64 (/.f64 (/.f64 (*.f64 b b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)) (/.f64 (/.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a))) |
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(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -3/2 binary64) #s(literal 2 binary64)) (neg.f64 b))) #s(literal 3 binary64)) a) |
(/.f64 (neg.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -3/2 binary64) #s(literal 2 binary64)) (neg.f64 b)))) (*.f64 a #s(literal -3 binary64))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -3/2 binary64) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 3 binary64) a)) |
(neg.f64 (/.f64 (neg.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -3/2 binary64) #s(literal 2 binary64)) (neg.f64 b)))) (*.f64 #s(literal 3 binary64) a))) |
(neg.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -3/2 binary64) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 a #s(literal -3 binary64)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -3/2 binary64) #s(literal 2 binary64)) (neg.f64 b))) |
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -3/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -3/2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -3/2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -3/2 binary64)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal 3 binary64)) #s(literal -27/8 binary64) #s(literal 8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal 2 binary64)) #s(literal 9/4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -3 binary64))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -3/2 binary64)) #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -3/2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -3/2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -3/2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal 2 binary64)) #s(literal 9/4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -3 binary64)))) (*.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal 2 binary64)) #s(literal 9/4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -3 binary64)))) #s(literal 8 binary64))) (*.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal 2 binary64)) #s(literal 9/4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -3 binary64)))) (fma.f64 (pow.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal 2 binary64)) #s(literal 9/4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -3 binary64)))))) |
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -3/2 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -3/2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -3/2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))) (neg.f64 (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -3/2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal 3 binary64)) #s(literal -27/8 binary64) #s(literal 8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -3 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal 3 binary64)) #s(literal -27/8 binary64) #s(literal 8 binary64))) (neg.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal 2 binary64)) #s(literal 9/4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -3 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -3/2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -3/2 binary64)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal 3 binary64)) #s(literal -27/8 binary64) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -3 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal 3 binary64)) #s(literal -27/8 binary64) #s(literal 8 binary64)) (fma.f64 (pow.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal 2 binary64)) #s(literal 9/4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -3 binary64))))) |
(fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -3/2 binary64) #s(literal 2 binary64)) |
(fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 (/.f64 c b) b) #s(literal 2 binary64)) |
(fma.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal 2 binary64)) |
(fma.f64 (*.f64 (/.f64 c b) a) (/.f64 #s(literal -3/2 binary64) b) #s(literal 2 binary64)) |
(fma.f64 a (*.f64 (/.f64 (/.f64 c b) b) #s(literal -3/2 binary64)) #s(literal 2 binary64)) |
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -3/2 binary64)))) (/.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -3/2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -3/2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -3/2 binary64)) #s(literal 2 binary64)))) |
(-.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (/.f64 (*.f64 (/.f64 c b) a) b)) #s(literal -3/2 binary64))) |
(-.f64 #s(literal 2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 (/.f64 c b) a) b))) |
(+.f64 (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -3 binary64))))) (/.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -3/2 binary64)) #s(literal 3 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -3 binary64)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -3/2 binary64)) #s(literal 3 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -3 binary64))))) (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -3/2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -3 binary64)))))) |
(+.f64 (/.f64 #s(literal 8 binary64) (fma.f64 (pow.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal 2 binary64)) #s(literal 9/4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -3 binary64))))) (/.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -3/2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal 2 binary64)) #s(literal 9/4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -3 binary64)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -3/2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal 2 binary64)) #s(literal 9/4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -3 binary64))))) (/.f64 #s(literal 8 binary64) (fma.f64 (pow.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal 2 binary64)) #s(literal 9/4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -3 binary64)))))) |
(+.f64 (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -3/2 binary64)) #s(literal 2 binary64)) |
(+.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -3/2 binary64))) |
(*.f64 (/.f64 a (neg.f64 (neg.f64 b))) (/.f64 c (neg.f64 (neg.f64 b)))) |
(*.f64 (/.f64 c (neg.f64 (neg.f64 b))) (/.f64 a (neg.f64 (neg.f64 b)))) |
(*.f64 (/.f64 a (neg.f64 b)) (/.f64 c (neg.f64 b))) |
(*.f64 (/.f64 a b) (/.f64 c b)) |
(*.f64 (/.f64 c (neg.f64 b)) (/.f64 a (neg.f64 b))) |
(*.f64 (/.f64 (/.f64 c b) b) a) |
(*.f64 (/.f64 c b) (/.f64 a b)) |
(*.f64 a (/.f64 (/.f64 c b) b)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 a) (/.f64 c b)))) (neg.f64 (neg.f64 (neg.f64 b)))) |
(/.f64 (*.f64 (neg.f64 (neg.f64 c)) a) (*.f64 (neg.f64 (neg.f64 b)) b)) |
(/.f64 (*.f64 (neg.f64 c) a) (*.f64 (neg.f64 b) b)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 a) (/.f64 c b))) (neg.f64 (neg.f64 b))) |
(/.f64 (neg.f64 (*.f64 a c)) (*.f64 (neg.f64 b) b)) |
(/.f64 (*.f64 a c) (*.f64 b b)) |
(/.f64 (*.f64 (neg.f64 a) (/.f64 c b)) (neg.f64 b)) |
(/.f64 (*.f64 (/.f64 c b) a) b) |
(neg.f64 (/.f64 (*.f64 (neg.f64 a) (/.f64 c b)) b)) |
(neg.f64 (/.f64 (*.f64 (/.f64 c b) a) (neg.f64 b))) |
Compiled 23 309 to 2 437 computations (89.5% saved)
27 alts after pruning (20 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 543 | 8 | 551 |
| Fresh | 5 | 12 | 17 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 549 | 27 | 576 |
| Status | Accuracy | Program |
|---|---|---|
| 53.2% | (/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (/.f64 (neg.f64 b) a))) #s(literal 9 binary64)) | |
| 38.5% | (/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 3 binary64)) a (*.f64 a (/.f64 b #s(literal -3 binary64)))) (*.f64 a a)) | |
| 36.5% | (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) a) (*.f64 #s(literal 3 binary64) a) (*.f64 #s(literal 3 binary64) (neg.f64 b))) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) a))) | |
| 54.3% | (/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b)) a) #s(literal 3 binary64)) | |
| ▶ | 54.4% | (/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b)) a) #s(literal 3 binary64)) |
| ▶ | 36.5% | (/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) (neg.f64 b)) a) #s(literal 3 binary64)) |
| 36.6% | (/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) (neg.f64 b)) #s(literal 3 binary64)) a) | |
| ▶ | 36.0% | (/.f64 (/.f64 #s(approx (- b (sqrt (+ (* c (* a 3)) (* b b)))) (*.f64 #s(literal 2 binary64) b)) #s(literal -3 binary64)) a) |
| 32.9% | (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a))) | |
| ✓ | 54.4% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
| ✓ | 54.4% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
| ✓ | 36.6% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) |
| 50.2% | (/.f64 (+.f64 (neg.f64 b) (exp.f64 (log.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) a)) | |
| ✓ | 9.6% | (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c b) b))) (*.f64 #s(literal 3 binary64) a)) |
| 9.1% | (/.f64 #s(approx (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) (/.f64 (*.f64 (*.f64 a c) #s(literal 1/2 binary64)) b)) a) | |
| ✓ | 9.3% | (/.f64 #s(approx (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) (*.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)))) a) |
| 36.0% | (/.f64 #s(approx (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) (*.f64 #s(literal -2/3 binary64) b)) a) | |
| ▶ | 24.3% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) |
| 36.0% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 35.8% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -3/2) 2) (neg b)) (fma.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2 binary64) b)))) (*.f64 #s(literal 3 binary64) a)) | |
| 9.3% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -3/2) 2) (neg b)) (*.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c b))))) (*.f64 #s(literal 3 binary64) a)) | |
| 26.7% | (/.f64 #s(approx (+ (neg b) (sqrt (+ (* (* c -3) a) (* b b)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a)) | |
| 35.3% | #s(approx (/ (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) a) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) | |
| 9.2% | #s(approx (/ (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) a) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) | |
| ✓ | 32.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
| ▶ | 32.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
| ✓ | 36.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
Compiled 1 165 to 849 computations (27.1% saved)
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) | |
| cost-diff | 0 | (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) (neg.f64 b)) | |
| cost-diff | 0 | (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) (neg.f64 b)) a) | |
| cost-diff | 0 | (/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) (neg.f64 b)) a) #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c) | |
| cost-diff | 0 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) b) | |
| cost-diff | 0 | #s(approx (- b (sqrt (+ (* c (* a 3)) (* b b)))) (*.f64 #s(literal 2 binary64) b)) | |
| cost-diff | 0 | (/.f64 #s(approx (- b (sqrt (+ (* c (* a 3)) (* b b)))) (*.f64 #s(literal 2 binary64) b)) #s(literal -3 binary64)) | |
| cost-diff | 0 | (/.f64 (/.f64 #s(approx (- b (sqrt (+ (* c (* a 3)) (* b b)))) (*.f64 #s(literal 2 binary64) b)) #s(literal -3 binary64)) a) | |
| cost-diff | 0 | (/.f64 #s(literal -1/2 binary64) b) | |
| cost-diff | 0 | (*.f64 c (/.f64 #s(literal -1/2 binary64) b)) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) | |
| cost-diff | 0 | (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b)) | |
| cost-diff | 0 | (/.f64 (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b)) a) | |
| cost-diff | 0 | (/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b)) a) #s(literal 3 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 345 |
| 0 | 74 | 345 |
| 1 | 130 | 337 |
| 2 | 255 | 337 |
| 3 | 396 | 337 |
| 4 | 590 | 337 |
| 5 | 873 | 337 |
| 6 | 1097 | 337 |
| 7 | 1206 | 337 |
| 0 | 1206 | 334 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b)) a) #s(literal 3 binary64)) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b)) a) |
(+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b)) |
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) |
(fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) |
c |
(*.f64 a #s(literal -3 binary64)) |
a |
#s(literal -3 binary64) |
(*.f64 b b) |
b |
(neg.f64 b) |
#s(literal 3 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
(*.f64 c (/.f64 #s(literal -1/2 binary64) b)) |
c |
(/.f64 #s(literal -1/2 binary64) b) |
#s(literal -1/2 binary64) |
b |
(/.f64 (/.f64 #s(approx (- b (sqrt (+ (* c (* a 3)) (* b b)))) (*.f64 #s(literal 2 binary64) b)) #s(literal -3 binary64)) a) |
(/.f64 #s(approx (- b (sqrt (+ (* c (* a 3)) (* b b)))) (*.f64 #s(literal 2 binary64) b)) #s(literal -3 binary64)) |
#s(approx (- b (sqrt (+ (* c (* a 3)) (* b b)))) (*.f64 #s(literal 2 binary64) b)) |
(*.f64 #s(literal 2 binary64) b) |
#s(literal 2 binary64) |
b |
#s(literal -3 binary64) |
a |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) |
(*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c) |
(*.f64 (/.f64 a b) #s(literal -3/2 binary64)) |
(/.f64 a b) |
a |
b |
#s(literal -3/2 binary64) |
c |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) (neg.f64 b)) a) #s(literal 3 binary64)) |
(/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) (neg.f64 b)) a) |
(+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) (neg.f64 b)) |
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) |
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))) |
(*.f64 (*.f64 c a) #s(literal -3 binary64)) |
(*.f64 c a) |
c |
a |
#s(literal -3 binary64) |
(neg.f64 b) |
b |
#s(literal 3 binary64) |
| Outputs |
|---|
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b)) a) #s(literal 3 binary64)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b)) a) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) a) |
(+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b)) |
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) |
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
c |
(*.f64 a #s(literal -3 binary64)) |
(*.f64 #s(literal -3 binary64) a) |
a |
#s(literal -3 binary64) |
(*.f64 b b) |
b |
(neg.f64 b) |
#s(literal 3 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c)) |
(*.f64 c (/.f64 #s(literal -1/2 binary64) b)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) b) c) |
c |
(/.f64 #s(literal -1/2 binary64) b) |
#s(literal -1/2 binary64) |
b |
(/.f64 (/.f64 #s(approx (- b (sqrt (+ (* c (* a 3)) (* b b)))) (*.f64 #s(literal 2 binary64) b)) #s(literal -3 binary64)) a) |
(/.f64 #s(approx (- b (sqrt (+ (* c (* a 3)) (* b b)))) (*.f64 #s(literal 2 binary64) b)) (*.f64 #s(literal -3 binary64) a)) |
(/.f64 #s(approx (- b (sqrt (+ (* c (* a 3)) (* b b)))) (*.f64 #s(literal 2 binary64) b)) #s(literal -3 binary64)) |
#s(approx (- b (sqrt (+ (* c (* a 3)) (* b b)))) (*.f64 #s(literal 2 binary64) b)) |
(*.f64 #s(literal 2 binary64) b) |
#s(literal 2 binary64) |
b |
#s(literal -3 binary64) |
a |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 a b)) c)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 a b)) c)) |
(*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c) |
(*.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 a b)) c) |
(*.f64 (/.f64 a b) #s(literal -3/2 binary64)) |
(*.f64 #s(literal -3/2 binary64) (/.f64 a b)) |
(/.f64 a b) |
a |
b |
#s(literal -3/2 binary64) |
c |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) (neg.f64 b)) a) #s(literal 3 binary64)) |
(/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a c) #s(literal -3 binary64)))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) (neg.f64 b)) a) |
(/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a c) #s(literal -3 binary64)))) (neg.f64 b)) a) |
(+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) (neg.f64 b)) |
(+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a c) #s(literal -3 binary64)))) (neg.f64 b)) |
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) |
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a c) #s(literal -3 binary64)))) |
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))) |
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a c) #s(literal -3 binary64))) |
(*.f64 (*.f64 c a) #s(literal -3 binary64)) |
(*.f64 (*.f64 a c) #s(literal -3 binary64)) |
(*.f64 c a) |
(*.f64 a c) |
c |
a |
#s(literal -3 binary64) |
(neg.f64 b) |
b |
#s(literal 3 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 3.5470915680552846 | (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) (neg.f64 b)) a) | |
| accuracy | 12.630611063427427 | (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) (neg.f64 b)) | |
| accuracy | 19.110399326556593 | (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) | |
| accuracy | 38.819932459520665 | #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))) | |
| accuracy | 0.171875 | (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) | |
| accuracy | 3.639188622479374 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) | |
| accuracy | 3.692560306942966 | (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c) | |
| accuracy | 21.282173637014303 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) | |
| accuracy | 0.0 | (*.f64 #s(literal 2 binary64) b) | |
| accuracy | 0.05859375 | (/.f64 #s(approx (- b (sqrt (+ (* c (* a 3)) (* b b)))) (*.f64 #s(literal 2 binary64) b)) #s(literal -3 binary64)) | |
| accuracy | 3.62236754215912 | (/.f64 (/.f64 #s(approx (- b (sqrt (+ (* c (* a 3)) (* b b)))) (*.f64 #s(literal 2 binary64) b)) #s(literal -3 binary64)) a) | |
| accuracy | 19.004075841338626 | #s(approx (- b (sqrt (+ (* c (* a 3)) (* b b)))) (*.f64 #s(literal 2 binary64) b)) | |
| accuracy | 0.0 | (/.f64 #s(literal -1/2 binary64) b) | |
| accuracy | 0.12890625 | (*.f64 c (/.f64 #s(literal -1/2 binary64) b)) | |
| accuracy | 21.262030176563037 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) | |
| accuracy | 0.1328125 | (/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b)) a) #s(literal 3 binary64)) | |
| accuracy | 3.5470915680552846 | (/.f64 (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b)) a) | |
| accuracy | 12.630611063427427 | (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b)) | |
| accuracy | 19.110399326556593 | (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) |
| 26.0ms | 34× | 2 | valid |
| 23.0ms | 91× | 0 | invalid |
| 22.0ms | 87× | 0 | valid |
| 22.0ms | 39× | 1 | valid |
| 5.0ms | 5× | 3 | valid |
Compiled 288 to 43 computations (85.1% saved)
ival-mult: 21.0ms (29.1% of total)ival-div: 19.0ms (26.3% of total)adjust: 12.0ms (16.6% of total)ival-sqrt: 8.0ms (11.1% of total)ival-add: 8.0ms (11.1% of total)ival-sub: 3.0ms (4.2% of total)exact: 1.0ms (1.4% of total)ival-neg: 1.0ms (1.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b)) a) #s(literal 3 binary64)) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b)) a) |
(+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b)) |
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
(*.f64 c (/.f64 #s(literal -1/2 binary64) b)) |
(/.f64 #s(literal -1/2 binary64) b) |
(/.f64 (/.f64 #s(approx (- b (sqrt (+ (* c (* a 3)) (* b b)))) (*.f64 #s(literal 2 binary64) b)) #s(literal -3 binary64)) a) |
(/.f64 #s(approx (- b (sqrt (+ (* c (* a 3)) (* b b)))) (*.f64 #s(literal 2 binary64) b)) #s(literal -3 binary64)) |
#s(approx (- b (sqrt (+ (* c (* a 3)) (* b b)))) (*.f64 #s(literal 2 binary64) b)) |
(*.f64 #s(literal 2 binary64) b) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) |
(*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c) |
(*.f64 (/.f64 a b) #s(literal -3/2 binary64)) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) (neg.f64 b)) a) #s(literal 3 binary64)) |
(/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) (neg.f64 b)) a) |
(+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) (neg.f64 b)) |
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) |
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))) |
| Outputs |
|---|
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* -3/2 (/ c b)) |
(+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* -3/2 (/ (* a c) b)) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(* 1/2 (/ c b)) |
(+ (* -3/8 (/ (* a (pow c 2)) (pow b 3))) (* 1/2 (/ c b))) |
(+ (* 1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* 9/16 (/ (* a (pow c 3)) (pow b 5)))))) |
(+ (* 1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* 9/16 (/ (pow c 3) (pow b 5)))))))) |
(* 1/2 (/ (* a c) b)) |
(* a (+ (* -3/8 (/ (* a (pow c 2)) (pow b 3))) (* 1/2 (/ c b)))) |
(* a (+ (* 1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* 9/16 (/ (* a (pow c 3)) (pow b 5))))))) |
(* a (+ (* 1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* 9/16 (/ (pow c 3) (pow b 5))))))))) |
(* a (- (* 9/8 (/ (* a (pow c 2)) (pow b 3))) (* 3/2 (/ c b)))) |
(* a (- (* a (- (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* 3/2 (/ c b)))) |
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* 27/16 (/ (pow c 3) (pow b 5))))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* 3/2 (/ c b)))) |
(* -3/2 (/ a b)) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* (sqrt (/ c a)) (sqrt -3)) |
(+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1 (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1 (/ b a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt 3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt 3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt 3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt 3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt 3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt 3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt 3)))))) |
(* 1/3 (* (sqrt (* a c)) (sqrt 3))) |
(* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt 3))))) |
(* a (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt 3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt 3)))))) |
(* a (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt 3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt 3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt 3))))))) |
(* -1 (* (sqrt (* a c)) (sqrt 3))) |
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt 3)))) |
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt 3)))) (/ b a)) (* (sqrt (/ c a)) (sqrt 3)))) |
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt 3) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt 3)))) (* (sqrt (/ c a)) (sqrt 3))))) |
(* -3 (* a c)) |
(* a (- (/ (pow b 2) a) (* 3 c))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ b (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt -3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1))))) |
(* -1/3 (* (sqrt (* a c)) (* (sqrt -3) (sqrt -1)))) |
(* -1 (* a (+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1)))) (* 1/3 (/ b a))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3))))) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1))))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt -3))))) a)) (* -1/3 b)) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1))))))) |
(* (sqrt (* a c)) (* (sqrt -3) (sqrt -1))) |
(* -1 (* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3))))) a)) (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt -3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))) |
(/ -1/2 b) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt 3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt 3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt 3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt 3)))))) (* 1/3 (/ 1 a))))) |
(+ (* -1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt 3)))) |
(+ (* 1/3 (* (sqrt (* a c)) (sqrt 3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt 3)))) 1/3))) |
(+ (* 1/3 (* (sqrt (* a c)) (sqrt 3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt 3)))))) 1/3))) |
(- b (* (sqrt (* a c)) (sqrt 3))) |
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt 3)))))) (* (sqrt (* a c)) (sqrt 3))) |
(- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt 3)))))))) (* (sqrt (* a c)) (sqrt 3))) |
(* 2 b) |
(- (pow b 2) (* 3 (* a c))) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/ (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(/ (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b) |
(/ (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b) |
(/ (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 1/2 c) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4)))))) b) |
(/ (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 1/2 (* a c))) b) |
(/ (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* 1/2 (* a c)) (* 9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))))) b) |
(/ (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 1/2 (* a c)) (* 9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4)))))) b) |
(/ (- (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c))) b) |
(/ (- (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c)))) b) |
(/ (- (* 1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* 3/2 (* a c)) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4)))))) b) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -2 (/ b a)) |
(* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (* 2 (/ 1 a))))) |
(* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a)))))) |
(* -1 (* b (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a))))))) |
(* -2 b) |
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (* b (+ (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (+ (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (+ (* 1/2 (/ c (pow b 2))) (+ (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (* 2/3 (/ 1 a))))))) |
(* -2/3 b) |
(* -1 (* b (+ 2/3 (* 1/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2/3 (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 1/2 (/ (* a c) (pow b 2))))))) |
(* -1 (* b (+ 2/3 (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* 1/2 (/ (* a c) (pow b 2))) (* 9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6)))))))) |
(* -1 (* b (- (* -3/2 (/ (* a c) (pow b 2))) 2))) |
(* -1 (* b (- (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* 3/2 (/ (* a c) (pow b 2))))))) |
(* -1 (* b (- (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 3/2 (/ (* a c) (pow b 2)))))))) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b)))) |
(* c (- (* c (+ (* -27/16 (/ (* (pow a 2) c) (pow b 5))) (* -9/8 (/ a (pow b 3))))) (* 3/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/8 (/ a (pow b 3))) (* c (+ (* -27/16 (/ (pow a 2) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 3/2 (/ 1 b)))) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) |
(* c (+ (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (+ (* c (+ (* -3/8 (/ a (pow b 3))) (* 9/16 (/ (* (pow a 2) c) (pow b 5))))) (* 1/2 (/ 1 b)))) |
(* c (+ (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))) (* 9/16 (/ (pow a 2) (pow b 5))))))) (* 1/2 (/ 1 b)))) |
(* c (+ (* -3/8 (/ (* (pow a 2) c) (pow b 3))) (* 1/2 (/ a b)))) |
(* c (+ (* 1/2 (/ a b)) (* c (+ (* -3/8 (/ (pow a 2) (pow b 3))) (* 9/16 (/ (* (pow a 3) c) (pow b 5))))))) |
(* c (+ (* 1/2 (/ a b)) (* c (+ (* -3/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)) (* 9/16 (/ (pow a 3) (pow b 5))))))))) |
(* c (- (* 9/8 (/ (* (pow a 2) c) (pow b 3))) (* 3/2 (/ a b)))) |
(* c (- (* c (- (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))) (* 3/2 (/ a b)))) |
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)) (* 27/16 (/ (pow a 3) (pow b 5))))) (* -9/8 (/ (pow a 2) (pow b 3))))) (* 3/2 (/ a b)))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* c (+ (* -1 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -3)))) |
(* c (+ (* -1 (/ b (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1 (/ b (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt 3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt 3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt 3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt 3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt 3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt 3))))))) |
(* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (sqrt 3))))) |
(* c (+ (* -1/3 (/ b c)) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt 3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt 3)))))) |
(* c (+ (* -1/3 (/ b c)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt 3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt 3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt 3))))))) |
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt 3)))) |
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt 3)))) (/ b c)) (* (sqrt (/ a c)) (sqrt 3)))) |
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt 3) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt 3)))) (* (sqrt (/ a c)) (sqrt 3))))) |
(* c (- (/ (pow b 2) c) (* 3 a))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))) (/ b (* a c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -3) (sqrt -1)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -3) (sqrt -1))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -3) (sqrt -1))))))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -3) (sqrt -1)))) (* 1/3 (/ b c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3))))) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -3) (sqrt -1))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt -3))))) c)) (* -1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -3) (sqrt -1))))))) |
(* -1 (* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (* (sqrt -3) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3))))) c)) (* (sqrt (/ a c)) (* (sqrt -3) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt -3))))) c))) c)) (* (sqrt (/ a c)) (* (sqrt -3) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | b | @ | inf | ((/ (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) a) 3) (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) a) (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) (sqrt (+ (* c (* a -3)) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* c (/ -1/2 b)) (/ -1/2 b) (/ (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) a) (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) (- b (sqrt (+ (* c (* a 3)) (* b b)))) (* 2 b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (* (/ a b) -3/2) c) (* (/ a b) -3/2) (/ (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) a) 3) (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) a) (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) (sqrt (- (* b b) (* (* 3 a) c))) (- (* b b) (* (* 3 a) c))) |
| 3.0ms | b | @ | -inf | ((/ (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) a) 3) (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) a) (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) (sqrt (+ (* c (* a -3)) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* c (/ -1/2 b)) (/ -1/2 b) (/ (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) a) (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) (- b (sqrt (+ (* c (* a 3)) (* b b)))) (* 2 b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (* (/ a b) -3/2) c) (* (/ a b) -3/2) (/ (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) a) 3) (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) a) (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) (sqrt (- (* b b) (* (* 3 a) c))) (- (* b b) (* (* 3 a) c))) |
| 3.0ms | b | @ | 0 | ((/ (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) a) 3) (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) a) (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) (sqrt (+ (* c (* a -3)) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* c (/ -1/2 b)) (/ -1/2 b) (/ (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) a) (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) (- b (sqrt (+ (* c (* a 3)) (* b b)))) (* 2 b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (* (/ a b) -3/2) c) (* (/ a b) -3/2) (/ (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) a) 3) (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) a) (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) (sqrt (- (* b b) (* (* 3 a) c))) (- (* b b) (* (* 3 a) c))) |
| 2.0ms | a | @ | -inf | ((/ (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) a) 3) (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) a) (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) (sqrt (+ (* c (* a -3)) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* c (/ -1/2 b)) (/ -1/2 b) (/ (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) a) (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) (- b (sqrt (+ (* c (* a 3)) (* b b)))) (* 2 b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (* (/ a b) -3/2) c) (* (/ a b) -3/2) (/ (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) a) 3) (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) a) (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) (sqrt (- (* b b) (* (* 3 a) c))) (- (* b b) (* (* 3 a) c))) |
| 2.0ms | c | @ | -inf | ((/ (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) a) 3) (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) a) (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) (sqrt (+ (* c (* a -3)) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* c (/ -1/2 b)) (/ -1/2 b) (/ (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) a) (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) (- b (sqrt (+ (* c (* a 3)) (* b b)))) (* 2 b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (* (/ a b) -3/2) c) (* (/ a b) -3/2) (/ (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) a) 3) (/ (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) a) (+ (sqrt (- (* b b) (* (* 3 a) c))) (neg b)) (sqrt (- (* b b) (* (* 3 a) c))) (- (* b b) (* (* 3 a) c))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1086 | 6767 |
| 1 | 3865 | 6761 |
| 0 | 8019 | 6445 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* -3/2 (/ c b)) |
(+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* -3/2 (/ (* a c) b)) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(* 1/2 (/ c b)) |
(+ (* -3/8 (/ (* a (pow c 2)) (pow b 3))) (* 1/2 (/ c b))) |
(+ (* 1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* 9/16 (/ (* a (pow c 3)) (pow b 5)))))) |
(+ (* 1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* 9/16 (/ (pow c 3) (pow b 5)))))))) |
(* 1/2 (/ (* a c) b)) |
(* a (+ (* -3/8 (/ (* a (pow c 2)) (pow b 3))) (* 1/2 (/ c b)))) |
(* a (+ (* 1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* 9/16 (/ (* a (pow c 3)) (pow b 5))))))) |
(* a (+ (* 1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* 9/16 (/ (pow c 3) (pow b 5))))))))) |
(* a (- (* 9/8 (/ (* a (pow c 2)) (pow b 3))) (* 3/2 (/ c b)))) |
(* a (- (* a (- (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* 3/2 (/ c b)))) |
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* 27/16 (/ (pow c 3) (pow b 5))))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* 3/2 (/ c b)))) |
(* -3/2 (/ a b)) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* (sqrt (/ c a)) (sqrt -3)) |
(+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1 (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1 (/ b a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt 3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt 3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt 3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt 3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt 3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt 3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt 3)))))) |
(* 1/3 (* (sqrt (* a c)) (sqrt 3))) |
(* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt 3))))) |
(* a (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt 3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt 3)))))) |
(* a (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt 3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt 3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt 3))))))) |
(* -1 (* (sqrt (* a c)) (sqrt 3))) |
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt 3)))) |
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt 3)))) (/ b a)) (* (sqrt (/ c a)) (sqrt 3)))) |
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt 3) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt 3)))) (* (sqrt (/ c a)) (sqrt 3))))) |
(* -3 (* a c)) |
(* a (- (/ (pow b 2) a) (* 3 c))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ b (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt -3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1))))) |
(* -1/3 (* (sqrt (* a c)) (* (sqrt -3) (sqrt -1)))) |
(* -1 (* a (+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1)))) (* 1/3 (/ b a))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3))))) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1))))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt -3))))) a)) (* -1/3 b)) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1))))))) |
(* (sqrt (* a c)) (* (sqrt -3) (sqrt -1))) |
(* -1 (* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3))))) a)) (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt -3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))) |
(/ -1/2 b) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt 3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt 3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt 3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt 3)))))) (* 1/3 (/ 1 a))))) |
(+ (* -1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt 3)))) |
(+ (* 1/3 (* (sqrt (* a c)) (sqrt 3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt 3)))) 1/3))) |
(+ (* 1/3 (* (sqrt (* a c)) (sqrt 3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt 3)))))) 1/3))) |
(- b (* (sqrt (* a c)) (sqrt 3))) |
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt 3)))))) (* (sqrt (* a c)) (sqrt 3))) |
(- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt 3)))))))) (* (sqrt (* a c)) (sqrt 3))) |
(* 2 b) |
(- (pow b 2) (* 3 (* a c))) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/ (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(/ (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b) |
(/ (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b) |
(/ (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 1/2 c) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4)))))) b) |
(/ (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 1/2 (* a c))) b) |
(/ (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* 1/2 (* a c)) (* 9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))))) b) |
(/ (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 1/2 (* a c)) (* 9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4)))))) b) |
(/ (- (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c))) b) |
(/ (- (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c)))) b) |
(/ (- (* 1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* 3/2 (* a c)) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4)))))) b) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -2 (/ b a)) |
(* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (* 2 (/ 1 a))))) |
(* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a)))))) |
(* -1 (* b (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a))))))) |
(* -2 b) |
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (* b (+ (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (+ (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (+ (* 1/2 (/ c (pow b 2))) (+ (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (* 2/3 (/ 1 a))))))) |
(* -2/3 b) |
(* -1 (* b (+ 2/3 (* 1/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2/3 (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 1/2 (/ (* a c) (pow b 2))))))) |
(* -1 (* b (+ 2/3 (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* 1/2 (/ (* a c) (pow b 2))) (* 9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6)))))))) |
(* -1 (* b (- (* -3/2 (/ (* a c) (pow b 2))) 2))) |
(* -1 (* b (- (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* 3/2 (/ (* a c) (pow b 2))))))) |
(* -1 (* b (- (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 3/2 (/ (* a c) (pow b 2)))))))) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b)))) |
(* c (- (* c (+ (* -27/16 (/ (* (pow a 2) c) (pow b 5))) (* -9/8 (/ a (pow b 3))))) (* 3/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/8 (/ a (pow b 3))) (* c (+ (* -27/16 (/ (pow a 2) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 3/2 (/ 1 b)))) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) |
(* c (+ (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (+ (* c (+ (* -3/8 (/ a (pow b 3))) (* 9/16 (/ (* (pow a 2) c) (pow b 5))))) (* 1/2 (/ 1 b)))) |
(* c (+ (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))) (* 9/16 (/ (pow a 2) (pow b 5))))))) (* 1/2 (/ 1 b)))) |
(* c (+ (* -3/8 (/ (* (pow a 2) c) (pow b 3))) (* 1/2 (/ a b)))) |
(* c (+ (* 1/2 (/ a b)) (* c (+ (* -3/8 (/ (pow a 2) (pow b 3))) (* 9/16 (/ (* (pow a 3) c) (pow b 5))))))) |
(* c (+ (* 1/2 (/ a b)) (* c (+ (* -3/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)) (* 9/16 (/ (pow a 3) (pow b 5))))))))) |
(* c (- (* 9/8 (/ (* (pow a 2) c) (pow b 3))) (* 3/2 (/ a b)))) |
(* c (- (* c (- (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))) (* 3/2 (/ a b)))) |
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)) (* 27/16 (/ (pow a 3) (pow b 5))))) (* -9/8 (/ (pow a 2) (pow b 3))))) (* 3/2 (/ a b)))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* c (+ (* -1 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -3)))) |
(* c (+ (* -1 (/ b (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1 (/ b (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt 3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt 3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt 3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt 3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt 3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt 3))))))) |
(* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (sqrt 3))))) |
(* c (+ (* -1/3 (/ b c)) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt 3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt 3)))))) |
(* c (+ (* -1/3 (/ b c)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt 3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt 3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt 3))))))) |
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt 3)))) |
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt 3)))) (/ b c)) (* (sqrt (/ a c)) (sqrt 3)))) |
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt 3) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt 3)))) (* (sqrt (/ a c)) (sqrt 3))))) |
(* c (- (/ (pow b 2) c) (* 3 a))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))) (/ b (* a c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -3) (sqrt -1)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -3) (sqrt -1))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -3) (sqrt -1))))))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -3) (sqrt -1)))) (* 1/3 (/ b c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3))))) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -3) (sqrt -1))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt -3))))) c)) (* -1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -3) (sqrt -1))))))) |
(* -1 (* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (* (sqrt -3) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3))))) c)) (* (sqrt (/ a c)) (* (sqrt -3) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt -3))))) c))) c)) (* (sqrt (/ a c)) (* (sqrt -3) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a)))) |
| Outputs |
|---|
(* -1/2 (/ c b)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(* -3/2 (/ c b)) |
(*.f64 #s(literal -3/2 binary64) (/.f64 c b)) |
(+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))) |
(fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) |
(+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))) |
(fma.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) |
(+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) |
(* -3/2 (/ (* a c) b)) |
(*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64)) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(*.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) b) |
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(fma.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a b) |
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a b) |
(* 1/2 (/ c b)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 c b)) |
(+ (* -3/8 (/ (* a (pow c 2)) (pow b 3))) (* 1/2 (/ c b))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 c c) a)) (pow.f64 b #s(literal 3 binary64)))) |
(+ (* 1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* 9/16 (/ (* a (pow c 3)) (pow b 5)))))) |
(fma.f64 (fma.f64 #s(literal 9/16 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) |
(+ (* 1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* 9/16 (/ (pow c 3) (pow b 5)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) |
(* 1/2 (/ (* a c) b)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b))) |
(* a (+ (* -3/8 (/ (* a (pow c 2)) (pow b 3))) (* 1/2 (/ c b)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 c c) a)) (pow.f64 b #s(literal 3 binary64)))) a) |
(* a (+ (* 1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* 9/16 (/ (* a (pow c 3)) (pow b 5))))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 9/16 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) a) |
(* a (+ (* 1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* 9/16 (/ (pow c 3) (pow b 5))))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal 9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) a) |
(* a (- (* 9/8 (/ (* a (pow c 2)) (pow b 3))) (* 3/2 (/ c b)))) |
(*.f64 (fma.f64 #s(literal 9/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a) |
(* a (- (* a (- (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* 3/2 (/ c b)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal 9/8 binary64) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a) |
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* 27/16 (/ (pow c 3) (pow b 5))))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* 3/2 (/ c b)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) (/.f64 (*.f64 #s(literal -27/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 #s(literal 9/8 binary64) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a) |
(* -3/2 (/ a b)) |
(*.f64 (/.f64 a b) #s(literal -3/2 binary64)) |
(pow b 2) |
(*.f64 b b) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/3 binary64)) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/3 binary64) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -3 binary64)) (*.f64 (*.f64 #s(literal 1/6 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 -3 binary64)))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/24 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal -3 binary64)) (*.f64 (*.f64 #s(literal 1/6 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 -3 binary64))))))) |
(* (sqrt (/ c a)) (sqrt -3)) |
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a))) |
(+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))) |
(fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b) a)) |
(+ (* -1 (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(+.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a)))) (/.f64 (neg.f64 b) a)) |
(+ (* -1 (/ b a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(fma.f64 #s(literal -1 binary64) (/.f64 b a) (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 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 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a)))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -3 binary64))) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(*.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b) a)) a) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 #s(literal -3 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 -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) |
(*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 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 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b a)))) a) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a)))) a) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 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 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a))))) a) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
(*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 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 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64))))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a)))))) a) |
(* 1/3 (* (sqrt (/ c a)) (sqrt 3))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/3 binary64)) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt 3)))) |
(fma.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/3 binary64) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt 3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt 3))))) |
(fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 1/6 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 3 binary64)))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt 3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt 3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt 3)))))) |
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(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c a))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64))))) (neg.f64 c)) b) (neg.f64 c)))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (neg.f64 c) (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 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(*.f64 (neg.f64 c) (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 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 5 binary64)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))))))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -3) (sqrt -1)))) (* 1/3 (/ b (* a c)))))) |
(*.f64 (neg.f64 c) (*.f64 #s(literal 1/3 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 b a) c)))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -3) (sqrt -1))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))) (neg.f64 c)))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -3) (sqrt -1))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (*.f64 #s(literal -1/24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64))))) (neg.f64 c))) (neg.f64 c)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -3) (sqrt -1)))) (* 1/3 (/ b c))))) |
(*.f64 (neg.f64 c) (*.f64 #s(literal 1/3 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 b c)))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3))))) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -3) (sqrt -1))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 #s(literal -1/3 binary64) b)) (neg.f64 c)))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt -3))))) c)) (* -1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -3) (sqrt -1))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (fma.f64 #s(literal -1/3 binary64) b (/.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 c a))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal -3 binary64))))) (neg.f64 c))) (neg.f64 c)))) |
(* -1 (* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (* (sqrt -3) (sqrt -1)))))) |
(*.f64 (neg.f64 c) (-.f64 (/.f64 (neg.f64 b) c) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* c (- (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3))))) c)) (* (sqrt (/ a c)) (* (sqrt -3) (sqrt -1)))))) |
(*.f64 (neg.f64 c) (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal -3 binary64))) b) (neg.f64 c)) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt -3))))) c))) c)) (* (sqrt (/ a c)) (* (sqrt -3) (sqrt -1)))))) |
(*.f64 (neg.f64 c) (-.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a))))) c) #s(literal -1 binary64) b) (neg.f64 c)) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a)))) |
(*.f64 (neg.f64 c) (fma.f64 (/.f64 (*.f64 b b) c) #s(literal -1 binary64) (*.f64 #s(literal 3 binary64) a))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 291 |
| 0 | 74 | 291 |
| 1 | 237 | 283 |
| 2 | 1536 | 283 |
| 0 | 8600 | 280 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b)) a) #s(literal 3 binary64)) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b)) a) |
(+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b)) |
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
(*.f64 c (/.f64 #s(literal -1/2 binary64) b)) |
(/.f64 #s(literal -1/2 binary64) b) |
(/.f64 (/.f64 #s(approx (- b (sqrt (+ (* c (* a 3)) (* b b)))) (*.f64 #s(literal 2 binary64) b)) #s(literal -3 binary64)) a) |
(/.f64 #s(approx (- b (sqrt (+ (* c (* a 3)) (* b b)))) (*.f64 #s(literal 2 binary64) b)) #s(literal -3 binary64)) |
#s(approx (- b (sqrt (+ (* c (* a 3)) (* b b)))) (*.f64 #s(literal 2 binary64) b)) |
(*.f64 #s(literal 2 binary64) b) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) |
(*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c) |
(*.f64 (/.f64 a b) #s(literal -3/2 binary64)) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) (neg.f64 b)) a) #s(literal 3 binary64)) |
(/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) (neg.f64 b)) a) |
(+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) (neg.f64 b)) |
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) |
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))) |
| Outputs |
|---|
(*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 b))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))) |
(*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 b))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a))) |
(*.f64 (/.f64 (fma.f64 b b (+.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (fma.f64 (neg.f64 b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 (neg.f64 b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a))) |
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))) |
(*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 b)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))) |
(*.f64 (/.f64 (fma.f64 b b (+.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (fma.f64 b b (+.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (fma.f64 b b (+.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (neg.f64 b) a) #s(literal 3 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (pow.f64 (*.f64 #s(literal 3 binary64) a) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 (/.f64 (neg.f64 b) a) #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (/.f64 (/.f64 (neg.f64 b) a) #s(literal 3 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (neg.f64 b) a) #s(literal 3 binary64)) #s(literal 2 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (pow.f64 (*.f64 #s(literal 3 binary64) a) #s(literal 2 binary64))))) (neg.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (neg.f64 b) a) #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (neg.f64 b) a) #s(literal 3 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (pow.f64 (*.f64 #s(literal 3 binary64) a) #s(literal 2 binary64))) (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 b)) (pow.f64 (*.f64 #s(literal 3 binary64) a) #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64)))) (neg.f64 (neg.f64 a))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 b) (*.f64 #s(literal 3 binary64) a) (*.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (neg.f64 (pow.f64 (*.f64 #s(literal 3 binary64) a) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 b))))) (neg.f64 (neg.f64 (*.f64 #s(literal -3 binary64) a)))) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 3 binary64)) a (*.f64 a (/.f64 (neg.f64 b) #s(literal 3 binary64)))) (*.f64 a a)) |
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(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 3 binary64)) #s(literal 3 binary64) (*.f64 a (/.f64 (neg.f64 b) a))) (*.f64 #s(literal 3 binary64) a)) |
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(exp.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a c) #s(literal -3 binary64)))))) |
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a c) #s(literal -3 binary64)))))) (sinh.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a c) #s(literal -3 binary64))))))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a c) #s(literal -3 binary64)))))) (neg.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a c) #s(literal -3 binary64))))))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a c) #s(literal -3 binary64))))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a c) #s(literal -3 binary64))))) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a c) #s(literal -3 binary64))))) (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a c) #s(literal -3 binary64)))))) |
(*.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a c) #s(literal -3 binary64)))) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a c) #s(literal -3 binary64))))) |
(pow.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a c) #s(literal -3 binary64))))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a c) #s(literal -3 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a c) #s(literal -3 binary64)))) #s(literal 2 binary64)) |
(pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a c) #s(literal -3 binary64))) #s(literal 1 binary64)) |
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a c) #s(literal -3 binary64))) |
(sqrt.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a c) #s(literal -3 binary64))) #s(literal 2 binary64))) |
(fabs.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a c) #s(literal -3 binary64)))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a c) #s(literal -3 binary64))))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a c) #s(literal -3 binary64))) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a c) #s(literal -3 binary64)))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a c) #s(literal -3 binary64))))) |
Compiled 28 322 to 3 037 computations (89.3% saved)
30 alts after pruning (20 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 638 | 7 | 645 |
| Fresh | 2 | 13 | 15 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 7 | 7 |
| Total | 642 | 30 | 672 |
| Status | Accuracy | Program |
|---|---|---|
| 53.2% | (/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (/.f64 (neg.f64 b) a))) #s(literal 9 binary64)) | |
| 36.5% | (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) a) (*.f64 #s(literal 3 binary64) a) (*.f64 #s(literal 3 binary64) (neg.f64 b))) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) a))) | |
| 38.6% | (/.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a (*.f64 a (neg.f64 b))) (*.f64 a a)) #s(literal 3 binary64)) | |
| 54.3% | (/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b)) a) #s(literal 3 binary64)) | |
| ✓ | 54.4% | (/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b)) a) #s(literal 3 binary64)) |
| ✓ | 36.5% | (/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) (neg.f64 b)) a) #s(literal 3 binary64)) |
| 36.6% | (/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) (neg.f64 b)) #s(literal 3 binary64)) a) | |
| 36.0% | (/.f64 (/.f64 #s(approx (- b (sqrt (+ (* c (* a 3)) (* b b)))) (+.f64 b b)) #s(literal -3 binary64)) a) | |
| 36.0% | (/.f64 (/.f64 #s(approx (- b (sqrt (+ (* c (* a 3)) (* b b)))) (*.f64 #s(literal 2 binary64) b)) a) #s(literal -3 binary64)) | |
| 32.9% | (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a))) | |
| ✓ | 54.4% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
| ✓ | 54.4% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
| ✓ | 36.6% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) |
| 50.2% | (/.f64 (+.f64 (neg.f64 b) (exp.f64 (log.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) a)) | |
| ✓ | 9.6% | (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c b) b))) (*.f64 #s(literal 3 binary64) a)) |
| 9.1% | (/.f64 #s(approx (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) (/.f64 (*.f64 (*.f64 a c) #s(literal 1/2 binary64)) b)) a) | |
| ✓ | 9.3% | (/.f64 #s(approx (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) (*.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)))) a) |
| 36.0% | (/.f64 #s(approx (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) (*.f64 #s(literal -2/3 binary64) b)) a) | |
| 32.3% | (/.f64 #s(approx (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64)) | |
| 36.0% | (/.f64 #s(approx (- b (sqrt (+ (* c (* a 3)) (* b b)))) (*.f64 #s(literal 2 binary64) b)) (*.f64 #s(literal -3 binary64) a)) | |
| 24.1% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 #s(literal -3/2 binary64) a) c) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 24.3% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c))) (*.f64 #s(literal 3 binary64) a)) | |
| 35.8% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -3/2) 2) (neg b)) (fma.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2 binary64) b)))) (*.f64 #s(literal 3 binary64) a)) | |
| 9.3% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -3/2) 2) (neg b)) (*.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c b))))) (*.f64 #s(literal 3 binary64) a)) | |
| 26.7% | (/.f64 #s(approx (+ (neg b) (sqrt (+ (* (* c -3) a) (* b b)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a)) | |
| 35.3% | #s(approx (/ (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) a) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) | |
| 9.2% | #s(approx (/ (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) a) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) | |
| ✓ | 32.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
| ✓ | 32.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
| ✓ | 36.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
Compiled 2 014 to 833 computations (58.6% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) a) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) |
(/.f64 #s(approx (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) (*.f64 #s(literal -2/3 binary64) b)) a) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (- b (sqrt (+ (* c (* a 3)) (* b b)))) (*.f64 #s(literal 2 binary64) b)) (*.f64 #s(literal -3 binary64) a)) |
(/.f64 (/.f64 #s(approx (- b (sqrt (+ (* c (* a 3)) (* b b)))) (+.f64 b b)) #s(literal -3 binary64)) a) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64)) |
(/.f64 (/.f64 #s(approx (- b (sqrt (+ (* c (* a 3)) (* b b)))) (*.f64 #s(literal 2 binary64) b)) #s(literal -3 binary64)) a) |
(/.f64 (/.f64 #s(approx (- b (sqrt (+ (* c (* a 3)) (* b b)))) (*.f64 #s(literal 2 binary64) b)) a) #s(literal -3 binary64)) |
(/.f64 #s(approx (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) (*.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)))) a) |
(/.f64 #s(approx (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) (/.f64 (*.f64 (*.f64 a c) #s(literal 1/2 binary64)) b)) a) |
(/.f64 #s(approx (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (+ (* (* c -3) a) (* b b)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -3/2) 2) (neg b)) (*.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c b))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 #s(literal -3/2 binary64) a) c) b)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)))) |
#s(approx (/ (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) a) (*.f64 (neg.f64 b) (fma.f64 #s(literal 1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)))) |
#s(approx (/ (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) a) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -3/2) 2) (neg b)) (fma.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2 binary64) b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c b) b))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) (neg.f64 b)) #s(literal 3 binary64)) a) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) (neg.f64 b)) a) #s(literal 3 binary64)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) #s(literal -3 binary64)) a) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b)) a) #s(literal 3 binary64)) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b)) a) #s(literal 3 binary64)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -3/2 binary64) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) c (/.f64 (*.f64 b b) a)) a)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a))) |
(/.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) a (*.f64 a (neg.f64 b))) (*.f64 a a)) #s(literal 3 binary64)) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) a) (*.f64 #s(literal 3 binary64) a) (*.f64 #s(literal 3 binary64) (neg.f64 b))) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) a))) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) a) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (/.f64 (neg.f64 b) a))) #s(literal 9 binary64)) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b))) a) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (/.f64 (neg.f64 b) a))) #s(literal 9 binary64)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -3 binary64) #s(literal 1 binary64)) b) b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) #s(literal 3 binary64)) a (*.f64 a (/.f64 b #s(literal -3 binary64)))) (*.f64 a a)) |
(/.f64 (+.f64 (neg.f64 b) (exp.f64 (log.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 4 binary64))) (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 3 binary64))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (-.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)))) (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 2 binary64))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 b #s(literal 6 binary64)))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 12 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 6 binary64))) (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) #s(literal 2 binary64)) (pow.f64 b #s(literal 8 binary64))) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (pow.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64))))) (*.f64 #s(literal 3 binary64) a)) |
| Outputs |
|---|
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -3/2) 2) (neg b)) (fma.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2 binary64) b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
5 calls:
| 59.0ms | b |
| 12.0ms | c |
| 12.0ms | (*.f64 #s(literal 3 binary64) a) |
| 12.0ms | a |
| 11.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.4% | 1 | (*.f64 #s(literal 3 binary64) a) |
| 76.0% | 5 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 54.4% | 1 | a |
| 86.2% | 3 | b |
| 54.4% | 1 | c |
Compiled 23 to 26 computations (-13% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) a) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) |
(/.f64 #s(approx (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) (*.f64 #s(literal -2/3 binary64) b)) a) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (- b (sqrt (+ (* c (* a 3)) (* b b)))) (*.f64 #s(literal 2 binary64) b)) (*.f64 #s(literal -3 binary64) a)) |
(/.f64 (/.f64 #s(approx (- b (sqrt (+ (* c (* a 3)) (* b b)))) (+.f64 b b)) #s(literal -3 binary64)) a) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64)) |
(/.f64 (/.f64 #s(approx (- b (sqrt (+ (* c (* a 3)) (* b b)))) (*.f64 #s(literal 2 binary64) b)) #s(literal -3 binary64)) a) |
(/.f64 (/.f64 #s(approx (- b (sqrt (+ (* c (* a 3)) (* b b)))) (*.f64 #s(literal 2 binary64) b)) a) #s(literal -3 binary64)) |
(/.f64 #s(approx (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) (*.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)))) a) |
(/.f64 #s(approx (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) (/.f64 (*.f64 (*.f64 a c) #s(literal 1/2 binary64)) b)) a) |
(/.f64 #s(approx (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (+ (* (* c -3) a) (* b b)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -3/2) 2) (neg b)) (*.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c b))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 #s(literal -3/2 binary64) a) c) b)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)))) |
#s(approx (/ (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) a) (*.f64 (neg.f64 b) (fma.f64 #s(literal 1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)))) |
#s(approx (/ (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) a) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -3/2) 2) (neg b)) (fma.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2 binary64) b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c b) b))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))) |
| Outputs |
|---|
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -3/2) 2) (neg b)) (fma.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2 binary64) b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
1 calls:
| 26.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.9% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) a) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) |
(/.f64 #s(approx (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) (*.f64 #s(literal -2/3 binary64) b)) a) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (- b (sqrt (+ (* c (* a 3)) (* b b)))) (*.f64 #s(literal 2 binary64) b)) (*.f64 #s(literal -3 binary64) a)) |
(/.f64 (/.f64 #s(approx (- b (sqrt (+ (* c (* a 3)) (* b b)))) (+.f64 b b)) #s(literal -3 binary64)) a) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64)) |
(/.f64 (/.f64 #s(approx (- b (sqrt (+ (* c (* a 3)) (* b b)))) (*.f64 #s(literal 2 binary64) b)) #s(literal -3 binary64)) a) |
(/.f64 (/.f64 #s(approx (- b (sqrt (+ (* c (* a 3)) (* b b)))) (*.f64 #s(literal 2 binary64) b)) a) #s(literal -3 binary64)) |
(/.f64 #s(approx (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) (*.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)))) a) |
(/.f64 #s(approx (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) (/.f64 (*.f64 (*.f64 a c) #s(literal 1/2 binary64)) b)) a) |
(/.f64 #s(approx (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (+ (* (* c -3) a) (* b b)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -3/2) 2) (neg b)) (*.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c b))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 #s(literal -3/2 binary64) a) c) b)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)))) |
#s(approx (/ (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) a) (*.f64 (neg.f64 b) (fma.f64 #s(literal 1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)))) |
#s(approx (/ (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) a) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) |
| Outputs |
|---|
(/.f64 (/.f64 #s(approx (- b (sqrt (+ (* c (* a 3)) (* b b)))) (+.f64 b b)) #s(literal -3 binary64)) a) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
1 calls:
| 6.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.9% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) a) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) |
(/.f64 #s(approx (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) (*.f64 #s(literal -2/3 binary64) b)) a) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (- b (sqrt (+ (* c (* a 3)) (* b b)))) (*.f64 #s(literal 2 binary64) b)) (*.f64 #s(literal -3 binary64) a)) |
(/.f64 (/.f64 #s(approx (- b (sqrt (+ (* c (* a 3)) (* b b)))) (+.f64 b b)) #s(literal -3 binary64)) a) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* c (* a -3)) (* b b))) (neg b)) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64)) |
(/.f64 (/.f64 #s(approx (- b (sqrt (+ (* c (* a 3)) (* b b)))) (*.f64 #s(literal 2 binary64) b)) #s(literal -3 binary64)) a) |
(/.f64 (/.f64 #s(approx (- b (sqrt (+ (* c (* a 3)) (* b b)))) (*.f64 #s(literal 2 binary64) b)) a) #s(literal -3 binary64)) |
(/.f64 #s(approx (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) (*.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)))) a) |
(/.f64 #s(approx (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) (/.f64 (*.f64 (*.f64 a c) #s(literal 1/2 binary64)) b)) a) |
(/.f64 #s(approx (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (+ (* (* c -3) a) (* b b)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -3/2) 2) (neg b)) (*.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c b))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 #s(literal -3/2 binary64) a) c) b)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)))) |
#s(approx (/ (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) a) (*.f64 (neg.f64 b) (fma.f64 #s(literal 1/2 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)))) |
#s(approx (/ (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) a) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
| Outputs |
|---|
(/.f64 (/.f64 #s(approx (- b (sqrt (+ (* c (* a 3)) (* b b)))) (+.f64 b b)) #s(literal -3 binary64)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
2 calls:
| 6.0ms | b |
| 5.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.4% | 3 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 65.9% | 2 | b |
Compiled 18 to 15 computations (16.7% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) a) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) |
(/.f64 #s(approx (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) (*.f64 #s(literal -2/3 binary64) b)) a) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (- b (sqrt (+ (* c (* a 3)) (* b b)))) (*.f64 #s(literal 2 binary64) b)) (*.f64 #s(literal -3 binary64) a)) |
| Outputs |
|---|
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
1 calls:
| 2.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.9% | 2 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) a) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) |
(/.f64 #s(approx (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) (*.f64 #s(literal -2/3 binary64) b)) a) |
| Outputs |
|---|
(/.f64 #s(approx (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) (*.f64 #s(literal -2/3 binary64) b)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
1 calls:
| 2.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.9% | 2 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) a) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
1 calls:
| 2.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.9% | 2 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
1 calls:
| 1.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.8% | 2 | b |
Compiled 1 to 3 computations (-200% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
5 calls:
| 1.0ms | (*.f64 #s(literal 3 binary64) a) |
| 1.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 1.0ms | a |
| 1.0ms | c |
| 1.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 36.0% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 36.0% | 1 | (*.f64 #s(literal 3 binary64) a) |
| 36.0% | 1 | a |
| 36.0% | 1 | c |
| 36.0% | 1 | b |
Compiled 23 to 26 computations (-13% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 55.0ms | 2.0338180465428313e-89 | 8.705332538048174e-77 |
| 4.0ms | -3.230954752241723e+155 | -8.551295882006068e+152 |
| 33.0ms | 37× | 1 | valid |
| 9.0ms | 133× | 0 | valid |
| 4.0ms | 22× | 2 | valid |
| 3.0ms | 38× | 0 | invalid |
Compiled 528 to 418 computations (20.8% saved)
ival-add: 29.0ms (67.8% of total)ival-mult: 5.0ms (11.7% of total)adjust: 2.0ms (4.7% of total)ival-div: 2.0ms (4.7% of total)ival-sqrt: 2.0ms (4.7% of total)ival-sub: 1.0ms (2.3% of total)ival-neg: 1.0ms (2.3% 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 |
|---|---|---|
| 12.0ms | 2.0338180465428313e-89 | 8.705332538048174e-77 |
| 15.0ms | -2.289694146462356e-110 | -1.7781755474797725e-112 |
| 11.0ms | 152× | 0 | valid |
| 3.0ms | 42× | 0 | invalid |
| 2.0ms | 11× | 2 | valid |
| 2.0ms | 13× | 1 | valid |
Compiled 942 to 728 computations (22.7% saved)
ival-mult: 4.0ms (33.3% of total)ival-div: 2.0ms (16.6% of total)ival-sqrt: 2.0ms (16.6% of total)adjust: 1.0ms (8.3% of total)ival-sub: 1.0ms (8.3% of total)ival-add: 1.0ms (8.3% of total)ival-neg: 1.0ms (8.3% 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 |
|---|---|---|
| 1.0ms | 2.0338180465428313e-89 | 8.705332538048174e-77 |
| 1.0ms | -2.289694146462356e-110 | -1.7781755474797725e-112 |
Compiled 781 to 623 computations (20.2% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 24.0ms | -2.1045578989493295e-300 | 1.7577108964521253e-307 |
| 10.0ms | 144× | 0 | valid |
| 6.0ms | 85× | 0 | invalid |
Compiled 407 to 315 computations (22.6% saved)
ival-mult: 4.0ms (38.5% of total)ival-div: 1.0ms (9.6% of total)ival-add: 1.0ms (9.6% of total)ival-sub: 1.0ms (9.6% of total)ival-sqrt: 1.0ms (9.6% of total)ival-neg: 1.0ms (9.6% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -2.1045578989493295e-300 | 1.7577108964521253e-307 |
Compiled 416 to 333 computations (20% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -2.1045578989493295e-300 | 1.7577108964521253e-307 |
Compiled 407 to 324 computations (20.4% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -2.1045578989493295e-300 | 1.7577108964521253e-307 |
Compiled 434 to 324 computations (25.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -2.1045578989493295e-300 | 1.7577108964521253e-307 |
Compiled 434 to 324 computations (25.3% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 89 | 526 |
| 1 | 133 | 526 |
| 2 | 238 | 526 |
| 3 | 511 | 526 |
| 4 | 1588 | 526 |
| 5 | 5037 | 526 |
| 6 | 7565 | 526 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 b #s(literal -10000000000000000369475456880582265409809179829842688451922778552150543659347219597216513109705408327446511753687232667314337003349573404171046192448274432 binary64)) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -3/2) 2) (neg b)) (fma.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2 binary64) b)))) (*.f64 #s(literal 3 binary64) a)) (if (<=.f64 b #s(literal 6174337525708881/16687398718132110018711107079449625895333629080911349765211262561111091607661254297054391304192 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))) |
(if (<=.f64 b #s(literal -475960297528979/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192 binary64)) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -3/2) 2) (neg b)) (fma.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2 binary64) b)))) (*.f64 #s(literal 3 binary64) a)) (if (<=.f64 b #s(literal 7676203410340771/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))) |
(if (<=.f64 b #s(literal -475960297528979/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192 binary64)) (/.f64 (/.f64 #s(approx (- b (sqrt (+ (* c (* a 3)) (* b b)))) (+.f64 b b)) #s(literal -3 binary64)) a) (if (<=.f64 b #s(literal 7676203410340771/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))) |
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 (/.f64 #s(approx (- b (sqrt (+ (* c (* a 3)) (* b b)))) (+.f64 b b)) #s(literal -3 binary64)) a) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 #s(approx (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) (*.f64 #s(literal -2/3 binary64) b)) a) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
| Outputs |
|---|
(if (<=.f64 b #s(literal -10000000000000000369475456880582265409809179829842688451922778552150543659347219597216513109705408327446511753687232667314337003349573404171046192448274432 binary64)) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -3/2) 2) (neg b)) (fma.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2 binary64) b)))) (*.f64 #s(literal 3 binary64) a)) (if (<=.f64 b #s(literal 6174337525708881/16687398718132110018711107079449625895333629080911349765211262561111091607661254297054391304192 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))) |
(if (<=.f64 b #s(literal -475960297528979/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192 binary64)) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -3/2) 2) (neg b)) (fma.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2 binary64) b)))) (*.f64 #s(literal 3 binary64) a)) (if (<=.f64 b #s(literal 7676203410340771/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))) |
(if (<=.f64 b #s(literal -475960297528979/21153791001287955166461289857048673274508949854856999017108761448780985319561963066406054734070889115122918784800747465736192 binary64)) (/.f64 (/.f64 #s(approx (- b (sqrt (+ (* c (* a 3)) (* b b)))) (+.f64 b b)) #s(literal -3 binary64)) a) (if (<=.f64 b #s(literal 7676203410340771/33374797436264220037422214158899251790667258161822699530422525122222183215322508594108782608384 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))) |
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 (/.f64 #s(approx (- b (sqrt (+ (* c (* a 3)) (* b b)))) (+.f64 b b)) #s(literal -3 binary64)) a) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 #s(approx (/ (- b (sqrt (+ (* c (* a 3)) (* b b)))) -3) (*.f64 #s(literal -2/3 binary64) b)) a) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 51 |
| 0 | 20 | 51 |
| 1 | 65 | 51 |
| 2 | 483 | 50 |
| 3 | 5833 | 49 |
| 0 | 8853 | 45 |
| 0 | 48 | 283 |
| 0 | 73 | 283 |
| 1 | 266 | 277 |
| 2 | 1879 | 277 |
| 0 | 8470 | 275 |
| 0 | 860 | 5052 |
| 1 | 3122 | 5000 |
| 0 | 8478 | 4762 |
| 0 | 49 | 291 |
| 0 | 74 | 291 |
| 1 | 237 | 283 |
| 2 | 1536 | 283 |
| 0 | 8600 | 280 |
| 0 | 2011 | 17393 |
| 1 | 6521 | 17251 |
| 0 | 8744 | 16534 |
| 0 | 560 | 3023 |
| 1 | 1942 | 3000 |
| 0 | 8064 | 2850 |
| 1× | fuel |
| 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× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 526 to 91 computations (82.7% saved)
Compiled 1 086 to 206 computations (81% saved)
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